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Serga [27]
3 years ago
14

A company did a survey to compare the popularity of two web browsers. It was found that 75 students used browser A, and 40 of th

ose students used browser B also. There were 18 students who did not use browser A but used browser B there were 7 students who did not use either browser A or browser B. Using a two-way table, predict the number of students who would use browser B when 300 students participate in the survey. A) 115 B) 133 C) 162 D) 174
Mathematics
1 answer:
den301095 [7]3 years ago
6 0
75 - 40 = 35 students used just browser A;
18 students used just browser B;
40 students used both ( A and B );
7 students did not use either browser A or browser B.
35 + 18 + 40 + 7 = 100
100  students  ------------- 58 use browser A
300 students --------------- x use browser B
x = 58 * 300 / 100 = 58 * 3 = 174
Answer: D ) 174 
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The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
rusak2 [61]

Answer:

x=30\\y=68\\z=82

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

y+z=5x

The third angle is 14 more than the second

z=y+14

And remember that the sum of these three angles must be equal to 180.

x+y+z=180

Let's take these equations

y+z=5x\\z=y+14\\x+y+z=180

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

x+y+z=180\\x+(y+z)=180\\x+(5x)=180

Distribute the + sign

x+5x=180

Combine like terms;

6x=180

Divide by 6.

x=\frac{180}{6}\\ x=30

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example z=y+14

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

x+y+z=180\\30+y+(y+14)=180

Distribute the + sign and Combine like terms;

30+y+y+14=180\\44+2y=180\\

Subtract 44 to isolate 2y.

2y=180-44\\2y=136

Now divide by 2.

y=\frac{136}{2}\\ y=68

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82

5 0
3 years ago
4x - 4 - 8y + 8 - 5x + 1 =
SashulF [63]
-x-8y+5

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3 0
3 years ago
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4vir4ik [10]
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Step-by-step explanation :

To find the product of

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)

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we now apply the law of indices

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Then, simplify to obtain

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Answer:

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balu736 [363]

Answer:

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Step-by-step explanation:

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3 years ago
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