8cm
20cm
What is the volume of this cylinder?
Answer:
4021.2386 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
What is the slope of a line perpendicular to the line whose equation is 4x – y = 9.
Fully reduce your answer.
Help
ANSWER: -1/4
EXPLANATION:
4x-y=9
y=4x-9
(so slope/gradient of this line is 4 as y= mx+c and the coefficient of x here is 4)
(formula for perpendicular slopes) m1 multiplied by m2 = -1, where m= gradient
So, m1 x 4= -1
m of perp line= -1/4
Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
$9000 principal earning 5% compounded annually, after 6 yr
Answer:
the answer is
$12,130.64
Complete 55%
Record: 1/5 Score: 1 Penalty: None
Tiana Lott
Write Single Inequality from Context
Jan 15, 11:07:31 AM
?
Michael has n nickels and d dimes. He has no more than 20 coins altogether. Write
this situation as an inequality.
Anstrer
Setomít. Arower
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attentiota
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Type here to search
what is 55 x 25 equaled to
Answer:
1375
Step-by-step explanation:
The product 55 x 25 equaled to 1375
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
55 x 25 is equal to 1,375.
To calculate this product, we can multiply the units digit (5) of the two numbers and write it as the units digit of the result.
Then, we multiply the tens digit (5) of 55 by 25 and add any carry-over from the previous step (0) to get the tens digit of the result.
55
x 25
----
1375
Hence, the product 55 x 25 equaled to 1375
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A. ( x + 5)
B. ( x - 5 )
C. ( x + 3 )
D. ( x - 3 )
Answer:
(x + 5) B. (x - 5) C. (x + 3) D. (x - 3) = = 0
Step-by-step explanation:
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
Rules for expressions with fractions:
Fractions - use the slash “/” between the numerator and denominator, i.e., for five-hundredths, enter 5/100. If you are using mixed numbers, be sure to leave a single space between the whole and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).
Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as the operator of division fractions i.e., 1/2 : 3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
The colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2
Tessa likes to carve bird and cat figures out of wood. She has carved 4 times as many bird figures as cat figures. If Tessa has carved 24 bird figures, how many figures has she carved altogether?
Tessa carved a total of 30 figures including bird and cat figures.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
let, The number of cat figures is 'x'.
Given, She has carved 4 times as many bird figures as cat figures.
Therefore, 4x = 24.
x = 24/4.
x = 6.
So, Tesaa carved 6 cat figures and hence she carved a total of
24 + 6 = 30 figures.
learn more about numerical expressions here :
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PLEASE HELP MEEEE!!!!!!!
Answer:
its a black picture...?
Step-by-step explanation:
Find the Values of y
Y ² = 169
Answer:
Y= 13,-13
Step-by-step explanation:
Shani borrowed $5000 at an annual interest rate of 4% compounded yearly. William borrowed the same amount of money at an annual interest rate of 6% compounded yearly. How much more interest will William pay than Shani at the end of 3 years?
Answer: William will pay $ 330.76 more interest than Shani at the end of 3 years.
Step-by-step explanation:
Compound interest = [tex]P((1+r)^t-1)[/tex] , P= principal , r= rate of interest , t= time
Given: P = $5000 , t= 3 years
For Shani , r= 4% = 0.04
Compound interest = [tex]5000((1+0.04)^3-1)[/tex]
[tex]=5000(1.124864-1)\\\\=5000(0.124864)\\\\=\$\ 624.32[/tex]
For William, r= 6%= 0.06
Compound interest = [tex]5000((1+0.06)^3-1)[/tex]
[tex]=5000(1.191016-1)\\\\=5000(0.191016)\\\\=\$\ 955.08[/tex]
Difference = $ ( 955.08- 624.32)
= $ 330.76
Hence, William will pay $ 330.76 more interest than Shani at the end of 3 years.
10. What is the value of xin the equation below?
4
2
+
7
2
Solve for the variable. You may use the hangers to help you.
40 = 2f + 12
f
f
40
12
Answer:
i don't know what the hangers are for but the calculation is given below
Step-by-step explanation:
40 = 2f + 12
40 - 12 = 2f
28 = 2f
28/2 = f
14 = f
therefore f = 14
2 1
3 4
- 그
Is this addition or division
To rent a certain meeting room, a college charges a reservation fee of $36 and an additional fee of $8.80 per hour. The history club wants to spend less than
$106.40 on renting the meeting room
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the maximum hours that they can rent it for is 8
Step-by-step explanation:
36 + 8.8t < 106.4
8.8t < 70.4
t < 8
3y+2x-4+5x+7
Simplify
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
Write the correct answer. Euros are currency used in several European countries. On one day in October 2005, you could exchange $3 for about 2.5 euros. How many dollars would you have needed to get 6 Euros?
Answer: 7.2 $ will be needed to get 6 Euros.
Step-by-step explanation:
Given : 3$ could be exchanged for 2.5 euros
That means :
To get 2.5 euros , dollars needed are = 3$
By using Unitary method:
To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $
To get 6 euros , dollars needed are = [tex]\frac{3}{2.5}\times 6=7.2[/tex] $
Thus 7.2 $ will be needed to get 6 Euros.
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
I WILL GIVE BRAINLY IF RIGHT Malia drew the hexagon below what is the measure of each angle of the hexagon
A. 60 degrees
B. 90 degrees
C. 120 degrees
D. 144 degrees
Answer:
120 Degrees
Step-by-step explanation:
A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.
pls help ill give BRAINLIEST pls just show work lol
Answer:
s=2
Step-by-step explanation:
Simplify both sides of the equation.
8s−10=3(6−2s)
8s+−10=(3)(6)+(3)(−2s)(Distribute)
8s+−10=18+−6s
8s−10=−6s+18
Add 6s to both sides.
8s−10+6s=−6s+18+6s
14s−10=18
Add 10 to both sides.
14s−10+10=18+10
14s=28
Divide both sides by 14.
14s/14=28/14
s=2
Alvin is 15 younger than elga the sum of their age is 27 what is elga age
Answer:
27 years old
Step-by-step explanation:
Let Alvin's age be x and Elga's age is y:
y - x = 15
x + y = 27
2y = 42 (use elimination method)
y = 21
x = 6 (plug it back into either equation)
Therefore Alvin is 6 and Elga is 27
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
PLEASE IT DUE IN 1 HR :(((((( During the month of February, Fabulous Feet Shoe Mart sold 30 pairs of red loafers. After an ad campaign to boost sales, they sold 39 pairs in March. Find the percent of increase in sales.
Answer:
9%
Step-by-step explanation:
i don't know if its right lmk
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Rewrite -3- (-4) as an addition equation. Your answer answer
Answer:
-3 + 4 = 1
Step-by-step explanation:
Minus with minus makes a positive.
Pls help and explain why!
Answer:
A, SSS
Step-by-step explanation:
the 3 sides are equal with the other triangle
Answer:
SSS
Step-by-step explanation:
The triangles have three of the same sides, so it would be SSS.
Hope this helps!
Please mark me brainliest if possible. :)
Debbie's town voted on a new speed limit. Out of 17 votes, 17 were in favor of the new speed limit. What percentage of the votes were in favor of the new speed limit?
Answer: The percentage of the votes were in favor of the new speed limit = 100%
Step-by-step explanation:
Given: Total votes = 17
Total votes favored the new speed limit = 17
The percentage of the votes were in favor of the new speed limit [tex]=\dfrac{\text{Number of votes in favor}}{\text{Total votes}}\times100\\\\=\dfrac{17}{17}\times100\%=100\%[/tex]
Hence, the percentage of the votes were in favor of the new speed limit = 100%
Find the slope of the line through each pair of points
(-20,-4), (-12,-10)
Answer:
is it just the slope of those points? if so -3/4
Step-by-step explanation:
i think. if not correct me
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The slope of a line is given by:
[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, the slope of the line that passes through these points is:
[tex]m=\frac{-10-(-4)}{-12-(-20)}=\frac{-6}{8}=\fbox{$-\frac{3}{4}$}[/tex].
A 50% DISCOUNT IF THE SWAETSHIRT COST $64.75, HOW MUCH DID ADAM PAY ROUNDED TO THE NEASRT HUNDERTHS