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UNO [17]
3 years ago
15

Write 2x+y=5 in slope intercept form

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0


subtract 2x from each side so youre left with y =  5 -2x

rearrange the left side so it looks like -2x + 5

combine them y = -2x + 5

mylen [45]3 years ago
6 0
2x+y=5
To put this in slope intercept form, you simply have to get y by itself on the left side of the equation.
2x+y=5
2x+y-2x=5-2x
y=-2x+5
Now, I had to switch the right side around like that, because slope intercept form is y=mx+b
Because you're subtracting 2x from 5, it becomes 5 added to -2x when it's put in the correct form.
y=-2x+5
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How much water must be evaporated from 130 gallons of a 9% acid solution to make a 12% acid solution?
Bad White [126]

Answer: 33 gallons

Step-by-step explanation:

We initially have 130 gallons of a 9\% acid solution and we need to change it to a 12\% acid solution, and for that it is necessary to evaporate n gallons of water.

So, this situation can be mathemtically expressed as follows:

(130)(9\%)=(130-n)(12\%)

Then:

(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})

Isolating n:

11.7=15.6-0.12 n

n=32.5 \approx 33

Hence, we need to evaporate 33 gallons of water.

6 0
4 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
MArishka [77]

Answer:

Number of pineapples= 10

number of pears = 19

number of kiwis = 10 -2 = 8

Step-by-step explanation:

Cost of a pear = $ 0.50

Cost of a pineapple = $ 1.5

cost of a kiwi = $ 0.3

Let the pineapples = p

Number of pears = 9 + p

Number of kiwis = p - 2

The cost is

0.15 p + 0.5 (9 + p) + 0.3 (p - 2) = 13.50

0.15 p + 4.5 + 0.5p + 0.3 p - 0.6 = 13.50

0.95 p = 9.6

p = 10

 

8 0
3 years ago
Read 2 more answers
given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration
Vedmedyk [2.9K]

Answer:

\tan(A) = \frac{3}{5}

Step-by-step explanation:

Given

\sin(A) = \frac{3}{\sqrt {34}}

0 \le A \le 90 --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

\tan(A) = \frac{Opposite}{Hypotenuse}

and

\sin(A) = \frac{3}{\sqrt {34}}

By comparison:

Opposite = 3

Hypotenuse = \sqrt{34

So, the Adjacent is:

Hypotenuse^2 = Adjacent^2 + Opposite^2

(\sqrt{34})^2 = Adjacent^2 + 3^2

34 = Adjacent^2 + 9

Collect like terms

Adjacent^2 =34 - 9

Adjacent^2 =25

Take square roots

Adjacent =\sqrt{25

Adjacent =5

The tangent of an angle is:

\tan(A) = \frac{Opposite}{Adjacent}

This gives:

\tan(A) = \frac{3}{5}

8 0
3 years ago
Painter A charges $70 to start a job and $80 per hour he/she is there. Painter B charges $100 per hour. Write an inequality that
Debora [2.8K]

Let the number of hours be x.

70 + 80x < 100x

20x > 70

x > 3.5

8 0
3 years ago
What is the dividend yield on Stock A that sells at
stira [4]

Answer:

  5.3%

Step-by-step explanation:

The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:

  yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%

The dividend yield is 5.3%.

6 0
3 years ago
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