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Leni [432]
3 years ago
11

Solve for a. 7a-2b = 5a+b

Mathematics
2 answers:
Stels [109]3 years ago
6 0
<span>So we have a problem with two unknows and one equation. We have to express one over the other like this: 7a - 2b = 5a + b. First we separate one kind on the left side and the other kind on the right side: 7a - 5a = b + 2b. Then: 2a = 3b. Now we divide both sides by 2 and get: a= 3b/2.</span>
Bad White [126]3 years ago
6 0

Answer:

a=3b/2

Step-by-step explanation:

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When a number is increased by 2.8%, the result is 56. What is the original number to
Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.

102.8% = 1.028

2. Divide by the decimal.

56 \div 1.028 = 54.47

3. Round it to the nearest tenth.

54.47 rounds to 54.5.

6 0
3 years ago
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo
kolezko [41]

Let <em>x</em> and <em>y</em> be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2<em>x</em> + <em>y</em> = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

<em>x</em> + 3<em>y</em> = 0.25

Solve for <em>x</em> and <em>y</em>. We have

<em>y</em> = 0.25 - 2<em>x</em>   ==>   <em>x</em> + 3 (0.25 - 2<em>x</em>) = 0.25

==>   <em>x</em> + 0.75 - 6<em>x</em> = 0.25

==>   5<em>x</em> = 0.5

==>   <em>x</em> = 0.1

==>   <em>y</em> = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4<em>x</em> + 4<em>y</em> = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time <em>t</em> to fill one pool, we have

(3/5 pool/hour) (<em>t</em> hours) = 1 pool

==>   <em>t</em> = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0
3 years ago
Select following expressions that are equivalent to 10.
kotykmax [81]

Answer:

5

Step-by-step explanation:

1,2,5

6 0
3 years ago
Which equation has no solution?
sladkih [1.3K]

Answer:

-2(6-3x)=-12+6x

Step-by-step explanation:

If you do the distributive property first and look at the other side of the = sign they are the same, which means that the answer would be x=x, which isn't a solution.

8 0
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ASAP HELP!!! use the quadratic regression feature of a graphing calculator to find a quadratic model. round to the nearest thous
seropon [69]

Answer:

y = 0.008x^2 + 0.518x + 131.886

Step-by-step explanation:

  1. Make sure your Plot 1 is ON. Select the Scatter Plots and the appropriate lists.
  2. Clear all functions in [Y=]
  3. Input data in L1 and L2. Go to [Stat] [Enter] to input data.
  4. Graph data points. ...
  5. Choose a regression from the list in [Stat] "CALC". ...
  6. Go to [ZOOM] "9: ZoomSTat" to view the data with the regression curve.

(credit: CPM Educational Program)

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3 years ago
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