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3 years ago

6

Montel spends $0.75 every time he plays his favorite video game. If you have $10, write and resolve an inequality to calculate h

ow many video games you can play

1 answer:

Bumek [7]3 years ago

3 0

Answer:13.333333 repeating

Step-by-step explanation:money divided by how much the games cost

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4a/3-b/4=6<br> 5a/6+b=13<br> Solve linear system by elimination

kondor19780726 [428]

$\bf \cfrac{4a}{3}-\cfrac{b}{4}=6
\qquad \qquad 
\cfrac{5a}{6}+b=13
\\\\\\
\textit{let us remove the denominators off those folks}\\
\textit{by multiplying the first one by 12, both sides}\\
\textit{and the second one by 6, both sides, thus}
\\\\\\
12\left( \cfrac{4a}{3}-\cfrac{b}{4} \right)=12(6)\implies 16a-4b=72
\\\\\\
6\left( \cfrac{5a}{6}+b \right)=6(13)\implies 5a+6b=78$

$\bf \textit{now, let's do the elimination}
\\\\

\begin{array}{llll}
16a-4b=72&\boxed{\times 3}\implies &48a-\underline{12b}=216\\\\
5a+6b=78&\boxed{\times 2}\implies &10a+\underline{12b}=156\\
&&--------\\
&&58a+0\quad=372
\end{array}$

solve for "a", once you get "a", plug it back into either equation to get "b"

3 0

3 years ago

a rhombus as an area of 72 ft and the product of the diagonals is 144. What is the length of each diagonal?

SashulF [63]

A = (1/2)(x)(y)

Let x = diagonal 1

Let y = diagonal 2

The product of xy = 144.

This means that x = 12 and y = 12.

So, 12 • 12 = 144

Each diagonal is 12 feet.

Prove:

72 feet = (1/2)(12)(12) feet

72 feet = (1/2)(144) feet

72 feet = 72 feet

6 0

3 years ago

The area of a rectangle is 1,036 cm and its length is 74 cm.

Nikitich [7]

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

Area of a rectangle = $1036$ cm²

Length = $74$ cm

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

$1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }$

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

$Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}$

$\rule{150pt}{2pt}$

8 0

2 years ago

Need to find A, B, and C!

gtnhenbr [62]

Answer:

Mean: 4.44 add up every number and divide it by how many there is.

Median: 3 put from least to greatest and count till the middle.

Mode: 3 because it appears the most

7 0

3 years ago

Read 2 more answers

Please Help Me ASAP!!!!!

docker41 [41]

Answer:

19t + 100

Step-by-step explanation:

19 per hour so multiplication

extra 100 so add that

4 0

3 years ago