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MaRussiya [10]
3 years ago
14

Justin has ​$28 to buy a gift for his​ cousin, Julianne. He found a gift for ​$25. With 7​% sales tax added​ on, will Justin hav

e enough money to buy the gift for Julianne​? If​ so, how much will he​ pay?
Mathematics
2 answers:
Degger [83]3 years ago
7 0

Answer:

Yes. Justin has $28 to spend. The gift is $25 with a 7% sales tax, totaling $26.75. Obviously $26.75 is ≤ $28, so yes he has enough for the gift.

motikmotik3 years ago
4 0

Answer:

yes he will pay 26.75

Step-by-step explanation:

25×.07=1.75 25+1.75=26 75

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The area of a right triangle is given by the expression:
lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u><em>Recall</em></u>:

The area of a triangle = \frac{1}{2} bh

<em><u>Given</u></em>:

Area of triangle = \frac{1}{2} (6x^2 - 7x - 3)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

6x^2 - 7x - 3

To find the expression that models the other leg, divide 6x^2 - 7x - 3 by 3x + 1:

  • <em>Thus</em>:

\frac{6x^2 - 7x - 3}{3x - 1}

  • Factorize the numerator

\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}

  • Simplify

\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3

Therefore, the expression that models the length of the second leg of the triangle is <u>2x - 3.</u>

<u></u>

<u></u>

Learn more here:

brainly.com/question/20712284

6 0
1 year ago
Which of the following lines is perpendicular to the line y=7/8x-2?
LenKa [72]

Answer:

Standard form for straight line   y =  m x + b  where m is slope

m' = -m   or m * m' = -1

answer a  or y = - 8/7 + 4     satisfies this requirement

3 0
3 years ago
Find the length of midsegment YZ in trapezoid ABCD when A(-5,-6) B(-6,-2) C(-4,0) and D(3,2)
Luda [366]

Answer:

Option C

Step-by-step explanation:

Since, Y and Z are the midpoints of sides AB and CD of the given trapezoid.

Segment YZ will the midsegment of trapezoid ABCD.

By the theorem of midsegment,

m(YZ) = \frac{1}{2}(AD+BC)

By using expression for the length of a segment between two points,

Length of a segment = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between two points A(-5, -6) and D(3, 2),

AD = \sqrt{(3+5)^2+(2+6)^2}

AD = \sqrt{64+64}

AD = \sqrt{128}

AD = 8\sqrt{2}

Distance between B(-6, -2) and C(-4, 0)

BC = \sqrt{(-6+4)^2+(-2-0)^2}

BC = \sqrt{8}

BC = 2\sqrt{2}

Therefore, m(YZ) = \frac{1}{2}(8\sqrt{2}+2\sqrt{2})

                             = \frac{1}{2} (10\sqrt{2})

                             = 5\sqrt{2}

Option C will be the answer.

7 0
2 years ago
The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x – 80. The cost,
WINSTONCH [101]
<span>SALES:      5x² + 2x – 80
</span>- COST:      5x² – x + 100
=                 ------------------
PROFIT:      0x²+3x-180                        
(+3x because we subtracted a negative (-x), which is called adding, similarly taking away 100 from negative 80 is -180.)

Checking:
5x² + 2x – 80
5(500)²+2(500)-80 = 1,250,920

5x² – x + 100
5(500)² – (500) + 100= 1,249,600

Profit = 1,250,920 - 1,249,600 = 1,320
 
0(500)²+3(500)-180 = 1,320  YAY! {:-)

Double Checking:

5x² + 2x – 80
5(5000)²+2(5000)-80 = 125,009,920

5x² – x + 100
5(5000)² – (5000) + 100= 124,995,100

Profit = 125,009,920 - 124,995,100 = 14,820
 
0(5000)²+3(5000)-180 = <span>14,820</span>  YAY! {:-)



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3 years ago
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Answer:

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Step-by-step explanation:

A

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