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crimeas [40]
2 years ago
5

When transferring a ration into a fraction what would be the best way to do that?

Mathematics
1 answer:
Oksanka [162]2 years ago
3 0
First, I think what you mean is ratio, not ration.

A ratio can be expressed with a colon. For example, 2 cups of rice to 2 cups of water. The ratio would be 2:2. To convert this to fraction, you just have to simply take the left side of the ratio as the numerator, and the right side as the denominator. In fraction, it would be 2/2. If you want to simplify it, that would just be equal to 1.
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15 Pts + Brainliest for the best answer
34kurt

If T is the midpoint of SU, then ST ≅ TU.

Therefore we have the equation:

6x = 2x + 32       <em>subtract 2x from both sides</em>

4x = 32       <em>divide both sides by 4</em>

x = 8

ST = 6x → ST = 6(8) = 48

TU = ST, therefore ST = 48

SU = ST + TU = 2ST, therefore SU = 2(48) = 96

<h3>Answer: ST = 48, TU = 48, SU = 96</h3>
3 0
3 years ago
As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou
GenaCL600 [577]

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $

$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $

Now, we add Equation (a) and Equation (b).

$ \implies 12x - 18y + 15x + 18y = 72 + 54 $

$ \implies 27x = 126 $

Factor: 3

Equation: 27x = 126

7 0
2 years ago
Factor the expression: 84x – 12x
liberstina [14]
Subtract 12x from 84x = 72x
6 0
2 years ago
Read 2 more answers
Maya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 12 hours. When Maya drove
Roman55 [17]

Answer:

480 miles.

Step-by-step explanation:

Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.

We have been given that there was heavy traffic on the way there, and the trip took 12 hours.

\text{Distance}=\text{Rate}\times \text{Time}

x=12r

We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.

So Maria's speed while returning back would be r+20.

x=8(r+20)

Upon equating both distances, we will get:

12r=8(r+20)

12r=8r+160

12r-8r=8r-8r+160

4r=160

r=\frac{160}{4}

r=40

Upon substituting r=40 in equation x=12r, we will get:

x=12r\\\\x=12(40)\\\\x=480

Therefore, Maya live 480 miles away from the mountains.

7 0
3 years ago
Use the quadratic formula to find the solutions to the quadratic equation below 2x^2-5x+5=0
Serggg [28]

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

2 x^2 - 5 x + 5 = 0

Hint: | Using the quadratic formula, solve for x.

x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:

x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4

Hint: | Express sqrt(-15) in terms of i.

sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):

Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

5 0
3 years ago
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