6w-2(4+w)=w+7 solve for w

Answers

Answer 1

Answer: 6w - 2(4 + w) = w + 7
6w - 8 - 2w = w + 7
4w - 8 = w + 7
(4w - 8) + 8 = w + 7 + 8
4w = w + 15
4w - w = (w + 15) - w
3w = 15
3w ÷ 3 = 15 ÷ 3
w = 5

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The sum of two decimal numbers is 3.9 Their difference is 0.9,and their product is 3.6 What are the two numbers?

Answers

The two numbers are 2.4 and 1.5 respectively.

What is a numerical expression?

A numerical expression is an algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Consider the numbers be: x and y

Given that sum of two decimal numbers is 3.9. Their difference is 0.9 and their product is 3.6

Then the system of equation;

x+y=3.9

x-y=0.9

Adding both the equation we get;

2x = 4.8

x = 2.4

Now for the value of y.

2.4+y=3.9

y=3.9 - 2.4

y = 1.5

Therefore, the two numbers are 2.4 and 1.5 respectively.

Learn more about equations here;

brainly.com/question/25180086

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let numbers be: x and y

x+y=3.9
x-y=0.9

Adding both

2x = 4.8
x = 2.4

2.4+y=3.9
y=3.9 - 2.4
y = 1.5

The length of a rectangle is 3 meters less than twice its width

Answers

whats the total perimeter?

Morris has 1.25 pounds of strawberries he uses 0.25 pounds of strawberries to make one serving how many servings can Morris make

Answers

you have to divide 1.25 by .25 the answer is 5 servings

12/4+(5 power of 2 -6)

Answers

12/4 is 3+5 to the power of -4
5 to the negative 4 power is .0005 plus 3 is 3.0005 I'm sorry if its wrong but that is my answer if I'm reading it right

Multistep Alex needs to varnish the top and the bottom of a dozen rectangular wooden planks. The planks are 8 feet long and 3 feet wide. Each pint of varnish covers about 125 square feet and costs $3.50. a. What is the total area that Alex needs to varnish? b. How much will it cost Alex to varnish all the wooden planks?

Answers

top and bottom
find area of each plank top and m ultiply by 2 then by number of planks
8*3*2*12 (dozen=12)
576

he needs to varnish 576 ft^2
how many 125's are at least 576 (round up since he can't buy fractios of a pint probably)

125x>576
dividee both sides by 125
x>4.608
x=5

5 times 3.5=17.5

a. 576 ft^2
b. $17.5

Tennis balls with a diameter of 2.5 in. are packaged 3 to a can. The can is a cylinder. Find the volume of the space in the can that is not occupied by tennis balls. Assume that the balls touch the sides, top, and bottom of the can. Round your answer to the nearest hundredth. What is the volume not occupied by balls?

Answers

a) First we calculate the volume of each ball:

$\boxed{V=(4\pi r^3)/(3)}\n \n \boxed{V=(4*(3,14)*(1.25)^3)/(3)=8,177 \ square \ inch}$

b) Now we calculate the volume of tree balls:

$\boxed{V_T=3*8,177=24.531 \ square \ inch}$

c) Now we calculate the volume of cylinder:

c1) Base area:

$\boxed{A_b=\pi r^2}\n \n \boxed{A_b=3,14*(1,25)^2=4.906 \ square \ inch}$

c2) Cylinder height

$\boxed{h=3*(2.5)=7.5 \ inch}$

c3) Cylinder Volume:

$V_C=A_b*h\n \n \boxed{V_C=4.906*7.5=36.795 \ cubic \ inch}$

d) Finally we calculate the internal space:

$\boxed{\boxed{s=36.795-24.531= 12,264\ cubic \ inch}}$

$d=2.5 \ in \n \n r=(d)/(2)=(2.5)/(2)=1.25 \ in \n \n \pi=3.14 \n \nVolume \ of \ a \ Cylinder : \n \nV = \pi r^2 h$

$h=3\cdot d = 3*2.5 = 7.5 \ in \n \nV_(c) = 3.14\cdot (1.25)^2\cdot 7.5 = 23.55 * 1.5625=36.80 \ in^3$

$The \ volume \ of \ tree \ balls : \n \n V_(3b)= 3 \cdot (4)/(3) \pi r^3 = 4\pi r^3 \n \nV_(3b)=4\cdot 3.14\cdot (1.25)^3= 12.56\cdot 1.9531 \approx 24.53 \ in^3 \n \nV_(c)-V_(3b)=36.80-24.53 =12.27 \ in^3 \n \n Answer : \ The \ volume \ not \ occupied \ by \ balls \ it \ 12.27 \ in^3$

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