How to set up equation
Answers
Answer:
To set up an equation, you must first see what the question is looking for.
Hope this helps :)
Answer:
Basic Steps to Setting Up EquationsDetermine what the question is asking. Write down the relevant information in simple statements. Assign symbols to unknown values that need to be found. Determine how the statements relate to each other mathematically.
Step-by-step explanation:
if right mark as brainliestRelated Questions
A faucet leaks 9 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128 oz.) b) If water costs $10.31 per 1000 gal, how much additional money is being spent on the water bill?
Answers
The amount of water wasted in a year is 36,960 gallons and the additional cost on the water bill due to the leaky faucet is $381.31.
(a). We know that the faucet leaks 9 oz of water per minute. There are 60 minutes in an hour and 24 hours in a day, so the total number of minutes in a day is
60 x 24 = 1440
The number of ounces of water wasted in a day is
1440 x 9 = 12,960.
To find out how many ounces of water is wasted in a year, we multiply the number of ounces wasted in a day by the number of days in a year is
12,960 x 365 = 4,734,240 oz.
To convert the number of ounces wasted in a year to gallons, we divide by the number of ounces in a gallon is
4,734,240 ÷ 128 = 36,960
(b). Water costs $10.31 per 1000 gal, so to find the cost per gallon
$10.31 ÷ 1000 = $0.01031 per gallon.
To calculate the additional cost on the water bill, we multiply the number of gallons wasted in a year by the cost per gallon is
36,960 x $0.01031 = $381.31.
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Examine the diagram.
The mZ1 is
the 63° angle.
What is the measure of angle 1?
v degrees
1
63°
Answers
Answer:
1. the supplement of
2. 117
Step-by-step explanation:
got it right
Answer:
The m∠1 is
the supplement ofthe 63° angle.
What is the measure of angle 1?
117degrees
Open Picture Need Help With 11 & 12
Answers
Answer:
Step-by-step explanation:
7). (x + 3)(x + 7)
= x(x + 7) + 3(x + 7)
= x² + 7x + 3x + 21
= x² + 10x + 21
8). (4x + 2)(x - 2)
= 4x(x - 2) + 2(x - 2)
= 4x² - 8x + 2x - 4
= 4x² - 6x - 4
9). (3x + 2)(2x + 5)
= 3x(2x + 5) + 2(2x + 5)
= 6x² + 15x + 4x + 10
= 6x² + 19x + 10
10). (x² - 6)(x - 4)
= x²(x - 4) - 6(x - 4)
= x³ - 4x² - 6x + 24
11). (x² + 9)(x - 3)
= x²(x - 3) + 9(x - 3)
= x³ - 3x² + 9x - 27
12). (4x²- 4)(2x + 1)
= 4x²(2x + 1) - 4(2x + 1)
= 8x³ + 4x² - 8x - 4
What is (x³-8x² + 6x +41) ÷ (x-4)
Answers
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
Please help me for 15 points
Answers
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee
Answers
We do this because the factors are the numbers determining the number of people and the number of teams, for example if they used the factors 6 and 10 for 60, they would make 6 teams of 10 people. And since factors are whole numbers, it makes sense for people and doesn’t cut ppl in half.
So the greatest factor that 72 and 60 gave have in common is 12, bc 5 x 12 is 60 and 6 x 12 is 72, and they don’t have other factors in common that are higher than 12.
This means that 12 is the answer, bc it’s the largest number of students that a team could have, in both the fourth and third grades.
a bit of help please?
Answers
The value of x for the chord is:
x = 12
How to find the value of x for the chord of the circle?A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.
Recall that: If two chords intersect inside the circle, then they cut each other in such a way that the product of the lengths of the parts is the same for the two chords.
Using the above principle, we can say:
3 * x = 4 * 9
3x = 36
x = 36/3
x = 12
Thus, the value of x for the chord is 12.
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The ESS Ravens bought pizza for $900 to sell at the football game. They kept 10 pizzas to feed the players after the game and sold the rest for $1040. There were 8 slices in each pizza. Their profit was 50 cents a slice.
a) How many pizzas were in the original order?
Answers
Answer: 45
Step-by-step explanation:
The total profit in all was \(1040-900=\$ 140\).
The total profit per pizza was \((0.50)(8)=\$4\).
This means they sold \(\frac{140}{4}=35\) pizzas.
Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.
determine the surface area and volume
Answers
The surface area of a cylinder is 284m² and it's volume is 366.9m³
What is the surface area and volume of a cylinder?To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:
Surface Area (A) = 2πr² + 2πrhVolume (V) = πr²hFrom the given question, the data are;
radius = 4mheight = 7.3ma. The surface area of the cylinder is;
SA = 2π(4)² + 2π(4)(7.3)
SA = 283.999≈284m²
b. The volume of the cylinder is
v = πr²h
v = π(4)²(7.3)
v = 366.9m³
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write an explanation on how to solve x-5.5=22.9
Answers
Answer:
28.4
Step-by-step explanation:
Add 5.5 to both sides.
x - 5.5+5.5 cancels out the -5.5 to get x.
x = 22.9+5.5
x=28.4
I need help with this
Answers
Answer:
1500
Step-by-step explanation:
Number of boxes = 12
Number of pencils in each box = 125
Total number of pencils
= 12 × 125
= 1500 pencils
Write 6.789 in word from
Answers
Answer:
six- and seven hundred eighty nine hundredths
Step-by-step explanation:
6 is the whole number
789 is ow many hundreths there is
4x Which reason is NOT typically used in a proof?
A
4x B
D
definition of supplementary angles
substitution property
C two angles being congruent
parallel fines
Answers
The reason that is NOT typically used in a proof is two angles being congruent. Option C.
Among the options A, B, C, and D, the reason that is NOT typically used in a proof is option C: two angles being congruent.
Congruence is a fundamental concept in geometry that refers to the equality of shape and size. When two angles are congruent, it means they have the same measure. While congruence is an important concept used in geometric proofs, it is typically not used as a standalone reason in a proof.
In geometric proofs, various properties, theorems, and postulates are used to establish relationships and make deductions. Let's briefly discuss the other options:
A. Definition of supplementary angles: This is a valid reason that is commonly used in proofs involving supplementary angles. The definition states that if the sum of two angles is 180 degrees, they are considered supplementary.
B. Substitution property: The substitution property is a logical property used in algebraic proofs. It allows us to replace one expression with another expression that is equal to it. This property is often employed when simplifying equations or substituting known values.
D. Parallel lines: The concept of parallel lines is frequently utilized in geometric proofs, particularly in proving angles and angle relationships. Properties such as alternate interior angles, corresponding angles, and vertical angles are established based on the parallel lines. Option C is correct.
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When 2 times a number is increased by 9, the answer is the same as
when 30 is decreased by the number. Find the number. HELP ME
Answers
Answer:
its 7
Step-by-step explanation:
why did u delete my answer if its right?
Let f(x) = x2 − 2x + 1. Find the inverse function of f by identifying an appropriate restriction of its domain.
Answers
Answer: \(f^{-1} (x) = \sqrt{x} +1\)
Step-by-step explanation:
\(y = x^2 - 2x + 1\)
We know straight away the inverse will be a square root function. We also know that this inverse will have a restriction on the domain, (because you can only take the square root of a positive number).
So, to find the inverse, first we'll switch the x and y and solve for y:
\(x = y^2 - 2y +1\)
\(x = (y-1)^2\), (factor!)
±\(\sqrt{x} = y - 1\)
So, the inverse "function" is:
\(f^-1(x)\) = ±\(\sqrt{x} +1\)
But theres an issue here!
If we tried graphing this, this "function" would not pass the vertical line test, so its not really a function at all!
We need to restrict the domain to only include the values that are above the x axis.
So our final inverse function is:
\(f^{-1} (x) = \sqrt{x} +1\)
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
![What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/qBCO5ypO9m13MpdV66LMvZB6FUp8SIQM.png)
Answers
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
Answers
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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Nicholas uses 2 pints of stain on each table that he makes. How many tables can he paint with 1 gallon of stain?
____sets
Answers
Answer:
8 tables
Step-by-step explanation:
ayee
Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack with 90 beads or a large pack with 300 beads. The small pack costs $3.60, while the large pack costs $9.00. Which pack is the better value?
Answers
3.60/90=.04
9.00/300=.03
Each bead costs $0.04 per bead where the large pack, each bead costs $0.03.
Answer:
the bigger pack is better
Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Answers
Answer:
45 pages
Step-by-step explanation:
The unit rate is
10 pages /2 hours
5 pages per hour
We have 9 hours
5 pages per hour * 9 hours
45 pages
Answer:
45 pages in 9 hours
Step-by-step explanation:
Divide to find the unit rate of pages per hour.
10/2 = 5 pages per hour
Multiply.
5*9 = 45
Best of Luck!
Shelby keeps all her vacation pictures in 2 photo albums. One of the photo albums is 2/3 full and the other is 5/6 full. How much of the photo albums are full?
Answers
Answer: 1 1/2
Step-by-step explanation:
What degree of rotation about the origin will cause the triangle below to map
onto itself?
B
-8 -6
C
8
6
MO
2
-2-
T
-6-
-8
6 8
Answers
Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet
Step-by-step explanation:
Can you find the surface area of a rectangular prism 2,3,4
Answers
Answer:
48
Step-by-step explanation:
4*2*3 for the 4 flaps
2*4*3 for the 2 tops
(4*2*3) + (2*4*3) = 48
Answer:
52 square inches
Step-by-step explanation:
to find the surface area of a rectangular prism the formula is
S.A.=2(l*w+l*h+w*h)
2(4*3+4*2+3*2)
=52 square inches
here l is length w is width and h is height
Find the critical numbers of the function (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) P(X) - x2 + 2 2x-1
Answers
The Critical Values of the function p(x) = (x² + 2)/(2x - 1) are 2 and -1 .
The Critical Numbers of the function p(x) = (x² + 2)/(2x - 1) are the values of "x" where the derivative of the function is 0 or undefined.
To find the critical numbers, we first find the derivative of the function:
that is p'(x) = [2x(2x - 1) - (x² + 2)(2)]/(2x - 1)² ;
Next, we equate derivative to 0 and solve for x:
⇒2x(2x - 1) - (x² + 2)(2) = 0
Expanding and simplifying the equation:
⇒ 4x² - 2x - (x² + 2)(2) = 0
⇒ 4x² - 2x - 4 - 2x²= 0
⇒ 2x² - 2x - 4 = 0
⇒ x² - x - 2 = 0
Simplifying further ,
we get ;
⇒ x = 2 , -1 .
Therefore , the critical numbers are 2 and -1 .
The given question is incomplete , the complete question is
Find the critical numbers of the function (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
p(x) = (x² + 2)/(2x - 1) ;
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please help Jacqueline is a teacher in Alaska, where she contributes 9% of her earnings to her pension. If her earnings for a school year were $42,000, what did she contribute to her pension?
a.) $3,250
b.) $3,560
c.) $3,780
d.) $3,890
will give brainliest
Answers
Answer:
c.) $3,780
Step-by-step explanation:
9/100 × $42,000
= 9 × $420
= $3,780
What else would need to be congruent to show that AABC= A
DEF by SAS?
B
E
Given:
ZA ZD
AB DE
C D
A. BC = EF
B. ZC ZF
C. ZA ZD
OD. AC = DF
F
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
Angles A and D have to be the included angles.
The required, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct,
What is congruent geometry?In geometry, two figures are congruent if they have the same shape and size, and all their corresponding parts (sides, angles, and vertices) are congruent. Congruent figures can be moved, rotated, or reflected without changing their shape or size.
Here,
Consider the triangle ABC and triangle DEF,
AB ≅ DE [Given in the question]
∠A ≅ ∠D [Given in the question]
AC ≅ DF [Since side adjacent to equal angle and side are always equal]
So, triangle ABC is congruent to triangle DEF by the SAS postulate of congruency.
Thus, we need AC ≅ DF to prove the triangles congruent with the SAS postulate. Option D is correct.
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(c) Given the expression x, the value of the coefficient is
Answers
Answer:
Before a variable there is no coefficient.
There is an invisible 1 infront bc there is no real number. so the 1 appears.
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
Answers
The equivalent value of the expression is A = 12 + 6x + 6x + 6y
Given data ,
Let the expression be represented as A
Now , the value of A is
A = 6(2 + x + x + y)
On simplifying the equation , we get
A = 6 ( 2 ) + 6x + 6x + 6y
On further simplification , we get
A = 12 + 6x + 6x + 6y
Hence , the expression is A = 12 + 6x + 6x + 6y
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The complete question is attached below :
which expression uess exactly terms and is equivalent to 6(2 + x + x + y)
Determine the slope of the line that is parallel
Answers
Answer:
Slope= -(3x)/2
Step-by-step explanation:
Since the line is parallel it means it looks like the first line, so they are going the same rate. So they are the same like but with different y intercepts because they started at different places on the graph. But because it’s the same line, both lines have the same slope :)
Think about using decimal models to show 6.84. If you only used tenths what place would you not be able to model? How many tenths would you use to model the other two places?
Answers
Step-by-step explanation:
plase see it i work by paper worksheet
