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3 years ago

14

How to compare the two numbers

1 answer:

allochka39001 [22]3 years ago

5 0

a.}

b.{

i cant see the rest of c

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A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters

ss7ja [257]

Answer:

A

Step-by-step explanation:

I got a 100%

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3 years ago

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What is 9y=2x for y I need help with this problem

mojhsa [17]

The first step for finding y is to divide both sides of the equation by 9.
9y ÷ 9 = 2x ÷ 9
When dividing 9 by 9 you must remember that any expression divided by itself equals 1.
y = 2x ÷ 9
Now write 2 ÷ 9 as a fraction.
y = $\frac{2}{9}$ x
This means that the answer to your question is that y = $\frac{2}{9}$ x.
Let me know if you have any further questions.
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3 years ago

Kat runs 3 1/2 miles in 3/4 of an hour. What is her unit rate? Use fractions to find out and express your answer as a mixed numb

Drupady [299]

Answer:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=

12 miles

1 hour = 12 miles hour = 12 miles per hour

Step-by-step explanation:

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3 years ago

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The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

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3 years ago

The pie recipe calls for twice as many peaches as nectarines. If it takes a total of 168 pieces of fruit for all the pies, how m

Inessa05 [86]

84 since 84 times 2 equals 168

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4 years ago