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Pani-rosa [81]
2 years ago
5

3. Part way through his party, Patrick found that there was 5 2/3 pizzas left. If his friends eat 3/4 of the pizzas, how much of

the 5 will they eat? Write and solve an equation that will help you figure out how much of the remaining pizzas will be eaten. Explain the steps you took to solve the problem.​
Mathematics
1 answer:
NARA [144]2 years ago
8 0

Answer:

4 1/4

Step-by-step explanation:

Convert 5 2/3 to an improper fraction. 3 x 5 = 15 + 2=17

17/3 x 3/4 = 51/12= 4 1/4 of the remaining pizza will be eaten

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The following is a recipe for Gazpacho, a cold vegetable soup. Write how much of each item in the
denis23 [38]

9514 1404 393

Answer:

  replace recipe quantities:

  1/4 ⇒ 5/8; 1/2 ⇒ 1 1/4; 1 ⇒ 2 1/2; 1 1/2 ⇒ 3 3/4; 2 ⇒ 5

Step-by-step explanation:

The given recipe serves 4, so must be multiplied by 10/4 = 5/2 to make it make 10 servings.

The numbers in the recipe (ignoring units or ingredients) are ...

  1/4, 1/2, 1, 1 1/2, 2

Each of these numbers needs to be multiplied by 5/2 to get the number for the larger recipe.

  1/4 × 5/2 = 5/8

  1/2 × 5/2 = 5/4 = 1 1/4

  1 × 5/2 = 5/2 = 2 1/2

  (1 1/2) × 5/2 = 3/2 × 5/2 = 15/4 = 3 3/4

  2 × 5/2 = 5

Then, to make the larger recipe, rewrite it with the quantities replaced as follows:

  old value ⇒ new value

  1/4 ⇒ 5/8

  1/2 ⇒ 1 1/4

  1 ⇒ 2 1/2

  1 1/2 ⇒ 3 3/4

  2 ⇒ 5

__

For example, 1 1/2 lbs of fresh tomatoes ⇒ 3 3/4 lbs of fresh tomatoes

_____

<em>Additional comment</em>

If you actually want to create the recipe, you may find it convenient to use a spreadsheet to list quantities, units, and ingredient names. Then you can add a column for the quantities for a different number of servings, and let the spreadsheet figure the new amounts. (A spreadsheet will compute quantities in decimal, so you will need to be familiar with the conversions to fractions--or use metric quantities.)

8 0
2 years ago
Simplfy the expression 3x+4(x-6)-3(x-7)
Nikitich [7]

Answer:

the answer is 4x-3

Step-by-step explanation:

4 0
3 years ago
A university administrator was interested in determining if there was a difference in the distance students travel to get from c
eduard

Answer:

1) Fail to reject the Null hypothesis

2) We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0

The results of his tests are:

t-value = -1.05

p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

  • If p-value is equal to or less than the significance level, then we reject the null hypothesis
  • If p-value is greater than the significance level, we fail to reject the null hypothesis.

No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

Conclusion:

We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

7 0
3 years ago
How many square feet of outdoor carpet will we need for this hole?
Gwar [14]

Answer: 66 sq ft

Step-by-step explanation:

Break up the shape into three separate shapes

8 * 3 = 24 for the rectangle

There are 2 triangles

The formula for the area of a triangle is 1/2(b)(h)

1 of the triangles has a base of 4 and height of 12

1/2(4)(12) = 24

The other triangle has a base of 3 and height of 12

1/2(3)(12) = 18

24 + 24+ 18 = 66

5 0
2 years ago
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibioti
julsineya [31]

Answer:

see below

Step-by-step explanation:

Dosage= 500 mg

Frequency= twice a day (every 12 hours)

Duration= 10 days

Number of dosage= 10*2= 20

residual drug amount after each dosage= 4.5%

We can build an equation to calculate residual drug amount:

d= 500*(4.5/100)*t= 22.5t, where d- is residual drug, t is number of dosage

After first dose residual drug amount is:

  • d= 500*0.045= 22.5 mg

After second dose:

  • d= 22.5*2= 45 mg

As per the equation, the higher the t, the greater the residual drug amount in the body.

Maximum residual drug will be in the body:

  • d= 20*22.5= 450 mg at the end of 10 days

Maximum drug will be in the body right after the last dose, when the amount will be:

  • 500+19*22.5= 927.5 mg
5 0
2 years ago
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