Ryan collects rainwater in a barrel for his garden. The barrel is filled with 18 gallons of water. Ryan used 9.7 gallons to water his garden in June and 3 and one eighth gallons in July. How much water is left in the barrel?

24.575 gallons
5.175 gallons
3.168 gallons
3.125 gallons

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Answer:

[-2, 5)

Step-by-Step Explanation:

The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Given that the inequality y = {x ; -2 ≤ x < 5}

WE are asked to find the solution set for the given inequality;

⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)

⇒y=x ∀ x ∈ [-2, 5)

The solution of the given inequality;

x ∈ [-2, 5)

Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).          

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Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is \(\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr\) faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

\(x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days\)

For the second clock that is 30 minutes slower in a day, that means it is \(\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr\) faster every day. For it to show the correct time, the clock should be 24 hours slower.

Since 1 day = 1/2 hr slower

y days = 24 hr faster

Let x number of days be required to be 24 hr slower. To find x we use the formula:

\(y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days\)

The contractor has a maximum of 29 hours (rounded down) to complete the job while keeping the total cost under $2000.

To find the number of hours the contractor has for the job while keeping the total cost under $2000, we can use the given cost model equation: C = 43H + 750.

Since the owner wants the total cost to be under $2000, we can set up the inequality:

43H + 750 < 2000

Now, let's solve this inequality for H, the number of hours:

43H < 2000 - 750

43H < 1250

Dividing both sides of the inequality by 43:

H < 1250/43

To determine the maximum number of hours the contractor has for the job, we need to round down the result to the nearest whole number since the contractor cannot work a fraction of an hour.

Using a calculator, we find that 1250 divided by 43 is approximately 29.07. Rounding down to the nearest whole number, we get:

H < 29

Using the cost model equation C = 43H + 750, where C represents the total cost and H represents the number of hours, we set up the inequality 43H + 750 < 2000 to satisfy the owner's requirement of a total cost under $2000.

By solving the inequality and rounding down to the nearest whole number, we find that the contractor has a maximum of 29 hours to complete the job within the specified cost limit.

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Answer:

If m= 32 then the answer is 320

If you're looking to find m then the answer is m= -10

Step-by-step explanation:

(2 + 8)32

(10)32

320

(2+8)m

set it equal to 0

(2+8)m=0

(10)m=0

-10

m= -10

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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The angle that the ramp makes with the ground is approximately 28.07 degrees.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The sin of the angle θ is the ratio of the opposite side (height of the ramp) to the adjacent side (length of the inclined portion of the ramp):

Sin(θ) = 8/17

We can use a calculator to find the inverse sin of this ratio to get the angle θ:

θ = sin⁻¹(8/17)

θ ≈ 28.07 degrees

Therefore, the angle that the ramp makes with the ground is approximately 28.07 degrees.

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Step-by-step explanation:

6 - 4a < 2

6 - 2 < 4a

4 < 4a

1 < a

6 - a > 2

6 - 2 > a

4 > a

3a - 1 < 8

3a < 8 + 1

3a < 9

a < 3

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

-4

Step-by-step explanation:

Well, just add.

Answer:

OPTION B SHOULD BE CORRECT

Thus, for drawing the graph for y = 3/4x + 7.

For drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

For this case, the equation given to us is:

y=3/4x+7

Any equation of the form y=mx+c where m and c are constants and x and y are variables is the equation of a straight line.

For a straight line to be characterized, only two points are sufficient.

For x = 0, the y-coordinate would be such that it would satisfy the equation

y=3/4x+7

Putting x = 0, we get:

y=3/4(0)+7

y=7

Thus, the y-coordinate of the point on this line whose x-coordinate is 0 is 7. Thus, (0,7) is one of the point coordinates on the considered line.

Putting x = 3, we get:

y=3/4(3)+7

y=9.25

Thus, the y-coordinate of the point on this line whose x-coordinate is 0 is 9.25. Thus, (0,9.25) is another of the point's coordinates on the considered line.

Thus, for drawing the graph for y = 3/4x + 7, a person can draw a point at x of 0 and y of __7_, a second point by going over 3 and up __8.25__, and then draw a line through the points.

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The area of the composite figure is 122.24 units².

The composite figure consist of a rectangle and two semi circles. Therefore, the area of the composite figure is the sum of the area of the individua shapes.

Hence,

area of the composite figure = area of the rectangle + 2(area of semi circle)

Therefore,

area of the composite figure = 9 × 8 + 2(1 / 2 πr²)

area of the composite figure = 72 + πr²

where

r = 8 / 2 = 4 units

Therefore,

area of the composite figure = 72 + 3.14 × 4²

area of the composite figure = 72 + 3.14 × 16

area of the composite figure = 72 + 50.24

area of the composite figure = 122.24 units²

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Answer:

your answer would be 0.052

Answer:

Cube

Step-by-step explanation:

Answer:

\(\huge\boxed{\bf\:59.7^{\circ}\:F}\)

Step-by-step explanation:

Temperature during the day = \(35.2^{\circ}F\)

Temperature at night = \(-24.5^{\circ}F\)

Difference in the temperatures

= Temperature during the day - Temperature at night

= \(35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}\)

Difference in the temperatures = 59.7° F

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Answer:

X=1

Step-by-step explanation:

Answer: My teacher told me to use 180 and divide something.

Step-by-step explanation:

Answer:

isnt itjust 15?

Step-by-step explanation:

1 +1+1+1 = 4  5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry

Answer:

30

Step-by-step explanation:

Answer:

12 * Answer:
12 x 3 = 36 + 6 = 42,
Step-by-step explanation:

Step-by-step explanation:

Answer:

the answer will be 4/36

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

125

Step-by-step explanation:

We know that the side length is 5, and the formula for the volume of a cube is the side length cubed. Therefore, 5 cubed is equal to the volume.

A value cubed is equal to a value multiplied by itself twice. Therefore, 5 cubed is equal to 5 * 5 * 5. This is equal to 125

Answer:

125

Step-by-step explanation:

Answer:

62-28=34, and 60-30=30, so it will look like this...

34=30

This is false because 34 is greater then 30

Step-by-step explanation:

Answer:

False, hope it helps :)

Step-by-step explanation:

62 - 28 = 34, 60 - 30 = 30

Answer:

x = (-5 ± 2√10) / 3

Step-by-step explanation:

5 − 10x − 3x² = 0

Write in standard form:

-3x² − 10x + 5 = 0

Solve with quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-10) ± √((-10)² − 4(-3)(5)) ] / 2(-3)

x = [ 10 ± √(100 + 60) ] / -6

x = (10 ± 4√10) / -6

x = (-5 ± 2√10) / 3

Step-by-step explanation:

\(5 - 10x - 3 \times 2 = 0\)

\(multiply \: the \: numbers \\ \\ 5 - 10 x- 6 = 0\)

\(collect \: like \: terms \\ \\ 5 - 6 - 10x\)

\( - 1 - 10x = 0\)

\( - 10x = 1\)

\(divide \: both \: sides \: of \: the \: equation \: by \: - 10\)

\(x = - \ \frac{1}{10} \)

\(alt \: form \: = \\ \\ = 0.1 \\ x = - 10 {}^{ - 1} \)

Hope this helps. :)

Answer:

15 in, 4 in, 20 in

Step-by-step explanation:

The sum of the smaller two sides of a triangle must be greater than the third side.

Answer:

(-15$) • 12

Step-by-step explanation:

Because your taking away 15$ from each month, and there's 12 month each year.

I explained each answer choice in the comments bellow.

Answer:

The Naswer is the Last one, D

Step-by-step explanation:

Answer:

Therefore, the area of the triangle with vertices at A(2, 2), B(4, 5), and C(7, 5) is approximately 4.5, to the nearest tenth.

Step-by-step explanation:

To find the area of a triangle with vertices at A(2, 2), B(4, 5), and C(7, 5), you can use the Shoelace Theorem.

The Shoelace Theorem states that the area of a polygon with vertices (x1, y1), (x2, y2), ..., (xn, yn) is given by the following formula:

A = 1/2 * |(x1y2 + x2y3 + ... + xn-1yn + xny1) - (y1x2 + y2x3 + ... + yn-1xn + ynx1)|

To apply the Shoelace Theorem to a triangle with vertices at A(2, 2), B(4, 5), and C(7, 5), you can plug in the coordinates of these vertices into the formula:

A = 1/2 * |(25 + 45 + 72) - (24 + 57 + 52)|

= 1/2 * |(10 + 20 + 14) - (8 + 35 + 10)|

= 1/2 * |44 - 53|

= 1/2 * |-9|

= 1/2 * 9

= 4.5