Using the table below, complete and explain the process used for each step in solving the equation. 4c+ 12-2c = 5c - 3​

Answer:

Step-by-step explanation:

let's assume the quota is 1

1=the time each machine takes to fill the quota thus;

1=5hrs what about 1hr=1/5

1=6hrs what about 1hr =1/6

1=7.5hr what about 1hr =2/15

add: 1/5+1/6+2/15=1/2 reciprocate

=2hrs

Answer:

Option A, [tex]385.0\ ft^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the base

[tex]A = l * w[/tex]

[tex]A = 11\ ft * 11\ ft[/tex]

[tex]A = 121\ ft^2[/tex]

Step 2:  Determine the area of the triangles

[tex]A = \frac{h * b}{2}[/tex]

[tex]A = \frac{12\ ft * (11\ ft / 2)}{2}[/tex]

[tex]A = \frac{12\ ft * 5.5\ ft}{2}[/tex]

[tex]A = \frac{66\ ft^2}{2}[/tex]

[tex]A = 33\ ft^2[/tex]

There are two of these triangles per side which means that there are 8 of these triangles in total.  

[tex]33\ ft^2 * 8[/tex]

[tex]264\ ft^2[/tex]

Step 3:  Determine the surface area

[tex]SA = 121\ ft^2 + 264\ ft^2[/tex]

[tex]SA = 385\ ft^2[/tex]

Answer: Option A, [tex]385.0\ ft^2[/tex]

Answer:

102 cups of water

Step-by-step explanation: If you need 34 cups of water for every 2 cups of flour, you can cut the 6 in half to get 3. 3 times 34 is 102.

Answer:

Step-by-step explanation:

Y = kx is the direct variation equation. First find k, the could variation. 16 = k * 20. Divide both sides by 20. 16/20 = k 4/5 = k. The direct variation is "y=kx" . As "x" increases the value of "y" increases.

Answer: 22

Step-by-step explanation: She will have $75 To spend on drink and that can buy 75/3.29 chips

Answer:

Look below

Step-by-step explanation:

The digit three is in the thousands place in the number 63,297, so it represents 3,000. The digit three is in the hundreds place in the number 60,325, so it represents 300.

Answer:

B

Step-by-step explanation:

the solution to the system is at the point of intersection of the 2 lines.

the lines intersect at (- 2, 1 )

then solution to system is (- 2, 1 )

Answer:

I think B, C,  and F are the answers.

Step-by-step explanation:

Answer:

21.875%

Step-by-step explanation:

We need an equation to represent this problem,

Let x be the number of books she had before giving away 42 of them,

x - 42 = 150

To find out how many books she had before turn the problem around and add 42 with 150,

150 + 42 = x

⇒ x = 192

Now that you know that divide 42 by 192,

Let n be the quotient of 42/192

42/192 = n

⇒ n = 0.21875

Now to turn that into a percent move the decimal 2 spaces to the left,

0.21875

⇒ 2.1875

⇒ 21.875%

Therefore there was a 21.875% change.

Answer:

F(x) < 6

Step-by-step explanation:

[tex]\sqrt{(x^2 + 6x +9)} = \sqrt{(x+3)(x+3)} = \sqrt{(x+3)^2\\}[/tex]

This can be simplified to (x+3) and so if x is less than 3, f(x) is less than 6

Answer:

0.571428571429 grams per cm³

Step-by-step explanation:

density = mass/volume

Let’s calculate the volume V of the pyramid :

V = (1/3)×base×height

   = (1÷3)×(5×7)×9

   = 105 cm³

Then

The density = mass/volume

                    = 60÷105

                    = 0.571428571429

Answer:

Between minutes 6 and 10

Step-by-step explanation:

Look at the slope of the line. It appears to be the same between both lines between minutes 6 and 10

Answer:

they travel at the same speed between minutes 6 and 10

Answer:

Step-by-step explanation:

y= -(1/2)x - 5

Answer:

[tex]\frac{2}{3}\div\frac{3}{4}\\= \frac{2}{3}\times\frac{4}{3}\\= \boxed{\frac{8}{9}}[/tex]

Answer:

2/3÷3/4

8/9 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

25.7 m

Step-by-step explanation:

Semicircles are half circles that are divided at the diameter.

We want to find the semicircle arc.

To do this, just find the circumference of the circle and then divide by 2.

Circumference formula:

2rπ or Dπ

10π = 31.4

31.4 / 2 = 15.7

Now, we have to find the straight line part of the semicircle. The length of that straight line is the diameter. We already know that the diameter is 10.

Add

15.7+10 = 25.7

Answer:

The answer is 4cm.

Step-by-step explanation:

Given:

Height= 15cm

The volume of the Cylindrical bottle= 753.6

They have said to use π= 3.14

We are supposed to find r.

-------------------------------------------------------------

Volume of cylinder= πr²h

now substitute teh values given in the formula..we will get:

753.6 = 3.14× r²× 15

After u solve it , you will get

r²= 16

∴r = √16= 4cm

So,  the radius of the bottle is 4cm

Hope it helps!!

Answer:

section covers somplifying algebraic expressions

Step-by-step explanation:

Answer:

A) 1/4x

Step-by-step explanation:

Cause I took the test and got it right

Answer:

-1  17/18

Step-by-step explanation:

I solved this.

Answer:

[tex]-\frac{35}{18}[/tex]

Step-by-step explanation:

[tex]\frac{5}{3}[/tex] ÷ [tex]-\frac{6}{7}[/tex] is the same as [tex]\frac{5}{3}[/tex] × [tex]-\frac{7}{6}[/tex]

Multiply across:

5 x 7 = 35

3 x 6 = 18

Applying the negative sign, we get:

[tex]-\frac{35}{18}[/tex]

Since we cannot simplify any further, -35/18 is out final answer.

Hope this helps!

Answer:

30 stars

Step-by-step explanation:

There are 5 1/5ths in 1. So 5x6(sheets of paper) is 30. For the picture part you could draw 6 sheets of paper and divide each into five parts.

Hope this helps! :)

Answer: Last option is true,

Step-by-step explanation: All other option are false

Answer:

D

Step-by-step explanation:

Answer:

m∠QPR = 25°.

Step-by-step explanation:

If m∠QPR = 9x + 16°, substitute in 1 for 'x':. 9(1) + 16 = 9 + 16 = 25°

The center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center.

It should be noted that a perpendicular bisector simply means a line the intersect another line through the intersection point.

In this case, the center of the circle must be on the perpendicular bisector of chord PQ since it passes through the center. This bisects it at a right angle. The chord closer to the centimeter will be the one closer to the diameter.

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Step-by-step explanation:

Area750 cm² = 750 × 10^-4 m²

pressure = F/A

= 61 /(750×10^-4)

= 61 × 10⁴/750

= 0.081 × 10⁴

= 810 N/ m²

Answer:

813N/m^2

Step-by-step explanation:

Pressure is defined as the amount of force applied to an area. There are 100cm in a single meter, therefore:

[tex]750cm^2=\sqrt{750} cm\frac{1}{100} \frac{m}{cm} =\frac{\sqrt{750} }{100} m=0.075m^2[/tex]

Pressure formula is:

[tex]P=Force/Area=61N/0.075m^2=813N/m^2[/tex]

Step-by-step explanation:

9.

[tex] \frac{15}{x} = \frac{10}{32} \\ x = 48[/tex]

So QR = 48

10.

[tex]since \: \: \frac{9}{13.5} = \frac{12}{18} \: \: we \: have \\ \\ \frac{12}{18} = \frac{10}{x} \\ x = 15[/tex]

So QP is 15

Answer:

Option A

Step-by-step explanation:

Convert mixed fraction to improper fraction.

[tex]\sf w - 9\dfrac{1}{2}=15\\\\ w - \dfrac{19}{2}=15[/tex]

Now isolate 'w'

[tex]\sf w = 15 +\dfrac{19}{2}\\\\= \dfrac{15*2}{1*2}+\dfrac{19}{2}\\\\=\dfrac{30}{2}+\dfrac{19}{2}\\\\=\dfrac{30+19}{2}\\\\=\dfrac{49}{2}\\\\= 24\dfrac{1}{2}[/tex]

Answer:

[tex]\huge\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

Step-by-step explanation:

[tex]w - 9 \frac { 1 } { 2 } = 15[/tex]

Multiply both the sides of the equation by 2.

[tex]2w-\left(9\times 2+1\right)=30 \\2w-\left(18+1\right)=30 \\2w-19=30[/tex]

Bring [tex]19[/tex] to the left hand side of the equation.

[tex]2w=30+19 \\2w=49 \\\boxed{\bf\:w = \frac{49}{2} = 24\frac{1}{2} = 24.5}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

  (b)  Length = 30 feet, width = 20 feet

Step-by-step explanation:

The scale factor is applied to the drawing dimensions to find the actual dimensions.

__

  length = (6 cm) × (5 ft)/(1 cm) = 30 ft

  width = (4 cm) × (5 ft)/(1 cm) = 20 ft

_____

Additional comment

You can also write the scale factor as part of a proportion:

  5 ft : 1 cm :: x ft : 6 cm

Multiplying by 6 cm gives

  (5 ft)(6 cm)/(1 cm) = x ft = 30 ft . . . . as above

f(x)=3x+5

f(-2)=3×(-2)+5

= -6+5

=-1

f(-1)=3×(-1)+5

=-3+5

=2

f(0)=3×0+5

=0+5

=5

f(1)=3×1+5

=3+5

=8

f(2)=3×2+5

=6+5

=11

Answer:

1. BC≅DC ; AC≅EC

2. ∠BCD≅∠ACE and ∠BCA≅∠DCE

3. SAS (side angle side)

Step-by-step explanation:

The missing step in solving the inequality is x > -9

The inequality is given as:

4(x – 3) + 4 < 10 + 6x?

The steps are given as:

The next step in solving the inequality is to apply the division property of inequality by dividing both sides by -2.

This gives

x > -9

Hence, the missing step in the inequality is x > -9

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Answer:

The steepness of any incline can be measured as the ratio of the vertical change to the horizontal change. For example, a  5 % incline can be written as  5100 , which means that for every  100  feet forward, the height increases  5  feet.Figure  4.4.1 In mathematics incline of a line the slope and use the letter  m  to denote it. The vertical change is called the rise and the horizontal change is called the run.Slopem=vertical changehorizontal change=riserun(4.4.1)The rise and the run can be positive or negative. A positive rise corresponds to a vertical change up and a negative rise corresponds to a vertical change down. A positive run denotes a horizontal change to the right and a negative run corresponds to a horizontal change to the left. Given the graph, we can calculate the slope by determining the vertical and horizontal changes between any two points.Example  4.4.1 Figure  4.4.2 From the given points on the graph, count  3  units down and  4  units right.m=riserun=−3units4units=−34 the Answer is.m=−34 .

Step-by-step explanation: