Answer:
39
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
Cristina is painting the playhouse she made for her sister. She intends to paint only the outside of the house that does not include the floor. The paint she chose must be purchased in full gallons. Each gallon covers 200ft² and costs $15.95 a gallon. How much will it cost cristina to paint the playhouse?
answer the question Please ASAP
The independent variable is
A: Number of friends (f)
B: Number of cost (c)
The dependent variable is
A: c = 20f
B: f = 20c
C: c = 10f
D: f = 10c
Multiply. Write as a mixed number in simplest form 2 1/5 X 2 2/9
Answer:
4 4/9
Step-by-step explanation:
2 1/5 X 2 2/9
= 11/5 * 20/9
= 11/1 * 4/9
= 44/9
= 4 4/9
is this right. if it's not can you tell me what I did wrong
What is -3.45 minus positive 2.2
Answer:
-5.65
Step-by-step explanation:
A square orange rug has a yellow square in the center. The side length of the yellow square is x inches. The width of the orange band that surrounds the yellow square is 11 in. What is the area of the orange band?
To find the area of the orange band, subtract the area of the yellow square from the area of the larger square.
Explanation:To find the area of the orange band, we need to subtract the area of the yellow square from the area of the larger square. The side length of the larger square is 8 inches because it is twice the side length of the yellow square, which is x inches. So, the area of the larger square is 8 * 8 = 64 square inches. The area of the yellow square is x * x = x^2 square inches. Therefore, the area of the orange band is 64 - x^2 square inches.
Final answer:
To calculate the area of the orange band, find the area of the larger square using the side length of x + 22 inches and subtract the area of the smaller yellow square with side length x. The expression for the area of the orange band is [tex](x + 22)^2 - x^2[/tex], which simplifies to 44x + 484 square inches.
Explanation:
To calculate the area of the orange band, you need to determine the area of the outer (larger) square and subtract the area of the inner (smaller) yellow square. First, find the side length of the larger square, which is the side length of the yellow square plus twice the width of the orange band, so it's x + 2(11) inches. Thus, the side length of the larger square is x + 22 inches.
Now, calculate the area of both squares. The area of the larger square is [tex](x + 22)^2[/tex] square inches, and the area of the yellow square is [tex]x^2[/tex] square inches. The area of the orange band is the difference between these two areas:
Area of the larger square:[tex](x + 22)^2[/tex]
Area of the yellow square: [tex]x^2[/tex]
Area of the orange band: [tex](x + 22)^2 - x^2[/tex]
To find the area of the orange band, you expand the expression [tex](x + 22)^2[/tex], which gives you [tex]x^2 + 44x + 484[/tex], then subtract the area of the yellow square [tex]x^2[/tex], resulting in 44x + 484 square inches, which is the area of the orange band.
The farmers holdings are in two separate parcels she has planted corn on 30% of the first parcel and 60% on the other supposed the first person I was twice as big as the second what percentage of the farmers turtle land is planted explain your answer with a math drawing
3/5x
= 60%
Step-by-step explanation:
Assume that Parcel 2 is assigned x acres; Parcel 1 will be 2x (because its twice as large as parcel 2).
Therefore if the farmer has planted on 30% on parcel 2;
30/100 * 2x area
60/100x
=3/5x
Parcel 1 ;
60/100 * x area
60/100x
3/5x
The total area planted =
(3/5x + 3/5x ) /2
= 3/5x
3/5 * 100
= 60%
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A fence is to be built to enclose a rectangular area of 450 square feet. The fence along three sides is to be made of a material that costs $3 per foot. The material for the fourth side costs $9 per foot. Find the dimensions of the rectangle that will allow for the most economical fence to be built.
Answer: 25 by 50 ft
Hope this helps
The dimensions of the rectangle will allow for the most economical fence to be built are 30 feet by 15 feet
Given that, rectangular area=450 square feet.
What is the formula to find the area of a rectangle?The formula to find the area of a rectangle is Area=Length×Breadth.
Let the length of the rectangle be x and the breadth of the rectangle be y.
Now, 450=xy.
x=450/y
The cost of three sides is $3 per foot.
That is, 3x+3x+3y
The cost on the fourth side is $9 per foot.
That is, 9y
Total cost=6x+12y
Now, Total cost=6×450/y+18y
Let the minimum cost be 0.
2700/y+12y=0
⇒2700/y²-12=0
⇒12y²=2700
⇒y=15 feet
So, 450/15=x=30 feet.
Therefore, the dimensions of the rectangle are 30 feet by 15 feet.
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It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle.
Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.
Let CCC denote the number of cars they build and MMM the number of motorbikes they build.
Answer:
a) 31c + 19m ≤ 706
b) 7500c + 4300m > 84000
Step-by-step explanation:
hope it helps :p
Answer:
make sure variables are capital!
Step-by-step explanation:
Billy pays $46 for a meal at restaurant the ratio of the cost of the meal to the amount of tip given is 20 : 3. Find the amount of the tip he gives.
please help asap! ty
The amount of tip is $6
Step-by-step explanation:
Step 1: Given total bill amount = $46. Ratio of cost of meal to tip = 20:3So let cost of meal be 20 x and the tip be 3 x.
⇒ 3x + 20x = 46
⇒ 23x = 46
⇒ x = 2
Step 2: Calculate the tip.⇒ 3x = 3 × 2 = $6
A rectangle has side lenghs X +2 and 3X -1 write an expression that represents the perimeter of the rectangle then simplify the expression
Answer: Perimeter = 2(L + W) and
as a simplified expression is, 8x + 2
Step-by-step explanation: The length is represented by L and the width is represented by W in the expression above.
However, since we have been given the sides of the rectangle as x + 2 and 3x - 1, we shall substitute for the values of these in the expression representing the perimeter.
2(L + W) can now be written as
2( {x + 2} + {3x - 1} )
2(x + 2 + 3x - 1)
By collecting like terms, we now have
2(4x + 1)
8x + 2.
The expression can now be simplified as 8x + 2
81 is 18% of what number? Enter your answer in the box.
Answer:
450
Step-by-step explanation:
If 81 is 18% of a number then we can say that:
x × 0.18 = 81
We multiply by 0.18 because 18% is 0.18 as a decimal. So to work out the real number we divide 81 by 0.18:
81 ÷ 0.18 = 450
The number −6 is 2 more than an unknown number. Find the unknown number.
The unknown number is -8.
To find the unknown number, we can set up an equation based on the given information.
We are told that -6 is 2 more than the unknown number, so we can represent this as:
Unknown number + 2 = -6
To isolate the unknown number, we need to subtract 2 from both sides of the equation:
Unknown number = -6 - 2
Unknown number = -8
So, the unknown number is -8. This means that when you add 2 to -8, you get -6, which satisfies the condition given in the problem.
In summary, by setting up and solving the equation Unknown number + 2 = -6, we determined that the unknown number is -8.
This equation represents the relationship between the unknown number and the given value of -6, where -6 is 2 more than the unknown number, as specified in the problem statement.
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Use similar triangles ABC and XYZ to find the missing height h. around to the nearest tenth if necessary.
Answer:
Therefore,
The height is 23.3 ft.
Step-by-step explanation:
Given:
ΔABC ~ ΔXYZ
AC = 108.5 ft
BC = h
XZ = 14 ft
YZ = 3ft
To Find:
h = ?
Solution:
Δ ABC ~ Δ XYZ….Given
If two triangles are similar then their sides are in proportion.
[tex]\dfrac{AB}{XY} =\dfrac{BC}{YZ}=\dfrac{AC}{XZ} \textrm{corresponding sides of similar triangles are in proportion}\\[/tex]
Substituting the values we get
[tex]\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
[tex]\dfrac{h}{3}=\dfrac{108.5}{14}\\\\h=\dfrac{325.5}{14}=23.25=23.3[/tex](nearest tenth)
Therefore,
The height is 23.3 ft.
What is the greatest common factor of 10x and 22x“?
Answer:
2x
Step-by-step explanation:
x and 2 are common to both 10x and 22x, so 10x + 22x = 2x(5 + 11)
The GCF is 2x.
How to find the area of 9 inches times 3 inches times 3 inches times 3 inches times 2 inches
Answer:
486
Step-by-step explanation:
Just multiply them by each other
Answer:
The answer is 486 in. squared! :)
Step-by-step explanation:
With PEMDAS, you multiply 9 x 3 which equals 27 x 3 = 81 x 3 = 243 x 2 = 486!
I hope this helped, sorry I answered so late.
Good Luck! :)
A straight slide in a playground design makes an isosceles triangle with the
ground and its platform, with area 32 square feet. What is the length of the slide?
A 412 feet 32 © 8/2 feet 126
B 8 feet 6
0 16 feet 256
Answer:
Option D.
Step-by-step explanation:
First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side. Next, we know that the formula for calculating the area of a right angled triangle is given by:A = 1/2 (base × perpendicular height)
The perpendicular height is equal to the base. Let's say the base is x. It means that the height is also x, since height = base. Therefore, the formula will be:A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I need help please
Answer:
Mean=23
Median =23.5
Range=22
Interquartile range = 14
Step-by-step explanation:
Given set of data
11,13,17,20,22,25,27,31,31,33
Mean [tex]=\frac{11+13+17+20+22+25+27+31+31+33}{10}[/tex]
[tex]=\frac{230}{10}[/tex]
=23
The[tex](\frac{n}{2})[/tex] th term= the 5th term
=22
The [tex](\frac{n}{2}+1)^{th}[/tex] term = The [tex]6^{th[/tex] term
= 25
The median = [tex]\frac{22+25}{2}[/tex]
=23.5
Range = Highest term - lowest term
=33- 11
=22
Here lower half {11,13,17,20,22}
The middle number of lower half is first quartile.
Q₁ = 17
And lower half is{25,27,31,31,33}
The middle number of upper half is third quartile.
Q₃=31
Interquartile Range =Q₃-Q₁
=31-17
=14
Answer:
Mean = 23
Median = 23.5
Range = 22
Interquartile range = 14
7. If 40% of a given number is 8, then what is 15% of the
given number?
Answer:
3
Step-by-step explanation:
First find the given number(x)
40% : 40/100 × x = 8
the value of x is 20.
Next find 15% of 20
15/100 × 20 = 3
The 15% of 20 is 3.
What is percentage?Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.
Given:
40% of a given number is 8
let the number be x
So, 40% of x = 8
40/100*x= 8
x= 8*100/40
x= 800/40
x= 20
and 15 % of 20
=0.15*20
= 3
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Sophia pays a
$19.99 membership fee for an online music store. If Sophia purchases
il songs for
S0.99 each, write an expression for the total cost.
A0.991 - 19.99
B0.997 + 19.99
C0.991 x 19.99
D0.99
Part B
If she buys two songs from a new album, what is the total cost?
Answer:
Answer:
19.99 + 0.99x ; 21.97
Step-by-step explanation:
19.99 + 0.99x
19.99 + 0.99(2)
19.99 + 1.98
21.97
You go to a basketball game and buy 3 waters that cost x dollars each. Your brother buys a bottle of water and a bag of peanuts that costs $4.5O. Write an expression in simplest form that represents the total amount of money spent altogether.
Answer: y=3x+4.50
Step-by-step explanation:
Answer:
4.50- 10.50/ 3x
6/3x= 2
Is the 161 rounded to the nearest 10 or to the nearest 100
Answer:
161 to the nearest 10 = 160
161 to the nearest 100 = 200
Step-by-step explanation:
161 to the nearest 10:
Since you know that 60 is the tenth unit in this number, and 1 is the one unit, the one unit will indicate if it should be rounded up or down. If the one unit it 4 and below, the number will be rounded down. If the one unit is 5 and above, the number will be rounded up.
With this information, we know that he one unit in this number is "1", which will make the 61, be rounded down to 60, resulting in 160.
Using the same information with rounding to the nearest 100, since the tenth unit is above 5, the number will be rounded to the nearest 100, which is 200.
You use the number before the number you are trying to round, to find the nearest "_th".
Answer:
if its rounded to the nearest 10 it would be = 160
if its rounded to the nearest 100 it would be = 200
Step-by-step explanation:
GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 7 pencils for $1.68 p pencils for $2.88 a. 7.1.68 = p/2.88; p = 10 c. 1.68/7 = p/2.88; p = 0.7 b. 7/1.68 = p/2.88; p = 12 d. 7/2.88 = p/1.68; p = 4
The proportion that could be used to solve for the variable is:
[tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex] ; p = 12 ⇒ b
Step-by-step explanation:
Direct proportion means that two (or more) quantities increase or decrease in the same ratio
y = k x is the equation of direct proportion, where k is the constant of proportionality[tex]\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k[/tex] is the another way to write a proportionThe number of pencils and the cost of them is increased together or decreased together
∴ The number of the pencils and their costs are in direct proportion
- By using the 2nd rule above
∵ The cost of the 7 pencils is $1.68
∵ The cost of p pencils is $2.88
∴ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
The proportion that could be used to solve for the variable is: [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
∵ [tex]\frac{7}{1.68}=\frac{p}{2.88}[/tex]
- By using cross multiplication
∴ p × 1.68 = 7 × 2.88
∴ 1.68 p = 20.16
- Divide both sides by 1.68
∴ p = 12
The value of variable p is 12
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a school had 1,200 students last year and only 1080 this year what was the percentage decrease in the number of students
Answer:
10%
Step-by-step explanation:
1200-1080= 120 , 1200/10 is 120 which means 10% is 120 students , so if you subtract 120 from 1200 you get 1080.
The percentage decrease in the number of students is -10%.
Given that,
The school has 1,200 students last year.And, this year it is 1,080.Based on the above information, the calculation is as follows:
[tex]= \frac{1080 - 1200}{1200} \\\\= -10\%[/tex]
Therefore we can conclude that the percentage decrease in the number of students is -10%.
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The volume (show work
Let us find the area of the trapezoid first and then multiply by the height.
Area of trapezoid: 1/2(leg 1 + leg 2)h = 1/2(9+13)6 = 66 m²
Volume: area of the base x height = 66 x 14 = 924 m³
answer: 924 m³
Write two equations that would have the solution of (3,6)
Answer:
Step-by-step explanation:
3x1=3
2x3=6
2+1=3
3+3=6
Two equations that have the solution (3,6) include y = 2x and x + y = 9, satisfying the point when their values are substituted.
To write two equations that would have the solution of (3,6), we need to construct linear equations where the point (3,6) satisfies both equations. Here are two examples that fit the criteria:
The first equation could be y = 2x, because when x=3, then y=2(3)=6.
The second equation could be x + y = 9, because when x=3 and y=6, then 3 + 6 = 9.
These two examples clearly have the solution (3,6) when the respective values for x and y are substituted.
Devaugh is 12 years younger than Sydney. The sum of their ages is 86. What is Sydney's age
Answer:74
Step-by-step explanation:
A 5-column table with 10 rows titled Table 2, Fastest growing occupations, 2006-16 (numbers in thousands). Column 1 is labeled 2006 National Employment matrix code and title with entries Network systems and data communications analysts, 15-1081; personal and home care aides, 39-9021; home health aides, 31-1011; computer software engineers, applications, 15-1031; veterinary technologists and technicians, 29-2056; personal financial advisors, 13-2052; makeup artists, theatrical and performance, 39-5091; medical assistants, 31-9092; veterinarians, 29-1131; substance abuse and behavioral disorder counselors, 21-1011. Column 2 is labeled employment number for 2006 with entries 262, 767, 787, 507, 71, 176, 2, 417, 62, 83. Column 3 is labeled employment number for 2016 with entries 402, 1,156, 1,171, 733, 100, 248, 3, 565, 84 112. Column 4 is labeled percent change with entries 53.4, 50.6, 48.7, 44.6, 41, 41, 39.8, 35.4, 35, 34.3. Column 5 is labeled numeric change with entries 140, 389, 384, 226, 29, 72, 1, 148, 22, 29.
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
a.
Substance abuse and behavioral disorder counselors
b.
Personal finance advisors
c.
Home health aides
d.
Makeup artists
Answer:
The correct answer is D. Makeup artists
Step-by-step explanation:
Based on the above table, which occupation listed here is expected to have the smallest total number of jobs in 2016?
These are the total number of jobs expected in 2016:
A. Substance abuse and behavioral disorder counselors : 112,000
B. Personal finance advisers : 248,000
C. Home health aides : 1'171,000
D. Makeup artists: 3,000
The correct answer is D. Makeup artists
Answer:
d on edg
Step-by-step explanation:
solve the equation
k + 22 = 29
Answer:
K=7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
k + 22 = 29
collect like terms
k = 29 - 22
k = 7
It takes 2 1/5 kilometers of thread to make 2 5/6 boxes of shirts. How many kilometers of thread will it take to make 9 boxes of shirts.
It would take 6.99 kilometers of thread to make 9 boxes of shirts.
Step-by-step explanation:
Step 1; First we convert the mixed fractions into improper fractions. So
2[tex]\frac{1}{5}[/tex] becomes [tex]\frac{11}{5}[/tex] after multiplying 2 with 5 and adding 1 while 5 remains.
2[tex]\frac{5}{6}[/tex] becomes [tex]\frac{17}{6}[/tex] after multiplying the 2 with 6 and adding 5 while 6 remains.
Step 2; Next we equate the given data; [tex]\frac{11}{5}[/tex] kilometers of thread = [tex]\frac{17}{6}[/tex] boxes of thread. We must make the RHS equal to 1 to find out the kilometers of thread needed to make 1 box of shirts. So we multiply [tex]\frac{6}{17}[/tex] on both sides to make the RHS equal to 1.
[tex]\frac{11}{5}[/tex] × [tex]\frac{6}{17}[/tex] = [tex]\frac{17}{6}[/tex]× [tex]\frac{6}{17}[/tex]= 1, So [tex]\frac{11}{5}[/tex] × [tex]\frac{6}{17}[/tex] = [tex]\frac{66}{85}[/tex] km of thread. So [tex]\frac{66}{85}[/tex] kilometers of the thread is required to make 1 box of shirts so we multiply this with 9 to see thread required to make 9 boxes of shirts.
Thread required for 9 boxes of shirts = [tex]\frac{66}{85}[/tex] × 9= [tex]\frac{594}{85}[/tex] = 6.9882 kilometers of thread. This is rounded off to 6.99 kilometers of thread.