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iogann1982 [59]
3 years ago
8

Solve each problem using proportions. Show work.

Mathematics
1 answer:
irina [24]3 years ago
8 0
You put 15 over 65 is equal to 50 over x, then you multiply diagonally so 15x = 3250 then you divide both sides by 15 to get 216.67 which means 50 pencils equals 2.17 dollars
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Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%
Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

4\%=4/100=0.04

10\%=10/100=0.10

so

0.04(x)+0.10(21,000-x)=870

Solve for x

0.04x+2,100-0.10x=870

0.10x-0.04x=2,100-870

0.06x=1,230

x=\$20,500

21,000-x=\$500

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

7 0
3 years ago
There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could
Eddi Din [679]

Answer:

Step-by-step explanation:

8 0
3 years ago
Nora and Eli are making homemade spring rolls for a party. Nora can make 8 spring rolls in 10 minutes. Eli can make 10 spring ro
devlian [24]
Eli will finish first.

Use 8/10 and 10/12. This represents how many spring rolls over how many minutes. Make your equations like this: 8/10 = 40/x and 10/12 = 40/x. Find x, which will give you the minutes it takes them to make 40 rolls.

You get x = 50 for the first one and x = 48 for the second. Nora makes 40 rolls  in 50 minutes, and Eli makes 40 rolls in 48 minutes. Eli is faster. 

Hope this helped! Please mark me brainliest!
4 0
3 years ago
Can someone help me with this?
Arisa [49]

Answer:

look at the picture

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is 49.4÷13 in area model​
zvonat [6]
This photo is the explanation

4 0
2 years ago
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