Simplify the following expression:
-5a + 3b - (-2а) - 7b
Show me how you do it please.

Answers

Answer 1

Answer:

- 3a - 4b

Step-by-step explanation:

note that - (- ) = + and + (- ) = -

- 5a + 3b - (- 2a) - 7b

= - 5a + 3b + 2a - 7b ← collect like terms

= (- 5a + 2a) + (3b - 7b)

= - 3a + (- 4b)

= - 3a - 4b


Related Questions

The campers at a summer camp were asked to choose a favorite activity. The table shows the activities chosen by 200 campers.
Favorite Number of
Activity Campers
Softball 25%
Volleyball 15%
Rowing 10%
Swimming 30%
Hiking 20%
How many campers chose volleyball as a favorite activity?

Answers

answer: 30
200(.15) = 30

There are 30 campers out of 200 who like volleyball.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100.

Given that, The campers at a summer camp were asked to choose a favorite activity. The total number of campers were 200.

Favorite Number of Activity Campers :-

Softball 25%

Volleyball 15%

Rowing 10%

Swimming 30%

Hiking 20%

We are asked to find campers chose volleyball as a favorite activity,

Since, 15% of the campers choose volleyball,

That mean, there are 15% of the 200 people who chose volleyball,

Therefore,

15% of 200 = 15 /100 × 200 = 30

Hence, there are 30 campers who chose volleyball.

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equation of a line that is perpendicular y=-5/6x-2 with the slope being (10,15)?

Answers

EQUATION OF A LINE IS y = mx + c

When lines are perpendicular, the values in front of the x multiply to -1

-5/6 * ? = -1
-1/-(5/6) = 6/5

so far we have: y = 6/5x + c

From the coordinates x = 10, y = 15
Substitute these into equation

15 = (6/5 * 10) + c
15 = 12 + c
3 = c


ANSWER IS y = 6/5x + 3

Math Help Please if you can

Answers

The lines are all originated from

The midpoint of the sides.

This means the inside lines are crossed in thirds.


sp = 1/3 of sz, so pz = sp x 2


pz = 3.5 x 2 = 7


answer: PZ = 7

Your answer will be 7! Have an amazing day!

Solve for x.
A. 6/3

B. 5

C. 12

D. 12.5

Answers

Answer:

x=12

Step-by-step explanation:

Using Proportion:

[tex]\tt \cfrac{x}{16} =\cfrac{9}{x}[/tex]

[tex]\tt x^2=9(16)[/tex]

[tex]\tt x=12[/tex]

2
A101
4
Which expression is equivalent to
5
4 4
4
1
2
4
TIC
?
0
0 0
2
4

Answers

Answer:

option c. 2

...........

2.382 rounded to the nearest hundreds answer quickly pleace

Answers

Answer:

2.38.

Step-by-step explanation:

Let it be:

2.382

Then, round to the nearest hundredths:

2.382≈ 2.38.

After rounded it to the nearest hundreds, the number is,

⇒ 2.38

We have to given that,

Round a number 2.382 to the nearest hundreds.

Here, The number is,

⇒ 2.382

Since, Number in thousandth place is, 2

Which is less than 5.

Hence, After rounded it to the nearest hundreds, we get;

⇒ 2.382 ≈ 2.38

Therefore, The solution is, 2.38

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Tickets to a play cost $8 cach. Write an expression that gives the ticket cost in dollars for a group of g girls and b boys.

Answers

Answer:

8b + 8g = T

Step-by-step explanation:

So, $8 per boy and $8 per girl = Total cost

8*boy + 8*girl = total

The lines shown below are parallel. If the green line has a slope of -, what is
יד
the slope of the red line?
10
O A.
5
ОА?
OB.
O B.
7
3
5
10
16
a
C.
Gruw
-10
O D.
OD

Answers

It will be the same because they are parallel so C is the answer

The slope of the red line is -3/7.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have two lines one is red and other is green.

As, the slope of green line is -3/7 and the red line is parallel to green line.

We know that the parallel lines have same slope.

Then, the slope of red line is -3/7.

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A researcher is comparing the effectiveness of three devices designed to help people who snore. There are 120 people who snore participating in the experiment. Using a table of random digits, the researcher will randomly place the participants into three equally sized treatment groups suitable for comparison.

How many unique random numbers need to be selected from the table of random digits?

3
40
80
120

Answers

Answer:

40

Step-by-step explanation:

Divide 120 by 3

Meaning you are taking the total nuber by the nuber which is going to be divided

The total number of unique random numbers needed is 120 numbers.

What is Statistic?

A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.

To randomly assign 120 people into three equally sized treatment groups, the researcher needs to select 120 unique random numbers from the table of random digits.

Each number will correspond to one of the 120 participants and determine which treatment group they will be assigned to.

Since there are three equally sized groups, each group should have 40 participants. Therefore, the researcher needs to select 40 unique random numbers for each group.

So, the total number of unique random numbers needed is:

3 groups x 40 numbers per group = 120 numbers

Therefore, the correct answer would be option (D) 120.

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the number 54 is a multiple of 9 TRUE OR FALSE
the number 16 is a multiple of 2 TRUE OR FALSE
the number 48 is a multiply of 9 TRUE OR FALSE
the number 32 is a FACTER of 8 TRUE OR FALSE
6 is a factor of 12 TRUE OR FALSE

Answers

The number 54 is a multiple of 9 True
The number 16 is a multiple of 2 True
The number 48 is a multiple of 9 False
The number 32 is a factor if 8 True
6 is a factor of 12 True

Answer:

It is true for the number 54 is a multiple of 9

It is true for the number 16 is a multiple of 2

It is false for the number 48 is a multiply of 9

It is true for the number 32 is a FACTER of 8

It is true for 6 is a factor of 12

Step-by-step explanation:

9*6=54

8*2=16

9*5=45 in order to get 48 you have to multiply 8*6

8*4=32

6*2=12

Exam: 05.03 Exponential and Logarithmic Functions Mid-Module Check


Solve 4x = 8x − 1

Answers

If 4x = 8x - 1 then 4x must be equivalent to 1. So that means x is .25 or 1/4.

Hope this helps!
(I assumed your trying to solve for x, please word the question better next time)

Answer:

x = 1/4

Step-by-step explanation:

subtract,simplify, and divide

According to the Internal Revenue Service (IRS), a single taxpayer with a tacable income between $63,550 and $132.600 in 2000 paid $14,382 plus 31% of the amount over $63.550. If Azim paid $23,665 in federal
income tax for 2000, then what was his total taxable income for the year?

Answers

Answer:

  $93,495

Step-by-step explanation:

The tax amount is described as ...

  t(x) = 14,382 +0.31(x -63550)

This can be simplified a bit to ...

  t(x) = 0.31x -5318.50

Using 23,665 for the amount paid, we find the income to be ...

  23665 = 0.31x -5318.50

  28983.50 = 0.31x . . . . . . . . add 5318.50

  93495.16 = x . . . . . . . . . . . divide by 0.31

Azim's total taxable income for the year was about $93,495.

_____

Typically, all amounts on an IRS tax form can be rounded to the nearest dollar. This holds both for the income and for the tax.

Ky recorded the results of his basketball free throw practice for three different sessions in the table shown, 3 misses to 10 attempts. If the ratios remains the same, how many free throws would kyle make if he misses 15 free throws in his next practice session?

Answers

Answer:

50 free throws

Step-by-step explanation:

3 : 10 = 15 : x

3x = 150

x = 50

if a fish swims 7/8 of a depth of a 32 ft deep lake how many feet down did the fish swim ​

Answers

Answer:

28 feet

Step-by-step explanation:

[tex]\frac{7}{8} * 32 = \frac{7}{1} * 4[/tex] [tex]7 * 4 = 28[/tex] [tex]28 = 28[/tex]

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

28 feet

Step-by-step explanation:

We need to find 7/8 of 32...

7/8*32=224/8=28

You can also start by cancelling the 8 and the 32 (32/8=4) like so...

7/8*32=7*4=28

The fish swam 28 feet down

2/3 x 18 is my question what is the sum

Answers

Answer:

12

Step-by-step explanation:

[tex]\frac{2}{3} * 18 = \frac{36}{3}[/tex] [tex]\frac{36}{3} = 12[/tex]

Therefore, the answer is 12.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

12

Step-by-step explanation:

give person above brainliest <3

_____

2/3 x 18 = 12

Grapes cost $2.39 per pound and bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b pounds of bananas. Make an input-output table, graph the table, write the equation: y=mx+b, and give 5 possible combinations.

Answers

Answer:

2.39g + 0.59b = 15

Step-by-step explanation:

Algebraic Expressions

Let:

g = pounds of grapes

b = pounds of bananas

Since grapes cost $2.39 per pound, g pounds of grapes cost 2.39g dollars.

Since bananas cost $0.59 per pound, b pounds of bananas cost 0.59b dollars.

The total cost of fruits is:

C = 2.39g + 0.59b

And this cost is equal to $15:

2.39g + 0.59b = 15

This is the equation that relates the costs of the fruits. If another condition was given, then we could find how many pounds of each fruit is to be purchased.

What is the y intercept

Answers

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.

Help me answer this please. I'm not in school because of the pandemic and I don't want to fail my math class. (we just started doing these.)

Answers

Angle 3 is 52°
Angle 2 and 3 are supplementary angles which means two angles that add up to 180°/ make a straight line. 180 - 128 = 52

(b) In a lab, a substance was heated by 6 °C each hour for 24 hours. What was the total change
in temperature?
l

Answers

Answer:

144

Step-by-step explanation:

Refer to the table below if needed.
Second Quadrant
Third Quadrant
Fourth Quadrant
sin(1800-e) = sine
sin(1800 +) = -sino
sin(3600-0) = - sino
cos(180°-2) = - COS
cos(1800 +) = - COS
cos(360°-) = cos
tan(180°-2) = - tane
tan(180° +2) = tano
tan(360°-O) = - tane
cot(1800-0) = -coto
cot(180° +0) = cote
cot(3600-0) = - coto
sec(180° +2) = - Seco
sec(360° -2) = seco
sec(180°-o) = - Seco
csc(180° -2) = CSCO
CSC(180° +) = - CSCO
CSC(3600-0) = - CSCO
The quadrants in which tane and cote are positive.
IV

Answers

A quadrant is the area that is divided into the x and y axes

The quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III

How to determine the quadrants

The tangent of an angle is calculated as:

[tex]\tan(\theta) = \frac{sin(\theta)}{\cos(\theta)}[/tex]

While the cotangent of the angle is calculated as:

[tex]\cot(\theta) = \frac{cos(\theta)}{\sin(\theta)}[/tex]

The above equations mean that:

For the tangent and cotangent of an angle to be positive, then the sine and the cosine of the angle must have the same sign.

In the first quadrant, the sine and the cosine angles are positive.In the third quadrant, the sine and the cosine angles are negative.

Hence, the quadrants in which tan [tex]\theta[/tex] and cot [tex]\theta[/tex] are positive are I and III

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If there are 24 boys and 60 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer:

24:60

60:24

Step-by-step explanation:

Answer:

24:60 = 24/3:60/3 = 8/20 = 8/4:20/4 = 2:5

You have learned what astronomers think about the possibility of there being other worlds like our Earth. Based on what you learned, select all of the correct statements from the following list.

A. Most of the other planets in our own solar system are not Earth-like.
B. Astronomers think that planets are uncommon.
C. A number of planets orbiting other stars have been detected.
D. Many stars seem to have planets.
E. planets orbiting other stars are easy to detect.
F. Earth-like worlds are so small and distant that they have not yet been detected.

Answers

Based on astronomical science, the correct statements about the possibility of having other worlds like our planet Earth include:

A. Most of the other planets in our own solar system are not Earth-like.

C. A number of planets orbiting other stars have been detected.

D. Many stars seem to have planets.

F. Earth-like worlds are so small and distant that they have not yet been detected.

What is a solar system?

A solar system can be defined as a collection of the outer and inner planetary (astronomical) bodies alongside the Moon that are in orbit around the Sun, in slightly elliptical orbits.  

The planets in the solar system.

Basically, there are nine (9) planets in the solar system and these include;

MercuryVenusEarthMarsJupiterUranusNeptunePlutoVenusSaturn

Based on astronomical science, many stars have planets and a number of planets that orbit other stars have also been detected by astronomers.

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If you were to sketch a circle graph for the data shown in the table below, about what fraction of the circle would represent dogs?

Answers

Answer:

A

Step-by-step explanation:

To find the fraction of how many would choose dogs, we would have to add all of it together to find the sample size, then divide the number of people who would choose dogs to find the percentage of people who would represent dogs.

Using that percentage, we can then find the fraction close to it.

Let's find the sample size, 43+35+62=140

People who choose dogs: 35

Let's divide to find the fraction: [tex]\frac{35}{140} =\frac{1}{4}[/tex]

(we can simplify this fraction by seeing that four '35's fit into 140.

As Venus revolves around the sun, it travels at a rate of approximately 22 miles per second. Convert this rate to kilometers per second. At this
rate, how many kilometers will Venus travel in 10 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not
round
your answers.

Answers

Answer:

13.75 m/sec

Step-by-step explanation:

Since the 'per second' part stays the same, simply multiply 22 kilometers by the reciprocal of 1.6:

[tex]22(\frac{1}{1.6})[/tex]

then simplify the fraction:

[tex]= 22(\frac{10}{16})[/tex]

[tex]= 22(\frac{5}{8})[/tex]

and solve to get

[tex]= 13 \frac{3}{4}[/tex] miles per second as the answer.

or optionally:

13.75 m/sec

there are two buses at the bus stop, one is at the bus stop every twenty-five minutes. the other is there every fifteen minutes. how many minutes until both buses are at the bus stop again?

Answers

Answer:

Bus A will take 75 minutes and Bus B will take 75 minutes as well.

Step-by-step explanation:

Say the buses start at 8 am and the first stop is 25 of 15 minutes, whenever they're supposed to stop:

Bus A: 8:25, 8:50, and 9:15

Bus B: 8:15, 8:30, 8:45, 9:00, and 9:15.

I hope this helped!

Please I need this answer fast

Answers

Answer:

c x approaches -infinity and y approaches -infinity and vice versa

Step-by-step explanation:

graphed on calculator

The figure shows a triangle with 2 congruent sides. The angle between the congruent sides measures x degrees and a different angle measures 70 degrees. The angles opposite the congruent sides of an isosceles triangle are congruent. Find the value of x in the triangle.

Answers

Answer:

40°

Step-by-step explanation:

Since the triangle is isosceles and the angle between the congruent sides is x, the other two angles measure the same value.

Sum of the interior angles is 180°:

x + 2*70° = 180°x + 140° = 180°x = 40°

The roots of the quadratic equation $z^2 + bz + c = 0$ are $-7 + 2i$ and $-7 - 2i$. What is $b+c$?

Answers

Answer:

67

Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,

\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$

Also,

\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.

There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.

This is the aops answer :)

The required value of b+c is 39.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation,

z² + bz + c = 0

Also, the roots of the equation are -7 + 2i and -7 - 2i.

The sum of the roots

b / 1=  -7 + 2i +  -7 - 2i

b= -14

The product of the root

c/1 = (-7 + 2i)(-7 - 2i ) = 49 - (2i)² = 49 - 4i² = 49 + 4 = 53

c = 53

The required value of b and c

b + c = 53 - 14 = 39

The value of b + c is 39.

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2. y = 55.(1 – 0.02)'
A. Does this function represent exponential
growth or exponential decay?

Answers

the tale-tell part of an exponential expression will be the "rate" or namely the part inside the parentheses, if the rate is less than 1, is Decay, if it's more than 1 is Growth.

(1 - 0.02) => 0.98, and 0.98 is less than 1, thus is Decay.

The given exponential function represent exponential decay.

The given function is [tex]y=55(1-0.02)^t[/tex].

The quantity decreases slowly after which the rate of change and the rate of growth decreases over a period of time rapidly. This decrease in growth is calculated by using the exponential decay formula.

[tex]Amount=Initial\ Value(1-\frac{r}{100} )^t[/tex]

Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is

y=0.

Horizontal Asymptote: y=0

Graph the equation in order to determine the intervals over which it is increasing or decreasing.

Always decreasing

Therefore, the given exponential function represent exponential decay.

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The homeowners association for a residential community is selecting a committee of 7. There are 24
candidates for positions. How many possible committees can be formed?

Answers

Answer:

Therefore the number of possible committee that can be formed is 346,104

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Calculate the plane'sheight above ground level at the time of the bird strike to the nearest tenth of a foot.The plane still climbed in altitude for 19 more seconds after the bird strike even after it lost thrust in both engines,reaching a maximum height of 3060 ft.2.) In order to reach its maximum height of 3060 ft., the plane had to increase its altitude by 242 ft and travel ahorizontal distance of 7150 ft.(a) Calculate the distance the plane had to travel in order to increase its altitude by 242 ft. Round your answerto the nearest tenth of a foot.(b) Find the angle of elevation (to the nearest hundredth of a degree) at which the plane climbed during thistime interval. You do not have to draw a diagram to answer this part of the question.3.) At this point, the plane started to descend. As the plane turned, its altitude dropped from 3060 feet to 1650 feetabove ground level. 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