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kolbaska11 [484]
4 years ago
8

Phoebe and Emilio are both working on a homework assignment of 36 problems. Phoebe has completed 75% of her homework problems. E

milia has completed 2/3 of hers
who has the most homework to,complete
Mathematics
1 answer:
svet-max [94.6K]4 years ago
7 0

Answer:

Amelia has the most homework to complete. She has 12 questions left to go. Phoebe has only 9.

Step-by-step explanation:

The easiest way to do this is to figure out the fractions represent how many questions are left.

Phoebe: 1 - 75/100 = 25/100 She has 25/100 left to go.

Emilia: 1 - 2/3 = 1/3 Emilia has 1/3 of the questions left.

Knowing that

Phoebe: 25/100 * 36 = 900/100 = 9. Phoebe has nine questions left.

Amelia: 1/3 * 36 = 12 Amilia has 12 questions left to go.

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you invested 29,000 in two accounts paying 6% and 8% annual interest, respectively. if the total interest earned for the year is
yulyashka [42]
You can solve this using a system of equations:
0.06x + 0.08y = 2060 (interest)
x + y = 29,000 (money invested)

Multiply each term in the second equation by -0.06 to cancel out the 0.06x from the first equation.

-0.06x - 0.06y = -1740

Now add this equation to the first equation and solve for y.

 0.06x + 0.08y = 2060
-0.06x - 0.06y = -1740

0.02y = 320
y = 16,000

Since you know y = 16,000 you can substitute it into either of the original equations to solve for x. I picked the second equation because it's simpler, but you could also use the first.

x + 16,000 = 29,000
x = 13,000

So you invested 16,000 at 8% and 13,000 at 6%.

4 0
4 years ago
Find the distance and midpoint between the points (7, 3) and (-2,-5).
pochemuha
  • (7,3)
  • (-2,-5)

Distance:-

\\ \rm\Rrightarrow \sqrt{(7+2)^2+(3+5)^2}

\\ \rm\Rrightarrow \sqrt{9^2+8^2}

\\ \rm\Rrightarrow \sqrt{81+64}]/tex][tex]\\ \rm\Rrightarrow \sqrt{145}

\\ \rm\Rrightarrow 12(approx)

Midpoint

\\ \rm\Rrightarrow \left(\dfrac{7-2}{2},\dfrac{3-5}{2}\right)

\\ \rm\Rrightarrow \left(\dfrac{5}{2},\dfrac{-2}{2}\right)

\\ \rm\Rrightarrow \left(\dfrac{5}{2},-1\right)

#TMB

4 0
2 years ago
Write a division equation that represents the question: how many 3/8s are in 5/4​
Llana [10]

Answer:

3*8 = 24 and 5*4 = 20. Multiply the two denominators: 8*4 = 32.

Step-by-step explanation:

3 0
3 years ago
Sam can make 12 salads in 20 minutes. At that rate, how many salads could Sam make in 45 minutes? Here is another one for more p
sp2606 [1]
27 salads because if you out it in a proportion of 12/20=x/45 x= 27

the second question would be $7.40 because $29.60/4 is $7.40
5 0
3 years ago
There are 1,400 students in a school. A random sample of 50 students contains 7 students with birthdays in March. Based on the d
creativ13 [48]

Answer: 196 students should have birthdays in March

Step-by-step explanation: you do 1400 divided by 50 which is 28. Then you do 28 times 7 which is 196.

Hope this helped have a great day/night!!!

5 0
3 years ago
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