a system of equations is shown.

Answer:

Step-by-step explanation:

If Mrs. Burdell​'s storage container is 3 feet​ long, 2 feet​ wide, and 8 feet tall, then the volume of the strorage container is expressed as shown;

Volume = Length *Breadth * Height

Volume of the container = 3*2*8 = 48ft³

If she each boxes she is to fit into the storage container has a volume of 1ft³, the total number of boxes she can fit into the container is expressed as:

Number of container = volume of the storage container/volume of a container

= 48ft³/1ft³

= 48 boxes

Since she can fit 48 boxes successfully in her storage tank, then she can fit 44 boxes as well into the storage tank since the total number of boxes the tank can take is greater tan the proposed amount of boxes in question.

So, yes she  fit 44 boxes if each has a volume of 1 cubic foot in her container

Answer: The answer for this question is C.

Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

Answer:

1 hour and 20 minutes

Step-by-step explanation:

Answer:

Total time taken by Natalie to reach the airport is 1 hour and 20 minutes

Answer:

AC =3.76

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin 70 = ? / 4

Multiply each side by 4

4 sin 70 = ?

3.758770783 = ?

Rounding to nearest hundredth

3.76 = ?

AC =3.76

Answer:

3.76 units

Step-by-step explanation:

We want to use trigonometry to solve this - specifically, the trigonometric function sine, which is opposite divided by hypotenuse.

Here, the opposite side is AC, which is what we want to find, while the hypotenuse is AB, which is 4. The angle itself is angle ABC, which is 70 degrees. Now, write:

sin(70) = opposite / hypotenuse = AC / 4

Multiply both sides by 4:

AC = 4 * sin(70) ≈ 3.76 units

Answer:

- 1 < x < 4

Step-by-step explanation:

[tex] - 6 < 2x - 4 < 4 \\ - 6 + 4 < 2x < 4 + 4 \\ - 2 < 2x < 8 \\ \frac{ - 2}{2} < x < \frac{8}{2} \\ \purple{ \boxed{ \bold{ - 1 < x < 4}}}[/tex]

Answer:

the answer is 6

Step-by-step explanation:

Answer:

300 right handers

Step-by-step explanation:

Answer:

The answer is 300 right handers.

Step-by-step explanation:

I looked up the question on google, and found the workbook that it came from. Towards the bottom of the book is the answers so I matched the question to the list of answers and found that it is 300 right handers.

Answer: You and Sarah went to the gas station to get sodas. Sarah got a Dr. Pepper and it cost $2.50. You got a Sprite and it cost $3.00. You notice Sarah is short on change and want to help her. You have a $10 Bill and are going to pay for it. How much change will you get back?

Step-by-step explanation:

Answer:

$35

Step-by-step explanation:

$5.25 x 5 days=$26.25

then $26.25 + 6.75= $33

Answer:

1. r = -4

3. n=6

5. m = -5

7. x=0.66= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

1.

-52=4(7+5r)

-52=28+20r

Subtract 20r from both sides

-20r-52=28

Add 52 to both sides

-20r=80

Divide both sides by -20

r = -4

3.

8(n-5)=-5n+38

8n-40=-5n+38

Add 5n to both sides

13n-40=38

Add 40 to both sides

13n=78

Divide both sides by 13

n=6

5.

-33+5m=2(1+6m)

-33+5m=2+12m

Subtract 12m from both sides

-33-7m=2

Add 33 to both sides

-7m=35

Divide both sides by -7

m=-5

7.

2(7x-2)=2(x+4)

14x-4=2x+4

Subtract 2x from both sides

12x-4=4

Add 4 to both sides

12x=8

Divide both sides by 12

x=0.66...

Answer:

Well it varies for how many lines you put on the graph, if you use desmos the answer comes out as 40 units; 25 units to the right of (-4,1) and 20 down

Step-by-step explanation:

Answer: 60º

Step-by-step explanation:

With respect to the line ZB, it makes an angle of 180º if measured using DZ. If the angle outside the triangle measures 140º, subtract from 180º to find the angle inside the triangle.

180º-140º=40º

So, now we have angle c=80º and angle b=40º, we can make an equation to find angles D which we'll call x.

The sum of the angles of a triangle must be equal to 180º.

80+40+x=180

120+x=180

x=180-120

x=60

Answer:

Find the measure of the angles indicated

∠CDB = 60°

Step-by-step explanation:

∠CBD + ∠CBZ = 180°

∠CBD + 140° = 180°

∠CBD = 180° - 140°

∠CBD = 40°

∠CBD + ∠BCD + ∠CDB = 180°

40° + 80° + ∠CDB = 180°

120° + ∠CDB = 180°

∠CDB = 180° - 120°

∠CDB = 60°

Answer:

probability that none of the solar panels are defective = 0.97

Step-by-step explanation:

Proportion of solar panels that are defective, p = 1/200 = 0.005

Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005

q = 0.995

Sample size, n = 6

probability that none of the solar panels are defective, P(X=0)

Note: [tex]P(X=r) = nCr p^{r} q^{n-r}[/tex]

[tex]P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97[/tex]

Answer: 0.983

Step-by-step explanation:

Answer:

Area of rectangle, [tex]A=\dfrac{99}{8}\ \text{inch}^2[/tex]

Step-by-step explanation:

We have,

A rectangle that measures [tex]4\dfrac{1}{2}\times 2\dfrac{3}{4}[/tex].

It is required to find the area of the rectangle

The product of length and breadth of a rectangle is called its area. It can be calculated as :

[tex]A=4\dfrac{1}{2}\times 2\dfrac{3}{4}\\\\A=\dfrac{9}{2}\times \dfrac{11}{4}\\\\A=\dfrac{99}{8}\ \text{inch}^2[/tex]

So, the area of the rectangle is [tex]\dfrac{99}{8}\ \text{inch}^2[/tex].

Answer:

5 * 2 + 6 * 5

Step-by-step explanation:

Distributive Property.

Let's do it in general first; inner radius r, outer radius R.

Little circumference is 2πr, bigger is 2πR, difference is

d = 2π(R-r)

For us R-r = 2 feet so that's

d = 2 (22/7) (2) = 88/7 ≈ 12.57 feet

Answer: 12.6

Answer:  it lies between 2 and 3.

Step-by-step explanation:

You equation should be like this because what you wrote is not an equation.

15/6= p  where P is the number of pounds  each student received.

p=2.5

Answer:

Step-by-step explanation:

Answer:

slope = -7/2x

Step-by-step explanation:

you can solve the equation in order to make it slope-intercept form.

7x + 2y = 5

2y = -7x + 5

divide everything by 2

it becomes y = -7/2x + 5/2

The required slope of the line is m = -7 / 2.

A line can be defined by the shortest distance between two points is called a line.

Method 1

7x + 2y = 5
Rearranging the equation in the standard form of the equation of a line
y = mx + c
where m is the slope of the line and c is the intercept of the line.
7x + 2y = 5
2y = -7x + 5
y = -7x/2 + 5  - - - - - -(1)
Comparing equation 1 with the standard form of the equation
m = -7/2 and c = 5

Method 2
Differentiate the given equation, with respect to x
d/dx (7x + 2 y) = d/dx (5)
7 + 2dy/dx = 0
dy/dx = -7/2
Slope = dy/dx = -7/2

Thus, the required slope of the equation is m = -7/2

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Answer:

No solutions

Step-by-step explanation:

To find out how many solutions there are you must solve:

- 2 - 10z = - 4 - 10z

Add 10z to both sides:

-2 = -4

Since the two terms are different from one another, that means that there are no solutions for this equation.

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6

Answer:

3

Step-by-step explanation:

It is three because 3×5 is 15 and 3×3 is 9 so the greast common factore is 3.

Answer:

30

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y = 9,958(0.972)x

Function which best models the given data is -150x + 9219.

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

According to the given question

y represents the number of bees.

and, x represents the number of days.

Since, we have to find the function to represent the given data.

As, we know the given data are the solution of any function, so they must satisfy the function. For this we will take any value of x and y and check whether it satisfy the given function or not.

From the given data,

Let check for the point (0, 1000).

Substitute (0, 1000) in the given function one by one.

For, y = 9,958(0.972)x

At, x = 0

We get y = 0

⇒ ( 0, 1000) is not the solution of the function 9958(0.72)x

For, y = 0.972(9,958)x

At, x = 0

we get y = 0

⇒ (0, 1000) is not the solution for the function 0.972(9958)x

For, y = 9219x - 150

At x = 0

we get y = -150

⇒ (0, 10000) is not the solution of function, 9219x -150

For, y = -150x + 9219

At x = 0

y = 9219 which is nearly equals to 10000 because y is the estimated number of bees.

⇒ (0, 10000) is the solution of the given function y = -150x + 9219 .

Hence, the function which best models the given data is -150x + 9219.

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Answer:

A

Step-by-step explanation:

I may be wrong but when you deposit something you take it away.

Answer:

C

Step-by-step explanation:

Look at the attachment

Answer:

V = 1469.52 cm^3

Step-by-step explanation:

cylinder volume = base area * height

                           = ( pi * R^2) * h

                           = pi * 6^2 * 13 = 1469.52 cm^3  (ANS)