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2 years ago

14

17.

1 answer:

IrinaVladis [17]2 years ago

4 0

Answer:

$32 + $0.25x < $50

Step-by-step explanation:

1.he buy a backpack for $32

2. he buys x amount of pencils. Each pencil cost 0.25. ($0.25x)

3. all of that is less than(<) $50

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In order to solve the following system of equations by addition, which of the

Pavlova-9 [17]

Answer:

Multiply the top equation by -3 and the bottom equation by 2

Step-by-step explanation:

Given <u>system of equations</u>:

$\begin{cases}4x-2y=7\\3x-3y=15 \end{cases}$

To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>. To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.

<u>To eliminate the </u><u>variable y</u>:

Multiply the top equation by -3 to make the coefficient of the y variable 6:

$\implies -3(4x-2y=7) \implies -12x+6y=-21$

Multiply the bottom equation by 2 to make the coefficient of the y variable -6:

$\implies 2(3x-3y=15) \implies 6x-6y=30$

Add the two equations together to <u>eliminate y</u>:

$\begin{array}{l r r}& -12x+6y= &-21\\+ & 6x-6y= & 30\\\cline{1-3}& -6x\phantom{))))))} = & 9\end{array}$

<u>Solve</u> for x:

$\implies -6x=9$

$\implies x=-\dfrac{9}{6}=-\dfrac{3}{2}$

<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:

$\implies 3\left(-\dfrac{3}{2}\right)-3y=15$

$\implies -\dfrac{9}{2}-3y=15$

$\implies -3y=\dfrac{39}{2}$

$\implies y=-\dfrac{39}{2 \cdot 3}$

$\implies y=-\dfrac{13}{2}$

Learn more about systems of equations here:

brainly.com/question/27868564

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1 year ago

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What are the two formulas to find the volume of a rectangle prism

OlgaM077 [116]

Answer:

Volume= Base x Height or Length x Width x Height

Step-by-step explanation:

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2 years ago

Solve each inequality and graph the solution <br><br> 5+ x <12

Ber [7]

Answer:

Inequality Form:

x<7

Interval Notation:

(−∞,7)

Step-by-step explanation:

plz give brainlyest

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2 years ago

Is the number a rational number? Help me out please!

krek1111 [17]

Answer:

first answer

Step-by-step explanation:

Hi, this is correct because repeating decimals are rational numbers.

Rational numbers can be written by a fraction of integers.

If there is a pattern, it means that this is the division of two integers.

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2 years ago

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Can someone pls help anyone?

IrinaVladis [17]

Answer:

40 units

Step-by-step explanation:

A=hbb

2=8·10

2=40

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2 years ago

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