Solve the inequality and graph the solution. 2+4b≤10
Answer:
b≤2
Step-by-step explanation:
2+4b≤10
Subtract 2 from each side
2-2+4b≤10-2
4b≤8
Divide each side by 4
4b/4≤8/4
b≤2
A lampshade has a height of 12cm and upper and lower diameters of 10cm and 20cm A)what area of material is required to cover that curved surface of the frustum B)what is the volume of the frustum (Give both answers in terms of pie)
Answer:
[tex](a)\ Area = 195\pi[/tex]
[tex](b)\ Volume = 700\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 12[/tex]
[tex]d_1 = 10[/tex] --- lower diameter
[tex]d_2 = 20[/tex] --- upper diameter
Solving (a): The curved surface area
This is calculated as:
[tex]Area = \pi l(r_1 + r_2)[/tex]
Where
[tex]r_1 = 0.5 * d_1 = 0.5 * 10 = 5[/tex] --- lower radius
[tex]r_2 = 0.5 * d_2 = 0.5 * 20 = 10[/tex] --- upper radius
And
[tex]l = \sqrt{h^2 + (r_1 - r_2)^2[/tex] ---- l represents the slant height of the frustrum
[tex]l = \sqrt{12^2 + (5 - 10)^2[/tex]
[tex]l = \sqrt{12^2 + (-5)^2[/tex]
[tex]l = \sqrt{144 + 25[/tex]
[tex]l = \sqrt{169[/tex]
[tex]l = 13[/tex]
So, we have:
[tex]Area = \pi l(r_1 + r_2)[/tex]
[tex]Area = \pi * 13(5 + 10)[/tex]
[tex]Area = \pi * 13(15)[/tex]
[tex]Area = 195\pi[/tex]
Solving (b): The volume
This is calculated as:
[tex]Volume = \frac{1}{3}\pi * h * (r_1^2 + r_2^2 + (r_1 * r_2))[/tex]
This gives:
[tex]Volume = \frac{1}{3}\pi * 12 * (5^2 + 10^2 + (5 * 10))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (25 + 100 + (50))[/tex]
[tex]Volume = \frac{1}{3}\pi * 12 * (175)[/tex]
[tex]Volume = \pi *4 * 175[/tex]
[tex]Volume = 700\pi[/tex]
A bag contains 5 red marbles, 3 blue marbles and 6 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green?
Answer:
15/91
Step-by-step explanation:
P(G,G) = 6/14 x 5/13 = 15/91
Can someone help me with this question please?!
Answer:
H. $26
Step-by-step explanation:
$6.50 x 4 = 26. The cost is exact.
You have a piggy bank that contains 2 pennies, 4 nickels, 8 dimes, and 6 quarters. Find the probability of picking a coin worth more than 10 cents. .
Answer:
The probability is 3/10
Step-by-step explanation:
So a quarter is the only coin that’s worth more than 10¢ so 6/20 = 3/10
What is the sales tax of a $15.95 video game if the tax rate is 7%
Answer:
$17.07
Step-by-step explanation:
Step 1: Find the percent of the price
Convert 7% to fraction
[tex]= \frac{7}{100}\\\\=\frac{7}{100}\times \:15.95[/tex]
Multiply
[tex]=\frac{7\times \:15.95}{100}[/tex]
Multiply the factors
[tex]7\times \:15.95=111.65\\\\=\frac{111.65}{100}[/tex]
Divide
[tex]\frac{111.65}{100}=1.1165\\\\=1.1165[/tex]
Step 2: Add the percent off to the original price
[tex]15.95 + 1.1165\\\\= 17.0665[/tex]
Therefore, the total cost including tax in the nearest cent is 17.07 dollars
dont answer if u dont know please!!
Answer:
Step-by-step explanation:
Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio of the surface area of the small cylinder to the surface area of the large cylinder.
Answer:
4:25
Step-by-step explanation:
Given that,
r₁ = 15 inches, r₂ = 6 inches
The area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2[/tex]
The ratio of surface areas of two cylinders,
[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]
Hence, the required ratio is 4:25.
Select all of the statements that are true for the given parabola
Which fraction is
equivalent to 1/8
What about 2/16?
We can reduce 2/16 to 1/8.
I need help rn !! Please help me and explain
Answer:
A
Step-by-step explanation:
I=PRN
=4500×(4.75/100)×3
=$641.25
What is the answer Susie ,mark, same
Answer:
mark did cause it said mark rented his books everyday and it was represented on the table
Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feede
.
of the students would attend any of the dances held at the school
of the students would like to have pizza served at the dances
10 of the students would attend a square dance
• 64% of the students think that the dances should be held after football games
• 18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
А
The dances will be attended by around 700 of the students that attend the school.
B
Joseph should plan for around 560 students at each dance based on the data.
OOOO
С
Out of the 800 students, 288 do not like to attend dances after the football games.
D
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
Answer:
Step-by-step explanation:
its b
With the given volume of 294 π, what is the radius?
Hight given = 18
Answer:
[tex]\displaystyle r = 7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{\pi}{3} r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
V = 294π
h = 18
Step 2: Solve for r
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle 294 \pi = \frac{\pi}{3} r^2(18)[/tex]Multiply: [tex]\displaystyle 294 \pi = 6 \pi r^2[/tex][Division Property of Equality] Divide 6π on both sides: [tex]\displaystyle 49 = r^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle 7 = r[/tex]Rewrite: [tex]\displaystyle r = 7[/tex]A farmer has 200 feet of fencing to use for a chicken pen. He wants the width of the pen to be 27 feet. What will the length be?
Answer:
Length will be 173
Step-by-step explanation:
Isa finished 30% of his homework in 27 minutes. How many more minutes will it take Isa to complete his homework, assuming that he works at the same pace?
Answer:
90 Minutes
Step-by-step explanation:
If he took 27 minutes to do 30% of his homework, then we can reverse the operation to find the total amount
30% is the same as 0.3, therefore you divide 27 by 0.3 because the 100% is 1, so by dividing you'll get the 100%.
90 minutes
Step-by-step explanation:
So 27 = 30%
30% + 30% + 30% = 90%
27 + 27 + 27 = 81
30% ÷ 3 = 10%
27 ÷ 3 = 9
90% + 10% = 100%
81 + 9 = 90
I'm sorry if this is wrong I got kind of confused for a second. But I hope this at least helps.-Finny
[tex]5x + 15 = 10x[/tex]
what is the value of x?
Answer:
x = 3
Step-by-step explanation:
5x + 15 = 10x
-5x -5x
15 = 5x
/5 /5
3 = x
ASAP!!!!
In a class of 30 students, 17 have a brother and 14 have a sister. There are 8 students who have a brother and a sister. What is the probability that a student chosen randomly from the class does not have a brother?
Answer:
[tex]\frac{14}{30} = 7/15[/tex]
The probability that a randomly selected student has a brother given they have a sister is 11/30.
We have given that,
Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.
What is the formula for probability?The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.
Since there are 30 students in total, and 11 of them have both a brother and a sister,
Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.
To learn more about the probability visit:
https://brainly.com/question/24756209
#SPJ2
PLEASE HELPPPP THE DROP DOWN MENUES ARE ALL THE SAME
Answer:
a) distributive property
b) combining like terms
c) commutative property of addition
Help out please and thank you
Answer:
y=-1/4x+1
Step-by-step explanation:
Hi there!
We're given the point (-8,3) and a slope of -1/4
lines are typically written in the formula y=mx+b, where m is the slope and b is the y intercept
as we are already given the slope, we can substitute its value into the equation
substitute -1/4 as m
y=-1/4x+b
now we need to find b
as the equation passes through the point (-8,3),we can use it to solve for b
substitute -8 as x and 3 as y
3=-1/4(-8)+b
multiply
3=2+b
subtract 2 from both sides
1=b
substitute 1 as b
y=-1/4x+1
I need the answer pls Immediately!!!!!!!
Answer:
Equation: y = 5x - 2
Step-by-step explanation:
Slope = Change in y / Change in x
Change in y = +5
Change in x = +1
Slope = 5/1 or 5
Y-intercept = y-value where x = 0
x = 0, y = 3-5
y = -2
y-intercept = -2
Finally;
Equation: y = 5x - 2
Hope this helps!
Answer:
y = 5x - 2
Step-by-step explanation:
(1,3) (2,8)
y2 - y1 / x2 - x1
8 - 3 / 2 - 1
5
y = 5x + b
3 = 5(1) + b
3 = 5 + b
-2 = b
Whoever answers correctly gets brainliest also write the numbers down
Answer:
Jacob
Brennan
Adrienne
Valerie
Step-by-step explanation:
Positive and nonlinear follows the first one so that's Jacob's
clustering is in the fourth one so that's Valerie's
2 and 3 have an outlier so look at next one
negative and linear is the third one so that is Adrienne's and the second one is Brennan's
Help??????????????????
Answer:
40
Step-by-step explanation:
52= 1/2(64 + x)
52 = 32 + 0.5x
52-32= 32-32 + .5x
20=.5x
Divide both sides by .5x
X = 40.
What is the radius?
Find the length of the radius of the circle with an equation of
(x + 3)2 + (y-7)2 = 289.
Answer:
Radius = 17.
Step-by-step explanation:
If(h,k) is centre and rradius, the eqn. of circle is :(−x h)2+(y−k)2=r2
Comparing with the given eqn. of circle, we find, r2=289 Hence, radius is 17
someone pls help me solve this
2(10) + 2(x-4)
I need help immediately!!!!!!!
Answer:
y = -2/3x - 5
Step-by-step explanation:
It takes 1/4 of an hour to mow 1/5 of his yard. How much of the yard can he mow per hour
Answer:
4/5
Step-by-step explanation:
if it take 1/4 of an hour to mow 1/5 of his yard.
First you have to find out what is 1/4 of an hour which in order to find you have to multiply 1/4 by 60 because it has 60 mins in an hour. You now have 15 mins and we already know there are 60 mins so we divide 60 by 15 which give you 4 then you multiply 1/5 by 4 which gives you 4/5 or 0.8.
Find BC in ABC round to the nearest 10th
Answer:
Step-by-step explanation:
take 53 degree as reference angle
using tan rule
tan 53=opposite/adjacent
1.32=BC/18
1.32*18=BC
23.76=BC
23.8=BC
Find the distance between the two points (-2,3) (2,4)
Answer:
Not sure of the answer but may be is 2/6
Answer:
[tex] \sqrt{17} [/tex]
Old Grandpa Joe left half his money to his granddaughter and half that amount to his grandson.
He left a sixth to his brother, and the remainder, £1,000, to the Dogs’ home.
How much did he leave altogether?
Answer:
£12000
Step-by-step explanation:
Granddaughter -- 1/2 of x
Grandson -- 1/2(1/2 of x)
Brother -- 1/6 of x
Dogs' home -- £1000
Therefore,
[tex]\frac{x}{2} + \frac{x}{4} + \frac{x}{6} + 1000 = x[/tex]
x = 12000
Thenks and mark me brainliest :)