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Juli2301 [7.4K]
3 years ago
6

Will is selling T-shirts for $15 and sweatshirts for $20 at the basketball game. Wills club team needs to raise over $200 for th

e upcoming tournament. Sketch graph that will represent both number of T-shirts and sweatshirts he must sell to reach his goal?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

X = 0     4     8     12

Y =  10   7     4      1

Step-by-step explanation:

Given:

Cost of one T shirt = $15

Cost  of one sweater = $ 20

To find :

The graph that will represent both number of T-shirts and sweatshirts = ?

Solution:

Let the number of t-shirts be x

The number of sweaters  be y

They want to rise a found of $200

Then  the equation to represent this situation is

15x + 20y = 200

By trial and error method

15(12) + 20(1) = 200

15(8) + 20(4) = 200

15(0) + 20(10) = 200

15(4) + 20(7) = 200

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Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).
ale4655 [162]

Answer:

The required equation is:

y = -\frac{3}{2}x+9

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)

We will find the slope of given line segment first

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}

Let m_1 be the slope of perpendicular bisector then,

m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}

Now the mid-point

(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

y = m_1x+b

Putting the value of slope

y= -\frac{3}{2}x+b

Putting the point (2,6) to find the y-intercept

6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9

The equation is:

y = -\frac{3}{2}x+9

7 0
2 years ago
Solve for x.<br> 5<br> 10<br> 12<br> 13
zysi [14]

Answer: B)  4 & 1/6

Nice work on getting the correct answer.

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

Explanation:

x is opposite the marked acute angle

5 is opposite the corresponding acute angle

So x and 5 are proportional to each other. We can form the ratio x/5

Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.

Set those ratios equal to each other and solve for x

x/5 = 10/12

12x = 5*10 ... cross multiply

12x = 50

x = 50/12 ...... divide both sides by 12

x = (25*2)/(6*2)

x = 25/6

x = (24+1)/6

x = 24/6 + 1/6

x = 4 + 1/6

x = 4 & 1/6 which shows why <u>choice B</u> is the answer.

Side note: 25/6 = 4.167 approximately

8 0
3 years ago
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Janelle went to the bank twice and withdrew a total of $40 from
Oduvanchick [21]

Answer:

20$ each visit

Step-by-step explanation

Divide 40 by 2 for her 2 visits to the bank

\frac{40}{2} = 20 \\

<em>Final Answer: </em>20

 

6 0
2 years ago
Find the product (-2)(3)
Umnica [9.8K]

Answer:

Multiply -2 with 3

Step-by-step explanation:

5 0
3 years ago
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Factorize -56xy - 7x please I don't really understand factorization :(
lora16 [44]

Find the Greatest Common Factor (GCF)

GCF = 7x

Factor out the GCF, (Write the GCF first, then in parenthesis, divide each term by the GCF.)

7x(56xy/7x + 7x/7x)

Simplify each term in parenthesis

<u>= -7x(8y + 1)</u>

5 0
3 years ago
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