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KIM [24]
3 years ago
10

Simplify these:

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0
First one:
Same denominator so ((9-7x)+(x-4))/(x+7)
Final answer:
(5-6x)/(x+7)

Second one:
Again same denominator so ((7x)-(11x))/(x-7)
Final answer:
(-4x)/(x-7)

Third one:
Same denominator again, ((9x)-(14x))/(x+9)
Final answer:
(-5x)/(x+9)

Fourth one:
Same denominator again, ((3x-4)-(x-9))/(x+6)
Final answer:
(2x+5)/(x+6)

Fifth one:
Different denominators here, so we have to make them them same. We do this by multiplying the first fraction by 3/3 to get (3x-9)/(2x), so ((3x-9)+(x-4))/(6x)
Final answer:
(4x-13)/(6x)

Sixth one:
This one is trickier, we have to multiply each by the others denominator, so ((11)*(x-2))/((x+9)*(x-2)) and ((3)*(x+9))/((x-2)*(x+9)) to get
(11x-22)/(x^2+7x-18) and (3x+27)/(x^2+7x-18)
Final answer:
(14x+5)/(x^2+7x-18)

Last one:
You can change the first fraction to 1/(x*(x-1)), then multiple the second fraction by (x-1)/(x-1) to get (x-1)/(x^2-x). Now add them.
Final answer:
(2-x)/(x^2-1)

Hope I helped :)

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a bag contains 60 marbles, some blue and some green. the ratio of blue marbles to green ones is 1:5. how many blue marbles are t
olga55 [171]
Hello!

For every 1 blue marble there are 5 greens

You add the numbers in the ratio

1 + 5 = 6

Divide this number from the amount of marbles

60 / 6 = 10

Multiply the ratio by this

1 * 10 = 10

5 * 10 = 50

There are 10 blue marbles and 50 green ones

The answer is 10

Hope this helps!
4 0
3 years ago
Suppose it takes you 14 hour to drive to the movie theater at a rate of 40 mph. Your friend lives closer to the movie theater th
dezoksy [38]

Answer: (d)

Step-by-step explanation:

Given

It takes 14 hours with 40 mph to reach the theatre

so, the distance traveled is given by

\Rightarrow d_1=40\times 14\\\Rightarrow d_1=560\ \text{miles}

It is given that d is the distance from theatre to friend's house

So, d must be less than d_1 i.e.

d

So, the most appropriate option out of the given is option (d) as d must be less than 560 and it is possible that it maybe less than 160.

7 0
2 years ago
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4,9,14,
scZoUnD [109]

Answer:

It is an arithmetic sequence and the common difference is 5

Step-by-step explanation:

4+5 = 9; 9+5=14 (adding is arithmetic, multiplying is geometric)

7 0
2 years ago
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Model the following situation with an equation or inequality statement. The quotient of forty-nine and a number is greater than
Assoli18 [71]

Answer:

Equal to 7

Step-by-step explanation:

The way I learned multiplication was with some sayings. "7 times 7 went out to dine, when they came back it was 49"

5 0
3 years ago
Need help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lina2011 [118]

A) 6x + 4x -6 = 24 + 9x

    10x - 6 = 24 + 9x

    10x - 9x = 24 + 6

    X=30

8 0
3 years ago
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