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Svetradugi [14.3K]

3 years ago

12

Trinity can run around the perimeter of her school's sports field in 4.75 minutes. It takes Jing 1.2 minutes longer. Alberto can

run around the perimeter of the field in 5.9 minutes. Which correctly compares Jing's running time to Alberto's running time?

1 answer:

Goryan [66]3 years ago

3 0

We need answer options girl

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the area of malcolm's room is 160 square feet. The length of his room is 16 feet. What is the width of his room? What is perimet

spin [16.1K]

10, you divide the area by its length to get the width.

7 0

3 years ago

Which expression is equivalent to x^2/3

Nat2105 [25]

Answer:

$\sqrt[3]{x^{2} }$ or $x^{2}$ * $x^{1/3}$

Step-by-step explanation:

Given: $x^{2/3}$

Equivalent expression is $\sqrt[3]{x^{2} }$ or $x^{2}$ * $x^{1/3}$

7 0

3 years ago

A wall is 300 square feet.a gallon of paint covers 110 square feet. What is an appropriate conversion factor to help determine h

saveliy_v [14]

Answer:

(1 gallon)/(100 ft^2)

Step-by-step explanation:

(1 gallon)/(100 ft^2) is a good conversion factor. We could also use (100 ft^2)/(1 gallon), but I like the first, since the calculation is simpler:

(300ft^2)*/(1 gallon)/(100 ft^2) = 3 gallons [I like multiplication better than division, and especially here, since 300/100 is 3, if my memory is correct.

8 0

2 years ago

Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer

Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so $P = 9000$

Interest rate of 8%, so $r = 0.08$

Compounded quarterly, so $n = 4$

5 years and 6 months, that is, 5 years and half, so $t = 5.5$

(a) How much would the value of her savings at the end of the term?

$A(t) = P(1 + \frac{r}{n})^{nt}$

$A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82$

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

5 0

3 years ago

Suppose that a dimension x and the area A of a shape are differentiable functions of t. Write an equation that relates to .

marusya05 [52]

Complete question is;

Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write an equation that relates dA/dt to dx/dt.

Answer:

Step-by-step explanation:

Since A = 2x²

Let's differentiate both sides with respect to x.

dA/dx = 4x

Now, we want to find the relationship between dA/dt and dx/dt

dA/dt can be expressed as;

(dA/dt) = (dA/dx) × (dx/dt)

Thus;

dA/dt = 4x(dx/dt)

Thus, the equation that relates dA/dt to dx/dt is;

dA/dt = 4x(dx/dt)

7 0

3 years ago