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photoshop1234 [79]
3 years ago
12

Which is the correct form for the quotient and remainder, written as partial fractions, of 3x^3-4x^2+5x-19/x^2+2x+3

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer: it’s correct tyy

Step-by-step explanation:

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The equation 2y+53=165 represents the situation “ Joel spent $165 on a pair of jeans and two shirts at the same price.” What doe
Anvisha [2.4K]

1. answer is C

2. answer is D

3. answer is A

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2 years ago
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Write 47% as a decimal
sertanlavr [38]

Answer:

0.47

Step-by-step explanation:

47% is the same as 0.47.

Hope it helps!

6 0
3 years ago
9. An article was sold at a profit of 12%. Had it been sold for Nu 80 more, there would be a profit of
Kamila [148]

Answer:

<em>The cost price of the article was Nu 1,000</em>

<em>The original selling price was Nu 1,120</em>

<em>The second selling price was Nu 1,200</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Original selling price of the article

y = Cost of the article

The first condition implies that the difference between the selling price and the cost price (the profit) is 12%. Recall the profit % is always calculated with respect to the cost, that is, the profit at the first condition is:

0.12y = Original profit

Setting up the equation, we have:

x-y=0.12y

The second condition states the selling price is 80 Nu more than before, that is:

x+80= Second selling price of the article

y = Cost of the article (it doesn't change)

The profit of this condition is 20%, thus:

0.2y = Second profit

This produces a second equation:

x+80-y=0.2y

Let's put both equations together to form a system of equations:

x-y=0.12y

x+80-y=0.2y

Operating on both equations:

x=1.12y

x=1.2y-80

Equating both equations, we have an equation with only y's:

1.12y=1.2y-80

Subtracting 1.2y on each side:

1.12y-1.2y=-80

Operating:

-0.08y=-80

Solving:

\displaystyle y=\frac{-80}{-0.08}=1,000

a)

The cost price of the article was Nu 1,000

b) The selling price of the article will be calculated in both cases:

Original selling price: x=1.12y= 1.12*1000=1,120

The original selling price was Nu 1,120

The second selling price was x+80=1,200

The second selling price was Nu 1,200

8 0
3 years ago
Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades
cluponka [151]

Answer:

The answer is 72

Step by step Explanation:

You add 62 + 78 + 59 + 89

And it equals 288

Then divide that answer by 4

And the answer is 72

5 0
2 years ago
Read 2 more answers
If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a
kolbaska11 [484]

Answer:

<h2><em>2(3s-14)</em></h2>

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

<em></em>

<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>

8 0
3 years ago
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