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3 years ago

In the bakery 4 cupcakes in one box. If 6 cups

Mathematics

1 answer:

rusak2 [61]3 years ago

6 0

Answer:

There were 240 cupcakes in the bakery

Step-by-step explanation:

Assume that the number of boxes used is x

∵ If 6 cups were placed in the box, there would be 20 boxes left

∴ The number of cups in each box = 6

∴ The number of boxes used = (x - 20)

→ Multiply the number of cups in each box by the number of boxes

used to find the total number of cups

∵ The number of cups = 6(x - 20)

∴ The number of cups = 6x - 120 ⇒ (1)

∵ If 3 cupcakes were placed in each box, it would run out of 20 boxes

∴ The number of cups in each box = 3

∴ The number of boxes used = (x + 20)

→ Multiply the number of cups in each box by the number of boxes

used to find the total number of cups

∵ The number of cups3(x + 20)

∴ The number of cups = 3x + 60 ⇒ (2)

∵ The number of cups is the same in the two cases

→ Equate the right sides of (1) and (2)

∴ 6x - 120 = 3x + 60

→ Add 120 to both sides

∴ 6x = 3x + 180

→ Subtract 3x from both sides

∴ 3x = 180

→ Divide both sides by 3 to find x

∴ x = 60

∴ The number of boxes used is 60

∵ In the bakery 4 cupcakes in one box

∵ The number of boxes is 60

∴ The number of cupcakes = 4 × 60

∴ The number of cupcakes = 240

∴ There were 240 cupcakes

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4 years ago

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A student sees a newspaper ad for an apartment that has 1330 square feet (ft2 ) of floor space. how many square meters of area a

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We know 1 meter = 3.28084 feet

So 1 square meter = 3.28084 × 3.28084 square feet.

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So to convert to square meters we divide by 3.28084 × 3.28084

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3 years ago

Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder ( $110 ft$ ), the opposite leg is the height the ladder will reach $h$ , and the adjacent leg is the distance between the base of the ladder and the building ( $28 ft$ ); we have two options:

1) Using trigonometric functions, since we are given the angle $\theta=75\°$

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

$(hypotenuse)^{2}=(opposite-leg)^{2}+(adjacent-leg)^{2}$

$(110 ft)^{2}=(h)^{2}+(28 ft)^{2}$

Isolating $h$ :

$h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}$

$h=106.37 ft$

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$h=106.37 ft+8 ft=114.37 ft$ This is the height the ladder will reach

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Step-by-step explanation:

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