Complete question :
Kayla is framing a square painting with side lengths of x+5 inches. The total area of the painting and the frame has a side length of 3x-6. inches. Write an expression for the area of the frame. Then find the cost of the material for the frame if x = 16. The material for the frame will cost 0.07 per square inch
Answer:
8x² - 46x + 11 ;
$92.61
Step-by-step explanation:
Side length of square painting = x + 5
Area of square painting = (x +5)²
Side length of Total area of square painting + frame = 3x - 6
Total area = (3x - 6)²
Area of frame :
(3x - 6)² - (x +5)²
(3x - 6)(3x-6)
9x² - 18x - 18x +. 36 = 9x² - 36x + 36
(x +5)(x+5) = x²+5x+5x+25 = x² + 10x + 25
9x² - 36x + 36 - (x² + 10x + 25)
9x² - 36x + 36 - x² - 10x - 25
8x² - 46x + 11
Area of frame = 8x² - 46x + 11
8(16^2) - 46(16) + 11
= 1323 in²
1323 * 0.07 = $92.61
HELP NOW I BEEN STRESSING OUT
Answer:
(0,-3)
Step-by-step explanation:
the y intercept is when x =0
Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle
Answer:
123°, 41° and 16°Step-by-step explanation:
x - the measure of the largest angle
x - 107° - the measure of the smallest angle
¹/₃x - the measure of the third angle
x + x - 107° + ¹/₃x = 180°
2¹/₃x = 180° + 107°
⁷/₃x = 287°
x = 287°÷⁷/₃
x = 287° · ³/₇
x = 123°
x-107° = 123° - 107° = 16°
¹/₃x = ¹/₃ · 123° = 41°
PLEASE ANSWER THIS QUESTION!!!!!!!!!
Answer:
the answer is 6.5 because the left side would be 44 and the right side would be 46.5
Step-by-step explanation:
A trapezoid with an area of 36 inches squared.
What is the area of the enlarged trapezoid?
54 in.²
81 in.²
576 in.²
864 in.²
Answer:
B. 81 in.²
Step-by-step explanation:
We have been given that the trapezoid shown in the attachment has been enlarged by a scale of 1.5. We are asked to find the area of the enlarged trapezoid.
The area of the original trapezoid is 36 square inches.
Since each side of the trapezoid is enlarged 1.5 times, so the area of new trapezoid would be 2.25 times greater than area of original trapezoid.
The area would be 2.25 times greater because area is product of sum of lengths of parallel sides and height.
1.5 × 1.5 = 2.25
Area of new trapezoid: 2.25 × 36 in²
Area of new trapezoid = 81 in²
The area of the enlarged trapezoid would be 81 in² or option B.
A) x+1
B)5x-3
C)3x-1
D)9x-3
Answer:
D)9x-3
Step-by-step explanation:
Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )
Bring the like terms together and simplify.
= 2x + 4x + 3x - 2 - 1
= 9x -3
Two heads 35 Two tails 23 One head, One tail 52 What is the theoretical probability that a coin toss results in two heads showing?
Answer:
[tex]Pr = 0.25[/tex]
Step-by-step explanation:
Given
Two heads ---> 35
Two tails ---> 23
One head, One tail ---> 52
Required
The theoretical probability of 2 heads
When a coin is tossed, the probabilities are:
[tex]P(Head) = 0.5[/tex]
[tex]P(Tail) = 0.5[/tex]
So, the theoretical probability of 2 heads is:
[tex]Pr = P(Head) * P(Head)[/tex]
[tex]Pr = 0.5 *0.5[/tex]
[tex]Pr = 0.25[/tex]
Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment
PLEASE HELP WITH THIS AND SHOW WORK.
Answer:
RECT and ANGL are similar triangles with a ratio of 9:16, and for TR, we have TR:24 in the ratio 9:16 so TR = 13.5
Hope this helps!
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]
→ [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]
[tex]= 663[/tex]
Thus the approach above is right.
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If the circumference of a circle is 12.56 ft, what is the length of the radius? Use 3.14 for π.
A. 6.28 in.
B. 4.03 in.
C. 4 in.
D. 2 in.
Answer:
D - 2in
Step-by-step explanation:
Someone plz help me giving brainliest
Answer:
1. Why can't he understand that we don't have no more to give to him.
2. The sitter had to sing Im a Little Teapot before Suzie would go to bed.
3. Meddlesome is interfering.
4. Heading
5.Takes
Given that p =5, q = 2, r=4
What is the value of 7r
Answer:
28
Step-by-step explanation:
if r=4 that means that 7r= 7×r is 28
ok, I need help now! this is due very soon. please no spam, I need an actual answer.
Find the perimeter of the trapezoidal brick to the nearest tenth of an inch.
Lamar used 7/8 of a cup of raisins to make snacks mix. he used 3/4 of a cup of raisins to make cookies what expression could be used to determine the amount of raisins in cups Lamar used together
A: 7/8 + 3/8
B: 7/8 + 6/8
C: 7/12 + 3/12
D: 11/12 + 11/12
I NEED TO KNOW NOWW PLEASEEE!!!!
Please help with this! Please don't get it wrong T0T
Answer:
45
Step-by-step explanation:
angle E is 115
angle C and B 20 degrees
180 - 135= 45
Find the volume of the pentagonal base is 33.5 cm2 and the height of the prism is 15 cm. Do not include units in your answer.
Answer:
[tex]V=502.5\ cm^3[/tex]
Step-by-step explanation:
The area of the pentagonal base, A = 33.5 cm²
The height of the prsim,h = 15 cm
We need to find the volume of the pentagonal base prism. The formula for the volume of the pentagonal base prism is given by :
[tex]V=A\times h\\\\V=33.5\times 15\\\\V=502.5\ cm^3[/tex]
So, the required volume is [tex]502.5\ cm^3[/tex].
Please help Magan recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Based on these results, express the probability that a seventh grader chosen at
random will play the guitar as a fraction in simplest form?
Answer:
[tex]Probability = \frac{11}{40}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:
[tex]7th\ graders =11+8+8+13[/tex]
[tex]7th\ graders =40[/tex]
7th graders that can play guitars are:
[tex]Guitars = 11[/tex]
So, the probability is:
[tex]Probability = \frac{Guitars}{7th\ graders}[/tex]
[tex]Probability = \frac{11}{40}[/tex]
pleaseee help me answer this question
Answer: use the radious
Step-by-step explanation:
What is the length of JL?
Answer:
your answer will be A)4.5
EXPLAIN YOUR ANSWER!!!!!! WILL BE GIVING OUT BRAINLIEST!!!!!!!!!!!!
Answer:
The answer is B. [tex]3\frac{1}{3} ft.[/tex]
Step-by-step explanation:
It states that the figures in the pair are similar
When you multiply 5*8 it gives you 40 on the first angle
If the figures are similar then the other angle will equal 40.
So we need to find out which number that is multiplied by 12 that will give you 40.
If we multiply [tex]12*3\frac{1}{3}[/tex], it should give you 40.
Convert The mixed number into a improper fraction:
3 1/3=3*3+1/3
=10/3
Convert the element into a fraction:
12/1*10/3
Factor the number:
3*4/1=10/3
Cross - cancel the common factor: 3
4/1*10/1
Apply the fraction rule:
4*10/1*1
Multiply the numbers: 4*10=40
=40/1*1
Multiply the numbers: 1*1=1
=40/1
Apply the Fraction rule:
=40
Answer: I would love to help but I don’t see the work did you put a picture or something because I don’t see it anything there.
Step-by-step explanation:
I need help with this math problem ASAP plsssss helppp. The problem is attached below
Answer:
234.67 in³
Step-by-step explanation:
volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³
volume of half sphere = 523.33/2 = 261.67 in³
volume of cube = LWH = 3³ = 27 in³
261.67 - 27 = 234.67 in³
Someone please!!!!!! give me the correct answer to this question.
I will mark you brainliest for the correct answer.
This is a big test.
Please help!!!!
Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.
Answer:
the figure is missing. please provide the figure.
Juan is twice as old as his brother, Peter. Juan is 12 years old. Which
equation can be used to find Peter's age?
A/ 2 - x = 12
B/ x-2= 12
C/2x = 12
D/ x + 2= 12
Answer:C
Step-by-step explanation:
Answer:
c, becajse thats the one that makes most sence
Step-by-step explanation:
y
Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
answer for combining A and B
i have a question what is ten times ten divided by 2
Answer:
50!
Step-by-step explanation:
Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways.
Answer:
yx
Step-by-step explanation:
The answer is yx
We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
What is "Linear Function" ?A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.
The initial value is b.
A linear function is a graph with straight lines.
A unit rate exists for all linear functions (b).
here, we have,
given that,
Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.
Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.
Paul's idea has a linear function as its equation.
This leads us to the conclusion that linear functions can be used to represent each of the ideas.
Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
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kevin's garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. how much turf will he need to buy and how much will this cost?
Answer:
Kevin’s garden is rectangular and measures 12 metres by 15 metres. He plans to lay new turf in the garden which will cost £8 per square metre. How much turf will he need to buy and how much will this cost? 4)Inga needs to buy enough skirting board to replace the old skirting board in her bedroom. The bedroom is 5m 20cm long and 4m 80cm wide.
Step-by-step explanation:
Which statement about the value of a credit report to lenders and borrowers is NOT true?
aCredit reports tell borrowers their likelihood of getting a loan, and their likelihood of getting a good rate.
bCredit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
cCredit reports tell lenders the risk that a borrower will not repay a loan.
dCredit reports tell borrowers and lenders about the borrower’s past performance on loans.
Answer:
Credit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.
Step-by-step explanation:
The answer is right
Rectangle QUAD has coordinates Q(0,0), U(0,2), A(7,3), and D(7,0). Q'U'A'D' is the image of QUAD after a dilation with center (0,0) and scale factor 6. What are the coordinates of point U '?
Answer:
U': (0 , 12)
Step-by-step explanation:
(0 , 2) -> (0*6, 2*6) -> (0 , 12)