1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Luba_88 [7]
3 years ago
13

3. At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same am

ount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Beast Boy's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) What was the individual cost of each person's items? State the solution in complete sentences.
Mathematics
1 answer:
lara [203]3 years ago
6 0

Answer:

  • See below

Step-by-step explanation:

(a)

<u>Beast Boy spent:</u>

  • 5x

<u>Cyborg spent:</u>

  • 8(x - 1.5)

<u>They spent same amount:</u>

  • 5x = 8(x - 1.5)

(b)

  • 5x = 8x - 12
  • 8x - 5x = 12
  • 3x = 12
  • x = 4

(c)

  • 5*4 = 8(4 - 1.5)
  • 20 = 8*2.5
  • 20 = 20

(d)

  • Beast Boy bought 5 items that each cost $4
  • Cyborg bought 8 items that each cost $2.5

You might be interested in
A local tree farm is donating 50 trees. The students will plant some of the trees at the school and the rest at the library.
Alex17521 [72]

Answer:

6

Step-by-step explanation:

First you know they have <em>50 </em>trees. Then, you know <em>3</em> of <u>25</u> will die.

<u>25</u>*<u>2</u>=<em>50</em>. <em>3</em>*<u>2</u>=6.

8 0
2 years ago
Please Help. 25 points. <br>​
vodomira [7]

Answer:

\boxed{x = 7, y = 9, z = 68}

Step-by-step explanation:

We must develop three equations in three unknowns.

I will use these three:

\begin{array}{lrcll}(1) & 8x + 13y +7 & = & 180 & \\(2)& 9x - 7 + 13y +7 & = & 180 & \\(3)& 8x + 5y - 11 + z & = & 180 &\text{We can rearrange these to get:}\\(4)& 8x + 13y & = & 173 &\\(5) & 9x + 13y & = & 180 & \\(6)& 8x + 5y + z & = & 169 & \\(7)& x & = & \mathbf{7} & \text{Subtracted (4) from (5)} \\\end{array}

\begin{array}{lrcll}& 8(7) + 13y & = & 173 & \text{Substituted (7) into (4)} \\& 56 + 13y & = & 173 & \text{Simplified} \\& 13y & = & 117 & \text{Subtracted 56 from each side} \\(8)& y & =& \mathbf{9}&\text{Divided each side by 13}\\& 8(7) + 5(9) + z & = & 169 & \text{Substituted (8) and (7) into (6)} \\& 56 + 45 + z& = & 169 & \text{Simplified} \\& 101 + z& = & 169 & \text{Simplified} \\&z& = & \mathbf{68} & \text{Subtracted 101 from each side}\\\end{array}

\boxed{\mathbf{ x = 7, y = 9, z = 68}}

4 0
3 years ago
AT&amp;T:$0.08 per minute,$5 monthly fee VOIP:(cable phone):free calls,$35 monthly fee Cell:$40 for first 400 minutes,$0.25 per
Luden [163]
Make 2 graphs and with the second graph graph the cell fee and with the first Do the minutes

4 0
3 years ago
What is the solution to (4/2)4 + (1 + 3)?
julsineya [31]
I think it may be 12
4 0
3 years ago
Which of the following measures is equivalent to 3,300 grams?
max2010maxim [7]

Answer:

C. 3.3 kg.

Step-by-step explanation:

There are 1000 grams in a kilogram.

So 3,000 g = 3300/1000

= 3.3 kg.

8 0
2 years ago
Other questions:
  • A membership at a yoga studio costs 35 per month. Write an equation for the cost of the membership, c, that you pay if you keep
    12·1 answer
  • Can someone please help me with 9 and 10!!! Thank you so much!!!
    7·1 answer
  • Write the equation of the line given two points (5, 6) (4, 8). Write the answer in point-slope form.
    13·1 answer
  • Which best describes a scalene triangle?
    15·2 answers
  • One side of a triangle is half the longest side. The third side is
    13·1 answer
  • Sales for a company were 3 million dollars more the second year than the first, and sales for the third year were doubled the sa
    7·1 answer
  • Drew has two cats. One cat weighs 17 pounds, and the other one weighs 12 1/2 pounds. Audrey’s dog weighs 33 pounds. What is the
    11·1 answer
  • Please help! Correct answer only!
    11·1 answer
  • Is it possible to scan a screenshot?
    11·2 answers
  • What is the linear equation of the horizontal line that passes through the point (–3, 4)?show your work
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!