Solving Linear Equations involving Distribution
Solve the linear equation:
3.4 + 2(9.7 - 4.8x) = 61.2
What are the possible steps involved in solving this
equation? Check all that apply.
Add 3.4 and 2.
Distribute 2 to 9.7 and -4.8x.
Combine 3.4 and 19.4.
Divide both sides by 22.8.
Subtract 22.8 from both sides.
Divide both sides by -9.6.

Answers

Answer 1

Answer:

-4

Step-by-step explanation:

3.4+2(9.7-4.8x)=61.2

2(9.7-4.8x)=61.2-3.4

2(9.7-4.8x)=57.8

9.7-4.8x=57.8/2

9.7-4.8x=28.9

4.8x=9.7-28.9

4.8x=-19.2

x=-19.2/4.8

x=-4

Answer 2

Answer:

B, C, E, F

Step-by-step explanation:

B. Distribute 2 to 9.7 and −4.8x.

C. Combine 3.4 and 19.4.

E. Subtract 22.8 from both sides.

F. Divide both sides by −9.6.

I did the question myself these were the answers.

Related Questions

sketch the graph of the inequality
y-3x>-2

Answers

To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)

1. Find the equation of the boundary line.

y-3x>-2 is the equation.

2. Choose a point (x, y) on the shaded side on the line.

3. Plug x and y, in the boundary to identity the inequality sign.

If the area of a sector is 100 ft^2 and the radius of the circle is 22 ft what is the central angle measure for that sector and what is the length of the arc

Answers

Answer:

[tex]\displaystyle \theta=0.413\ rad[/tex]

L= 9.086 feet

Step-by-step explanation:

Area of a Circular Sector

Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by

[tex]\displaystyle A=\frac{1}{2}r^2\theta[/tex]

And the length of the arc is:

[tex]L=\theta r[/tex]

We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:

[tex]\displaystyle 100=\frac{1}{2}r^2\theta[/tex]

Solving for θ:

[tex]\displaystyle \theta=\frac{200}{r^2}[/tex]

[tex]\displaystyle \theta=\frac{200}{22^2}[/tex]

[tex]\displaystyle \theta=0.413\ rad[/tex]

The arc length is:

[tex]L=0.413* 22[/tex]

L= 9.086 feet

find the value of x and y (5y-23) (2x+13) (3x) 47​

Answers

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

A family has a newborn baby and decides to invest $300 into an account that will earn interest. They plan to give her the full amount of money in the account on her 18th birthday. They have two choices: Option 1: An account that grows by 12% each year Option 2: An account that grows by $30 each year. Which option will result in a better 18th birthday gift? Justify your choice and explain your reasoning.​

Answers

Option 1 is better. 12% of $300 is $36, so even in just the first year, it grows by $6 more than if they picked the other option. I hope this helps :)

LaTeX: P=R+C (solve for R)

Answers

Answer:

Step-by-step explanation:

Subtract C from both sides

R = P - C

y < 2x + 9 solid or dotted line​

Answers

Answer:

dotted

Step-by-step explanation:

when there is a line underneath the less than or equal to sign, it is solid, when there is not a line it is dotted.

Find the missing dimension of a triangle with a base of 14.2 yd and a area of 63.9 yd

Answers

Answer:

7.78

Step-by-step explanation:

first you need to divide both numbersthen you nullify the sumyv6bgu6g6ogi5 baka

10 points and king crown extra 5+ points and pplease go to pic and answer it

Answers

Answer:

the answer is 30x+33

Which of the following systems of linear equations has no solution?

Answers

Answer: 3rd option

Step-by-step explanation:

Which equation best represents the comparison sentence

Answers

Answer:

5

Step-by-step explanation:

A 16-oz package of rice is $0.79. A 32-oz package is $3.49. Which has the lower unit cost?
Group of answer choices

Answers

16 ounce bag of rice for $0.04 per unit
16 oz. : $0.79

1 oz. : 0.79/16 = $0.049375

Round to three decimal places

Unit cost = $0.049



32 oz : $3.49

1 oz : 3.49/32 = $0.1090625

Round to three decimal places

Unit cost = $0.109



0.109 > 0.049


Answer: 16 oz. pack has a lower unit cost.



The diameter of a circle is 7 m. Find the circumference to the nearest tenth

Answers

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

[tex]C = \pi d = 3.14 \times 7 \\ \\ C= 21.98 \: m\\ \\ C \approx 22.0 \: m[/tex]

in a survey 3 out of 5 people preferred rice to noodles if 75 people were surveyed how many preferrd rice

Answers

The answer is 45/75 because it is equal to 3/5

Stan has a rectangular piece of carpet with an area of 23.4 square meters. The piece of carpet is 13 meters long. What is the width of the piece of carpet?

Answers

Answer:

The breadth of rectangular carpet is 1.8 m.

Step-by-step explanation:

We have,

The area of rectangular carpet that is 23.4 m²The length of carpet is 13 m.

We know that,

= Area of rectangle = Length × Breadth

= 23.4 = 13 × Breadth

= 23.4/13 = Breadth

= 234/130 = Breadth

= 1.8 m = Breadth

__________________________

PLEASE HELP I AM SO STUCK. IT IS DUE ~TOMORROW.

Answers

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Please help a girl out I'm so confused

Answers

Answer:

Girl what kind of MATH IS THISSSSS

Step-by-step explanation:

Answer:

Step-by-step explanation:

It appears that the first column is 10(10) and 6(10)

the third column has 6(6) so perhaps top square is 6(10)=60

14. If sin(35) = cos(x), what is x?

Answers

Answer:

x = 55

Step-by-step explanation:

Using the cofunction identity

sin35 = cos(90 - 35) = cos55

Please help me simplify the equation.

Answers

Answer:

9e^-10x

Step-by-step explanation:

that's the simplified answer

What is the sum of
-2/9 + 5/9

Answers

Answer:

3/9 i think

Step-by-step explanation:

The answer is 3/10,

Another way to see the equation is -2 divided by 9, plus 5 divided by 9.
You divide each sides of the equation first, then you add the answers. One you have your answer as a decimal turn it into a fraction.

A rectangular prism and it’s dimensions are shown in the diagram. What is the total surface are of the rectangular prism in square feet?

Answers

Answer:78.5

Step-by-step explanation:

The total surface area of the rectangular prism shown is 78.5 feet².

What is Rectangular Prism?

Rectangular prism is a three dimensional shape which consist of six faces. The two faces are at the top and bottom and the other faces are lateral faces.

The surface area of a rectangular prism can be calculated as,

Surface area = 2 (lw + wh + lh)

Here l is the length, w is the width and h is the height of the rectangle.

From the figure,

l = 4.5 feet

w = 4 feet

h = 2.5 feet

Surface area = 2 [ (4.5 × 4) + (4 × 2.5) + (4.5 × 2.5)]

                     = 2 [18 + 10 + 11.25]

                     = 2 × 39.25

                     = 78.5 feet²

Hence the surface area is 78.5 feet².

Learn more about Rectangular Prism here :

https://brainly.com/question/21308574

#SPJ3

Write a polynomial in standard form that represents the area of the shaded region.

Answers

Answer:

[tex]A=p^2-2p-3[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base is p + 1 and the height is 2p - 6. Therefore:

[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]

Simplify the second term:

[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]

Distribute:

[tex]A=p(p-3)+1(p-3)[/tex]

Distribute:

[tex]A=p^2-3p+p-3[/tex]

Combine like terms:

[tex]A=p^2-2p-3[/tex]

7x 1 1/5 enter answer as a mixed number

Answers

The answer is

[tex]8 \frac{2}{5} [/tex]

The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 190 seconds to boil 2.1 litres of water.
Work out how long it takes (to the nearest second) to boil 2.5 litres.

Answers

Answer:

4 minutes

Step-by-step explanation:

75%of 124 is what number

Answers

Answer:

75% of 124 is 93

Step-by-step explanation:

  124 * 75%

= 124 * [tex]\frac{3}{4}[/tex]

= 31 * 3

= 93

Answer:

93

Step-by-step explanation:

75 / 100 x 124 = X

9300/ 100  = x

x = 93

Can you make a math equation turn from + to x with the same numbers and get the same answer but the numbers dont have to be in the same order

Answers

Answer:

See explanations below

Step-by-step explanation:

Let the numbers be 2 and 2

Taking the sum using the plus(+) sign

2 + 2 = 4

Taking the product using the multiplication sign (×)

2×2 = 4

You can see that the answer to both expression are equal even by changing the sign from + to × that is;

2+2 = 2×2 = 4

plzz help ASAPPPP
i need answers right now!!1

Answers

Answer:

ydyeheuuru u ieuegeoeororpe

What is the value of the expression? 18 - 2 x (4 + 3)

Answers

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

Answer:

112

Step-by-step explanation:

so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer

PLEASE SOLVE ASAP!
Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. Write an algebraic expression that can be used to find the amount of money Ms Liu will have left if she buys any number of bags of popcorn (p), and any number of bottles of water (w).

Solve the blanks.
The algebraic expression _____ represents the amount of money Ms. Liu will have left if she buys any number of bags of popcorn and bottles of water.

Ms Liu will have $____ left if she buys 3 bags of popcorn and 4 bottles of water.

Answers

part 1: 8p + 3w = 40

part 2: $4 left

this is area of shaded region and i really need your help pls...

Answers

Answer:

4925cm^2

Step-by-step explanation:

whole thing - small thing = shaded

small = 25 x 25 = 625

whole thing = a+b / 2 x h     =    111+111/2 x 50 = 5550

5550-625= 4925cm^2

( Please help me on this question, thank you, <3 )

....................................................................................................................
Which number line can be used to find the distance between (4, –1) and (8, –1)?


A.) A number line going from negative 2 to positive 8 in increments of 1. Points are at 4 and 8.


B.) A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 4.


C.)A number line going from negative 2 to positive 8 in increments of 1. Points are at negative 1 and positive 8.


D.) A number line going from negative 8 to positive 2 in increments of 1. Points are at negative 8 and negative 4.

............................................................................................................................................

A lot of people were saying it's C, or A, or even B. Please try to answer this question if you can, thank you again, <3

Answers

Answer:

A. I got it from edge

Step-by-step explanation:

Also give the person above brainliest

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