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2 years ago

Solve the system of equations by substitution.

Mathematics

1 answer:

n200080 [17]2 years ago

4 0

Answer:

x = -8

y = -6

Step-by-step explanation:

y = -2x - 22

y = x + 2

x + 2 = -2x - 22

x + 2x = -22 - 2

3x = -24

x = -24 : 3

x= -8

y = -8 + 2

y = -6

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The repairs bill on your car includes $355 for parts $146 for labor and a sales tax of $40 what is the total amount you owed

marissa [1.9K]

Answer:

$541

Step-by-step explanation:

Given:

The repair bill includes $355 for parts $146 for labor and a sales tax of $40

Question asked :

what is the total amount we owed = ?

Solution:

Total cost of parts to repair = $355

Total cost of labor = $146

Sales tax =$40

By adding all the cost:

Total cost of repair = $355 + $146 + $40

= $541

Therefore, total amount we have to pay = $541

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3 years ago

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

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zysi [14]

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3 years ago

If five numbers are selected at random from the set {1,2,3,...,20}, what is the probability that their minimum is larger than 5?

Zanzabum

Answer:

the probability that their minimum is larger than 5 is 0.2373

Step-by-step explanation:

For calculate the probability we need to make a división between the total ways to selected the 5 numbers and the ways to select the five numbers in which every number is larger than 5.

So the number of possibilities to select 5 numbers from 20 is:

20 * 20 * 20 * 20 * 20

First number 2nd number 3rd number 4th number 5th number

Taking into account that a number can be chosen more than once, and the order in which you select the numbers matters, for every position we have 20 options so, there are $20^{5}$ ways to select 5 numbers.

Then the number of possibilities in which their minimum number is larger than 5 is calculate as:

15 * 15 * 15 * 15 * 15

First number 2nd number 3rd number 4th number 5th number

This time for every option we can choose number from 6 to 20, so we have 15 numbers for every option and the total ways that satisfy the condition are $15^{5}$

So the probability P can be calculate as:

$P=\frac{15^{5} }{20^{5} } \\P=0.2373$

Then the probability that their minimum is larger than 5 is 0.2373

7 0

3 years ago