Answer:
The radius = 24 units.
Step-by-step explanation:
I am assuming that the 2 radii are equal then:
1/3 pi r^2 * 96 = 4/3 pi r^3
then:
4/3 pi r^3 / 32 pi r^2 = 1
4/3r^3 / 32 r^2 = 1
4/3 r * 1/ 32 = 1
r = 32 * 3/4
= 24.
There are 4 classrooms of third grade and 4 of fourth grade at our school. Each classroom has 20 students. She knows the following information:
·90% of 3rd and 4th grade students have permission to go on the trip.
·4 teachers are going on the trip
·The school requires 1 parent volunteer for every 8 students going on the trip.
Part A: How many parent volunteers are needed to go on the trip?
Part B: All of the students, teachers, and parents going on the trip ride in school buses that hold 44 people. How many school buses should Mrs. Horan reserve?
Answer: 18 parent volunteers and 4 buses.
Step-by-step explanation: In order to solve this problem you must first calculate how many student will be going on the trip.
There are 8 classes of 20 students and 90% are attending, so the formula is 8 x 20 x .9 = 144 students are going.
Part A: If one parent needs to go for each 8 students you need to divide 144 by 8 = 18 parent volunteers.
Part B: The total people attending are 144 students, 18 parent volunteers and 4 teachers is a total 166 total attending to ride the bus. You need to divide 166 people by 44 on each bus = 166/44 = 3.7 buses, so they need to reserve 4 buses.
Robbin earned $80 over the weekend and Beth made $70. Which statement shows who made more money over the weekend?
Robbin made more over the weekend
Help on this Please!!!!! Will give brainliest!!!!
Check the three attached images.
The first exercise is quite self-explanatory. We have to draw two lines that pass through P and are tangent to the circle.
As for the second, since the circle is tangent to all three side of the triangle, we can conclude that the circle is inscribed in the triangle.
Finally, to draw the common tangent, you have to find the point of intersection between the two circles, and draw a line perpendicular to AB.
Find the diameter of a circle with a circumference of length 26cm round to the nearest tenth
Answer:
8.3 cm
Step-by-step explanation:
The equation 2πr is used to find circumference. To find the diameter, you will first need to find the radius, and in order to find the radius, you need to isolate "r" in the equation.
2πr = 26
Divide 2 for both sides.
πr = 13
Divide π (I am assuming π is 3.14) for both sides.
r = 4.140127389
Our radius is about 4.140127389. To find the diameter, multiply your radius by 2. This gives us 8.276057041, which rounds to 8.3 cm.
I am a number between 60 and 100 My ones digit is 2 less than my tens digit. I am a prime number. What number am I?
CAN ANYONE HELP PLEASE??
Answer:
Step-by-step explanation:
First Question
The top question has 2 solutions because eventually you will have to take the square root of (x - 4)^2. One square root will be plus, and the other minus
(x - 4)^2 - 28 = 8 Add 28 to both sides
(x - 4)^2 -28+28 = 8+28 Collect like terms
(x - 4)^2 = 36 Take the square root.
sqrt( (x - 4)^2 ) = sqrt(36)
x - 4 = +/- 6
=============
x - 4 = + 6
x = 6 + 4
x = 10
============
x - 4 = - 6
x = - 6 + 4
x = - 2
The two solutions are (10,0) and (-2,0)
Second Question
The question is solved correctly up to the point where the square root needs to be taken. It is incorrect at that point.
x^2 - 6x - 7 = 0 Add 7 to both sides.
x^2 - 6x = 7 Add 1/2 the linear term and square it to both sides.
x^2 - 6x + (6/2)^2 = 7 + (6/2)^2 Expand the right
x^2 - 6x + 3^2 = 7 + 9
x^2 - 6x + 9 = 16 express the square on the left
(x - 3)^2 = 16 Take the sqrt of both sides.
x - 3 = sqrt(16)
x - 3 = +/-4
============
x - 3 = 4
x = 4 + 3
x = 7
===========
x -3 = - 4
x = - 4 + 3
x = - 1
==========
Solutions
(7,0) and (-1,0)
Scientists estimate there are _____ different plant species.
A. about 200,000
B. more than 300,000
C. nearly 500,000
D. about 1,000,000
The answer is B.
There are about 391,000 of plants currently known to science.
Hope this helps.
The answer is B. There are more than 300,000 plant species
Randy's bicycle tire has a diameter of 42 ccentimeters. Which is the closest to the circumference of one of the tires? Use 3.14 for π
Answer:
131.88 centimeters
Step-by-step explanation:
diameter = radius*2
radius = 21
circumference =2*π*r
2*3.14*21= 131.88 centimeters
Giving you guys an easy one!
Dylan bought a total of 12/16 pound of plywood nails and frame nails. The weight of the frame nails is 3/4 of the total weight. What is the weight of the frame nails? Explain.
Answer:
1 pound
Step-by-step explanation:
12/3= 4
16/4=4
4/4=1
To find the weight of the frame nails that Dylan bought, which is 3/4 of the total weight of 12/16 pound, we multiply the total weight by 3/4 to get 9/16 pound.
The subject of this question is mathematics and it appears to be aimed at a middle school level. Dylan bought a total of 12/16 pound of plywood nails and frame nails, and we are asked to determine the weight of the frame nails, which is 3/4 of the total weight. To find the weight of the frame nails, you simply multiply the total weight by 3/4:
First, simplify the total weight. The fraction 12/16 simplifies to 3/4 because both the numerator and the denominator are divisible by 4.Next, calculate the weight of the frame nails by multiplying the simplified total weight by 3/4.Therefore, the weight of the frame nails is 9/16 pound.
Find the length of UC on the attached diagram. Thank you!
The length of UC is 18
ExplanationFirst we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:
[tex]UC=JN-(JU+CN)[/tex]
[tex]UC=187-(118+51)[/tex]
[tex]UC=18[/tex]
We can conclude that the length of UC is 18.
Answer:
The correct answer is UC = 18
Step-by-step explanation:
From the given figure we can see that,
total length JN = 82 + 105 = 187
To find the length UC
From figure we can write,
UC = Total length - ( JU + CN) = JN - ( JU + CN)
JU = JH + HU = 22 + 96 = 118
UC = JN - ( JU + CN)
= 187 - (118 + 51)
= 187 - 169 = 18
Therefore the length of UC = 18
Neither are multiple choice questions.
The solution TO A SYSTEM is an ____________ that solves both equations.
A solution to a systems of linear equation is the point where the lines ________________.
Answer:
1. The solution to a system is an ordered pair that solves both equations.
2. A solution to a systems of linear equation is the point where the lines intersect
Step-by-step explanation:
Tickets for a basketball game cost $20 for upper-level seats and $30 for lower-level seats. Tickets at the same venue for an ice hockey game cost $15 for upper-level seats and $35 for lower-level seats. If tickets for all seats are sold, the venue generates $7000 in revenue for a basketball game and $6500 for a hockey game. How many upper and lower-level seats does the venue have?
Let x represent the number of upper-level seats.
Let y represent the number of lower-level seats.
20x + 30y = 7000
15x + 35y = 6500
The venue has
upper-level seats and lower-level seats.
Answer:
x = 200
y = 100
Step-by-step explanation:
20x + 30y = 7000 Divide by 10
15x + 35y = 6500 Divide by 5
===============
It helps if you break down both equations to something simpler. It looks like not always.
(2x + 3y = 700) Multiply by 3
(3x + 7y = 1300) Multiply by 2
==================
6x + 9y = 2100
6x + 14y =2600 Subtract
-5y = - 500 Divide by -5
-5y/-5 = -500/-5
y = 100
2x + 3y = 700 substitute y = 100
2x+ 3*100 = 700 Combine
2x + 300 = 700 Subtract 300 from both sides.
2x = 700 - 300
2x = 400
x = 400/2
x = 200
===================
Hockey check
15x + 35y = 6500
15*200 + 35*100 = 6500
3000 + 3500 = 6500 Just as it should.
Answer: 300 seats
Step-by-step explanation:
Easy!
20x + 30y = 7000
15x + 35y = 6500
Simplify by division of a common factor:
5(4x + 6y = 1400)
5(3x + 7x = 1300)
Choose an equation to solve for a variable and use substitution:
4x = 1400 - 6y
x = 350 - 3/2y
3(350 - 3/2y) + 7y = 1300
1050 - 9/2y + 7y = 1300
5/2y = 250
y = 100
Now substitute the solution in both equations to see if it works:
20x + 30(10) = 7000
20x + 3000 = 7000
20x = 4000
2x = 400
x = 200
Now for the other equation:
15x + 35(100) = 6500
15x + 3500 = 6500
15x = 3000
x = 200
Now add x to y, as the total number of seats is equal to x + y.
x + y = total number of seats.
200 + 100 = 300
Therefore, there must be 300 seats in total.
What is the value of x in the equation 4x+8y=40 , when y = 0.b?
Answer:
x = 10
Step-by-step explanation:
Given
4x + 8y = 40 ← substitute y = 0, then
4x + (8 × 0) = 40
4x + 0 = 40
4x = 40 ( divide both sides by 4 )
x = 10
Identify the polynomial.
a 2 + bcd 3
monomial
binomial
trinomial
four-term polynomial
five-term polynomial
Answer:
Binomial
Step-by-step explanation:
P = a² + bcd³
The polynomial contains two terms, so it is a binomial.
Answer:
The answer is a binomial.
Step-by-step explanation:
In order to determine the answer, we have to know about polynomial.
A polynomial is an mathematical expression where there are different terms. A term is just a variable, representing by a letter, and a coefficient. Terms are different when they have different variable, independent of their coefficients.
When the mathematical expression has just one term, it is called monomial, when it has two terms, it is called binomial, when it has three terms, it is called trinomial.
The polynomial is:
[tex]a^2+bcd^3[/tex]
In this case, there are two terms, so the polynomial is a binomial.
Which of the following is an expression for “doubling a number N and dividing by 3” ?
A)2+n/3
B)2n/3
C)n2/3
D)2/3n
Answer:
B or C
Step-by-step explanation:
Since the communitive property of multiplication states that A * B = B * A...
2n = n2.
2n is doubling n and /3 is dividing that number by 3.
Solve. 7/9 = b/b - 10
Answer:
No Solution
Step-by-step explanation:
There are no values of b
that make the equation true.
No solution
what is 10 times three
Answer:
The answer is 30
Step-by-step explanation:
10 + 10 + 10 = 30
(3 x 10)
The answer is 30 but 10 to the power of three is 1000
Hope this helps mark me brainliest
the circle below is the graph of which of the following equations
Answer:
[tex](x-4)^{2}+(y-4)^{2}=32[/tex]
Step-by-step explanation:
we know that
The equation if the circle into center radius form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where
(h,k) is the center of the circle
r is the radius
In this problem we have
[tex](h,k)=(4,4)[/tex]
Find the radius of the circle
we know that
The distance between the center and any point that lie on the circle is equal to the radius
Let
[tex]A(0,0),B(4,4)[/tex]
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute the values
[tex]r=\sqrt{(4-0)^{2}+(4-0)^{2}}[/tex]
[tex]r=\sqrt{(4)^{2}+(4)^{2}}[/tex]
[tex]r=\sqrt{32}\ units[/tex]
substitute in the equation of the circle
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
[tex](x-4)^{2}+(y-4)^{2}=(\sqrt{32})^{2}[/tex]
[tex](x-4)^{2}+(y-4)^{2}=32[/tex]
What is 4 1/8 simplified to
This is pretty easy, we have two steps.
#1. We have to use the formula rule.
4 x 8 + 1. over 8.
#2. Simplify the top equation.
4 x 8 is 32 + 1 = 33.
We get [tex]\fbox{33/8}[/tex].
The fraction 4 1/8 simplified as an improper fraction is 33/8
How to simplify the fraction as an improper fractionFrom the question, we have the following parameters that can be used in our computation:
Fraction = 4 1/8
When converted to an improper fraction, we have
Numerator = 8 * 4 + 1
Evaluate
Numerator = 33
The denominator remains the same
So, we have
Fraction = 33/8
Hence, the fraction is 33/8
Read more about fraction at
brainly.com/question/31896427
#SPJ6
Of 750 people surveyed, 330 were male and 640 had cell phones. Of those with cell phones, 390 were female. What is the probability that a person surveyed was either male or had a cell phone?
a) 360/750 ≈ 0.48
b) 580/750 ≈ 0.7733
c) 700/750 ≈ 0.9333
d) 720/750 ≈ 0.96
Answer:
Option d - 720/750 ≈ 0.96
Step-by-step explanation:
Given : Of 750 people surveyed, 330 were male and 640 had cell phones. Of those with cell phones, 390 were female.
To find : What is the probability that a person surveyed was either male or had a cell phone?
Solution :
Let M be the number of males i.e. M=330
Let C be the number of cell phones i.e C=640
Total number of people = 750
Of 750 people surveyed, 330 were male
The probability of male is
[tex]P(M)=\frac{330}{750}[/tex]
Of 750 people surveyed, 640 had cell phones
The probability of cell phones is
[tex]P(C)=\frac{640}{750}[/tex]
Of those with cell phones, 390 were female.
i.e. reaming were male so 640-390=250
So, Probability of male and cell phone is
[tex]P(M\cap C)=\frac{250}{750}[/tex]
We have to find, the probability that a person surveyed was either male or had a cell phone i.e. [tex]P(M\cup C)[/tex]
Using formula,
[tex]P(M\cup C)=P(M)+P(C)-P(M\cap C)[/tex]
Substitute the values,
[tex]P(M\cup C)=\frac{330}{750}+\frac{640}{750}-\frac{250}{750}[/tex]
[tex]P(M\cup C)=\frac{330+640-250}{750}[/tex]
[tex]P(M\cup C)=\frac{720}{750}[/tex]
[tex]P(M\cup C)=0.96[/tex]
Therefore, Option d is correct.
in which direction does the parabola opens up?
[tex]a{x}^{2}+bx+c\\Since \: a = 1> 0, the \: parabola \: will \: open \: up[/tex]
I need help?!!
Answer quicklyy
Answer:
-7
Step-by-step explanation:
To find f(-8), use the blue line labeled f(x) and go to -8 on the x axis and find its corresponding y value by moving vertically down from -8 to the blue line and find the y value of that point. You can see that the blue line hits (-8, -5) so the y value is -5 and f(-8) = -5.
Do the same thing for g(4) and you should find the red graph g(x) hits the point (4, 3). So g(4) = 3.
-1 * -5 - 4 * 3 = 5 - 12 = -7
**WILL MARK BRAINLIEST AND THANK YOU**
Solve the equation f(x)=g(x) by graphing the functions f(x)=3^x+1 and g(x)=4 on the same set of coordinate axes.
Which statements about the solution are true?
Select EACH correct answer.
A. The solution to the equation is x=1
B. The ordered pair that contains the solution to the equation lies in Quadrant I
C. The ordered pairs that contain the solutions to the equation like in Quadrants I and II.
D. There are 2 solutions to the equation.
E. The ordered pair that contains the solution to the equation lies in Quadrant II
Answer:
See the attachments.
A and B are the correct statements.
y=2x^2+16x+30 axis of symmetry
Answer: The axis of symmetry would be -4. We can easily find it by graphing the equation.
Find the product 12x $578
Answer:
6936
Step-by-step explanation:
Use long multiplication to evaluate
Lance wrote the number 4,953. Then he wrote a number with a 9 digit that is 100 times the value of the 9 in 4,953.
the answer is 4953 * 100 which is equal to 495300
Answer:
The Number written by lance = 4,953
Face value of ,9 in 4953 = 9
Place value of , 9 in 4953 = 9 × 100=900
So, the number could be
1. 100 × Face value of , 9 in 4,953 = 100 × 9=900
2. 100 × Place value of , 9 in 4,953 =100 × 900=90,000
Enter your answer and show all the steps that you use to solve this problem in the space provided.
f(x)=9x3+2x2−5x+4and g(x)=5x3−7x+4.what is f(x)−g(x)?
Show all of your steps and write your final answer in factored form.
PLEASE HELP FAST 20 PTS
f(x)= 9x^3+ 2x^2 -5x+ 4
g(x)= 5x^3 -7x+ 4
f(x) - g(x)
= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)
= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4
= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)
= 4x^3+ 2x^2+ 2x
= 2x* (2x^2+ x+ 1)
The final answer is 2x* (2x^2+ x+ 1).
Which graph represents the system 3x + 5y ≤ 9 and 2x + y ≥ 5? A. graph A B. graph B C. graph C D. graph D
Answer:
its graph b for plato
Step-by-step explanation:
Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions. Mr. Rivers drove at an average speed of 48 mph and Mrs. Rivers drove at an average speed of 36 mph. How far apart are they at 10:30 a.m.?
Answer:
42 miles.
Step-by-step explanation:
It is given that Mr. and Mrs. Rivers left their house at 10:00 a.m. driving in opposite directions.
Speed of Mr. Rivers = 48 mph
Speed of Mrs. Rivers = 36 mph
We need to find the distance between them at 10:30 a.m.
10:30 - 10:00 = 0:30 = 30 minutes = 1/2 = 0.5 hour
Distance covered by Mr. Rivers in half hour = 48 × 0.5 = 24
Distance covered by Mrs. Rivers in half hour = 36 × 0.5 = 18
Total distance covered by both in half hour = 24 + 18 = 42
Therefore, they are 42 miles far from each other at 10:30 a.m.
Answer:
42 miles
Step-by-step explanation:
What is the algebraic expression for "the difference between seven times a number and three times that number"?
Answer:
7x-3x = 4x?
I think
7x-3x
i dont really know