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3 years ago

How do you do this? Thanks for your time and effort!

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

Well first you have to simplify the denominators with x, by multiplying the denominator on the left times the top and bottom of the middle, and vice versa to get 10x/(4x^2-4x)-9(2x-2)/(4x^2-4x)=-1/4 and then you combine the fractions on the left to get 2(9-4x)/(4x^2-4x)=-1/4 and then you cross multiply the fractions to get 8(9-4x)=-4x^2+4x and then simplify to get 72-32x=-4x^2+4x and then 4x^2-36x+72=0 which then we can turn into 4(x-6)(x-3)=0 so x is 6 and 3

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Diego's history teacher writes a test for the class with 26 questions. The test is worth 123 points and has two types of questio

maxonik [38]

Answer:

The number of essay questions on the test were 9

Step-by-step explanation:

Given as :

Total number of questions in a test = 26

Total points for the 26 questions = 123

The point for each multiple choice questions = 3

The point for each essay questions = 8

Let The number of multiple choice questions = m

Let The number of essay questions = e

<u>Now, According to question</u>

Total number of questions in a test = number of multiple choice questions + number of essay questions

Or, m + e = 26 .....A

Again

Total points for the 26 questions = point for each multiple choice questions × number of multiple choice questions + point for each essay questions × number of essay questions

i.e 3 × m + 8 × e = 123

Or, 3 m + 8 e = 123 .......B

Solving the equation we get

8 × ( m + e ) - (3 m + 8 e) = 8 × 26 - 123

Or, 8 m + 8 e - 3 m - 8 e = 208 - 123

Or,(8 m - 3m) + (8 e - 8 e) = 85

Or, 5 m + 0 = 85

∴ m = $\dfrac{85}{5}$

i.e m = 17

So,The number of multiple choice questions = m = 17

Put the value of m into eq A

∵ m + e = 26

Or, e = 26 - 17

i.e e = 9

So, The number of essay questions = e = 9

Hence, The number of essay questions on the test were 9 . Answer

7 0

3 years ago

A square pyramid has a volume of 108 cubic feet and a height of 4 feet.

xxMikexx [17]

Answer:

The answer is 9 feet.

Step-by-step explanation:

Please mark brainliest.

4 0

3 years ago

I need an answer NOT A LINK! ASAP

katen-ka-za [31]

Answer:

D. No, because group A is already the control group.

7 0

2 years ago

The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the s

Bess [88]

The next three terms are: -3, 6, and 15

To get each new term, we simply add 9 to the last term. So we add 9 to -12 to get -3. Then we add 9 to -3 to get 6. Finally we add 9 to 6 to get 15

In other words,
first term = -12
second term = first term+9 = -12+9 = -3
third term = second term + 9 = -3+9 = 6
fourth term = third term + 9 = 6+9 = 15

This process repeats forever though we only need three terms in this case.

So that's why the answer is the three values -3, 6 and 15

8 0

3 years ago

Another fair dice is rolled 300 times. How many times would you expect it to land with a multiple of three on top? I need help t

ira [324]

Answer:

100 times

Step-by-step explanation:

multiples of 3 on a number cube are 3 and 6

probability of rolling a '3' or '6' is 1/6 + 1/6 = 2/6 or 1/3

1/3 x 300 = 100

7 0

3 years ago