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Snezhnost [94]
4 years ago
15

Dianne manufacturers Mexican and American flags. Due to the cost of color,she charges $20 for Mexican flags and $15 for American

flags. She sold twenty-eight flags and accumulated $460. How many flags of each type did she sell?
Mathematics
2 answers:
enyata [817]4 years ago
8 0
I got 11 Mexican and 16 American.

20 x 11 = 220
15 x 16 = 240

Which equals 460
DiKsa [7]4 years ago
5 0

Answer:

She sold 20 american flags and 8 mexican flags.

Step-by-step explanation:

In order to solve this we first have to do an equation, we will represent the american flag with the letter x, the mexican flag with y, so the amount of flags sold will be x+y=28, that would be our first equation, and the second will be 15x+20y=460.

We have both of out equations so now we just clear from x from the first one to get:

x=28-y

and insert that as value of x in the second one:

15x+20y=460

15(28-y)+20y=460

420-15y+20y=460

5y=40

y=8

Since y=8 we know that x= 20

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3 years ago
Suppose that y varies inversely with x. Use the information to find k, and then choose the equation of variation. x = 2 when y =
Sergeeva-Olga [200]

Answer:

y = \frac{22}{x}

Step-by-step explanation:

given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 2 when y = 11

k = yx = 11 × 2 = 22

y = \frac{22}{x} ← equation of variation

4 0
3 years ago
Read 2 more answers
Simplify the expression and identify which property is used in each step.
777dan777 [17]

Answer:

1.2

Step-by-step explanation:

(0.85 + 0.50 + 0.15) - 0.30           Given

Simplify by adding in the parentheses first

(0.85 + 0.50 + 0.15) - 0.30

(1.35 + 0.15) - 0.30

(1.5) - 0.30

Subtraction Property

1.5 - 0.30

1.2

7 0
3 years ago
What is a pendulum?​
dezoksy [38]

Answer:

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting, equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position

EXAMPLES:

the tick in a grandfather clock, a wrecking ball suspended by a chain or link

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long
Pie

Answer:

Surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

S = \frac{1}{2}pl+B                                       ...... (1)

Here, p represents the perimeter of the base , l the slant height and B the base area of the pyramid.

From the given information:

Side of equilateral triangle = 20 inches

Slant height of the pyramid(l) = 13 inches.

First find the perimeter and Area of the base pyramid.

Perimeter of equilateral triangle(p) = 3 \times (side)

                                                          = 3 \times 20 = 60 inches

Area of equilateral triangle(B) = \frac{\sqrt{3} }{4} \times (side)^{2}

                                                 =\frac{\sqrt{3} }{4} \times (20)^2 = 100\sqrt{3}  square inches.

Substitute the above values in equation (1) as shown below:

S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}

S= 390+100\sqrt{3} square inches

Hence, the surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches.

6 0
3 years ago
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