Simplify the following expression.

5.3x − 8.14 + 3.6x + 9.8

A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66

Answers

Answer 1

Answer:

D

Step-by-step explanation:

5.3x − 8.14 + 3.6x + 9.8

group the numbers on one side and the x's on the other

5.3x + 3.6x - 8.14 + 9.8

solve

8.9x +  1.66


Related Questions

Just the picture, Geometry.

Answers

The correct options are :-

Option (b) x + y = 180 Option (c) y = z Option (d) x + z = 180

Option b is correct because angle x and y will add up to 180° as they are a linear pair . Option c is correct because angle y and angle z are vertically opposite angles . Option D is correct because angle x and angle z are a linear pair .

On a sunny day, a streetlight that is 9 m
high casts a shadow that is 6 m long. At the
same time, a fence post casts a shadow that
is 2 m long. How tall is the fence post?

Answers

The fence post is 3m tall

Set up proportion 9/6 =2/x

You get

18=6x

Divide by 6

3=x

Boom

If this helped please mark branliest

The side lengths 4, 4, and 10 can form a triangle. True False

Answers

Answer:

false

Step-by-step explanation: ...

2.) What is the perimeter of a polygon with vertices at (-3, 1), (5, 1), (-3, 4), (5, 4)?

Answers

Answer:

33.1 units

Step-by-step explanation:

The formula to find the sides of an shape when given vertices is

= √(x2 - x1)² + (y2 - y1)²

When we have:(x1, y1) and (x2, y2)

(-3, 1), (5, 1), (-3, 4), (5, 4)

For (-3, 1), (5, 1)

= √(5 - (-3))² + (1 -1)²

= √8² + 0²

= √64

= 8 units

For (5, 1), (-3, 4)

= √(-3 - 5)² + (4 - 1)²

= √-8² + 3²

= √64 + 9

= √73 units

For (-3, 4), (5, 4)

= √(5 - (-3))² + (4 - 4)²

= √8² + 0²

= √64

= 8 units

For (-3, 1), (5, 4)

= √(-3 - 5)² + (4- 1)²

= √8² + 3²

= √64 + 9

= √ 73 units

Perimeter of the Polygon:

=( 8 + √73 + 8 + √73) units

= 33.088007491 units

≈ 33.1 units

A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that
the no. of months of an employee tenure in the factory is normally distributed with a standard deviation of 6
months, find the probability that a certain employee will stay:
a. More than 30 months
b. Less than 24 months
c. Between 24 to 48 months

Answers

Answer:

a) P [X ≥ 30 ] =  0,8413      or    84,13%

b)  P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 -  P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ      ⇒  z =  30 - 36 / 6

z = - 1

From z table we get for -1  

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 -  P [X < 30 ]  ⇒        P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] =  0,8413      or    84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24]  = 0,0228      or    2,28 %

c) P [ 24 < X < 48 ]    is  P[X ≤ 48] -  P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6      ⇒   z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ]   = 0,9772  - 0,0228

P [ 24 < X < 48 ]   =  0,9544     or   95,44%

Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.

Answers

Answer and explanation:

Please find answer and explanation attached

In other words it’s....?

Answers

Answer:

ummmmmwm whatttt

Step-by-step explanation:

vbbbbhh

isisbeheuevevehebebdudibdebbeudiduehehdidieuwgeudidueheehwiqoapaopwpwpwpiwuwjueieiw. Hope this helps!!

Add parentheses to make 6-9-2+3x6 equal to 17

Answers

Answer:

6-(9-2)+3x6

Step-by-step explanation:

hope it helps

Please help...

Solve using the method of your choice:
[tex]2 {x}^{2} + 3x - 2 = 0[/tex]

Answers

Answer:

x=½, -2

x= 0.5, -2

possibly im not perfect

Translate the following statement into an inequality. Use x as the variable.
A girl could spend at most $23 on a gift.
Choose the correct answer below.
A x < 23
B X323
C X>23
D x >223
-

Answers

A unless B is X < (with the line under) 23

-2[(-19 + - 5) + (3 - 7)] + -2 [(-12 - 2) -(4 - 6)]

Answers

Answer:

I got 80

Step-by-step explanation:

-2[-14+4]+2[-10-2]
-2-19+2-8
-2-21-8
11

Solve for x. -2x-4>8

Answers

Answer:

x<-6

Step-by-step explanation:

-2x-4>8

(move the constant to the right)

-2x > 8+ 4

(calculate)

-2x>12

(divide both sides)

x<-6

(your answer)

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.

Answers

Answer:

81

Step-by-step explanation:

Which of the following is the equivalent to the ratio 5:37
A 10:8
B 20:15
15:9
D 4:2

Answers

Answer:

Step-by-step explanation:

U would 22999+122.3939ading j. Till u wil go to the bathroom

CAN YOU HELP ME PLEASE

Answers

Answer:

just doing this for the gram

Step-by-step explanation:

say hi

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet

Given: (10,900) (20,1600)

Answers

Answer: 2nd choice on Ed

Step-by-step explanation:

Answer:

B

2400ft

Step-by-step explanation:

Select all the expressions that have a value of –8. A –2 + 6 B –4 + (–4) C 6 + (–14) D 11 + (–3) E 5 + 3

Answers

Answer:

B and C

Step-by-step explanation:

the answer is B and C because

on the basis of option A

-2+6=4 (not equal to -8)

on the basis of option B

-4+-4 =-4-4=-8 (=-8)

on the basis of option C

6+-14=6-14=-8 (=-8)

on the basis of option D

11-3 =8 (not equal to -8)

on the basis of option E

5+3=8 (not equal to -8)

HOPE YOU HAVE UNDERSTOOD

Greatest common factor of 36

Answers

Answer:

1,2,3,4,6,9,12,18, 36

Step-by-step explanation:

18 is the GCF of 36.

You can't multiply any other number with its 2 to be 36.

So 18 x 2 =36

please help me!! i’ll love you forever

Answers

The third one from the top so 2nd to bottom

Answer:

Option A

Step-by-step explanation:

Rearrange and simplify them

First we simplify

5.78 , -5.9 , 58%(58/100) or 5.8 , -5.75

Now we rearrange

-5.9 , -5.75 , 5.78 , 5.8

The larger the number in negative is the smallest.

So option A is the answer

Water flows back and forth between a small and large tank. When water is moving into a tank the flow rate is

positive, and when water is moving from a tank the flow rate is negative. The large tank begins with 300 gallons of

water, and the small tank begins with 200 gallons of water. After a period of 5 minutes, the large tank has the same

amount of water as the small tank. Which statement describes the flow rate?

The flow rate of the large tank is 10 gal/min, and the flow rate of the small tank is -10 gal/min.

O The flow rate of the large tank is -10 gal/min, and the flow rate of the small tank is 10 gal/min.

The flow rate of the large tank is 20 gal/min, and the flow rate of the small tank is -20 gal/min.

The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Save and Exit

Answers

Answer:

D. The flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min.

Step-by-step explanation:

Flow rate = [tex]\frac{gallons of water}{minute}[/tex]

flow rate of water in the big tank = [tex]\frac{300}{5}[/tex]

                         = 60 gallons/minute

flow rate in the smaller tank = [tex]\frac{200}{5}[/tex]

                          = 40 gallons/minute

The difference in flow rate between the tanks = 60 - 40

                          = 20 gallons/minute

Since the two tanks have the same amount of water after the given time, then the volume of water in the large tank decrease; while the volume of water in the small tank increased.

Therefore, the flow rate of the large tank is -20 gal/min, and the flow rate of the small tank is 20 gal/min. This shows that option D is correct.

Answer:

B

Step-by-step explanation:

took the quiz

Choose the fraction that goes in the blank 1/2< <4/5

Answers

Answer:

What are the answer choices?

Step-by-step explanation:

help please will mark brainliest ​

Answers

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

It’s step 2
Hope this helped ! :)

Write three expressions that are the equivalent of 5of 100, 000 , first as a numberthen in wordsfinally in scientific notation

Answers

Answer: 1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

Step-by-step explanation:

To express: 5 of 100, 000 in three expressions (First - number. second - word , third - scientific )

5 of 100, 000 = 5 x 100, 000 = 500, 000

In word - Five hundred thousand [ as place value of 5 =  hundred thousand]

In scientific notation, [tex]500, 000=5\times10^5[/tex]

Hence, the required expressions:

1) 500, 000

2) Five hundred thousand

3) [tex]5\times10^5[/tex]

The grocery store sells cantaloupes for $4.50 per pound. Write a function c to
represent the cost for the number of pounds of cantaloupes bought, p.

Answers

Answer:

the equation is c=4.50p

Step-by-step explanation:

2 divided by 7/6 in simplest form

Answers

exact form: 12/7

decimal form: 1.714285

mixed number form: 1 5/7

Evaluate the expression when b= 2.
12 - b =

Answers

Answer: 10

12-b

Substitute 2 in for b

12-2

Subtract

10

Answer:

Well, if b = 2, then 12 - b = 10

Step-by-step explanation:

hope this helps, lol! <3

What kind of sequence is this? 1, 8, 64, 512, ...
arithmetic, geometric, neither or both

Answers

Answer:

Geometric

Step-by-step explanation:

It has a consistent multiple-factor by which it increases (8).

What is the interquartile range (IQR) of the salaries?
25
35
70
100

Answers

Answer:

First you order the data from least to greatest

then find the mean

next you Calculate the median of both the lower and upper half of the data

The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

Jonathan bought a new car in November that cost $23,000. The value of the car decreases by 15% each year. What will the value of the car be in five years? *Give the exact value~nearest penny

Answers

Answer:

$5750

Step-by-step explanation:

To find what 15% is in money, we do

23,000*15/100=3450 for one year

3450*5(for five years)=$17,250

Now subtract that

23,000-17,250=$5750

(2y -2) divided by x for x=2 and y=5

Answers

Answer:

= 4

Step-by-step explanation:

(2y-2)/x

Insert 2 and 5 in their respective places:

(2(5)-2)/2

Multiply from left to right:

(10-2)/2

Subtract from left to right:

8/2

Divide and simplify:

= 4

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