Answer:
[tex]440 = 2\pi {r}^{2} + 2\pi(r)10 \\ [/tex]
[tex]3960 = 2\pi {r}^{2} + 2\pi(r)h[/tex]
[tex] \frac{3960 = 2\pi {r}^{2} + 2\pi(r)h}{440 = 2\pi {r }^{2} + 2\pi(r)10 } [/tex]
[tex]9 = \frac{h}{10} [/tex]
h=90
The height of the cylinder B is 30 cm.
Given that:
Both cylinders A and B are similar. Similarity applies proportionate size which means we have
height of cylinder A : radius of cylinder A :: height of cylinder B: radius of cylinder B
or symbolically we have:
[tex]$\frac{h_1}{r_1} = \frac{h_2}{r_2}$\\[/tex]
or we can say we have:
[tex]r_2 = h_2\times\dfrac{r_1}{h_1} \\[/tex]
Now it is given that Cylinder A's height [tex]h_1[/tex] is 10 cm and surface area is [tex]400\rm \;cm^2[/tex]
Thus from the formula of surface area of cylinder , we have below equation for cylinder A:
[tex]2\pi \times r_1 \times 10 = 440\\or\\r_1 = \dfrac{440}{20\pi}\\\\r_1 \approx 7 \rm\: cm\\\\\\[/tex]
Also given surface area of cylinder B is 3960 [tex]\rm cm^2[/tex], thus:
[tex]2\times \pi\times r_2 \times h_2 = 3960\\\\\2\times\pi\times (h_2\times\dfrac{r_1}{h_1})\times h_2= 3960\\\\2\times\pi\times (h_2\times\dfrac{7}{10})\times h_2 = 3960\\or\\ (h_2)^2 = \dfrac{39600}{2\times\pi\times7}\\\\or\\h_2 = 30 \rm \;cm.[/tex]
Thus height of the cylinder B is 30 cm.
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Jared makes $990 per week at his job. He is asking to have his pay increased by $110 per week. If he gets the pay increase, what will his weekly pay be?
Answer:
$1100 per week
Step-by-step explanation:
Amount made per week = $990
Increase amount per week = $110
Unknown:
What will be his weekly pay per week = ?
Solution:
His weekly pay per week will be = amount made per week + Increase
= $990 + $110
= $1100
He now makes $1100 per week.
how do you add two areas together
Answer:
You would just add them like normal
Step-by-step explanation:
Use the given line and the point not on the line to
answer the question,
What is the point on the line perpendicular to the given
line, passing through the given point that is also on the
y-axis?
O (-3.6,0)
O (-2, 0)
O (0, -3,6)
O (0, -2)
Answer:
It's the third one, (0,-3.6)
Step-by-step explanation:
Will hand out brainliest to the best answer! (+100 pts)
Answer:
6
Step-by-step explanation:
If the x is 2 in f(x) the answer should be 6 according to your table.
Answer:
6
Step-by-step explanation:
if the X is to in f(x) answerr will be 6 according to your table
A department store purchases screen-printed t-shirts at a cost of $5 per shirt. They mark up the price 150% (making the selling price 250% of the store's purchase price) and put them on the sales floor. Every month that a t-shirt doesn't sell, the store reduces the selling price by 25%.Which expression shows the selling price after one monthly price reduction?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Cost price = $5 per T - shirt
Markup = 150% or cost price
Every month which shirt doesn't sell, selling price drops by 25%
Selling price of Tshirt = (150% * $5) = $7.5
Price after 1 month = (100% - 25%) * $7.5 = $5.625
Hence, the equation could be expressed as :
Price after one month:
(1.5 * $5) - 0.75 * (1.5 * $5)
7.5 - 0.75(7.5)
Answer:
($5)(2.50) – ($5)(2.50)(0.25)
Write the sentence as an inequality.
10 times a number x plus 6 is no less than 42.
Answer:
10x + 6 ≥ 42
Step-by-step explanation:
Which group of numbers is ordered from least to greatest?
A. 4/5,−0.9,−3
B. −3,−0.9,4/5
C. −0.9,4/5,−3
D. 4/5,−3,−0.9
Answer:
You can exempt a A, C, and D because the greatest number out of the group is 4/5 which means 4/5 should be at the end of the list since it's going for least to greatest.
B is the answer
A cone has a diameter of 6 inches and a height of 8 inches. Find the volume of the both in terms of π and using 3.14 for π.
Answer
1- 61.95
2- 82.6
Step-by-step explanation:
V=πr2h divided by 3
Look at image Please help I’m struggling
Answer:
.75 per 1 apple
Step-by-step explanation:
A unit rate has only 1 of the item in the denominator
12 apples and 4 apples are not 1 of the item
$.75/ 1 apple is a unit rate
DOES ANYONE KNOW THE ANSWER TO THIS???
answer this please :(
If you answer I will give brainliest.
How many km did a bird travel if it flew at a speed of 55 km/hr for 35 hours? *
A 1.6 km
B 0.6 km
C 18.3 km
D 1,925 km
D. 1,925 km
Multiply 55 with 35 --> 1,925 km/35hrs
Answer:
D
Step-by-step explanation:
55*35=1925
y’all tryna help me :/
Answer:
4.12
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
-64 -64
a^2 = 17
square root of 17 = 4.12310
round to the nearest hundredth 4.12
On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.
Answer:
43
Step-by-step explanation:
Answer:
43 is what I would say
Step-by-step explanation:
step by step
Directions: Solve the problem Label your final answers. Show all work.
Tickets to the Haunted House are $6.50 for adults and $4.30 for children.
How much would it cost for two adults and four children?
How much change would you get if you pay for the tickets with a $50 bill?
Answer:
The total cost for two adults and four children is $30.2
The change that you would get if you pay for the tickets with a $50 bill is $19.2
Step-by-step explanation:
$6.5 * 2 adults = $13
$4.3 * 4 children = $17.2
$13 + $17.2 = $30.2
$50 - $30.2 = $19.8
Hope this helps and pls do mark me brainliest if you can:)
What is the least common multiple (LCM) of 5 and 20?
Answer:
5
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
One way to find the least common multiple of two numbers is to first list the prime factors of each number. Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
When you make a list it will look something like this::
5-5,10,15,20
20-20
Helppp asappp pleaseee. What is the slope of a line perpendicular to the line whose equation is
2x – y = -8. Fully reduce your answer.
Answer:
-1/2
Step-by-step explanation:
2x-y=-8 --> y=2x+8 (slope: 2)
to be perpendicular, the product of two slopes should be -1
thus, the slope of a line perpendicular to this one is -1/2
In a recent survey, 4 out of every 9 people surveyed said they did not like the movie. How many people would you expect to say they did not like the movie if 100 people were surveyed?
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the two days.
WILL GIVE BRAINIEST IF RIGHT :)
A three and one fourth + 2x ≤ 6
B three and one fourth + 2x ≥ 6
C three and one fourthx + 2 ≤ 6
D three and one fourthx + 2 ≥ 6
Answer:
option 2 is correct-three and one fourth + 2x ≥ 6.
I'm soooo freakin' bad at math bruh....someone please help :/
28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?
a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7
29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?
a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes
30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.
a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 3 to 5. If there were 4465 no votes, what was the total number of votes?
Answer:
2679 number of yes votes, 4465 number of yes votes. The total number of votes would be 7144. Hope this helps and if possible mark me as brainliest please. THANK YOU
x/8 -4 =7/16 x=
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
Exact form: x = [tex]\frac{-64}{5}[/tex]
Decimal form: x = -12.8
Mixed number form: x = -12[tex]\frac{4}{5}[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
x = - [tex]\frac{64}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x}{8}[/tex] - 4 = [tex]\frac{7}{16}[/tex] x ( multiply through by 16 to clear the fractions )
2x - 64 = 7x ( subtract 2x from both sides )
- 64 = 5x ( divide both sides by 5 )
- [tex]\frac{64}{5}[/tex] = x
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
Y = max + b what does b stand for
Answer:
b stands for the y-intercept
Step-by-step explanation:
I hope this helps you out! :-)
Answer:
B= y intercept
Step-by-step explanation:
Isabella owns a rectangular lot with an area of 9/32 SQAURE mile. If the length of the western side of her lot is 3/4 mile, what is the length of the northern side?
Answer:
as below
Step-by-step explanation:
9/32=3/4 * y/x
becasue this is multiplication of fractions , its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32
y=3
x=8
so the answer is 3/8 mile
The length of the northern side of a rectangular plot is 3/8 mile.
Here,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot = 3/4 mile.
We have to find the length of the northern side.
What is Area of rectangle?
The area of a rectangle is product of length and width.
Now,
Area of rectangular lot = 9/32 square mile.
Length of the western side of lot ( width ) = 3/4 mile.
Let the length of the northern side ( length ) = x mile
So,
Area of rectangle = length x width
[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]
Hence, The length of the northern side of a rectangular plot is 3/8 mile.
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If 2x = 10, find the value of 1 - 2x
Answer:
2x=10
divide by 2
x=5
1-2x
1-2(5)
1-10
answer is -9
Answer:
-9
Step-by-step explanation:
First solve the equation, 2x=10 to get the value of x
2x = 10
x = 10÷ 2
x= 5
now, put this value of x in the expression 1-2x
1 - 2x
= 1- 2(5)
= 1- 10
= -9
Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)
Answer:
1/3 of a pound .333
Step-by-step explanation:
6/2 =3
1/3= .333
Answer:
1/3 to 1 and 1 to 3
Step-by-step explanation:
(5x+2x^2-3)-(6+x^2-8x)
Answer:
13x + x^2 - 9
Step-by-step explanation:
You have to distribute then eliminate redundant parentheses then subtract the numbers then combine like terms then multiply by one then combine like terms and then the answer is 1 13x + x^2 - 9.
−15 ÷ 5 =
A number line going from negative 30 to positive 30. An arrow goes from 5 to 10, from 10 to 15, from 15 to 20.
Emily used the number line to find the quotient for -15 ÷ 5. What errors did she make? Select three correct answers.
The arrows should point in the negative direction.
The small arrows should end in the same place as the large one.
The arrows should end on negative 15.
The arrows should start at zero.
There should be 5 small arrows.
Answer:
-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3
Answer:
The answer is A,C,D
Step-by-step explanation:
Just had the question :D
Need help answering 25pts ?
Answer:jnvjdfsStep-by-step explanation:
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