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2 years ago

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Party supplies inc. sells metallic balloons for $2 each and helium balloons for $3.50 per bunch. Yesterday, they sold 36 more me

tallic balloons than the number of bunches of helium balloons. The total sales for both types of balloons were $281. Let b represent the number of metallic balloons. Solve for b
Please do it quickly

1 answer:

RUDIKE [14]2 years ago

5 0

Answer:

Step-by-step expThe answer would be 18 because 36÷2 is 18.

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Which of the following best describes the solution to the system of equations below?

OverLord2011 [107]

Answer: OPTION A

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where m is the slope and b the y-intercept.

Solve for y from each equation:

$\left \{ {{5y=-4x+7} \atop {10y=-8x+14}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-8}{10}x+\frac{14}{10}}} \right.\\\\\left \{ {{y=\frac{-4}{5}x+\frac{7}{5}} \atop {y=\frac{-4}{5}x+\frac{7}{5}}} \right.$

As you can see the slope and the y-intercept of each equation are equal, this means that both are the exact same line. Therefore, you can conclude that the system has infinitely many solutions.

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2 years ago

Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$

8 0

2 years ago

Evaluate x-(-y)x−(−y)x, minus, left parenthesis, minus, y, right parenthesis where x = -2.31x=−2.31x, equals, minus, 2, point, 3

Angelina_Jolie [31]

Step-by-step explanation:

$x-(-y)=x+y\\\\\text{substitute}\ x=-2.31,\ y=5.9:\\\\-2.31+5.9=5.9+(-2.31)=5.9-2.31=5.90-2.31=3.59$

8 0

3 years ago

5) Last week a Pizza Hut sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. Based on these data, which number is

Goshia [24]

Answer:

$P(Cheese) = 0.30$

Step-by-step explanation:

Given

$Cheese = 36$

$Pepperoni = 64$

$Veggie = 20$

Required

$P(Cheese)$

This is calculated as:

$P(Cheese) = \frac{Cheese}{Total}$

$P(Cheese) = \frac{36}{36+64+20}$

$P(Cheese) = \frac{36}{120}\\$

$P(Cheese) = 0.30$

7 0

2 years ago

Pls help the question is here (12points) DUE TO DAY

scZoUnD [109]

Answer:

$\bf Area= 90\;in$

Step-by-step explanation:

<u>Area of ABCD = L * W</u>

$\bf 6\times 12$

$\bf 72 \;in^2$

<u>Area of EFGC:- L * W</u>

$\bf 6 \times 3$

$\bf 18\; in^2$

<u>Now, the area of the combind rectangles:-</u>

ABCD + EFGC

$\bf 72+18$

$\boxed{\bf 90\; in}$

5 0

1 year ago