All categories

4 years ago

−2(1 − 4x) = 3x + 8

Mathematics

2 answers:

andreev551 [17]4 years ago

7 0

Answer: x = 2

Step-by-step explanation:

First, Distribute

-2+8x=3x+8

Then, Subtract 3x

-2 + 5x=8

Then, Add 2

5x=10

Then, Divide by 5

x=2

Hope it helps <3

o-na [289]4 years ago

6 0

Answer:

-2(1-4x)=3x+8

distributive property

-2+8x=3x+8

subtract 8 on both sides

-2-8+8x=3x=-10+8x

now subtract 8x on both sides which equal: -10=-5x

now it part of the step and divide -5 on both sides to leave x or solve for x

-10/-5=x=2=x

x=2

Step-by-step explanation:

You might be interested in

The Furnace Creek Airport in Death Valley, California, has an elevation of 64 meters below sea level. The lowest point in New Or

barxatty [35]

Answer:66 meters

Step-by-step explanation:

just change the negative to a positive and add them together. It would be 66.

4 0

3 years ago

The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?

nikitadnepr [17]

Answer:

72 yrs old.

Step-by-step explanation:

The combined age

D+O=96

The owner is 3 times older than dog

O=3D

D+3D=96

4D = 96

D= 24

Now substitute the value of D in O=3D

O=3.24= 72

The owner is 72 years old.

5 0

3 years ago

Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes

Mice21 [21]

ellen had 44 per box and carl had 36 per box

but if they had only two boxes altogether then each box had 80 cans in it

8 0

3 years ago

A chemist has two solutions: a 50% methane solution and an 80% methane solution. He wants 100 mL of a 70% methane solution. How

Likurg_2 [28]

Answer:

33.33 mL of 50%

66.67 of 80%

Step-by-step explanation:

Let x = quantity of 50% methane.

Then,

0.50x + 0.80(100 - x) = 100 × 0.70

⇒ 0.50 x + 80 - 0.80 x = 70

⇒ -0.30 x = 70 - 80

⇒ -0.30 x = -10

⇒ $x=\frac{10}{0.3}$

⇒ x = 33.33 mL of 50%

and, 100 - 33.33 = 66.67 of 80%

5 0

3 years ago

Read 2 more answers

Suppose astronomers built a 50-meter telescope. how much greater would its light-collecting area be than that of the 10-meter ke

drek231 [11]

Answer: Its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.

Step-by-step explanation:

1. To solve this problem you must apply the formula for calculate the area of a circle, which is shown below:

$A=r^{2}\pi$

Where<em> r</em> is the radius of the circle.

2. The diameter of a circle is:

$D=\frac{r}{2}$

Where <em>r</em> is the radius of the circle.

3. Therefore, keeping this on mind, you have that the light-collecting area of a 50-meter keck telescope is:

$A_1=(\frac{50m}{2})^{2}\pi=1963,49m^{2}$

4. And the light-collecting area of a 10-meter keck telescope is:

$A_2=(\frac{10m}{2})^{2}\pi=78.53m^{2}$

5. Divide $A_1$ by $A_2$ , then:

$\frac{1963.49m^{2}}{78.53m^{2}}=25$

6. Therefore, its light-collecting area would be 25 times greater than that of the 10-meter keck telescope.

4 0

4 years ago