Answer:
404.09x cm³ (to 5 s.f.),
where x is the unknown height of the shape.
Step-by-step explanation:
Volume of the shape
= base area × height
= (large semicircle- small semicircle) × thickness of shape
Area of circle= \(\pi {r}^{2} \)
Area of semicircle= \( \frac{1}{2} (\pi)( {r}^{2} )\)
Diameter of small circle= 14
Radius= diameter ÷2
radius= 14 ÷2
radius = 7 cm
Area of small semicircle
\( = \frac{1}{2} (\pi)( {7}^{2} ) \\ = \frac{49}{2} \pi\)
Radius of large semicircle
= 35 ÷2
= 17.5 cm
Area of large semicircle
\( = \frac{1}{2} (\pi)( {17.5}^{2} ) \\ = \frac{1225}{8} \pi\)
Base area of shape
\( = \frac{1225}{8}\pi - \frac{49}{2} \pi \\ = \frac{1029}{8} \pi\)
Since the height if the shape is not given, I'm afraid I cant help you find the volume.
Let the height of the shape be x cm.
Volume of shape= \( \frac{1029x}{8} \pi \: cm^{3} \)
Ruth's dining room is 6 yards wide and 9 yards long. Ruth wants to install a new wood floor. It will cost $8.00 per square yard. How much will Ruth's new floor cost?
Ruth’s new floor cost $432.
The cost can be calculated as follows.
First, calculate the area of dining room. Use the formula of rectangle area (width x length)
Area = width x length
= 6 yd x 9 yd
= 54 sq yd
Second, calculate the total cost.
Cost = 54 sq yd x $ 8 per sq yd
= $ 432
Hence it cost $ 432 to install the new wood floor.
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Answer:
$432
Step-by-step explanation:
1. Find the area of the dining room. The equation for finding the area is Length x Width = Area, so, 9x6=54 square yards.
2. Then, since each square yard is $8.00, multiply 54 and 8 to get $432.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Please if you do both I will give brainiest (to the first one to answer)
Answer:
Answer to first:
Yes, x is a rational number.Yes, y is a rational number.Y is largerAnswer to second:
I know that -3.4 is a rational number because it is an integer or decimal not equal to zero.
Step-by-step explanation:
Explanations to first:
0.147 is rational because you can write it out.0.147 bar is rational because it can be written as a fraction.Y is larger because the numbers keep repeating, so it has a larger value than 0.147.giving brainliest for whoever has the most descriptive answer and reasoning for this question. (+five stars)
Answer:
All properties that were used to simplify the following problem:
1. commutative property of multiplication
2. multiplicative inverse 3. multiplicative identity
What is commutative property of addition?
The commutative property states that an expression of the form (A + B) can be solved as (B + A) by an addition operation that does not change the end result.
The commutative property of addition says that it doesn't matter how we add two numbers, the result of the addition would be same.
For two numbers x and y, we have: x + y = y + x
Thus, if we take 3 numbers as a,b and c;
a + b + c = b + a + c = b + c + a = a + c + b = c + a + b = c + b + a
We have been given an expression;
2/7 • 53 • 7/2
53 • 2/7 • 7/2
53 • 1
53
Then all properties that were used to simplify the following problem:
1. commutative property of multiplication
2. multiplicative inverse
3. multiplicative identity
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Answer:
b
Step-by-step explanation:
I think I remember how to do this I don’t know but yes it’s is b
There are three apple orchards. Each orchard has a different number of trees and apples.
Orchard Apple Trees Total Apples
----------------------------------------------------------------
The #1 Seed 84 38,614
Sweet and Sour 178 75,509
Apple Valley 312 135,220
-----------------------------------------------------------------
Which orchard has the highest rate of apples per tree?
Choose 1 answer:
A) The #1 Seed
B) Sweet and Sour
C) Apple Valley
Answer:sweet and sour is write answer
Step-by-step explanation:
can i get brainlisted
Answer:
The #1 Seed has the highest rate of apples per tree.
Step-by-step explanation:
For each orchard, dividing the total apples by the number of apple trees will give us the number of apples per tree.
For example:
jefferson received a star wars X-wing lego set for christmas . The equation y-55=-22(x-12) represents y as a function of x , where y is the number of lego pecies jefferson has left to build and x is the number of minutes he has been building , Use this information to mark a-c as true or false . If false , rewrite the statemnt completely
By solving the equation y-555 = -22(0-12), we got that statements
(a) True
(b)False
(c) True
What is an linear equation in two variable ?An linear equation in two variable is an statement that compares two linear expression in two variables using equal to sign.
Let x and y be two variables then the linear equation in these two variable in standard form is ax+ by+ c = 0 , where a, b, c are constants.
Given, the equation y-555 = -22(x-12) represents y as a function of x , where y is the number of Lego pieces Jefferson has left to build and x is the number of minutes he has been building. When x = 0 means that Jefferson has not started building the Lego therefore y = all Lego pieces
y-555 = -22(0-12)
⇒y -555 = 22*12
⇒ y = 555 +264 = 819
It means that total Lego pieces were 819 not 555
Therefore, (b) statement is false.
Simplify: y-555 = -22(x-12)
⇒ y-555 = -22x + (22*12)
⇒ y- 555 = -22x +264
⇒ y = - 22x +264 +555
⇒ y = -22x +819
Therefore , this situation can be represented by y = -22x +819
Thus , (c) statement is true
Also, from this relation ship we can see that initially there were 819 Lego pieces and when x =1 , y = 819 -22, when x=2 then y =819 - 2(22)
and so on .This means that every minute Jefferson removes 22 Lego pieces from box to assemble X- wing.
Thus (a) is an true statement.
Therefore, by solving the equation y-555 = -22(0-12), we got that statement (a) and (c) are true and (b) is false.
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The complete question can be found below:
Jefferson received a Star Wars X-Wing Lego set for Christmas. The equation y -555 = -22(x-12) represents y as a function of x, where y is the number of Lego pieces Jefferson has left to build and x is the number of minutes he has been building. Use this information to mark a-c as true or false. If false, rewrite the statement correctly. _
a. Jefferson removes 22 Lego pieces a minute from the box to assemble the X-Wing. _
b. The Lego set contains 555 pieces.
c. This situation can be represented with the equation y = -22x +819
The ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1.
Complete the table.
Perimeter of hexagon (inches) 6 30 48
Side length of hexagon (inches) 1
9
Answer:
45
Step-by-step explanation:
6+30+48-1-9=45
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500
Marcus needs 12 cups of edible flowers to make the breakfast mixture to feed the zoo's emperor tamarin monkey troop for the week. The number of cups of edible flowers the zoo has in storage is represented by the expression 1.875c−(c+0.5d). If c=25 and d=20, does Marcus have enough edible flowers to make the breakfast mixture for the emperor tamarin monkeys?
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
No, because 1.875(25)−((25)+0.5(25))=9.375, which is less than 12.
No, because 1.875(20)−((25)+0.5(20))=2.5, which is less than 12.
No, because 1.875(20)−((20)+0.5(25))=5, which is less than 12.
Answer:
No, because 1.875(25)-((25)+0.5(20))=11.875, which is less than 12.
Step-by-step explanation:
c = 25 d = 20
1.875(25) - (25+0.5*20) =
46.875 - 35 =
11.875
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
Fastest answer gets brainliest answer!
Leon is scuba diving at an elevation of −72
feet when his friend signals to come higher to see a sea turtle. Leon makes 3 ascents, each an equal distance, to reach an elevation of −18
feet, where the sea turtle is located.
What was Leon's elevation after his second ascent?
Answer: -36 feet
Step-by-step explanation:
72-18 = 54 feet ascended
54 feet / 3 ascents = 18 feet per ascent
18 feet * 2 ascents = 36 feet
-72+ 36 = -36 feet
Cylinder A has a radius of 6 feet and a height that is 5.5 feet less than Cylinder B. Cylinder B's radius is 4 feet. The cylinders have the same surface area. Find the height of each cylinder.
Answer:
you need a radius to be able to finish the question "what is the radius of b" !!
Step-by-step explanation:
The height of cylinders A and B will be 11 feet and 16.5 feet.
What is the surface area of a right circular cylinder?Let r be the radius and h be the height of the cylinder.
Then the surface area of the cylinder will be
SA = 2πrh square units
Cylinder A has a radius of 6 feet and a height that is 5.5 feet less than Cylinder B. Cylinder B's radius is 4 feet.
\(\rm r_A = 6 \ feet\\\\\rm h_B = 5.5 + h_A \\\\ r_B = 4 \ feet\)
The surface area of cylinder A will be
SA = 2π × 6 × \(\rm h_A\)
The surface area of cylinder B will be
SA = 2π × 4 × \(\rm h_B\)
The cylinders have the same surface area. Then we have
2π × 4 × \(\rm h_B\) = 2π × 6 × \(\rm h_A\)
\(\rm 4 (5.5 + h_A ) = 6 h_A \\\\2h_A = 22\\\\h_A = 11\)
Then the height of the cylinder B will be
\(\rm h_B = 5.5 + h_A \\\\h_B = 5.5 + 11\\\\h_B = 16.5\)
The height of cylinders A and B will be 11 feet and 16.5 feet.
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helpme with this plsss
Answer:
7x + 96 = 180
Step-by-step explanation:
We are given that the right side of the equation should be 180 because that is equal to the sum of the triangle's interior angle measures.
We can solve for the left side by adding the triangle's interior angle measures.
(2x + 1) + (5x + 5) + 90
Remember that a right angle is 90°.
All we need to do from here is combine like terms:
= (2x + 5x) + (1 + 5 + 90)
= 7x + 96
So, the equation that represents the model is:
7x + 96 = 180
Answer:
C) 7x + 96° = 180
Step-by-step explanation:
their is one right angle and 2 equations. The sum of the interior angle is 180
90° + 2x + 1 + 5x + 5 = 180
Combine like terms
90 + 1 + 5 = 96
2x + 5x = 7x
7x + 96° = 180
Jacob has driven 204 miles in three hours. If his speed remains constant, what will be the total number of miles covered in 4 1/2 hours?
Responses
306 miles
102 miles
918 miles
272 miles
Julie is painting a mural on a rectangular wall in her school. The wall is 20.5
feet long and 10
feet wide. So far, her mural covers 20%
of the wall. She will paint the remaining part of the wall over the next four days. She will paint the same amount of the wall on each of those four days.
How much of the wall, in square feet, will Julie paint on each of the next four days?
Enter your answer in the space provided.
the wall she's using for the mural is (20.5)(10) = 205 ft², so far she has done 20% of that, well, she still has 100% - 20% = 80% to go on the next four days, so on the next four days she'll be doing 80% of 205 ft².
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 205}}{\left( \cfrac{80}{100} \right)205}\implies 164~ft^2\)
3x-4 1/2= 19 1/2
find what x=
Answer:
3x - 4 1/2 = 19 1/2
Step-by-step explanation:
4 1/2 + 19 1/2 = 3x
24 = 3x
x = 24 ÷ 3
x = 8
please thank my answer and mark me brainliest
whice model represent cutting 40% of the ribbion
Answer: Model B
Step-by-step explanation: Model B, shows the cutting of 40% of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.
What percentage is 2/3 + 1/5?
Answer:
86.67%
Step-by-step explanation:
2/3 + 1/5
First, find the lowest common denominator
15
2x5 = 10
1 x 3 = 3
10 + 3 = 13
13/15 = 0.8667
As a percent that would be 86.67%
Percentage of 2/3 + 1/5 is 86.666%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given expression
\(\frac{2}{3}+\frac{1}{5}\)
= \(0.66666+\frac{1}{5}\)
= \(0.66666\times\frac{100}{100} +\frac{1}{5}\)
= \(\frac{0.66666\times100}{100}+\frac{1}{5}\)
= \(\frac{66.666}{100} +\frac{1}{5}\)
= \(66.666\% + \frac{1}{5}\)
= \(66.666\%+\frac{1}{5} \times\frac{20}{20}\)
= \(66.666\%+\frac{20}{100}\)
= \(66.666\%+20\%\)
= \(86.666\%\)
Hence, the percentage of 2/3 + 1/5 is 86.666%.
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HELP PLEASE!!!!!!!!!!!!!!!!!!!! I NEED IT ASAP!!!!!!!!!
HELP FAST. I WILL GIVE BRAINLIEST
On a certain hot summer's day, 540 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $822.75. How many children and how many adults swam at the public pool that day?
There are 5 girls in a class of 14 students what is the ratio of boys ?
HELP ASAPP
LEASE NEED THE ANSWER NOW Pleasee
Answer:
9:14
Step-by-step explanation:
If the ratio of girls to students is 5:14, that means there are 9 boys for every 5 girls. Therefore, the ratio of boys to students is 9:14.
Answer:
9
Step-by-step explanation:
Girls = 5 out of 14
So, ratio of girls to total strength is 5:14
Boys = 14-5 = 9 boys
So, ratio of boys to total strength is 9:14
Ratio of boys is 9
Hope it helped. Pls mark me the BRAINLIEST!
A quarter back is sacked for a loss of 4 yards. On the next play his team loses 10 yards. Then the team gains 12 yards on the third play. Write an addition expression to represent this situation. Then find the sum and explain its meaning.
Answer:
see below
Step-by-step explanation:
loss of 4 yards
-4
loses 10 yards.
-10
gains 12 yards
+12
The expression for the three plays
-4 +(-10) + 12
The sum is
-2
The team needs to gain 10 yards to make a first down and instead they lost 2 yds
The base of the pyramid below is a square that has an area of 64 square inches.
Suppose that the pyramid is sliced so that the cross-section is a square with an area of 49 square inches.
How can you slice the pyramid to get that square?
Answer:
If you sliced the pyramid parallel to the base, the cross-section would be shaped like a square
Answer:
Slice it parallel to the base
Step-by-step explanation:
3x=6 ??????????????????????????
Answer:
x = 2
Step-by-step explanation:
3x = 6 [given]
3x(/3) = 6(/3) [divide both sides by 3 to have x by itself]
x = 2 [solution]
Answer:
2
Step-by-step explanation:
\(3x=6\\x=\frac{6}{3} \\\\=2\)
In the given equation, a, b and c are nonzero rational numbers.
a times b = c
Given this equation, enter one number from the choices below into each box to complete four true equations.
DRAG & DROP THE ANSWER
A. c
B. −c
C. −b
D. −a
E. a
F. b
(image below)
Answer:
1. -A * -B = C
2. A * -B = -C
3. -C -:- -B = A
4. -C -:- B = -A
Step-by-step explanation:
Here ya go, hope this helps!
Is there any combination of education and post-graduation? Write the five basic objectives of education
Answer:
3
Step-by-step explanation:
Actually 'post-graduation' is a type of education. Education only means learning, so post graduation is a type of education.
OBJECTIVES OF EDUCATION:
Usually an educational objective relates to gaining an ability, a skill, some knowledge, a new attitude etc. rather than having merely completed a given task.
Pls answer this for me
PLEASE HELP ME ASAP find the unit rate per each
unit rate always equals k=y per x y/x
Answer:
Hello friend!
Step-by-step explanation:
What i did to get these answers is divide the total cost by the # of tickets
For lakers is 33! $33 dollars for 7 tix :)
forr knicks is 39! $39 dollars for 2 tix!
Sorry if im wrong :( Hope i helped ya
Add the expressions.
the quantity negative 7 minus one eighth times p end quantity plus the quantity three fourths times p minus 5 end quantity
negative 5 over 12 times p plus negative 2
5 over 8 times p minus 12
7 over 16 times p minus 2
7 over 8 times p plus negative 12
Answer:
c
Step-by-step explanation:
I Hate Math and Cant really understand it so..