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zepelin
14 days ago
14

Pete works in road construction as a grader operator. His regular work week is

Mathematics
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The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight
Leona [12618]

To convert, divide each tire's weight by 453.592 grams per pound:

800 grams ÷ 453.592 = 1.76 pounds
700 grams ÷ 453.592 = 1.54 pounds
8 0
3 months ago
Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-
tester [12383]
To achieve a positive profit p(x)>0, we start with:
-100 x^{2} +350x-150 \ \textgreater \ 0

Next, we solve for x:
-2 x^{2} +7x-3 \ \textgreater \ 0

The parameters are:
a = -2
b = 7
c = -3

We will apply the quadratic formula:
x_{1} = \frac{-b+ \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{2} = \frac{-b- \sqrt{ b^{2}-4ac } }{2a} \\ \\ x_{1} = \frac{-7+ \sqrt{ 49-24 } }{-4} = \frac{-7+5 }{-4} = \frac{-2 }{-4} = \frac{1}{2} \\ \\ x_{2} = \frac{-7- \sqrt{ 49-24 } }{-4} = \frac{-7-5 }{-4} = \frac{-12 }{-4} = 3

This yields two results—one a fraction, the other a whole number. We focus on the whole number since the muffins sold must be a complete unit. Thus we conclude:
x>3
5 0
3 months ago
Read 2 more answers
What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y – 14 y = –10 y = –1 y = 1 y = 10
Zina [12379]

2.8y + 6 + 0.2y = 5y – 14

Start by simplifying the left side:

3y + 6 = 5y - 14

Next, deduct 3y from both sides:

6 = 2y - 14

Add 14 to both sides:

2y = 20

Now, divide by 2:

y = 20 / 2

y = 10

5 0
2 months ago
Read 2 more answers
Tamara and Amir shared a candy bar. Tamara ate two fifths. Amir ate two fifths. How much is left?
zzz [12365]

Answer:

1/5

Step-by-step explanation:

Amir and Tamara each consumed 2/5 of the candy bar.

The total consumed is 2/5 + 2/5 = 4/5.

Since 4/5 of the candy bar has been eaten, 1/5 remains.

This is because 5/5 minus 4/5 equals 1/5.

(Note that 5/5 represents a whole candy bar).

7 0
3 months ago
In a state where tax is 5%, Jane bought a telescope and paid $4.55 in tax. What is the price of the telescope?
tester [12383]
The telescope’s cost is $91

4.55 divided by 5% (0.05) equals 91.
7 0
1 month ago
Read 2 more answers
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