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3 years ago

What is the x-coordinate of the solution to the system of equations? {3x+2y=3 2x−2y=7

Mathematics

1 answer:

n200080 [17]3 years ago

6 0

Hello
3x+2y=3 ....(1)
2x−2y=7 ..... (2)
(1)+(2) : 5x = 10 x=10/5 =2

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Why isn't 10 a perfect square

nadya68 [22]

Because there is no number that when multiplied by itself that could equal to 10 (ex: 16 is a perfect square because 4 and 4 multiplied together equals 16; 4 and 4 are the same number)

3 0

3 years ago

the first group of students consists of 10 and their average age was 13 years old the next group consisted of 30 students and th

Kazeer [188]

Answer: The average was 9 years old find the average age of both groups is 10 years old.

Step-by-step explanation:

Formula foe average : $\text{Average} =\dfrac{\text{Sum of all observations}}{\text{Number of observations}}$

Given : The first group of students consists of 10 and their average age was 13 years old.

i.e. $13=\dfrac{\text{Sum of ages of students of first group}}{10}\\\\\Rightarrow\ \text{Sum of ages of students of first group}=13\times10=130$ (1)

The next group consisted of 30 students and their average was 9 years old.

i.e. $9=\dfrac{\text{Sum of ages of students of next group}}{30}\\\\\Rightarrow\ \text{Sum of ages of students of nextgroup}=9\times30=270$ (2)

Then from (1) and (2) , the sum of both groups (first group and next group )students = 130+270 =400

Combined students of both groups (first and next group )= 10+30=40

Now , the average of both groups = $\dfrac{\text{Sum of combined students}}{\text{combined students}}$

$=\dfrac{400}{40}=10$

Hence, the average was 9 years old find the average age of both groups is 10 years old.

4 0

3 years ago

PLEASE HELP MULTIPLE CHOICE

san4es73 [151]

Answer:

7. C

8. B

9. B

Step-by-step explanation:

7: A proper fraction is a fraction where the numerator is greater than the denominator. Choice a is a decimal, not a fraction. Choice b is a fraction, but its numerator is equal to its denominator. Choice d is also a fraction, but its denominator is greater than its numerator. Choice c is correct, because it is a fraction where its numerator is greater than its denominator.

8. A decimal fraction has denominators like 10, 100, 1000, as so on. It is a fraction.

9. A fraction is equal to the numerator divided by the denominator. When the numerator is equal to the denominator, the value of the numerator divided by the denominator is 1.

4 0

3 years ago

Find the area of the kite

Elanso [62]

For this case we have that the area of the kite is given by the area of two triangles, the triangles share the same base of 3 + 3 = 6 meters and one has height of 2m and the other height of 4m.

So, the total area is given by:

$A = \frac {1} {2} * 6 * 2 + \frac {1} {2} * 6 * 4\\A = \frac {1} {2} 12+ \frac {1} {2} *24\\A = 6 + 12\\A = 18$

Thus, the area of the kite is $18m ^ 2$

ANswer:

$18m ^ 2$

3 0

3 years ago

-4(3 - 2x) + 2x = 2x4

topjm [15]

Answer:

x = 2

Step-by-step explanation:

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

-12 + 8x + 2x = 2 x 4

-12 + 8x + 2x = 8

-12 + 10x = 8

-12 + 12 + 10x = 8 + 12

10x = 20

$\frac{10x}{10} = \frac{20}{10}$

x = 2

4 0

3 years ago