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Orlov [11]
3 years ago
15

The height of a triangle is 8cm more than the base. If the area is 90cm^2, find the base and the height

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0
I get the base to be 4.74 and the height to be 12.74
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Read a system of equations to describe the situation below solve using illumination and fill in the blanks
Lana71 [14]

System of Equations

Let:

x = number of people that can be seated at a table

y = number of people that can be seated at a booth

The first plan consists of 23 tables and 10 booths and then 228 people could be seated, thus:

23x + 10y = 228

The second plan consists of 12 tables and 12 booths and that way 180 people could be seated, thus:

12x + 12y = 180

The method of elimination requires equating the coefficients of one variable and eliminating it by adding the equations.

Multiply the first equation by 12:

276x + 120y = 2736

Multiply the second equation by -23:

-276x - 276y = -4140

Add the last two equations (the variable x cancels out):

120y - 276y = 2736 - 4140

Simplifying:

-156y = -1404

Dividing by -156:

y = -1404/(-156)

y = 9

Substitute this value in the first equation:

23x + 10(9) = 228

Operate:

23x + 90 = 228

Subtract 90:

23x = 138

Divide by 23:

x = 138/23

x = 6

Every table can seat 6 people, and every booth can seat 9 people

4 0
1 year ago
Help plzz be serious
Rzqust [24]

Answer: 864

Step-by-step explanation:

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5 0
3 years ago
Two less than 3 times a number is the same as the number plus 10. What is the number?
taurus [48]

This should help

3 * a - 2 = a + 10

8 0
3 years ago
Suppose the x intercept of the graph of y=f(x) are 2 and 3. what are the x-intercepts of y=8f(x)
Yuliya22 [10]

We are given: Function y=f(x).

First x-intercept of the y=f(x) is 2.

x-intercept is a point on x-axis, where y=0.

Replacing y by 0 and x by 2 in above function, we get

0=f(2)

Second x-intercept of the y=f(x) is 3.

Replacing y by 0 and x by 2 in above function, we get

0=f(3)

We are given another function y=8f(x).

Here only function f(x) is being multiplied with 8.

That is y values of function should be multiply by 8.

Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.

Therefore,

x-intercepts of y=8f(x) would remain same, that is 2 and 3.

6 0
3 years ago
Choose all the numbers that are common multiples of 12 and four
irina [24]

Answer:

12, 24 , and 36

Step-by-step explanation:

6 0
3 years ago
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