Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –
10? Select two options.
Oy = x2 + 5x + 10
Oy + 5x = x2 + 10 + 4x – 10
0 0 = x2 - 9x
0 0 = x2 - 9x + 20
One x-value of a solution to the system is 4.

Answer:

C

Step-by-step explanation:

Look at the attachment

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:

There are no solutions.

Step-by-step explanation:

When you use the quadratic formula, you’ll find a square root of a negative integer, and that’s not a real number.

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:

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:  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:

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:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

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Answer:A

Step-by-step explanation:

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:

5 * 2 + 6 * 5

Step-by-step explanation:

Distributive Property.

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:

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)

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:

$35

Step-by-step explanation:

$5.25 x 5 days=$26.25

then $26.25 + 6.75= $33

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:

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:

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:

A

Step-by-step explanation:

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

Answer:

b is 9 and h is 18

Step-by-step explanation:

because its times 1.5 for each one so like 5 times 1.5 is 7.5 so we can see that it is times by 1.5

Answer:

A) b = 9

D) h = 18

Step-by-step explanation:

b/6 = 7.5/5 = h/12

b/6 = 1.5

b = 9

1.5 = h/12

h = 18

Answer:

7x ≥ 8y

Step-by-step explanation:

The first hen laid 7 eggs per week for x weeks.  7x

The second hen laid 8 eggs per week for y weeks. 8y

The total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

7x ≥ 8y

The inequality representing the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen is 7x ≥ 8y.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, A farmer is comparing the number of eggs laid by two hens.

The first hen laid 7 eggs per week for x weeks which is equal to 7x.

The second hen laid 8 eggs per week for y weeks which is 8y.

Also given that the total number of eggs laid by the first hen was at least the total number of eggs laid by the second hen.

Therefore the inequality that represents this situation is,

7x ≥ 8y.

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Answer:

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

Step-by-step explanation:

We want to arrange n people in n positions.

Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.

Arrangments formula:

The total number of possible arrangents of n elements is:

[tex]A_{n} = n![/tex]

In this question:

5 students, so

[tex]A_{5} = 5! = 120[/tex]

There are 120 ways for their roles to be divided.

120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.

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:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

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