Question

This is worth 30 points pls help

Answer 1

1): ====> 39.95 + 0.99d = 55.79

0.99 = 55.79 - 39.95

= 15.84

= 15.84 / 0.99

16

Answer ======> 16 DVD's

2): 2003 = 4(1950) + 1

=====> 12.6 = 4p + 1

Flip equation:

4p + 1 = 12.6

Subtract 1 from both sides:

4p + 1 - 1 = 12.6 - 1

4p = 11.6

Divide both sides by 4:

4p / 4 = 11.6 / 4

p = 2.9

Answer =====> 2.9 million

3): Maggie = x

Brother = 2x - 3

x + 2x - 3 = 24

3x - 3 = 24

3x = 27

Answer x =======> Maggie is 9 years old; Brother is 15 years old.

4): 180 + 17m = 350

Simplify both sides:

17m + 180 = 350

Subtract 180 from both sides:

17m + 180 - 180 = 350 - 180

17m = 170

Divide both sides by 17:

17m / 17 = 170 / 17

m = 10

Answer M ========> 10 weeks

5): 1 / 17 * z - 17 = 42

Add 17 to both sides:

1 / 17z - 17 + 17 = 42 + 17

1 / 17z = 59

Multiply both sides by 17:

17 * ( 1 / 17z ) = ( 17 ) * ( 59 )

z = 1003

Answer ========> 1003 Letter Choice, ( D )

6): 16 ( NM ) + 1 = 80

16 ( NM) = 79

NM =====> 79 / 16

NM ======> 4.9375

Answer =======> Letter F =======> 5

7): 3 ( M ) - 26 = 217

3 ( M ) = 217 + 26

3 (M ) = 243

243 / 3

81

Answer =======> Letter Choice ( B ), =====> 81

Hope that helps!!!! : )

Answer 2

1.) Since we are looking for the variable d, your equation is:

`39.95 + 0.99d = 55.79`

Subtract 39.95 from both sides, which results in:

0.99d = 55.79 - 39.95

0.99d = 15.84

d =
`(15.84)/(99)`

d = 16

2.) Population of 2003: 12.6 * 10⁶ = 4p

Population of 1950: 10⁶p = p

If the population of 1950 =
`(1)/(4) * 12.6` * 10⁶

This means that p = 3.15 million.

3.) Given:

Maggie

m = m

Brother:

B = 2m - 3

b + m = 24

2m - 3 + m = 24, which can be rewritten as 2m + m - 3 = 24.

Add the coefficients and add three to both sides:

3m = 27, so m = 9.

Plug in the values:

Maggie: "I'm nine years old!"

Maggie's brother: "I'm three years younger than 9*2! That means I'm fifteen!"

The sum of 15 and 9 is 24.

4.) Given:

The total is 350, which means that x + y = 350

She already has 180, so 180 + y = 350

Y increases by a value of 17 each week, so 180 + 17w = 350

Isolate the variable by subtracting 180 from both sides:

17w = 350 - 180 = 170

w =
`(170)/(17)`, so w is ten more weeks.

Check your work: 180 + 17(10) = 350

180 +170 = 350

5.) Given:

r/17 - 17 = c

r/17 - 17 = 42

Isolate the variable:

r/17 = 42 + 17 = 59

r/17 = 59, so multiply both sides by 17 and r will equal to 1003. Plug in the value:

`(1003)/(7)` - 17

59 - 17 = a population of 42

6.) 1(16n) = t

Multiplying something by one changes nothing, so the one cancels out in this equation.

16n = 80

`(80)/(16)` = n

Population of New Mexico is 5.

7.) 3m - 26 = c

3m - 26 = 217

Isolate the variable:

3m = 217 + 26

3m = 243

`(243)/(3)` = m, so Missouri's population is 81.

Hope this was helpful. Good luck.