32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x

Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x

4 0

3 years ago

The area of a trapezoid is 39 square millimeters. The height of the trapezoid is 6 millimeters. One of the base legths of the tr

Andrej [43]

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3 0

3 years ago

4x - 3y = 12 4x - 5y = -4 Solve using Elimination

mr_godi [17]

Answer:

${ \rm{4x - 3y = 12 - - - \{eqn(a) \}}} \\ { \rm{4x - 5y = - 4 - - - \{eqn(b) \}}}$

• subtract eqn(b) from eqn(a);

${ \underline{ \rm{ - \binom{4x - 3y = 12}{4x - 5y = - 4} }}} \\ { \rm{0x + 2y = 16}} \\ \\ { \rm{2y = 16}} \\ \\ { \boxed{ \tt{ \: \: y = 8 \: \: }}} \\$

• find x :

${ \rm{4x - 3y = 12}} \\ { \rm{4x - 3(8) = 12}} \\ { \rm{4x = 36}} \\ \\ { \boxed{ \tt{ \: \: x = 9 \: \: }}}$

8 0

3 years ago

Read 2 more answers

The Rodriguez family went to dinner at Pasta Palace. Mr. Rodriguez ordered a meal for $6.25; Mrs. R ordered a meal for $7.50; th

Romashka-Z-Leto [24]

Given:
Mr. Rodriguez : 6.25
Mrs. R 7.50
2 children @ 4.99 each 9.98
Subtotal: 23.73
Sales tax 7.25% 1.72 *23.73 x 7.25%
Total tip 15% 3.56 *23.73 x 15%
Grand total $29.01

Tips should be applied to pre-tax amount not post-tax. However, some companies compute tip based on post-tax amount. This means that the tip you are paying is computed based on the total amount of the meal as well as the sales tax you paid for the meal.

6 0

3 years ago