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Evgesh-ka [11]
3 years ago
10

Complete the equation, and tell which property you used. 8 x (14+7) = _________+ (8 x 7)

Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
By distributive property, 8 x (14 + 7) = (8 x 14) + (8 x 7)
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Lisa and Krystal are planning trips to ten countries this year. They have 14 countries on their bucket list, in how many ways ca
Salsk061 [2.6K]

Answer:

1,001 ways for them to decide.

Step-by-step explanation:

The order in which they will visit the countries is not important, so we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

10 countries from a set of 14. So

C_{14,10} = \frac{14!}{10!(14-10)!} = 1001

1,001 ways for them to decide.

8 0
3 years ago
After stepping into a room with unusual lighting, Michelle's pupil has a diameter of 8 millimeters. What is the pupil's circumfe
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2 x Pi x Radius I think?
8 0
3 years ago
Find the missing side lengths
diamong [38]

Answer:

90

Step-by-step explanation: A right triangle will always add up to 180 seeing that the other two add up to 90 the last side is 90

3 0
3 years ago
Read 2 more answers
What is the difference? StartFraction x 5 Over x 2 EndFraction minus StartFraction x 1 Over x squared 2 x EndFraction StartFract
Troyanec [42]

The difference of the given fraction is expressed as \frac{x^2+4x-1}{x(x+2)}

Given the expression:

  • \frac{x+5}{x+2}-\frac{x+1}{x^2+2x} \\

Take the LCM of the fraction to have:

=\frac{x+5}{x+2}-\frac{x+1}{x(x+2)} \\=\frac{x(x+5)-(x+1)}{x(x+2)} \\=\frac{x^2+5x-x-1}{x(x+2)}\\=\frac{x^2+4x-1}{x(x+2)}

Hence the difference of the given fraction is expressed as \frac{x^2+4x-1}{x(x+2)}

Learn more on fractions here; brainly.com/question/78672

7 0
2 years ago
Read 2 more answers
Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki
Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie  

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y  ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

x+y+z=120 ------> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

\frac{y}{z}=\frac{3}{5}

z=\frac{5}{3}y -----> equation C

substitute equation B and equation C in equation A and solve for y

\frac{2}{3}y+y+\frac{5}{3}y=120

\frac{10}{3}y=120

y=120(3)/10

y=36

<em>Find the value of x</em>

x=\frac{2}{3}(36)=24

<em>Find the value of z</em>

z=\frac{5}{3}(36)=60

therefore

The  amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

\$60-\$24=\$36

therefore

Jessica makes $36 less than Kimmie

7 0
3 years ago
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