20 points
One pump can fill a tank of water in 4 hours. A second tank can fill the same tank in 3 hours. If both pumps are used together, how long will it take to fill the tank?

7/12 hours
3/4 hours
12/7 hours
4/3 hours

Answer:

180000 m/s

Step-by-step explanation:

The frequency of the wave is 900 Hz.

The wavelength of the wave is 200 m.

The speed of a wave is given as the product of wavelength and frequency. That is:

v = λf

where λ = wavelength

f = frequency

The speed of the wave is therefore:

v = 200 * 900 = 180000 m/s

The speed of the wave is 180000 m/s.

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius.

The circumference of a circle can be found using the formula C = 2πr, where C represents the circumference and r is the radius of the circle.

For example, if the radius of the circle is 5cm, the circumference would be C = 2π(5) = 10π cm. It is important to note that the circumference is always given in terms of π, which represents the mathematical constant.

Therefore, the circumference of a circle can be calculated by multiplying the radius by 2π.

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Answer:

96

Step-by-step explanation:

12x8=96

Answer:

15 people

Step-by-step explanation:

if each person eats 8 pieces of pizza, 12 people can be served because 8 slices are in 1 pizza and he ordered 12 pizzas.

Answer:

14 m

Step-by-step explanation:

For the triangle, you use the formula A=1/2bh. So in this case it's 3×4×1/2. 3×4 is 12, times 1/2 is 6 m. Now for the rectangle it's just 2×4 which is 8. 8+6 is 14. Hope this helps! If you are still confused please comment!

Answer:

X = -2

Y = 5

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

-30

Step-by-step explanation:

-6*5=-30

The value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that;

The number expression is:

= 5(-6)

Let x  be the value of the expression;

x = 5(-6)

After performing the arithmetic operation:

x = -30

Thus, the value of the x is -30 or the value of the number expression is -30 after performing the arithmetic operation the answer is -30.

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Answer:

1.79 radians to the nearest hundredth.

Step-by-step explanation:

To covert, we multiply degrees by π/180

so radians = 102.48 * π/180

= 1.7886 radians.

Answer:

x= 71, y= 19.

Step-by-step explanation:

To solve this, we will need to set up an algebraic equation. Since y is the smaller number, we can think of x in terms of y:

x= 3y+14

We can substitute this in the equation to get:

90= y+3y+14.

Simplifying this will give us:

76= 4y.

When solved, we get the value of y (the smaller number) to be 19.

To solve for x, we must plug this into the equation giving us:

x= 3(19)+14

x= 71.

Answer: x+y=90;x=14+3y

71, 19

Step-by-step explanation:

Answer:

Part A: 32 square yards per gallon

Part B: 13 square feet per gallon difference

Step-by-step explanation:

Part A:

To find how many square yards each gallon covers, you have to divide 42 2/3 by 1 1/3, which equals 32. That means each gallon of paint covers 32 square yards.

Part B:

First, you have to convert how much Angela covered in square yards to square feet. Since one square yard is equal to 9 square feet, we have to multiply 32 by 9, which equals 288. To find the difference, you have to subtract 288 - 275, which equals 13.

Final answer:

Angela's rate of paint coverage in square yards per gallon is 32, and the difference in square feet per gallon between Angela’s rate and the average rate on the paint label is 13 square feet per gallon.

Explanation:

Part A: Calculating Paint Coverage

To find Angela’s rate of paint coverage in square yards per gallon, we would divide the total area painted by the amount of paint used. We have 42 2/3 square yards painted using 1 1/3 gallons of paint. First, it's easier to work with improper fractions, so we convert 42 2/3 to (126/3 + 2/3) = 128/3 square yards, and 1 1/3 to (3/3 + 1/3) = 4/3 gallons. Now, we calculate the rate by dividing the square yards by the gallons:

Rate = ​(128/3) / (4/3) = (128/3) × (3/4) = 128/4 = 32 square yards per gallon.

Part B: Difference in Square Feet per Gallon

To find the difference in square feet per gallon, we need to compare Angela's rate to the average rate given on the label. Angela's rate is 32 square yards per gallon, and there are 9 square feet in a square yard. So, Angela's rate in square feet would be 32 × 9 = 288 square feet per gallon. The label states an average coverage rate of 275 square feet per gallon. Thus, the difference is:

Difference = Angela’s rate - Label’s rate = 288 - 275 = 13 square feet per gallon difference.

Answer:

YOU CANNOT DIVIDE BY 0

Step-by-step explanation:

Answer:

Undefined. You cannot divide zero by zero.

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle

sin17° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{25}[/tex]

Multiply both sides by 25

25 × sin17° = x, thus

x ≈ 7.3 → C

Answer:

7pi/theta

Step-by-step explanation:

Arc length = r × theta

7pi = r × theta

r = 7pi/theta

Answer:

7pi/theta

Step-by-step explanation:

hope it helps <3

Answer:

Step-by-step explanation:

[tex]\sqrt{64x^{16}} =\sqrt{8^{2}*x^{8*2}}\\\\ =\sqrt{8^{2}*(x^{8})^{*2}}\\\\=8x^{8}[/tex]

The statement which best describes the situation correctly is that the golf ball is on the ground at 0 and 6 seconds.

Given that:

Sharon hits a golf ball off the ground.

The function h represents the height of the golf ball, in feet, t seconds after it is hit.

h(t) = -16(t - 3)² + 144, which is a quadratic function.

Since the options contain the time when the ball hits the ground, it is required to find the time when the ball hits the ground.

When the ball is on the ground, the height is 0.

So, h(t) = 0

-16(t - 3)² + 144 = 0

-16(t - 3)² = -144

Divide both sides by -16.

(t - 3)² = 9

Take the square root on both sides.

t - 3 = ±√9

t - 3 = ±3

So, t = 3 + 3 and t = -3 + 3

So, t = 6 and t = 0

Hence, the ball hits the ground when t = 0 and t = 6, which is option B.

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The complete question is given below.

Answer:

x = 3.873 units

or x = [tex]\sqrt{15}[/tex] units

Step-by-step explanation:

Hypotenuse = 4  ,  x = height of this isosceles triangle.

base is 2,

so Use Pythagorean Theorem.

x^2 + 1^2 = 4^2

x^2 =  4^2 - 1^2

x^2 = 16 - 1 = 15

x = root(15) =

Answer:

(0,5)

Step-by-step explanation:

5^1=5, meaning that the y coordinate y-intercept is 5. Therefore, the y intercept is (0,5). Hope this helps!

Answer:

The sandcastle B has the greatest volume

Step-by-step explanation:

The volume of a pyramid is given by the following formula:

V = (1/3) * A * h

Where A is the base area and h is the height.

Now we can calculate the volume of both pyramids:

V1 = (1/3) * 30 * 6 = 60 in3

V2 = (1/3) * 24 * 8 = 64 in3

So the volume of the pyramid B is bigger than the volume of the pyramid A.

Answer: $7.19

Step-by-step explanation:

28.76/4=7.19

9514 1404 393

Answer:

  83.5π ft² ≈ 262.3 square feet

Step-by-step explanation:

Fido's area is 3/4 of a 10' radius circle plus 1/4 each of a 3' radius and 5' radius circle.

  A = (3/4)(π(10 ft)²) +(1/4)(π)((3 ft)² +(5 ft)²)

  = (75π +34/4π) ft² = 83.5π ft² ≈ 262.3 square feet

Answer:

approximately 262.3 square feet

Step-by-step explanation:

Answer:

his page is about surface area of prism. ... Base is triangular so either use 1) Area = ½ x base x height or if the height is ... 1) The base of a triangular prism is ΔABC, where AB = 3 cm, BC = 4 cm and ∠B = 90. If the height of the prism is 10 cm. ... by Pythagorean theorem in ΔABC, C 2 = a 2 + b 2 = 3 2 + 4 2 = 9 + 16. C 2 = 25

Step-by-step explanation:

Answer:

The volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Step-by-step explanation:

The diameter of a sphere is 0.926 inch. It is required to find the volume of the sphere. The formula used to find the volume of sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Since, r is radius, r = d/2 = 0.463 inch

So,

[tex]V=\dfrac{4}{3}\times 3.14\times (0.463)^3\\\\V=0.415\ \text{inch}^3[/tex]

So, the volume of the sphere is [tex]0.415\ \text{inch}^3[/tex].

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

Step-by-step explanation:

Step 1:  Find the dimensions

l = 7 + w

Area = 20

Find width

[tex]A = l * w[/tex]

[tex]20 = (7 + w)(w)[/tex]

[tex]20 - 20 = 7w + w^2 - 20[/tex]

[tex]w^2 + 7w - 20 = 0[/tex]

[tex]w=\frac{-(7)\pm\sqrt{(7)^2-5(1)(-20)}}{2(1)}[/tex]

[tex]w = 2.17890...[/tex]

Find length

[tex]l = 7 + w[/tex]

[tex]l = 7 + 2.17890...[/tex]

[tex]l = 9.17890...[/tex]

Answer: [tex]Width = 2.17890..., Length = 9.17890...[/tex]

Image is missing, so i have attached it.

Answer:

AC = 10sin 40°

Step-by-step explanation:

From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.

Thus, since we want to find AC;

We know that in trigonometric ratios; opposite/hypotenuse = sin θ

In the diagram, θ = 40° and AB = 10

Thus,

AC/10 = sin 40°

Multiply both sides by 10 to get;

AC = 10sin 40°

Answer:

The box has a total volume of 36 cubic inches.

Step-by-step explanation:

The total volume of the box is given by the volume that is filled with books plus the volume that doesn't have any books in it. Therefore, in order to solve this problem we must sum the two volumes. We have:

total volume = volume with books + volume without books

total volume = 24 + 12

total volume = 36 cubic inches

The box has a total volume of 36 cubic inches.

To solve the given polynomial addition and subtraction question, combine like terms. The z4 terms combined are -7z4 and the z2 terms are 5z2, resulting in the simplified expression 5z2 - 7z4.

To add or subtract the polynomials 7z2 − 2z4 − 2z2 − 5z4, you'll want to combine like terms. Like terms are terms that have the same variables raised to the same power.

Here, z2 and z4 are like terms, so you can combine them separately.

Starting with the z4 terms:
-2z4 and -5z4 combine to give you -7z4. They both have the same variable z raised to the fourth power, so you just add the coefficients, keeping the exponent the same.

Then, combine the z2 terms:

7z2 and -2z2 combine to give you 5z2.

Similarly, these terms have the same variable z raised to the second power.

Now, putting it all together, you get:

5z2 − 7z4

This is the simplified version of the polynomial after combining like terms.

Answer:

do you need help

Step-by-step explanation:

Answer:

Between 75 and 98.

Step-by-step explanation:

Let's first have a look at the previous data available:

Friday, 27 dunk teachers out of 215 participants (12.5%)

Saturday: 54 dunk teachers out of 417 participants (12.9%)

Sunday: 39 dunk teachers out of 368 participants (10.6%)

So, based on the previous 3 days, she can expect between 10% and 13% will dunk a teacher.

If she has 750 contestants on Monday, the number of winners should then be in the range of 75 (10% of 750) and 98 (13% of 750).

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Step-by-step explanation:

Answer:

x^3  <-- exponent, x to the power of three

Explanation:

x(x+2)(x+4)

=(x(x+2))(x+4)

=(x(x+2))(x)+(x(x+2))(4)

=x^3+2x^2+4x^2+8x

=x^3+6x^2+8x

Step-by-step explanation:

x(x+2)(x+4)

first get rid of the bracket

x square +2x+x+4

x^2 + 3x + 4

Answer:

2,400 cm3

Step-by-step explanation:

If the dimensions of the rectangular prism are 25 cubes, 6 cubes and 16 cubes, and each cube has 1 centimeters, the dimensions in centimeters are:

25 cm, 6 cm and 16 cm.

Then, to find the volume of the rectangular prism, we just need to multiply all three dimensions:

Volume = 25 * 6 * 16 = 2,400 cm3.

Answer:

80

Step-by-step explanation:

Following the order of operations (PEMDAS), you would first multiply 10 by 6 to get 60. You would then add 20 to the product to get your answer.

(10 · 6) + 20

60 + 20 = 80

look at the attached picture

hope it will help you