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3 years ago

11

Shawna makes crafts using glass vases and colored sand she can buy a package of 10 vases for 8.00$ shawarma has $40.00 to spend

on vases how may vases can she buy with 40$

1 answer:

myrzilka [38]3 years ago

3 0

Answer:

5 packs of vases.

Step-by-step explanation:

8 divided by 40 = 5. therefore, 5 packs of vases can be bought.

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Choose all the fractions that are equivalent to 1/7

valentinak56 [21]

2/14, 4/28, 5 /35, you must divide 2÷2/14/2 = 1/7

and of this form you must divide all the other fractions

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3 years ago

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Which equation demonstrates the distributive property?

horrorfan [7]

Answer:

B) 36 + 9 = 3(12 + 3)

Step-by-step explanation:

The distributive property of multiplication over addition is:

a(b + c) = ab + ac

This is demonstrated by switching the sides of option B) 36 + 9 = 3(12 + 3)

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Is the relationship shown by the data linear? How can you tell if it is or is not? If so, model the data with an equation.

yuradex [85]

Hello from MrBillDoesMath!

Answer: The relationship is linear. The equation is y = 2x + 19

Discussion:

When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....

So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,

(change in y) / (change in x) = 4/2 = 2 = slope of line.

so y = 2x + b. As the line passes through the point ( -7, 5)

5 = 2 (-7) + b or

5 = -14 + b or ( adding 14 to both sides)

5 + 14 = 19 = b.

Hence the equitation the line is y = 2x + 19

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6 0

2 years ago

Write two different expressions that<br> represent the quantity x decreased<br> by 30%.

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

4x = 44

x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

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2 years ago

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

11 months ago