In the expression 4ab + 5a
- 3c, what is the coefficient of the term 4ab ?

Answer:

∠DOB=108°

Step-by-step explanation:

∠AOD=∠COB=y

∠AOC=3.5y-y-y

          =1.5y

3.5y+1.5y=360° (angles at a pt)

          5y=360°

             y=360°÷5

               =72°

         1.5y=72°×1.5

               =108°

Hence, ∠DOB=108°.

Answer:

108

Step-by-step explanation:

Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; https://brainly.com/question/1638242

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in [tex]y=mx+b[/tex] form. In this for the following are:

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Upon inserting our points into the equation, we get a slope of -1.

[tex]\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1[/tex]

Creating The Equation

To create the equation in [tex]y=mx+b[/tex] form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

[tex]y=-1x-2[/tex]

We know the slope has to be -1 as we solved for that, and because the line is decending downwards, we can interpret the slope as down 1 right 1.

We know that b is -2 because the y intercept is -2 and b is equal to the y intercept. Therefore the b cation is -2.

Cheers!

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

Answer:

A

Step-by-step explanation:

Mark brainliest please

Answer:

n = 8

Step-by-step explanation:

Both given angles are verticale angles therefore they are congruent, so;

9n = 8n + 8

(9n - 8n) = 8

n = 8

Hope this helps!

It would take 12 men 18 days to complete the job.

1) g ∝ h

g = kh; where k is the constant of variation.

g = 64, h = 8, hence:

64 = 8k

k = 8

g = 8h

2) j ∝ 1/h

j = k/h; where k is the constant of variation.

j = 190, h = 7, hence:

190 = k/7

k = 1330

j = 1330/h

When h = 70:

j = 1330/70

j = 19

3) y represent number of men and x represent the days

y ∝ 1/x

y = k/x

9 = k/24

k = 216

y = 216/x

For 18 days:

y = 216/18 = 12 men

Hence it would take 12 men 18 days to complete the job.

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Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

Answer:

127/64  

Step-by-step explanation:  

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64  

add all the given and it will result to 127/64

Answer:

a is 7 b is 4 and c is -20

Step-by-step explanation:

it is always in order of a b and c

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

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Answer:

Jeremy

Step-by-step explanation:

You need to add 20+13+15=48 Then you add 20+47+18=85.

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

Answer:

10.05 , 10,0

Step-by-step explanation:

really sorry if theses aren't the answers your looking 4 !

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

Answer:

1400

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

You can find out by inputting your values

2y + 3x = 13

x = 5

y = - 1

2(- 1) + 3(5) = 13

- 2 + 15 = 13

13 = 13

Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

Answer:

1 red marble to 6 total marbles

Step-by-step explanation:

There are 3 red marbles, and (10 + 5 + 3) total marbles.

There are 3 red marbles to 18 total marbles

therefore the ratio is 3 to 18 which can be simplified by dividing both sides of the ratio by 3

the ratio is 3/3 : 18/3 which is 1:6

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

Learn more simultaneous equations at https://brainly.com/question/148035

#SPJ1

Answer:

No

Step-by-step explanation:

That is not a function because it didn't pass the vertical line test

Answer: y=10x

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is y=1x+2

Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.

Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6