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Naddika [18.5K]

3 years ago

6

Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum numbe

r of refills that you can get?

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

You can get max 7 refills

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Ilia_Sergeevich [38]

Problem 1 Answer: $x=10$

<u>Simplify both sides of the equation</u>

<u></u> $(2)(x)+(2)(-3)=14(Distribute)$ <u></u>

<u></u> $2x+-6=14$ <u></u>

<u></u> $2x-6=14$ <u></u>

<u></u>

<u>Add 6 to both sides</u>

$2x-6+6=14+6$

$2x=20$

<u></u>

<u>Divide both sides by 2</u>

<u></u> $2x/2=20/2$ <u></u>

<u></u> $x=10$ <u></u>

----------------------------------------------------------------

Problem 2 Answer: $x=-7$

<u></u>

<u>Simplify both sides of the equation</u>

<u></u> $(-5)(x)+(-5)(-1)=40(Distribute)$ <u></u>

<u></u> $-5x+5=40$ <u></u>

<u></u>

<u>Subtract 5 from both sides</u>

<u></u> $-5x+5-5=40-5$ <u></u>

<u></u> $-5x=35$ <u></u>

<u></u>

<u>Divide both sides by -5</u>

<u></u> $-5x/5=35/-5$ <u></u>

<u></u> $x=-7$ <u></u>

----------------------------------------------------------------

Problem 3 Answer: $x=-8$

<u></u>

<u>Simplify both sides of the equation</u>

<u></u> $(12)(x)+(12)(10)=24(Distribute)$ <u></u>

<u></u> $12x+120=24$ <u></u>

<u></u>

<u>Subtract 120 from both sides</u>

<u></u> $12x+120-120=24-120$ <u></u>

<u></u> $12x=-96$ <u></u>

<u></u>

<u>Divide both sides by 12</u>

<u></u> $12x/12=-96/12$ <u></u>

<u></u> $x=-8$ <u></u>

----------------------------------------------------------------

Problem 4 Answer: $x=-1/2$

<u></u>

<u>Move all terms to the left:</u>

<u></u> $2(x+6)-(11)=0$ <u></u>

<u></u>

<u>Multiply parentheses</u>

<u></u> $2x+12-11=0$ <u></u>

<u></u>

<u>Add all the numbers together, and all the variables</u>

<u></u> $2x+1=0$ <u></u>

<u></u>

<u>Move all terms containing x to the left, all other terms to the right</u>

<u></u> $2x=-1\\x=-1/2$ <u></u>

----------------------------------------------------------------

Problem 5 Answer: $x = 44$

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3 years ago

Read 2 more answers

PLEASE HELP ME SHAWTIES PRESS ON IMAGE

irina1246 [14]

Answer:

Where's the image?

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help me thank you!

Romashka [77]

Answer:

the answer is 1¢26 if not try h5

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2 years ago

Rewrite the equation in vertex form. then find the vertex of the graph. y=-3x^2-5x+1

amm1812

Answer: y = -3(x + $\frac{5}{6}$ )² + $\frac{37}{12}$ , $(-\frac{5}{6}$ , $\frac{37}{12})$

<u>Step-by-step explanation:</u>

First, you need to complete the square:

y = -3x² - 5x + 1

<u> -1 </u> <u> -1 </u>

y - 1 = -3x² - 5x

y - 1 = -3(x² + $\frac{5}{3}x$

y - 1 + -3( $\frac{25}{36}$ ) = -3(x² + $\frac{5}{3}x$ + $\frac{25}{36}$ )

↑ ↓ ↑

$\frac{5}{3*2}$ = $(\frac{5}{3*2})^{2}$

y - 1 - $\frac{25}{12}$ = -3(x + $\frac{5}{6}$ )²

y - $\frac{12}{12}$ - $\frac{25}{12}$ = -3(x + $\frac{5}{6}$ )²

y - $\frac{37}{12}$ = -3(x + $\frac{5}{6}$ )²

y = -3(x + $\frac{5}{6}$ )² + $\frac{37}{12}$

Now, it is in the form of y = a(x - h)² + k <em>where (h, k) is the vertex</em>

Vertex = $(-\frac{5}{6}$ , $\frac{37}{12})$

8 0

3 years ago

Item 1<br> Round 71.58043 to the nearest hundredth

Natalija [7]

Answer:

71.58

Step-by-step explanation:

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3 years ago