Hector solves and equation by subtracting 8 from both sides of the equation. Then he multiples both sides of the equation by 3. The result is m=15. What was the original equation? How do you know?

Answers

Answer 1

Given:

The result is [tex]m=15[/tex].

To find:

The original equation.

Solution:

We need to apply the opposite operations from bottom to top in the resultant equation to get the original equation.

It means opposite operation of last operation will be applied first.

We have,

[tex]m=15[/tex]

Divide both sides by 3.

[tex]\dfrac{m}{3}=5[/tex]

Add 8 on both sides.

[tex]\dfrac{m}{3}+8=5+8[/tex]

[tex]\dfrac{m}{3}+8=13[/tex]

Therefore, the original equation is [tex]\dfrac{m}{3}+8=13[/tex].


Related Questions


10. Which of the following is equivalent to 432 X 15? Oh

Answers

Answer:

The answer is 6,480 if im correct

HELP QUICK NEED DONE BEFORE MIDNIGHT​

Answers

Your answer will be 52 square units 22 on top and bottom and 4 in the middle on the sides

Answer:

52 square units

Step-by-step explanation:

The big area (include red squares) is: [tex]6\cdot 11=66[/tex] square units

The small area (only red squares) is: [tex]2\cdot 7=14[/tex] square units

The area shaded in yellow is obtained by subtracting the small area from the big area: [tex]66-14=52[/tex] square units

The temperature on Wednesday evening was -5° Fahrenheit. The temperature decreased another 8° throughout the night. What was the temperature on Thursday morning? Justify your reasoning.

Answers

Answer:

The temperature on Thursday morning would be -13° Fahrenheit

Step-by-step explanation:

We start off with -5. In our situation the temperature DECREASES by 8 which means we must subtract.

-5 - 8 = -13

1) During second period, Jakhari completed a grammar worksheet. Of the 44
questions, Jakhari got 75% right. How many questions did Jakhari get right
known

Answers

Answer:

33

Step-by-step explanation:

75% is 3/4. 3/4 of 44 is 33.

Larry Mitchell invested part of his advance at annual simple interest and the rest at annual simple interest. If his total yearly interest from both accounts was ​, find the amount invested at each rate. The amount invested at is ​$ nothing. The amount invested at is ​$ nothing.

Answers

Complete question :

Larry Mitchell invested part of his $32000 advance at 4% annual simple interest and the rest at 9% annual simple interest. If his total yearly interest from both accounts was ​2430, find the amount invested at each rate. The amount invested at is ​$ nothing. The amount invested at is ​$ nothing.

Answer:

Investment at 4% = $9000

Investment at 9% = $23,000

Step-by-step explanation:

Given that :

Total investment = 32000

Let;

amount invested at 4% = a

amount invested at 9% = 32000 - a

Total interest earned = 2430

Simple interest = principal * rate * time

Investment at 4%:

(a * 0.04) + [(32000 - a) * 0.09] = 2430

0.04a + 2880 - 0.09a= 2430

-0.05a + 2880 = 2430

-0.05a = 2430 - 2880

-0.05a = - 450

a = 9000

Hence,

Investment at 4% = $9000

Investment at 9% = $32,000 - $9000 = $23,000

Use the original price and the markup to find the retail price.
Original price: $32; Markup: 7.5%

Answers

Answer:

$36 is the retail price

A rectangular tank has dimensions 4.5cm by 6cm by 8cm.it is filled with water to the brim,if 58m of water is used how much water is left in the tank?

Answers

Answer:

158m3

Step-by-step explanation:

find the volume which is l×w×h

4.5×6×8=216m3-58=158m3

Where is (-2.5, -2) located on the coordinate plane?

Answers

Answer: It is located in quadrant III (3) of the coordinat plain

Step-by-step explanation:

You can use the negative numbers to find their placement. if there are no negative numbers, it’s in quadrant I (1). If there‘s a negative number for the Y-coordinate, then it’s in quadrant II (2). If there are 2 negative numbers, it’s in quadrant III (3). And if there’s a Negative number for the X-coordinate, it’s in quadrant IV (4).

Solve by eliminating the fraction:
9+3/4x=7/8-10

Answers

Answer:

Exact form: [tex]\frac{-145}{6}[/tex]

Decimal form: -26.16

Mixed-number form: -24 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

hope this helps :)

Answer:

sxdcgfvhnjk

Step-by-step explanation:

Work out the answers to:
a) 4-7
b) (-3) + 8
c) 9-11
d) (-2) -4

Answers

Answer:

-3, 5, -2, and 2

Step-by-step explanation:

4-7 is like 7-4 and the answer you get you add a negative sign

-3+8. On a number line its 5, you move to the right because its adding, and get 5.

9-11, again on a number line, this time move to the left, because subtraction, and get -2

-2-(-4). On a number line, start at -2. Move 4 to the left, subtraction, and get -6

Answer:

the last one is wrong on their one so the correct answer is -6

Step-by-step explanation:

Calculate each of the following segment lengths given the diagram below.

Answers

In order the line lengths are, 6, 12, 6, 9, and 21.

One group who studies milk says about 70 percent of milk purchased in schools is flavored. Let's say that a school sells 290 cartons of milk at lunch time. According to the group, how many of those cartons likely contain flavored milk?

Answers

290*70% = 203 cartons of flavored milk

Please help !!! I suck at math

Answers

Answer:

IT'S C   pls like

Step-by-step explanation:

Lin’s father is paying for a $20 meal. He has a 15%-off coupon for the meal.



a. What is the price for the meal?

Answers

Answer:

$17

Step-by-step explanation:

15×20=300

300÷100=3

20-3=17

Answer:

The bill would be $17

Step-by-step explanation:

Select the correct answer.
Which equation represents the line that is perpendicular to y=1/5 and passes through (-4,-3)?

A. x= -4
B. x= -3
C. y= -5
D. y= -3

Answers

Answer:

The required line's equation is x=-4. Option A.

Step-by-step explanation:

This is more conceptual than a numerical problem.

We have the line y=1/5 and want to find a perpendicular line that passes through (4,-3).

The line y=1/5 is a horizontal line with slope 0. The perpendicular line would have an infinity slope and it would make it impossible to use the regular procedure to find it.

Instead, we realize that a perpendicular line to a horizontal line is a vertical line.

All vertical lines have the equation x = h, where h is the x-component of the point it passes through.

Now we only have to see the x-component of the point (-4,-3) and write our solution:

The required line's equation is x=-4. Option A.

Answer: A. x= -4

Step-by-step explanation:


Complete to solve 73+17.

Answers

Answer:

90

Step-by-step explanation:

The answer is 73+17= 90



Hope it helps

supercalifragilisticexpialidocious and the meaning of life
correlation?
yes.​

Answers

yes i can 100% agree with you
most definitely even thought it might sound quite atrocious

i need help please :))

Answers

the answer is -1 ≤ x ≤ 7


Ferdinand Freight Company charges a flat rate of $200 plus $0.75 per pound to transport freight in
the metro area. This cost is represented by the function below where w is the weight of the freight
in pounds and c(w) is the cost given the weight of the freight
c(w) = 200+ 0.750

Answers

Answer:

$1325

Step-by-step explanation:

c(w) = 200 + 0.75w

c(1500) = 200 + 0.75(1500)

c(1500) = 200 + 1125

c(1500) = 1325

plz someone help me

Answers

Answer:

9is the answer..........

Step-by-step explanation:

plz mark me as brainlist

Answer:

1.2

Step-by-step explanation:

what is the reflection of (0,3) over the x axis​

Answers

Answer:

ihkfdrjnhgbunt ui hvi8thugh ugood job :3

Step-by-step explanation:

9. A line passes through (-4,-6) and (4, 10). What is the slope?​

Answers

Answer: the slope is 2 :)

Step-by-step explanation:

answer:

2

Step-by-step explanation:

-4 | 4

-6 | 10

-4 to 4 is 8

-6 to 10 is 16

(usually add the two together to get your answer)

chilling with 20 points anyone who puts a funny story in there answer will get brainliest

Answers

Once, I was in the store with my little sister and she fell and we both started to laugh. Then this one dude saw her and helped her and she stopped laughing and when he left, she started laughing and then farted while the cute boy was still in our aisle. So we took off running and laughing.

Evaluate and solve for the variable and show your work please.
x – 7 = 4 + 10

12 – c = 8

–4 – 10 = 4y + 3y

–42 + 20 = –2x + 13x

Answers

x=21
c=4
x=-2
I have attached the worked out problems as well hope it helps!

x – 7 = 4 + 10 (x=21)

x−7=4+10

x+−7=4+10

x−7=(4+10)(Combine Like Terms)

x−7=14

x−7=14

Step 2: Add 7 to both sides.

x−7+7=14+7

x=21

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

12−c=8  (c=4)

12+−c=8

−c+12=8

Step 2: Subtract 12 from both sides.

−c+12−12=8−12

−c=−4

Step 3: Divide both sides by -1.

−c

−1

=

−4

−1

c=4

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

−4−10=4y+3y (y=−2)

−4+−10=4y+3y

(−4+−10)=(4y+3y)(Combine Like Terms)

−14=7y

−14=7y

Step 2: Flip the equation.

7y=−14

Step 3: Divide both sides by 7.

7y

7

=

−14

7

y=−2

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

-42=20=-2=13x (x=−2

Simplifying

-42 + 20 = 2x + 13x

Combine like terms: -42 + 20 = -22

-22 = 2x + 13x

Combine like terms: 2x + 13x = 15x

-22 = 15x

Solving

-22 = 15x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-15x' to each side of the equation.

-22 + -15x = 15x + -15x

Combine like terms: 15x + -15x = 0

-22 + -15x = 0

Add '22' to each side of the equation.

-22 + 22 + -15x = 0 + 22

Combine like terms: -22 + 22 = 0

0 + -15x = 0 + 22

-15x = 0 + 22

Combine like terms: 0 + 22 = 22

-15x = 22

Divide each side by '-15'.

x = -1.466666667

Simplifying

x = -1.466666667

helpp idk what to do

Answers

Answer:

your answer is 0101

Step-by-step explanation:

Answer:

the answer is 0101 (B)

The diagram shows three squares that are joined out of her to see to form a right triangle which statement is true

Answers

what? i'm gonna need more info to answer this.

Find the mean of these job salaries

Answers

Answer:

I dont see any numbers

Step-by-step explanation:

a lawn care company charges an initial fee of 15$ and a $9 per hour to perform services. Write an equation to represent the cost )c) of the service as a function of horse (h). Explain in context the meaning of c(3) = 42

Answers

Answer:

see below

Step-by-step explanation:

The cost to care care for the lawn in terms of h hours is

c(h) = 15 + 9h  where h is the number of hours

c(3) means that for 3 hours the cost is 42 dollars

1. K + 12 > 20, if k = 15
true or false

Answers

Answer:

true

Step-by-step explanation:

HELP ME, PLEASE. 100 POINTS
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

[tex] \huge \boxed{ \boxed{ \tt x = 2}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex][tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex] [tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]

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