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3 years ago

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.

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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

RideAnS [48]

2 x Pi x Radius I think?

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3 years ago

Find the missing side lengths

diamong [38]

Answer:

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