47/6m+n- 7/2m-6/5n
Simplify

Answers

Answer 1

Answer:

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]

Step-by-step explanation:

1) Simplify [tex]\frac{47}{6}m[/tex] to  [tex]\frac{47m}{6}[/tex]

[tex]\frac{47m}{6}+n-\frac{7}{2}m-\frac{6}{5}n[/tex]

2) Simplify [tex]\frac{7}{2}m[/tex]  to [tex]\frac{7m}{2}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6}{5}n[/tex]

3) Simplify  [tex]\frac{6}{5}n[/tex]  to[tex]\frac{6n}{5}[/tex]

[tex]\frac{47m}{6}+n-\frac{7m}{2}-\frac{6n}{5}[/tex]

4) Collect like terms.

[tex](\frac{47m}{6}-\frac{7m}{2})+(n-\frac{6n}{5})[/tex]

5) Simplify.

[tex]\frac{13m}{3}-\frac{n}{5}[/tex]


Related Questions


A group of 18 students began raising money for a new community park. If each student reaches the goal of $980, how much will the
group raise toward the park project?
A $17,670
B $17.640
C $17,630 D$17,740

Answers

It’s B because 18x980 (that is every student) is equal to 17,640 dollars.

PLEASE HELP ASAP

What is an equation of the line that passes through the points (3, 2) and (6, -3)?

Answers

Answer:

(y+2)=2(x−3)

Or

(y−4)=2(x-6)

Or

y=2x−8

Step-by-step explanation:

Answer:

[tex]y= -\dfrac{5}{3} x+7[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2- y_1}{x_2 -x_1} = \dfrac{rise}{run}[/tex]  where (x1, y1), (x2, y2)

[tex]\hookrightarrow \sf slope: \dfrac{-3-2}{6-3}[/tex]

[tex]\hookrightarrow \sf slope:- \dfrac{5}{3}[/tex]

Find Equation:

[tex]\boxed{\sf y - y_1 = m(x_1 -x)}[/tex]  "m" is slope

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} (x-3)[/tex]

[tex]\sf \rightarrow y-2 = -\dfrac{5}{3} x+5[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+5+2[/tex]

[tex]\sf \rightarrow y= -\dfrac{5}{3} x+7[/tex]

Consider figures 1 through 4 on the coordinate plane.

Answers

The true statement about the coordinate plane is C. Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2.

What is a coordinate plane?

A coordinate plane simply means a two dimensional plane that's is formed by the intersection of a vertical line.

In this case, the true statement about the coordinate plane is that Figures 1 and 2 are not congruent because figure 1 cannot be mapped into figure 2 using a sequence of rigid transformation.

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When the net is folded up, which sides will touch?

Answers

Answer: Choice C is correct

Explanation:

We can think of the square in the middle of the four others as the floor

The surrounding four squares are the walls that fold upward.

The square at the very right side will then form the ceiling.

Side E and side L join at the top left edge.

See the diagram below.

Which is least? 1.26 ÷ 0.3 OR 7.84 ÷ 5.6

Answers

1.26÷0.3 = 4.27.84÷5.6 = 1.4

so clearly...the 2nd one is the least

hope it helps...!!!

Answer:

7.84 / 5.6 is least

Step-by-step explanation:

1.       1.26 / 0.3

= 4.2

2.      7.84 / 5.6

= 1.4

answer of 1.  is 4.2 and 2. is 1.4

1.4 is less than 4.2

Consider the equation 5 – 3(2x – 7) = 12 – 5(x – 2). Is x = 2 a solution to this
equation? Is x = 4 a solution to this equation?

Answers

Answer: No (x = 2), Yes (x = 4)

Step-by-Step Explanation:

=> 5 - 3(2x - 7) = 12 - 5(x - 2)

Substitute x = 2 in the Equation :-

5 - 3(2x - 7) = 12 - 5(x - 2)
5 - 3(2(2) - 7) = 12 - 5((2) - 2)
5 - 3(4 - 7) = 12 - 5(2 - 2)
5 - 3(-3) = 12 - 5
5 + 9 = 12 - 5
14 = 7
LHS is not Equal to RHS

Therefore, x = 2 is not a Solution.

Substitute x = 4 in the Equation :-

5 - 3(2x - 7) = 12 - 5(x - 2)
5 - 3(2(4) - 7) = 12 - 5((4) - 2)
5 - 3(8 - 7) = 12 - 5(4 - 2)
5 - 3(1) = 12 - 5(2)
5 - 3 = 12 - 10
2 = 2
LHS is Equal to RHS

Therefore, x = 4 is a Solution.

Answer:

[tex]\sf x=4[/tex]

Step-by-step explanation:

[tex]\sf 5 - 3(2x - 7)=12 - 5(x - 2)[/tex]

To get rid of the parentheses, we'll apply the distributive property. Staring with the left side, multiply -3 by (2x-7).

[tex]\sf 5 - 6x+21=12 - 5(x - 2)[/tex]

5+ 21= 26

[tex]\sf 26 - 6x=12 - 5(x - 2)[/tex]

Now, let's do the same thing to the right side. Multiply -5 by (x-2) »12−5x+10, than add 12+ 10 = 22 .

[tex]\sf 26 - 6x=22 - 5x[/tex]

Combine like terms.

[tex]\sf 26 - x=22[/tex]

Subtract 26 from both sides.

[tex] \sf - x= - 4[/tex]

Multiply both sides by -1.

[tex]\sf x=4[/tex]

PLS HELP GIVING BRAINLIEST Scott wishes to make a line plot of the heights in inches for a basketball team. The heights are listed below. Which line plot represents the data correctly?

74 79 78 79 82
73 82 81 80 84
74 76 69 78 84

Answers

Answer:

its the first one you listed

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Round 106505 to the nearest hundred thousand

Answers

Answer:

106500

Step-by-step explanation:

PLSS HELP ME WITH THIS !! 20 POINTSS

Answers

Answer:

Choice A.

Step-by-step explanation:

y = 10/5 x

becAUSE  10/5 = 2

Answer:

A

Step-by-step explanation:

the equation of proportionality is

y = kx ← k is the constant of proportionality

A

y = [tex]\frac{10}{5}[/tex] x = 2x ← with k = 2

B

y = [tex]\frac{2}{2}[/tex] x = 1x ← with k = 1

C

y = [tex]\frac{2}{4}[/tex] x = [tex]\frac{1}{2}[/tex] x ← with k = [tex]\frac{1}{2}[/tex]

D

y = [tex]\frac{22}{2}[/tex] x = 11x ← with k = 11

Use the nun
Se
2+n=8
Which is true?
A.n=4
B.n= 6
C.n=8
D.n= 10
E.n = 16

Answers

Answer:

it it B

Step-by-step explanation:

A card is drawn at random without replacement. A second card is then drawn. Determine the probability of getting a number greater than 9 and a number less than 4 if cards are selected at a random​

Answers

Step-by-step explanation:

it does not say what the card deck consists of, and how many cards of what type there are.

so, I assume a standard playing card set of 52 cards (no jokers) with 4 suits of

Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K

in that ranking of value.

so there are 4 cards of each of the 13 different types.

a card with a number greater than 9 means a 10, a J, a Q, or a K.

so, in total there are 4×4 = 16 such cards in the deck.

a card with a number less than 4 means an Ace, a 2, or a 3.

so, in total there are 4×3 = 12 such cards in the deck.

to get a number greater than 9 and a number less than 4 is a combination of the first card being greater than 9 and the 2 card being less than 4 OR the first card being less than 4 and the second card being greater than 9.

an "and" operation (without overlap) we represent by a multiplication, and an "or" operation (without overlap) by an addition.

remember, a probability is always

"desired cases / total possible cases".

so, the probability to draw a first card greater than 9 is

16/52 = 4/13

the probability to draw a second card greater than 9 (after a first card less than 4) is

16/51

because we still have all the large cards, but one of the smaller ones is now gone.

the probability to draw a first card less than 4 is

12/52 = 3/13

the probability to draw a second card less than 4 (after a first card greater than 9) is

12/51.

so, the complete probability of the scenario is

4/13 × 12/51 + 3/13 × 16/51 = 48/663 + 48/663 = 96/663 =

= 32/221 = 0.14479638...

if my assumptions about the cards are wrong, please adapt the numbers accordingly. but the basic structure of the calculation is the same.

This season, the probability that the Yankees will win a game is 0.61 and the
probability that the Yankees will score 5 or more runs in a game is 0.56. The
probability that the Yankees win and score 5 or more runs is 0.44. What is the
probability that the Yankees will lose when they score fewer than 5 runs? Round your
answer to the nearest thousandth.

Answers

The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

Probability

Given that this season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more runs in a game is 0.56, and the probability that the Yankees win and score 5 or more runs is 0.44, to determine what is the probability that the Yankees will lose when they score fewer than 5 runs the following calculation must be made:

1 - 0.61 = 0.391 - 0.56 = 0.440.39 x 0.44 = X0.1716 = X

Therefore, the probability that the Yankees will lose when they score fewer than 5 runs is 17.16%.

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Answer: The probability that the Yankees will lose when they score fewer than 5 runs is 17.16%

Step-by-step explanation:

If I have 679 points out of 901 what grade will I get?​

Answers

Around a 75% divide 679 by 901

Answer:

you'll get a 75%

Step-by-step explanation:

all you have to do is

divide 679/901

and you get 0.75%

DUE BEFORE 11 PM HURRY
solve the triangle

Answers

Answer:

c = 23.93

Angle ∠B = 21.22°

Angle ∠C = 41.779°

Step-by-step explanation:

Area of circumstances of a circle with radius of 5

Answers

Circumference of a Circle = 2πr
2 π 5
approx 31.41

Area of a Circle πr^2

π5^2
Approx 78.53

write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5

Answers

Answer:

The equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5 is 2x+y=4

1.1 How much profit did Jamie make if he sold 87 tickets for his treasure hunt? 1.2 Each horse ride lasts 5 minutes with a one minute pause in between for the next rider to get in the saddle. After every hour and a half the horses are given a rest. How many children can get an opportunity to ride a horse before they rest? 1.3 Give the grid reference of the treasure hidden south-east of the ice cream table. 1.4 If you are standing at the cup cakes table, in which direction must you walk to find the swings? 1.5 In which direction is the cold drinks table from the table where Sarah creates her balloon animals? 1.6 The distance on the map between the treasures hidden in block B2 and (3) (3 (2) (2 (4​

Answers

Answer:

because the Gravity of the eart.

Step-by-step explanation:

the times is equarl and plus is to mynos sorna iloveyou mwa.

A palindrome is a number that reads the same forwards and backwards, such as 22 or 39793.

How many palindromes are there between 10 and 400?

Answers

Answer:

There are thirty-nine palindromic numbers between 10 and 400.

Step-by-step explanation:

Listed, they are: 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 363, 373, 383, and 393.

Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove: E
D
F
חד
C

Answers

The proof of the given statements is shown below:

What is tangent to a circle?

A line segment which touches a circle specified to only one point is called a tangent to that circle.

1. given

2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.

3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,

    angle EFC =90

4.  Sum of interior angles of a triangle is 180°.

5. proved above: angle EFC= 90

6. FEC + ECF= 180-90=90

7. As proved above

   FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.

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Choices:

A. 0.38
B. 0.64
C. 0.69
D. 2.00

Answers

Answer I think it is a

Step-by-step explanation: A

A cookie factory uses 7/10 of a barrel of oatmeal in each batch of cookies. The factory used 4 9/10 barrels of oatmeal yesterday. How many batches of cookies did the factory make?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer: 7 BATCHES

Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal

Now the factory uses 4 9/10 batch of oatmeal

1=7/10 OATMEAL

X=4 9/10 OATMEAL

X=(7/10*1)/4 9/10

=4 9/10*10/7

=490/70

=7

B is the midpoint of AC, what in the measure of AB if AC 82cm?​

Answers

Answer:

AB = 41 cm

Step-by-step explanation:

If B is the midpoint of AC, then B splits AC into 2 equal halves: AB & BC.

Therefore, AB = ½ of AC.

Given, AC = 82 cm.

So,

AB = ½ × AC

AB = 82/2

AB = 41 cm

_____

Hope it helps ⚜

1\2(x-12)=4 what is this

Answers

Answer:

1/2x=10

x=20

Step-by-step explanation:

x=5 because 1/2x-6=4

Move the other side and divide 1/2 by 10. dividing by 1/2 is the same as multiplying by 2 so the answer is 20

Answer:

x = 20

Step-by-step explanation:

       [tex]\sf \dfrac{1}{2}*(x-12)=4\\\\Multipy \ the \ entire \ equation \ by 2\\\\ 2*\dfrac{1}{2}(x - 12) =2*4\\\\[/tex]

              x -  12   = 8

Add 12 to both sides,

                    x = 8 + 12

                    [tex]\sf \boxed{x = 20}[/tex]

3f–4g=1
6f–6g=5
use the elimination method​

Answers

3f-4g= 1 —(1)
6f-6g= 5 —(2)
(1)x2:6f-8g= 2 —(1a)
(1a)-(2):(6f-8g)-(6f-6g)= 2-5
6f-8g-6f+6g= -3
-2g= -3
g= 3/2
Substitute g= 3/2 into (1):
3f-4(3/2)=1
3f-6=1
3f=7
f =7/3

A gym has an enrollment fee of $80. There is also a $25 fee per month of membership.

Answers

This is like a linear equation, (y = mx + b) where the cost per month is 25, and our b is the 80 to join in the first place:

y = 20x + 80

You did not share how much was paid for the membership, but if you put the total cost into y, then you can solve for x. Or you can find the total cost by entering in the number of months for x.

Answer:

Equation given

80+25(y)=x

y= Per month(So the amount of months that passed)

x=Total amount

Find the factor of each ff.
10x²-21x-27​

Answers

Answer: (10x + 9) (x - 3)

Step-by-step explanation:

Factor by grouping

Given the following GPA for 4 students: 2, 3, 3, 4. Age of students are: 10, 11, 12, 15. There are 10,000 total students. Average GPA: Unknown, Standard Deviation of GPA: 0.02 and it's Normal. a. Find the mean and standard deviation for GPA. (10 points) b. Calculate a 95% confidence interval for the populations mean GPA. (5 points) c. Use Correlation formula to find r between GPA and Age. (10 points) d. Find Regression Line Equation. (5 points)​

Answers

The mean and standard deviation for the GPA of the students will be 3 and 0.8165.

How to calculate the mean?

The mean simply means the average of a given set of numbers. The mean will be:

= 12/4

= 3

The standard deviation will be:

= ✓2/3

= 0.8165

The 95% confidence interval for the populations mean GPA will be 1.70 < U < 4.30. The interval lower limit is:

= 3.00 - 1.299.l

= 1.70

The interval upper limit will be;

= 3.00 + 1.299

= 4.30

Also, the regression line is Y = -1.2857 + 0.3571x.

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Need help asap thanks

Answers

Answer:

x=1

Step-by-step explanation:

f(x)=-4x^2+8x-28 (Identify the cofficients)

a=-4, b=8 (Substitute the coefficients into the expression)

x=-8/2(-4) (solve the equation)

x=1

please tell me if i am wrong :)

Please solve with explanation (high points)

Answers

The measure of the length GF is 4.2 units and IH is 2.27 units. Then the measure of angle ∠ACB will be 24.35°.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The triangle ΔABC and triangle ΔGFC are similar triangles. Then we have

  GF / BA = CF / BC

GF / 5.62 = 8.88 / 12.42

          GF = 4.018

          GF ≅ 4.02

The triangle ΔABC and triangle ΔIHC are similar triangles. Then we have

  IH / BA = HC / BC

IH / 5.62 = 5.02 / 12.42

          IH = 2.271

          IH ≅ 2.27

Then the angle ∠ACB will be

∠ACB = tan⁻¹ (5.62 / 12.42)

∠ACB = tan⁻¹ 0.452

∠ACB = 24.35°

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which equation represents a line that passed through (2,-1:2) and has a sloe of 3

Answers

The equation that represents a line that passed through (2,-1:2) and has a slope of 3 is y = 3x - 18

How to determine the equation of the line?

The points are given as:

(x1, y1) = (2, -12)

The slope is given as:

m = 3

The equation of the line is calculated using:

y = m(x - x1) + y1

So, we have:

y = 3(x - 2) - 12

Open the bracket

y = 3x - 6 - 12

Evaluate

y = 3x - 18

Hence, the equation of the line is y = 3x - 18

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