I need help
1. To correctly find 10% of a total you could do each of the following except
1
(1) divide by 10

Answers

Answer 1
Divorce is a good place for you to go

Related Questions

Drag and drop numbers into the boxes to complete the expanded form of 706.039.

Answers

The expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

What is expanded form?

We break up a number according to its place value and expand it to show the value of each digit.

Given that to write expanded form of 706.039

Expanded Factors Form:

706.039 = 7 × 100  + 0 × 10 + 6 × 1  + 0 × 0.1 + 3 × 0.01 + 9 × 0.001

Expanded Notation Form:

706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

Hence, the expanded form of the given decimal number is 706.039 = 700 + 0 + 6 +0.0 +0.03 +0.009

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What is the midpoint of the line segment graphed below?

What is the midpoint of the line segment graphed below?

Answers

The midpoint of the line joining the endpoints (-1, 5) and (-8, -4) will be (-4.5, 0.5).

Given that:

Endpoints, (-1, 5) and (-8, -4)

The coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The midpoint is calculated as,
(x, y) = [(-1 - 8) / 2, (5 - 4) / 2]

(x, y) = (-9 / 2, 1 / 2)

(x, y) = (-4.5, 0.5)

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Simplify these expressions
a) 7p+6q-2p+q​

Answers

Answer:

5p + 7q

Step-by-step explanation:

7p + 6q - 2p + q​

All you need to do is....

Combine Like Terms

* Put all the ones with "p"'s together, and all the ones with "q"'s together

7p with -2p and 6q with q

7p - 2p + 6q + q

5p + 7q

And you cannot simplify it anymore, because they are not like terms (dont have the same variables)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

7p+6q-2p+q

Rearrange the terms:

=7p-2p+6q+q

= 5p+7q as the answer

Step-by-step explanation:

l hope it helps

36 divided by m over x times 9

Answers

Answer:

Step-by-step explanation:

4/mx

Graph 7/3≥z on a number line

Answers

Answer:

See below

Step-by-step explanation:

Graph 7/3z on a number line

1 point
What is Nick required to do for an hour before soccer on Saturdays?
laundry
O read his dad's dictionary
practice his soccer skills
clean his room

Please help please lease ASAP

Answers

practice his soccer skills. why? because he has soccer soon and practicing his skills would make him better

-1/2u+3/5=1/6 What is u?

Answers

Hello, there today we will be solving your problem

_____________________

\(\huge\blue{\mid{\fbox{\tt{Answer}}\mid}}\)

\(u=\frac{13}{15}\)

\(\huge\blue{\mid{\fbox{\tt{Explanation}}\mid}}\)

Definitions

Multiplication - Multiplication, otherwise known as the inverse of division repeats a certain number's value into what it has been multiplied by. Ex. \(4\cdot4=16\)

Fraction - A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, or three-quarters.

Algebra - Algebra is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all mathematics

Reciprocal - In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by \(\frac{1}x\) or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction \(\frac{a}b\) is \(\frac{b}a\). For the multiplicative inverse of a real number, divide 1 by the number.

_____________________

Now we can solve this equationStep one - Subtract:   \(-\frac{1}{2} u=\frac{1}{6}-\frac{3}{5}\)Step two - Simplify: \(-\frac{1}{2} u=-\frac{13}{30}\)Step three - Multiply by the reciprocal of \(-\frac{1}2\): \(-\frac{1}{2}u\cdot -\frac{2}{1}=-\frac{13}{30}\cdot -\frac{2}{1}\)Step four- Simplify: \(u=\frac{13}{15}\)Your answer is  \(u=\frac{13}{15}\)

A horse owner needs to replace four sections of a coral for the horses. The first section
needs 26 yards of fencing, the second needs 10 3/5, the third, 10 1/5 yards, and the fourth,
8 3/10 yards. How many yards are needed to repair four sections of the fencing?
10

Answers

Answer:

55 1/10 yd

Step-by-step explanation:

26 + 10 + 3/5 + 10 + 1/5 + 8 + 3/10 =

= 54 + 4/5 + 3/10 =

= 54 + (8 + 3)/10 =

= 54 + 11/10 =

= 54 + 10/10 + 1/10 =

= 54 + 1 + 1/10 =

= 55 1/10

Answer:

55\(\frac{1}{10}\)

Step-by-step explanation:

Convert all the mixed numbers to fractions with a common denominator (10) then add them up:

26 + 53/5 + 51/5 + 83/10 =

26 + 106/10 + 102/10 + 83/10 =

26 + 291/10 =

26 + 29\(\frac{1}{10}\) = 55\(\frac{1}{10}\)

The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.

Answers

y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle RST

A circle with center P is shown. RS and ST are tangent to circle P. What is the degree measure of angle

Answers

Bro I’m rly sorry but I don’t know the answer to this

The dimensions of a small post office are 7 feet 2 inches by 6 feet 7 inches. Why would you use the measurement 7 feet 2 inches instead of 6 feet 14 ​inches?

Answers

By using conventional units of measurement, calculations are made consistently and without confusion.

what is distance ?

Distance in mathematics refers to the numerical measurement of the actual distance between two locations. It is a measurement of the distance between two things or places, typically expressed in terms of meters, kilometers, feet, miles, etc. The Pythagorean theorem can be used to determine the separation between two points in a plane in Euclidean mathematics. The following equation can be used to determine how far two locations (x1, y1) and (x2, y2) are from one another in a two-dimensional space:

distance is equal to (((x2 - x1)2 Plus ((y2 - y1)2)

The following formula can be used to determine how far two locations are from one another in three dimensions: (((x2 - x1)2 + (y2 - y1)2 + (z2 - z1)2) is the formula for distance. In many areas of mathematics, including geometry, algebra, and calculus, distance is a crucial notion.

given

To preserve the use of standard units of measurement, the measurement of 7 feet 2 inches rather than 6 feet 14 inches is preferred.

One foot is equal to 12 inches in this method. In cases where the total number of inches is less than 12, 6 feet and 14 inches should be changed to feet and inches.

The following formula can be used to change 6 feet, 14 inches to 7 feet, 2 inches:

It is possible to divide 14 inches into 12 inches and 2 inches, or 1 foot and 2 inches.

To get 7 feet, multiply 1 foot by 6 feet.

Therefore, the post office has a total height and width of 7 feet 2 inches.

By using conventional units of measurement, calculations are made consistently and without confusion.

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2/3 x − 9 − 2x + 2 = 1 Which is an equivalent equation after combining like terms?

Answers

Answer:

Any equation shown in the explanation

Step-by-step explanation:

Hello!

Combining like terms means combining terms with the same variables.

So combing all x's, all y's, all numbers, etc.

2/3x - 9 - 2x + 2 = 1

combine the x's

-1 1/3 x - 9 + 2 = 1

combine normal numbers

-1 1/3 x - 7 = 1

Add 7 to both sides

-1 1/3x = 8

Make mixed number into improper fraction

-4/3x = 8

Multiply both sides by 3

-4x = 24

Divide both sides by -4

x = -6

The answer would be any of the equation I showed above

Hope this helps!

What are m and bin the linear equation, using the common meanings of m and b?
1 + 4x + 6 - X= y

Answers

Answer:

\( \times = 18\)

Write an informal negation for each of the following statements. Be careful to avoid negations that are ambiguous.
a. All dogs are friendly.
b. All people are happy.
c. Some suspicions were substantiated.
d. Some estimates are accurate.

Answers

The informal negation for each of the following statements:

1) No dog is ferocious.

2) Noboby is sad.

4) No suspicions were unsubstantiated.

5) No estimate is incorrect.

What is informal negation?

It is sometimes necessary in mathematics to determine the inverse of a given mathematical statement. This is commonly known as "negating" a statement. Keep in mind that if a statement is true, then its negation is false (and if a statement is false, then its negation is true). A conditional statement's negation is logically equivalent to a conjunction of the antecedent and the negation of the consequent. The logical negation symbol or is one of the statement connectives or operators that can be used to combine two or more statements to form new compound statements. It simply flips the truth value of any statement it appears in front of.

Here,

Each of the following statements has an informal negation:

1) No dog is ferocious.

2) Noboby is sad.

4) No suspicions were unsubstantiated.

5) No estimate is incorrect.

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Reflect the following points over the
x-axis. (-5, -3) (-2,-6) (-4,-8)

Answers

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

Factor the expression. 35g2 - 2gh - 24h2

Answers

Answer:(7g-6h)(5g+4h)

Step-by-step explanation:

35g^2-2gh-24h^2

35g^2+28gh-30gh-24h^2

7g(5g+4h)-6h(5g+4h)

(7g-6h)(5g+4h)

Here are the weights (in pounds) of 20 steers on an experimental feed diet:
183 140 136 142 172 153 172 156 70 167 192 166 113 171 159 129 112 135 174 155
How would you describe this data's overall shape?

Answers

The data set is skewed to the left due to higher frequency of weight of steers (172 lbs) above the mean.

Mean of the data set

The mean of the data set is calculated as follows;

x' = (183 + 140 + 136 + 142 + 172 + 153 + 172 + 156 + 70 + 167 + 192 + 166 + 113 + 171 + 159 + 129 + 112 + 135 + 174 + 155) / 20

x' = 149.85

Distribution of the data set

70-------1

112------1

113------1

135------1

136------1

140-----1

142------1

153 ------1

155 ------1

156-------1

159--------1

166--------1

167--------1

171 ------- 1

172 ------ 2

174 -------- 1

183 --------- 1

192 ---------1

Thus, the data set is skewed to the left due to higher frequency of weight of steers (172 lbs) above the mean.

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In a certain science experiment, it was required to estimate the nitrogen
content of the blood plasma of a certain colony of rats at their 37th day of age.
A sample of 9 rats was taken at random and the following data was obtained
(grams per 100cc of plasma):
0.98, 0.83, 0.99, 0.86, 0.90, 0.81, 0.94, 0.92, and 0.87.
Find the estimates for the average content and the variation in nitrogen
content in the colony.

Answers

The estimates for the average content is 0.9.

The variation in nitrogen content in the colony is 0.0036.

What is the average of a data set?

The average of a data set or the mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The sum of the data set is calculated as follows;

total = 0.98 + 0.83 + 0.99 + 0.86 + 0.9 + 0.81 + 0.94 + 0.92 + 0.87

total = 8.1

The estimated average of the nitrogen content  = 8.1/9 = 0.9

The deviation of each data from the mean;

= (0.98 - 0.9), (0.83 - 0.9), (0.99 - 0.9), (0.86 - 0.9), (0.9 - 0.9), (0.81 - 0.9), (0.94 - 0.9), (0.92 - 0.9), (0.87 - 0.9)

= 0.08, -0.07, 0.09, -0.04, 0, -0.09, 0.04, 0.02, -0.03

The sum of the square of each data from the mean;

= (0.08)² + (-0.07)²  + (0.09)² + (-0.04)² + (0.0)² + (-0.09)² + (0.04)² + (0.02)² + (-0.03)²

= 0.032

The variation of the data sample = (0.032)/9 = 0.0036

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Change to slope-intercept form. Then find the y-intercept, first point, and second point.
x + 3y > 9
slope intercept form
y -Intercept
first point (let x=0)
second point

Answers

Answer:

\(x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9\)

Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good barometer of the overall stock market. On January 31, 2006, 9 of the 30 stocks making up the DJIA increased in price (The Wall Street Journal, February 1, 2006). On the basis of this fact, a financial analyst states we can therefore assume that 30% of the stocks traded on the New York Stock Exchange (NYSE) went up the same day.

A sample of 76 stocks traded on the NYSE that day showed that 36 went up.

You are conducting a study to see if the proportion of stocks that went up is is significantly more than 0.3. You use a significance level of .

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =


What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value =

Answers

The test static value for the stocks is obtained as 3.482.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

It is given that -

The number of stocks n = 76

X = Number of stocks that got increased in price = 36

p = Proportion of stocks that got increased in price.

The formula for p is p = X/n.

Substitute the values in the equation -

p = 76/36 = 2.11111

Now find the value for q -

q = 1 - p

= 1 - 2.11111

= -1.11111

P=0.3

Q = 1 - P

= 1 - 0.3

= 0.7

Now, the values for H0 and H1 are -

H0 : P = 0.3

H1 : P > 0.3

Under H0, the test statistic is given by -

Z = (p - P)/√(PQ/n)

Substitute the values in the equation -

Z = (2.11111 - 0.3)/√(0.3 × 0.7/76)

Z = 1.81111 /√0.002763

Z = 1.81111 /0.052

Z = 3.482

Therefore, test statistic is 3.482.

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absolute value evaluate problem
|-4| =?

SHOW WORK:

Answers

The expression |-4| has a value of 4 when evaluated

How to evaluate the absolute expression

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2

Answers

The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm

To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.

The formula for a confidence interval for the population mean (μ) is:

Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))

For the first situation:

n = 15

Confidence level is 95% (which corresponds to an alpha level of 0.05)

x = 35 (sample mean)

s = 2.7 (sample standard deviation)

Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.

The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.

Plugging the values into the formula:

Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))

Calculating the confidence interval:

Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)

Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.

For the second situation:

n = 37

Confidence level is 99% (which corresponds to an alpha level of 0.01)

x = 82 (sample mean)

s = 5.9 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.

The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.

Plugging the values into the formula:

Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))

Calculating the confidence interval:

Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)

Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)

Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.

For the third situation:

n = 1009

Confidence level is 90% (which corresponds to an alpha level of 0.10)

x = 0.9 (sample mean)

s = 0.04 (sample standard deviation)

The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.

The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.

Plugging the values into the formula:

Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))

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WILL GIVE 5 STARS

Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.


Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)


Part B: How much time does Angela spend playing golf every day? (3 points)


Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.

Answers

A: The linear equations are x + y = 125 and x = y + 45.

B: Everyday Angela spends 40 minutes in playing golf.

C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Part A:

Let x be the number of minutes Angela plays soccer every day

Let y be the number of minutes Angela plays golf every day

According to the problem statement the linear equations are -

x + y = 125 (total time playing both sports is 125 minutes)

x = y + 45 (Angela plays 45 more minutes of soccer than golf)

Part B:

Substitute x = y + 45 into the first equation -

(y + 45) + y = 125

Use the addition operation -

2y + 45 = 125

2y = 80

y = 40

Angela spends 40 minutes playing golf every day.

Part C:

If Angela spends 80 minutes playing soccer every day, then

x = 80

y + 45 = 80 (using the equation x = y + 45)

y = 35

But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.

This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.

Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.

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The volume of a tree stump can be modeled by considering it as a right cylinder. Lauren measures it’s height as 0.7ft and it’s radius as 20in find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary

Answers

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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A basket holds m apples you pick 2n-3 apples and your friends picks n+4 how many baskets do you need to carry all the apples.

Answers

Answer: The number of baskets = (3n+1)/m

Step-by-step explanation:

The total number of apples picked:

yours (2n-3)  + your friend (n+4)

Divide the combined total by the number in one basket (m):

((2n-3)+(n+4))/m

Simplify:

(3n+1)/m

help i have test and have no idea how to do this

help i have test and have no idea how to do this

Answers

5 "Always." Consecutive angles of a rectangle are always congruent.

6 "Never." A parallelogram is not always a square.

7 "Sometimes." In a rhombus, the diagonals are always perpendicular bisectors of each other, but they are not always congruent.

8 "Always." A rectangle has congruent sides, but not necessarily all four sides.

9 Given: ABCD is a parallelogram

To prove: AABC = ACDA

Proof:

AB || DC (definition of parallelogram)

AD || BC (definition of parallelogram)

∠ABC = ∠CDA (alternate interior angles)

AC = AC (reflexive property)

∠BCA = ∠DAC (alternate interior angles)

Therefore, AABC = ACDA (ASA congruence theorem)

10 Given: TRAP is an isosceles trapezoid

To prove: AAPR ARTA

TR = AP (definition of isosceles trapezoid)

∠APT = ∠ATR (alternate interior angles)

∠PAR = ∠RTA (alternate interior angles)

∠PAR = ∠APT (angles at a point)

Therefore, AAPR ARTA (AA congruence theorem)

How to explain the information

Consecutive angles of a rectangle are always congruent. This is a property of rectangles that is true for every rectangle.

A square is a specific type of parallelogram that has all four sides congruent and all four angles right angles.

A rectangle has two pairs of opposite sides that are congruent, but the adjacent sides may have different lengths. This is a defining characteristic of rectangles, and it is always true for every rectangle.

The ASA congruence theorem states that two triangles are congruent if two angles and the included side of one triangle are congruent to the two angles and the included side of the other triangle. In this case, ∠ABC and ∠CDA are congruent by (3), AC is congruent by (4), and ∠BCA and ∠DAC are congruent by (5). Therefore, AABC = ACDA by the ASA congruence theorem.

The AA congruence theorem states that two triangles are congruent if two angles of one triangle are congruent to two angles of the other triangle, and the side between those angles is congruent in both triangles

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A construction crew needs to lay a total of 240 feet of underground pipes. On day one, the team was able to lay 145 feet 3 inches of pipe. How much pipe still needs to be laid?

Answers

94 feet 7 inches

Step-by-step explanation:

240,0- 145,3

=94,7

Note in my country we don't use feet and inches so I took this question in a form of meters, either way you still get the same answer

???????????????????????? Help

???????????????????????? Help

Answers

Answer:

A

Step-by-step explanation:

please give me brainliest

The possibility of this is A

Need the answer for 18 please!!!

Need the answer for 18 please!!!

Answers

Answer:

D (2, 1)

Step-by-step explanation:

Fir an in-detailed representation, image below

Started with plotting the given center (yellow)From the center: go 5 units up, down, right and left (light blue)You will have 5 points plotted nowconnect the light blue dots to form a circle (red, not to scale!)Now, locate every choice point, which one is on the red line?D!!!!!

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Need the answer for 18 please!!!

My father’s monthly salary is twice what my mother makes in a month. Their combined salary is P27,000


Please help !

Answers

Step-by-step explanation:

mother salary: x

father salary:2x

total salary =27000

therefore 3x=27000

so x=900 (divided by 3)

therefore mother salary = 900

father salary=2multiplied by 900=1800

Answer:

Father's monthly salary is P18,000

Mother's monthly salary is P9,000

Step-by-step explanation:

The problem above can be solved by using "algebraic expressions."

Let x be the father's monthly salary

Let y be mother's monthly salary

Formula: x + y = P27,000

If father's monthly salary is twice than what mother makes, then: x = 2y, which means,

2y (father's salary) + y (mother's salary) = P27,000

First step: 2y + y = P27,000

Second step: 3y = P27,000

Third step: y = \(\frac{P27,000}{3}\)

Fourth step: y = P9,000

So, mother's salary is P9,000. This means we can get father's salary:

2y = 2 × P9,000 = P18,000 (this is the value of x)

So, father's salary is P18,000.

If we combine both of their salaries, the product is P27,000.

x + y = P27,000

P18,000 + P9,000 = P27,000

So, this explains the answer.

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