4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Answers

Answer 1

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Distribute:                                   36 - 4.5x + 36 = 102 - 7.5x - 60Combine like terms:                   -4.5x + 72 = -7.5x + 42Add 7.5x on both sides:             3x + 72 = 42Subtract 72 on both sides:        3x = -30Divide 3 on both sides:              x = -10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)Simplify:                               4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)Multiply:                               4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)Add:                                     4.5(18) + 36 = 102 - 2.5(-6)Multiply:                               81 + 36 = 102 + 15Add:                                     117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.


Related Questions

Please help!



What is 7% of 600

Answers

Answer:

42

Step-by-step explanation:

Hope this helps

Which equation is true for the value b= 10?
O A.
2(b + 4) = 16
O B.
2(b + 2) = 40
O C.
3(b- 2) = 24
OD
2(8 + b) = 42
OE.
3(b - 4) = 20

Answers

The answer to the question is D

Answer: C. 3(b-2)=24

Step-by-step explanation: See since b equals ten and by the rules of P.E.M.D.A.S the parenthesis/brackets comes first so 10-2 equals 8 and three times 8 is 24 therefore the answer is 24

the price of 6 pretzels is 5.10$. Simon and Sofia bought 8 pretzels and shared the cost equally. how much did each person pay

Answers

Answer:

Simon and Sophia payed $3.40 each.

Step-by-step explanation:

5.10/6= 0.85

0.85 dollars per pretzel.

0.85*8= 6.8

Simon and Sophia payed $6.80 together.

6.80/2= 3.4

Simon and Sophia payed $3.40 each.

Answer:

They each pay $3.40.

Step-by-step explanation:

I took 6 and divided $5.10 into 6 to get the cost per pretzel. Then, I multiplied the cost of one pretzel by 8, and divided by two to evenly split the cost between Simon and Sofia. Hope this helps!!

Please help me hahahhahahhahahhhhhhshshs can

Answers

Answer:

The slope of this line is -2/3x.

Step-by-step explanation:

The slope can be found by getting x1 and y1 (0,3) and x2 and y2 (3,1). Once you have these you would do y2 - y1 / x2 - x1.

And the equation then is

1 - 3 / 3 - 0.  After simplifying this you get -2/3.

-2/3 minus (-4/6)=

Answers

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[tex] - \frac{2}{3} - ( - \frac{4}{6} ) = \\ [/tex]

[tex] - \frac{2}{3} + \frac{4}{6} = \\ [/tex]

[tex] - \frac{2}{3} + \frac{2 \times 2}{2 \times 3} = \\ [/tex]

[tex] - \frac{2}{3} + \frac{2}{3} = 0\\ [/tex]

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Convert 0.067 km to mm

Answers

Answer:

67000

Step-by-step explanation:

just multiply by 1000000

please answer!! THIS IS ALL THE POINTS I HAVE LEFT SINCE NOBODY IS ANSWERING MY OTHER QUESTIONS :(
~~~~~~~~~~~~~

Answers

Answer:

The height of the parallelogram relates to the height of the circle because it is equal to the radius of the circle. The height goes from the circumference to the point of any section of the circle. I hope this helps.

Step-by-step explanation:

Answer: Well I will try to answer it

Step-by-step explanation:

A. I would say that the height of the base of the parallelogram its related to the circle since the base have the SAME shape of the circle. The height goes from the circumference to the point of any section of the circle and the radius well, it's the same.

B. I'm not so sure sorry

Solve this equation. Enter your answer in the box.

–24 + 12d = 2(d – 3) + 22

Answers

Answer: The answer should be 4. So it should be written as d = 4. You answer this equation by removing the parentheses, calculating, moving the terms, collect the like terms and calculate some more, then finally divide both sides. Hope this helps!

Write 0.272727272727273 as a fraction in simplest form

Answers

Answer:

27/100?

Step-by-step explanation:

What is the slope of the line that passes through the points (7,−6) and (4, -6) ? Write your answer in simplest form.

Answers

the answer is m = 0. i hope this helps-

What is 11712.60 rounded off to 2 significant figures??

Answers

Answer:

12000

Step-by-step explanation:

In the figure, m<2 = 44. What is the measure of <1?

Answers

Answer:

m∠1 = 112°

Step-by-step explanation:

To solve for m∠1, we need to find the supplementary angle and subtract from 180°.  We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.

Therefore m∠2 + x + x = 180; combine x's

m∠2 + 2x = 180; substitute m∠2 = 44°

44 + 2x = 180; subtract 44 from both sides

2x = 136; divide by 2

x = 68°

Therefore using the supplementary angle

x + m∠1 = 180 (because it is supplementary)

68 + m∠1 = 180; subtract 68 from both sides

m∠1 = 112°

HELP ASAP WILL MARK BRAINLIEST UTS DUE IN 5!!!
Find the slope of the line.

O -2/5
O 2/5
O 5/2
O None of the above

Answers

Answer: 2/5

Step-by-step explanation:

7 + 5x = 2x + 25
step by step pls:(

Answers

Answer:

x = 6

Step-by-step explanation:

7 + 5x = 2x + 25

first subtract 7 from both sides to isolate 5x on the left

5x = 2x + 18

then subtract 2x from both sides to isolate all of the x terms to one side

3x = 18

then divide 18 by 3 to solve for x

x = 6

hope this helped!! :)

Answer:

i got you, i wrote it out and all gimme brilliantness

Step-by-step explanation:

The volume of a cube can be written as a function of its edge length, V(x) = x^3. Which is a correct interpretation of V(2x)?
(A) The volume of a cube doubles when its edge length doubles.
B) The volume of a cube increases by a factor of 4 when its edge length doubles.
©
The volume of a cube increases by a factor of 6 when its edge length doubles.
D The volume of a cube increases by a factor of 8 when its edge length doubles.

Answers

Answer:

D The volume of a cube increases by a factor of 8 when its edge length doubles

Step-by-step explanation:

Volume of a cube is represented by the function

[tex]V(x)=x^3[/tex]

where [tex]x[/tex] represents the edge length of the cube

Now when [tex]x=2x[/tex] i.e., when the edge length is doubled we have

[tex]V(2x)=(2x)^3\\\Rightarrow V(2x)=8x^3\\\Rightarrow V(2x)=8(V(x))[/tex]

It can be seen that the volume of the cube increased by 8 times when edge length doubles.

Answer:

the answer is d

Step-by-step explanation:

What is -5.1 – 6.2=?

Answers

Answer:

It is -11.3

Step-by-step explanation: Hope this help :)

Answer:

11.3or 1.1

Step-by-step explanation:

Tim has 4 cheese sandwiches, 3 turkey sandwiches, and 2 tuna sandwiches to choose from. He picks two sandwiches at random, one at a
time, without replacing them. What is the probability that Tim picks a cheese sandwich first and a tuna sandwich second?
A) 1/9
B) 1/3
C) 2/3
D) 3/4

Answers

Answer:

C 2/3

Step-by-step explanation:

this is because there are three different types of sandwiches and he picks two out of the three.

If g (x) = 3x – 2, find g (8) – g(-5)

Answers

Answer:

I hope this helps you with your question

Please tell me the answer

Answers

Answer:

(-∞,∞) Bottom answer

I hope this helps you with your algebra

Answer:

Infinity

Step-by-step explanation:

Give brainiest to the other guy/girl they deserve it!!

(Hope dis helps!!!)

A 150-foot fence encloses a garden.What is the length of each side of the garden.

Answers

Answer:

15 ft 45 ft 30 ft 60 ft

Step-by-step explanation:

Write the equation in slope-intercept form 2x−8y=24

Answers

Answer:

y=1/4x - 3

Step-by-step explanation:

Answer:

[tex]y=\frac{1}{4}x-3[/tex]

Step-by-step explanation:

what is 20 percent of 140

Answers

Answer:

28

gotta divide

Step-by-step explanation:

Charles Beaudry sells computer hardware for a computer firm. He is paid 4 percent commission on the first $8,000 of sales, 6 percent on the next $10,000 of sales, and 8 percent on sales over $18,000. What is his commission of $21,278 in sales?

Answers

As i don't want this to be to long

We break it down so

$8000 x 4% = $320

$10000 x 6% = $600

$8000 + $10000 = $18000

$24550-$18000 = $6550 x 8% = $524

Final answer

$320+$600+$524 = $1,444

Solve for y
6 = 4x + 9y

Answers

Answer:

y=.44-.66

Step-by-step explanation:

hope this helps not 100 percent sure let me know in the comments.

Look at the picture for the answer (:

Which expression is equivalent to (4n³p)²(2n²p⁴)³?
a. 128n³⁶p²⁴
b.48n¹²p¹⁴
c.128n¹²p¹⁴
d.48n³⁶p²⁴​

Answers

Answer:

C: 128n¹²p¹⁴

Step-by-step explanation:

I plugged this into my TI-89 calculator and got this answer. Let me know if you need the step by step explanation and I'll be more than happy to hand-solve it for you!

can someone please help me with math
-please and thanks.

Answers

Answer:

x(x+6)

which is 2

Step-by-step explanation:

Im new can u pls mark me brainliest

Find an equation for the line below.
8-
0
Check

Answers

Answer:

okay so the equation for the line could be writen in y=mx+b form

Step-by-step explanation:

y = [tex]\frac{9}{5}x + \frac{21}{5}[/tex]

An open rectangular cistern when measured from outside is 1.35 metre long 1.08 metre board and 90 cm It is made up of iron which is 2.5 cm find the capacity of the question and the volume of the iron used.​

Answers

Answer:

The capacity of the cistern is [tex]1.2231~m^3[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

Step-by-step explanation:

Volume

The volume of a rectangular box of dimensions x,y,z is given by:

V = x.y.z

The external dimensions of the rectangular cistern are 1.35 m, 1.08 m, and 0.90 m, thus the external volume is:

[tex]V_e=1.35*1.08*0.90=1.3122~m^3[/tex]

The cistern is made of iron 2.5 cm= 0.025 thick, thus the internal dimensions are:

1.35 - 0.025 = 1.325 m

1.08 - 0.025 = 1.055 m

0.90 - 0.025 = 0.875 m

The internal volume is:

[tex]V_i=1.325*1.055*0.875[/tex]

[tex]V_i=1.2231~m^3[/tex]

The capacity of the cistern is 1.2231~m^3

The volume of iron used is the difference between the external and the internal volumes:

[tex]V_{iron}=1.3122~m^3-1.2231~m^3[/tex]

[tex]V_{iron}=0.0891~m^3=89.1~lt[/tex]

The volume of iron used is [tex]0.0891~m^3[/tex]

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Thanks to autotune
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Not for long
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It only goes downhill
We gotta make the most of it! Make the most of it!
Or you'll regret it
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We still die
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Until you die
We gotta make the most of it! Make the most of it
Because you'll die
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You'll never know the answer
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Natural disasters
It's good to be alive
You could wake up with cancer
But I'm healthy
Healthy people still get cancer
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It's the last episode
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It's going to explode
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Children have malaria thanks to mosquitoes
I met a cute girl with a ponytail
Statistically that relationship is going to fail
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Oh...
Well in that case...
We are young!
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We gotta make the most of it! Make the most of it!
We are young!
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We gotta make the most of it! Make the most of it!
Enjoy it while it lasts

Answers

Answer:

i forgot about it but ye its cool

Step-by-step explanation:

ooh I love life is fun it one of a good songs

NEED ANSWER ASAP!!!!
y=−x^2−2x+3
When is g(x) = 0?

Answers

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

Since g(x)=0, you input 0 into every x

[tex]y=-(0)^{2} -2(0)+3[/tex]

Which then becomes:

[tex]y=0+3[/tex]

Take out the 0 and there's your answer

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