URGENT!! PLEASE ANSWER!
After completing the wood trim on her kitchen​ cabinets, Candice has 38 inches of trim left. She decides to make a picture frame out of the wood. She wants to make the frame so that the length is 5 inches less than three times the width. What must the dimensions​ be?

Answers

Answer 1

Answer:

The dimensions of the frame must be 13 inches and 6 inches

Step-by-step explanation:

* Lets explain how to solve the problem

- The perimeter of any quadrilateral is the sum of the lengths of its sides

- The rectangle is a quadrilateral with each two opposite sides are

 equal so the perimeter of the rectangle = 2l + 2w, l and w are the

 length and the width of it

- Candice has 38 inches of trim

- She wants to make a picture frame

- The frame is shaped a rectangle where its length is 5 inches less

  than three times the width

- Assume that the length is l and the width is w are the dimensions

 of the frame

l = 3w -5 ⇒ (1)

∵ The perimeter of the frame is the length of trim

∵ The length of the trim is 38 inches

∴ The perimeter of the frame is 38 inches

∵ Perimeter of the frame = 2l + 2w

2l + 2w = 38 ⇒ (2)

- Substitute equation (1) in equation (2)

∴ 2(3w - 5) + 2w = 38

- Multiply the bracket by 2 and add like terms

∴ 6w - 10 + 2w = 38

∴ 8w - 10 = 38

- Add 10 for both sides

∴ 8w = 48

- divide both sides by 8

w = 6

- Substitute the value of w in equation (1) to find l

∵ l = 3w - 5

∴ l = 3(6) - 5 = 18 - 5 = 13

l = 13

∵ l and w represent the length and the width of the frame

The dimensions of the frame must be 13 inches and 6 inches


Related Questions

(3×7)+5=26 write a situation for this equation​

Answers

Answer:

Tom is at the grocery store and is buying 3 treats. Each treat costs him 7 dollars. He is also purchasing a drink for 5 dollars. What is the total amount he is spending?

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 20 minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total 24 minutes. What equation can you use to find the distance of the flowerbed from the hive?

Answers

Answer:

the answer is 0.5

Step-by-step explanation:

Max scored 6 marks more than what he did in the previous
examination in which he scored 30. Maria scored 30 marks more
than she did in the previous examination in which she scored 60.
Who showed less improvement?


Answers

Answer:

max showed less improvement!

Step-by-step explanation:

Max percentage improvement in the first exam = (6/30 × 100) %

= (600/30) %

= 20 %

Maria percentage improvement in the first exam = (30/60 × 100) %

= (3000/60) %

= 50 %

Hence, 20 % < 50 %

Final answer:

Max improved by 6 marks from his previous score, while Maria improved by 30 marks. Therefore, Max showed less improvement than Maria.

Explanation:

Max scored 6 marks higher than his previous score of 30, making his new score 36. Maria scored 30 marks more than her previous score of 60, taking her new score to 90. To determine who showed less improvement, we compare the amount of increase in their scores.

Max's improvement: 30 + 6 = 36

Maria's improvement: 60 + 30 = 90

Max improved by 6 marks, and Maria improved by 30 marks. Therefore, Max showed less improvement.

When comparing improvement, it's useful to look at the actual increase in marks gained, not necessarily the percentage improvement unless specifically asked. Here, the simple comparison of the additional marks scored determines who improved less. Though both students improved their scores, the difference in their points increased is a clear indicator of whose improvement was less significant.

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?

Answers

Answer:

a. $500

b. $250

Step-by-step explanation:

a. For zero items produced, cost will be-

[tex]C(0) = 10(0) + 500 = 0 + 500 = 500[/tex]

b. For zero items produced, cost will be-

[tex]C(25) = 10(25) + 500 = 250 + 500 = 750[/tex]

c. If [tex]C(x)_{max} = 1500[/tex]

[tex]10x + 500 = 1500\\10x = 1000\\x = 100[/tex]

∴ domain for cost function will be [tex][0,100][/tex] and range will be 100

Answer: A) fixed cost is $500

B) Cost of making 25 items is $750

C) Domain: [0,100]

Range :[500,1500]

I got 100% on test with these answers

15- [(3^2+ 6) ÷5=12
my teacher told me it was 12 but idk how to do it idk the strategy
4×[50-3(1+3)^2]= 8
idk the strategy pls help ?? plzzzz​

Answers

Answer:

The strategy to evaluate these expressions is called PEMDAS.

Step-by-step explanation:

Problem #1

[tex]15-[(3^2+6)\div5][/tex]

We're going to be following the rule of PEMDAS:

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Keep in mind that multiplication/division and addition/subtraction are done from left to right.

In the first expression (written above), we'll first evaluate everything inside the brackets first (brackets are used when there are parentheses inside of it - but they serve the same function). There are parentheses in these brackets, so that will be the absolute first step in evaluating.

Solve for [tex]3^2+6[/tex] then rewrite the expression.

[tex]15-[(15)\div5][/tex]

Now finish evaluating inside the parentheses by dividing 15 by 5.

[tex]15-[3][/tex]

The last step to evaluate the expression is to subtract 3 from 15.

12Problem #2

[tex]4\times[50-3(1+3)^2][/tex]

Evaluate everything inside the the brackets. Start with the parentheses since that is first according to PEMDAS. Add 1 and 3 together then rewrite the expression.

[tex]4\times[50-3(4)^2][/tex]

Exponents are solved next after parentheses in PEMDAS, so evaluate the exponent.

[tex]4\times[50-3(16)][/tex]

Multiplication is done before subtraction, so multiply 3 and 16 together.

[tex]4\times[50-(48)][/tex]

Finish evaluating inside the brackets by subtracting 48 from 50.

[tex]4\times[2][/tex]

The last step in evaluating the second expression is to multiply 4 and 2 together, which gives us 8.

8

A sample of ore is found to be 0.0042% gold and 0.049% diamond. What is the percentage of matter in the ore that is neither gold nor diamond?

Answers

Answer:

0.007%

Step-by-step explanation:

This is the answer because I need points to answer a question

Answer:

99.9468 %

Step-by-step explanation:

The total percentage of the diamond and gold is:

0.0042 %  + 0.049%  = 0.0532%

The percentage of other metal that is neither gold or diamond = 100 - 0.0532

                                                                                                         = 99.9468 %

What is the solution to the following system of equations?
[x+y=5
(x-y= 1
0 (-2,7)
(2,3)
(3, 2)
(7-2)

Answers

Answer:

(3,2)

Step-by-step explanation:

The system is

x + y = 5

x -y = 1

Add the equations to eliminate y

2x = 6----->x=3

Substitute this value in any equation

3+y = 5----->y=2

The solution is (3,2)

Evaluate 6j+23+kl−3, when j=3, k=7, and l=33.

Enter your answer in the box.


Answers

Answer:

269

Step-by-step explanation:

1) Substitute in the given values for each variable:

6(3)+23+(7)(33)-3

2) Simplify:

18+23+231-3

3) Simplify again:

269

At the beach, 45% of people have red towels and 15% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?

Answers

To find out what percent of the people at the beach have white towels, we can take the sum of the percents and subtract them from 100. In other words, we can add up the percents of both the red and the blue towels and subtract the sum from 100%.

45 + 15 = 60

100 - 60 = 40

Therefore, 40% of the people at the beach have a white towel.

Answer:

40%

Step-by-step explanation:

At the beach, 45% of people have red towels and 15% have blue towels. If the  rest have white, 40% of the people at the beach have white  towels.

In order to find the answer, you have to do the following steps:

45% + 15% = 60%

100%  - 60% = 40%

Therefore, the answer is 40%.

. A mason has 7,758 bricks that he needs to share equally among 9 different building sites. How many
bricks should go to each site?​

Answers

Answer:

862

Step-by-step explanation:

39X5=5X(____-1)=(5X___)-(5X1)=___-___=__

Answers

Answer:

8 85

Step-by-step explanation:

Final answer:

The operational value being sought in the equation 39X5 equals 5X(___-1) is 40. When you multiply 5 with 40 and subtract the product of 5 and 1 from the result, you get 195, which matches 39x5.

Explanation:

The equation provided is a multiplication and subtraction problem, where you're tasked to find a sequence of operations that gets from 39x5 to an answer. Detangle it step by step:

The first operation is simple multiplication: 39x5 equals 195.Then we need to figure out the number which when multiplied by 5 and subtracted by the product of 5 and 1 results in 195. This number is 40 because 5x40 is 200, and subtracting 5 (which is 5x1) gives us 195. Hence the equation becomes 5x(40-1). To verify, the left side of the equation 5x(40-1) becomes (5x40) - (5x1) which equals 200 - 5, and that is indeed 195, matching the right side of the first equation (39x5).

Learn more about Multi-step equations here:

https://brainly.com/question/18686312

#SPJ2

PLZ HELP 25 POINTS THIS IS AN EMERGENCY THANKS!!

Answers

This is how the graph looks. Hope it helps!!!!

How many 1/16 inches are in one inch?

Answers

The answer is 16 inches are in 1/16 inches

sinθ> cosθ<0 where does angle θ lie

Answers

Since you want a negative cosine, your angle will surely lie in the II or III quadrant.

In particular, in the II quadrant, the cosine is negative and the sine is positive, so you surely have [tex]\sin(\theta)>\cos(\theta)[/tex]

As for the third quadrant, we start with

[tex]\sin(\pi)=0,\quad\cos(\pi)=-1[/tex]

(which implies that the sine is greater than the cosine) and we end with

[tex]\sin\left(\dfrac{3\pi}{2}\right)=-1,\quad\cos\left(\dfrac{3\pi}{2}\right)=0[/tex]

which implies that the sine is less than the cosine.

Halfway through, we have

[tex]\sin\left(\dfrac{5\pi}{4}\right)=\cos\left(\dfrac{5\pi}{4}\right)=\dfrac{\sqrt{2}}{2}[/tex]

So, only the first half of the III quadrant is fine, because sine and cosine are both negative, but the sine is "less negative" than the cosine, so we have, as requested,

[tex]\begin{cases}\sin(\theta)>\cos(\theta)\\\cos(\theta)<0\end{cases}[/tex]

So, the final answer is that the angle lies in the interval

[tex]\dfrac{\pi}{2}<\theta<\dfrac{5\pi}{4}[/tex]

Answer:

[tex]\theta\in\left(\pi+2k\pi;\ \dfrac{3\pi}{4}+2k\pi\right)[/tex]

Step-by-step explanation:

I think correct inequality is

[tex]\cos\theta<\sin\theta<0[/tex]

The easiest way is to draw graphs of sine and cosine functions in one coordinate system and read a set of solutions from the graph (look at the picture).

We need to solve the equation

[tex]\sin\theta=\cos\theta[/tex]

to get the intersection points of the graphs.

[tex]\sin\theta=\cos\theta\qquad\text{divide both sides by}\ \cos\theta\neq0\\\\\dfrac{\sin\theta}{\cos\theta}=1\to\tan\theta=1\to\theta=\dfrac{\pi}{4}+k\pi,\ k\in\mathbb{Z}[/tex]

We look at where the sine function graph is above the cosine function graph.

Solve 4x - c = k for x

Answers

Step-by-step explanation:

4x-c=k

4x=c+k

x=(c+k)/4

Answer:

X= K-C/4

Step-by-step explanation:

The -C goes to the K makes it K-C

Then /4 because we need the ex by their self

Lastly we get W=K-C/4

- 0.46 divided 0.2 =

Answers

Answer:

-2.3

Step-by-step explanation:

Don't forget to move the decimal

Please answer this correctly

Answers

Answer:

Rita

Step-by-step explanation:

Everyone else is further from Rita.

What is |-84.7|? A. 8 B. 84.7 C. -84.7 D. -84.7 or 84.7

Answers

Answer:

your answer is B

Step-by-step explanation:

Your answer would be B

RE
The pair of points is on the graph of an inverse variation. Find the missing value.
(2, 8) and (x, 3)

Answers

Answer:  [tex]\bold{\dfrac{16}{3}}[/tex]

Step-by-step explanation:

Inverse variation uses the formula: xy = k

We are given that x = 2 and y = 8, so k = 16

Now, let's find x when y = 3 and k = 16

[tex]x(3)=16\\\\x=\dfrac{16}{3}[/tex]

0. Kevin needs to buy shrubs for his yard. Six shrubs at the nursery cost $72.00. At the garden
store, 6 shrubs cost $66.00. How much will be save if he buys 21 shrubs from the garden store
compared to if he had bought them at the nursery?
$12.00
6 Shows
67ttoo

Answers

Final answer:

By calculating the cost per shrub at both the nursery and the garden store, then multiplying by 21 shrubs, we find that Kevin saves $21.00 by purchasing from the garden store instead of the nursery.

Explanation:

Kevin is trying to decide between two stores to purchase a total of 21 shrubs for his yard. In order to calculate how much money Kevin can save by choosing the garden store over the nursery, we will need to determine the cost per shrub at each location and then multiply by the total number of shrubs Kevin wants to purchase.

At the nursery, six shrubs cost $72.00, which means each shrub costs $72.00 ÷ 6 = $12.00.

For 21 shrubs, the cost at the nursery would be 21 × $12.00 = $252.00.

At the garden store, six shrubs cost $66.00, which gives us a cost of $66.00 ÷ 6 = $11.00 per shrub.

Therefore, for 21 shrubs, the total cost would be 21 × $11.00 = $231.00.

Now, let's find out the savings if Kevin buys from the garden store instead of the nursery: $252.00 - $231.00 = $21.00.

Thus, Kevin will save $21.00 by purchasing the shrubs from the garden store.

30 POINTS + BRAINLIEST FOR THE CORRECT ANSWER!

Question:

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

My work:

x = 155 - 62 which leaves you with x being 53 (Credits to those who helped me in my previous asked question)
That's all I could come up with which completes part A, if you know the answer to part B feel free to just answer part B! Part A is not needed but I added it there for those who need to see it.

Answers

The angles of 115 degrees and (52+x) are the same, because they are alternate interior angles.

Answer:

62º + x = 115º

because AB and CD are parallel, which means 115º and 62+x are "alternate angles"

ALTERNATE ANGLES

Step-by-step explanation:

Finding the area of a triangle in sq. mm Answer choices in picture*!!

Answers

Answer:

200 mm^2

Step-by-step explanation:

Area of the rectangle = 2 * 25 = 50 mm^2.

Area of the triangle = 1/2 * 20 * 15

= 1/2 * 300

= 150 mm^2.

Total area = 150 ^ 50 = 200 mm^2.

what are the coordinates of the midpoint of the segment whose endpoints are A(-3, -5) and B(2,7)

Answers

Answer:

(-0.5,1)

Step-by-step explanation:

The half of the diference between the points its equal to its midpoint distance:

[tex](\frac{-3+2}{2},\frac{-5+7}{2} )=(-0.5,1)[/tex]

solve for x x/7 +9=15

Answers

subtract the 9 from 9 to cancel it out. Then subtract 9 from 15, which is 6. And 6 times 7 is 42.

Answer:

x = 42

Step-by-step explanation:

x/7 + 9 = 15

=> x/7 = 15 - 9

=> x/7 = 6

=> x = 6(7)

=> x = 42

Find two consecutive integers whose sum is 373.

Answers

Final answer:

The two consecutive integers whose sum is 373 are 186 and 187. We derived the equations n + (n + 1) = 373 and solved for n to find the first integer.

Explanation:

To find two consecutive integers whose sum is 373, let's denote the first integer as n. The next consecutive integer will be n + 1. When we add these two integers together, their sum should equal 373, which gives us the equation:

n + (n + 1) = 373

Simplifying this equation, we get:

2n + 1 = 373

To solve for n, we subtract 1 from both sides of the equation:

2n = 372

Divide both sides by 2:

n = 186

So the first integer is 186. The next consecutive integer is:

n + 1 = 186 + 1 = 187

Therefore, the two consecutive integers that sum to 373 are 186 and 187.

Area of a parallelogram with a base length of 2.9 ft and a height of 5.5 ft

Answers

Step-by-step explanation:

Area of parallelogram = ( base ) ( height )

area of parallelogram = ( 2.9 ft ) ( 5.5 ft )

( as given )

area of parallelogram =15.95 ft²

I really don't get the whole Mean, Median and Mode thing.​

Answers

Answer:

The mean is the average you're used to, where you add up all the numbers and then divide by the number of numbers. The median is the middle value in the list of numbers. The mode is the value that occurs most often.

Mean is all the numbers together in total so in order to get the mean you just add up all the numbers then divide by the total amount of numbers in that set.

Median in order to find the median you rearrange the numbers least from greatest and find the average from the two numbers in the middle of the set 2,2,2,2,2,4,5,5 21, in this case 2 because it's the number in the middle.

Mode in a set of numbers the mode is the most occurring of numbers 2,2,2,4,5,21,2 2,5 which would be 2 in this case.

Hope this helps.

What is the error in both of these problem

expain how you got your answer​

Answers

Answer:

Step-by-step explanation:

2.

Step where it was wrong ->

x-8 = 0

x=-8

They just put negative eight on the right side you have to cancel negative 8 out by adding negative 8 on both sides.

x-8=0

+8   +8

x=8 <- Right solution.

3.

Step where it was wrong ->

8(p-7) = 75

8p-7=75

Distributive Property you have to do 8 times p and 8 times -7, they just did 8 times p and forgot to do 8 times -7.

8(p-7)=75

8p-56=75     <- Do 8 * -7 in addition of doing 8 *p

8p=131

/8   /8

p = 16.735 or 131/8

One positive number is three more than twice another. Their product is 119

Answers

Answer: The numbers are 7 and 17

Step-by-step explanation: twice of 7 is 14 and 3 + 14 = 17

What is 17/20 in a decimal

Answers

Answer:

0.85

Step-by-step explanation:

1/20=0.05

0.05*17=0.85

17/20 as a decimal would be 0.85

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