Step-by-step explanation:
3(3a+4b)+4(2a-5b)
=9a+12b+8a-20b
=17a-8b
What is the volume of the figure?
9514 1404 393
Answer:
C. 205.3 units²
Step-by-step explanation:
The volume of the figure is the sum of the volumes of ...
1/2 sphere of radius 2
cylinder of radius 2 and length 12
cone of radius 2 and length 9
The formulas for the volumes of a sphere, cylinder, and cone are ...
V = 4/3πr³ . . . sphere
V = πr²h . . . . cylinder
V = 1/3πr²h . . . cone
Then the sum of the volumes is ...
1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'
where h is the cylinder height and h' is the cone height
= πr²(2/3r + h + 1/3h')
= π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507
The volume of the figure is about 205.3 units³.
help me plzz pllz help now im on a time line
Answer:
Oki, mizuki here to help!
Hi there user, looks like you need help!
Anyways, option B is the correct answer!
Step-by-step explanation:
How to find average speed: distance/time
Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!
Hope this helped!
Step-by-step explanation:
we know that
Speed = Distance/ Time
so the correct answer is B
Convert the decimal, 2.55, into an improper fraction
Answer:2.55 in fraction form is 51/20.
Step-by-step explanation:
does anyone understand this?
Answer:
Hello! answer: 80
Step-by-step explanation:
When doing the Pythagorean theorem you do...
a^2+b^2=c^2 which is just A multiplied byitself + B multiplied byitself that will equal the number that C multiplied by itself would equal then you just figure out what multiplied byitself equals that number and thats the answer so...
64 × 64 = 4096 48 × 48 = 2304
4096 + 2304 = 6400 80 × 80 = 6400 therefore c = 80 hope that helps!
Answer:
c = 80 inches
Step-by-step explanation:
The length of the hypotenuse can be found by using the following formula in which "c" is the length of the hypotenuse, and "a" and "b" are the legs of the right angles triangle.
[tex]c = \sqrt{a^{2} + b^{2} }[/tex]
[tex]c= \sqrt{64^{2} + 48^{2} } \\c= \sqrt{4096 + 2304} \\c = \sqrt{6400} \\c = 80 inches[/tex]
Amanda bought 2 CDs that were each the same price. Including sales tax, she paid a total of $29.80. Each CD had a tax of $1.10 . What was the price of each CD before tax?
brainliest
Answer:
13.80 there you go buddy
Find the line of inclination of the line if its slope is -√3
Answer:
120° or 300°
Step-by-step explanation:
Given,
Slope (m) = -√3
Inclination (α) = ?
Now,
We know,
m = tanα
or, -√3 = tanα
or, tan(120° or 300°) = tanα
∴ α = 120° or 300°
∴ Inclination is 120° or 300°
which ordered pair is a solution of the equation
Answer:
A
Step-by-step explanation:
y - 3 = 5(x - 2)
y - 3 = 5x - 10 Add 3 to both sides
y = 5x - 7
Let x = 2
y = 5*2 - 7
y = 3
So (2,3) works
Let x = 3
y = 5*3 - 7
y = 15 -7
y = 8
The answer is A
a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings
The length of a chord which is 24cm from the Centre is: 14 cm
How to find the length of the chord?Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:
R = √[(30/2)² + 20²]
R = √(15² + 20²)
R = √625
R = 25 cm
The length L of the another chord is calculated as:
L/2 = √(R² - 24²)
L/2 = √(25² - 24²)
L/2 = √49
L/2 = 7
L = 14 cm
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Find two numbers that multiply to be -18 and add up to be -7
list power power set of a:{1,2}
Answer:
Number of elements in set = n(B) = 3 . Therefore, Number of elements in power set = 2^n(B) = 2^3 = 8 . Hope helped!
Step-by-step explanation:
Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?
Answer:
You sold 6 cherry pies and 14 apple pies.
Step-by-step explanation:
It's a system of equations problem.
12C + 9A = 198
A + C = 20
A = 20 - C
12C + 9(20 - C) = 198
12C + 180 - 9C = 198
3C + 180 = 198
3C = 18
C = 6
A + 6 = 20
A = 14
Answer:
Cherry Pie=$12 per 1
Apple pie= $9 per 1
Let x represent number of Cherry Pies sold.
let y represent number of Apple pie sold
x + y = 20---------------1
12x + 9y = 198---------2
From eqn 1
x=20-y
Substitute into eqn 2
12x + 9y = 198
12(20-y) + 9y=198
240 - 12y + 9y = 198
240 - 3y =198
3y = 240 - 198
3y=42
y=14.
x + y =20
x + 14=20
x=20-14
x=6.
So...
Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES
A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters.
What is the
volume of the cone?
75.62 cubic cm
713.21 cubic cm
237374 cubic cm
2,571.14 cubic cm
Which equation is equivalent to 6 (y+ 3) — 3 (у — 2) = 18?
A) 6у +3 — 3у – 2 = 18
B) 6у +3 + 3y – 2 = 18
C) 6y+ 18 — 3 — 6 = 18
D) 6y+ 18 — 3y + 6 = 18
Answer:
the answer is D
............
Answer:
The answer is (D)
Step-by-step explanation:
[tex]6(y + 3) - 3(y - 2) = 18 \\ 6y + 18 - 3y + 6 = 18 \\ [/tex]
Which phrase represents the algebraic expression for r + 12?
A. The difference of a number and twelve.
B. The product of a number and twelve.
C. The quotient of a number and twelve.
D. The sum of a number and twelve.
Answer: D) The sum of a number and twelve
==================================================
Explanation:
r = an unknown number
r+12 = sum of the unknown number and 12
The term "sum" refers specifically to the result of an addition problem.
As another example, saying 2+3 = 5 has a sum of 5.
The following are the ages of the children in your neighborhood playschool. 1, 5, 4, 8, 2, 5, 10
1. What is the MEAN age of the children in your neighborhood playschool?
Answer:
Hi there, the correct answer should be...
The mean age of the children is 5.
Step-by-step explanation:
mean:average
1 + 5 + 4 + 8 + 2 + 5 + 10 = 35
35 ÷ 7 = 5
The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games
Answer:
4
Step-by-step explanation:
3+7+2
12
12/3
4
the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.
Answer:
16 hours
Step-by-step explanation:
120/4 = 30 miles per hour
480/30 = 16 hours
Erika's first and second quarter grades are shown below. What grade does she need in
math in order to have an overall average equivalent to the first quarter? Write your answer
in the box.
Answer:
She would need an 83 in math if she wants to have an overall average equivalent to the first quarter . Tell me if im wrong
Step-by-step explanation:
A runner runs a distance of 640 metres in a time of 80 seconds.
What is his average speed?
Answer:
8 meters per second
Step-by-step explanation:
We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).
Answer:
8m/s
Step-by-step explanation:
Speed is equal the distance upon time.
640/80
so speed is equal to 8m/s
PLEASE HELP WITH STEPS SOLVE IN SCIENTIFIC NOTATION WILL GIVE BRAINLIEST
Answer:
use this <3 (helps calculate scientific notation) https://www.calculatorsoup.com/calculators/math/scientific-notation-converter.php
Step-by-step explanation:
Aline read a report saying 39% of teachers in the United State were members of a labor union. She wants to test whether this holds true for teachers in her state, so she is going to take a random sample of teachers and see what percent of them are members of a union. Let p represent the proportion of teachers in her state that are members of a union. Write an appropriate set of hypotheses for her significance test.
Answer:
H0: p= 0.39 vs Ha: p ≠ 0.39
Step-by-step explanation:
She wants to test whether this holds true for teachers in her state.
The test is the formulated into the hypotheses.
The null hypothesis would be
H0: p= 0.39 against the claim Ha: p ≠ 0.39
The null hypothesis tells that the the proportion of teachers in her state that are members of a union is equal to the proportion of teachers in the US that are members of the labor union.
against the claim
That the the proportion of teachers in her state that are members of a union is not equal to the proportion of teachers in the US that are members of the labor union.
(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
24 is a common multiple so ill just use that as a denominator:
3/8 = 9/24
1/3 = 8/24
1/4 = 6/24
so then adding those up:
[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]
then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
Let x be the part of the book he read on fourth day.
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]
[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]
7 1/2 divided by 3/4 =
Answer:
10
Step-by-step explanation:
[tex]7 \frac{1}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \div \frac{3}{4} \\ [/tex]
[tex] \frac{15}{2} \times \frac{4}{3} \\ [/tex]
[tex] \frac{60}{6} = 10 \\ [/tex]
25% of all the cakes a baker makes are fruit cakes. The baker made 5 fruit cakes. What is the total number of cakes the baker made?
Answer:
so here 25%=5
25×2=50, 5×2=10
50%=10
50%+50%=10+10
100%=20
baker makes total 20 cakes
If the cylinder above is similar to a second cylinder that has a radius of 10mm, what is the height of the second cylinder
Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
[tex]R = 15mm[/tex]
[tex]H = 45mm[/tex]
Cylinder 2
[tex]r = 10mm[/tex]
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
[tex]R : H = r : h[/tex]
This gives:
[tex]15 : 45 = 10 : h[/tex]
Express as fraction
[tex]\frac{15 }{ 45 }= \frac{10 }{ h}[/tex]
Simplify
[tex]\frac{1 }{ 3}= \frac{10 }{ h}[/tex]
Cross multiply
[tex]h *1 = 3 * 10[/tex]
[tex]h = 30[/tex]
does anyone have flvs geometry?
Answer:
Step-by-step explanation: I don't
Answer:
yes
Step-by-step explanation:
I do
What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft
Given:
The diameter of a circle = 20 feet
To find:
The exact circumference of the circle.
Solution:
We know that the radius is half of the diameter of the circle.
The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.
The circumference of the circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
Substituting [tex]\pi = 3.14, r=10[/tex], we get
[tex]C=2(3.14)(10)[/tex]
[tex]C=(6.28)(10)[/tex]
[tex]C=62.8[/tex]
Therefore, the exact circumference of the circle is 62.8 feet.
Note: All options are incorrect.
How many sides does a regular polygon have if each of its interior angles is 165 degree.
This is for math pls help I need this done
Answer:
its upside down turn it around
Step-by-step explanation:
out of 2 billion person trips, 75 percent were leisure travel. what was the number of person trips for leisure travel?
The number of personal trips for leisure travel will be equal to 1.5 billion.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that out of 2 billion person trips, 75 per cent were leisure travel.
The number of the person trips will be calculated as,
N = ( 2 x 75 ) / 100
N = 150 / 100
N = 1.5 Billion
Therefore, the number of personal trips for leisure travel will be equal to 1.5 billion.
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