· Draw a diagram of this statement. Then answer the questions that follow. Five eighths of the 160 seats were empty during the matinee. (a) How many seats were empty during the matinee? (b) How many seats were occupied during the matinee? CAN SOMEONE PLEASE HELP ME?​

answer: 2w^3 - 9w^2 + 10w = 528

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A dumpster in the shape of a rectangular prism has a volume of 528 cubic feet. The length of the dumpster is 5 feet less than twice the width w, and the height is 2 feet less than the width. Then the equation will be

L = 2W - 5          ...1

H = W - 2           ...2

Then the polynomial is given as,

V = L x W x H

528 = (2W - 5)(W - 2)W

528 = (2W² - 5W)(W - 2)

528 = 2W³ - 4W² - 5W² + 10W

0 = 2W³ - 9W² + 10W - 528

Factorize the equation, then we have

2W³ - 4W² - 5W² + 10W - 528 = 0

(W - 8)(4W + 7)² = 0

W = 8, 1.75i, and -1.75i

Then the length and height will be

L = 2 x 8 - 5

L = 11 feet

H = 8 - 2

H = 6 feet

The dimensions of the dumpster will be 8 feet by 11 feet by 6 feet.

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Answer:

option B

Step-by-step explanation:

The amount of ribbon needed is 120 inches

The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.

Given:

length = 24 inches

width = 36 inches

So, amount of ribbon needed

=2(36+ 24)

=2(60)

=120 inches

Hence, the amount of ribbon needed is 120 inches

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Answer:

pablo and lakaka vvvvvvvvvvvvvv

Step-by-step explanation:

Answer:

[tex]y = \frac{8x + 6}{2}[/tex] = 4x + 3

Step-by-step explanation:

2y = 8x + 6

y = (8x + 6) / 2

y = 8x / 2 + 6 / 2

y = 4x + 3

Answer:

-30

2

144

675

0

Step-by-step explanation:

Answer:

1+1= 2

umm r u ok

have a nice day <3

Answer:

the correct answer would be 1,800

Answer:

- 25/12

Hope it helps!

Answer:

(5, 0) and (4, 0)

General Formulas and Concepts:

Algebra II

Quadratics

Step-by-step explanation:

The x-intercepts of the parabola is where the quadratic is on the x-axis. According to the graph, we can see that the graph shows that the parabola touches the x-axis at 4 and 5.

∴ our answer is (5, 0) and (4, 0)

Answer:

Steps and solution in the attached picture.

Step-by-step explanation:

Steps and solution in the attached picture.

Answer:

y = 10x - 6

Step-by-step explanation:

If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.

Note that the first pair is (0, -6) and the last pair is (4, 34).  The 'run' is from x = 0 to x = 4, a 'run' of 4.  The 'rise' is from -6 to34, a 'rise' of 40.  Thus, the slope of this line is m = rise / run = 40/4 = 10.

The test is to find out if there is a difference in the proportion of the number of autism in two samples differentiated by the use of vitamins.

The test statistic for the test is approximately 2.98

The p-value associated is 0.0028

Reasons:

The given parameters are;

[tex]\begin{array}{|l|c|c|c|}&\mathbf{\underline{Autism}}&\mathbf{\underline{Typical \ Development }}&\mathbf{\underline{Total}}\\No \ vitamin&111&70&181\\Vitamin&143&159&302\\Total&254&229&483\end{array}\right][/tex]

The null hypothesis is H₀; [tex]\hat{p}_1 = \hat{p}_2[/tex]

The alternative hypothesis is Hₐ; [tex]\hat{p}_1 \neq \hat{p}_2[/tex]

Where:

[tex]\hat{p}_1[/tex] = The proportion of the sample that did not use vitamin and had autism

[tex]\hat{p}_2[/tex] = The proportion of the sample that used vitamin and had autism

The test statistics for the difference of two proportions is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}\cdot (1-\hat{p}) \cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

Where;

n₁ = 181, n₂ = 302, [tex]\hat p_1 = \dfrac{111}{181}[/tex],  [tex]\hat p_2 = \dfrac{143}{302}[/tex], [tex]\hat p = \dfrac{111 + 143}{181 + 302 } = \dfrac{254}{283}[/tex]

[tex]The\ test\ statistics,\, Z=\dfrac{\dfrac{111}{181}-\dfrac{143}{302}}{\sqrt{ \dfrac{254}{283}\cdot (1-\dfrac{254}{283}) \times \left (\dfrac{1}{181}+\dfrac{1}{302} \right )}} \approx 2.98[/tex]

The test statistic for the test, Z ≈ 2.98

From the Z-table, we have Z > 2.98 = 1 - 0.9986, therefore, given that the

alternative hypothesis [tex]\hat p_1 \neq \hat p_2[/tex], the p-value is 2 × (1 - 0.9986) = 0.0028

The p-value associated with the test is 0.0028

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Answer:

6.98

Step-by-step explanation:

8.50x.76(the remainder of 100 after 24 is taken out) =6.46

8% of 6.46 is around 52 cents

6.46+.52=6.98

Answer:

Step-by-step explanation:

Internal alternate angles are identical when parallel lines are intersected by a third line

3x + 16 = 5x - 54

     -2x = -70

        x = 35

Answer:

Step-by-step explanation:

According to the condition, for any single property the probability not selling it during a week is 100% - 40% = 1 - 0.4 = 0.6.

The probability not selling any one of 13 properties during a week is  0.6%5E13.

The probability to sell at least 1 property in one week is the COMPLEMENT to it  

Answer:

17.5

Step-by-step explanation:

The ratio of "pure drug" to liquid is 35:150

Therefore to evaluate for 75 mls we get the ratio 75/2150 or simply 1/2

multiply 35 by the ratio 1/2

35/2=17.5

Answer:

84,700 is the answer. If I multiply

Answer:

1875

Step-by-step explanation:

The bank loaned part of the $25,500 at a 6% interest rate. We will call this loan amount x. Then the rest of the 25,500 was loaned at a 9% interest rate. We will define this amount as 25,500 - x. We also know that the total interest earned was $1,875. With this information, we form the equation:

.06(x) + .09(25500 - x) = 1,875

.06x + (2,295 - .09x) = 1,875

Simplify the above equation to:

-.03x + 2,295 = 1,875

-.03x = -420

x = 14,000

Since x is the amount loaned at the 6% interest rate, we know that $11,500 was loaned at a 9% interest rate. (25,500 - 14,000 =11,500)

To figure out the amount loaned at 6%, subtract 11,500 from 25,500 ... this gives us 14,000. This means $14,000 was loaned at 6%.

To check:

14,000 x .06 = 840

11,500 x .09 = 1035

840 + 1035 = 1875

Answer:

141

Step-by-step explanation:

First, we choose two variables to represent the two unknown numbers, the number of hamburgers and the number of cheeseburgers.

Let x = number of hamburgers.

Let y = number of cheeseburgers.

Now we use the given information to write two equations using the variables we defined above.

"If a hamburger shop sold a combined total of 423 hamburgers and cheeseburgers"

x + y = 423

"the number of cheeseburgers sold was two

times the number of hamburgers sold"

y = 2x

We have a system of two equations.

x + y = 423

y = 2x

Since the second equation is already solved for y, we can easily use the substitution method. We substitute what y equals to (2x) for y in the first equation.

x + y = 423

x + 2x = 423

3x = 423

x = 141

Since we let x = number of hamburgers, we have the answer.

Answer: 141

Answer:

$27.60

Step-by-step explanation:

Step 1: Find 5 over 8 of 24

[tex]\frac{5}{8}[/tex] doughnuts were glazed. So the total is 24. Now we just have to find 5 over 8 of the total.

[tex]\frac{5}{8} \times 24[/tex]

Or

[tex]\frac{5}{8} \times \frac{24}{1}[/tex]

Cross divide 8 and 24

[tex]24\div 8 = 3\\\\\frac{5}{1} \times \frac{3}{1}[/tex]

So we are left with

[tex]5\times 3[/tex]

Remember, "1" doesn't change anything.

Simplify

[tex]5\times 3 = 15[/tex]

Therefore, the cost of the glazed doughnuts WITHOUT TAX is $15.

Step 2: Add the tax to the cost of the glazed doughnuts.

[tex]\$0.84[/tex]

To find the tax or sales tax, just multiply the sales tax (in decimal form, but it already is) to the total.

[tex]15\times \:0.84=12.60[/tex]

Now, add the result to the total.

[tex]12.60+15.00 = 27.60[/tex] (you don't have to add the zeros, but it still won't change anything)

Answer: c(t) = 2.4x + 6

ill give you the first two points, then you just go up 2.4 each hour

(0, 6)

(1, 8.4)

Answer:

c (t) = 2.4x+6

Step-by-step explanation:

if wrong pls forgive me

hope it helps tho

Answer:

[tex]48\pi = \frac{1}{3} \pi {4}^{2} \times h \\ we \: omit \: \pi \: each \: sides \\ \\ 48 = \frac{16}{3} \times h \\ h = \frac{3 \times 48}{16} = 3 \times 3 = 9[/tex]

Answer:

1:2

Step-by-step explanation:

Scale factor of similar figures is usually the ratio of one to the other.

In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.

Length of smaller figure = 3

Corresponding length of larger figure = 6

Scale factor = smaller figure/larger figure = 3/6

Simplify

Scale factor = ½

I got you :D

Answer:

(2.405, 1.357)

General Formulas and Concepts:

Algebra I

Coordinate Planes

Step-by-step explanation:

To find the solution to a systems of equations, we can graph the functions in a coordinate plane and find where the 2 lines intersect. Where the 2 lines intersect is the solution to the systems of equations.

Answer:

1.5

Step-by-step explanation:

If 1 tablet is 100mg, and you need 150mg, we set up this equation:

Let x be the number of tablets Coco needs.

x = 150/100

x = 1.5

Therefore, you need 1.5 tablets for the medication.

Answer:

f=-1/3+2 1/3

Step-by-step explanation:

cause do slope equation

Answer:

hi

Step-by-step explanation:

the answer is A