1.) Since we are looking for the variable d, your equation is:
[tex]39.95 + 0.99d = 55.79[/tex]
Subtract 39.95 from both sides, which results in:
0.99d = 55.79 - 39.95
0.99d = 15.84
d = [tex]\frac{15.84}{99}[/tex]
d = 16
2.) Population of 2003: 12.6 * 10⁶ = 4p
Population of 1950: 10⁶p = p
If the population of 1950 = [tex]\frac{1}{4} * 12.6[/tex] * 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 = [tex]\frac{170}{17}[/tex], 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:
[tex]\frac{1003}{7}[/tex] - 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
[tex]\frac{80}{16}[/tex] = n
Population of New Mexico is 5.
7.) 3m - 26 = c
3m - 26 = 217
Isolate the variable:
3m = 217 + 26
3m = 243
[tex]\frac{243}{3}[/tex] = m, so Missouri's population is 81.
Hope this was helpful. Good luck.
