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ser-zykov [4K]
3 years ago
7

Casey has n nickels. Megan has 4 times as many nickels as Casey has. Write and expression for the total number of nickels Casey

and Megan have. Then simplify the expression.
Mathematics
1 answer:
AnnyKZ [126]3 years ago
6 0

Step-by-step explanation:

Let n be the number of nickels that Casey has.

We are told that Megan has 4 times as many nickels as Casey has, therefore, the number of nickels that Megan has will be 4*n.

Now we will add the amounts of nickels that Casey and Megan have to find the total amount of nickels.

\text{Total number of nickels Casey and Megan have}=n+4*n

Therefore, the expression n+4*n will represent the total number of nickels that Casey and Megan have .

Upon combining like terms we will get,

\text{Total number of nickels Casey and Megan have}=(1+4)n

\text{Total number of nickels Casey and Megan have}=5n

Therefore, Casey and Megan have 5n nickels.

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If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and
Serhud [2]

Answer:

Adult = 39

Children = 36

Step-by-step explanation:

The total number of people = 75

Cost of adult ticket = $2.75

Cost of children ticket = $2.25

Total receipts = $188.25

Let the number of adult = x

Let the number of children = y

X + y = 75 ......equation (i)

(X × 2.75) + (y × 2.25) = 188.25

2.75x + 2.25y = 188.25.......equation (ii)

To find the numbe of adult and children that attended, we'll have to solve equation (i) and (ii) simultaneously.

From equation 1,

X + y = 75

X = 75 - y......equation(iii)

Put equation (iii) into equation (ii)

2.75*(75 - y) + 2.25y = 188.25

206.25 - 2.75y + 2.25y = 188.25

206.25 - 0.5y = 188.25

Collect liketerms

0.5y = 206.25 - 188.25

0.5y = 18

Y = 18 / 0.5

Y = 36

Put y = 36 into equation (i)

X + 36 = 75

X = 39

Therefore the number of adult is 39 while that of children is 36.

4 0
3 years ago
Help me out please thank you!
djverab [1.8K]

Answer:

8^{18}

Step-by-step explanation:

8^15 / 8^-3\\=8^{15-(-3)}\\=8^{15+3}\\=8^{18}

3 0
3 years ago
What is expanded form with parentheses?
Mrrafil [7]
Expanded form with parentheses is basically an easier way to add. For instance, lets use 1,492. The expanded form would be (1,000)+(400)+(90)+(2)=1,492.
4 0
3 years ago
Squash and Water are mixed in the ratio 1:5. Marion needs to make cups of juice that are 150ml for a party. She anticipates she
PIT_PIT [208]
You need to add 1 and 5 and get 6
do 150 divided by 6
you get 25
6 0
3 years ago
Find the range for the domain {-3, 1,4.5} f(x) = 2x
exis [7]

Answer:

Step-by-step explanation:

f(x) = 2x2

Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}

5 0
2 years ago
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