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stich3 [128]
2 years ago
5

the ratio of yachts to sloops in the bay was 3 to 7. if there were 54 yachts in the bay, how many sloops were there?

Mathematics
1 answer:
zzz [600]2 years ago
6 0

Answer:

126 sloops

Step-by-step explanation:

ratio: 3 to 7

3/7 = 0.428

54/ x amount of sloops = 0.428

x = 126 sloops

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A boat can travel 412 miles on 103 gallons of gasoline. How much gasoline will it need to go 184 miles?
dlinn [17]

Hey there! I'm happy to help!

Let's set this up as a proportion (2 equal ratios).

\frac{miles}{gallons} =\frac{412}{103} =\frac{184}{g}

If you multiply the diagonal numbers, their products will be equal. (412×g=103×184). This is called cross multiplying. Now we can solve for g.

412g=18952

Divide both sides by 412.

g=46

Therefore, the boat will need 46 gallons of gasoline to go 184 miles.

Have a wonderful day! :D

8 0
4 years ago
What number should be added to the expression x^2+2x to change it into a perfect square trinomial?
sweet [91]
To make x^2 + 2x a perfect square we need to add the term { 2 / (2*1) }^2

which equals 1.

Add 1 to both sides: x^2 + 2x = 8

add 1 to both sides: x^2 + 2x + 1 = 8 + 1 (x + 1)^2 = 9

Take square root on both sides: x + 1 = +/- 3 x = +3 - 1 or x = -3 - 1 x = 2 or x = -4
6 0
3 years ago
Your math Teacher has assigned homework in 9/10 of your last classes. Describe the likelihood of having homework tonight.
Solnce55 [7]

Answer:

It is very likely that you will have homework tonight. Have fun! :)

4 0
3 years ago
A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that inter
MaRussiya [10]

Answer:

The payment is k=\$3216.92.

Interest paid during the 3-year period is I_{T}=\$1651.76

Step-by-step explanation:

Hi

<u>The Payment amount</u>

We are going to use the formula below with VP=\$8000, i=10\% and n=3.

k=\frac{VP}{[\frac{1-(1+i)^{-n}}{i}] } =\frac{8000}{[\frac{1-(1+0.1)^{-3}}{0.1}] }=3216.92

<u>Interest paid during the 3 year</u>

  • <u>First period</u>

I_{1}=VP*i=8000*0.1=800

CS_{1}=k-I_{1}=3216.92-800=2416.92

Balance_{1}=VP-CS_{1}=8000-2416.92=5583.08

  • <u>Second period</u>

I_{2}=B_{1}*i=5583.08*0.1=558.31

CS_{2}=k-I_{2}=3216.92-558.31=2648.61

Balance_{2}=VP-CS_{2}=5583.08-2648.61=2924.47

  • <u>Third period</u>

I_{3}=B_{2}*i=2924.47*0.1=292.45

  • Sum of Interest paid during the 3 years

I_{t}=I_{1}+I_{2}+I_{3}=800+558.31+292.45=1651.76

5 0
3 years ago
PLS HELP ME W/ #8 ASAP
tiny-mole [99]

Answer:

x=2

TU:4(2)-1=7

UB: 3

TB: 10

Step-by-step explanation:

4x-1+2x-1=5x

6x-2=5x

6x=5x+2

subtract 5x from both sides

x=2

TU: (4x-1)

4(2)-1

8-1

7

TU:4(2)-1=7

UB: (2x-1)

2(2)-1

4-1

3

UB: 3

TB: 5(2)

TB: 10

7 0
3 years ago
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