The playground director has a total of
24 basketballs and footballs. He has
6 more footballs than basketballs, How
many of each does he have?

Answers

Answer 1

Answer:

9 basketballs

15 footballs

Step-by-step explanation:

The number of basketballs will be y.

The number of basketballs will be y + 6.

y + y + 6 = 24

2y + 6 = 24

2y + 6 - 6 = 24 - 6

2y = 18

2y ÷ 2 = 18 ÷ 2

y = 9

y + 6

9 + 6 = 15


Related Questions

ANSWER ASAP PLS!!!!!

A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

see below

Step-by-step explanation:

f(n) = 10(1.02)^n

Part A

Let f(n) = 11.04

11.04 = 10 * 1.02 ^n

Divide each side by 10

11.04/10 = 1.02^n

1.104 = 1.02^n

Taking the log of each side

log 1.104 = log 1.02^n

We know log a^b = b log a

log 1.104 = n log 1.02

log 1.104 / log 1.02 = n

4.99630=n

Rounding n to 5

The domain should be 0 ≤n≤5

Part B

f(n) = 10(1.02)^n

The function is in the form y =a b^x  where a is the y intercept

The y intercept is 10.  This is the value when n =0 days.

Part C

To find the average rate of change

f(5) - f(1)

-----------

5-1

f(5) = 11.04  

f(1) = 10 *1.02 =10.2

11.04 - 10.2

-----------

5-1

.84

-----

4

.21 cm per day

The average rate of growth over the 4 days is .21 cm per day

Answer:

Part A: A reasonable domain to plot the growth of the function would be: 0 < n < 5.

Part B: The y-intercept of the graph of the function f(n) represents the height of the plant in 0 days when it first began.

Part C: The average rate of change of the function from n = 1 to n = 5 is 0.84 or 0.21cm per day. It represents the amount of growth for the plant over 4 days.

, Hope this helps :)

Have a great day!!

which of the following is the quotient of the rational expressions shown below? x/3x-1 divided by x-2/2x ?

Answers

Answer:

Below.

Step-by-step explanation:

x/3x-1 divided by x-2/2x

= x/3x-1 * 2x/x-2

= 2x^2/(3x-1)(x-2).

If we expand the denominator it is

2x^2/(3x^2-7x+2).

Mrs. Smith bought 6.2 kg of cassava and 1 kg 250 g of bananas. What is the total weight in kg? ​

Answers

Step-by-step explanation:

my answer is in the image above

The distance between two points is 10 units, if the coordinates of one of the endpoints are (4, -7), find x if the coordinates of the other endpoint are (x, 1).​

Answers

Answer:

10

Step-by-step explanation:

let the distance = d

d² = (x2-x1)² + (y2-y1)²

=>

10²= (x-4)²+(1+7)²

100 = (x-4)²+64

(x-4)²=100-64

= 36

x-4 = √36

x-4=6

x= 6+4

x= 10

Please help me I don’t understand …

Answers

Answer:

X=90°

Y=58°

Z=32°

Step-by-step explanation:

X=180°-90°=90°

Y=180°-90°-32°=58°

Z=180°-58°-90°=32°

Answer:

x = 90°, y = 58°, z = 32°

Step-by-step explanation:

The angles in a square = 90° , then

x = 90° ( adjacent angle )

The sum of the 3 angles in a triangle = 180° , then

x + y + 32° = 180° , that is

90° + y + 32° = 180°

y + 122° = 180° ( subtract 122° from both sides )

y = 58°

y + 90° + z = 180° ( straight angle )

58° + 90° + z = 180°

148° + z = 180° ( subtract 148° from both sides )

z = 32°

Neglecting air resistance and the weight of the propellant, determine the work done in propelling a five-ton satellite to a height of (a) 100 miles above Earth and (b) 300 miles above Earth.

Answers

Answer:

a) the work done in propelling a five-ton satellite to a height of 100 miles above Earth is 487.8 mile-tons  

b) the work done in propelling a five-ton satellite to a height of 300 miles above Earth is 1395.3 mile-tons

Step-by-step explanation:

Given the data in the question;

We know that the weight of a body varies inversely as the square of its distance from the center of the earth.

⇒F(x) = c / x²

given that; F(x) = five-ton = 5 tons

we know that the radius of earth is approximately 4000 miles

so we substitute

5 = c / (4000)²

c = 5 × ( 4000 )²

c = 8 × 10⁷

∴ Increment of work is;

Δw =  [ ( 8 × 10⁷ ) / x² ] Δx

a) For 100 miles above Earth;

W = ₄₀₀₀∫⁴¹⁰⁰ [ ( 8 × 10⁷ ) / x² ] Δx

= (8 × 10⁷) [tex][[/tex] [tex]-\frac{1}{x}[/tex] [tex]]^{4100}_{4000[/tex]

= (8 × 10⁷) [tex][[/tex] [tex]-\frac{1}{4100}[/tex] [tex]+\frac{1}{4000}[/tex] [tex]][/tex]

= (8 × 10⁷ ) [ 6.09756 × 10⁻⁶ ]

= 487.8 mile-tons  

Therefore, the work done in propelling a five-ton satellite to a height of 100 miles above Earth is 487.8 mile-tons  

b) For 300 miles above Earth.

W = ₄₀₀₀∫⁴³⁰⁰ [ ( 8 × 10⁷ ) / x² ] Δx

= (8 × 10⁷) [tex][[/tex] [tex]-\frac{1}{x}[/tex] [tex]]^{4300}_{4000[/tex]

= (8 × 10⁷) [tex][[/tex] [tex]-\frac{1}{4300}[/tex] [tex]+\frac{1}{4000}[/tex] [tex]][/tex]

= (8 × 10⁷ ) [ 1.744186 × 10⁻⁵ ]

= 1395.3 mile-tons

Therefore, the work done in propelling a five-ton satellite to a height of 300 miles above Earth is 1395.3 mile-tons

Pls help I’m need to get my grade up

Answers

Answer:

38

Step-by-step explanation:

So, we know the formula is:

D=rt or D=r*t

We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.

Here are the two sets we can look at:

t=2, d=76

t=3, d=114

Lets plug these in and solve:

76=r*2

Divide both sides by 2 to get r alone:

38=r

Now lets check if this is true by pluggin in 38 for r in the second set, and seeing if it works:

D=r*t

114=38*3

=

114=114

So 38 is our answer.

Hope this helps!

The correct number for your question is 38

In the sale, Mo buys a jacket for $63.
The original price was reduced by 25%.
Calculate the original price of the jacket.

Answers

Answer:

$84

Step-by-step explanation:

63÷3=21

63+21=84

Hope this helps! :)

A desk is on sale for $368 , which is 36% less than the regular price.
What is the regular price? PLEASE SHOW EXACTLY HOW TO DO THIS

Answers

The regular price of the desk found using the discount and the selling price is $575.

What is meant by the discount rate of an item?

Discount pricing is a form of promotional pricing strategy where the original cost of a good or service is decreased in an effort to draw more customers, move inventory, and boost sales. Consumers adore feeling as though they are getting a fantastic bargain, which is why they are lured to reduced costs. The selling price is the price at which the good or commodity has actually been sold, whereas the marked price is the cost set by the seller in accordance with market norms. The buyer claims to have received a discount when the selling price is less than the marked price.

Given,

The selling price of the desk = $368

The percentage of discount = 36%

Let the regular price be x.

then we can write the following equation,

x - 36% of x = 368

x - 0.36x = 368

0.64x = 368

x = $575

Therefore the regular price of the desk found using the discount and the selling price is $575.

To learn more about the discount rate, follow the link.

https://brainly.com/question/7459025

#SPJ1

Can anyone please help me

Answers

Answer:

The experiment shows the frequency of results derived from tossing a coin

Which represents where f(x) = g(x)

Answers

Answer: f(2) = g(2) and f(0) = g(0)

Explanation: The graphs equal the same thing (intercept) at those x values!

The volume of a right cylinder is 277 cubic centimeters, and the
height is 3 centimeters (cm). What is the radius of the cylinder?

Answers

Answer:

3cm

use the formula for the volume of a cylinder

and substitute

3cm maybe is the correct answer

Convex angles help me

Answers

Answer:

C, D, F

Step-by-step explanation:

Shape A is not a polygon; it has a line that doesn't connect anywhere. Even if it is a polygon, it would be concave. Shape B is a concave polygon, shape E is also a concave polygon, shape G and H are also concave polygons. Only shapes C, D, and F are convex polygons. Concave polygons are shapes that cave in, and convex polygons are caves that don't cave in.

Here is some record keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. day change Monday +2000 Tuesday -125 Wednesday -127 Thursday +1719 Friday -356 Saturday -782 Sunday 0 2. How many paper cups are left at the end of the week?


Do only number 2 ​

Answers

Answer:

2329

Step-by-step explanation:

2000 - 125 - 127 + 1719 - 356 - 782 = 2329

18- 3 x 2/5 - 12
Could someone help me with this?​

Answers

Answer:

I hope it helps u.......

SXB SXB SXB SXB SXB SXB SXB And And And And aand as a

Consider the polygon defined by the coordinates A(−3, 5), B(3, 7), C(6, −2), and D(0, −4). Which statements are correct?

A) Area of ABCD = 60 units2
B) AB = 60 units
C) CD = 40 units
D) BC = 80 units
E) Perimeter of ABCD ≈ 31.6 units

Answers

Answer:

A,C,E

Step-by-step explanation:

A landscaper is making a garden bed in the shape of a rectangle. The length of the garden bed is 2.5 feet longer than twice the width of the bed. The area of the garden bed is 62.5 square feet. What is the perimeter of the garden bed, in feet?

Answers

Answer:

I'll setup the problem, then you can do the calculations

Step-by-step explanation:

Perimeter = 2width(W) + 2length (L)

Area = LW

L = 2.5 + 2W

LW = 62.5

substitute L in equation for area

[tex]2.5W + {2W}^{2} = 62.5 \\ \\ {2W}^{2} + 2.5 - 62.5 \\ \\ use \: quadratic \: solution \\\frac{ - b ± \sqrt{ {b}^{2} - 4ac}}{2a} [/tex]

a = 2; b = 2.5; c = 62.5

send a comment if you have a question

The perimeter of a rectangle.

P = 2 ( length + width )

The area of a rectangle.

Area = length x width

The perimeter of the rectangle shape garden bed is 32 feet.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

A rectangular shape Landscaper:

Width = W

Length = 2.5 + W

Area = 62.5 square feet

The perimeter of a rectangle.

P = 2 ( length + width )

The area of a rectangle.

Area = length x width

Now,

Area = 62.5

length x width = 62.5

(2.5 + W)  x W = 62.5

2.5W + W² = 62.5

W² + 2.5W = 62.5

W² + 2.5W - 62.5 = 0 ______(A)

The roots of this equation (A) are:

W = 6.75 and W = -9.25 (eliminated)

Now,

Length = 2.5 + 6.75 = 9.25 feet

Width = 6.75 feet

The perimeter of the rectangle.

P = 2 ( length + width )

P = 2 x (9.25 + 6.75)

P = 2 x 16

P = 32

Thus,

The perimeter of the rectangle shape garden bed is 32 feet.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ2

Evaluate if 8y + 4x – (2x + 3) if x = – 2 and y = 6

Answers

Answer:

41

Step-by-step explanation:

substitute x=-2 and y=6, we know

8×6 +4×(-2) -(2×(-2) +3) = 48-8-(-1) =41

Answer:

41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

8y + 4x - (2x + 3)

x = -2

y = 6

Step 2: Evaluate

Substitute in variables:                                                                                     8(6) + 4(-2) - (2 · -2 + 3)(Parenthesis) Multiply:                                                                                      48 - 8 - (-4 + 3)(Parenthesis) Add:                                                                                            48 - 8 - (-1)Subtract:                                                                                                            41

A study examines the relationship between educational preparation and scores on a cultural competency exam. Subjects included are nurses with an associate's degree, nurses with a baccalaureate degree, nurses with a master's degree, and nurses with a doctoral degree. In this example, cultural competency is measured at what level?

a. Dependent variable
b. Independent variable
c. Outcome
d. Significant variable

Answers

Answer:

b. Independent variable

Step-by-step explanation:

Understanding the definition of variables is necessary to grasp the notion of independent and dependent variables. The attributes or sorts of features of specific occurrences or things are specified as variables.

Independent variables are variables that are modified or altered by researchers and the consequences of these modifications are evaluated and compared. 

The term dependent variable relates to a sort of variable that assesses how the independent variable(s) impact the test results.

From the given information:

Education level is the predictor since we understand that nurses' education levels are closely correlated with their cultural competence scores. By applying the concept of the logistic regression model and using education level as an independent variable(predictor), we can simply predict their cultural competency. Thus, cultural competency is measured by using the independent variable.

I need help I’ll give u brainlest

Answers

Answer:

216 yd³

Step-by-step explanation:

Volume of a rectangular prism

= product of the three orthogonal sides

= 6yd * 6yd * 6yd

= 216 yd³

Answer:

216

Step-by-step explanation:

:)

fill in the blanks the 2 digit largest whole number is______​

Answers

99 is the correct answer

Can anybody help me with this problem regarding Line Integrals (Calc 3)?

Compute ∫F*dr, given the counterclockwise unit circle C : cos((pi)t), sin((pi)t), t∈[0,2] and the vector field F(x,y) = (y²,-x²)

Answers

The line integral is

[tex]\displaystyle \oint_C\mathbf F(x,y)\cdot\mathrm d\mathbf r = \int_0^2 \mathbf F(x(t),y(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt \\\displaystyle= \int_0^2 (\sin^2(\pi t),-\cos^2(\pi t))\cdot(-\pi\sin(\pi t),\pi\cos(\pi t))\,\mathrm dt \\\displaystyle=-\pi\int_0^2(\sin^3(\pi t)+\cos^3(\pi t))\,\mathrm dt = \boxed{0}[/tex]

Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?

Answers

Answer:

Time for a round trip = 12.5 hours

Step-by-step explanation:

Mother's house = 250 miles

Total distance for the round trip = 250 + 250 = 500 miles

Given speed = 40 mph

Find time .

[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]

About 12.5 hours (hope this helps sorry if I’m wrong)

Need help with this question

Answers

Answer:

cant see it

Step-by-step explanation:

just type it out

she sells 6adult tickets and 5 children tickets on the first day totaling $112.50 and on the second day she sells 8adult tickets and 4 childrens tickets totaling $130. write an equation for each day and use the elimination method

Answers

Answer:

Cost of adult ticket = $12.5

Cost of child ticket = $7.5

Step-by-step explanation:

Given:

Cost of 6 adult ticket and 5 child ticket = $112.5

Cost of 8 adult ticket and 4 child ticket = $130

Find:

Equation and solution

Computation:

Assume;

Cost of adult ticket = a

Cost of child ticket = b

So,

6a + 5b = 112.5....eq1

8a + 4b = 130 ......eq2

Eq2 x 1.25

10a + 5b = 162.5 .....eq3

eq3 - eq1

4a  = 50

Cost of adult ticket = $12.5

8a + 4b = 130

8(12.5) + 4b = 130

Cost of child ticket = $7.5

If m and n are two rational numbers, then m+n lies between m and n
2​

Answers

Answer:

19thuuzvdkedhddudhjdhdhfghfidhdhdhfheidhfjr9fddy6gqufgaqgxhrhrydudkydtdffyztstdtiztuytzmyrsyrststststsut0egjjefeigjeojokfzbkehfzifgihrxeudihxizhieg9zfjz9deffejfjiefeihfiefhiefhefiefh3fr3hi3jfhfhfkzdhf2ivuvdfuvuzfecfkfidyfl5a4

he speeds (in MPH) of automobiles traveling in a city are given below:
20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58
The mean speed of the cars is

Answers

Answer:

Mean speed = 41.3 mph

Step-by-step explanation:

Given that,

The speeds of an automobiles are given below:

20, 35, 42, 52, 65, 49, 24, 37, 23, 41, 50, 58

We need to find the mean speed of the cars.

Mean = sum of observations/ no. of observation

[tex]M=\dfrac{20+35+42+52+65+49+24+37+23+41+50+58}{12}\\\\M=41.3[/tex]

So, the mean speed of the cars is equal to 41.3 mph.

simplify 4-x squared ÷2x-x squared

Answers

Answer:

4-[tex]\frac{x}{2}[/tex]-[tex]x^{2}[/tex]

Step-by-step explanation:

Value of 140 degree in diagrams​

Answers

Answer:

There are 360º in a circle. 140º has been allocated to one angle.

There are 360-140 = 220º left in the circle.

Step-by-step explanation:

If 82 pages had between 7 and 9 errors, what was the approximate total number of pages in the book?

A: 202 pages

B: 120 pages

C: 68 pages

D: 56 pages

Answers

Answer:

120 pages

Step-by-step explanation:

The mean number of error per page = 8 ; Standard deviation = 1

Given that :

82 pages has between 7 and 9 errors per page ;

Using the empirical rule :

7 = 8 - 1 = 1 standard deviation below the mean

9 = 8 + 1 = 1 standard deviation above the mean

1 standard deviation from the mean = 68%

Hence, 82 pages = 68%

Approximate total pages :

68% = 82

100% = total pages, x

0.68 = 82

1 = x

0.68x = 82

x = 82 / 0.68

x = 120.588

Hence, total number of pages is 120 pages

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