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seraphim [82]
2 years ago
9

A T-shirt company charges $4 per T-shirt, plus a

Mathematics
2 answers:
Gennadij [26K]2 years ago
8 0

Answer:

y = 4x + 5

Step-by-step explanation:

4 times the number of shirts, which is unknown, +$5 no matter how many.

miv72 [106K]2 years ago
6 0

Answer:

4x + 5

Step-by-step explanation:

Four multiplied by the number of shirts purchased (x) plus five dollars for shipping.

I hope this helps!!

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Explain how to distribute the 13 to the terms inside the parentheses, then do the distribution. Use multiplication to simplify t
Nonamiya [84]

Answer:

52 + 13x

Step-by-step explanation:

To distribute something means to divide / share a part of something. The distributive property works similarly. The distributive property states that multiplying the total sum of two variables by a number is the same as the total sum of each product of individual variables and the number.

For example: a(b+c) = ab + ac

Therefore, in order to distribute the 13 into the terms inside the parentheses, you follow the distributive property and multiply each individual variable in the parentheses by 13 and add all the resulting products.

13(4 + x) = (13*4) + (13*x) = 52 + 13x

3 0
3 years ago
Write the equation of the line that passes through the points (-3, 3) and (1, 2).
postnew [5]
Y=-1/4x+2.25

Slope: -1/4
Y-intercept: 2.25

5 0
3 years ago
Please help asap 100 points
vesna_86 [32]

Answers:

Problem #1: Option C, 166 yards cubed

Problem #2:  Option A, 10

Step-by-step solution:

The first problem may seem a lot more confusing that it really is and this actually happened to me when I looked at it.  Just because the cylinder is slanted that actually doesn't change any of the volume that we would have if it was straight up with the same diameter and height.

Using what we know about cylinders, let us plug all the information inside of the formula to determine the volume of the cylinder.  However, before doing that we need to determine the radius of the circle from the diameter that was given.

<u>Divide the diameter by two to get the radius</u>

  • Radius = \frac{Diameter}{2}
  • Radius = \frac{5.2\ yd}{2}
  • Radius = 2.6\ yd

<u>Plug in the values</u>

  • V_{cylinder} = (\pi * radius^2)*height
  • V_{cylinder} = (\pi * (2.6\ yd)^2)*7.8\ yd

<u>Simplify the exponent</u>

  • V_{cylinder} = (\pi * (2.6)^2 *(yd)^2)*7.8\ yd
  • V_{cylinder} = (\pi * 6.76\ yd^2)*7.8\ yd

<u>Simplify the expression</u>

  • V_{cylinder} = (21.237\ yd^2)*7.8\ yd
  • V_{cylinder} = 165.65\ yd^3

Therefore, after simplifying the expression using the cylinder volume formula and the given information we were able to determine that the option that best fits the description of our answer is option C, 166 cube yards.

Now that we completed the first question, we can move onto the second question.  In this question we are given a figure along with 3 numbers and one unknown, x, which we need to find the value of.  We need to use the Secant-Secant Power Theorem to help determine our solution.

<u>Make an expression to represent the scenario</u>

  • 32(x + 32) = 28(20 + 28)

We know have an expression which we can now simplify and get the value of the unknown easily.  The first step would be to distribute the 32 and 28.

<u>Distribute both sides</u>

  • 32(x + 32) = 28(20 + 28)
  • (32 * x) + (32 * 32) = (28 * 20) + (28 * 28)
  • 32x + 1024 = 560 + 784

<u>Simplify the expression</u>

  • 32x + 1024 = 1344

We now have a simple expression where we can now subtract both sides by 1024 to help isolate x with its coefficient.

<u>Subtract 1024 from both sides</u>

  • 32x + 1024 - 1024 = 1344 - 1024
  • 32x = 1344 - 1024
  • 32x = 320

The final step that we have to help fully isolate x by itself is to divide both sides by 32 which would remove the coefficient from x.

<u>Divide both sides by 32</u>

  • \frac{32x}{32} = \frac{320}{32}
  • x = \frac{320}{32}
  • x = 10

After simplifying the expression completely, we are able to see that the best option that fits our description is option A, 10.

8 0
2 years ago
Lee joins a club. The registration fee is $100 and it also has a $30 a month fee. Write a linear equation to represent this situ
Ksju [112]

Answer:

Y = 30x + 100

Step-by-step explanation:

Hope this helps. Pls give brainliest.

6 0
3 years ago
Daniel brother can eat 4 ice cream sandwiches every 30 minutes his brother can eat double that how many ice cream sandwiches wil
Snowcat [4.5K]

Answer:

3 minutes and 45 seconds

Step-by-step explanation:

His brother can eat 1 ice cream sandwich every 3 minutes and 45 seconds I found this out by dividing 30 by 8 then I got 3.75 then I converted .75 to 75% of 60 was 45 thus ending up with 3:45

8 0
4 years ago
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