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amm1812
3 years ago
15

At a carnival , 7 out of 10 people order a hot dog. If there is 90 people at the carnival, how many of them did

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

27 people

Step-by-step explanation:

Out of 10 people, 7 people ordered a hot dog.

Multiply both sides by 9:

Out of 90 people, 7\times9 people ordered a hot dog.

Thus, 63 people ordered a hot dog.

Number of people who did not order a hot dog: 90-63=27

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2 less than 7 times a number c is written as
sammy [17]

Answer:

7c-2

Step-by-step explanation:

7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.

7 0
3 years ago
Jen bought a new brush for $10.50
Akimi4 [234]

Answer:

$15.35

Step-by-step explanation:

Brush = $10.50

Paint = $22.50

Sales tax = (10.50 + 22.50) x 0.05 = $1.65

Add up all the money Jen needs to pay = 10.50 + 22.50 + 1.65 = $34.65

Jen paid with a $50 bill so subtract 34.65 from 50 to get $15.35

8 0
3 years ago
Read 2 more answers
Unit rate for $56/25 gal
kodGreya [7K]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
If 18√8 - 8 √18 = √n, what is n?
Yuliya22 [10]

Answer:

n=288

Step-by-step explanation:

Rewrite the equation as  

√

n

=

18

√

8

−

8

√

18

.

√

n

=

18

√

8

−

8

√

18

To remove the radical on the left side of the equation, square both sides of the equation.

√n

2

=

(

18

√

8

−

8

√

18

)

2

Simplify each side of the equation.  

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

n  as  n

1

2

.

(

n

1

2

)

2

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

n

1

2

)

2

.  

Multiply the exponents in  

(

n

1

2

)

2

.  

Apply the power rule and multiply exponents,  

(

a

m)n

=

a

m

n

.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Rewrite the expression.

n

1

=

(

18

√

8

−

8

√

18

)

2

Simplify.

n

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

18

√

8

−

8

√

18

)

2

Simplify each term.

Rewrite  

8  as  2

2

⋅

2

.  

Factor  

4  out of  8  

n

=

(

18

√

4

(

2

)

−

8

√

18

)

2

Rewrite  

4  as  2

2  

n

=

(

18√

2

2

2

−

8

√

18

)

2

Pull terms out from under the radical.

n

=

(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply  

2  by  18  

n

=

(

36

√

2

−

8

√

18

)

2

Rewrite  

18

as  

3

2

⋅

2

.

Factor  

9

out of  

18

.

n

=

(

36

√

2

−

8

√

9

(

2

)

)

2

Rewrite  

9

as  

3

2

.

n

=

(

36

√

2

−

8

√

3

2

⋅

2

)

2

Pull terms out from under the radical.

n

=

(

36

√

2

−

8

(

3

√

2

)

)

2

Multiply  

3

by  

−

8

.

n

=

(

36

√

2

−

24

√

2

)

2

Simplify terms.

Subtract  

24

√

2

from  

36

√

2

.

n

=

(

12

√

2

)

2

Simplify the expression.

Apply the product rule to  

12

√

2

.

n

=

12

2

√

2

2

Raise  

12

to the power of  

2

.

n

=

144

√

2

2

Rewrite  

√

2

2

as  

2

.

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

2

as  

2

1

2

.

n

=

144

(

2

1

2

)

2

Apply the power rule and multiply exponents,  

(

a

m

)

n

=

a

m

n

.

n

=

144

⋅

2

1

2

⋅

2

Combine  

1

2

and  

2

.

n

=

144

⋅

2

2

2

Cancel the common factor of  

2

.

Cancel the common factor.

n

=

144

⋅

2

2

2

Rewrite the expression.

n

=

144

⋅

2

1

Evaluate the exponent.

n

=

144

⋅

2

Multiply  

144

by  

2

.

n

=

288

5 0
3 years ago
9. The probability of a child being born with light-colored eyes to two particular parents is 0.25.
slavikrds [6]

If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.

The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be

5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9

4 0
2 years ago
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