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Liono4ka [1.6K]
3 years ago
7

Jalyn plans to sell Algebra Nation t-shirts as a fundraiser for a new scholarship initiative. The wholesale t-shirt company char

ges Jalyn $10.00 a shirt for 75 shirts or less. If the number of t-shirts purchased is between 76 and 150 shirts, the company will lower its price to $7.50 per shirt. If Jalyn purchases 150 or more shirts, the price will decrease to $6.00 per shirt. Which of the following statements are true? Select all that apply.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0
<span>If each shirt costs $10 within the purchase of 1 to 75 shirts, the function will be: 10x (with x being the number of shirts, from 1 to 75). If each shirt costs $7.50 within the purchase of 76 to 150 shirts, the function will be: 7.5x (with x being between 76 and 150). Finally, if each shirt costs $6 within the purchase of 150 or more shirts, the function will be: 6x (with x being any number from 150 up). </span>
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Select whether each equation has no solution, one solution, or infinitely many solutions.
xxTIMURxx [149]

Answer:

Step-by-step explanation:

A)  5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides.  This result is never true, so NO SOLUTION

B)3x−9=3(x−3)   Performing the indicated multiplication, we get

3x - 9 = 3x - 9.  This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3)   Performing the indicated multiplication, we get

2x - 6 = -2x + 6.  Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12.  Thus, the solution is x = 3.  ONE SOLUTION

D)2x+6−5x=−3(x             This equation is incomplete

3 0
3 years ago
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Rita bought 4 rulers for $4.00. If r represents the number of rulers purchased, which equation represents this situation?
Wittaler [7]

Answer: 4r = 4

Step-by-step explanation:

Ruth bought 4 rulers and each ruler is to be represented by r. She therefore bought:

= 4r

She bought these for a total of $4.00 so the equation then becomes:

4r = 4.00

Equation representing situation is: 4r = 4

8 0
3 years ago
Simplify each radical expression
nlexa [21]
31.
5 \sqrt{6}  - 3 \sqrt{6}  = 2 \sqrt{6}
32.
\sqrt{2} ( \sqrt{8}  +  \sqrt{6} ) \\  \sqrt{16}  +  \sqrt{12}  \\ 4 + 2 \sqrt{3}
33.
(3 \sqrt{2}  - 2 \sqrt{5} )(4 \sqrt{2}  + 2 \sqrt{5} ) \\ 12 \sqrt{4}  + 6 \sqrt{10}  - 8 \sqrt{10}  - 4 \sqrt{25}  \\ 24 - 2 \sqrt{10}  - 20 \\ 4 - 2 \sqrt{10}
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3 years ago
Why is this simplified by combining like terms <br> 3(4x+5) +2
Inga [223]
3(4x+5)+2
3•4x=12x
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3 0
3 years ago
Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.
jok3333 [9.3K]

Answer:

(a) s+g=450\\g=s+30

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

s+g=450\\g=s+30

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, s+g=450, the x intercept is at g=0. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents s+g=450.

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents g=s+30.

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The x value of the point of intersection is the earning of Seiji which is $ 210 and the y value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0
3 years ago
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