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Bad White [126]

2 years ago

13

Write an equation, in simplified form, that represents the following scenerio. Brenda buys 15 shirts and at a 20% discount. She

spent a total of $105. How much did each shirt cost?

1 answer:

oee [108]2 years ago

6 0

Answer:

shirts-15

discount-20%

105:15=7

7×20/100=1.4

7+1.4=8.4

each shirt price is 8.4$

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-Find the y-intercept of the line with the equation 2x+y=5.

AlekseyPX

Answer:

E. 5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

<u>5, b, is the y-intercept</u>

See attached graph.

8 0

1 year ago

seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive

Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

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

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

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

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

$C_{10,7} = \frac{10!}{7!(3)!} = 120$

120 distinct results are possible if no child is to receive more than one gifts.

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3 years ago

a rectangular sandbox has a width of 15 ft and a length of X feet which expression represents the perimeter of the sandbox

Phantasy [73]

Answer:

15(2) + x(2)= perimeter

Step-by-step explanation:

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3 years ago

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Aloiza [94]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

In the figure below, AB=AE, AC=AD and AP is perpendicular to BE. Prove that BC=DE.

NISA [10]

Step-by-step explanation:

1) In the figure, as AB is equal to AE, ABE is an equilateral triangle.

As AP is perpendicular to BE

=> AP is the height of the triangle ABE.

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle.

=> P is the midpoint of BE

=> PE = PB

2) In the figure, as AC = AD, so that ACD is an equilateral triangle.

As AP is perpendicular to BE, so that it is perpendicular to CD as well

=> AP is the height of the triangle ACD

In an equilateral triangle, the median and the height is the same, so that AP is also the median of the triangle ACD.

=> P is the midpoint of CD

=> PC = PD

We have:

+) PB = PE

+) PC = PD

=> PB - PC = PE - PD => BC = DE

5 0

3 years ago