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zysi [14]
3 years ago
14

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $700. Her goal is to raise

more than $9,720. How many more T-shirts, x, does Carlene need to sell to reach her goal?
Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.
Mathematics
1 answer:
valina [46]3 years ago
4 0
She needs to sell around 397 more shirts.

Divide 700 by 20.5. This will give you the amount of shirts she has already raised with is 36 (more accurately 36 6/41). Next divide 8900 by 20.5. This is the amount of shirts she needs to sell in total, which is 434. Subtract these two values.
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MULTIPLE CHOICE
Dvinal [7]

Step 1) Multiply 2 by 3

<em>5x+6 = 2x+3x+6</em>

Step 2) Combine like terms

<em>5x+6 = 5x+6</em>

Step 3) Add 5x and 6 to both sides

Answer:

<em>0 = 0</em>

4 0
3 years ago
Find the equation of straight line passing through the centroid of the centroid of ABC
dem82 [27]

Answer:

use the formula of centroid that is

= x1+x2+x3/3

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Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
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If f(x) = -1, solve for x.
weeeeeb [17]

Answer:

No solution.

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