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3 years ago

Need help with math question

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

7 18-inch wreaths

26 22-inch wreaths

Step-by-step explanation:

Let's say the number of 18-inch wreaths is x and the number of 22-inch wreaths is y.

We know that the number of 22-inch wreaths sold was 5 more than 3 times the number of 18-inch wreaths sold. We can write this into the expression as:

y = 5 + 3x

We also know that each 18-inch wreath was $20 and each 22-inch wreath was $25. The total cost was $790, so:

20x + 25y = 790

Now, let's substitute 5 + 3x in for y in the second equation:

20x + 25y = 790

20x + 25(5 + 3x) = 790

20x + 125 + 75x = 790

95x + 125 = 790

95x = 665

x = 7

Plug this value into y = 5 + 3x to find y:

y = 5 + 3x

y = 5 + 3 * 7 = 5 + 21 = 26

So, 7 18-inch wreaths were sold and 26 22-inch wreaths were sold.

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A square pyramid. The square base has side lengths of 6 inches. The 4 triangular sides have a base of 6 inches and height of 9 i

Marrrta [24]

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

$A_{base} = s^{2}$

$A_{base} = (6 in)^{2}$

$A_{base} = 36 in^{2}$

To calculate the area of a lateral face, find the area of a triangle.

$A_{lateral} = \frac{bh}{2}$

$A_{lateral} = \frac{(6 in)(9 in)}{2}$

$A_{lateral} = \frac{54 in^{2}}{2}$

$A_{lateral} = 27 in^{2}$

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

3 0

3 years ago

hello. I hope your day was fine and have some difficulties in the three question I just took a picture of please help me

goblinko [34]

What do you wanna find in these questions?

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2 years ago

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Maslowich

The answer is the third one

6 0

2 years ago

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40 POINTS. When they form conical piles, granular materials such as salt, gravel, and sand settle at different "angles of repose

grandymaker [24]

Answer:

34.0 degrees, 29.6 feet in Diameter.

This is a right triangle trigonometry question.

Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.

Use Inverse Tangent function to find the angle of repose

round to 34.0

then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.

switch denominator and tangent

multiply by 2 to get diameter of second cone

14.82*2≈29.6

hopefully this helps!

7 0

2 years ago

The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths

Lubov Fominskaja [6]

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

$\sqrt[3]{\frac{125}{216} } =\frac{5}{6}$

5 : 6

6 0

2 years ago