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3 years ago

Solve the inequality. 2(4 + 2x) < 5x + 5? X<_____

Mathematics

1 answer:

mixer [17]3 years ago

7 0

Answer:

x > 3

Step-by-step explanation:

Given

2(4 + 2x) < 5x + 5 ← distribute left side

8 + 4x < 5x + 5 ( subtract 5 from both sides )

3 + 4x < 5x ( subtract 4x from both sides )

3 < x ⇒ x > 3

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Is this the right answer?

Ne4ueva [31]

Yes your answer is solved correctly

6 0

2 years ago

Match the missing term with the perfect square trinomial 9X^2+?+25<br> 49<br> 6x<br> 36<br> 30x

Igoryamba

9x^2+t+25=(ax+b)^2

9x^2+t+25=a^2*x^2+2abx+b^2 so

a^2=9 so a=3

b^2=25 so b=5 then

t=2ab using a and b from above

t=2*3*5=30

So the missing term is 30x

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3 years ago

twenty students in A and 20 students in class B were asked how many hours they took to prepare for an exam.The data sets represe

SSSSS [86.1K]

Answer:

is there a graph i can read?

Step-by-step explanation:

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2 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random.

Nookie1986 [14]

Answer:

green=4/24 yellow=7/24 black=0/24 red, yellow=15/24

Step-by-step explanation:

7 0

3 years ago