Brian earns $5 per hour babysitting. He makes a graph and plots what he
earns for different numbers of hours. He places the number of hours he
works on the x-axis and his earnings on the y-axis. What is the slope of the
line that Brian graphs?

Given :

Let, capacity of small bottle is x and large bottle is y.

To Find :

How much does each bottle hold ?

Solution :

For condition 1 :

3x + 4y = 3312   ...1)

For condition 2 :

2x + 4y = 2888  ...2)

Subtracting equation 2) from equation 1), we get :

x = 424

Putting value of x in equation 1) is :

[tex]y = \dfrac{2888 - (2\times 424)}{4}\\\\y = 510[/tex]

Therefore, capacity of small bottle is 424 gram and large bottle is 510 gram.

Answer:

6

Step-by-step explanation:

cuz in a normal die there r 6 outcomes

Answer: 1/8 x, the second option

Step-by-step explanation:

(5)(1/8)(x) = 5/8 x

(11)(1/8)(x) = 11/8 x

Both have 1/8 * x in common

1/8 * x = 1/8 x

Answer:

15389.14

Step-by-step explanation:

You may need to round

4901 without pi

Answer:

2 and 3 dear friend

Step-by-step explanation:

Answer:

be more clear pls- is it multiple choice orrr? that's all I need to know to answer it.

Step-by-step explanation:

Answer:

A histogram is a bar graph that represents grouped data

Answer:

It is linear

Step-by-step explanation:

check graph img

Answer:

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Explanation:

Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.

The prepositions in the given sentences are underlined as follows-

1. The bus shuttles between Delhi and Gurgaon.

2. The children ran across the bridge.

3. Towards evening, you can hear the frogs croak.

4. I dug the flowerbeds with a spade.

5. The mountaineer reached the peak with great difficulty.

Answer:

Step-by-step explanation:

Answer:

y - 3 = 6(x - 8)

Step-by-step explanation:

slope point form :<

Answer:

Let's define the variable x as the number of apples in each bag.

We know that she bought 4 bags, then the total number of apples that she has is:

Apples = 4*x

Now she eats one apple for each bag, then she eats 4 apples, so she now has:

Apples = 4*x - 4

And we know that this is equal to 28, then:

4*x - 4 = 28

now we can solve this for x.

4*x = 28 + 4 = 32

x = 32/4 = 8

x = 8

There are 8 apples in each bag.

For the diagram part, by a small online search y found the image that you can see below.

The diagram that correctly represents this situation is diagram C, where x represents the number of apples in each bag.

R=8ft

Step-by-step explanation:

Calculate r using the given formula

r = , with Area = 64π

r = ← cancel π on numerator/ denominator

r = = 8

The required value of radius of circle r is 8 ft

From Figure the area of circle is = 64π, we have to find the radius of the circle.

Area of the circle is = π[tex]r^2[/tex]

since

the area of the circle is given = 64π

And,
Radius = √area/π
radius= √64π/π
Radius = √64
Radius = 8 ft

Thus The required value of radius of circle r is 8 ft.

Learn more about circle here:
https://brainly.com/question/11833983

#SPJ2

Answer:

n = 84

Step-by-step explanation:

63 = n x 3/4

n = 63 / (3/4)

n = 63 / 3 x 4

n = 21 x 4

n = 84

Hope that helps!

Answer:

y - 6 = 2(x + 4)

Step-by-step explanation:

Point slope form is y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex]).

[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the points that they give you in the problem, which is (-4, 6), and m is the slope, which is 2.

When you plug everything in, you should get

y - 6 = 2(x + 4).

Answer:

So, the correct answer is that as x gets bigger, f(x) moves towards positive infinity.

Answer:

Answer:

the length of the base of the pyramid =2×58=116

since the mid segment line from the midpoint is half of the third one.

Answer:

the length of the base of the pyramid =2×58=116

Step-by-step explanation:

Answer:

1) We have the system:

5*x - 3*y = 15

4*x + 3*y = 6

To solve this, we first need to isolate one of the variables in one of the equations, let's isolate x in the first equation:

x = 15/5 + (3/5)*y = 3 + (3/5)*y

Now we can replace this in the other equation to get:

4*( 3 + (3/5)*y) + 3*y = 6

and solve this for y.

12 + (12/5)*y  + 3*y = 6

(12/5 + 3)*y = 6 - 12 = -6

(12/5 + 15/5)*y = -6

(27/5)*y = -6

y = -6*(5/27) = 1.11

Now we can replace this in the equation:

x = 3 + (3/5)*y

To get the value of x.

x = 3 + (3/5)*1.11 = 3.67

Then the solution of this system is the point (3.67, 1.11)

2) Now we have the system:

2*x + 5*y = 26

4*x + 3*y = 24

The solution method is the same as before:

x = 26/2 - (5/2)*y = 13 - (5/2)*y

Now we replace this in the other equation:

4*( 13 - (5/2)*y) + 3*y = 24

52 - 10*y + 3*y = 24

52 - 7*y = 24

52 - 24 = 7*y

28 = 7*y

28/7 = y

4 = y

now we replace this in the equatio:

x = 13 - (5/2)*y

x = 13 - (5/2)*4 = 13 - 10 = 3

The solution of this sytem is (3, 4)

3) Now we have the system:

3*x + 3*y = 39

2*x - 3*y = -2

first we isolate x in the first equation:

x = 39/3 - 3*y/3 = 13 - y

Now we can replace this in the other equation:

2*(13 - y) - 3*y = -2

26 - 2*y - 3*y = -2

26 - 5*y = -2

26 + 2 = 5*y

28 = 5*y

28/5 = y = 5.6

Now we can replace this in the equation:

x = 13 - y

To get the x-value

x = 13 - 5.6 = 7.4

Then the solution for this system is (7.4, 5.6)

Answer:

1.1     Solve   x-3y+7  = 0

recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x-3y+7  = 0 and calculate its properties

Step-by-step explanation:

The anser is in the screenshots

Answer: Solution: (-4, 1)

Step-by-step explanation:

x = 3y - 7

4x + 5y = -11

Substitute x for 3y - 7

4x + 5y = -11

4 (3y - 7) + 5y = -11

12y - 28 + 5y = -11

17y - 28 = -11

Add 28 to both sides

17y = 17

y = 1

x = 3y - 7

x = 3(1) - 7

x = 3 - 7

x = -4

Solution: (-4, 1)

Answer:

12 to 6

12:6

Step-by-step explanation:

Answer:

Option (3)

Step-by-step explanation:

Area of a circle is given by the formula,

Area = πr²

Here, r = radius of the circle

Since, radius of the circular trampoline = 8 feet

Area of the cover required for the circular trampoline = π(8)²

                                                                                         = 64π square feet

Therefore, Option (3) will be the answer.

Answer:

(4, 2 ) and (5, - 4 )

Step-by-step explanation:

(3)

6x + 2y = 28 → (1)

x = 2y → (2)

Substitute x = 2y into (1)

6(2y) + 2y = 28

12y + 2y = 28

14y = 28 ( divide both sides by 14 )

y = 2

Substitute y = 2 into (2) for corresponding value of x

x = 2(2) = 4

solution is (4, 2 )

(4)

x + y = 1 → (1)

2x + y = 6 → (2)

Rearrange (2) expressing y in terms of x by subtracting 2x from both sides

y = 6 - 2x → (3)

Substitute y = 6 - 2x into (1)

x + 6 - 2x = 1

- x + 6 = 1 ( subtract 6 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Substitute x = 5 into (3) for corresponding value of y

y = 6 - 2(5) = 6 - 10 = - 4

solution is (5, - 4 )

Answer:

Step-by-step explanation:

a) 3n+3n+3=141, 6n+3=141

b) 6n+3=141, 6n=138, n=23

c) 3n and 3n+3, 3(23) and 3(23)+3, 69 and 72

Answer:

The answer is -4 ( W - 8 )

I hope this helps you

Answer:

-4(w-8)

at first when you look at it you know you cant add then because 32 have a variable but to get -4w+32 you will have to do -4(w-8)

hope that helped

Answer:

Interest= $423.59

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $6,000

Number of periods (n)= 3 years

Interest rate (i)= 2.3% = 0.023

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 6,000*(1.023^3)

FV= $6,423.59

Now, the interest earned:

Interest= 6,423.59 - 6,000

Interest= $423.59

Answer:

3/20

Step-by-step explanation:

There are 60 children in a club. In the club, the ratio of the number of girls to the number of boys is 3:1

Step 1

We find the number of girls and boys

The ratio is given as:

Girls : Boys

3:1

The sum of Proportion = 3 + 1 = 4

The number of girls

= 3/4 × 60 children

= 45 girls

The Number of boys

= 1/4 × 60 children

= 15 boys

Step 2

From the question, we are told:

3/5 of the girls play a musical instrument.

The number of girls that play Instruments is calculated as:

3/5 × Number of girls

= 3/5 × 45 girls

= 27 girls

4/5 of the boys play a musical

instrument.

The number of boys that play Instruments is calculated as:

4/5 × Number of boys

= 4/5 × 15 boys

= 12 boys

Step 3

The fraction of the 60 children that play a musical instrument is calculated as:

Sum of boys and girls that play a musical instrument/ 60 children

= 27 girls + 12 boys/60

= 39/60

= 3/20

The fraction of the 60 children that play a musical instrument is 3/20

Answer:

T(3) = 21

Step-by-step explanation:

To find the third term, substitute n = 3 into T(n) , that is

T(3) = 2(3)² + 3 = 2(9) + 3 = 18 + 3 = 21

Answer:

(see image)

Step-by-step explanation:

Answer: