A rectangle is x inches wide and 3y inches long. If the length plus twice the width is 12 inches and the length plus the width is 9 inches, what is the length

Answers

Answer 1

Answer:

6

Step-by-step explanation:

12-2(3)=6

9-(3)=6

Answer 2

The length of the rectangle is 6 inches.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

A rectangle is x inches wide and 3y inches long.

If the length plus twice the width is 12 inches and the length plus the width is 9 inches.

That means,

2x + 3y = 12    {equation 1}

x + 3y = 9      {equation 2}.

To solve the system of equations:

Subtract the equation 2 to equation 1.

x = 3

And y = 2.

Therefore, the length is 6 inches.

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Related Questions

Each order of nachos costs $3.75 at the concession stand and each drink costs $2.25. Which statement is true if Sarah bought three orders of nachos?

A
The product of 3(–2.25) means Sarah has $6.75 less when she bought 3 orders of nachos.

B
The product of 3(2.25) means Sarah has $6.75 more when she bought 3 orders of nachos.

C
The product of 3(–3.75) means Sarah has $11.25 less when she bought 3 orders of nachos.

D
The product of 3(3.75) means Sarah has $11.25 more when she bought 3 orders of nachos.

Answers

Answer:

C i think not so sure bro gl tho

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A sand wedge normally costs $65.00. It is on sale for 20% off the regular price. What is the discount of the sand wedge? A) $15.00 B)$16.25 C) $46.00 D) $52.00

Please..help​

Answers

Answer:

D

Step-by-step explanation:

20% of 65 is 13

65-13=52

I think it’s D 20% of 65 is 13 so if u do the rest it should be D

Coal mines have shafts that can be as much as 7^3 feet deep. About how many feet deep into the Earth's crust are these shafts?

Answers

Answer:

343

Step-by-step explanation:

7 x 7 = 49

49 x 7 = 343

The coal mines is 343 feet deep into the Earth's crust are these shafts.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Coal mines have shafts that can be as much as 7³ feet deep.

We need to find about  how many feet deep into the Earth's crust are these shafts.

From the given it is 7³ feet deep.

So let us find the value of 7³

7×7×7

49×7

Forty nine times of seven

343

Three hundred and forty three.

So the coal mines is 343 feet deep into the Earth's crust are these shafts.

Hence, the coal mines is 343 feet deep into the Earth's crust are these shafts.

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I need help with this question.
Pls help.

Answers

Answer: its model, graph, and scale

Step-by-step explanation:

Answer:

Metric units of measurement differ by powers of 10 - 10, 100, 1,000, and so on. Thus, converting from one metric unit to another is always accomplished by multiplying or dividing your initial measurement by the appropriate power of ten.

Step-by-step explanation:

I need help with my math problem..

Answers

Answer:

5 1/3

Step-by-step explanation:

i did 2/15 x 40 minutes

I believe 5 1/3 hope this can help!

A skydiver falls at a rate of 144 feet in three seconds. How far is he falling each second?

A) 141 ft
B) 432 ft
C) 48 ft
D) 147 ft

Answers

the correct answer is c
The correct answer is C

For lunch with her friend, Kristionna is purchasing several side items that cost a total of $18, plus 2 sandwiches. The total cost of the meal is $32 and is represented by the equation 2x + 18 = 32. How much does each sandwich cost?
A) $14
B) $22
C) $7
D) $28

Answers

Answer:

C

Step-by-step explanation:

thee equation they give us is 2x + 18 = 32. Our goal is to isolate x.

First, subtract 18 from both sides to eliminate it.

2x + 18 = 32 ---> 2x + 18 - 18 = 32 - 18 ----> 2x = 14

Next, separate the 2 from the x by dividing it from both sides:

2x = 14 ----> 2x/2 = 14/2 ----> x = 7

By solving this equation, we find that x, or one sandwich, costs $7.

Its C did my math in a paper........:)

Lucita does the division problem 3.302 ÷ -1.27, and gets -0.026. She doesn't understand this result because she had estimated the answer to be -3. What was Lucita's mistake?
A: Lucita's estimate is too low.
B:The decimal point should be to the left of the 2.
C:The decimal point should be to the left of the 6.
D:Lucita's estimate is too high.
Thank you to those who end up helping, xx

Answers

Lucita does the division problem. My dad told me you divide the biggest number. (3.302) with the little valued number (1.27) She doesn't understand not because (A) her estimate is too low.

So that leaves A eliminated.

It shouldn't be B because, you have to count the numbers to the left of the decimal.

So that leaves B eliminated.

Let's talk about D, Her estimate is too high. But, take a risk. Either choose C or D. Good luck! I really think this would help thanks to my dad's method.

Find the slope of the line that passes through (8, 4) and (5, 2).

(Type your answer in like this: 1/4, for example.)

Answers

Answer:

Slope (m)0.6667Slope-Intercept: y = mx + by = 0.6667x -1.33

Step-by-step explanation:

Charlene has 2 flash drives of the same size that she uses to store pictures and videos. Each drive is holding the same number of GB of data, d. She wants to move everything to a memory card that can hold up to 8 GB

A) Charlene is going to delete 1 GB of data from each flash drive. How can the total amount of data left on the two flash drives be represented as an expression?

B) How can the expression you wrote be used to write an inequality that shows the maximum amount of data each flash drive can have on it in order to have all the data transfer to the 8 GB memory card?

Answers

867-5309

If you are a gunter dont respond to this

Which ordered pair is located on the x-axis?

(0, -5)
(0, -5)

(1, -5)

Answers

Answer:

-5,0

Step-by-step explanation:

Write the power of 10 to multiply the divisor by to make it a whole number. Then, write the equivalent problem and find the quotient.

16.65 divided by 0.37
i need halp wit this and also i brainly keeps deleting meh questions

Answers

Answer:

45

Step-by-step explanation:

The equivalent problem is 16.65×10²/0.37×10² and  the quotient is 45.

What is a quotient?

In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

Given that, 16.65 divided by 0.37.

Now, multiply both numerator and denominator by 10², we get

16.65×10²/0.37×10²

= 1665/37

= 45

Therefore, the quotient is 45.

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9. Evaluate the ceiling function for the given value.
A. f(x) = ⌈x⌉; x = −7.4

B. g(x) = ceiling (x, 0.50);
x = 21.27

Answers

Given:

A. f(x) = ⌈x⌉; x = −7.4

B. g(x) = ceiling (x, 0.50);  x = 21.27

To find:

The values of ceiling function for the given value.

Solution:

A.

We have,

f(x) = ⌈x⌉; x = −7.4

Here, f(x) is a ceiling function, so we need to find the nearest next integer value because if m < x ≤ n, then ⌈x⌉ = n, where m and n are integers.

Now,

f(-7.4) = ⌈-7.4⌉

f(-7.4) = -7

Therefore, the value of f(x) is -7 at x=-7.4.

B.

g(x) = ceiling (x, 0.50);  x = 21.27

Here, g(x) is a ceiling function with 0.50, so we need to find the nearest next multiple of 0.50 because if m < x ≤ n, then ⌈x⌉ = n, where, m and n are multiples of 0.50.

Now,

g(21.27) = ceiling (21.27, 0.50)

g(21.27) = 21.50

Therefore, the value of g(x) is 21.50 at x=21.27.

Please help me on this, it needs to be done quickly. Read the image.

Answers

Answer:

3.07

Step-by-step explanation:

i would choose 3.07 as the answer

Which vertex of the rectangle has the coordinates (-3,4) ASAP

Answers

Answer:

The answer is A.

Step-by-step explanation:

Have a good day/night :)

Answer:

A

Step-by-step explanation:

(-3,4) would be in A of the rectangle because -3 is x and that would be 3 spaces to the left from the (0,0) point and 4 is y and that is 4 spaces up from (0,0)

this is a khan academy question

Answers

The answer is... A because your trynna find the answer and -2 1/2 is different from there first number so you separate them from each other

Hope this helps

Answer:

Its A hope this is correct, please give me brainliest, my dog died today :(

Step-by-step explanation:

At a school carnival, tickets can be purchased to participate in different activities. The table shows the total cost for different numbers of tickets.


What is the constant of proportionality that relates y , the total cost in dollars, to x , the number of tickets purchased?




PLZ I HAVE TO FINISH THIS TEST TODAYYY

Answers

Answer:

4 tickets for $1

Step-by-step explanation:

I just divided 8 with 2.00 and got 4.

The value of the constant of proportionality that relates y, the total cost in dollars, to x, the number of tickets purchased is 1/4.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

At a school carnival, tickets can be purchased to participate in different activities.

The data are shown in the picture.

From the data:

y ∝ x

Removing the proportional sign:

y = kx

Plug x = 8

y = 2

2 = 8k

k = 1/4

Thus, the value of the constant of proportionality that relates y, the total cost in dollars, to x, the number of tickets purchased is 1/4.

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please help. I really need it.

Answers

It’s b and d because when simplified they’re both 25/1

Please help me I will give you the brain thing and extra points (image below) 2/5

Answers

Answer:

The slope is 0

Step-by-step explanation:

here the thing to remember

If you can walk on the line, the slope is 0, if you can’t it’s undefined

Yah it’s 0 just to resure you

When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?

123.4

1234 over 12

123 + 4

1234 over 1480

Answers

Answer:

123 + 4

Step-by-step explanation:

whenever there is a remainder you write something + the remainder

Yolanda has read 10 pages of her novel and reads 0.5 pages each minute. Jasmin has read 15 pages of the same novel and reads 0.25 pages per minute. After how many minutes will Yolanda have read at least the same number of pages as jasmine?

Answers

At 20 pages they will read the same amount

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

10 pages = 20 minutes

15 pages = 15 x 20/10 minutes

15 pages = 30 minutes

The number of minutes at which Yolanda will have read the same number of pages as Jasmine is 30 minutes.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

Yolanda:

0.5 pages = 1 minute

Multiply 10/0.5 on both sides.

10 pages = 10/0.5 x 1 minute

10 pages = 20 minutes

Jasmin:

0.25 page = 1 minute

1 page = 4 minutes

15 pages = 60 minutes

Now,

The time at which Yolanda will read 15 pages

10 pages = 20 minutes

15 pages = 15 x 20/10 minutes

15 pages = 30 minutes

Thus,

The number of minutes at which Yolanda will have read the same number of pages as Jasmine is 30 minutes.

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Which graph represents the solution of the inequality 4−x≥10 ? K SO I KINDA DREW THE NUMBER LINE BUT WHERE YOU SEE THE 1ST ARROW FROM THE RIGHT,THAT'S WHERE IT STARTS! PLZ HELP ME ALSO ALL THE NUMBERS ARE NEGATIVE:)

--← ← ← ← ← ←------------------------------------------- A. starts at 6
10 9 8 7 6 5 4 3 2 1 0

-----------------→ →→→→→→→→→→→- B. starts at 6
10 9 8 7 6 5 4 3 2 1 -0

---←----←---←-------------------------- C. starts at 7
10 9 8 7 6 5 4 3 2 1 -0

--------------→ →→→→→→→→→→→→→-------------------------- C. starts at 7
10 9 8 7 6 5 4 3 2 1 -0

Answers

if i’m not wrong the answer should be c

A fish tank contains 8 neon tetras and 12 guppies. What is the ratio of neon tetras to guppies?
A.1:5
B.2:3
C.3:2
D.2:5

Answers

B: 2;3

Step-by-step explanation:
GCF(greatest common factor) of 8 and 12 = 4
8/4=2 and 12/4=3
The answer is b .
U simplify.
2 into 8 goes 4 times
2 into 4 goes 2 times
2 into 12 goes 6 times
2 into 6 goes 3 times

So the answer is 2:3

Determine how far the vehicle travels in 3 hours. A ferry travels 45 miles every 1 1/2 hours.

Answers

Answer:

Um 90 miles lol

Step-by-step explanation:

90 because 1.5 hours x 2 is 3. So 45x2 is 90 - meaning 90 miles in 3 hours

I really need help with this. don't do this for the points, please.

Answers

Answer:

4 months

Step-by-step explanation:

I first did 45 minus 125 then divided it by 20 because that how much he pays each month. So the answer has to be 4 months.

I am only doing 15 points because I have asked questions and they just take advantage of the points and don't actually answer the question.

Mrs. Jones husband thought he could fix the clogged sink drain. In doing so he lost the drain snake down the pipe and had to call a plumber. Roto-Rooter charged a $50 home visit fee and an hourly rate of $35 an hour.

Write an equation in slope-intercept form to represent the total cost of the plumbers fees.
y represents the total cost and x represents the number of hours.



Write another equation where t represents the total cost and h represents the number of hours.



What does the y-intercept represent in this problem?



What does the slope represent in this problem?




The plumber was at Mrs. Jones house for 4 hours. What is the total cost for the plumbers visits?

Answers

The answer to your question would be y=35x+50

Please help me I will give you the briain thing and extra points. (image below) 10/13

Answers

Answer: B

Step-by-step explanation:

You have to look at the first number behind the decimal. C and D are wrong because the first numbers behind the decimal are zeros which is less than 3 and 1. A is wrong because .04753 is less than .04792

Tonya works 60 hours in 3 weeks. Select ALL the true statements OR YOU WILL FAIL THE GRADE.
A. Tonya works 100 hours in 4 weeks.
B. Tonya works 140 hours in 7 weeks.
C. Tonya works 20 hours a week.
D. Tonya works 5 hours a day, 5 days a week.
E. At this rate, Tonya will work 240 hours in 16 weeks

Answers

Answer: b & c

Step-by-step explanation:

first i found how many hours tonya works in one week which was 20. i got that by dividing 60 by 3. then that set me up for finding the answer to the other problems as well. 60+20=80 so a wouldn’t have worked. 5x5 is 25 and she only worked 20 hours a week. and she would’ve worked 320 hours in 16 weeks, not 240. hope this helps!! :)

Answer:

B and C

Step-by-step explanation:

This problem is pretty simple if you know how to do some multiplication. First, we should figure out how many hours she works per week. You can figure this out by dividing 60 by 3. This gets us 20.

Now that we know how many hours she works each week, we can figure out the rest of the problems.

A is incorrect because 4 x 20 =80.

B is correct because 7 x 20 is 140.

C is correct because we did this problem earlier to solve the others.

D is in correct because 5 x 5 = 25, which does not equal 20.

E is incorrect because 16 x 20 =   320

Sorry if I'm not very good at this, as this is my first time solving someone's question.

1. Find the value of each expression. Show your work.
(a) 1.2^2
(b) 2^3 + 17-3x4
(c) 9^2 divied by 3^3

Answers

Answer:

a) 1.44

b) 13

c) 3

Answer:

a) 1.44

b) 13

c) 3

Step-by-step explanation:

a) 1.2 • 1.2 = 1.44

b) (2 • 2 • 2) + 17 - (3 • 4)

   (8) + 17 - 12

   8 + 5 = 13

c) (9 • 9) ÷ (3 • 3 • 3)

   81 ÷ 27 = 3

Hope this helps!

Find the diameter of a circle with an area of 4π in 2


Please help!

Answers

The diameter would be 4 in. Correct me if im wrong.
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