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kozerog [31]
3 years ago
8

A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price

Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

13.50

Step-by-step explanation:

First find the discount

18 * 25%

18 * .25

4.5

Subtract this from the price

18 - 4.5

13.5

The new price is 13.50

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L=a+(n-1)d <br><br> solve for n
earnstyle [38]

Answer:

(L-a)/d + 1 = n

Step-by-step explanation:

Let's isolate (n-1), and after that isolate n:

1) subtract a from both sides:  L - a = (n-1)d

2) Divide both sides by d:  (L-a)/d = n-1

3) Add 1 to both sides, to isolate n:            (L-a)/d + 1 = n

3 0
3 years ago
Ms. Bell's mathematics class consists of 12 sophomores, 8 juniors, and 9 seniors. How many different ways can Ms. Bell create a
shtirl [24]

Answer:

792

Step-by-step explanation:

It's a combination question. The order is of no consequence. Also the fact that there are juniors and seniors is not important either.

So the answer is

12C5

12!

====

(12 - 5)! * 5!

12 * 11 * 10 * 9 * 8

==============

5 * 4 * 3 * 2 * 1

792

7 0
3 years ago
What is the surface area of the prism in square inches?
Kay [80]

<u>Given</u>:

Given that the triangular prism with height 10 inches.

The side lengths of the base of the triangle are 12 inches, 13 inches and 5 inches.

We need to determine the surface area of the prism.

<u>Surface area of the prism:</u>

The surface area of the prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base and h is the height of the triangle.

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 12, h = 5, s₁ = 12, s₂ = 5, s₃ = 13 and H = 10 in the above formula, we get;

SA=(12)(5)+(12+5+13)(10)

SA=60+(30)(10)

SA=60+300

SA=360 \ in^2

Thus, the surface area of the triangular prism is 360 square inches.

Hence, Option b is the correct answer.

8 0
3 years ago
HELP I NEED TO FINISH THIS BY TOMMOROW
Ilia_Sergeevich [38]
Ask your family while is work out the problem for you

7 0
3 years ago
Find a polynomial function of least degree having only real coefficients, a leading coefficient of 1, and roots of 2-√6 , 2+ √6
horsena [70]

Answer:

x^{4} -18x^{3}+104x^{2} -172x-100

Step-by-step explanation:

The 3 roots are given out of which 2 are real and 1 is imaginary. For a polynomial of least degree having real coefficients, it must have a complex conjugate root as the 4th root. Therefore, based on 4 roots, the least degree of polynomial will be 4. Finding the polynomial having leading coefficient=1 and solving it based on multiplication of 2 quadratic polynomials, we get:  

\\\\x_{1} = 2-\sqrt{6} \\x_{2} = 2+\sqrt{6} \\x_{3}=7-i \\x_{4}=7+i \\\\P(x)=1(x-x_{1})(x-x_{2} )(x-x_{3} )(x-x_{4} ) \\\\=(x-(2-\sqrt{6}))(  x-(2+\sqrt{6} )) (x-(7-i))( x-(7+i))\\=((x-2)+\sqrt{6})( ( x-2)-\sqrt{6} ) ((x-7)+i)( (x-7)-i)\\=((x-2)^{2} -(\sqrt{6} )^{2} )((x-7)^{2}-(i)^{2})\\=(x^{2} -4x-2)(x^{2} -14x+50)\\=x^{4} -18x^{3}+104x^{2} -172x-100\\

7 0
3 years ago
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