Simplify the following 2a + 3b + 4a – 7b

Answers

Answer 1
6a - 4b

You would take 2a and add 4a to it which will give you 6a. Then you will take -7b and add 3b to it. I usually just subtract when the bigger number is a negative. Once you do that though you will get -4b. Finally your answer will be 6a -7b
Answer 2

Answer:2a

We add 2 and 3 and we get 5 then we do 4-7=-3. Then we do 5-3=2 and we add a.(we only add all a’s when we multiply)

And the answer is 2a


Related Questions

What is the solution to the inequality 8(7 - x) < 64?
a. X<-1
b. x<1
C. X > -1
d. x > 1​

Answers

Answer:

C)  x > - 1

Step-by-step explanation:

8(7 - x) < 64

56 - 8x < 64

56 - 64 < 8x

- 8 < 8x

- 1 < x

x > - 1

Answer:

The answer is c, or x > -1.

Step-by-step explanation:

Problem: 8(7-x) < 64

Distributive Property - So multiply 8 by both 7 and x individually

56 - 8x < 64

Subtract 56 from both sides

-8x<8

Divide both sides by 8 and flip the sign because whenever you divide or multiply an inequality by a negative number, you flip the sign.

x>-1

Hope that helped!

2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT

Answers

The answer to your question is 3

PLSS HELP !!!A data set has a standard deviation of 2.5. The element 16 is an element of a data set, with a z-score of 2.4. What is the mean of the data set?

Answers

Answer:

10

Step-by-step explanation:

Given the following parameters

standard deviation σ = 2.5

z-score Z = 2.4

observed value x = 16

Mean of the dataset μ = ?

Using the formula for calculating the z-score as shown to calculate the mean

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

On substituting the values;

[tex]2.4 = \frac{16-\mu}{2.5} \\2.4 * 2.5 = 16-\mu\\6 = 16-\mu\\\mu = 16-6\\\mu = 10[/tex]

The mean of the dataset is 10

Which equation is represented by the graph below?

Answers

y= -1/2x+2 since the y-intercept is 2 and the slope is going down by 1/2, you can find the equation using the y=mx+b form

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

simplify the expression -2 + 15

Answers

Answer: 13

Step-by-step explanation: 15-2=13

Answer is 0 but I think 13 too

The initial point of a⃗ is (−2,4), and its terminal point is (−5,−2). What is the value of ‖a⃗ ‖? Give your answer as a simplified radical.

Answers

Answer:

[tex]3\sqrt{5}.[/tex]

Step-by-step explanation:

It is given that the initial point of [tex]\vec{a}[/tex] is (-2,4) and terminal point is (-5,-2). So, [tex]\vec{a}[/tex] is defined as

[tex]\vec{a}=(-5-(-2))\hat{i}+(-2-4)\hat{j}[/tex]

[tex]\vec{a}=(-5+2)\hat{i}+(-2-4)\hat{j}[/tex]  

[tex]\vec{a}=-3\hat{i}-6\hat{j}[/tex]

The magnitude of [tex]\vec{v}=a\hat{i}+b\hat{j}[/tex] is

[tex]|\vec{v}|=\sqrt{a^2+b^2}[/tex]

The magnitude of [tex]\vec{a}[/tex] is

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36}[/tex]

[tex]|\vec{a}|=\sqrt{45}[/tex]

[tex]|\vec{a}|=3\sqrt{5}[/tex]

Modulus of magnitude is

[tex]||\vec{a}||=|3\sqrt{5}|=3\sqrt{5}[/tex]

So, the magnitude of [tex]\vec{a}[/tex] is [tex]3\sqrt{5}.[/tex]

Find the slope of the line through (2, -3) and (-4, 3).

Answers

Answer:

Slope= -1x OR -x

Step-by-step explanation:

rise over run: y2 - y1 / x2 - x1

= 3 - (-3) / -4 - 2

= 6 / -6

= -1

Answer:

Y=-x-3 slope =-1

Step-by-step explanation:

To first find the gradient u have to subtract the y intercepts and the x intercepts

3--3/-4-2

=6/-6=-1

Y-3/x--4=-1

Y-3=-1(x+4)

Y-3=-x+-4

Y=-x-4+3

Y=-x-3

Slope=-1

Write the set of real numbers x less than 6 in set builder notation

Answers

Answer:

{x ∈ R: x<6}

Step-by-step explanation:

Given

x is a real numberx is less than 6

Required

Write the set using set builder notation

The very first thing to do is to list out the range of x, using inequalities;

x is less than 6 implies that -infiniti < x < 6

The next step is to translate this to set builder. This is done as follows

x ∈ R - > This means that x is a real number

x < 6 -> where x is less than 6.

Bringing these two together, it gives:

{x ∈ R: x<6}

Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation

Television sets used to come with an aspect ratio of 4:3 (width is 4 units and height is 3 units). Since broadcast channels in the United States are now broadcasting in 16:9, most newer sets come with a 16:9 aspect ratio. Your brother believes that since you can rewrite the ratio 16:9 as 42:32, that means a 4:3 television set is similar to a 42:32 television set. Is this true? What argument would you use to clarify your or your brother’s thinking? What are the dimensions of a television set that would be similar to the 4:3 set?

Answers

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

BRAINLIEST FOR THE FIRST ANSWER!!! its easy but im lazy tehe Evaluate the following expression for s = 6 and t = - 8. s(6 - t) + 7(s + 1)

Answers

Answer:

133

Step-by-step explanation:

We are given the expression:

s(6-t)+7(s+1)

We are also given s=6 and t= -8. Therefore, we can substitute 6 in for s and -8 in for t.

6(6--8) +7(6+1)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

First, solve inside the parentheses. Subtract 6 and -8.

6(14)+7(6+1)

Solve the other set of parentheses. Add 6 and 1.

6(14)+7(7)

Multiply 6 and 14.

84+7(7)

Multiply 7 and 7

84+49

Add 84and 49

133

Answer:

133

Step-by-step explanation:

s(6 - t) + 7(s + 1)

Plug in numbers:

6(6 - (-8)) + 7(6+ 1)

using Bedmas, solve:

Brackets first: 6(14) + 7(7)

Solve multiplication: 84 + 49

Add together: 133

Pls solve for x hurry !

Answers

Answer:

7

Step-by-step explanation:

7x + 68 = 2x + 103

Subtract 2x from each side

5x + 68 = 103

Subtract 68 from each side

5x = 35

divide 5 from 35 and you get X = 7

A. -3/2
B.2/3
C.-2/3
D.3/2
I need help pls

Answers

Answer:

The slope of the line is D. 3/2.

Step-by-step explanation:

D. 3/2 (go up 3 and to the right 2)

What was the mean number of peas in a pod 2 4 5 6 6 7 8 10 14 18

Answers

Answer:

The mean is 7.5

Step-by-step explanation:

1.add all of the numbers together

2.Divide by 10 since you have 10 numbers to add

Hope this Helps!

Which of the following is equivalent to RootIndex 5 StartRoot 13 cubed EndRoot? 132 1315 13 Superscript five-thirds 13 Superscript three-fifths

Answers

The root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

What is root index?

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

According to the question,

5 start root 13 cubed end root can be written in root index form.

If 'n' is a positive integer that is greater than 1, and 'a' is a real number then "n √a = [tex]a^\frac{1}{n}[/tex]  where 'n' is root index, 'a' is base and '√' is radical".

= [tex]13^\frac{3}{5}[/tex].

Hence, the root index of 5 start root 13 cubed End root is [tex]13^\frac{3}{5}[/tex].

Learn more about root index here

https://brainly.com/question/17775178

#SPJ2

Answer: D

Step-by-step explanation:

you're welcome

What is this angle ?


A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.

Answers

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

Find last​ year's salary​ if, after a 4 % pay​ raise, this​ year's salary is $ 33,280.

Answers

Answer:

32000

Step-by-step explanation:

1.04x=33280

32000

HELP EASY PHYSICS QUESTION URGENT :))
A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally. What is the horizontal distance the ball travels before returning to the ground?

a.15.5 m

b.17.5 m

c.19.5 m

d.21.5 m

Answers

Answer:

The horizontal distance the ball travels before returning to the ground is 19.5 m

Step-by-step explanation:

Formula of range of horizontal distance =[tex]\frac{u^2 Sin 2 \theta}{g}[/tex]

Where u is the initial velocity

g is gravity

We are given that A ball is kicked off the ground with a velocity of 15 m/s at an angle of 30° horizontally.

So, u = 15 m/s

[tex]\theta = 30^{\circ}[/tex]

g = 10

So, the horizontal distance the ball travels before returning to the ground = [tex]\frac{15^2 Sin 2(30^{\circ})}{10}=19.48 \sim 19.5 m[/tex]

Hence The horizontal distance the ball travels before returning to the ground is 19.5 m

Which graph represents a proportional relationship?

Answers

Answer: D) The bottom right image

Step-by-step explanation: The linear graph is the one that represents a proportional relationship, the graph goes through the origin. You want it to go through the origin.

I hope this helps!

Question in screenshot. Please help

Answers

The answer is D, 48% of the students preferred the sea coast

Answer: D

Step-by-step explanation:

72/150 x 100 = 48%

5. A model of Earth is located 7600 meters from the Globe Arena in Sweden’s solar system model. The volume of the model is approximately 3052.08 cubic centimeters. What is the length of the radius of the

Earth model?

Solve each problem. Use 3.14 for p.

Answers

Answer:

the length of the radius of the Earth Model = 9cm

Step-by-step explanation:

The volume of the model of Earth is approximately 3052.08 cubic centimeters.

It has been discovered that the Earth is spherical in shape, hence this model is spherical as well.

The formula for the Volume of a Sphere = 4/3 πr³

Where r = radius or the length of the radius

The Volume of the Earth Model = 3052.08 cm³

We are told to use π = 3.14

To find the length of the radius, we have derive the formula

V = 4/3 × π × r³

V = 4πr³/3

Cross multiply

3V = 4πr³

Divide both side by 4π

3V/4π = r³

We find the cube root of both sides =

∛(3V/4π) = r

Substituting our given values in the question, we have:

∛(3 × 3052.08/ 4 ×3.14) = r

r = ∛9156.24÷12.56

r = ∛729

r = 9cm

Therefore, the length of the radius of the Earth Model = 9cm

Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).

Answers

Answer:

cos (α + β) = 0.9196

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

What is the product of (-3s+2t) (4s-t)?
A: -12s^2 -2t^2
B: -12s^2 + 2t^2
C: -12s^2 + 8st - 2t^2
D: -12s^2 + 11st -2t

Answers

Answer:

c

Step-by-step explanation:

(-3s+2t)(4s+t)=-12s^2-3st+8st+2t^2 =  [tex]-12s^2+8st-2t^2[/tex]

The answer would is C

Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%​

Answers

Answer:

4) 7.9%

Step-by-step explanation:

Given:

% of milk chocolate = 70%

% of white chocolate = 30%

Total number of chocolate = 20

Number of milk chocolate:

[tex] \frac{70}{100} * 20 = 14 [/tex]

Number of white chocolate:

[tex] \frac{30}{100} * 20 = 6 [/tex]

From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.

2 white chocolates are picked at random without replacement.

Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]

Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]

To find probability that both of them are white chocolates, multiply probability of the first and second.

0.3 * 0.2632 = 0.07896

≈ 0.079

Convert to percentage by multiplying by 100.

0.079 * 100 = 7.9%

The probability that they are both

white chocolate is 7.9%

Which figure is represented by the net shown below?

Answers

Answer:

WAY BELOW...

Step-by-step explanation:

So first look at the base. It is an octagon.

Look at the answers now. You can eliminate the ones that don't have triangles, and you have two pyramids. One has a hexagon base and one has a octagon base.

That's the answer.

Answer:

Hey!

Your answer is BELOW!!!

Step-by-step explanation:

HOPE THIS HELPS!!

answer options : 120, 60, 180 or 90

Answers

180 I believe - sorry if it’s wrong :(

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1

Answers

Answer:

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term

Step-by-step explanation:

When Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?

Answers

Answer:

0.07

Step-by-step explanation:

Help asap plzz
-3x + 7 = -8

Answers

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

What is the product?

pls help dis is timed :(

Answers

Answer: I think is c

Step-by-step explanation:

Please please please help me I’m about to fail

Answers

Answer:

3 plus 3 and 9 plsu 9 is 23 or 25 hope it help lil boy or girl

Step-by-step explanation:

the answer is in the top

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