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kirill115 [55]
3 years ago
6

You pay $3 per square foot for carpeting. Which equation can be solved to find the

Mathematics
1 answer:
mestny [16]3 years ago
4 0

Answer:

$135

Step-by-step explanation:

Step 1

Conversion

Base = 2 yards

1 yard = 3 feet

2 yards = x

Cross Multiply

x = 2 × 3 feet = 6 feet

Height = 5 yards

1 yard = 3 feet

5 yards = x

Cross Multiply

x = 5 × 3 feet = 15 feet

Step 2

Find the area of the triangle

Area of a triangle = 1/2 × base × height

Base = 6 feet

Height = 15 feet

Area = 1/2 × 6 × 15

= 45 square feet

Step 3

Find the cost of the carpet

1 Square foot = $3

45 square feet = x

Cross Multiply

x = 45 × $3

x = $135

Therefore, the amount you will pay to cover a triangular section of the floor is $135

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1/3 of ___ is 1/27<br> please help asap
tekilochka [14]

Answer:

1/9 use inverse.

Step-by-step explanation:

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3 0
2 years ago
Solve the equation by completing the square. round to the nearest hundredth if necessary. x^2-6x=20
amm1812
X^2 - 6x = 20
x^2 - 6x + 9 = 20 + 9
(x - 3)^2 = 29
x - 3 = (+-) sqrt 29
x = 3 (+-) sqrt 29
x = 3 (+-) 5.39

x = 3 + 5.39 = 8.39 <=
x = 3 - 5.39 = - 2.39 <=
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3 years ago
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A rectangle has an area of 69.6m^2.
omeli [17]

Answer: The perimeter of the rectangle is 53.8. One side is 24, and the other is 2.9.

Step-by-step explanation:

First you need to divide 69.6 meters by 2.9. This gives you 24 as the other side of the rectangle(remember that the area of a rectangle is lw). Next you multiply 2.9 x 2. This gives you 5.8, then you multiply 24 by 2. This gives you 48. You add the two values together,and you get the perimeter of the rectangle as 53.8.

3 0
3 years ago
A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor
Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

\hat{y} = 50.57+0.4845x

Comparing the equation to a linear equation:

y = mx + c

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B5x%20-%207%7D%20%20%3D%2010" id="TexFormula1" title=" \frac{5}{5x - 7} =
Alex17521 [72]

Answer:

x=1.5

Step-by-step explanation:

  1. 5=10(5x-7)
  2. 0.5=5x-7
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