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Elenna [48]
3 years ago
9

What is the solution of

rmula1" title="\frac{x+2}{4} = \frac{x+8}{3}" alt="\frac{x+2}{4} = \frac{x+8}{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Lina20 [59]3 years ago
6 0

Answer:

x = -26

Step-by-step explanation:

Multiply both sides by the lowest common multiple of 4 and 3, which is 12.

3(x+2) = 4(x+8)

3x + 6 = 4x + 32 --- distribute the 4 and 3

6 = x + 32 --- subtract 3x from both sides

-26 = x --- subtract 32 from both sides

x = -26

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Which equation can be used to solve for m, the greater integer? m(m – 3) = 108 m(m + 3) = 108 (m + 3)(m – 3) = 108 (m – 12)(m –
nata0808 [166]

Answer:

m(m-3)=108

Step-by-step explanation:

Complete question below:

Two positive integers are 3 units apart on a number line. Their product is 108.

Which equation can be used to solve for m, the greater integer?

m(m – 3) = 108

m(m + 3) = 108

(m + 3)(m – 3) = 108

(m – 12)(m – 9) = 108

Solution

On the number line,

Let

m= larger integer

The integers are 3 numbers apart on the number line, so

m-3=smaller integer

The product (×) of the larger and smaller integers=108

(m)*(m-3)=108

m(m-3)=108

Therefore, the equation that can be used to solve for m, the larger integer is:

 m(m – 3) = 108 

5 0
3 years ago
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o
katen-ka-za [31]

Answer:

Oil: 10.5 oz Vinegar: 3.5 oz

Step-by-step explanation:

If the amount of vinegar is the variable x than the amount of oil is 3x. this means that x+3x=14 or 4x=14. Which means x=3.5 so vinegar is 3.5 while oil is three times that or 10.5.

8 0
3 years ago
Solve 5x - c = k for x<br><br> Answers above
Rama09 [41]

Answer:

x = ( k+c)/5

Step-by-step explanation:

5x - c = k

Add c to each side

5x -c+c = k+c

5x = k+c

Divide by 5

5x/5= ( k+c)/5

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5 0
3 years ago
Read 2 more answers
Find the missing angles
lora16 [44]

Let's find a.

We are given a right angle which is 90° and an angle marked by "a" next to it. We know that when they are added together, they make a supplementary angle so we can make a equationa and solve.

90 + a = 180

a = 90°

Let's find b.

By looking at the graph, we can tell that the angle "b" and the angle that measures 163° is the same. Thus, b = 163°.

Let's find c.

Using what we did for a, we can solve for c using what we got for b. We can make an equation and solve.

163 + b = 180

c = 27°

Let's find d.

Using the angle that measures 70°, we can solve it like we did with a and c.

70 + d = 180

d = 110°

Let's find e.

Now that we know what d equals, we know that d and e make a supplmentary angle. So, make an equation and solve.

110 + e = 180

e = 70°

Best of Luck!

5 0
3 years ago
HELP ASAP 50 POINT FOR CORRECT ANSWER
satela [25.4K]
Im not sure but I think it is like 65

5 0
3 years ago
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