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Fofino [41]
3 years ago
8

school X and school Y play each other in a competition. School X has eight more points that school Y . School X has three times

as many points as school Y. How many points does each school have?
Mathematics
2 answers:
murzikaleks [220]3 years ago
7 0
<span>-----------------------------------
Define x and y :
</span>-----------------------------------
<span>Let x be the points school x scored.
Let y be the points school y scored.

</span>-----------------------------------
<span>Construct equations :
</span>-----------------------------------<span>
School X has eight more points that school Y
x = y + 8

</span><span>School X has three times as many points as school Y.
x = 3y

</span>-----------------------------------
Solve for x and y :
-----------------------------------
x = y + 8 ------------------ (1)
x = 3y     ------------------ (2)
<span>
Sub (2) into (1)

3y = y + 8
2y = 8
y = 4

</span>-----------------------------------
<span>Find school x and y :
</span>-----------------------------------<span>
School y has 4 points.
School x has 4x3= 12 points

</span>---------------------------------------------------------------------------------------------------------
Answer: School x has 12 points and school y has 4 points.
---------------------------------------------------------------------------------------------------------
Alja [10]3 years ago
5 0
Y = 4
x = 12
Why: 4 x 3 = 12
4 + 8 = 12
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The answer is 2.75, I believe.
3 0
3 years ago
The table shows the relationship between the number of Calories Lucie burns while jumping rope and the number of minutes she jum
iragen [17]

Answer:

The amount of calories Lucie will burn by jumping for 1 minute is 8 calories

Step-by-step explanation:

The given data values are;

Minutes {}                  Calories Burned

40                {}            320

80        {}                    640

120 {}                          960

160 {}                          1280

The value of calories burnt and the number of minutes of jump robe are seen to be directly proportional, such that we have;

40 minutes of jump rope will yield 320 calories burnt

Therefore we have;

1 minute of jump rope will yield 320/40 = 8 calories burnt

The amount of calories Lucie will burn by jumping for 1 minute = 8 calories.

8 0
3 years ago
Prove the polynomial identity.
Ronch [10]

Answer:

The answer to your question is: 2, 4, 5, 1 , 3

Step-by-step explanation:

The first line is the second

                                             (3x² - 6)² - (3x²)² = 36(1 - x)(1 + 1)

The second line is the forth

                                             9x⁴ - 36x² + 36x² - 9x⁴ = 36(1 - x)(1 + x)

The next line is the fifth

                                             36 - 36x² = 36(1 - x)(1 + x)

The next line is the first

                                             36(1 - x²) = 36(1 - x)(1 + x)

The last line is the third

                                             36(1 - x)(1 + x) = 36(1 - x)(1 + x)

3 0
3 years ago
Read 2 more answers
Drag and drop the appropriate term into each box to simplify the expression. 3 (5m + 2) = 3. 15 hs -2 2 3 5 6 7 10 15 21 30 5​
ElenaW [278]

The value of m from the equation is -1/5

<h3>Solving equations and expression</h3>

Given the equation below expressed as;

3(5m + 2) = 3

Expand

3(5m) + 3(2) = 3

15m + 6 = 3

Subtract 6 from both sides

15m + 6 - 6 = 3 - 6

15m = -3

Divide both sides by 15

15m/15 = -3/15

m = -1/5

Hence the value of m from the equation is -1/5

Learn more on equation and expression here: brainly.com/question/723406

#SPJ1

6 0
1 year ago
The mean of the values in a data set is c. If each of the values in the data set were multiplied by 6, what would be the mean of
oksian1 [2.3K]

Answer:

Mean of the data would be 6c

Step-by-step explanation:

<u>Rule to Remember:</u> Whenever each term of the data is multiplied by the same number, the new mean is previous mean multiplied by that number.

In this case, original value of mean was c. Each value of the data is multiplied with 6 so a result the new mean would be 6 times the original mean i.e. 6c

Let us consider that original values in the data set are x, y and z. Their mean would be:

Mean=\frac{x+y+z}{3}

If each value of the data is multiplied with 6, the new values would be 6x, 6y and 6z. The mean in this case will be:

Mean=\frac{6x+6y+6z}{3}\\Mean=\frac{6(x+y+z)}{3}\\Mean=6\times\frac{x+y+z}{3}\\Mean=6c

We can see from above that the new mean is 6 multiplied to the original mean.

Therefore, the answer to this question is 6c.

7 0
3 years ago
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