simplify expression: 3f+8(2m-7)

Answers

Answer 1

After simplification we got the above expression in the form 3f + 16m -56

What is simplify in mathematics?

The word "simplify" implies to turn something in a simpler form.

In mathematics, simplify an expression means write an expression in such a way that is comparatively less complicated than before. The main purpose of simplify an expression is to make it easy to solve as well as calculation.

How to simplify the above expression?

3f + 8(2m-7)

we rearrange the expression by removing the parenthesis.

we remove the parenthesis by multiplying the factors.

3f + 8 × 2m - 8 × 7

3f + 16m -56

the above expression has no like terms to add or subtract so it is kept in this form.

Hence, 3f + 16m -56 is the simpler form.

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Related Questions

Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?

Answers

The percentage of the total marks that Edet gets is 60%

How to calculate the percentage?

The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

In this situation, the score of Edet will be:

= 48 + 52 + 46 + 46 + 44 + 52

= 288

Total score = 80 × 6

= 480

The percentage will be:

= 288 / 480 × 100

= 60%

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A large ice cream cone can hold 143.56 cm of ice cream. The cone is 15 cm tall. What is the radius of the base of the cone? Be sure your answer is in the proper units. Round your answer to the nearest hundredth.

Answers

Answer:

r = 3.02 cm

Step-by-step explanation:

V cone = πr²h/3

r = √(3V/πh)

r = √(3(143.56)/π(15))

r = 3.0231297

a wall is 500sq. feet a gallon of paint covers 160sq feet. what is an appropriate conversion factor to help determine how many gallons will be needed to paint the wall

Answers

Answer:

Given:

-> Area of the wall: 500sq. feet

-> 1 gallon of paint covers 160sq. feet of area

-> By unitary method:

-> 1 ft. square of wall requires 1/160 gallon of paint

Thus,

-> 500 ft. square of wall will require = 500 x 1/160 gallons of paint

= 3.0125 gallons

Hope it helps :)

Though my answer may be wrong :(

Have a great day!

PLEASE HELP! Image below. This is due in 10 Minutes!

Answers

Answer:

9 x 3.5 = 31.5 (area of rectangle now time for the trapezoid!)

Area of little square:

2 x 2 = 4

Area of two triangles:

2 x 2 = 4

4 divided by 2 = 2

5 x 2 = 10

10 divided by 2 = 5

The summed up area's of triangles:

5 + 2 = 7

7 + 4(little square's area)  = 11

11 + 31.5 = 42.5

A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)? (2 points)

answers:

2.3 x 107 J

2.6 x 107 J

4.3 x 107 J

6.7 x 107 J

Answers

Step-by-step explanation:

2.3 x 107 J is your correct Answer

50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?

1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90

Answers

Answer:

3

Step-by-step explanation:

a kite string is 50 feet long, and you are able to measure the angle of elevation to be 25 degrees. You are holding the kite from 5 feet above the ground.
Show all your work to find the total height (h) of the kite.

Answers

9514 1404 393

Answer:

  26.1 ft

Step-by-step explanation:

The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

Filling in the known values, we have ...

  sin(25°) = height/(50 ft)

  height = (50 ft)sin(25°) ≈ 21.1 ft

Added to the height at which you are holding the string, this becomes the total height of the kite.

  h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite

WHAT DO I PUT NO LINKS WILL BE REPORTED!! JUST GIVE ME THE NUMBERS AS A RATIO

Answers

Answer:

33

Step-by-step explanation:

48 - 15 = 33

Answer:

33??

Step-by-step explanation:

Divide the polynomials. If there is a remainder, enter the remainder in fraction form. x^4+3x^3-x-2/x+1

Answers

The polynomial x⁴ + 3x³ - x - 2 will have a remainder of 1 when divided by x + 1 and the result can be written in the form (x³ + 2x² + 2x - 3) + 1/(x + 1).

How to divide the polynomial

Using the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder

We shall divide the polynomial x⁴ + 3x³ - x - 2 by x + 1. as follows;

x⁴ divided by x equals x³

x + 1 multiplied by x³ equals x⁴ + x³

subtract x⁴ + x³ from x⁴ + 3x³ - x - 2 will result to 2x³ - x - 2

2x³ divided by x equals 2x²

x + 1 multiplied by 2x² equals 2x³ + 2x²

subtract 2x³ + 2x² from 2x³ - x - 2 will result to 2x² - x - 2

2x² divided by x equals 2x

x + 1 multiplied by 2x equals 2x² + 2x

subtract 2x² + 2x from 2x² - x - 2 will result to -3x - 2

-3x divided by x equals -3

x + 1 multiplied by -3 equals -3x - 3

subtract -3x - 3 from -3x - 2 will result to a remainder of 1.

Therefore, the polynomial x⁴ + 3x³ - x - 2 divided by x + 1 gives a quotient x³ + 2x² + 2x - 3 and a remainder of 1 and can be written as (x³ + 2x² + 2x - 3) + 1/(x + 1).

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Does perpendicular lines have something same to intersecting lines

Answers

Answer:

They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.

Step-by-step explanation:

Joe earned 2,100$.He spent 1/5 on rent and 1/3 on food.How much money did he have left​

Answers

Answer:

$980

Step-by-step explanation:

Step 1: Find [tex]\frac{1}{5}[/tex] of 2100 = 420

[tex]\frac{1}{5}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{5}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 5 = 420[/tex]

Step 2: Find [tex]\frac{1}{3}[/tex] of 2100 = 700

[tex]\frac{1}{3}\times \:2100[/tex]Convert 2100 to a fraction: [tex]\:2100=\frac{2100}{1}[/tex][tex]=\frac{1}{3}\times \frac{2100}{1}[/tex]Cross Divide[tex]2100 \div 3 = 700[/tex]

Step 3: Add both results together

[tex]420 + 700 = 1120[/tex]

Step 4: Subtract the result from how much joe earns ($2,100)

[tex]2100 - 1120 = 980[/tex]

Joe has $980 left

If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.

Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is

(1/5) * $2,100 = $420.

Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.

To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.

To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.

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what are the types of sneakers the students in our school wear? Is this a statistical question?

Answers

Answer:

No.

Step-by-step explanation:

This is not statistical because a statistical question is a question that can be answered by collecting data that vary. Data pertains to numbers. Your question is not asking for numbers.

help me plss about seasons and stuff​

Answers

6. South Pole
5. North Pole

Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces​

Answers

Answer:

$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3

$14.40 for 3 dozen I'm pretty sure

Latonya earns a gross annual salary of 61,870. If she is paid weekly, how much is her weekly gross paycheck?

A) 5,155.83
B) 2,577.92
C) 1 ,189.81
D) 1 ,237.40

Answers

If I’m not wrong I think it’s is B

Answer: C

Step-by-step explanation: 52 weeks in a year. 61870/52 is 1,189.81.

Goran invested his savings in two investment funds. The amount he invested in Fund A was 7000 less than the amount he invested in Fund B. Fund A returned a 4% profit and Fund B returned a 2% profit. How much did he invest in Fund B, if the total profit from the two funds together was 500?

Answers

If Goran invested his savings in two investment funds. The amount that Goran invest in Fund B, if the total profit from the two funds together was 500?

How to find the amount invested?

Amount Invested in Fund  A = x

Amount invested in Fund  B = x+7000

Profit from fund A = 0.04x

Profit from fund B = 0.02(x+7000)

0.04x +0.02(x+7000) = 500

0.04 +0.02x + 140 =500

Combine like terms

0.06 x =360

Divide both side by 0.06x

x = 360 /0.06

x = 6,000

Amount Invested in Fund A = x =6,000

Amount invested in Fund B = x+7000

Amount invested in Fund B = 6,000 + 7,000

Amount invested in Fund B = 13,000

Therefore the amount invested in Fund A 6,000 and the Fund B is 13,000.

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Keenan is buying tires. Keenan has to spend 2 dollars for each tire purchased

Answers

Answer:

what's the question? I don't know

4 tires equals 8 dollars

Customary American Units of Capacity

1 cup = 8 ounces

1 pint = 2 cups or 16 ounces

1 quart = 2 pints, 4 cups, or 32 ounces

1 gallon = 4 quarts, 8 pints, 16 cups, or 128 ounces

5 quarts 4 pints =____ pints

Answers

Answer:

14

Step-by-step explanation:

5 quarts = 10 pints

10 pints + 4 pints = 14 pints

what is 2/9s of 630

Answers

Answer: its 18.27  

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Find the profit-maximizing price.
80
For a monopolist's product, the demand equation is p = 22 - 2q and the average-cost function is c=2+
q
The profit-maximizing price is $


Answers

Answer: [tex]\$11.5[/tex]

Step-by-step explanation:

Given

Demand function is [tex]p=22-2q[/tex]

The average cost function is [tex]c=2+q[/tex]

Total revenue is the product of demand and the price per unit.

[tex]r=\left(22-2q\right)q[/tex]

Profit is given by the difference of the total revenue and the cost

[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]

Find the derivative of profit to get the maximum profit

[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]

Put q in the equation of demand to get the price

[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]

A triangular prism has a height of 6 meters and a triangular base with the following dimensions. What is the value of B ? 54 m 2 48 m 2 96 m 2 30 m 2

Answers

Answer:

96m

Step-by-step explanation:

Answer:

The correct answer is 48 m.

Step-by-step explanation:

To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.

I also had a quiz on this and I got it correct after I checked my work. Have a good one mate

Please help answer question

Answers

Answer: x = 9

Step-by-step explanation: To find the value of x, we must understand a few things:

- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.

Now, with that out of the way, I have one more thing to explain.

- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:

22 - 4 = ?

? = 18

18 / 2 = ?

?(x) = 9

Therefore, x = 9

We can check our answer by doing:

| 2(9) + 4 | = 22

2 x 9 = 18

18 + 4 = 22

22 = 22

So, both answers add up, so x = 9

I hope this helps!

Find the measure of the angle.
The angle turns through
1/10
of the circle.
What measure is the angle?

Answers

Answer:

radian

Step-by-step explanation:

1/10 circle or degree The SI derived unit for angle is the radian. 1 radian is equal to 1.591549430919 or 1/10 circle, or 57.295779513082 degree.

36 deg

1/10 of a circle is equal to 36 deg.

use partial quotients to solve
5,140÷9=

Answers

Answer: 571.11111...(Fraction: 9/28)

Step-by-step explanation:

5,140÷9 = 571.11111...

What is an equation of the line that passes through the points (6, -7) and (-6,3)?

Answers

Answer:

y=-5/6x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-(-7))/(-6-6)

m=(3+7)/-12

m=10/-12

simplify

m=-5/6

y-y1=m(x-x1)

y-(-7)=-5/6(x-6)

y+7=-5/6x+30/6

y+7=-5/6x+5

y=-5/6x+5-7

y=-5/6x-2

Find the length of the third side. If necessary, round to the nearest
tenth.

Answers

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Rhombus LMNO is shown with its diagonals.

Rhombus L M N O is shown. Diagonals are drawn from point M to point O and from point L to point N and intersect at point P. All sides are congruent.

The length of LN is 28 centimeters. What is the length of LP?

7 cm
9 cm
14 cm
21 cm

Answers

Answer:

14 cm

Step-by-step explanation:

The length of the line segment, LP is; 14 cm

Diagonals of a Rhombus

From the task content, it follows that the diagonal LN of the Rhombus has length, 28 centimetres.

However, from the task content also, the point P is the point of intersection of the two diagonals.

On this note, it follows that P is the midpoint of line LN and the length of line LP is therefore;

LP = 28/2 = 14 cm.

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HELP ME PLEASE I HAVE NO CLUE

Answers

Answer:

tan =opposite divided by adjacent

therefore tan j is 11÷60 = 0.1833

tan-1 0.1833= 10.39

so tan j is 10.39

tan l is 60 ÷11 = 5.4545

tan-1 5. 4545= 79.61

hope it made sense

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key

Answers

Answer:

1.66

Step-by-step explanation:

Using the Chi square statistic (χ²) test :

χ² = Σ(Oi - Ei)² / Ei

Expected, Ei :

Freshmen = 30% * 300 = 90

Sophomore =24% * 300 = 72

Junior = 26% * 300 = 78

Senior = 20% * 300 = 60

Observed, Oi :

Freshmen = 83

Sophomore = 68

Junior = 85

Senior = 64

χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)

χ² = 49/90 + 16/72 + 49/78 + 16/60

χ² = 0.544 + 0.222 + 0.628 + 0.267

χ² = 1.661

The test statistic = 1.66

A rectangular prism is shown below. What is the volume of the prism?
1/2yd
1/4yd
5/6yd

Answers

Answer:

Option B, 5/48 yd³

Step-by-step explanation:

[tex] \frac{5}{6} \times \frac{1}{4} \times \frac{1}{2} [/tex]

[tex] = \frac{5}{4} [/tex]

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