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3 years ago

Write a unit rate for the situation. Show work

1 answer:

6 0

7. 50 words per minute
250 ÷ 5 = 50

8. $0.33 for every 1 banana
1.98 ÷ 6 = 0.33

9. 5 meters per second
20 ÷ 4 = 5

10. 20 miles for every 1 gallon
400 ÷ 20 = 20

Hope this helps! If you have any questions feel free to ask :)

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B. How was the original $20,000 investment split between the two interest rates?

Roman55 [17]

Answer:

t + f = 2000

let represent the amount invested at three percent; let f represent the amount invested at five percent. The total of these amounts is $20,000. The total of the interest earned by each amount is $800. Of course the interest earned is the amount multiplied by the interest rate.

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2 years ago

What is the value of StartFraction 1.6 times 10 Superscript 14 Baseline Over 3.2 times 10 Superscript 7 Baseline EndFraction in

Lubov Fominskaja [6]

Answer:

C. 5.0*10 superscript 6

Step-by-step explanation:

i just took the test and i got it right.

8 0

3 years ago

Compare 1.41___1.397 < > =

Snowcat [4.5K]

1.41 is greater than 1.39
>

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2 years ago

Bad Investment After Mrs. Fisher lost 9% of her investment, she had $22,750. What was Mrs. Fisher's original investment?

stira [4]

Answer:

$2500

Step-by-step explanation:

Given that,

The lost percentage = 9%

Amount she had = $22,750

We need to find Mrs. Fisher's original investment.

As she had lost 9%, it means she will remain with 91% of her investment. Let the original investment is x.

So,

$91\%\ of \ x=22,750\\\\\dfrac{91}{100}x=22,750\\\\x=\dfrac{22,750\times 100}{91}\\\\x=\$25000$

So, her original investment is equal to $25000.

7 0

3 years ago

Please help me solve for x =

Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

$\frac{26}{2} = \frac{2x}{2}$

13 = x

Verify whether x = 13 is the correct value:

$\frac{ML}{NM} = \frac{ST}{PS}$

$\frac{8}{10} = \frac{x - 1}{x + 2}$

$\frac{8/2}{10/2} = \frac{4}{5}$

$\frac{x -1}{x+2} = \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}$

This shows the proportional relationship between $\frac{ML}{NM} = \frac{ST}{PS}$ , and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0

3 years ago