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PIT_PIT [208]
3 years ago
9

You received a $100 gift certificate to a clothing store. The store sells T-shirts for $15 and dress shirts for $22. You want to

spend no more than the amount of the gift certificate. You want to spend at least $90. You need at least one dress shirt. What are all the possible combinations of T-shirts and dress shirts you could buy?​
Mathematics
1 answer:
Andreas93 [3]3 years ago
7 0

Answer:

0 T, 4 D

1 T, 3 D

2T, 3D

3T, 2D

4T, 1D

5T, 1D

Step-by-step explanation:

So let's start with what we know!

Gift certificate = $100

T-shirts = $15 each

Dress shirts = $22 each

You need to buy at least one dress shirt in the process and at least spend $90

You can simply find the combinations by going in desmos and writing in:

15x + 22y <= 100

y > 1

15x + 22y >= 90

Find the combinations by looking at the integer values of x, and using only the integer values of y ( do not round them, just cut them down to the integer). Look where all the regions are shaded

The possible combinations are as follows

Note: I am going to initial t-shirts to T and dress shirts to D

0 T, 4 D

1 T, 3 D

2T, 3D

3T, 2D

4T, 1D

5T, 1D

Your welcome for the answer! If you have any questions, let me know in the comments section! If you could mark this answer as the brainliest, I would greatly appreciate it!

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What is the value of x in the equation 1.5(x + 4) – 3 = 4.5(x – 2)?
Pepsi [2]
X=4
Step 1: Simplify both sides of the equation.
1.5(x+4)-3=4.5(x-2)
(1.5)(x)+(1.5)(4)+ -3 =(4.5)(x)+(4.5)(-2)
(1.5x) + ( 6+-3) =4.5x - 9
(Combine like terms)
1.5x+3=4.5x-9

Step 2: Subtract 4.5x from both sides.
1.5x +3 -4.5x =4.5x=-9-4.5x-3x+3=-9

Step 3: Subtract 3 from both sides.
-3x+3-3=-9-3
-3x=12

Step 4: Divide both by -3
-3x/-3=-12/-3
X=4
6 0
3 years ago
Joan works on commission for a furniture store. She gets a base pay of $85 a day plus 6 percent of the
podryga [215]

Answer:

Correct expression: 85 + 0.06(t - 400)

Correct earnings: $91

Step-by-step explanation:

The expression Joan wrote is incorrect because instead, $85, she put $400 as her base salary. The correct expression would be 85 + 0.06(t - 400), where 85 is her base pay in dollars, and t - 400 represents her sales in dollars exceeding $400.

If Joan's sales were $500, she would not make $424.90, but

85 + 0.06(t - 400)

85 + 0.06(500 - 400)

85 + 0.06(100)

85 + 6

$91

Hope this helps.

Cheers,

Andy

7 0
3 years ago
A square pyramid has sides of 4.1 cm, and a pyramid height of .6 cm, determine the volume.
Rainbow [258]
The formula is: a^2 h/3
the answer is about 0.49
6 0
3 years ago
Why is the vertex of vertex form y=a(x-h)^2+k (h,k) rather than (-h,k)? If that was y=2(x-5)^2+6, the vertex would be at (5,6) w
Sindrei [870]

9514 1404 393

Answer:

  (5, 6) is (h, k)

Step-by-step explanation:

Vertex form is an instance of the transformation of parent function f(x) = x². It is vertically scaled by a factor of 'a', and translated so the vertex is point (h, k). That is, the transformed vertex is h units right and k units up from that of the parent function (0, 0).

Parent:

  f(x) = x^2

Transformed:

  f(x) = a(x -h)^2 +k

__

When you compare the form to your specific instance, you need to pay attention to what it is that you're comparing. As the attachment shows, ...

  • a = 2
  • -h = -5   ⇒   h = 5
  • k = 6

Hence the vertex is (h, k) = (5, 6). The second attachment shows this on a graph.

7 0
3 years ago
Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard
jonny [76]

Answer:

n = 6\,rods

Step-by-step explanation:

The total of legs needed to build the stools are:

x = (8) \cdot (3)

x = 24

Likewise the total length of the legs is:

L_{tot} = 24\cdot (0.5\,yd)

L_{tot} = 12\,yd

Lastly, the quantity of rods that needed to buy is:

n = \frac{12\,yd}{2\,\frac{yd}{rod} }

n = 6\,rods

6 0
3 years ago
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