Evaluate the expression below using the properties of operations. Show your steps to receive full credit. −36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6

Answers

Answer 1

Answer:

(-162)/7 or -23 1/7 as a mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer: (-162)/7


Related Questions

Please help if you can

Answers

Answer:

the first choose

Step-by-step explanation:

becouse m(ABC) =m(CDE)m(ACB) = m(ECD) Vertical obejet angleso n=m(CED)

If the principle is $200 and the interest rate is 4%

Answers

4% of $200 is $8. So I don’t think you finish the question, so I assume the interest rate is increasing by months. If that’s true then the $8 is added each month.

Create your own literal equation that contains distribution, addition/subtraetion, division, and at least 4 variables. Then chose a variable and solve your equation for it.​

Answers

Answer:A combination of variables, numbers, and at least one operation.

Example: x+4

Step-by-step explanation:

solve: 4(x+1)= -3x-10
SHOW WORK!!!!
WILL MARK BRAINLIEST

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

x = -2

▹ Step-by-Step Explanation

4(x + 1) = -3x - 10

Distribute 4:

4x + 4 = -3x - 10

4x + 3x

Move the terms:

4x + 3x + 4 = -10

Collect like terms:

7x = -10 - 4

7x = -14

FINAL ANSWER:

x = -2

Hope this helps!

CloutAnswers ❁

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How do you solve a perpendicular equation? ​

Answers

Step-by-step explanation:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

Find the slope:
A.3/5
B.5/3
C-3/5
D.-5/3

Answers

Answer:

The slope of the line is  [tex]\frac{-5}{3}[/tex] ⇒ D.

Step-by-step explanation:

The rule of the slope of a line is

m =  [tex]\frac{y2-y1}{x2-x1}[/tex]  (x1, y1) and (x2, y2) are two points lie on the line

Use the given figure to find two points on the line

→ From the given figure

∵ The line passes through points (0, 2) and (3, -3)

x1 = 0 and y1 = 2

x2 = 3 and y2 = -3

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-3-2}{3-0}=\frac{-5}{3}[/tex]

∴ m = [tex]\frac{-5}{3}[/tex]

The slope of the line is  [tex]\frac{-5}{3}[/tex]

Your internet provider offers two different plans. One plan costs $.02 per email
plus a $9 monthly service charge. The other plan costs $.05 per email with no
service charge.
a. Write a system of equations to model the cost of the two internet plans.
b. For how many email messages will both plans cost the same?
c. If you send and receive about 500 email messages per month, which plan
should you use?

Answers

a.) y= 0.2x + 9 and y= 0.5x

b.) 30 emails

c.) the first plan

Step-by-step explanation:

a.) cost per email is a variable

b.) graph and find intersection of the lines

c.) plug in 500 for x in both equations

The number of email messages where both plans will cost the same will be 300 messages.

The system of equations to model the cost of the two internet plans based on the information given will be:

Internet provider 1 = 9 + 0.02m

Internet provider 2 = 0.05m

where m = number of mails

The number of email messages where both plans will cost the same will be:

9 + 0.02m = 0.05m

Collect like terms

0.05m - 0.02m = 9

0.03m = 9

m = 9/0.03

m = 300

When there's 500 messages for the month, the cost for each plan will be:

Internet provider 1 = 9 + 0.02m

= 9 + 0.02(500)

= 9 + 10

= 19

Internet provider 2 = 0.05m

= 0.05(500)

= 25

Therefore, based on the calculation, the first plan is cheaper.

Read related link on:

https://brainly.com/question/14701709

the double number line show the ratio of feet to miles
how many feet are in 3 miles​

Answers

There are 15,840 feet in 3 miles
how many feet are in 3 miles?
answer: 15, 840

here is a list of number
51 38 48 36 39 40 39 47​

Answers

Answer:

mode is 39

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

HELP I NEED THIS ANSWER ASAP OR I FAIL
PLEASE

Answers

Answer: A

Step-by-step explanation:

145 over 1000 in simplest form

Answers

29/200. 145 / 5 = 29, and 1000 / 5 = 200. 29 is a prime, so that's the lowest you can go: 29/200.

Select the graph that would represent the best presentation of the solution set.

l2x-6l>10

Answers

Answer:

[-2,8]

Step-by-step explanation:

Answer:

Fifth option

Step-by-step explanation:

Simplify the solution set, so it now looks like this: -2 < x < 8Look for the graph that looks the most like the simplified solution set. The fifth option has both numbers that's in the solution set, -2 and 8. Therefore, it is correct. It's also in the order on the number line that the solution set is in, so that's another way I know it's correct.

8x = 10x + 20


Could you guys explain as well?

Answers

Answer:

x= -10

Step-by-step explanation:

-8x+10x+20=0

2x+20=0

2x=0-20

2x=-20

x=-20/2

x= -10

Answer:

x = -10

Step-by-step explanation:

8x (-10x)= 10x +20 (-10x)

subtract 10x from both sides of the equation

-2x/-2 = 20/-2

divide both sides by -2

x = -10

The cost to rent a construction crane is $1200 per day plus $150 per oh use. Your budget for one-day crane rental is a most $3600

Answers

1200 + 150 = 1350 (if one day and one use)

Budget is 3600

We can use the crane 16 times

Explanation:

Budget is 3600 and 1200 + 150 (16) = 3600

Solve 6kx = 4kx + 8 for x.
Start by collecting the variable terms on the same side of the equation.

What is the first step?

Answers

Answer:

x = 4k

Step-by-step explanation:

6kx = 4kx + 8

The first step in solving for x is to get both numbers with kx on the same side. Move the 4kx to the left side of the = by subtracting 4kx from each side.

2kx = 8

Next, move the 2k to the right side of the = by dividing both sides by 2k

x = 8/2k

The last thing to do is to simplify the equation by making the 8/2 to 4/1 or 4.

x = 4k

“Write an equation and solve for the unknown” I know it’s a lot but can someone help me with this

Answers

Answer:

g) x = 30

h) x = 30

i) m = 55

j) x = 24

k) k = 45

Step-by-step explanation:

G)

all angles of a triangle add up to 180.

the square in the bottom right of the triangle is 90 btw

2x + x + 90 = 180

3x + 90 = 180

3x + 90 - 90 = 180 - 90

3x = 180 - 90

3x = 90

3x/3 = 90/3

x = 30

H)

this is an Isosceles triangle.

that means the bottom two angles are equal.

75 + 75 + x = 180

x + 150 = 180

x + 150 - 150 = 180 - 150

x = 180 - 150

x = 30

I)

2m is supplementary to the bottom right angle of the triangle.

that means they add together to make 180.

80 + 30 + (180 - 2m) = 180

110 - 2m = 180 - 180

110 - 2m = 0

110 = 2m

110/2 = m

55 = m

J)

to save time I'm not going to write out the steps, its the same as the i.

2x + 3x + (180 - 120 ) = 180

5x + 60 = 180

5x = 180 - 60

5x = 120

x = 120/5

x = 24

K)

imagine this as a triangle and a square.

sorry I'm not sure how to explain this -.-

but the equation would be

k + k + 90 = 180

2k + 90 = 180

2k = 180 - 90

2k = 90

k = 45

L)

Im not sure how to solve this, I'm sorry :( hope you figure it out!

What is the slope of the line

Answers

Answer:

-1/2 is the slope

Step-by-step explanation:

this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x

Help needed ASAP will give brainliest and 5 stars rate not a test

Answers

Answer:

area square inches is less than 1.2

Step-by-step explanation:

Tina recorded these temperatures in one day:

Morning temperature: +8°F
Afternoon temperature: 0°F
Night temperature: −3°F

Which statement is correct based on the given measurements?

The morning temperature was 8 degrees above the night temperature.
The morning temperature was 8 degrees below the afternoon temperature.
The night temperature was 3 degrees below the afternoon temperature.
The night temperature was 3 degrees above the morning temperature.

Answers

Answer: the night temperature was 3 degrees below the afternoon temperature

Step-by-step explanation:

Evaluate 2x2 + 4 if x = 2

Answers

Answer:

x = 12

Step-by-step explanation:

insert 2 into the equation where x is.

2(2)2 + 4

so this is 2 * 2 * 2 + 4 = 12

2(x)2+4= 2x2x2+4= 12

10. State whether each statement is true or false.

Answers

Answer

False

True

False

->False
->True
->False

20% turned into a whole number

Answers

Answer:

0.2

Step-by-step explanation:

20/100= 2/10

2/10= 0.2

3(2x + 1) + 2(x + 3)​

Answers

Answer:

2)  Expand the distribution of terms.

6x+3+2x+6

3)  Collect the like terms.

(6x+2x)+(3+6)

4) simplify.

8x+9

if a = 4 and b=3, what is the value of (a+b) (a-b)​

Answers

Answer:

-7

Step-by-step explanation:

(4+3)x(4-3)

4+3=7

4-3=-1

7x-1= -7

Please help me find the answer
34=___

Answers

Answer:

34 divided by 2

Step-by-step explanation:

come onnnnnnnnnn

i need to know the answer to this, im not sure if i know it.

Answers

Answer:

Put a Greater than symbol >

Step-by-step explanation: That question is showing absolute value which is basically the amount it takes to get there from zero.

-5 with absolute value becomes a regular 5

Answer:

its >

Step-by-step explanation:

Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take her to save the money?

Answers

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

45-15 is 30.

30/5 is 6

Answer:

It will take her 6 weeks.

Step-by-step explanation:

$45-$15=$30

$30 ÷ $5 = 6

Darryl has $12 to spend on snacks after he buys his movie ticket.He buys a $6.50 popcorn.if he spends the rest of his money on $2.10 candy bar’s, how many bars can he buy ?

Answers

6.50 + 2.10x = 12
-6.50 on both sides
2.10x = 5.5
/2.10 on both sides
x = 2.6

Answer:
Darryl can buy 2 snacks.

physics convention 11 companies set up equal sized square booths in a row along one wall of a convention center.The booths are adjacent to each other and a 2-ft wide walkway surrounds the block of booths on three sides. The total area of the booths and walkway is 1200 ft^2. What is the side length of each booth?

Answers

Answer:

Side length of each booth is 8.35 ft approximately.

Step-by-step explanation:

There are 11 companies set up equal sized square booths in a row along one wall of a convention center.

Now, refer the diagram to answer the problem.

It is given area is 1200.

So, length x width =1200

(11x+24)(x+2)=1200

Multiply using FOIL method.

[tex]11x^{2}[/tex]+22x+24x+48=1200

[tex]11x^{2}[/tex]+46x+48-1200=0

[tex]11x^{2}[/tex]+46x-1152=0

Solve using quadratic formula

x=[tex]\frac{-46+/- \sqrt{46^{2}-4(11)(-1152 } }{2(11)}[/tex]

x=[tex]\frac{-46+/-\sqrt{2116+50688} }{22}[/tex]

x=[tex]\frac{-46+/-\sqrt{52804} }{22}[/tex]

Simplify it

[tex]x=\frac{-49+/- 229.79}{22}[/tex]

Simplify to get two values for x.

x=8.35; x=-12.67

Here negative does not work.

Side length of each booth is 8.35 ft.

help me solve this, cause me stuck

Answers

Answer:

[tex]4 \times 10 {}^{ - 4} [/tex]

Hopes it helps you.....

Thank you ☺️

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