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3 years ago

Simplify the expression. (−0.75x + 8) + (1.5x + 4.4) The simplified expression is

Mathematics

1 answer:

Len [333]3 years ago

4 0

Simplify

-0.75x + 8 + 1.5x + 4.4

Collect like terms

(-0.75x + 1.5x) + (8 + 4.4)

Simplify

0.75x + 12.4

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Solve |y - 2|<10 {y|-8 < y < 12} {y|-12 < y < 8} {y|-8 < y < 8}

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The answer is -8 < y < 12

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3 years ago

Yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann

Sati [7]

Y = T+3 (i)
T = H+2 (ii)
Y = 2*H (iiii)

T = H+2 therefore H = T-2

Substitute H=T-2 into (iii)
Y=2*H
Y=2*(T-2)
Y=2T-4

Now substitute that Y into (i)
(i) says Y = T+3
2T-4=T+3
2T-T-4=3
T-4=3
T=3+4
T=7

Then from (i) Y=T+3 = 7+3 =10
Y=10

And from (iii) Y=2*H
If Y = 10, then H = 5

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2 years ago

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A square has the side measurement of s=6^3/2 , Use the formula A = s^2 , find the area of the square

irakobra [83]

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3 years ago

Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining

amm1812

Answer: $y=20-1.25x$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

You need to analize the information given in the exercise.

You know that gift card had a total of $20. Then, since she started to buy the songs with $20, you can identify that:

$b=20$

Since Renata purchased 16 songs and the gift card had a remaining balance of $0 after this, you can find the cost of each song. This is:

$\frac{20}{16}=\$1.25$

Therefore, she spent $1.25 per song. This means that the slope is:

$m=-1.25$

Then, you get that the equation that represents the relationship between "y" (the remaining balance on Renata's gift card) and "x" (the number of songs purchased) is:

$y=20-1.25x$

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3 years ago