Ninety-six golf balls were picked up at the
driving range and placed into two buckets.
One bucket has twenty-eight more balls
than the other bucket. How many golf
balls are in each bucket?

Answers

Answer 1

Answer: 34 in one bucket, 62 in the other

======================================================

Work Shown:

x = number of golf balls in bucket A

y = number of golf balls in bucket B

Let's say bucket B has more golf balls. More specifically it has 28 more golf balls, so,

y = x+28

The two quantities must add to 96 golf balls total.

x+y = 96

x+x+28 = 96

2x+28 = 96

2x = 96-28

2x = 68

x = 68/2

x = 34 is the number of golf balls in bucket A

y = x+28

y = 34+28

y = 62 is the number of golf balls in bucket B

-------------

Check:

x+y = 34+62 = 96

The answer is confirmed.


Related Questions

You may recall that the area of a rectangle is A=L⋅W, where W is the width and L is the length.

Suppose that the length of a rectangle is 4 times the width. If the area is 900 square feet, then what is the width of the rectangle, in feet?

Answers

Answer:

Width = 15 ft

Step-by-step explanation:

Given formula,

→ A = L × W

Let us assume that,

→ Length = 4x

→ Width = x

→ Area = 900 ft²

Then the value of width will be,

→ A = L × W

→ 900 = 4x × x

→ 4x² = 900

→ x² = 900/4

→ x = √225

→ [ x = 15 ft ]

Hence, the value of width is 15 ft.

8 3/7 x 7 2/15 Add. Express your answer in lowest terms.

Answers

Answer:

Step-by-step explanation:

Step 1: Convert
8 3/7= 43/5
7 2/15= 10/15

Step 2: Multiply
43×107=4601
----------
5×15=75

[tex]\frac{4601}{75}[/tex]

Step 3: Convert to an improper fraction

[tex]\frac{4601}{15}= 61\frac{26}{75}[/tex]

Hence, our answer is 61 26/75

in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .

Answers

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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You need 6 cups of fruit punch. use 2 cups of pineapple juice add 1 cup of cranberry juice. How many cups of orange juice should you add?

Answers

Answer:3

Step-by-step explanation:easy 2 cups of pj plus cranberry juice is 3, get 6 by adding 3 again

The steel is more dense than lake water

Answers

Answer:

true

Step-by-step explanation:

That is a true statement.

The density of steel is approx. 7.85 g/cm³.

The density of water is approximately 1 g/cm³.

Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.

Answers

Answer:

6x + 9 = 4

Step-by-step explanation:

(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)

Answers

Step-by-step explanation:

y=1

x=1

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if x=2 then solve |-3x - 5| + |-1 - x^2| + 2x^3

Answers

Answer:

32

_____

Work

         [tex]\left|-3\left(2\right)-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\\left|-3\cdot \:2-5\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-3 \cdot 2 - 5 = -11\\\left|-11\right|+\left|-1-2^2\right|+2\cdot \:2^3\\-1 - 2^2 = -1 - 4 = -5\\\left|-11\right|+\left|-5\right|+2\cdot \:2^3\\|-11| = 11\\|-5| = 5\\2 \cdot 2^3 = 2 \cdot 8 = 16\\11+5+16\\=32[/tex]

_____

Create and solve a proportion: to find the cost of 4 hamburgers if 5 hamburgers cost $21.98.

Answers

Answer:

4/x = 5/21.98 ; x=17.584

Step-by-step explanation:

subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584

Answer:

ehuyqkqbdksjs

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(b) If you put $7750 in the ATM each day, what percent of the days in a month should you expect to run out of cash?

Answers

The percent of the days in month that the cash will run out is given as: 23.33%. See the computation below.

What is the explanation that justified the above answer?

Money put in ATM per day=$7750

We have to find the percent of days in a month you should expect to run out of cash.

From the given information

There are 7 days in which you run out cash more than $7750

Assuming that the total number  of days in a month = 30

Hence, we can arrive at the above value by saying:
(Corresponding days/Total number of Days) * 100

From we above we state:

(7/30) * 100

= 23.33%

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Answers

Answer: Why is the question blank

Also the answer is 5.2

Step-by-step explanation:

Create a scaled copy of ABCD using a scale factor of 2.

Answers

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

How to create a scaled copy of a quadrilateral

A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.

The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).

Second, determine the coordinates of the new quadrilateral by using the dilation formula:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]          

Where:

k - Scale factorO(x, y) - Center of dilationP(x, y) - Original pointP'(x, y) - Dilated point

If we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:

A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]

A'(x, y) = (1, 9)

B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]

B'(x, y) = (1, 9) + 2 · (2, 0)

B'(x, y) = (1, 9) + (4, 0)

B'(x, y) = (5, 9)

C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]

C'(x, y) = (1, 9) + 2 · (1, - 2)

C'(x, y) = (1, 9) + (2, - 4)

C'(x, y) = (3, 5)

D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]

D'(x, y) = (1, 9) + 2 · (0, - 1)

D'(x, y) = (1, 9) + (0, - 2)

D'(x, y) = (1, 7)

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

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A toll-free consumer information line answered 105 of 120 questions in one day. What is the daily success rate of the information line?

Answers

The daily success rate of the toll-free answers is 87.5%.

What is described as a percentage?A percentage is a fraction of a whole represented as a number from zero and 100. Nothing is zero percent, everything is 100 percent, 50 per cent of everything is fifty percent, and nothing is zero percent.To calculate a percentage, divide this same portion of the total by the total and multiply by 100.

Now, as per the given data;

The number of consumer information asked in one day is 120.

Total number of toll-free consumer's question answered = 105.

To find the daily success rate, determine the percentage of 105.

Let the x% of the total be 115.

Thus, x% of 120 = 105

x × 120/100 = 105

12x = 1050

x = 1050/12

x = 87.5 %

Therefore, the answer rate of the toll-free is 87.5%,

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The mass of an oxygen molecule is about 0.000000000000000000000053 g. What is it’s scientific notation?

Answers

Answer:

5.3 x 10^-23 g

I need help with my homework

Answers

The lengths of the other two sides is 6 inches each.

The perimeter of any figure is sum of all the sides of the figure.

Here, we are given that the area of a triangle is 18 inches. Also, in the figure, we can see that the 3 sides of the triangle are-

6 inches, s inches and s inches.

Therefore, the perimeter of the given triangle will be-

Perimeter = 6 + s + s

⇒ 18 = 6 + s + s

Thus, the equation to find the lengths of the two sides is-

18 = 6 + 2s

18 - 6 = 2s

12 = 2s

2s = 12

s = 12/ 2

s = 6

Thus, the lengths of the other two sides is 6 inches.

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What are the solutions of this quadratic equation?
x² - 6x+2=0
OA.
O B.
OC.
2-3 ± √7
CD. 2-3 ± √11
-6 ± √7
x=3+√7

Answers

X=-3 plus or minus square root of 7

Complete the missing values. (Hint 1 yard-3 feet)
2/ yd =
ft

Answers

Answer:

6 ft

Step-by-step explanation:

if 1 yard = 3 feet, you add +3 to the second one because its 2x more

Simplify : p^2-p-12/p^2-10p+24​

Answers

Step-by-step explanation:

[tex] = \frac{ {p}^{2} - p - 12 }{ {p}^{2} - 10 + 24} \\ [/tex]

[tex] = \frac{ {p}^{2} - (4 - 3)p - 12 }{ {p }^{2} - (6 + 4)p + 6 \times 4} \\ [/tex]

[tex] = \frac{ {p}^{2} - 4p + 3p - 4 \times 3 }{ {p}^{2} - 6p - 4p + 6 \times 4 } \\ [/tex]

[tex] = \frac{p(p - 4) + 3(p - 4)}{p(p - 6) - 4(p - 6)} \\ [/tex]

[tex] = \frac{(p + 3)(p - 4)}{(p - 4)(p - 6)} \\ [/tex]

[tex] = \frac{p + 3}{p - 6} \\ [/tex]

☘️☘️☘️...

Shirley and Pam, working together, can mow the lawn in 6
6
hours. Working alone, Pam takes three times as long as Shirley. How many hours does it take Shirley to mow the lawn alone? Round your answer to two decimal places, if needed.

Answers

Shirley will take 8 hours to complete mowing the field alone.

We are given that Shirley and Pam, working together, can mow the lawn in 6 hours.

So, work done if 1 hour together = 1 / 6

Also, we are given that Pam takes three times as long as Shirley when she works alone.

Time taken by Pam = 3 times Time taken by Shirley.

Let the time taken by Shirley be y.

Job done in 1 hour = 1 / y

Time taken by Pam = 3 y

Job done in 1 hour = 1 / 3y

ATQ:

1 / y + 1 / 3 y = 1 / 6

4 / 3 y =1 / 6

24 = 3 y

y = 24 / 3

y = 8 hours.

Therefore, Shirley will take 8 hours to complete mowing the field alone.

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let's find the sizes of unknown angles in the following figures. ​

Answers

Answer:

if this shape has greater that's obtuse

determine the range of the following graph, help me please!!​

Answers

Answer: Range: -9<=y<=-4

Step-by-step explanation:

Starts at (-5,-4), ends at (3, -9). Look at the y-coordinates

Range starts at y=-4, ends at y=-9. In the graph, there are no y-coordinates that are greater than -4 and less than -9.

Range: -9<=y<=-4

Answer:

-9 ≤ y ≤ -4

Step-by-step explanation:

Hello!

The range is the set of y-values that the graph goes through.

The minimum y-value of this graph is -9, and the maximum y-value is -4. Since the endpoints are filled in, we use the ≥ or ≤ symbols to write the inequality.

The inequality is -9 ≤ y ≤ -4.

Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10 what is the graph of the new line

Answers

the graph of the new line ,Graph the line (-3,1) that is perpendicular to the line with the equation 2x+5y=10.

Definition:Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

x = 3

The points are on a vertical line because they share the same x-coordinate. A vertical line has the equation x=constant. The x-coordinate of the points must match the constant:

x = 3 . . . . formula for the line

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Classify the relationship(s) between the two following sets: A = {Joe Hawley, Noah Spence, Clinton McDonald, DaVonte Lambert, Luke Stocker} B = {Andrew DePaola, Mike Lennon, Sealver Siliga, Freddie Martino}

Answers

Answer: both

Step-by-step explanation:

please help me with this math homework​

Answers

Answer:

Step-by-step explanation:

(2*9/5d*9)-(1*5/9d*5)

18/45d-5/45d

13/45d


Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5

Answers

Answer:

  2x +3y = -27

Step-by-step explanation:

You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).

Parallel line

A parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.

To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:

  2x +3y = c

  2(-3) +3(-7) = c = -6 -21 = -27

The desired equation is ...

  2x +3y = -27

through(–3, 8) and perpendicular to y=-1/4x-3

Answers

Answer:

it's is the way to do it

Step-by-step explanation:

the equation is X-4y-35

By eating 1​ egg, 1​ cupcake, and 1 slice of​ pizza, a child consumes 300 mg of cholesterol. If the child eats 3 cupcakes and 4 slices of​ pizza, he or she takes in 82 mg of cholesterol. By eating 2 eggs and 1​ cupcake, a child consumes 568 mg of cholesterol. How much cholesterol is in each​ item?

Answers

Answer: 300

Step-by-step explanation:

Question 3
1 pts
A survey was conducted by visiting a student parking lot to estimate the proportion of
cars that were red. Which of the following is NOT correct?

A. If another sample of cars was chosen, it is likely that a different proportion of cars that are red
would be obtained.

B. The sample would be representative of the population if 100 cars were chosen regardless if
randomization was used or not.

C. Even though a random sample was taken from cars in the parking lot, the sample may not be
representative of the cars driven by students because the decision to park in that particular lot is
self-selected.

D. If the sampled stall was empty, we can simply choose another stall, at random, to take its place
because it is not likely that the stall being vacant is related to a car being red.

Answers

The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;

A survey was carried out by visiting a student parking lot to estimate the number of red cars.

If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.

The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;

Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.

because the decision to park in that particular lot is typical of the cars driven by students self-selected.

If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.

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A submarine was a number of feet, f, below sea level. The submarine ascended to an elevation
of 0 feet above sea level. What must be true about the number of feet the submarine ascended?

Answers

The number of feet the submarine ascended is the same as the number of feet f below sea level.

What is a number line?

A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.

We have,

The submarine is at feet f below sea level.

We represent the distance below sea level by a negative number.

We represent ascended by a positive number.

So the distance traveled by submarine is:

= Distance below sea level + Distance ascended

= (-f) + distance ascended

We have,

The submarine ascended to 0 feet above sea level.

This means,

The distance traveled by submarine = 0

Distance below sea level + Distance ascended = 0

(-f) + Distance ascended = 0

Distance ascended = f

Thus the number of feet the submarine ascended is same as the number of feet f below sea level.

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Help
Find a if A = 8a

Answers

Answer:

a(A) = 0

Step-by-step explanation:

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