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Pie
2 days ago
13

A bakery has the following pricing for large orders of cupcakes. The first 100 cupcakes of any order

Mathematics
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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H
babunello [11817]

The amount of gravel and the area it covers are examples of ratios.

A weight of 7 lb can cover 1 square foot, while 315 lb can cover an area of 45 square feet.

The relevant parameters are:

252\ lb= 36ft^2

To find the number of pounds needed for 1 square foot , perform the following calculation:

x = 1ft^2

Thus, we have:

x = 1ft^2

252\ lb= 36ft^2

Cross multiply

x \times 36 = 252 \times 1

And divide both sides by 36

x = 7lb

The area that 315 lb of gravel can cover is calculated as follows:

So, we have:

315lb = y

315lb = y

Cross multiply

252\ lb= 36ft^2

y \times 252 = 36 \times 315

And divide both sides by 252

y \times 252 = 11340

Thus, 7 lb will cover

1 square footy = 45, and 315 lb will encompass an area of

45 square feet.

Read more about ratios at:

6 0
2 months ago
If your grocery bills over the last four weeks were $203, $195, $180 and $238, what was the average bill
zzz [12365]

To solve this problem, simply sum all of the grocery expenses and then divide that total by 4...

3 0
3 months ago
Read 3 more answers
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
lawyer [12517]

To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

 

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

 

The coordinates given are:

(-4, 11) = (x, y)

 

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

 

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

3 0
2 months ago
Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the plane y= 5 with the sphere
Svet_ta [12734]

Answer:

The parametrization of the specified curve is x = 10 cos(t) \ \,z = 10 sin(t)

Step-by-step explanation:

From the provided problem statement, we derive the function

x^2 + y^2 + z^2 = 125

When y = 5

x^2 + 5^2 +z^2 =125

x^2 + z^2 = 100

x^2 + z^2 = 10^2

Converting the above to a polar equation yields

x = 10 cos(t) \ \,z = 10 sin(t)

6 0
2 months ago
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