What is the justification for step 3 in the solution process?

0.8a − 0.1a = a − 2.5
Step 1: 0.7a = a − 2.5
Step 2: -0.3a = -2.5
Step 3: a = 8.3

Answers

Answer 1

Answer:

value of a=8.333

Step-by-step explanation:

we take equation two and hence we divide both side by -0.3

hence

-2.5/-0.3

=8.333

Answer 2

Answer:

is letter A .the division property of equality

Step-by-step explanation:

Hope it help you!!


Related Questions

someone can help me for all the question ?

Answers

Answer:

1. 5

2. 3 adult tickets; 2 child tickets

3. See below

Step-by-step explanation:

1.

2 adult tickets cost 2 × $12 = $24

Subtract $24 from $64:

$64 - $24 = $40

Divide $40 by $8:

$40 ÷ $8 = 5

Answer: 5 child tickets

2.

x = number of adult tickets

y = number of child tickets

The total number of tickets is 5, so the first equation is:

x + y = 5

The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:

12x + 8y = 52

The system of equation is:

x + y = 5

12x + 8y = 52

Let's solve it by substitution.

Solve the first equation for x.

x = 5 - y

Now we substitute x in the second equation by 5 - y.

12(5 - y) + 8y = 52

Distribute:

60 - 12y + 8y = 52

Combine like terms on the left side:

-4y + 60 = 52

Subtract 60 from both sides:

-4y = -8

Divide both sides by 4.

y = 2

Substitute y = 2 in the first original equation and solve for x.

x + y = 5

x + 2 = 5

x = 3

Answer: 3 adult tickets; 2 child tickets

3.

The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.

We can also show his claim is false using a system of equations.

x + y = 7

12x + 8y = 71

Use substitution.

x = 7 - y

12(7 - y) + 8y = 71

84 - 12y + 8y = 71

84 - 4y = 71

-4y = -13

y = 3.25

This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.

Line segment EF is graphed on the coordinate plane below?



What is the length of EF? Record your answer to the nearest tenth of a unit.

Answers

EF= 7.6 units

a^2+b^2=c^2
7^2+3^2=c^2
49+9=c^2
58=c^2
sqrt58=sqrtc^2
7.6=c

Problem shown on the picture

Answers

Step-by-step explanation:

please answer those Questions Mathematics

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer: A

Step-by-step explanation:

Divide top and bottom by 4

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The simplest form of the fraction is simply finding a common number to divide both the numerator and denominator by.

4/8 , we can divide both sides by 4 since it's possible to do so.

[tex]\frac{4/4}{8/4}[/tex]

[[tex]\frac{1}{2}[/tex]]

A. is the simplest form

Hay algo que, aunque te pertenezca, la gente siempre lo utiliza más que tú. ¿Qué es?

Answers

Answer:

Respuesta: tu nombre  (Answer: your name)

Step-by-step explanation:

Korey and lan are arguing about how to find the perimeter of a rectangle. Korey says you should add the length and the width and then multiply the sum by 2. Ian says you should double both length and width and then add them together who is correct

Answers

I would say Korey because let’s say you have a rectangle and two sides are 2 and the other two sides are 5. Well if you add 5 + 2 which equals 7 times 2 equals 14, you get the same answer as you would if you added everything

Answer:

They are both right

Step-by-step explanation:

This is because you can do it either way.

For example, if you had a rectangle with the side length 10 and a width 5,

-Korey: you could add them to get 15 and them double them to get 30

or

-Ian: double both (5*2=10 and 10*2=20) and then add and 10+20 = 30

So they are the same

HELP I GIVE BRAINYEST The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A=8x -10^\circ}∠A=8x−10

start color #11accd, angle, A, equals, 8, x, minus, 10, degrees, end color #11accd \qquad \green{\angle B=3x + 90^\circ}∠B=3x+90

start color #28ae7b, angle, B, equals, 3, x, plus, 90, degrees, end color #28ae7b

Answers

Answer:

B = 150

Step-by-step explanation:

Since angles A and B are opposite interior angles, they are congruent.

8x - 10 = 3x + 90

8x - 3x = 90 + 10

5x = 100

x = 20

Now that we have the value of x, we have to solve for angle B.

B = 3x + 90

B = 3*20 + 90

B = 60 + 90

B = 150

Answer: the right answer on khan academy is 150° (with PROOF)

I need help. I will give 15 points for the answer.

Answers

Answer:

a) because all the angles of both of the triangle of equal and help by angle angle similarity criteria we can say that ∆ABCis similar to ∆PQRb) since ∆ABC~ ∆PQR[tex] \frac{ab}{ac} = \frac{pq}{pr} [/tex][tex] \frac{6}{ac } = \frac{18}{27} \\ ac = \frac{6 \times 27}{18 } \\ ac = 9cm[/tex]Hope it helps you<3

what is this equation 6x-4y=18 and -x-6y=7

Answers

Step-by-step explanation:

here you have answer.....

As the height of the cylinder increases, its volume decreases.

Which is the independent variable?

height or volume

Answers

Answer:

height is independent

Step-by-step explanation:

as you change the height, the volume changes accordingly.

in the diagram below, the value of y must be

Answers

Answer:

y = 45°

Step-by-step explanation:

4 sides = 360°

(2y+1)° + y° + 112° + 112° = 360°

2y + y = 360 - 112 - 112 - 1

3y = 135

y = 135÷3

= 45°

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the apprentice. If together they were $213, how much did he esrn

Answers

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

-----

since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

Plumber works 6 hoursHelper works 3 hours.

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

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

The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.

Answer:

mark other guy brainly, his answer is right, and he truly deserves it, he got expert verified

Step-by-step explanation:

There is a rectangle. The long side is 8.2cm the short side is 3.6cm. Find the area. (Include units)

Answers

Answer:

29.52cm sqauared

Step-by-step explanation:

length x width = area of rectangle

Answer: 29.52cm2

Step-by-step explanation:

8.2 times 3.6=...

find X
15x and 8x-2
i will give brainliest

Answers

Answer:

x = 4

Step-by-step explanation:

15x + 8x -2 = 90

23x - 2 = 90

23x = 90+2

23x = 92

92/23 = 4

check answer:

4 x 15 = 60

4 x 8 = 32

32-2=30

60+30=90

Answer:x=4

Step-by-step explanation: we know,

90 + 8x-2+15x=180

90+23x-2=180

88+23x=180

23x=180-88

x=92/23

x=4

in a all-area track meet 271 sprinters enter a 200-meter dash competition. the track has 7 lanes so only 7 sprinters can compete at a time. at the end of each race, the six non-winners are eliminated, and the winner will compete again in later race. How many races are needed to determine the champion sprinter?

Answers

The number of races needed to determine the champion sprinter = 39 races.

Calculation of number of races

The number of sprinters = 271

The number of sprinters per race= 7

The area to be covered for each race = 200m

For every race covered, a champion is selected and the rest is eliminated.

Therefore, to determine the remaining champion from 271 sprinters,

271/ 7 = 38.7

Which is approximately 39 races.

Learn more about meter here:

https://brainly.com/question/25092270

There is a $500 prize to share among them. Ms. Cardillo’s class brought in 3,107 pop can tabs. Ms. Camming’s class collectected 1,097 pop can tabs. Mr. Lucas’ class brought in 2,347 pop can tabs. How should they divide the money so that each class gets the same fraction of the prize money as the fraction of pop can tabs that they collected?

Answers


Hi! Hopefully this helps. The math is there.

What does the random variable for a binomial experiment of n trials measure?.

Answers

Answer:

What does the random variable for a binomial experiment of n trials measure? The random variable measures the number of successes out of n trials. ... A binomial experiment requires that the probability of success be the same for each trial. In an experiment, there are n independent trials.

Step-by-step explanation:

Please help will give most Brainly

Answers

So the point of A from the origin is 12ft to the right and 24ft up, or better still it’s at the point (4,8). Since the scale doubles to 6 ft, the coordinate will half. So 12 ft to the right is reflected over 2 to the right and 24ft up goes to 4 squares up because we divide it by 6ft for the scale. Doing this and plotting the point you’d get (2,4) which is half the original coordinate of A as I said it will be.

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!

Answers

Answer:

m∠3 = 55°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

apply whole angle measure equals to 360°

11x -7 + 5x - 5 + 11x -7 + 5x - 5 = 360

32x -24° = 360°

32x = 384°

x = 12°

Therefore

m∠3 = 5x - 5

m∠3 = 5(12) - 5

m∠3 = 55°

m<1 and m<2 are linear pairs

[tex]\\ \tt\hookrightarrow 11x-7+5x-5=180[/tex]

[tex]\\ \tt\hookrightarrow 16x-12=180[/tex]

[tex]\\ \tt\hookrightarrow 16x=192[/tex]

[tex]\\ \tt\hookrightarrow x=12[/tex]

<3=<2=5(12)-5=60-5=55°

4(n+6)+3n is greater than or equal to 3n-4

Answers

Answer:

7n+24 is greater than that 3n-4

Step-by-step explanation:

First Distributive Property

4(n+6)+3n

Combine like terms

4n +24+3n

7n+ 24

Explanation

7n+24 is greater than that 3n-4

Can someone help me with this please

Answers

Answer:

medium: 16large: 18

Step-by-step explanation:

Using the variable definitions shown, the two given relations are ...

  11 +x +y = 45 . . . . . . 45 total orders

  x = y -2 . . . . . . . . . . 2 fewer medium orders than large

__

Using the second equation, we can substitute for x in the first equation to solve this system:

  11 +(y -2) +y = 45

  2y = 36 . . . . . . . . . . collect terms and subtract 9 from both sides

  y = 18 . . . . . . . . . . . divide both sides by 2

  x = 18 -2 = 16 . . . . use the second equation to find the value of x

16 people ordered medium, and 18 people ordered large coffees.

If we multiply three consecutive integers and then add the middle number to the result, the answer is always the middle number cubed.

5 × 6 × 7 + 6 = 216 = 63

10 × 11 × 12 + 11 = 1331 = 113

15 × 16 × 17 + 16 = 4096 = 163

Use what you have learned in this lesson to write a third-degree polynomial expression in factored form and standard form that represents this pattern. Show that the factored form is equivalent to the expression written in standard form. Substitute three different values for the variable to prove this pattern works for other numbers.

Answers

Step-by-step explanation:

Let use have a interger,n

Thus three consectice intergers can be represented by

[tex]n[/tex]

[tex]n + 1[/tex]

[tex]n + 2[/tex]

Multiply, and we get

[tex]n(n + 1)(n + 2)[/tex]

[tex]n( {n}^{2} + 3n + 2)[/tex]

[tex]n {}^{3} + 3 {n}^{2} + 2n[/tex]

Then add the middle number, n+1.

[tex] {n}^{3} + 3n {}^{2} + 3n + 1[/tex]

We must prove that the middle number cubed = the equation.

Using the binomial theroem,

[tex](n + 1) {}^{3} = {n}^{3} + 3( {n}^{2} 1 {}^{1} ) + 3n( {1}^{2} ) + 1 {}^{3} [/tex]

[tex](n + 1 ){}^{3} = {n}^{3} + 3 {n}^{2} + 3n + 1[/tex]

So this is indeed true.

You can do the subsitue variables for n to prove it.

please help I will give brainlyest​

Answers

Answer:

See below.

Step-by-step explanation:

The answer is D. M and O are congruent, but that is not an option, so the focus goes towards M and N. M and N are similar, but are not congruent.

-hope it helps

Answer:

M and N are similar but not congruent.

Step-by-step explanation:

   

what are the domain and range of f(x)=2(x-8)-10

Answers

Answer:

Domain: All real numbers
Range: f(x) ≥ - 10

Step-by-step explanation:

I had the same test. Completed it and got it right.
Sorry for the lack of explanation, I can't put it into words at the moment.

Factorise x2 + 5x - 84

Answers

(x - 7)(x + 12)

Answer:

[tex] {x}^{2} + 5x - 84 \\ {x}^{2} + 12x - 7x - 84 \\ x(x + 12) - 7(x + 12) \\ (x - 7)(x + 12)[/tex]

What is the equation of the line of best fit that Pat drew?
OA.
y = -51 + 3
OB.
y = -5.7 + 7
O C.
Y =
* + 3
-Br
y = -x + 7
OD.

Answers

Answer:

B) y = -5x + 7

Step-by-step explanation:

Pick 2 points on the line:  (10, 5) and (15, 4)

slope = change in y ÷ change in x = (15 - 10) ÷ (4 - 5) = -5

from inspection, the y-intercept is (0, 7)

Therefore, using slope-intercept formula:  y = mx + b

(where m is the slope and b is the y-intercept)

y = -5x + 7

Write an equation of a line that is perpendicular to the line whose equation is
2y = 3x – 10 and passes through (–6, 1).

Answers

Answer:

point-slope form: [tex]y-1=\frac{-2}{3}(x+6)[/tex]

y-intercept form: [tex]y=\frac{-2}{3}x-3[/tex]

Step-by-step explanation:

hope this helps :)

What is the name of the platonic solid below

Answers

Took the test and it’s D

Answer:

the other person is wrong

Step-by-step explanation:

I looked it up and its HEXAHEDRON

Tetrahedron is a pyramid

Please help I will give Brainliest.

Answers

Answer:

$21,600

Step-by-step explanation:

h(x) = 5000 · (1.08)^4

5000 · 4.32

h(x)= 21,600

Answer:

$6802.44

Step-by-step explanation:

We will replace x with 4.

h(4) = 5000 · (1.08)^4

Use a calculator from here if you don't want stress.

1.08 x 1.08 x 1.08 x 1.08 = 1.36048896

1.36048896 x 5000 = 6802.4448

Since we are looking at the cost, we will approximate to the nearest hundredth.

6802.4448 ≈ 6802.44

The cost is $6802.44.

Write 5y^3 without exponents.

Answers

Answer:

can be written as  without exponent.

Given:

To find:

Write the given expression without exponent.

Solution:

Formula to be used:

Step 1:

Write the expanded form of given expression.

Step 2:

simplify

or

125×y×y×y without exponent.

Answer:

5 × y × y × y

Step-by-step explanation:

5y³ ( only y is being cubed with 5 a multiplier ) , so

= 5 × y × y × y

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