All categories

4 years ago

Which expression is equivalent to 2(3 – x) – 12 + 4x?

Mathematics

1 answer:

Andru [333]4 years ago

6 0

Answer:

2(x - 3)

Step-by-step explanation:

2(3 – x) – 12 + 4x

6 - 2x - 12 + 4x

2x - 6

2(x - 3)

You might be interested in

It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 1

IRINA_888 [86]

Answer:

Flora can make 10 pairs of socks and 5 pairs of gloves.

Step-by-step explanation:

Here we have to form two equations from the given information.

Let "x" be the number of pair of socks and "y" be the number of pair of gloves.

Given:

It takes flora 3 hours to knit a pair of socks and 7 hours to knit a pair of gloves. If she spent 65 hours knitting a total of 15 pairs of socks and gloves,

x + y = 15

3x + 7y = 65

Now we have to solve these two equations to find the solution.

Let's use the substitution method.

From the first equation can be written as

x = 15 - y

Now plug in x = 15 - y in the second equation and find the value of y.

3(15 - y) + 7y = 65 (This is called substitution method)

45 - 3y + 7y = 65

Simplify the like terms

45 + 4y = 65

Subtract 45 from both sides, we get

4y = 65 - 45

4y = 20

Dividing both sides by 4, we get

y = 20/4

y = 5

Now plug in y = 5 in the x = 15 - y

x = 15 - 5

x = 10

Therefore, Flora can make 10 pairs of socks and 5 pairs of gloves.

5 0

4 years ago

(SAT Prep) Find the value of x.

AveGali [126]

Answer:

x = 155

Step-by-step explanation:

First find the missing angle in the smaller triangle.

We know that the sum of the angles in a triangle is 180 so 35 + 90 + the missing angle = 180 so 180 - (35+90) = 180 - 125 = 55

Since the line above is a straight line, the sum of the angles must equal 180 so 55 + 60 + ? = 180. So 180 - 115 = 65.

The triangle is a right triangle so that means on of the angles is 90. So 65 + 90 = 155, so we have 180 - 155 = 25.

The angle that x is on is also a straight line so that means the angles must add up to 180 so 180 - 25 = 155.

8 0

3 years ago

Read 2 more answers

Vera is an ecologist who studies the change in the bear population of Siberia over time. The relationship between the elapsed ti

rewona [7]

Answer:

Every year, the bear population shrinks by a factor of 2/3 .

Explanation:

The concrete question and the function or data were omitted.

I found the complete question on the internet. Please, find attached the picture with the complete question

You must complete the sentence about the yearly rate of change of the bear population, telling whether it grows or shrinks and by what factor.

Thus, the goal is to interpret the rate of change in an exponential model.

The exponential model is:

$N(t)=2187\cdot \bigg(\dfrac{2}{3}\bigg)^t$

Let's analyze that function.

When t = 0, (2/3)⁰ = 1 and N(0) = 2,187 × 1 = 2,187

Thus, the population of bears starts with 2,187 individuals.

For t = 1, the population will be N(1) = 2,187 × (2/3).

For t = 2, the population will be N(2) = 2,187 × (2/3)²

And so on, every year the population of bears is multiplied by a factor of 2/3.

Since, 2/3 is less than 1, every year the population will be decreasing (decaying), by a factor of 2/3.

Thus, the answer, i.e. the complete sentence, is:

Every year, the bear population shrinks by a factor of 2/3 .

6 0

4 years ago

Read 2 more answers

Find the volume - leave answer in terms of π

Andreas93 [3]

Answer:

144 $\pi$

Step-by-step explanation:

Volume of a Sphere :

V = $\frac{4}{3}$ $\pi$ $r^{3}$

V = $\frac{4}{3}$ $\pi$ $6^{3}$

V = $\frac{4}{3}$ (216) $\pi$ (216 times 4, divided by 3)

V = 288 $\pi$

Now divide by 2, it's only half of a sphere.

5 0

3 years ago

Which inequality is true

OLga [1]

The second one would be correct

7 0

3 years ago