Answer: 55
Step-by-step explanation:
By the alternate exterior angles theorem,
\(3x-65=2x-10\\x-65=-10\\x=55\)
What is the area?
Write your answer as a fraction or as a whole or mixed number.
Answer:
Step-by-step explanation:
4.5 x 3 = 13.5 mi^2
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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which expression is equivalent to ×7*×8?
Answer: If you mean 7 times 8 that is 56
Other expressions that are equal
- 56 times 1
- 1 times 56
- 2 times 28
- 4 times 14
Slope of Linear Equations
Which description best compares the graph given by the following equations:
5x-3y = -5
2x-y = 8
parallel
perpendicular
intersecting but not perpendicular
ANSWER TO GET BRANLIEST!!!A soda company would like to replace the label on a can of soda with a radius of 4 and one fourth cm. If the label touches end to end with no overlap, what is the length of the label? Use 22 over 7 for π.
Step-by-step explanation:
The circumference of the can is 22/7 * 4 = 88/7 cm.
Since the label needs to touch end-to-end with no overlap, the length of the label is equal to the circumference of the can, so it is 88/7 cm.
Find the percent of the following problems: 2.) What percent of 90 is 72?
Answer:
5%
Step-by-step explanation:
Let p be the unknown percent.
Put this into a basic equation - (p/100)*90=72
Simplify this expression and you will get 5%
Cafeteria A has 7 packs of granola bars and 12 loose granola bars. Cafeteria B has 3 packs of granola bars and 84 loose granola bars. If the cafeterias have
the same number of granola bars, how many are in each package?
Each package has 18 granola bars.
Step-by-step explanation:This problem can be solved through a system of linear equations.
1. Form the equations.Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.
For cafeteria A: \(7x+12=y\)
For cafeteria B: \(3x+84=y\)
Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.
\(7x+12=3x+84\).
3. Solve for x.\(7x+12=3x+84\)
\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.
\(4x=72\) --> Simplify by solving the substraction.
\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.
\(x= 18\)
4. Substitute the vallue of x by x on any of the equations.\(y=7(18)+12\\ \\y=138.\)
5. Interpret the results.If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.
7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
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Answer:
the correct option is D
Step-by-step explanation:
Can y’all help me please...ASAP
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Tonya knows a half gallon of juice at the store costs $2.29. She decided to buy 10 gallons of juice for a party.
How much money will Tonya need to buy 10 gallons of juice?
Answer:
$45.80
Step-by-step explanation:
First, let's multiply $2.29 · 2. This gives us $4.58.
Second, multiply $4.58 · 10. This gives you $45.80.
Tonya will need $45.80 to buy the desired amount of juice.
Answer:
she will need $22.90
Step-by-step explanation:
m.
x-intercept =
1/2
and y-intercept = 3
Write an equation for the line in point-slope form and in slope-intercept form
Answer:
slope intercept form: y= -6x+3
point slope form: y-0= -6(x -1/2)
Step-by-step explanation:
point slope form: y - y1 = m(x - x1)
substitute the values y-0=-6(x-1/2)
slope intercept form:
find the slope using two given points
m = (y2 - y1) / (x2 - x1)
= (3 - 0) / (0 - 1/2)
= 3 / (-1/2)
= -6
substitute into equation
y= -6x+3
Mr. Kimball receives a $3000 annual salary
increase on the anniversary of his hiring if he receives
a satisfactory performance review. His starting salary
was $41,250. Write an equation to show k, Mr.
Kimball's salary after t years at this company if his
performance reviews are always satisfactory.
Answer:
OK so he gets 3000 a year
so 3000t is what we need. thats 3000 times the number of years.
His starting salary is 41250, so we would add that on.
K = 3000t + 41250.
Step-by-step explanation:
Please help me 100 points
What's
\( \sf t0e_{12} + tee_{12}\)
Answer: 12e(et+OT)
Step-by-step explanation:
Answer:
12e(et+OT)Hope it helps <3
the shadow of a statue is 20 feet long while the shadow of a student is 4ft long. if the student is 6ft tall how tall is the statue
Answer:
30 ft. tallStep-by-step explanation:
ratio and proportion:
20 ft. long = 4 ft. long
x tall 6 ft. tall
4 (x) = 20 (6)
x = 120 / 4
x = 30 ft. tall
Lainey bought a set of 26 markers for $6. What is the cost of 1 marker?Round answers to the nearest hundredths where necessary.
Answer:
$0.23
Explanation:
\(\begin{gathered} \text{Cost of 26 markers =}\$6 \\ \therefore\text{Cost of 1 marker =}\frac{\$6}{26} \\ =\$0.23\text{ (to the nearest hundredth)} \end{gathered}\)If you can walk 5.3 miles in 2.5 hours, how many minutes does it take to walk 3.18 miles? Round to 1 decimal.
Answer:
90min
Step-by-step explanation:
we can solve the first part by means of the rule of three:
5.3miles ----2.5 hour
3.18miles----x
then
\(x=\frac{3.18*2.5}{5.3} \\x=\frac{7.95}{5.3} \\x=1.5 hours\)
Now we must convert hours to minutes:
1.5 hours = 1.5hours (1)
1.5 hours =1.5 hours \(\frac{60min}{1 hours}\)
1.5 hours =(1.5)(60) min
1,.5 hours =90min
What is the ratio of x to y?
5x = 6y
Answer:
6:5
Step-by-step explanation:
Divide both sides by y . ⇒5xy=6y y. ⇒5xy=6. Divide both sides by 5 . ⇒5 x5 y=65. ⇒xy=65. ⇒x:y=6:5.
The ratio between x and y, when 5x = 6y, is 6:5.
Given is an equation 5x = 6y, we need to find the ratio between x and y,
To determine the ratio of x to y in the equation 5x = 6y, we need to isolate one of the variables and express it in terms of the other.
Let's isolate x:
5x = 6y
Divide both sides of the equation by 5:
x = (6y) / 5
Now we have an expression for x in terms of y. The ratio of x to y can be represented as:
x/y = (6y) / (5y)
The y terms cancel out:
x/y = 6/5
Therefore, the ratio of x to y is 6:5.
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The length of a rectangle is 4 less than 5 times the width. The perimeter is 148 ft.
Find the length and width of the rectangle.
Answer:
Here to get the points thanks for recommending this ur so nice.
Step-by-step explanation:
determine which ordered pair makes the inequality true 2x + 3y < 12
ANSWER
EXPLANATION
We have to replace (x, y) for each ordered pair and see which one makes the inequality true:
a.
\(\begin{gathered} 2\cdot0+3\cdot7\le12 \\ 0+21\le12 \\ 21\le12\text{ }\rightarrow\text{ false} \end{gathered}\)b.
\(\begin{gathered} 2\cdot1+3\cdot9\le12 \\ 2+27\le12 \\ 29\le12\text{ }\rightarrow\text{ false} \end{gathered}\)c.
\(\begin{gathered} 2\cdot2+3\cdot2\le12 \\ 4+6\le12 \\ 10\le12\text{ }\rightarrow\text{ true} \end{gathered}\)d.
\(undefined\)2 IP1Questions 1-9 of 9 | Page 1 of 1Show instructionsQuestion 1 (5 points)y = 5xd: {-2, -1, 0, 1, 2} {HeBlank 1:Blank 2:Blank 3Blank 4Blank 5Question 2 4 points
Given:
y = 5x
We are also given the domain values:
d: {-2, -1, 0, 1, 2}
The range will be all set of output values.
To find the range, substitute the set of domain values for x.
1) y = 5(-2) = -10
2) y = 5(-1) = -5
3) y = 5(0) = 0
4) y = 5(1) = 5
5) y = 5(2) = 10
ANSWER:
Blank 1: -10
Blank 2: -5
Blank 3: 0
Blank 4: 5
Blamk 5: 10
The set of range values are:
r: {-10, -5, 0, 5, 10}
Kevin is k years old. Ben is 8 years older than Kevin. Hannah is 2 times older than Ben. What is Hannah’s age?
Answer:
2k+16
Step-by-step explanation:
Kevin: k
Ben: 8 years older than k, k+8
Hannah: 2 times Ben's age, 2(k+8)=2k+16
Find the x and y intercepts of the function.16. -x + 3y = 18
X,Y intercepts of
-x + 3y = 18
First find x intercept. Write y= 0
henT
Then
-x + 3•0 = 18
x = -18
Next,find y intercept. Write x=0
Then
(-1)•0 + 3y = 18
y = 18/3= 6
So, in consecuence x and y intercepts are
point A= (-18,0)
point B= (0,6)
divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
2x - 4
5
= 4
What does x equal
Answer:
x=20, please confirm as problem layout is incorrect.
Step-by-step explanation:
I’m going to assume that this means 2/5x-4=4
You get 2/5x=8
X=20
Subtract.
6 1/3 − 4 1/9 = ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????/
Answer:
2 2/9
Step-by-step explanation:
6-4=2
1/3 is equal to 3/9
3/9-1/9=2/9
Combine them
2 2/9
Hope it Helps!
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25), what is the value of x?
Step-by-step explanation: the answer is x = 1/2
The value of x is 27 units.
It is required to find the value of x.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
If m∠1 equals (4x + 2) and m∠3 equals (5x − 25),
According to given question we have,
m∠1 =m∠3
(4x + 2)=(5x − 25)
compare the like terms and simplify we get,
2+25=5x-4x
27=x
Therefore, the value of x is 27 units.
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The accompanying technology output was obtained by using the paired data consisting of foot lengths (cm) and heights (cm) of a sample of 40 people. Along with the paired sample data, the technology was also given a foot length of 20.4cm to be used for predicting height. The technology found that there is a linear correlation between height and foot length. If someone has a foot length of 20.4 cm, what is the single value that is the best-predicted height for that person?
The best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
To find the best-predicted height for someone with a foot length of 20.4 cm, we need to use the linear regression equation that relates foot length and height. The linear regression equation is of the form:
y = a + bx
where y is the predicted height, x is the foot length, a is the y-intercept, and b is the slope of the regression line.
From the given information, we know that the technology found a linear correlation between height and foot length. This means that we can use the paired data to calculate the values of a and b in the regression equation.
Using the paired data and technology, we can obtain the following regression equation:
height = 34.774 + 1.4966 (foot length)
Now we can substitute the given foot length of 20.4 cm into the equation to obtain the predicted height:
height = 34.774 + 1.4966 (20.4)
height = 65.83 cm
Therefore, the best-predicted height for someone with a foot length of 20.4 cm is approximately 65.83 cm.
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