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3 years ago

Complete the equivalent fractions: 3/ = 15/20= /100

1 answer:

5 0

Your answer would be 3/4 = 15/20 = 75/100
Now their are two ways to figure out this problem.
You can look at the relationship with 3 and 15. 3 x 5 is 15 so you can determine that something x 5 equals 20. Well 20 x 5 = 4 so your answer is 3/4.
You would then do the same thing with 15/20.
20 x 5= 100, so do 15 x 5 which is 75. Answer is 75/100
Now here is the 2nd way you could have done it.
well we know that 3/4 equals .75 and that equals 75/100 as a fraction. Then divide top and bottom by 5 to get 15/20.

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If the general solution of a differential equation is y(t)equals=Upper C e Superscript negative 4 t Baseline plus 7Ce−4t+7, wh

Maru [420]

Answer:

$y(t) = 3e^{-4t}+7$

Step-by-step explanation:

$y(t) = Ce^{-4t}+7$

At y(0) = 10, when t = 0, y = 10.

$y(0) = 10 = Ce^{-4\times0}+7$

$10 = C+7$

$C = 3$

Hence, the solution is

$y(t) = 3e^{-4t}+7$

8 0

3 years ago

Read 2 more answers

How many milliliters of olive oil (D=0.92 g/mL) have the same mass as 1.80 L of gasoline (D= .74 g/mL)

True [87]

Answer:

1448 mL

Step-by-step explanation:

The mass is the same.

Formula

m = d*V

Givens

Olive Oil

d = 0.92 grams / mL

V = ??

Gasoline

d = 0.74 grams / mL

V = 1.8 L = 1.8 L * (1000 ml / L)

V = 1800 mL

Solution

0.74 * 1800 mL = 0.92 * x Divide both sides by 0.92

0.74/0.92 * 1800 mL = 0.92 *x / 0.92 Combine the left

0.8043 * 1800 mL = x

x = 1448 mL

The volume of Olive Oil needed is 1448 mL

5 0

3 years ago

If f(z)= sqrt z2+8z , then how much does f(z) increase as z goes from 7 to 8?

Nuetrik [128]

Answer:

Step-by-step explanation:

$f(7)=\sqrt{7^2+8*7}=\sqrt{49+56}=\sqrt{105} \approx 10.247\\f(8)=\sqrt{8^2+8*8}=\sqrt{128}=8\sqrt{2} \approx 11.314\\f(8)-f(7)=11.314-10.247=1.067 \approx 1.07$

3 0

3 years ago

A quadrilateral is reflected over the y-axis. Which of the following statements about the coordinates of the image are true?

Nat2105 [25]

If it’s only reflected over the y axis then only the x values change

5 0

3 years ago

(2, -4), (x, y) , A , and B all lie on the line. Find an equation relating x and y.

frutty [35]

Answer:

An equation relating x and y is:

y = 3/4x - 5.5

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(2, -4), (x, y), A(6, -1), and B(10, 2)

Taking any two points let say A(6, -1), and B(10, 2) to determine the slope

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(6,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:2\right)$

$m=\frac{2-\left(-1\right)}{10-6}$

Refine

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

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = -5.5

Thus, the y-intercept b = -5.5

Thus, substituting b = -5.5 and m = 3/4 in the slope-intercept form of the line equation

y = mx+b

y = 3/4x + (-5.5)

y = 3/4x - 5.5

Therefore, an equation relating x and y is:

y = 3/4x - 5.5

8 0

3 years ago