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Andreyy89
3 years ago
15

What equation is equivalent to 3(a+4)-5(a-2)=22?

Mathematics
2 answers:
Nata [24]3 years ago
7 0

Answer:

a = 0

Step-by-step explanation:

=> 3(a+4)-5(a-2) = 22

Opening Brackets

=> 3a+12-5a+10 = 22

=> 3a-5a+12+10 = 22

=> -2a+22 = 22

Subtracting 22 to both sides

=> -2a = 0

Dividing both sides by -2

We get,

=> a = 0

Anna11 [10]3 years ago
6 0

Answer:

a = 0

Step-by-step explanation:

3(a+4)-5(a-2)=22

3a+12-5a+10=22

-2a+22=22

<em>Subtract 22 from both sides</em>

-2a=0

<em>Multiply both sides by -1</em>

2a= -0

2a=0

<em>Divide both sides by 2</em>

a=0

Hey I just realized my answer is really similar to Ujalakhan01's so sorry if it seems like I copied them.

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I need answer Immediately pls!!!!!!
Illusion [34]

Given:

Total number of students = 27

Students who play basketball = 7

Student who play baseball = 18

Students who play neither sports = 7

To find:

The probability the student chosen at randomly from the class plays both basketball and base ball.

Solution:

Let the following events,

A : Student plays basketball

B : Student plays baseball

U : Union set or all students.

Then according to given information,

n(U)=27

n(A)=7

n(B)=18

n(A'\cap B')=7

We know that,

n(A\cup B)=n(U)-n(A'\cap B')

n(A\cup B)=27-7

n(A\cup B)=20

Now,

n(A\cup B)=n(A)+n(B)-n(A\cap B)

20=7+18-n(A\cap B)

n(A\cap B)=7+18-20

n(A\cap B)=25-20

n(A\cap B)=5

It means, the number of students who play both sports is 5.

The probability the student chosen at randomly from the class plays both basketball and base ball is

\text{Probability}=\dfrac{\text{Number of students who play both sports}}{\text{Total number of students}}

\text{Probability}=\dfrac{5}{27}

Therefore, the required probability is \dfrac{5}{27}.

3 0
3 years ago
Find the exact value of csc² 30° + cos² 45°.​
natulia [17]

\large \underline{ \mathbb{QUESTION:}}

Find the exact value of csc² 30° + cos² 45°.

\large \underline{ \mathbb{SOLUTION:}}

\tt{csc^{2}   \: 30^{o}  \:  +  \: cos^{2}  \: 45^{o}  \:  =  \: 2^{2}  \:  +  \: ( \frac{1}{ \sqrt{2} }^{2}) }

\: \: \: \: \: \: \: \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \tt{ =  \: 4 \:  +   \:  \frac{1}{2} }

\:\:\:\:\:\:\:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \boxed{\tt{ \red{ =  \: 4 \frac{1}{2} }}}

Therefore the exact value of csc² 30° + cos² 45° is \tt\red{4 \frac{1}{2} }

5 0
2 years ago
Whats is 13.03 + 42+23
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

78.03

5 0
3 years ago
Read 2 more answers
The total surface area of a right circular cylinder is 84 pie cm square and the altitude is 11 cm .find the radius of the base​
djyliett [7]

Answer:

use the formula r = square root of (V / (pi x h))

8 0
3 years ago
Read 2 more answers
Mark stated that the slope of the line that passes through these two points (1, -19) and (-2, -7) is -¼. Is Mark correct? Explai
ladessa [460]

9514 1404 393

Answer:

  no

Step-by-step explanation:

The slope formula is ...

  m = (y2 -y1)/(x2 -x1)

We can use the values ...

  (x1, y1) = (1, -19)

  (x2, y2) = (-2, -7)

Putting these into the formula gives ...

  m = (-7 -(-19))/(-2 -1) = 12/-3 = -4

The slope is -4, not -1/4. Mark is incorrect.

8 0
3 years ago
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