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Cloud [144]
3 years ago
10

4.9(8.3c+1.5)+1.9chow to simplify combining like terms

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Expand

40.67c + 7.35 + 1.9c

Collect like terms

(40.67c + 1.9c) + 7.35

Simplify

<u>42.57c + 7.35</u>

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A pound of grapes costs $2.49. Lucas bought two pounds of grapes. He gave the clerk a $10.00 bill. How much change did Lucas get
GaryK [48]

Answer:

$5.02

Step-by-step explanation:

$2.49 × 2 = $4.98

$10 - $4.98 = $5.02

7 0
2 years ago
The product of 120 and b is equal to 312<br> Write the sentence as an equation.
Mrrafil [7]

Answer:

120 · b = 312 or 120b = 312

Step-by-step explanation:

3 0
3 years ago
The John Jay Theater Dept has tickets at $6 for adults, $4 for teachers, and $2 for students. A total of 280 tickets were sold f
OleMash [197]

Answer:

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

Step-by-step explanation:

Cost of tickets

Adults = $6

Teachers = $4

Students = $2

Total tickets sold = 280

Total revenue = $1010

Let

x = number of adults tickets

y = number of teachers tickets

z = number of students tickets

x + y + z = 280

6x + 4y + 2z = 1010

If the number of adult tickets sold was twice the number of teacher tickets

x = 2y

Substitute x=2y into the equations

x + y + z = 280

6x + 4y + 2z = 1010

2y + y + z = 280

6(2y) + 4y + 2z = 1010

3y + z = 280

12y + 4y + 2z = 1010

3y + z = 280 (1)

16y + 2z = 1010 (2)

Multiply (1) by 2

6y + 2z = 560 (3)

16y + 2z = 1010

Subtract (3) from (2)

16y - 6y = 1010 - 560

10y = 450

Divide both sides by 10

y = 450/10

= 45

y = 45

Substitute y=45 into (1)

3y + z = 280

3(45) + z = 280

135 + z = 280

z = 280 - 135

= 145

z = 145

Substitute the values of y and z into

x + y + z = 280

x + 45 + 145 = 280

x + 190 = 280

x = 280 - 190

= 90

x = 90

Therefore,

number of adults tickets sold = x = 90

number of teachers tickets = y = 45

number of students tickets = z = 145

5 0
3 years ago
What is the rate of change
Serggg [28]

Answer:

Slope = 0

Step-by-step explanation:

Let's use the equation \frac{y2 - y1}{x2 - x1} for this problem.

We have two points: (2,0) and (-2, 0)

Let's plug them both into the equation shown above.

\frac{0 - 0}{-2 - 2}

Solve.

0 - 0 = 0

-2 - 2 = -4

\frac{0}{-4} = -\frac{0}{4} = 0

A zero in the numerator means this equation has a slope of 0.

Any line with a slope of 0 is a horizontal line.

Slope (rate of change) = 0

6 0
3 years ago
1.9n−14=5n+58
elena-s [515]
1. n=18
2. n=18
3. x=4
4. a= -12
5. x=3
8 0
3 years ago
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