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statuscvo [17]
3 years ago
11

31.Helppoo with 31. Work and explanation of why

Mathematics
1 answer:
kow [346]3 years ago
3 0
The answer is C. $47.22
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What is the solution to the system of equation<br> -7x-2y=-13<br> X-2y=11<br> Using substitution
Gnom [1K]
        -7x - 2y = -13
-7x + 7x - 2y = 7x - 13
               -2y = 7x - 13
                -2         -2
                 y = -3.5x + 6.5

                      x - 2y = 11
    x - 2(-3.5x + 6.5) = 11
x - 2(-3.5x) - 2(6.5) = 11
             x + 7x - 13 = 11
                   8x - 13 = 11
                       + 13 + 13
                          8x = 24
                           8      8
                            x = 3

y = -3.5x + 6.5
y = -3.5(3) + 6.5
y = -10.5 + 6.5
y = -4
(x, y) = (3, -4)
8 0
3 years ago
The Magic Carpet charges $90 for installation and $9 per square yard of carpeting. The Carpeteria's installation price is $50 bu
Sophie [7]

Answer:

The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)

The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)

The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)

The area of carpet for which the cost is the same is: 10 square yard

Step-by-step explanation:

6a) The cost for magic carpet:

This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:

cost = 90 + 9*a

Where a is the area of carpet to be installed.

6)b) The cost for Capeteria:

This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:

cost = 50 + 13*a.

6) c) The algebraic expression for the cost to be the same in both stores:

90 + 9*a = 50 + 13*a

6) d) We need to solve the expression above for a:

50 + 13*a = 90 + 9*a

13*a - 9*a = 90 - 50

4*a = 40

a = 40/4 = 10

8 0
3 years ago
Consider the following statement. ∀ integer d, if 6 d is an integer then d = 3. Which of the following is a negation for the sta
omeli [17]

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

6 0
3 years ago
2.8y + 6 +0.2 y =5y -14
serious [3.7K]
2.8y + 6 + 0.2y = 5y - 14
(Simplify like terms in first half of equation)
3y + 6 = 5y - 14
(Subtract both sides by 3y)
6 = 2y - 14
(Flip)
2y - 14 = 6
(Add both sides by 14)
2y = 20
(Divide both sides by 2)
y=10
3 0
3 years ago
For the following questions use f(x) = 7x and g(x) = -11+57. Use a domain of [-20,20] for both functions.
scZoUnD [109]

Answer:

So calculate the negative answers and turn them into absolute value.  Then put them in order.

Step-by-step explanation:

5 0
3 years ago
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