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3 years ago

Using the properties of equality, find the value of x in the equation below.

Mathematics

1 answer:

Natali5045456 [20]3 years ago

8 0

Answer:

-1/5 or - .2

Step-by-step explanation:

4x(2+8)= -8

(4*-.2)(2+8)= -8

-.8(2+8)= -8

-.8(10)= -8

-8=-8

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In a group of Explore students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Elodia [21]

Answer:

The number of students that like only two of the activities are 34

Step-by-step explanation:

Number of students that enjoy video games, A = 38

Number of students that enjoy going to the movies, B = 12

Number of students that enjoy solving mathematical problems, C = 24

A∩B∩C = 8

Here we have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) -n(A∩C) + n(A∩B∩C)

= 38 + 12 + 24 - n(A∩B) - n(B∩C) -n(A∩C) + 8

Also the number of student that like only one activity is found from the following equation;

n(A) - n(A∩B) - n(A∩C) + n(A∩B∩C) + n(B) - n(A∩B) - n(B∩C) + n(A∩B∩C) + n(C) - n(C∩B) - n(A∩C) + n(A∩B∩C) = 30

n(A) + n(B) + n(C) - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 3·n(A∩B∩C) = 30

38 + 12 + 24 - 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) + 24 = 30

- 2·n(A∩B) - 2·n(A∩C) - 2·n(B∩C) = -68

n(A∩B) + n(B∩C) + n(A∩C) = 34

Therefore, the number of students that like only two of the activities = 34.

8 0

3 years ago

Write the number name for 43,080,700

Likurg_2 [28]

Forty three million, eighty thousand, seven hundred

5 0

3 years ago

Read 2 more answers

(25 points) Can someone please solve this I just need to see how its solved to understand

aleksley [76]

x = total amount of students in 8th Grade.

we know only one-thrid of the class went, so (1/3)x or x/3 went.

we also know 5 coaches went too, and that the total amount of that is 41.

$\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108$

now, to verify, well, what do you get for (108/3) + 5?

4 0

3 years ago

Which of the following equations can be used to find the length of angle LN in the triangle below?

shtirl [24]

Answer:

Option A. $LN^{2}=33^{2}-11^{2}$

Step-by-step explanation:

we know that

In the right triangle MNL

Applying the Pythagoras Theorem

$MN^{2}=ML^{2} +LN^{2}$

substitute the values

$33^{2}=11^{2} +LN^{2}$

$LN^{2}=33^{2}-11^{2}$

5 0

3 years ago

How to find the factored form of a trinomial?

julsineya [31]

Write out all the pairs of numbers which can be multiplied to produce c.
Add each pair of numbers to find a pair that produce b when added. ...
If b > 0, then the factored form of the trinomial is (x + d )(x + e). ...
Check: The binomials, when multiplied, should equal the original trinomial.

4 0

3 years ago