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Lena [83]
2 years ago
14

4y + 4x = -28 and x = 2y - 4

Mathematics
2 answers:
Rzqust [24]2 years ago
6 0
4y+4(2y-4)=-28
4y+8y-16=-28
12y-16=-28
12y=-12
y=-1
Norma-Jean [14]2 years ago
4 0

Answer:

answer

Step-by-step explanation:

Simplifying

4y = 4x + -28

Reorder the terms:

4y = -28 + 4x

Solving

4y = -28 + 4x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Divide each side by '4'.

y = -7 + x

Simplifying

y = -7 + x

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Which expressions are equivalent to \dfrac{2^5}{6^5}
DerKrebs [107]

We have been given an expression \frac{2^5}{6^5}. We are asked to choose the expressions, which are equivalent to our given expression.

Using exponent property \frac{1}{a^n}=a^{-n}, we can rewrite our given expression as:

\frac{2^5}{6^5}=2^5\cdot 6^{-5}

Upon looking at our given choices, we can see that option D is the correct choice.

Let us simplify our given expression.

\frac{2^5}{6^5}=\frac{2^5}{(2\cdot 3)^5}

\frac{2^5}{6^5}=\frac{2^5}{2^5\cdot 3^5}

Upon cancelling out 2^5 from numerator and denominator, we will get:

\frac{2^5}{6^5}=\frac{1}{3^5}

Using exponent property \frac{1}{a^n}=a^{-n}, we will get:

\frac{1}{3^5}=3^{-5}

Therefore, option B is a correct choice as well.

3 0
4 years ago
Read 2 more answers
4. Ms. Bragg is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and
Nataliya [291]

9514 1404 393

Explanation:

A)

Let t and f represent the numbers of two-point and four-point questions, respectively.

__

B) The number of points for each type of question is the product of the point-value per question and the number of questions of that type.

  2t + 4f = 100 . . . . . the test is worth 100 points

  t + f = 40 . . . . . . . . there are 40 questions on the test

_____

<em>Additional comment</em>

The test will have 30 two-point questions and 10 four-point questions.

7 0
2 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
4 years ago
7 x [(7+7) divided 7] =
galben [10]

BIDMAS

Step-by-step explanation:

FIRST DO 7+7÷7 AND TIMES THE ANSWER BY 7

6 0
3 years ago
Read 2 more answers
How to find the area of a half circle ?
Anettt [7]
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6 0
3 years ago
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