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worty [1.4K]
3 years ago
6

Find the value of y so that the line passing through the points (2,5) and (7,y) has a slope of 2/3

Mathematics
1 answer:
valkas [14]3 years ago
5 0
Well we know Slope Intercept Form is change in y over change in x. So y-5/7-2. So we need a slope of 2/3 we have y-5/5. So know we need to make both fractions equivalent so 2/3=10/15 and y-5/5=y-5/15. Now we know that y-5 has to equal 10 so what subtracted by 5 is 10 yup 15.

Answer: y=15

15-5/15
10/15
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There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe
cluponka [151]

Answer:

The price of CD's = $15

The price of deluxe bundles  = $85

The price of premium bundles. = $ 35 ....

Step-by-step explanation:

Let c represents the number of CD's

Let d represents the number of deluxe bundles

Let p represents the number of premium bundles.

Now according to the given statement:

c = $15

d = c+2p =

d = 15+2p --------equation 1

455c+87p+35d = $12,845 --------equation 2

Now substitute the value of d in equation 2 to find the value of p

455c+87p+35d = $12,845

455(15)+87p+35(15+2p) = $12,845

6825+87p+525+70p=$12,845

Now combine the like terms:

6825+157p+525 = $12,845

Now shift all the like terms to the R.H.S

157p= 12845-6825-525

157p = 5495

Divide both sides by 157

157p/157 = 5495/157

p = 35

Now substitute the value p =35 in equation 1.

d = 15+ 2p

d = 15+2(35)

d = 15+70

d = 85

Therefore we have found that,

The price of CD's = $15

The price of deluxe bundles  = $85

The price of premium bundles. = $ 35 ....

4 0
3 years ago
Jess wants to measure how much water she uses in the shower each morning. She finds
forsale [732]

Answer:

32 gallons of water

Step-by-step explanation:

8 minutes = 480 seconds.

set up a proportion:

1/15=x/480

we have to solve for x:

15x=480

x=32.

Jess uses 32 gallons of water.

6 0
3 years ago
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Ioana has three ropes whose lengths are 39 inches, 52 inches and 65 inches. She wants to cut the ropes into equal length pieces
vagabundo [1.1K]

Answer:

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Step-by-step explanation:

To find the greatest number of inches possible in the length of each piece, we need to find the greatest common divisor of 39, 52 and 65.

So, the divisors of 39 are: 1, 3 and 13

The divisors of 52 are: 1, 2, 4, 13 and 26

The divisors of 65 are: 1, 5 and 13

Therefore, the common divisors are 1 and 13. Finally the greatest common divisor is 13. It means that the greatest number of inches possible in the length of each piece is 13 inches.

6 0
3 years ago
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Diano4ka-milaya [45]
X+y=7 and 16x+25y=148
8 0
3 years ago
Hi 10 +10 here is me question help
xenn [34]

Answer:

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8 0
3 years ago
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