A sporting goods store sells right-handed baseball gloves and left handed baseball gloves. In 1 month 12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How many of each type of gloves did they sell?

Answers

Answer 1
x = number of right-handed gloves
12 - x = number of left-handed gloves

45x + 52 (12 - x) = 561
distribute
45x + 624 - 52x = 561
combine like terms
-7x + 624 = 561
subtract 624 from both sides
-7x = -63
divide both sides by -7
x = 9 (amount of right handed gloves)

12 - 9 = 3 (amount of left handed gloves)
Answer 2

They sold 3 left handed gloves and 9 right handed gloves.

To solve this problem, we have to write a system of equations.

Data given;

total number of gloves = 12revenue for 12 gloves = $561right handed gloves  (x) = 45left handed gloves (y) = 52

Equations

[tex]x + y = 12...equation (i)\\ 45x + 52y = 561 equation (ii)[/tex]

From equation (i)

[tex]x + y = 12\\ x = 12 - y...equation (iii)[/tex]

Substitute equation (iii) into equation (ii)

[tex]45x + 52y = 561\\ x = 12 - y\\ 45(12- y) + 52y = 561\\ 540 - 45y +52y = 561\\ 540 + 7y = 561\\ 7y = 21\\ y = 3[/tex]

Put y = 3 in equation (i)

[tex]x + y = 12\\ x + 3 = 12\\ x = 9[/tex]

From the calculations above, they sold 9 right handed gloves and 3 left handed gloves

Learn more on system of equations here;

https://brainly.com/question/14323743


Related Questions

What is the arc length of arc CD in the circle below? Circle A is shown with a radius labeled 8 feet and a central angle marked 35 degrees. 3.14 feet 4.88 feet 6.98 feet 11.78 feet

Answers

the complete question in the attached figure

we know that

the length of the circumference (L)=2*pi*r
r=8 ft
so
L=2*pi*8=16*pi ft
the length of arc CD is 35°-------->let's transform the degrees to feet
we apply a rule of three
if 360° -----------------> 16*pi
 35°---------------X
X=35*16*pi/360--------> 4.88 ft

the answer is 4.88 ft
it's the fine letter B

pose a word problem that will match the solution

Answers

5 people wanted to use flour for cooking. Altogether, they had 4kg of flour. They wanted to split the four into 5 equal amounts. How many kg of flour did each person get?

Hope this helps!

graph the line whose x-intercept is -8 and whose y-intercept is 9

Answers

In intercept form, the equation of the line is
.. x/-8 +y/9 = 1

The graph of the line whose y intercept is 8 and whose x intercept is 9 is given below.

What are intercepts?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Given:

An intercept form of the standard line is,

x/a + y/b = 1, where a and b are x-intercept and y-intercept form of the line.

So, the equation is,

x/-8 + y/9 = 1

And the graph is given in the attached image.

Therefore, the graph is given.

To learn more about the intercepts;

https://brainly.com/question/14180189

#SPJ2

Can someone help me!! I’m trying to find equivalent measures! 15!points if you can help!

Answers

1000 mL = 1 L

0.85 L = (0.85 L)*(1000 mL/1 L) = (0.85*1000) mL = 850 mL

So, 0.85 liters is equivalent to 850 milliliters 

morris rarely arrives home before 4:00 p.m. it is now 3:20 p.m. estimate the probability that morris will arrive home in the next 30 minutes

Answers

the answer is 1/60 or one out of 60

Michael’s grandmother made two pies for Thanksgiving, a sweet potato pie and a chocolate pie. Each pie had 8 slices. All of the sweet potato pie and 2 slices of the chocolate pie were eaten. How much pie did Michael’s family eat on Thanksgiving? A) 5 8 pie B) 10 16 pie C) 1 1 4 pies Eliminate D) 1 3 8 pies

Answers

Think it's B or A if they want it simplified.

Patty ordered a pizza to be delivered. The bill was $12.00. Patty pays $15 and tells the delivery person to keep the change as a tip. What percent tip did she give?

Answers

25%
(15-12)/12=1/4....
Since you know Patty gave a tip of $3, it’s pretty easy to understand that 3 is 1/4 of 12.00 (the pizza price), resulting in a tip percentage of 24%

HEEEEEEELPPPP PLSSSSSSSSSSSS

A circle has a radius of 13 inches.

Which equation can be used to find the diameter of this circle?

d=2π(13)
d=12(13)
d=2(13)
d=132

Answers

Diameter equals 2 times radius.

ANSWER: d= 2(13)

Hope this helps! :)

Answer:

d=2(13)

Step-by-step explanation:

How do I graph this ?

Answers

You you put the x section in the x axis and the y section in the y axis. So the straight line going across is the x axis and the line going up and down is the y axis. So for your first and (-5,2) you look for negative 5 on the x axis and 2 on the y axis since the x axis will always go first. Then you would put the dot where the numbers line meet. There’s your answer
Here you go! Hope this helps!!

What are three rational numbers between 0.2 and 0.3 (one must be a fraction)?

Answers

it would be 2/5 but the numbers between is 2/10 and 3/10
The answer will be 0.6 Hopes this helps. :)

If you can buy one can of pineapple chunks for $2 then how many can you buy with $10

Answers

You can buy 5 cans with $10.

(did you see my pun?)

Hope this helps!
You can buy 5 cans with the $10

Which expressions are polynomials? Select each correct answer.
20x2y

20x²

20x² + y

20x2+y12

Answers

Each of these is a polynomial.

A polynomial is the sum or difference of one or more monomials.  A monomial is a variable, a constant, or the product of variables and constants.  Each of these is a monomial, so it is a polynomial as well.

These expressions satisfy the criteria for being polynomials based on their structure and components.

[tex]\( 20x^2y \)[/tex]

[tex]\( 20x^2 \)[/tex]

[tex]\( 20x^2 + y \)[/tex]

Let's analyze each expression:

1. [tex]20x^2y[/tex]

This expression can be rewritten as [tex]\( 20x^2y \).[/tex]

It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]

It involves multiplication and addition (implied by the terms).

Conclusion: This expression is a polynomial.

2. [tex]20x^2[/tex]

This expression can be rewritten as [tex]\( 20x^2 \)[/tex].

It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).

It involves multiplication and addition (implied by the term).

Conclusion: This expression is a polynomial.

3. [tex]20x^2+ y[/tex]

This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]

[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).

[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).

The expression involves addition and multiplication.

Conclusion: This expression is a polynomial.

4. [tex]20x^2+y^{12[/tex]

This expression is not standard notation and appears to be incorrectly formatted:

It lacks clear separation between terms.

It combines numeric digits directly without appropriate variables and exponents.

Conclusion: This expression is not a polynomial.

Need help with 3 and 4.

Answers

A) Problem 3

Answer: third option 11.5

Explanation:

1) Since this is a right triangle you can use the trigonometric ratios.

2) sin (α) = opposite-leg / hypotenuse

3) α = 35°; opposite-lge = x; hypotenuse = 20.

4) substitute values

sin(35°) = x / 20

5) Solve for x

x = 20 * sin (35°) = 11.47

6) Round to the nearest tenth: 11.5

Answer: third option 11.5

B) Problem 4

Answer: first option 8.3

Explanation:

1) Since it is a right triangle you can use trigonometric ratios

2) cos (α) = adjacent - leg / hypotenuse

3) α = 41°; adjacent - leg = x; hypotenuse = 11

4) Substitute values

cos (41°) = x / 11

5) Solve for x: x = 11 * cos (41°) = 8.30

6) Round to the nearest tenth: x = 8.3

Answer: 8.3

Which line is the best model for the data in the scatter plot?

Answers

The line that is the best model for the data is the line that passes mostly through the centre of the data. Therefore, it is most likely the plot in the top right.
Answer:Graph B (according to the figure attached to the answer) best model the data in the scatter plot.Step-by-step explanation:We know that a line of best fit also known as a trend line is the line that best represent the data points.

i.e. the points are closely related to the line.

Also, the other properties of a trend line are--

The magnitude of the negative and positive residual values must be same.

( i.e. Not all point could lie above the line and not all points could lie below the line )

( In graph A most of the points lie below the line.

Hence, Graph A is not the correct answer.

In graph  most of the points lie above the line.

Hence, Graph C could not be the best model.

In graph D most of the points lie above the line and hence it could not be the best model)

whereas in Graph B there are equal number of points above and below the line.

two attendants earn $6240 and $6220 per annum, respectively, exclusive of a bonus of $2640 per annum.
if both have a pension deduction of 20%,the difference in the pension deduction of the two attendants on a semimonthly basis is..........?

Answers

The difference in annual earnings is $6240 -6220 = $20. 20% of that is $4. There are 24 semi-months in a year, so the difference in amount deducted is about
.. $4/24 = $(1/6) ≈ $0.17

If the payroll department is paying attention, the difference in deducted amounts will be $0.16 2/3 over the year. Some paychecks, it will be $0.16, and others it will be $0.17.

Can you tell me how to do this?

Answers

Add up the Like terms, then just do the math. Comment for Any questions

So 5.2x + 2.1x=
8-3=
Then rewrite the equation

George has to pay $30 in taxes for every $100 that he earns .Last summer he earned $3,680. How much did he pay in taxes

Answers

3680:100=36,8
36,8×30=1104 
The taxi was spent $1104

The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh a total of 249 ounces. Which value could replace x in the table?

Answers

Solving the system of linear equations, we found that there are 12 hardcover books and 33 paperback books, making the value that could replace 'x' is 12.

The question involves solving a system of linear equations to find the number of hardcover and paperback versions of a book that together weigh 249 ounces. Since the hardcover version weighs 7 ounces and the paperback weighs 5 ounces, we can create two equations based on the given information. If we let x represent the number of hardcover books and y represent the number of paperback books, the equations would be:

x + y = 45 (since there are 45 copies in total)

7x + 5y = 249 (since the total weight is 249 ounces)

Solving this system, we can multiply the first equation by 5, which gives us 5x + 5y = 225, and subtract this from the second equation to find the value of x. This yields 2x = 24, so x = 12. Therefore, there are 12 hardcover books and the rest are paperbacks. To find the number of paperbacks, we substitute x back into the first equation and get 12 + y = 45, which means y = 33. Hence, the number that could replace x in the table is 12.

A farmer has 112 pecan tree and 97 walnij tree. How many more pecan Teresa does the farmer have than walnij tree? Desrcibe what you would do
I would regroup the tens
I would add 12 + 97
I would subtract 7 ones from 12 ones
Which answer is correct?

Answers

I would subtract 112 from 97 which is 15.
12+97=108 12-6=5 that my correct answer

The graph below shows a line segment PQ:

Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4

What is the slope of the line segment PQ?

−2
−1 over 2
1 over 2
2

Answers

The slope is the difference of y coordinates divided by the difference of x coordinates.
.. (1 -4)/(-2-4) = -3/-6 = 1/2

The 3rd selection is appropriate.

The absolute ______ of 2 is 2.
1.) absolute value
2.)sign
3.)opposite

Answers

The absolute value of 2 is 2
1.) Absolute value

Hope this helps

Can someone help me with this?

Answers

You know the definitions of the trig functions tell you
.. cos(78°) = (5 ft)/?
.. ? = (5 ft)/cos(78°) ≈ 24.0 ft

if you pay $8.50 per square yard of carpeting,what is your total cost for 27.5 square yards?

Answers

your total cost is 233.75 because you do 8.50 times 27.5 
I think the answer is $233.75

Pepper’s dog pen measures 4 meters wide and has an area of 20 square meters. What is the perimeter of the pen in meters?

Answers

18. 4 x 5 = 20(area) so the other 2 sides that are not 4 are 5. 5+5+4+4=18

y-2y8y-6 is equivalent to:

Answers

the answer should be 1

If a + 4b = 33 and 6a + 3b = 51, what is the value of a + b?

(I got 5 but it was wrong)

Answers

b = 7, a = 5. So a + b is 13.

Answer:

12

Step-by-step explanation:

Since the problem asks for $a+b$, we look for a way to isolate $a+b$ from the given equations.

Notice that $a + 6a = 7a$ and $4b + 3b = 7b$. This gives us the key to isolating $a + b$. We simply add the two equations together:\begin{align*}

7a + 7b &= 84 \\

7(a + b) &= 84 \\

a + b &= \frac{84}{7} \\

a + b &= \boxed{12}

\end{align*}

which relation is a function?

Answers

The last one is a function.

A function needs to have continuous data, meaning that all of the points need to be connnected, and it also needs to have no more than 2 x values with each y value.

Hope this helps!

Sally surveyed 20 of her friends to determine their favorite color. Her data shows that 25% said blue, 15% said green, 10% said yellow, and the rest said red.

Which circle graph best represents Sally's data?

Answers

The first circle graph because yellow, blue, and green adds up to 50%, which means red takes up 50% (half of the graph)

Answer:

The circle graph that represents Sally's data in the attahed figure

Step-by-step explanation:

we know that

The color blue represent [tex]25\%[/tex]------> Is a quarter of circle

The color yellow plus the color green represent [tex]10\%+15\%=25\%[/tex] -----> Is a quarter of circle

The color red represent [tex]100\%-50\%=50\%[/tex]------> Is a half circle

therefore

The answer in the attached figure

Give an example of a set of data displayed in a line graph

Answers

Answer:

data displayed in a line graph represents change over time

Step-by-step explanation:

and example could be effects of different soil on the same kind of plant over a week

jerry was playing a video game. it took him 10 lives to beat the 2nd world, 5 times as many as it took him to beat the 1st world. how many lives did he use to the 1st world?

Answers

2nd world = 10 lives
lst world = 5 x 10 = 50 lives

Final answer:

Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.

Explanation:

Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.

Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:

5 * x = 10

Now, we solve for x:

x = 10 / 5

x = 2 lives

Therefore, Jerry used 2 lives to beat the 1st world.

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