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telo118 [61]
3 years ago
14

} =\frac{1}{5}" alt="\frac{x-3}{x+2} =\frac{1}{5}" align="absmiddle" class="latex-formula">

How do I find x?
Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

x=17/4

Step-by-step explanation:

(x-3)/(x+2)=1/5

cross product

1(x+2)=5(x-3)

x+2=5x-15

5x-x-15=2

4x-15=2

4x=2+15

4x=17

x=17/4

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A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.
Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

x -0,3*x = x -24

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x

24=x-0,7*x \rightarrow 24 = x*(1-0,7)

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0
3 years ago
To make a trail mix you must have 4 cups of pretzels and 2 cups of bread chips. What is the ratio of pretzels to bread chips.
Natali [406]
It's 2:1
4:2 divided by 2 on both sides is 2:1
4 0
3 years ago
Read 2 more answers
Find the equivalent exponential expression (7^2)^3
atroni [7]

Answer: 117649 is your answer

3 0
3 years ago
Read 2 more answers
Find 3 solutions to the equation y = −4x −1
agasfer [191]

Answer:

(0,-1)

(1,-5)

(2,-9)

Step-by-step explanation:

y = −4x −1

Let x=0

y = 0-1 = -1  (0,-1)

Let x = 1

y = -4(1) -1 = -4-1 =-5  (1,-5)

Let x = 2

y = -4(2) -1 = -8-1 =-9 (2,-9)

4 0
3 years ago
Find the value of x and each angle if m angle SOP= (7y-2) and m angle SOR = (5y+14)
Semmy [17]

Answer:

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

Step-by-step explanation:

`From the given picture,

Angle SOP and angle SOR are the linear pairs.

Therefore, sum of these angles will be equal to to 180°.

m∠SOP + m∠SOR = 180° -----(1)

Since, m∠SOP = (7x - 2)° and m∠SOR = (5x + 14)°

[There is a misprint in this question. There should be x in place of y in the measures of the angles]

By substituting these values in the equation (1),

(7x - 2) + (5x + 14) = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = \frac{168}{12}

x = 14

m∠SOP = (7x - 2)° = 96°

m∠SOR = (5x + 14) = 84°

5 0
3 years ago
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