Write the following expression in simplest form.

(3 + 16.4a) − (9 + 5.7a)

22.1a + (−12)
1.07a + (−12)
22.1a + (−6)
10.7a + (−6)

Answers

Answer 1

Answer:

10.7a + (−6)

Step-by-step explanation:

Let's simplify step-by-step.

3+16.4a−(9+5.7a)

Distribute the Negative Sign:

=3+16.4a+−1(9+5.7a)

=3+16.4a+(−1)(9)+−1(5.7a)

=3+16.4a+−9+−5.7a

Combine Like Terms:

=3+16.4a+−9+−5.7a

=(16.4a+−5.7a)+(3+−9)

=10.7a+−6

Answer 2

Option D is correct. The expression in its simplest form is: 10.7a - 6.

Let's simplify the given expression:

(3 + 16.4a) − (9 + 5.7a)

Distribute the negative sign to the terms inside the second parentheses:

(3 + 16.4a) − 9 − 5.7a

Combine like terms:

(16.4a - 5.7a) + (3 - 9)

Perform the subtraction and subtraction of coefficients:

(16.4a - 5.7a) + (-6)

Simplify the expression:

(10.7a) - 6

So, the expression in its simplest form is: 10.7a - 6. Option D is correct.

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Related Questions

Kayla is 5 2/3 feet tall. Todd 4 11/12 feet tall. How much taller is Kayla? Write an expression to represent this situation.

Answers

Answer:3/4

Step-by-step explanation:

5 2/3-4 11/12=17/3- 59/12=3/4

Answer:

It is 3/4 for this question

Pls help very easy ASAP PLS

Answers

-2 -4 I’m pretty sure it’s -2 -4 because of the quadrant
-2, -4 ! hopefully im not wrong and this helps

Which expression is equivalent to negative two and one third times d plus four fifths minus the sum of one and five sixths times d plus nine tenths?

A - negative one half times d minus one tenth
B - negative twenty five over six times d minus one tenth
C - twenty five over 6 times d minus one tenth
D - negative one half times d minus one and seven tenths

Answers

The answer would be C

Answer:B is the correct answer

Step-by-step explanation:

Pls help answer both if you can pls.

Answers

Answer: No

Explanation:

slope of the line: y= 1/3x

(6,2)

2= 1/3(6)

2=2> works for this one

(15,45)

45= 1/3(15)

[tex]45\neq 3[/tex]

The answer is no!
I will attach a photo showing how to solve !

What is the slope of this graph ? Please help asap.

Answers

Where is slope??
I need it to solve…
You didn’t submit a pic of the graph

12a^2 + 6ab - 26a - 18b Factoring by groups

Answers

Answer:

-14a^3+6ab-18b

Step-by-step explanation:

2( 6a^2 + 3ab - 13a - 9b)

If your phone battery goes down by 4.58% every 10 minutes, how much has it gone down in 50 minutes?

Answer as a decimal. Round to the nearest 100th.

Answers

Answer:

22.9

Step-by-step explanation:

4.58 drops every 10 minutes

What would happen if it dropped 50 minutes

4.58x5 = 22.9

Answer:

22.9

Step-by-step explanation:

4.58x5 = 22.9

"You have a stack of 10 boxes that is 8 3/4 feet tall. What's the height of each box?"

Answers

Answer:

0.875. is the correct answer hopefully

Answer: 7/8

Explanation:
8 3/4 is the total height and there are 10 boxes. So, we need to divide 8 3/4 by 10 which is 0.875 or 7/8.

If a car rolled down a 25-meter ramp, continued rolling another 20 meters at the bottom, then reversed and went back to the top of the ramp, what is the car's displacement? What is the car's distance traveled? Explain

I will give brainliest!

Answers

Answer:
Displacement = 0
Distance = 90

Explanation:
Displacement refers to the overall change an object has made in its position. The car is right back where it started, so the answer is 0.

To calculate total distance, add the distance down the ramp to the additional horizontal distance, then multiply it all by 2 because it made the same journey again in reverse.

25 + 20 = 45
45 x 2 = 90 m
Displacement= 0
Distance=90

4x^2y - 2xz + 2xy^2 - yz factoring by grouping

Answers

Answer: (2xy-z)(2x+y)

Step-by-step explanation:

In order to factor by grouping, you take the first two and last two terms and find similaritiess by factoring.

First, find out if there is a GCF. In this case, there is none, so we can skip this step.

Next, group (4x^2y-2xz)+(2xy^2-yz). Take out the GCF of the grouped factors separately: 2x(2xy-z)+y(2xy-z). Notice how both of these grouped terms share a common factor.

What you would do is take that and move it to the front. Then, notice how the 2x+y is still remaining. This becomes the 2nd factor.

Therefore, the answer is (2xy-z)(2x+y)

Algebra gotta be the most hardest math. Help a sister out

Answers

I’m pretty sure it’s -5
Answer: -5

Explanation: When you have a problem like this, you can plug in the numbers for each variable directly into the equation, then simplify the equation to solve.

So we get:

12/6 + 5 - 4(6) + 12

Which simplifies to :
2 + 5 - 24 + 12 = -5

Randall made 3 withdraws of $18.25 each. What was the change in his account? Include the answer in a sentence.

Answers

$54.75
In the end he took $54.75 out of his bank account
$54.75 is the answer

What is the perimeter of the actual garden?

Answers

Answer:

62.5 cm

Step-by-step explanation:

8.5 × 2.5 = 21.25 cm

4 × 2.5 = 10 cm

(10 cm × 2) + (21.25 cm × 2) = 62.5

-Therefore, 62.5 cm as the perimeter is the correct answer.

4x2.5=10
8.5x2.5=21.5
(10x2)+(21.5x2)
20+43=63

HELP PLEASE I NEED AN ANSWER ASAP
(FILE IS BELOW)

Answers

1) 0.6 + 1.1 = 1.7. If you add the 2 highest numbers you get the highest sum
2) -3 - (-0.3) = -2.7. If you subtract the 2 lowest numbers u get the lowest difference
It is -2.7 if i did it correct

Which expression is equivalent to quantity negative three and one third times d plus three fourths end quantity minus quantity three and five sixths times d plus seven eighths end quantity?

one half times d minus one eighth
one half times d minus one and five eighths
forty three over 6 times d minus one eighth
negative forty three over six times d minus one eighth

Answers

Answer: 27/65

Step-by-step explanation:

Your answer should be 27/65

Hello, I would really appreciate it if someone would help me out with this problem and explain how they did it if possible. If not that is completely alright. I hope you all have an amazing day. Thank you so much! :) (Even if you don't solve the problem feel free to give it your best guess or even just say "hello" to earn yourself some points. You deserve them.) :D (Will be looking for a brainliest!)

Answers

Answer:

4^7

Step-by-step explanation:

4^5 × 4^9/4^7

When you’re multiplying exponents with the same bases, add powers together, so...

4^5 × 4^9 = 4^14

= 4^14/4^7

When you're dividing exponents with the same bases, subtract powers from each other, so...

4^14 - 4^7 = 4^7

Therefore, 4^7 is your answer! :)

the answer is 4^7 :)

How many dogs were in the sample?


Weight of Dogs In the Pet Store

Stem Leaves

0 | 3, 8

1 | 0, 1, 4, 7

2 | 2, 4, 5

3 | 5
4 | 0
0 | 3 = 3 pounds

Answers

The mean of the dataset is 3.55

How do determine the mean?

The dataset is given as:

0 | 3, 8

1 | 0, 1, 4, 7,

2 | 2, 4, 5

3 | 5 0

Remove the stems

3, 8

0, 1, 4, 7,

2, 4, 5

5 0

The mean is then calculated as:

Mean = Sum/Count

So, we have:

Mean = (3 + 8 + 0 + 1 + 4 + 7 + 2+ 4 + 5 + 5 + 0)/11

Evaluate

Mean = 3.55

Hence, the mean of the data is 3.55

What the person said above me

PLS help me with theses Questions 30P + brainlyest

Answers

1. 4
2. 3
3. 2
4. 4
5. 2
6. 4.






This is really easy because all you do is multiply the numerator not th denometer
1. 9/8
2. 8 2/3
3. 3 1/3
4. 21/10
5. 40/6
6. 3

hope this helped!!
brainlyest would be awesome please!

Which expression is equivalent to −4 + 9 − 2x − 9x?

−11x + 5
−11x + 13
−11x − 5
11x + 13

Answers

The answer is A short explanation just add the numbers combine the like terms than Rearrange the terms that you got -11+5
The answer to your question is c

What is the equation of this graphed line?

Answers

Answer: y=2x+2

Step-by-step explanation:

slope= [tex]\frac{y2-y1}{x2-x1}[/tex]

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

=12/6

=2

It follows the y=mx+b formula. B is the slope, rise over run. Since it’s positive, slope is 2/1 or 2. Hope this helps.

Which expression is equivalent to 4(−3.7b − 3.1) − (4b + 0.4)?

A - 18.8b + 2.7
B - −18.8b − 2.7
C - 18.8b − 12.8
D - −18.8b − 12.8

Answers

4(-3.7b) = (-14.8b), 4(-3.1) = (-12.4)

(-14.8b - - 3.1) = (-14.8b + 3.1)

(-14.8b + 3.1) - (4b +0.4) = (-18.8b - 12.8)

Your answer is C and D. — (I’m assuming you meant to put a plus sign in either C or D so make sure you do the one with the negative sign for -12.8)
D. i got this correct

Hello, could anyone please help me with this problem.

Maria currently has 465 dollars in her account. She withdrew money for $250 and $175. If she spends $45 to put gas in her car, How much money will Maria have in her account?

Answers

Answer:

40$

Step-by-step explanation:

if maria has 465$ in her account and she withdrew 250$ makes 215 but it also says she withdrew 175 so 215 subtract 175 makes 40 dollars if she uses 45 dollars to fill her car up she still only has 40 dollars i hope this helps

Answer:  $40

Step-by-step explanation: If Maria has 465 dollars and withdraws takes out subtracts $250 she has $215 after that she takes out or subtracts $175 so than she has $40. I think the answer is $40  but I am not so good  at math so I'm not sure

John currently has $500 in his lunch account. He spent $15 each day on lunch. In how many days will John have $245?

Answers

Answer:

18 days.

Step-by-step explanation:

Step 1) Building an arithmetic sequence
We can build an arithmetic series with the given information.
The [tex]n[/tex]th term of an arithmetic series is given by the formula [tex]a_n = a_1 + (n - 1)d[/tex] .


[tex]a_1 = 500\\d = -15\\\to a_n = 500 - 15(n - 1) = 515 - 15n[/tex]

Step 2) Finding the n for which a(n) = 245

As this step's title implies, we need to solve the equation [tex]a_n = 245[/tex]:

[tex]515 - 15n = 245 \text{ / Subtract 245}\\515 - 15n - 245 = 245 - 245\\\to 270 - 15n = 0 \text{ / Add 15n}\\270 - 15n + 15n= 0 + 15n\\\to 270 = 15n \text{ / Divide by 15}\\\frac{270}{15} = \frac{15n}{15}\\\to 18 = n[/tex]

John will have $245 in 18 days.

Answer:

17 days

Step-by-step explanation:

Since John starts with $500 and each day, he’ll spend $15 on lunch. This means that:

On his first day, he’ll spend $15.On his second day, he’ll spend another $15 which is total spend of $30 ($15 x 2)On his third day, he’ll spend total of $45 ($15 x 3)

Therefore, on his nth day, he’ll spend $15n where n represents the day. The problem can be modeled into an equation of [tex]\displaystyle{500-15n=245}[/tex] since we will be finding how many days it will take to reach $245.

Then solve for n-term which we determines as the day variable:

[tex]\displaystyle{500-15n-245=0}\\\\\displaystyle{255-15n=0}\\\\\displaystyle{255=15n}\\\\\displaystyle{n=17}[/tex]

Therefore, on his 17th day, he’ll have $245. Hence, the answer is 17 days.

You exercise for 34 of an hour. You jump rope for 13 of that time. In simplest form, what fraction of the hour do you spend jumping rope?

Answers

Answer:

You spend 1/4 of the hour jumping rope. The question states that 1/3 of 3/4 of an hour is spent jumping rope.

Step-by-step explanation:

Answer: You spend 1/4 of the hour jumping rope.

Step-by-step explanation:

The question states that 1/3 of 3/4 of an hour is spend jumping rope

To find this, multiply 3/4 by 1/3


3/4 times 1/3 = 3/12 = 1/4

So one third of 3/4 is 1/4

A space station is being built for 24 cubic modules. The space station can be any shape but the modules must be placed together so that entire faces match up with each other. Choose a tool to create two different plans for the space station. Eplain why you chose the tool you selected.

Answers

Answer:

The answer is 12 each.

There were between one and twenty-four tickets sold. How many students purchased this many tickets?
A. 15
B. 17
C. 20
D. 23

Answers

Answer:

D

Step-by-step explanation:

The answer is D. Because if there was ONE to TWENTY FOUR, that means there would be only ONE left.

you are taking a science course in which there will be 5 tests. each worth 100 points, you have scores of 91, 94, 97, and 86 on the first 4 tests. you must make a total of 450 in order to get an A in the course. set up an inequality and solve it to find the sey of possible test scores that will give you an A.

9 + 94 + 97 + 86 + x ≥ 450
368 + x ≥ 450
368 - 368 + x ≥ 450 - 368
x ≥ 82

Answers

Answer:

Step-by-step explanation:

9 + 94 + 97 + 86 + x ≥ 450

368 + x ≥ 450

368 - 368 + x ≥ 450 - 368

x ≥ 82

According to my calculations, the answer should be greater than or equal to 82

What's the answer to this problem ??
"A stack of boxes is 6/5 meters tall. Each box is 3/10 meter tall. How many boxes are in the stack?"

Answers

Answer:

[tex]{\Large{ \fbox{ \sf{Four \: Boxes }}}}[/tex]

Step-by-step explanation:

Let x boxes are there such that sum of each box's height results in height of stack of boxes,

the expression will look like this

[tex] \frac{3}{10} \times x = \frac{6}{5} [/tex]

solving for x,

[tex]x = \frac{6 \times 10}{5 \times 3} [/tex]

[tex]x = \cancel{ \frac{60}{15} }[/tex]

[tex]x = 4[/tex]

Answer - There are four boxes.

[tex]\sf \small \pink{Thanks }\: \green{for} \: \blue{joining} \: \orange{brainly } \: \red{community}![/tex]

Which proportion can be used to find 65% of 200?

A. 65/200=x/100
B. 65/x= 200/100
C. 65/100=x/200
D. 65/100=200/x

Answers

The answer for this question is option C
the answer for this would be c

Solving Inequalities
2n + 7 > 27 or 3 + 3n < 30
Not sure how to solve this, if I could get the steps, that would be great

Answers

Answer:

n > 10

n < 9

Interval notation:

(-∞, 9) U (10, ∞)

Step-by-step explanation:

2n + 7 > 27 or 3 + 3n < 30

     -7     -7      -3             -3

2n > 20                 3n < 27

÷2    ÷2                ÷3     ÷3

n > 10                      n < 9

<---------            ----------->

<---------0--------0--------->

           9         10

I hope this helps!

n > 10 and n > 9


Explanation:

1. 2n+7 > 27. Subtract 7 from both sides to get 2n > 20. Divide both sides by 2 to get n > 10.

2. 3+3n > 30. Subtract 3 from both sides to get 3n > 27. Divide both sides by 3 to get n > 9.

I hope this helps! :)
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