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2 years ago

7

Layla is making pizza for a pizza party each pizza requires 1/8 pound of cheese how many pounds of cheese does she need to make

10 pizzas express your answer in simplest form

1 answer:

user100 [1]2 years ago

6 0

10/80 pounds of cheese

1/8×10=10/80

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If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c

Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children <-- We want to find this

a + c = 541 Equation for number of people

2.25a + 1.75c = 1041.25 Equation for money

<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

a = 541 - c

<u>Substitute</u> "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25

2.25(541 - c) + 1.75c = 1041.25 Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25 Collect like terms

1217.25 - 0.5c = 1041.25 Simplified equation

<u>Start isolating "c".</u> Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25 Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25 Subtract 1217.25 on both sides

-0.5c = -176 Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5 Divide both sides by -0.5

c = 352 Number of children

Therefore, there were 352 children in the pool.

5 0

3 years ago

PLS HELP ASAP I NEED THIS

crimeas [40]

Answer:

D

Step-by-step explanation:

Firstly let's see definition of Rational numbers ,

<u>Rational</u><u> numbers</u><u> </u><u>:</u><u>-</u><u> </u>

The number in the form of p/ q where p and q are integers and q is not equal to zero is called a Rational number .

From the options , look at option D ,its

→ √400

→ √{20²}

→ 20

<h3>Hence option D is correct.</h3>

6 0

2 years ago

Find the equation of a line parallel to the line y=-1/3x-1 and passing through the point (3,-3)

victus00 [196]

-3 = -1/3(3) +b

b=-2

y=-1/3x -2

3 0

3 years ago

An assembly consists of two mechanical components. Suppose that the probabilities that the first and second components meet spec

harkovskaia [24]

Answer:

P(X = 0) = 0.0208, P(X = 1) = 0.2484, P(X = 2) = 0.7308

Step-by-step explanation:

Let's define the following events

A: the first component meet specification

B: the second component meet specification

P(A) = 0.87

P(B) = 0.84

Let X be the random variable that represents the number of components in the assembly that meet specifications. Because there are only two mechanical components in the assembly, X can only take the values 0, 1, 2.

P(X = 0) = P(the first component does not meet specification and the second component does not meet specification) =

$P(A^{c}\cap B^{c}) = P(A^{c})P(B^{c})$ (because of independence)

= (0.13)(0.16) = 0.0208

P(X = 1) = P(only one component meet specification) = P[(the first component meet specification and the second component does not meet specification) or (the first component does not meet specification and the second component meet specification)] =

$P[(A\cap B^{c})\cup (A^{c}\cap B)] = P(A\cap B^{c}) + P(A^{c}\cap B)=$ (because sets are mutually exclusive)

$P(A)P(B^{c}) + P(A^{c})P(B)=$ (because of independence)

= (0.87)(0.16) + (0.13)(0.84) = 0.2484

P(X = 2) = P(both components meet specifications) =

$P(A\cap B) = P(A)P(B)$ (because of independence)

= (0.87)(0.84)

= 0.7308

8 0

3 years ago

Find the median. Round to the nearest tenth if necessary.

neonofarm [45]

Answer:

The median refer to the middle

value or number when arranged ascendingly or descendingly therefore the MEDIAN IS 36.8

Step-by-step explanation:

By arranging the numbers ascendingly we have

5.9, 11.2, 13.9, 16.6, 22.9, 36.8, 43.1, 43.7, 44.2, 45.1, 49

Therefore the median which is the number at the centre is 36.8

5 0

3 years ago