A cone shaped scoop is being used to fill a
cylindrical bucket of water. The scoop and the
bucket have the same height and radius. How
many scoops of water would it take to fill the
bucket 15 times?​

Answer:

5 and 11

Step-by-step explanation:

The area of a trapezoid is

A = 1/2 (b1+b2)*h

We know the height  is 8 and the area is 64.  

Let one of the bases is b and the other is b+6

64 = 1/2 (b+ b+6) *8

Combine like terms

64 = 4 (2b+6)

Divide each side by 4

64/4 = 4/4 *(2b+6)

16 = 2b+6

Subtract 6 from each side

16-6 = 2b+6-6

10 =2b

Divide each side by2

10/2 =2b/2

5=b

The second base is

5+6 =11

Answer:

C

Step-by-step explanation:

Use Law of Sines.

Find third angle, which is 26 degrees.

x/sin28=8.2/sin26

cross multiply, which becomes

xsin26=8.2sin28

then divide sin26 both sides

x=8.78

Answer:

[tex]P(B \cup b) =\frac{4}{7}[/tex]

Step-by-step explanation:

Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28

Let the number of those who play basketball =B

Let the number of those who play baseball =n

Number who play neither sport, [tex]n(B\cup b)'[/tex]=12

From Set Theory,

Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.

Mathematically,From Set Theory,

[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]

The Probability that a student chosen randomly from the class plays basketball or baseball

[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]

Answer:

4/7

Step-by-step explanation:

4/7

Answer:[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

4x^1/2=[tex]\sqrt[2]{4x}[/tex]=[tex]2\sqrt{x}[/tex]

Answer:

[tex]2\sqrt{x}[/tex]

Step-by-step explanation:

Fractional exponents always mean roots. The denominator indicates which root it is. Since the denominator here is 2, the root is a square, so:

[tex](4x)^{1/2}=\sqrt{4x} =2\sqrt{x}[/tex]

Thus, the answer is [tex]2\sqrt{x}[/tex].

Hope this helps!

Answer:

The answer to your question is 12 in

Step-by-step explanation:

Data

Circumference = 75 in

radius = ?

π = 3.14

Circumference is defined as the distance around the edge of a circle.

Formula

Circumference = 2 π radius

Solve for radius

Radius = Circumference / 2π

-Substitution

Radius = 75 / 2(3.14)

-Simplification

Radius = 75/6.28

-Result

Radius = 11.94 in ≈ 12 in

Answer:

1)  12in

Step-by-step explanation:

The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.

Answer:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

Step-by-step explanation:

[tex]\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}[/tex],[tex](denoted \:W_1, W_2, \:and\: W_3)[/tex]

If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and  its color is recorded.

The 25 Possible outcomes of this experiment are listed below:

[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]

[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]

The tree diagram of this event is also attached.

Answer:

9-2i

Step-by-step explanation:

(1 + 2i) * (1 - 4i)

(1*1)-(1*4i)+(2i*1)-(2i)*(4i)

(1)-(4i)+(2i)-(8i^2)

i^2 = -1

1-4i+2i+8

1-2i+8

9-2i

The multiplication and simplification of the complex numbers (1 + 2i) x (1 - 4i) results in 9 - 2i.

To multiply and simplify the complex numbers (1 + 2i) and (1 - 4i), we must use the distributive property, just like in normal algebra. We get (1*1) + (1*-4i) + (2i*1) + (2i*-4i), which is 1 - 4i + 2i - 8i². But remember, in complex numbers, i² equals -1, so it simplifies further to 1 - 2i -8(-1), or 1 - 2i + 8, and finally, 9 - 2i which is our final, simplified result.

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Answer:

400g

Step-by-step explanation:

mass= density × volume

Substitute the given value of density and volume.

Mass of the object

= 4(100)

= 400g

Answer:

D. 4/25

Step-by-step explanation:

To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.

Answer:

a. 32

b. 27

c. 64

d. 36

e. 1/16

f. 1/9

Answer:

a.32

b.27

c.64

d.36

e.1/16

f.1/9

Step-by-step explanation:

Hope it helps.!

Answer: D. 3 17/24​

Step-by-step explanation:

4 3/8 - 1 2/3

Final answer:

To find the distance Serena can hit a golf ball with her driver, we can multiply the distance with her 9-iron by 2.

Explanation:

To find the expression that represents the distance Serena hit the golf ball with her 9-iron, we know that the ball stopped x yards in front of the 100-yard marker. So, the distance Serena hit the ball with her 9-iron is 100 - x yards. To find how far Serena can hit a golf ball with her driver, which is twice as far as her 9-iron, we can multiply the distance with her 9-iron by 2. Therefore, the expression that represents the distance Serena can hit the golf ball with her driver is 2(100 - x) yards.

Answer:

The answer to your question is the first option

Step-by-step explanation:

Original expression

                                 -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                              they forgot the negative sign of the

                                                              second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                               original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

it is the slope its not that hard to figure out

Answer:

Hey.  I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.

Step-by-step explanation:

So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours.  40/8 = 5.  He walks 5 dogs an hour.  Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour.  5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.

We see that Angle C = 99.

Then we see that Angle A + 22 + Angle C = 180

Substitute in the 99

Angle A + 22 + 99 = 180

Angle A = 59

Answer:

$4.44

Step-by-step explanation:

$3.70 * 1.2 = $4.44

Answer:

$4.44

Step-by-step explanation:

Answer:

62 feet

Step-by-step explanation:

Hi there,

Let's start the problem by figuing out the width of the rectangle.

let w = the width of the rectangle.

The formula for the area of a rectangle is A = l*w, so let's plug in what we know.

228 = 12w

Now, let's solve for w, the width, by dividing both sides by 12

w = 19; The width is 19 feet.

Now, we have our length, 12 feet, and our width 19 feet.

So, we should now use the formula for perimiter to find the perimiter of this rectangle. The formula is P = W + W + L + L

Let's plug in the numbers

P = 12 + 12 + 19 + 19

P = 62 feet

Hope this helps! Stay safe!

- Emily

Answer:

Answer is A. (-1, 3)

Refer below.

Step-by-step explanation:

If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.

Answer:

10x10x2

Step-by-step explanation:

10 * 10 * 2 = 200

Answer:

27

Step-by-step explanation:

4(5) + 3(3) - 2

20 + 9 - 2

27

1) $56.75-$13.45=$43.3

2) $43.4-$16.32=$27.08

3) $27.08-$7.65=$19.43

Answer: she have left $19.43

Answer:

20

Step-by-step explanation:

12square + 16 square=400

Square root it = 20

Answer:

Step-by-step explanation:

a^2+b^2=c^2

144+256=?

144+256=400

the square root of 400 is 20

so the missing side is 20

The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.

The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.

First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.

Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.

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Answer:

  11. x = 6; y = 6.5

  12. x = 2; y = 4

Step-by-step explanation:

In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.

__

11. 2x +1 = x +7

  x = 6 . . . . . . . subtract (x+1) from both sides

and

  3y -8 = y +5

  2y = 13 . . . . add (8-y) to both sides

  y = 6.5 . . . . divide by the coefficient of y

__

12. x +3 = 3/2x +2

  1 = 1/2x . . . . . subtract (x+2)

  2 = x . . . . . . . multiply by 2

and

  2y -1 = 3y -5

  4 = y . . . . . . add (5 -2y)

Answer:

11. x=6;y=6.5  12. x=2;y=4

Step-by-step explanation:

hope that helped

Answer: The probability is 0.06

Step-by-step explanation:

Urn A contains 1 red ball and 4 blue balls.

Urn B contains 2 red balls and 3 blue balls.

The probability of "selecting" a ball of a given colour is equal to the number of balls of that colour in the urn divided by the total number of balls in the urn.

Now, the probability of drawing two balls of the same color in the fourth selection needs to:

1 selection: red ball from A and one blue ball from B, the probability is:

Pa = 1/5, Pb = 3/5, P = 1/5*3/5 = 3/25

second selection: a blue ball from A and one red ball from B, the probability is (remember that now we have one ball less in each urn):

Pa = 4/4, Pb = 2/4, P = 1*2/4 = 1/2

for the third selection we have that we again need to take a blue ball from A and a red ball from B, here the probability is:

Pa = 3/3, Pb = 1/3, P = 1*1/3 = 1/3

the total probability will be the product of the 3 selections

Pt = (1/3)*(1/2)*(3/25) = 0.02

but we have 3 possible permutations of those selections, in one we took the red ball from A in the first selection, other were we took it in the second, and others where we took it in the third.

So the actual probability is 3*Pt = 3*0.02 = 0.06

Answer:

The inequality is [tex]25w+200> 750.[/tex]

Step-by-step explanation:

The question is incomplete so the complete question is attached below:

Now, to write an inequality that can be used to find [tex]w[/tex], the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection.

Let the number of weeks be [tex]w.[/tex]

Number of cards Lawrence purchases each week = 25.

Number of cards Lawrence's father gave him = 200.

Total number of cards Lawrence will have more than in his collection = 750.

Now, to write an inequality that can be used to get the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection:

[tex]25\times w+200>750[/tex]

[tex]25w+200> 750.[/tex]

Therefore, the inequality is [tex]25w+200> 750.[/tex]

Answer:

(-3 x 3y) + 2x

Step-by-step explanation:

No, pet does not eat more dry food than wet food.

Here's the detailed explanation of the table:

The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:

This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.

For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.

The completed table is given below.

The complete question is given below:

-2. -3/4, -1/4, 2

-2 = -2

-3/4 = -0.75

-1/4 = -0.25

2 = 2