A school paid $248 for new basketballs and soccer balls. The number of basketballs purchased was 6 less than 3 times the number of soccer balls purchased. Basketballs cost $28 each and soccer balls cost $20 each. How many total balls did the school purchase?

Answers

Answer 1

Answer:

4 Soccer balls and 6 Basketballs

Step-by-step explanation:

You can solve this problem by setting up a system of equations. Letting x be Soccer balls and y be Basketballs. Remember, Money goes with, Money goes with Money, meaning that for this problem the first equation that can be made is $248 = $28y + $20x with Y being basketballs and x being soccerballs. Next is a little more difficult. You will be creating the equation y=3x-6 because it is 6 less than 3 times the amount of x or Soccer balls. From here you can plug in the equations into a graphing calculator and graph it and see where the two lines intersect. This would be at (4, 6). When I said to let x equal Soccer Balls and y equal basketballs that is where I got the 4 soccer balls and 6 basketballs.


Related Questions

A rectangular playground has an area of 2646 square meters. If the width of the rectangle is 42 meters, find the length.
The length of the rectangle is 63 meters.
Did I get it right, or no? If not do not give me the answer please!

Answers

Answer:

2646/ 42= 63

Step-by-step explanation:

Yes you got it right

I need help and D. Is x>-25

Answers

Answer:

x>50

Step-by-step explanation:

Answer:

x < 25

Step-by-step explanation:

Given

- 2x > - 50

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity

x < 25

A chef made 1,669 hamburgers last week and 347 this week how many more hamburgers did he make last week than this week​

Answers

Therefore 1332 more hamburgers he made last week than this week.

Number of hamburgers made by chef last week = 1669

number of hamburgers made by chef this week = 347

We have to find how many more hamburgers did he make last week than this week​ as

= No of hamburgers last week - no of hamburgers this week

= 1669 - 347

= 1322

Therefore 1332 more hamburgers he made last week than this week.

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Katy has kidney stones that need to be broken down and removed. Which healthcare professional would be primarily in charge of the procedure?
an endourologist
a surgical technician
a cytoscopic nurse
a urologic oncologist

Answers

Answer:

an endourologist

Step-by-step explanation:

just took the review

Answer:

a

Step-by-step explanation:

What is f(-4) if f(x)=-2x-8?

Answers

Step-by-step explanation:

First we find the function

g

(

f

(

x

)

)

To do this we substitute the variable

x

in

g

(

x

)

for

f

(

x

)

:

g

(

x

)

=

3

x

2

g

(

f

(

x

)

)

5. Mr. Franklin needs to purchase 60 AA batteries. A nearby store sells a 20-pack of AA batteries for $12.49 and a 12-pack of the same batteries for $7.20. Would it be less expensive for Mr. Franklin to purchase the batteries in 20-packs or 12-packs? What is the difference between the costs of one battery from each pack?

Answers

Answer: See explanation

Step-by-step explanation:

A nearby store sells a 20-pack of AA batteries for $12.49. Therefore, the cost of 1 pack will be:

= $12.49 / 20

= $0.6245

The store also sells a 12-pack of the same batteries for $7.20. The cost per pack will be:

= $7.20 / 12

= $0.6

Therefore, it will be less expensive for Mr. Franklin to purchase the batteries in 12 packs.

The difference between the costs of one battery from each pack will be:

= $0.6245 - $0.60

= $0.0245

Answer:

$0.0245

Step-by-step explanation:

graph the following equation using the slope intercept method
3x+5y=-15​

Answers

Answer:

Step-by-step explanation:

Find the equation of the line. Use exact numbers. ​

Answers

Answer:

y=1/2x-3

is the slope intercept form

Step-by-step explanation:

Hope this helps :) Have a great day!!!

-x + 4 = -12
What's x

Answers

Answer:

x =16

Step-by-step explanation:

-x+4=-12

 -4    -4

-x=-16

/-    /-

x=16

Answer:

x=16

Step-by-step explanation:

-x+4=-12

Subtract 4 from -12 ( -16 )

Divide

-x/-16 ( 16 )

x=16

A sales associate at an electronics store earns 9.5% commission on her total yearly sales. Last year, the sales associate earned an income of $11,875. What is the total amount of sales that the associate made last
year?

Answers

The total amount of sales made by the associate last year is $124,000.

What is defined as the percentage?

The term percent means "out of every hundred" or "per hundred."

The term is based on the Latin phrase per centum, which means "by the hundred." So, for every 100 units of something, a single percent represents one of those hundred units, or one percent.To calculate a percentage, divide the fraction of the total by the total but also multiply by 100.

Now, as per the given question;

Let the total sales done by the associate in last year is 'x'.

The commission earned on the total sales is 9.5%

Thus, 9.5% of x can be written as;

= (9.5×x)/100

The total earning from the sales is $11,875.

Thus,

(9.5×x)/100 = 11,875

Simplify the equation to find x.

x = (11,875×100)/9.5

x = 125,000

Therefore, the total sales done by the commissioner in last year was $125,000.

To know more about the percentages, here

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Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form. Please help:)

64,16,4

Answers

Answer:

Step-by-step explanation:

the common difference is 4

it is geometric

PLEASE HELP WITH MATH TEST I WILL MARK BRAINLIST



I will report you if you don’t help because all day I have been getting trolls

Answers

line m || line nangle 5 and angle 8 are vertical anglesangle 5 is congruent to angle 8angle 1 and angle 5 are corresponding angle pairsangle 1 is congruent to angle 5angle 1 is congruent to angle 8

are the Lines parallel, perpendicular, or neither?

Answers

Answer:            The lines are perpendicular.

To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.

Vocabulary and SlopeParallel

The lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.

Perpendicular

The lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.

The negative reciprocal of a number is when we flip the fraction upside down and change the negative sign.To check this, we could multiply the two slopes together and the answer will be –1.

How to Find Slope

Use the slope formula. Slope is represented by the letter m.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.

Choose which point coordinates will be x₁, y₁ and x₂, y₂.Substitute the points into the formula.Solve.

a) Blue line

The points are (2, -7) and (6, 5). The variables can be:

x₁ = 2

y₁ = -7

x₂ = 6

y₂ = 5

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{5--7}{6-2} }[/tex]        Simplify the numerator.

[tex]\displaystyle{ m=\frac{5+7}{6-2} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{12}{4} }[/tex]               Divide.

[tex]\displaystyle{ m=3 }[/tex]                 Solved for slope of blue line.

b) Green line

The points are (-1, 5) and (8, 2). The variables can be:

x₁ = -1

y₁ = 5

x₂ = 8

y₂ = 2

Substitute into the slope formula and solve for slope.

[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]

[tex]\displaystyle{ m=\frac{2-5}{8--1} }[/tex]        Simplify the denominator.

[tex]\displaystyle{ m=\frac{2-5}{8+1} }[/tex]           Simplify the numerator and denominators.

[tex]\displaystyle{ m=\frac{-3}{9} }[/tex]              Simplify the fraction.

[tex]\displaystyle{ m=-\frac{1}{3} }[/tex]              Solved for slope of green line.

Compare the Slopes

The slopes are:

[tex]\displaystyle{-\frac{1}{3}}[/tex] [tex]3[/tex], which is the same as [tex]\displaystyle{\frac{3}{1}}[/tex]

We know the slopes are not the same, so the lines are not parallel.

However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.

If we multiply the slopes together, we would get –1:

[tex]\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}[/tex]

∴ The lines are perpendicular.

Learn more about parallel and perpendicular lines here: https://brainly.com/question/12469044

HELP HELP HELP!!!!!is this correct?if not which one is correc

Answers

Answer:

Step-by-step explanation:

it has 2 solutions, 0 and 11

a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree​

Answers

Answer:

98 - 24√3 is your answer dear.

Step-by-step explanation:

Let the length of broken part of the tree = 14 - x

For finding x

sin60° = √3/2 = x /14-x

14√3 - √3x = 2x

14√3 = 2x + √3x

14√3 = (2 + √3)x

x = 14√3/(2 + √3)x

after rationalisation

x = 24√3 - 84

substract it 14 - (24√3 - 84)

YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.

PLEASE HELP MY ASSIGNMENT IS DUE IN 3 HOURS!!!!

Answers

Answer:

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

Step-by-step explanation:

since it is a 90-45-45 triangle, both of the legs are equal

Two-thirds of the sum of 4 and k
Words to expressions

Answers

The expression would be:

(2/3)(4 + k)

Answer:

[tex]\frac{2}{3}(4 + k)[/tex]

Step-by-step explanation:

Sum of 4 and k :  4 + k

Two thirds of the sum of 4 and k :

[tex]\frac{2}{3}(4 + k)[/tex]


2x + 5 = 11
Does anyone know this??

Answers

Answer:

Add 5 5 to both sides of the equation. Add 11 11 and 5 5 . Divide each term by 2 and simplify. Divide each term in 2x=16 2 x = 16 by 2 2 .

Step-by-step explanation:

1) Find the volume of the figure below. Round to the tenth place, if
necessary.
11 in.
6 in.
6 in.
Your answer
Can someone help me please

Answers

Answer:

It should be 396

Step-by-step explanation:

11x6=66

66x6 should get u to 396

Of the eight teachers at Jackson Middle School, 4 are female and 4 are male. Four of the teachers will be selected at random to lead a student field trip. What is the probability that all of the teachers selected will be female?

Answers

Answer:

1/16

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Number of event/ Total outcome of sample space

Since there are 8 teachers in a school, the Total outcome = 8

If four of the teachers will be selected at random to lead a student field trip,

Probability of selecting first female teacher = 4/8 = 1/2

Probability of selecting 2nd female teacher = 4/8 = 1/2

Probability of selecting 3rd female teacher = 4/8 = 1/2

Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2

Probability that all of the teachers selected will be female = 1/16

Graph the line that has a slope of 1/2 and includes the point (6,7)

Answers

Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

please help will give branlist

Answers

Answer:

Current price = $2500

price 10 years after today = $3665.18

Step-by-step explanation:

[tex] p(t) = 2500(1.039)^t[/tex]

For the current price, t = 0

[tex] p(0) = 2500(1.039)^0\\\\

p(0) = 2500\times 1\\\\

p(0) = $2500\\

[/tex]

For price 10 years after today, t = 10

[tex] p(10) = 2500(1.039)^{10}\\\\

p(10) = 2500\times 1.46607259475\\\\

p(10) = $3665.18148689\\\\

p(10) = $3665.18\\

[/tex]

Graph the line 3y - 2x = 3 on the axes provided. Determine and state the slope and the
y-intercept of each line. Graph the line y=5. State the coordinate of the intersection.

Answers

Answer:

You can find the answer in the graph below.

Step-by-step explanation:

3y - 2x = 3

x- int = (-1.5,0)

y-int = (0,1)

slope = 2/3x

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

y=5 and 3y - 2x = 3  intersection is on (6,5)

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

y=5 : y-int : (0,5)

The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

The equation of the line is 3y-2x=3.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The slope intercept form of the given equation is

3y=2x+3

y=2/3 x+1

Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).

The graph of the line y=5, is attached below.

From the graph, the coordinate of the intersection is (6, 5).

Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

To learn more about the y-intercept visit:

brainly.com/question/14180189.

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HELPP

geometry 60° 48°

Answers

Answer: 110

Step-by-step explanation:

Why can't you have a shoe size of 4.5 and a height of 72 inches?

Answers

Answer:

Ok, lemme say something.

4.5 shoes are for 9 inch feet.

Dont think a 6 foot person is gonna fit tbh.

Step-by-step explanation:

A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.

4.5 shoes are for 9 inch feet

1 foot = 12 inches.

12 > 9.

12-9=3.

W^2=17 Solve the equation.

Answers

Answer:

w = ±√17

Step-by-step explanation:

W^2=17 Solve the equation.

w² = 17

w = ±√17

Answer:

w = √17 (or) 4.12

Step-by-step explanation:

Given that,

→ w² = 17

Then the value of w is,

→ w² = 17

→ w = √17

→ [ w = 4.12 ]

Hence, the value is √17.

uestion to Answer:
1. What can you say about the value of a polynomial
when P(a)=0

Answers

Answer:

The expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Step-by-step explanation:

The question would be better answered if you gave option. Since there is no option, I'll answer the question generally.

Given

[tex]P(a) = 0[/tex]

The above expression indicates that when polynomial P(x) is divided by divisor x - a, the remainder of the division is 0

Take for instance, the polynomial is:

[tex]P(x) = x^2 - x - 2[/tex]

And the divisor is x - 2, then P(2) = 0 because (x - 2) is a divisor of the equation.

[tex]\frac{P(x)}{x} =\frac{x^2 - x - 2}{x - 2}[/tex]

Factorize the numerator

[tex]\frac{P(x)}{x} =\frac{(x- 2)(x + 1)}{x - 2}[/tex]

[tex]\frac{P(x)}{x} =x + 1}[/tex]

See that x - 2 is a divisor

To check

Set x - 2 to 0

[tex]x -2 = 0[/tex]

[tex]x = 2[/tex]

So, we have:

[tex]P(x) = x^2 - x - 2[/tex]

[tex]P(2) = 2^2 - 2 - 2[/tex]

[tex]P(2) = 4 - 2 - 2[/tex]

[tex]P(2) = 0[/tex]

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


A scientist records the motion of a dolphin as it jumps from the water. The function`h\left(t\right)=-8t^{2}+32t` models the dolphin’s height in feet above the water after t seconds. Show all work and explain your answers clearly. Use complete sentences.


What is the dolphin's maximum height?

Answers

Answer:

96

Step-by-step explanation:

you have to find the answer to 8t by the power of 2 multiplied witch is 64 + 32t = 96

What does the x equal ?

Answers

Answer:

80

Step-by-step explanation:

The answer is x=80 degrees

Brianna’s family bought 7 tickets to an amusement park for $202. If Adult tickets were $34 and youth tickets were $22, how many adult tickets and how many youth tickets did her family buy?

Answers

Answer:

4 adults tickets and 3 youth

Step-by-step explanation:

Trust me bro

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