Four basketballs and six baseballs cost $44. Five basketballs and four baseballs costs $48. Determine the cost for one basketball and one baseball.

Answers

Answer 1

Answer:cost for basket ball= $8 and

cost of baseball = $2

Step-by-step explanation:

Step 1

Let the cost of basket ball be represented as x

and cost of  baseball = y          such that

Four basketballs and six baseballs cost $44 will be expressed as

4x+ 6y= 44  --- eqn 1   also

Five basketballs and four baseballs costs $48 will be expressed as

5x+ 4y= 48--- eqn 2

Step 2

Having obtained two expressions we can now sole

4x+ 6y= 44  --- eqn 1

5x+ 4y= 48--- eqn 2

multiplying eqn 1 by 5 and eqn 2 by 4

20x+ 30y =220---- eqn 3

20x+ 16y=192-----eqn 4

subtracting equation 4 from 3   we now have

14y=28

y= 28/14

y=2 = $2

from equation 1

4x+ 6y= 44, putting the value of y=7 to find x

4x+ 6(2)= 44

4x+12= 44

4x= 44-12

4x=32

x= 32/4

x=8=$8

cost for basket ball= $8 and

cost of baseball = $2


Related Questions

20 divided by c write an algebraic expression for the word expression ​

Answers

Step-by-step explanation:

The algebraic expression is

20

----

c

or

20/c

Find x, y, and z. (Round to the nearest tenth if needed.)
12
у
X
N

Answers

Answer:

I'm sorry that your frog is dead, at least now we can fry his legs ~~tasting like chicken ~~~~~~flavor ain't missing

please help again :,)) is it one solution, all solutions, or one
please show your work.

Answers

Answer:

Infinite many solutions

Step-by-step explanation:

If you graph it there is only 1 line

HELP PLZ there are no answer choices plz

Answers

the answer would be 12.5
if this is scale factor .. you have to divide the side by each other
10/4 = 2.5
20/8 = 2.5
which means 5 multiply by 2.5 equals 12.5

Serenity invested $3,100 in an account paying an interest rate of 2.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 12 years?

Answers

Answer:

$4179

Step-by-step explanation:

3,100*.029= 89.9

89.9*12=1,078.80

3,100+1,078.80=4,178.80

4,178.80 rounded to the nearest dollar= 4179

The amount of money in the account after 12 years would be $4,371.

What is Compound interest?

Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.

To calculate the amount of money in the account after 12 years, we need to use the formula for continuously compounded interest, which is:

A = P[tex]e^{rt}[/tex]

where A is the final amount, P is the principal (initial amount invested), r is the annual interest rate, and t is the number of years the money is invested.

In this case, the initial amount invested is $3,100, the annual interest rate is 2.9%, and the number of years is 12.

Plugging these values into the formula, we get:

A = $3,100 × [tex]e^{0.029 \times 12)[/tex]

A = $3,100 × [tex]e^{0.348}[/tex]

A = $3,100 × 1.41

A = $4,371

Therefore, the amount of money in the account after 12 years, to the nearest dollar, would be $4,371.

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Can somebody plz help solve each questions for what it equals correclty thanks so much :3

WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST !!:DD

Answers

25.) m = 32

26.) p = 42

27.) r = 24

28.) x = 45

i need help, may someone help please..

Answers

Answer:

if line p is going through the middle x is equal to 5

Erin is flying a kite. Originally, she holds the string in her hands, about 4 feet above the ground. She lets out 29 feet of string and estimates the height of the kite to be 24 feet above the ground. She then lets out another 60 feet of string. Approximately how high is the kite currently above the ground?

Answers are
65 feet

50 feet

84 feet

70 feet

Which is it

Answers

Answer:

84 maybe

Step-by-step explanation:

Which relation is a function?

{(5, 0), (–8, –5), (–8, 5), (–5, –8)}

{(5, 0), (0, 5), (–5, –5)}

{(5, 0), (0, –8), (5, –5)}

{5, 0, –8, –5}

Answers

The third one is a function
The person on top is correct the third one is a function have a nice day:)

Combine like terms.
y +2+8(y + 8) =
Please i need this for now

Answers

Answer:

9y+66

Step-by-step explanation:

Find the solution of the system of equations -7x-3y=-20 3x+6y=-15

Answers

9514 1404 393

Answer:

  (5, -5)

Step-by-step explanation:

I like a graphing calculator for quickly finding a solution to a system of equations. It shows the solution to be (5, -5).

__

We can add the second equation to 2 times the first to eliminate the y-variable.

  2(-7x -3y) +(3x +6y) = 2(-20) +(-15)

  -11x = -55 . . . . . collect terms

  x = 5 . . . . . . . . . divide by -11

Substituting this value into the second equation, we have ...

  3(5) +6y = -15

  6y = -30 . . . . . . . . subtract 15

  y = -5 . . . . . . . . . . divide by 6

The solution is (x, y) = (5, -5).

Write an equation of a line that passes through the point (1, 2) and is perpendicular to the line y=-1/4x+2​

Answers

Answer:

y = 4x - 2 would be the equation

PLEASE HURRY Question 2(Multiple Choice Worth 1 points)
(07.01 LC)
What is the value of x in the equation -6 + x = -4?
0-10
O
-2
O2
O 10

Answers

2
So it’s third option
All u have to do is

Add 6 to both sides so
-4+ 6 is 2

Thus

X=2

6) A circular window on a boat has a diameter of 24
inches. Approximately how much wall space does the
window take up?
A 38 in?
B 75 in?
C 113 in?
D452 in?

Answers

Answer:

452.448in² options D

Step-by-step explanation:

A circular window on a boat has a diameter of 24

inches. Approximately how much wall space does the

window take up?

A 38 in?

B 75 in?

C 113 in?

D452 in?

Given data

D=24 inches

Radius =d/2= 24/2= 12 inches

Area A

A=πr²

Substitute

A=3.142*12²

A=3.142*144

A=452.448in²

A whole number is written on a piece of paper.
You are given three clues to help you work out the number written on the piece
of paper.
Clue 1: Triple the number is between 18 and 33 inclusive.
Clue 2: The number is a prime number.
Clue 3: The number is not a factor of 99.
Use each of the clues above to refine your search.
Enter the list of numbers obtained after each clue to finally find the number
written on the piece of paper.
[3]

Answers

Answer:

1)6,7,8,9,10,11

2)7,11

3)7

The whole number is 7.

What is whole number?

The group of natural numbers that includes the number 0 is known as whole numbers. The mathematical set of whole numbers is 0 through 9 and is represented by the letter W.

W = {0, 1, 2, 3, 4, …}

To better grasp whole numbers, consider the following information:

Whole numbers make up all natural numbers.There are only full numbers while counting.Zero and all positive integers are whole numbers.Real numbers are all entire numbers.

Given:

Triple the number is between 18 and 33 inclusive.

Then the number can be

3x6 = 18

3 x 7= 21

3 x 8= 24

3 x 9= 27

3 x 10= 30

3 x 11=33

Numbers are 6, 7, 8, 9, 10, 11

2. Number is a prime number

The prime numbers are 7 and 11.

3. Number is not a factor of 99

The number is 7 because 11 is factor of 99.

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please help me someone with this problem

Answers

I would help you but the picture is blurry

What is the solution to
-10 = 5(2x – 4)

Answers

-10=5(2x-4)
-10=10x-20
+20 +20
10=10x
1=x

Answer:

3=x

Step-by-step explanation:

multiply 5 times 2x and 4 which is 10x-20

then you have -10=10x-20

then add 20 to both aides and you'll have

30=10x then divide by 10 to get x alone

and you have

3=x

Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This number represents 60% of the school enrollment. How many students are enrolled?

Answers

Answer:

625 students

Step-by-step explanation:

No more than 15 copies of a newspaper are left in the newspaper rack. Write an inequality to represent this situation.

Answers

Answer:

0≤x≤15

Step-by-step explanation:

Jo sold 132 mugs. One quarter of the mugs were small. The rest were large. How many small mugs did Jo sell? * 1 point

Answers

Answer:

33 small mugs

Step-by-step explanation:

Given:

Total number of mugs sold by Jo = 132

One quarter of the mugs were small. The rest were large.

To find: Number of small mugs sold by Jo

Solution:

Number of small mugs sold by Jo = [tex]\frac{1}{4}[/tex] (Total number of mugs sold by Jo)

Therefore,

Number of small mugs sold by Jo [tex]=\frac{1}{4}(132)=33[/tex]

A quantity with an initial value of 6900 grows exponentially at a rate
of 40% every 8 hours. What is the value of the quantity after 2.75
days, to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

2.75 days * (24 hours)/day = 66 hours

6900(1.40)^(66/8) = 119,765.72

Answer:

110765.72

Step-by-step explanation:

Solve for x 6 = 2( x + 0)

Answers

Answer:

x = 3

Step-by-step explanation:

Answer: x = 3

Step-by-step explanation:

please help asap!!!!!!!!!!!!

Answers

7853.98mm

Step-by-step explanation:

Circumference is pi times diameter so the diameter is 100 millimeters

Diameter is 2 times the radius so the radius is 50 millimeters

Area is pi times the radius squared so the area is about 7853.98 millimeters squared

Answer:

A = 795.77

Step-by-step explanation:

Using the formulas

A=πr2

C=2πr

Solving forA

A=C2

4π=1002

4·π≈795.77472

The winning time for a race are shown in the table.

Which answer describes the average rate of change from year 2 to year 4?

A) the winning time increased by an average of 0.4 second per year from year 2 to year 4.

B) the winning increased by an average of 0.8 second per year from year 2 to year 4.

C) the winning time increased by an average of 0.475 second per year from year 2 to year 4.

D) the winning time increased by an average of 0.267 second per year from year 2 to year 4.

Answers

Answer:

The winning time increased by an average of 0.4 second per year from year 2 to year 4.

Step-by-step explanation:

I just took the quiz

The winning time for a race displayed in the table would be:

A). The winning time increased by an average of 0.4 seconds per year from year 2 to year 4.

Find the increase in winning time:

Given that,

Year                             Winning Time(seconds)

1                                          27.5

2                                         28.4

3                                         28.7

4                                         29.2

5                                         29.44

The total change in the time = (0. + 0.3 + 0.5 + 0.24)/4

= 0.485 seconds

If we round off, it becomes 0.5 seconds.

Therefore, it can be considered that an average of 0.5 seconds changes every year from year 2 to 4.

Thus, option A is the correct answer.

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what’s 3-4/7 equal as a fraction?!

Answers

Answer:

17/7 or 2 3/7

Step-by-step explanation:

3 is the same as 21/7. Subtract 21/7-4/7 to get 17/7.

Hope it helps!

Hey there. Hope you're having a pleasant morning/evening and wherever else in between. The answer of 3-4/7, as far as I can remember, is -1/7.

On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?

Answers

Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]

Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]

Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]

[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]

Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]

The angle of a triangle are in the ratio 3:7:8. Find the angles.​

Answers

Answer:

30°, 70°, 80°

Step-by-step explanation:

Let the measures of the angles be 3x, 7x and 8x.

Since, sum of the measures of all the three angles of a triangle is 180°.

Therefore,.

3x + 7x + 8x = 180°

18x = 180°

x = 180°/18

x = 10°

3x = 3*10° = 30°

7x = 7*10° = 70°

8x = 8*10° = 80°

Thus, the measures of the angles are 30°, 70°, 80°.

A dance club had 160 members. There was a membership increase of 5%. How many new person's joined the club.

Answers

10% would be 16 people, so 5% would be half of that, 8 people. 160+8=168

PLEASEEE HELP MEEEEE EASY 10 POINTSSS

Answers

3x-y+3=0............

Answer:

y = -3x + 3

Hope this helps, thank you !!

Tell me what is the equation for equation 1 and 2

Answers

Answer:

2x+3y=12$

3x+2y=19$

Hope it helps

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