You need 2 gallons of juice for every 12 people attending the open house. How many gallons of juice would be needed for 156 people?

Answer:

72, 150%

Step-by-step explanation:

The answer for this is 72.

Change 150 to 1.50 and multiply it by 48

Answer:

y=-2/3

7y-16y-2=4

7y-16y=6

-9y=6

-y=6/9

simplify

y=-2/3

Answer:

D

Step-by-step explanation:

Given

[tex]\frac{x+2}{x-5}[/tex] × [tex]\frac{8x}{x+2}[/tex] ← cancel the common factor x + 2 on the numerator/ denominator

= [tex]\frac{8x}{x-5}[/tex] → D

The area of the circle is 113.04 cm²

Step-by-step explanation:

The given information are,

Radius = diameter / 2

Radius = 12/2 = 6 cm

Now, the formula for area of the circle is given by πr²

where,

To calculate the area of circle :

Substitute r=6 and π=3.14,

Area of the circle = (3.14) × (6²)

⇒ 3.14 × 36

⇒ 113.04 cm²

The area of the circle is 113.04 cm²

Answer:

113.04 cm²

Step-by-step explanation:

Equation is y = 1/5x - 2

Step-by-step explanation:

⇒ y = 1/5x + (-2)

∴ y = 1/5x - 2

Solution:

Given that,

Mike has $25.00 to rent paddleboards for himself and a friend for 3 hours

Each paddleboard rental costs $3.75 per hour

So there are two persons = mike and his friend

1 hour = $ 3.75

Therefore, for 3 hours:

[tex]3 \times 3.75 = 11.25[/tex]

Thus for two person:

11.25 + 11.25 = 22.5

Thus it costs $ 22.5 for mike and his friend to rent paddle board for 3 hours

Remaining amount = 25 - 22.5 = 2.5

Thus Mike has $ 2.5 remaining after rental

Answer:

.

Step-by-step explanation:

Answer:

Surface Area

Step-by-step explanation:

Its's basically the total area of all faces in the three-dimensional figure.

Final answer:

The total area of all the faces of a three-dimensional figure is known as the surface area. It can be calculated differently based on the shape, like multiplying one face's area by six for a cube or summing up the areas of each face for a more complex shape.

Explanation:

The total area of all the faces of a three-dimensional figure is called the surface area. There are various methods to calculate the surface area depending on the shape of the three-dimensional object. For example, a cube has six faces, and the surface area can be found by calculating the area of one face and then multiplying by six. For more complex shapes, one might need to calculate the area of each face separately and sum them up.

For instance, taking a cube, if each face has an area of 4 square inches, then the total surface area of the cube would be 4 square inches multiplied by 6 faces, resulting in 24 square inches. If we then divide this cube into smaller cubes, the surface area-to-volume ratio of these smaller cubes would increase. When dealing with areas or volumes of objects with complex shapes, often, they're idealized to reflect simpler shapes like a cube or a sphere.

Answer:

100.8 minuts

Step-by-step explanation:

12 question = 5 min

1 question = 12/5 min

42 question = (12/5)  * 42 min

                    = 100.8 min

Answer:

100.8 minutes

Step-by-step explanation:

proportion

12 over 5 = x over 42

12*42=504

504/5

100.8 minutes

Answer: 32/6

I hope this answer helps!

Answer: 5 1/3

Step-by-step explanation:

Step 1: change to a proper fraction to give 32/6

Step 2: minimize the fraction part by dividing the numerator and denominator by 2

=5 1/3

Answer:

Required margin of error  = 20

Step-by-step explanation:

Required margin of error = 20

so , option (2) is the correct answer.

Explanation:

Values are given as,

we will have to need confidence level to calculate margin of error so ,we assume 95% confidence level .



z = 1.96 (critical value of 95%)

sample size n = 25

standard deviation = 50

Using the formula

Margin of error E =  z∗(σ/ n )  

putting the values

1.96∗(50/ 25)  

= 19.6

=20

Required margin of error :  E = 20

Answer: Jo's margin of error is M = 20

Step-by-step explanation:

The margin of error can be calculated as:

M = z*σ/√n

where:

z depends on the confidence interval with we are working, let's use 95%, so z = 1.96

σ = standard deviation = 50

n = number of the sample.

So for Jo we have:

M = 1.96*50/√25 = 1.96*50/5 = 1.96*10 = 19.6

So if we round it to the nearest whole number, we should round up, and we get:

M = 20

Answer:

the answer is D

Step-by-step explanation:

x is 7 and y is 1 . just replace the x and y with 7 and 1 , so its 1= -7+8

Answer: y=-x+8

Step-by-step explanation: When 1 is plugged in as x for another equation, y is not equal to 7. However, when you plug 1 in here, you get y equal to 7. Therefore, this is the solution.

Answer:

The exact radius is 17.99 but I guess you can round it to get 18cm.

Step-by-step explanation:

Next time if you still get these questions, you can use a online calculator to help you!

Answer:

Your are losing

Step-by-step explanation:

-6 + 4 = -2 points

-3  = -3

-2 > -3

Answer:

No

Step-by-step explanation:

She has -6 points,

And you have -3

If she takes points from you:

She has -6+4 = -2

You have-3-4 = -7

She wins

If she gives you 4 points:

She had -6-4 = -10

You have -3+4 = 1

You win

Answer: something is wrong circumference is solved by pi times the diameter or pi times the radius times 2

40 x 3.14 = 125.6

Step-by-step explanation:

Sorry man

Final answer:

The circumference of a circle with a diameter of 40 inches using 3.14 for pi is 125.6 inches, rounded to the nearest tenth.

Explanation:

The student's question is asking for the circumference of a circle with a given diameter using 3.14 for π (Pi). According to the relationship between the diameter and the circumference of a circle, the circumference (C) can be found by multiplying the diameter (d) by π. The formula for the circumference is thus C = πd.

In this case, the diameter is given as 40 inches. Therefore, we calculate the circumference as follows:

Since we are asked to round to the nearest tenth, the circumference of the circle is 125.6 inches.

Answer:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The formula for area is length multiplied by width

7 X 6 = 42

hope this helps :)

Answer: 81,250

Step-by-step explanation: find the area. Multiply the length x width. I got 81,250 by multiplying these numbers.

A field that is 250 feet wide and 325 feet long, can be calculated as 81,250 square feet. Since one acre equals 43,560 square feet, this field's size is approximately 1.87 acres.

The question is about converting a field measure in feet into acres. Given that the field is 250 feet wide and 325 feet long, the total area in feet is found by multiplying these two dimensions. Thus, the total area is 250 * 325 = 81,250 square feet.

Now, to convert this into acres, we should know that 1 acre is equal to 43,560 square feet. So, to calculate how many acres is 81,250 square feet, we divide 81,250 by 43,560.

This gives 1.87 acres (rounded to two decimal places). So, this field's size, planted with strawberries, is approximately 1.87 acres.

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Answer:

A. 5

B. 29, 16, 24, 20, and 15

Step-by-step explanation:

The sample size is 5.

Each student is assigned a two digit number, so split the random digit table into two digit numbers.

29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24

Identify the first 5 unique numbers between 12 and 30.

29, 62, 16, 65, 83, 62, 96, 61, 24, 68, 20, 34, 51, 40, 15, 04, 01, 43, 57, 13, 03, 98, 00, 30, 24

Answer: Candidate B has 69,500 votes!

Step-by-step explanation:

one easy way to solve this is by dividing 109,000 in half and that gives us

54500 and 54500 but since Candidate C has 15000 less

we subtract 15000 from candidate c and add 15000 from candidate b

which gives us

Candidate C= 39,500 votes

Candidate B= 69,500 votes

please give brainliest!

Answer:

-17

Step-by-step explanation:

You replace the t with 7 making the equation , f=-2(7)-3. Using PEMDAS, you solve -2 x 7 making it -14. Finally, subtract -3 from -14 making it -17.

The quotient of 5,680 divided by 80 with a remainder division by a 2-digit number is 71 with a remainder of 1 and 15/25.

When dividing 5,680 by 80, we get a quotient of 71 and a remainder of 40. Now, we divide the remainder by a 2-digit number. Let's say the 2-digit number is 25. When we divide 40 by 25, we get a quotient of 1 and a remainder of 15. Therefore, the final quotient is 71 with a remainder of 1 and 15/25.

Learn more about division here:

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Option D:

[tex]$\cos60^\circ=\frac{7}{14}[/tex]

Solution:

Given data:

[tex]$\cos -- = \frac{7}{14}[/tex]

Let the unknown degree be x.

To find the degree x:

[tex]$\cos x = \frac{7}{14}[/tex]

Cancel the common factor 7 in the numerator and denominator.

[tex]$\cos x = \frac{1}{2}[/tex]

Using trigonometry basic formula,

we know that [tex]\cos60^\circ = \frac{1}{2}[/tex].

So, x = 60°.

The unknown degree measure is 60°.

[tex]$\cos 60^\circ= \frac{7}{14}[/tex]

Hence option D is the correct answer.

Answer:

Angle A is 80 degrees

Step-by-step explanation:

Answer:

I may not be right, because I didn't get the context of the question, but my answer is:

[tex]y=x^{4}+8x^{3}+14x^{2}-8x-15[/tex]

Assuming that the diameter of the circle is the square's side, then we have

Area of square: S1=10×10=100in²

Radius of circle: r=10/2=5in

Area of circle: S2=pi×r²=3.14×5²=78.54in²

Remaining area: S1-S2=100-78.54=21.46in².

Rounding to the nearest tenth: 21.5in².

Answer: 21.5in²

The area of the square not covered by the circle is calculated by first determining the areas of the square and the circle, and then subtracting the latter from the former. The area of the square is 100 square inches and the area of the circle is approximately 78.5 square inches. Subtracting these gives approximately 21.5 square inches.

First, let's find the area of the square. Since all sides are equal in a square, the area can be found using the formula side ⨉ side. In our case, the sides of the square are 10 inches, so the area is 10 inches ⨉ 10 inches = 100 square inches.

Next, we'll need to find the area of the circle. The radius of the circle is equal to half the length of a side of the square, or 5 inches. Use the formula for area of a circle, which is πr². So the area of the circle is π(5 inches)² = 25π square inches ≈ 78.5 square inches.

To find the area of the square not covered by the circle, simply subtract the area of the circle from the area of the square. 100 square inches - 78.5 square inches = 21.5 square inches, thus this is the area of the square not covered by the circle.

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Answer:

5x +16

Step-by-step explanation:

2 (x+6) + 3x + 4

Distribute the 2

2x+12 +3x +4

Combine like terms

2x+3x   +12 +4

5x +16

Answer: M=3.7

Step-by-step explanation:

Answer:

13 and -14 satisfy this condition

Step-by-step explanation:

Let's represent that number as x

and the square of x is x^2

So,

x + x^2 = 182

Subtract 182 from both sides

x + x^2 - 182 = 182 - 182

x + x^2 - 182 = 0

rearrange the quadratic equation

x^2 + x -182 = 0

let's use the quadratic formula

[tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex]       or      [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

a = 1, b = 1, c = -182

[tex]\frac{-1+\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]       or     [tex]\frac{-1-\sqrt{1^2-4*1*(-182)} }{2*1}[/tex]

[tex]\frac{-1+\sqrt{1+728} }{2}[/tex]      or         [tex]\frac{-1-\sqrt{1+728} }{2}[/tex]

[tex]\frac{-1+\sqrt{729} }{2}[/tex]            or    [tex]\frac{-1-\sqrt{729} }{2}[/tex]

[tex]\frac{-1+{27} }{2}[/tex]     or    [tex]\frac{-1-{27} }{2}[/tex]

[tex]\frac{26}{2}[/tex]     or    [tex]\frac{-28}{2}[/tex]

13 or    - 14

Lets check

13 + 13^2 = 13 + 169

= 182

Also,

-14 + (-14^2) = -14 + 196

= 182

Answer:

V = 14.14in^3

Step-by-step explanation:

Use the formula V = 3/4πr^2 to get the volume of a sphere

Substitute r for 1.5 in

V = 3/4π(1.5)^2

V = 14.137166941154in^3

Round to the nearest hundredth to find the approximate volume

V = 14.14in^3