Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?

Answers

Answer 1

Step-by-step explanation:

Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.

The total no of cabinets are 100

Equation will be : x+y = 110

We can write it as : y = 110-x ...(1)

Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.

Equation will be : y = 2x + 20 ...(2)

Put the value of y from equation (1) into equation (2).

110-x = 2x + 20

Combining like terms,

110-20 = 2x+x

90 = 3x

x = 30

Put the value of x in equation (1) :

y = 110-30

y = 80

Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.


Related Questions

I WILL GIVE 25 points if you will solve exercise number 22, and i will give the brainliest to the person who will explain the best!!!

Answers

9514 1404 393

Answer:

  C)  78,200

Step-by-step explanation:

If p represents the population in 2010, then the population in 2012 is ...

  p + 0.30p = 1.30p

and the population in 2014 is ...

  (1.30p) + 0.20(1.30p) = (1.30p)(1.20) = 1.56p

This is the same population as in 2015, so we have ...

  1.56p = 122,000

  p = 122,000/1.56 ≈ 78,200 . . . . rounded to hundreds

In 2010, the population of Maple Mall was about 78,200.

$12597.12
EXERCISE
1. Calculate the compound interest on investing $600 for 2 years at 7% per
annu.​

Answers

Answer:

$686.94

Step-by-Step Explanation-

FORMULA ~ A= P(1+r)^n

A= 600(1+0.07)^2

A=600(1.07)^2

A=600( 1.1449)

A= $686.94

So, ya that's the ans

1. the smallest composite number is _________

Answers

Answer:

hey dear the smallest composite number is 4

A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68

If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.

Answers

Answer:

$30.38

Step-by-step explanation:

Final Price = Original Price - Discount

Final Price = 75 - 41.25

Final Price = $33.75

Then its the additional 10%

So now you make your original cost $33.75 to make it easier so

Final Price = Original Price - Discount

Final Price = 33.75 - 3.375

Final Price = $30.38

Final Answer: $30.38

The final price Kelly will pay round to the nearest cent is $30 38¢

What is percent?

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Discount = 55%

Additional discount = 10%

Original Price of Blue Sandals = $75

Original Price of Tan Sandals =  $68

Since Kelly bought blue sandels,

So, discount on Blue Sandals = 55% of $75

discount on Blue Sandals = 0.55 * $75 = $41.25

So, Cost of Blue Sandals = $75 - $41.25

⇒ Cost of Blue Sandals = $33.75

Now there is additional discount of 10%

Additional discount = 10% of $33.75

Additional discount = 0.10% * $33.75

Additional discount = $3.375

Thus, Final Cost of Blue Sandals = $33.75 - $3.375

⇒ Final Cost of Blue Sandals = $30.375

Round to the nearest cent final cost of Blue Sandals = $30 38¢

Thus, the final price Kelly will pay round to the nearest cent is $30 38¢

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HELP!!! NEED ASAP!!!! WILL MARK BRAINLIST!!!

Answers

Answer:

2^-15

Step-by-step explanation:

I WILL GIVE BRAINLIEST IF CORRECT!!!!!!!!
Mrs. Kunannan checked her class rosters at the beginning of the year. The ratio of girls to boys in her class is 3 to 7. If she has 50 total students in her class, how many students are boys?

Answers

Answer:

35

Step-by-step explanation:

The quadrilateral is a parallelogram. Find the measure of angles 1, 2 and 3

Answers

Answer:

im pretty sure every angle is 80 degrees

Step-by-step explanation:

this is my first day in brainly, so im soo sorry if im wrong

525 people visited the mall today and 68% of these people made a purchase. How many people made a purchase?
Group of answer choices

Answers

357 people made a purchase

The number of people made a purchase: 357

What is the percentage?

A number can be expressed as a fraction of 100 using a percentage. It is frequently used, particularly in financial and statistical contexts, to depict ratios and proportions in a more practical and intelligible way. For instance, 50% denotes 50 out of 100, or half of a specified amount. It is represented by the letter "%".

To find out how many people made a purchase, we need to multiply the total number of visitors by the percentage of visitors who made a purchase.

Number of people who made a purchase = Total number of visitors × Percentage of visitors who made a purchase.

Percentage can be converted to a decimal by dividing by 100.

Number of people who made a purchase = 525 × (68/100)

Number of people who made a purchase = 357

Therefore, 357 people made a purchase.

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First one
11
12
23
1

Second one
11
12
23
1

Answers

Answer:

Step-by-step explanation:

AD is 11 and BC is 12. We know this because AD and BC are parallel, as well as AB and DC. This means all the right triangles are congruent. I hope you understand. Let me know if you need more explanation! Please mark brainliest if correct, too.

How do I find the correct slope on a graph?

Answers

Answer:

To find the slope of a line from a graph, first choose 2 points along the line and write down the X and Y coordinates for each. Next, find the rise by taking the difference between the 2 Y coordinates. If the line slopes up as it moves to the right, the rise will be positive. If it slopes down, the rise will be negative.

Step-by-step explanation:

M=rise/run or y2-y1/x2-x1

I would also use this site called desmos it’s a graphing calculator and it should help if you have multiple choice questions or just need to see a clearer picture

how many times does 90 go into 490

Answers

Answer:

may be 5 times is answer but I am not sure I have done 5 times I got like this

A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60​

Answers

43 * 0.20 = 8.6 dollars off
43 - 8.6 = 34.40
Solution: $34.40

Answer:

34.40

Step-by-step explanation:

43×0.2 = 8.60

43-8.60= 34.40

SOLVE THESE EQUATIONS FOR 71 points

Answers

Answer: 32 first 12 second 16 last Yw!

Step-by-step explanation:

What is the inequality of the graph?

Answers

I believe it is 4 if not 4/1

Solve by substitution. 2x+5y = 13
3x = 7 +5y

will give brainliest

Answers

Answer:

(4.1) Equation Form: x = 4 , y = 1

Answer: (4,1)

Step-by-step explanation:

Which phrase best describes the translation from the graph y = 2x^2 to the graph of y= 2x^2 + 5?
O5 units up
O5 units down
O 5units right
O5 units left

Answers

Answer:

05 units up and down

Step-by-step explanation:

hope this hepled luv!

The phrase that best describes the translation from the graph y = 2x^2 to the graph of y = 2x^2 + 5 is "5 units up".

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Adding a constant term to a function vertically shifts its graph up or down, depending on the sign of the constant.

In this case, the constant term is positive (+5), which means that the graph of y = 2x² + 5 is shifted upward by 5 units compared to the graph of y = 2x².

Therefore, the correct phrase is "5 units up".

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Am not sure what this answer is

Answers

Answer:

100 pieces

Step-by-step explanation:

11/220 = 5/x

1100=11x

x=100

the correct answer would be D/ 100 pieces

What is the slope of the line 4x – 2y = 5? 4 O-2 2

Answers

Answer:

The slope of the given line (4x-2y=5) is2

Step-by-step explanation:

slope (m)=-a/b

= -4/-2

=2#

Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?

Answers

Answer: No. The two frames does not have the same ratio of white shells to orange shells.

Step-by-step explanation:

Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:

9/15 = 3/5

The ratio is 3:5

Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:

= 8/10 = 4/5

The ratio will be 4:5.

Therefore, the two frames does not have the same ratio of white shells to orange shells.

The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the change in temperature.

Answers

Answer:

Expression: 2 - (-15)

17 degree change in temperature

Step-by-step explanation:

2 - (-15)

2 + 15

17

Ana tiene ahorrados 30 €. Un fin de semana sale al cine con unos amigos y se gasta 7 €, le compra un regalo que le cuesta 12 € a una amiga y paga el billete de tren, que le supone 3 €. Si al llegar a casa su padre le da sus 15 € semanales, ¿cuánto le queda finalmente? (Plantear la solución como una única operación con enteros).

Answers

Answer:

A Ana le queda 23 €.

Step-by-step explanation:

La mejor estrategia para la resolución de este problema consiste en leer paso a paso y traducirlo en una serie de sumas y restas. Comenzamos:

1) Ana tiene ahorrados € 30:

[tex]x = 30\,EUR[/tex]

2) Un fin de semana sale al cine con unos amigos y se gasta € 7:

[tex]x = 30\,EUR-7\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

3) Le compra un regalo que le cuesta € 12 a una amiga y paga el billete de tren, que le supone € 3:

[tex]x = 23\,EUR-12\,EUR-3\,EUR[/tex]

[tex]x = 8\,EUR[/tex]

4) Si al llegar a casa su padre le da sus € 15 semanales:

[tex]x = 8\,EUR + 15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

Si lo definimos como única operación con enteros, tenemos que:

[tex]x = 30\,EUR-7\,EUR-12\,EUR-3\,EUR+15\,EUR[/tex]

[tex]x = 23\,EUR[/tex]

A Ana le queda 23 €.

What Ps the value
of (100)^o​

Answers

Answer:

(100)^0=1

Step-by-step explanation:

This follows the laws of indices

Simplify. Express your answer using positive exponents.
k5
k

7

Answers

Exponents are by the equivalent of each simplifying number by 2

Which statement is true for the following graph:
4
3
O
3
-2
3
4
-51
F
The domain is all real numbers
G
The domain is all real numbers between -3 and 4
H
The range is all real numbers
J
The range is all real numbers between -3 and 4

Answers

9514 1404 393

Answer:

  H  the range is all real numbers

Step-by-step explanation:

The arrows on the ends of the curve mean the curve extends to infinity. Then the domain (x-extent) is -3 to infinity.

The range (y-extent) is -infinity to infinity, all real numbers.

The appropriate description is ...

  H  The range is all real numbers

can someone please help me answer this? im struggling!! i will mark brainliest and rate 5 stars!!

Answers

Answer:

3.5 scale factor

Step-by-step explanation:

if you multiply any number from triangle RST by 3 you get they answer of the other triangle.

The circumference of a circle is 64π. What is the radius of the circle?

A. 32
B. 64
C. 80
D. 128

Answers

Answer:

A.32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

the formula for circumference is 2πr. Using math we get r as 32

A man has 20.24$. He bought a thing for 4.49$. He also bought another thing for 3.99$. Will the money be enough to buy another item that costs 9.99$. If yes, how much money will remain?

Answers

Answer:

Yes: $1.77

Step-by-step explanation:

20.24 - 4.49 = 15.75

15.75 - 3.99 = 11.76

Yes, there will be enough for the 9.99 thing

11.76 - 9.99 = 1.77

The man will have 1.77 at the end.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Marcy purchases a total of 12 adult, child, and senior tickets for an art museum tour. Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. If she purchases 4 more child tickets than senior tickets and spends a total of $38, which statement is true?
The solution to this system is no viable because it results in fractional values of tickets.
The solution to this system is viable.
The solution to this system is nonviable because it results in negative values of tickets.
The solution to this system is no viable because it results in fractional values of money.

Answers

Answer:

A: The solution to this system is no viable because it results in fractional values of tickets

Step-by-step explanation:

Let number of adult, child, and senior tickets be x, y and z respectively.

Thus;

x + y + z = 12 - - - (eq 1)

she purchases 4 more child tickets than senior tickets.

Thus, y = z + 4

Thus:

x + (z + 4) + z = 12

x + 2z + 4 = 12

x + 2z = 8 - - - (eq 2)

Also, We are told that Adult tickets are $5 each, child tickets are $2 each, and senior tickets are $4 each. She spends a total of $38,

Thus;

5x + 2(z + 4) + 4z = 38

5x + 2z + 8 + 4z = 38

5x + 6z + 8 = 38

5x + 6z = 38 - 8

5x + 6z = 30

Divide through by 5 to get;

x + (6/5)z = 6 - - - (eq 3)

Subtract eq 2 from eq 1 to get;

2z - (6/5)z = 8 - 6

2z - (6/5)z = 2

Multiply through by 5 to get;

10z - 6z = 10

4z = 10

z = 2½

It's not possible to have a fractional value of a ticket and thus we can say that the solution is not viable.

Select the correct answer. What is the value of this expression if h = 8, j = -1, and k = –12?

Answers

Answer:

the answer is 12 thankyou lorcolantro for wasting our time

Step-by-step explanation:

ya lorcolantro you made me F

The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12 so option (B) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression is

j³k/h⁰

Substituting h = 8, j = -1, and k = –12 into the expression

(-1)³(-12)/(8)⁰ = -1 × (-12)/1 = 12

Hence " The value of the given expression j³k/h⁰ at h = 8, j = -1, and k = –12 will be 12".

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5. - (m+) =
— Чт - 1=34

Answers

Answer:

The objective of this study was to examine the chronic effects on lower-body strength in resistance trained men of performing varying training volumes over 6

Step-by-step explanation:

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