The circumference of a circle is 37.68 meters. What is the area of the circle?

George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did h

miv72 [106K]

Answer:

$\dfrac{5}{3}\ \text{pounds}$

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds.

George fed his dog 5 times with this bag of food.

We need to find how many pounds of food did the dog eat at each feeding. Let it be x.

$x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}$

So, the dog eat $\dfrac{5}{3}\ \text{pounds}$ of food at each feeding.

3 0

3 years ago

10x + 7y = –8<br> 7x + 7y = –14

Georgia [21]

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

10x + 7y = - 8 → (1)

7x + 7y = - 14 → (2)

Subtract (2) from (1) term by term to eliminate y

(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

10(2) + 7y = - 8

20 + 7y = - 8 ( subtract 20 from both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution to the system of equations is (2, - 4 )

4 0

3 years ago

function g is a transformation of the parent function f(x)=x^2 the graph of g is a translation right 2 and down 5units of the gr

Natali [406]

right 3 units down 5 units

$f(x)=x^2$

right 3 units = (3,0)

down 5 units = (0,-5)

vertex = (h,k) therefore.

$g(x)=(x-3)^2-5$

Then convert the vertex form into standard form for the equation in the choice.

$g(x)=(x-3)^2-5\\g(x)=(x^2-6x+9)-5+9\\g(x)=(x^2-6x)+4\\g(x)=x^2-6x+4$

Thus, the answer is B.

6 0

3 years ago

Identify the corresponding word problem given the equation: x = 10.20 × 9 A) At a restaurant, William and nine friends divided t

Lynna [10]

I think it is B. and the amount that they each need to pay is $1.13

7 0

3 years ago

Each of the line segments in the word MATH are numbered in the graph below. Find the slope (as a ratio of rise over run) of each

emmasim [6.3K]

Answer/Step-by-step explanation:

7. Line 1 = undefined.

Slope of a vertical line is always undefined. The run is zero as x-coordinate remains the same.

8. Line 2 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-5 -(-8)}$

$slope = \frac{8 - 4}{-5 + 8}$

$slope = \frac{4}{3}$

9. Line 3 = $\frac{4}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 4}{-2 -(-5)}$

$slope = \frac{8 - 4}{-2 + 5}$

$slope = \frac{4}{3}$

10. Line 4 = undefined (slope of a vertical line is always undefined)

11. Line 5 = $\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 2}$

$slope = \frac{7}{3}$

12. Line 6 = $-\frac{7}{3}$

$slope = \frac{y_2 - y_1}{x_2 - x_1}$

$slope = \frac{8 - 1}{5 - 8}$

$slope = \frac{7}{-3}$

$slope = -\frac{7}{3}$

13. Line 7 = 0

An horizontal line has no rise.

14. Line 8 = 0 (slope of horizontal line is always zero)

15. Line 9 = undefined (slope of a vertical line is always undefined)

16. Line 10 = undefined (slope of a vertical line is always undefined)

17. Line 11 = 0 (slope of horizontal line is always zero)

18. Line 12 = undefined (slope of a vertical line is always undefined)

5 0

3 years ago