At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
A: Write an equation. Let x represent the cost of one of beast boys items.
B: Solve the equation. Show your work
C: Check your solution. Show your work
D: What was the individual cost of each person's items? State the solution in complete sentences.​

Answers

Answer 1

Answer:Bb 12. Cyborg 12

Step-by-step explanation:

Right for my test

Answer 2

The required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.


Given that,
At a bargain store beast boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items beast boy bought. Both beast boy and Cyborg paid the same amount of money.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Let the cost of the item bought by the beast boy is x, and the item bought by the Cyborg be y,
According to the question,
5x = 8y
x = 8/5y  - - - - - - -(1)
y = x - 1.50  - - - - - -(2)
Substitute the value of equation 1 to equation 2
y = 8/5y - 1.50
5y = 8y - 7.50
7.50 = 3y
y = 2.5
Now, put y in equation 1
x = 8 / 5 × 2.5
x = 8 × 0.5
x = 4
Now, the costs,
5x = 4 × 5 = $20
8y = 8 × 2.5 = $20

Thus, the required number of items purchased by the beast boy is 4 and by Cyborg is 2.5.

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Related Questions

What is the decimal number 34.576 written in expanded form?

Answers

Answer:

30+4+0.5+0.07+0.006

Step-by-step explanation:

find the 21st term of the AP 1,3,5,7,

Answers

Answer:

are you Philippines ty points

Answer:

a₂₁ = 41

Step-by-step explanation:

The nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then

a₂₁ = 1 + (20 × 2) = 1 + 40 = 41

Find the midpoint of the segment with the given endpoints.
(-10,- 6) and (-3,7)

Answers

Step-by-step explanation:

in essence, these 2 points are the Hypotenuse of a right-angled triangle. the legs are the coordinate differences between the 2 points creating the 3rd point of that triangle at (-10, 7) : the x coordinate of one point, and the y coordinate of the other.

now, we are looking for the midpoint. this midpoint cuts the original line/hypotenuse in half creating a scaling factor of 1/2.

when we create now a similar triangle based on that "half- Hypotenuse", we need to use the same scaling factor also on the legs (the coordinate differences).

so, when we cut the coordinate differences also in half, we get the coordinates for the midpoint on the main line.

xm, ym are the coordinates of the midpoint.

xm = (x1 + x2)/2 = (-10-3)/2 = -13/2 = -6.5

ym = (y1 + y2)/2 = (-6+7)/2 = 1/2 = 0.5

so, the midpoint is (-6.5, 0.5)

Simplify the expression.
کے قر 125x
poter che correct answer.

Answers

Answer:

yz√5xy

Step-by-step explanation:

hope this helps

How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequalities is reversed to y < 2x + Two-thirds and
y > 2x + One-third?

Answers

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

Sample Respone from Edge

Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions.

Step-by-step explanation:

It's the sample response :)

4. 3/16. × 7 12/32.

Answers

Answer:

1 49/128

Step-by-step explanation:

3/16. × 7 12/32

3/16  * 236/32

177/128

1 49/128

Point E is 5 units to the right of point A, point D is 4 units down and 1 unit to the right of point E, point C is 2 units down and 1 unit to the left of point D, point B is 5 units to the left of point C, and point A is 6 units above point B. A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.

Answers

Answer:

There are three answers

Step-by-step explanation:

B is the image of D

B is the image of E

C is the image of D

Answer:

B is the image of D

B is the image of E

C is the image of D

Step-by-step explanation:

Solve for b.

Help pls thank u !!!!

Answers

Step-by-step explanation:

3b - 3.76 = 1.34

3b = 3.76+ 1.34

3b = 5.1

b= 5.1/3

= 1.7

Help Math HW due at 11:59 PM! What is -18=7y+6?

Answers

Answer:

y=3.4

Step by-step explanation:

-18=y+6

        -6

-24=7y

-24/7=7/7y

y=3.428571

Answer:

y=-4

Step-by-step explanation:

-18=7y+6

-24=7y

y=-24/7(3.428571429)

Check all solutions to the equation. If there are no solutions, check 'None."
x2=-4

Answers

Answer:

-2 is the only answer

Step-by-step explanation:

You know the answer can't be a positive number because a positive multiplied by a positive is a positive number. It is not 0 because 0 X anything is 0. -16 x 16 is way to high. But, -2 x 2 = -4

There are no real solutions

Option F is correct.

What is an imaginary number?

An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.

Given equation

[tex]x^{2} =-4[/tex]

Apply square root on both sides of the equation

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

[tex]x=2i[/tex]

2i is imaginary number.

There are no real solutions

Hence, Option F is correct.

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A $1.200 television is on sale for 30% off. what will be the total price of the television?

Answers

Answer:

the total price of the TV is $840.

Step-by-step explanation:

100% - 30% = 70%

I'm guessing you meant 1,200 not 1.20 (lol) so I'm just going to go with that.

1,200 * 0.70 = 840

Therefore the total price of the TV is $840.

Please mark brainliest and have a nice day!

Factorise 3a2 (squared) - 7a

What’s the answer?
Don’t use the calculator.

Answers

Step-by-step explanation:

[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]

i do not get this so please explain what it means

Answers

Answer:

Huh?

Step-by-step explanation:

I do not see anything.

hannah and mallory are selling boxes of cookies for a school fundraiser. each box costs the same amount. hannah sells 14 boxes. mallory sells 22 boxes. mallory's neighbor makes a $6 donation without buying any cookies. together, hannah and mallory raise $141. write ans solve an equation to find out how much each box of cookies costs. how much does hannah raise? how much does mallory raise?

Answers

The cost per box of cookies is $3.75

The total amount Hannah raised from the sales of cookies is $52.50

The total amount Mallory raised from the sales of cookies and donations is $88.50

In order to determine the cost per box of cookies, take the following steps:

The first step is to determine the total sum of the boxes sold by Hannah and Mallory

Sum of the boxes sold = 14 + 22 = 36 boxes

36 boxes were sold by Hannah and Mallory

The second step is to determine the total cost of the 36 boxes sold.

Total cost of 36 boxes = total amount raised - donation

$141 - $6 = $135

The third step is to determine the total cost of each box

cost of one box = total cost of 36 boxes / total number of boxes

135 / 36 = $3.75

The total amount Hannah raised = cost per box x number of boxes she sold

14 x $3.75 = $52.50

The total amount Mallory raised = amount raised from the sale of cookies + donation

amount raised from sales = cost per box x number of boxes she sold

22 x $3.75 = $82.50

Total amount = $82.50 + $6 = $88.50

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What is the slope of the line that passes through the points (-4, 0) (-4, -10)

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

If the x value stay the same between a set of points, the slope of the line will be undefined.

Plz help really appreciate it, if could plz step out so i can understand if not its ok but help. ​

Answers

a. True.

b. False. Only the sum of the exterior angles is 360°.

c. True.

d. True.

An object is moving at a speed of 6 inches every 4.5 days. express this speed in yards per year

Answers

Answer:

365/27 yards per year

Step-by-step explanation:

[tex]\frac{6 inches}{4.5 days}[/tex] × [tex]\frac{1 yard}{36 inches}[/tex] ×[tex]\frac{365 days}{1 year}[/tex] = [tex]\frac{(6(365)) yards}{(4.5(36)) year}[/tex] = [tex]\frac{2190 yards}{162 years}[/tex]= 365/27 yards per year

What's the domain of this function graph

Answers

Answer:

D) [0, ~)

Step-by-step explanation:

Domain of a Function:

the domain of a function is the set of values of x, the independent variable, that are responsible for the graph of the function.

For Example:

suppose, we have a function:

f(x) = 3x - 1

and it's domain is {1, 2, 3}

that means, the corresponding value of f(x) to these 3 values of x will be DEFINED, I.e., they exist and can be plotted on a graph.

The given function:

Therefore, for the given function, it's domain will be those values of x(the ones plotted on the horizontal line), that give some value to the function ,i.e., for which we can draw it's graph.

and since the graph starts from x = 0 and continues towards infiinity

(the arrow on the curve shows that the graph continues and hasn't yet come to a stop.)

So, that way we got [0, ~). ^^

Which of the following ordered pairs make this equation true?

Y=x-1

A) (3,2)

B) (1,4)

C) (4,5)

D) (0,1)

Answers

Answer: A

Step-by-step explanation:

Replace x by 3, and y by 2

Answer:

A. (3, 2)

Step-by-step explanation:

x = 3 , y = 2

• Y= x - 1

• 2 = 3-1

• 2 = 2

can someone help me with this quickly please

Answers

Plug in -3 for f(x) into the first equation.

-3 = x^2 - 5x + 3

x^2 - 5x + 6 = 0

Factor!

(x - 3)(x - 2) = 0

Set each binomial equal to 0 to get the x-value of the point.

x = 3

x = 2

Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.

(3)^2 - 5(3) + 3

9 - 15 + 3

-6 + 3

-3

(2)^2 - 5(2) + 3

4 - 10 + 3

-6 + 3

-3

Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)

Hope this helps!! :)

2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)

Answers

Answer: (7,5)

Explanation:
4 + 3 = 7 (x value)
0 + 5 = 5 (y value)

The coordinates of the image point will be P''(7, 5).

What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right

Given is to translate P(4, 0) right by 3 units and up by 5 units.

Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)

Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)

Therefore, the coordinates of the image point will be P''(7, 5).

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The correlation coefficient for the costs and sizes of storage container is 0.55. How
are the costs and sizes of the containers related?

Answers

Answer:

There is a positive correlation between both variables.

Step-by-step explanation: That is to say, the relation between the cost and the size of the storage containers is growing.

As the size of the container increases the cost also increases.

The closer the correlation coefficient is to 1, the stronger is the positive relationship between the variables, in this case r = 0.52, so it could be concluded that the relationship between the variables is a medium positive correlation

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another.

The costs and sizes of the containers are moderately correlated.

What is a correlation coefficient?

A correlation coefficient is a statistical measure of the degree to which changes to the value of one variable predict changes to the value of another.

We have,

The correlation coefficient for the costs and sizes of the storage container is 0.55.

We know that,

Correlation coefficients whose magnitude is between 0.5 and 0.7 indicate that the variables are moderately correlated.

Correlation coefficients whose magnitude is between 0.3 and 0.5 indicate that the variables are a low correlation.

Since the correlation coefficient for the costs and sizes of the storage container is 0.55, it is between 0.5 and 0.7.
So it is moderately correlated.

Thus the costs and sizes of the containers are moderately correlated.

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Dan removed 16 fish from his pond over a period of 2 days . He romoved the same number of fish each day .What was the change inn the number of fish in the pond each day?

Answers

Answer:

8

Step-by-step explanation:

8 ?

2x8 =16

16/2=8
The change would be 8 fish take out of the pond each day

what is 5.6 less than 25.3

Answers

Answer:

19.7

Step-by-step explanation:

translate to a mathematical equation:
Two times a number less than four is twenty-eight

Answers

2 x n = 28 - 4 :))) i pretty sure

(4x^ 2 y^ 3 ).(2xy^ 4 )=

Answers

4x^2 y^3 × 2xy^4 =

4 × 2 × x^2 × x^1 × y^3 × y^4 =

8 × x^(2 + 1) × y^(3 + 4) =

8 × x^3 × y^7 =

8x^3 y^7

ANS

step 1- Equation at the end of step

step 2- Equation at the end of step

step 3- simplify

[tex] \\ \frac{ {2}^{2} {x}^{2} {y}^{3} }{ {2xy}^{4} } [/tex]

step 4- Dividing exponential expressions

[tex]\: {x}^{2} divided \: by \: {x}^{1} = {x}^{(2 - 1)} = {x}^{1} = x[/tex]

step 5- Dividing exponential expressions

[tex]\: \: {y}^{3} divided \: by \: {y}^{4} = {y}^{(3 - 4)} = {y}^{ - 1} = \frac{1}{ {y}^{1} } = \frac{1}{y} [/tex]

step 6- Dividing exponents

[tex] \: {2}^{2} divided \: by \: {2}^{1} = {2}^{(2 - 1)} = {2}^{1} = 2[/tex]

Final result

[tex] \\ \frac{2x}{y} [/tex]

Thank You !!!

Use the formula below to find the 25th term in the geometric sequence.
an= (-3)2^n-1
A. -100,663,296
B. -50,331,648
C. -25,165,824
D. 50,331,648

Answers

Answer:

B.

Step-by-step explanation:

To solve, substitute 25 in for x:

[tex]a_{x} = (-3)2^x^-^1[/tex]

[tex]a_{x} = (-3)2^2^5^-^1[/tex]

[tex]a_{x} = (-3)2^2^4[/tex]

[tex]a_{x} = (-3)(16777216)[/tex]

[tex]a_{x} = -50331648[/tex]

How to find the rational zeros of a function

Answers

Answer:

Step-by-step explanation:

Find the zeroes of the function f ( x ) = x 2 + 12 x + 32

First, because it's a polynomial, factor it f ( x ) = ( x + 8 ) ( x + 4 )

Then, set it equal to zero 0 = ( x + 8 ) ( x + 4 )

Set each factor equal to zero and the answer is x = − 8 and x = − 4 .

Mikes grandma opened a savings account in mikes name. And deposited. Some money into the account the account pays on annual simple interest rate of 5% after 8 years the interest earned on the account was 3,200 how much money did mikes grandma deposit in the account

Answers

Answer: 2285.71

Step-by-step explanation:

Rearranging the simple interest formula, we have P = A / (1 + rt), where P is the Principal, r is the annaul rate and t is the time period.

r = R/100 = 5%/100 = 0.05 per year.

Solving the equation:

P = 3200 / ( 1 + (0.05 × 8)) = 2285.7142857143

Answer:

Grandma deposited 8,000

Step-by-step explanation:

I = 3200

r = 5 %

t = 8 years

[tex]P =\dfrac{I*100}{r*t}\\\\P = \dfrac{3200*100}{8*5}\\\\P= 8000[/tex]

When I multiply, $23.84 x $0.47 I got $11.2048 so what is that 49? What do I do with it? Also is my decimal placing right?

Answers

Answer:

Hi, the answer would be $11.21 after rounding.

Step-by-step explanation:

I see what you mean about the 49, but remember that when writing a price you only have two spots after the decimal. Yes, your decimal placing is correct!

So, after rounding and multiplying correctly you would get about $11.21

Hope this helps!!

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