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Triss [41]
3 years ago
14

Martin has 5/6 of a pizza Liam has four times as much pizza is Martin how much pizza does Liam have? (Put it in a fraction)

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

The pizza of martin is \dfrac{4}{5}

Step-by-step explanation:

Given that,

Martin has \dfrac{5}{6} of pizza.

Liam has four time much pizza.

Let us consider pizza is x.

We need to calculate the how much pizza of martin

Using given data

Pizza of Martin =x\times\dfrac{5}{6}

Pizza of Liam = 4\times(\dfrac{5}{6}x)

The pizza of martin will be

Pizza\ of\ martin=\dfrac{\dfrac{20}{6}x}{\dfrac{20}{6}x+\dfrac{5}{6}x}

Pizza\ of\ martin =\dfrac{4}{5}

Hence, The pizza of martin is \dfrac{4}{5}

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A 10-ounce box of cereal cost $3. A 20-ounce box of the same cereal cost $5. A third box of the same cereal costs $8.
kvasek [131]

The number of ounces of cereal in the third box is 32.

<u>Explanation:</u>

Given-

10 oy box = $3

Price of 1 ounce box = $3/10

                                  = $0.3

20 oy box = $5

Price of 1 oy box = $5/20

                            = $0.25

Therefore, it is beneficial to buy a 20 oy box as it is comparatively cheaper than the 10 oy box.

Third box of cereal = $8

$5 is the price of 20 oy box

$8 will be the price of x oy box

So,

x = \frac{20}{5} X 8\\ \\x = 32

Therefore, the number of ounces of cereal in the third box is 32.

3 0
3 years ago
A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
  • The company has 3000 keys
  • The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

   as laptop keyboards

∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Just need some help with math
V125BC [204]
Each pie/circle has 10 sections. there is 3 whole sections so you would do 10x3 is equal to 30.

then, there’s a fourth pie that has one unshaded section. so, that would be only 9. add the 30 and 9 and you would get 39.

so, for the one fraction, you would get 39/10.

for the mixed number, you get 3 9/10 because 10 goes into 39 3 times and then you have 9 left over.
4 0
2 years ago
It takes 4 hours to go fly to Atlanta, a city that is about 200 miles. How many miles have I flown in in 2.5 miles
Irina-Kira [14]

Answer:

x = 125

Step-by-step explanation:

4 hrs : 200 mi

2.5 hrs : x mi

4/2.5 = 1.6 hrs

200/1.6 = 125 mi

x = 125 mi

5 0
3 years ago
Explain how to get the variable alone in the equation. a ÷ 11 =5​
denpristay [2]

Answer:

Multiply both sides by 11 to isolate the variable.

Step-by-step explanation:

a = 55

7 0
2 years ago
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