Which expression is equivalent to 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) ?

A. 4x - 7
B. 4x + 2
C. -4x - 7
D. -4x + 2

Answers

Answer 1
To simplify the expression, we can start by distributing the coefficients:

1/4 (14x - 10) -3 (2 1/2x - 1 1/2) = 7/2x - 5/2 - 15/2x + 9/2

Next, we can combine like terms:

= (-15/2x + 7/2x) + (-5/2 + 9/2)

= -8/2x + 4/2

= -4x + 2

Therefore, the expression 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) is equivalent to -4x + 2. Answer choice D is correct.
Answer 2

Answer:

the expression 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) is equivalent to -8x + 2, which is option D.


Related Questions

A jumbo jet carries 290 passengers, 30 in first class, and the remainder in coach. If the average first class ticket is $680 and the average coach ticket is $288, how much will the airline gross if the plane is full?

Answers

290-30=260 260x288= 74,880 30x680= 20,400 74,880+20,400= $95,280
95,280 c 30x680 + 260x288

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?

(A.) XY = 18 mm , YZ = 20 mm , XZ = 39 mm

(B. ) XY = 17 mm , YZ = 20 mm , XZ = 36 mm

(C.) XY = 16 mm , YZ = 20 mm , XZ = 37 mm

(D.) XY = 17 mm , YZ = 19 mm , XZ = 37 mm

Answers

Answer:

(A.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 18 mm, YZ = 20 mm, and XZ = 39 mm. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to the triangle inequality theorem. In this case, XY + YZ = 18 mm + 20 mm = 38 mm, which is greater than XZ = 39 mm, satisfying the triangle inequality theorem.

(B.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 20 mm, and XZ = 36 mm. This is because XY + YZ = 17 mm + 20 mm = 37 mm, which is greater than XZ = 36 mm, satisfying the triangle inequality theorem.

(C.) A triangle will not be formed with vertices X, Y, and Z with side lengths XY = 16 mm, YZ = 20 mm, and XZ = 37 mm. This is because XY + YZ = 16 mm + 20 mm = 36 mm, which is not greater than XZ = 37 mm, violating the triangle inequality theorem.

(D.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 19 mm, and XZ = 37 mm. This is because XY + YZ = 17 mm + 19 mm = 36 mm, which is greater than XZ = 37 mm, satisfying the triangle inequality theorem.

Step-by-step explanation:

Answer B.
a+b>c
17+20>36
37>36

Another math problem in need of help

Answers

Answer:

Yes, and it will hit at 20.5 ft (rounded)

Step-by-step explanation:

4.) A kilo of banana in the market is 5 pesos more than thrice the kilo of tomato. If a kilo of tomato costs 15 pesos, how much does a kilo of banana costs?

A. 20 pesos
B. 35 pesos
C. 40 pesos
D. 50 pesos

pls help me, I need this rn. with solution pls, show the solution how did you get the answer​. ​

Answers

50 pesos,the explanation is the picture pls mark brainliest
The answer is D. 50 pesos

What is the sum of all the integers between √18 and √75?

Answers

answer 2639

Step-by-step explanation:

We are asked to find the sum of all the integers between 19 and 77.

We will use sum of arithmetic sequence formula to solve our given problem.

, where,

= Sum of n terms,

n = Number of terms in the sequence,

a = 1st term,

d = Common difference.

Since we are asked to take the sum of all the integers between 19 and 77, so common difference is 1.

Therefore, the sum of all integers between 19 and 77 is 2639.

Step-by-step explanation:

Answer:

The answer is 2639

Step-by-step explanation:

If you have any questions please ask me! :)

Which equation is true when n = 4?

Answers

Answer:

The answer is D

Step-by-step explanation:

2(n+6)=20

2 times n equals 2n

2 times 6 equals 12

so, 12 plus 2n equals 20

make 2n the subject of formula so, 2n= 20-12 (the sign will change when coming past the (=) sign

2n= 8

n=2/8

n=4

?? (,,•﹏•,,) please help <(_ _)>
Tysmm!♡☆

Answers

Answer:

The solution is ([4], [19]).

Step-by-step explanation:

To solve the system of equations using the substitution method, we can follow these steps:Step 1: Start with the given equations:

y = 4x + 3 (Equation 1)

y = 7 + 3x (Equation 2)Step 2: Choose one of the equations and solve for one of the variables in terms of the other variable. Let's choose Equation 1 and solve for y in terms of x:

y = 4x + 3Step 3: Substitute the expression for y from Equation 1 into Equation 2 and solve for x:

4x + 3 = 7 + 3x (Substituting y = 4x + 3 from Equation 1)

4x - 3x = 7 - 3

x = 4Step 4: Substitute the value of x found in Step 3 back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:

y = 4(4) + 3 (Substituting x = 4)

y = 19So the solution to the system of equations is x = 4 and y = 19. Therefore, the solution is ([4], [19]).

The tires on Jasmine's bicycle have a circumference of about 70.4 inches. Find the approximate diameter of each tire. Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

Answer:

The approximate diameter of each tire on Jasmine's bicycle can be calculated by dividing the circumference by π (pi). Using the given circumference of 70.4 inches and rounding π to 3.14, the calculation would be as follows:Diameter = Circumference / π

Diameter = 70.4 / 3.14

Diameter ≈ 22.45 inches (rounded to the nearest hundredth)So, the approximate diameter of each tire on Jasmine's bicycle is 22.45 inches.

The approximate diameter of each tire is 22.42 inches.

What is the diameter of the tires on Jasmine's bicycle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2πr

or

C = πd

Where r is radius, d is diameter, and π is constant pi ( π = 3.14 )

Rearrange this formula to solve for the diameter:

C = πd

d = C/π

Substituting the given value of the circumference, we have:

d = 70.4/3.14

d = 22.42 in

Therefore, the diameter is 22.42 in.

Learn more about circles here: brainly.com/question/11952845

#SPJ1

There is a pair of parallel sides in the following shape. What is the area of the shape?

Answers

Answer:

16x4

A:

Step-by-step explanation:

can someone help me plot these??
(+30 points)

Answers

Answer:

Heres the answer to your question. Hope this helps!

this is what i got, i just matched the with the pair if you look at the numerator it can help with this type of thing when all the denominators are the same

Darla’s dinner at a restaurant cost $23.18 before tip. She wants to leave a 20% tip. What is the total cost of the dinner after Darla adds the tip?

Answers

Answer:

$27.816

Step-by-step explanation:

First we have to find out what 20% of 23.18 is. Let x represent the amount of the tip.

(cross multiply)

20 =     x  

100     23.18

20 x 23.18 = 463.6

463.6 ÷ 100 = 4.636

x = $4.636

Now we add the amount of the tip to the original price of the dinner.

23.18 + 4.636 = 27.816

Therefore the total cost of the dinner including the tip is $27.816

The correct answer is 23.18%

..................................

Answers

Answer:144 cubic centimeters

Step-by-step explanation:

step 1. make the shape into 3 different rectangles

step 2. multiply 6 x 4 x 3 = 72 for the bottom rectangle

step 3. multiply 4 x 4 x 3 = 48 for the middle base

step 4. multiply 4 x 3 x 2 = 24 for the top base

step 5. add all the bases up together to get 144 total cubic centimeters

1. make the shape into 3 different rectangles

2. multiply 6 x 4 x 3 = 72 for the bottom
rectangle

3. multiply 4 x 4 x 3 = 48 for the middle
base

4. multiply 4 x 3 x 2 = 24 for the top
base
step 5. add all the bases up together to get 144 total cubic centimeters

Please help i really need this cuz its due in an hour... Tysm!♡

Answers

Answer:

√73.96

Step-by-step explanation:

12) Identify the relationship in the figure.

A) Complementary angles
B) Supplementary angles
C) Adjacent angles

Answers

Answer: I believe it is COMPLEMENTARY

Step-by-step explanation:

I got you fam

C) Adjacent Angles is the correct answer
Cause it’s not complementary that’s a 90 degree angle but this is my answer

Determine the coordinates of triangle A′B′C′ if triangle ABC is rotated 270° clockwise.

A′(−2, 2), B′(3, −3), C′(−5, −2)
A′(2, −2), B′(−3, 3), C′(5, 2)
A′(2, 2), B′(−3, −3), C′(5, −2)
A′(2, −2), B′(−3, 3), C′(2, 5)

Answers

Answer:

Step-by-step explanation:

A′(2, 2), B′(−3, −3), C′(5, −2)

The 3rd answer is correct.

Julie designs gardens for a living. For a year she kept track of the amount of time she spent designing the garden and then whether or not the customer returned. She recorded the time and probability that a customer returned.

If she wants to have the GREATEST probability that a customer returns, how long should she spend designing a garden?
Responses
A 2-3 hours
B 3-4 hours
C 1-2 hours
D 4-5 hours

Answers

Answer:

I don't know if I'm right so don't take my word for it but I think its D

Julie needs to have at least
B. 3-4 hours
7 divided by 8 times 100 =87.5%

Please help I can give points

Answers

Answer:

w≥77

Step-by-step explanation:

Multiply 11 by 7.

Answer:

[tex]w\geq 77[/tex]

Step-by-step explanation:

How would you get w by itself so that it makes it simplify?

Either you Multiply/Divide and Subtract/Add.

In your case you have [tex]\frac{w}{7} \geq 11[/tex]

To get w by itself you multiply 7 to both side leaving w.

[tex]7*\frac{w}{7}\geq 11*7[/tex]

Seven cancel out on the left side leaving w.

11 * 7 = 77.

[tex]w\geq 77[/tex]

HELP PLS! MIDDLE SCHOOL MATH!!!!

You spin the spinner once.

What is P(7)?

Write your answer as a percentage rounded to the nearest tenth.

PLS LOOK AT THE IMAGE!!!!

Answers

1/3. i hope this helps
1/3 I hope this helps

Owen has 50% more cash than Sandra, and Sandra has 20% more cash than Amada. How much more cash than Amada does Owen have, if Amada has $4.35?

Answers

Answer: $3.48

Step-by-step explanation:

Amada has $4.35. Since Sandra has 20% more cash than her, Sandra has $5.22. Owen has 50% more cash than Sandra, so he has $7.83. The difference between $7.83 and $4.35 is $3.48.

Hope this helps!

Answer: 10.44

Step-by-step explanation:

I think

Ok, I'm having trouble with this question. I'm very bad at math and I find it difficult If u do answer please try to give an explanation that a person with ADHD can understand.

Answers

55 6/9
You add the whole numbers first (not the fractions) which ends up being 55
Then you add the fractions. The number on the bottom (9) stays the same and you add the ones on the top , so 2+4 = 6 so it’s 6 over 9

Answer:

55 6/9 is your answer.

Step-by-step explanation:

32 2/9 + 23 4/9 = 55 6/9.

Sarah wants to predict how many t-shirts your homeroom will sell. She wants to compute the mean number of T-shirts sold by the other homerooms to do this.

Explain how the other homerooms' data support David's claim.

PLEASE HELP QUICK. THIS IS A TEST.​

Answers

u can add 10 plus 8 u can get 18 or if u get other number u wrong

Hi Bella,

I realised that there is a lack of information in the question. Please provide so we can guide you.

Please mark this brainliest thank you :)

please help me with this

Answers

Answer:

Step-by-step explanation:

The angles GCJ and ACB are congruent.

So GCJ=ACB=63°.

And in Triangle ABC the sum of all angles is 180°.

Such an angle of BAC is calculated by:

The sum of all angles = ABC + BCA + CAB

180 = 90 + 63 + CAB

CAB = 27°

Then again angle KAI and CAB are congruent then

KAI = 27°

Read more about congruent angles:

brainly.in/question/224583081

Please help me quickly!!

Answers

Answer: 1000/3

Step-by-step explanation: 3years = 1000

3 years = 1000 1000/3

Please help!! And also explain how you did it please, this is just a review before my final test!♡♡ ty♡

Answers

Answer:

3x+6=5x

6=-3x

6= 2x

x=3

y= 5(3)

y=15

Y= 5x
3x + 16=y —> 3x -16= 5x —> 3x-5x = -16 —>
-2x= -16 —> -16/-2 = 8 —> x= 8

A fence post that is 5 feet tall casts a 2-foot shadow at the same time that a tree that is 27 feet tall casts a shadow in the same direction. Determine the length of the tree's shadow.

8.5 feet
10.8 feet
12 feet
21.4 feet

Answers

Answer:

Let s be the height of the tree's shadow.

We set up and solve this proportion:

5/2 = 27/s

5s = 54

s = 10.8 feet

The length of the tree's shadow is 10.8 feet.

I believe the answer is 10.8 feet

Convert to military time:
9:15 A.M.

Answers

Answer:

To convert 9:15 A.M. to military time, we can follow these steps:

1. Determine if the given time is in the morning or afternoon. In this case, "A.M." indicates that it is in the morning.

2. Identify if the given hour is between 1 and 11. In this case, the hour is 9, which falls within this range.

3. For morning hours, we keep the hour as it is. So, the hour remains 9.

4. Write the minutes as they are. In this case, the minutes are 15.

Putting it all together, 9:15 A.M. in military time is simply 0915 hours.

Please Vote For Brainliest!

Will give 15 points!!!

In one​ month, Jason earns​ $32.50 less than twice the amount Kevin earns. Jason earns​ $212.50. Write and solve an algebraic equation to show how to find the amount that Kevin earns.

Answers

Answer:

Step-by-step explanation:

2K - 32.50 = 212.50

2K = 245

Therefore, Kevin earns 245/2 = $122.50

We can double check this by reversing the solution:

122.50 x 2 = 245

245 - 32.50 = 212.50

Therefore, we can be certain that our answer is correct!

please help on this one

Answers

Answer:

its the second one because 15 divided by 3 is 5, not 6.

I like your profile pic by the way, I love newjeans :)))

It’s the second one!!

I need help on this who ever can help me get 40 my brainly points.... thxx

Answers

Answer:I Got you fam

Step-by-step explanation:

Took a screen shot of the work

Answer:

ik u prolly cant get brainliest until there's 2 answers so just give the brainliest to the person before me.

Step-by-step explanation:

Solve for x

3x+1=7x-17

Answers

Answer:x=4.5

Step-by-step explanation:

3x+1=7x-17

3x18=7x

18=4x

x=4.5

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