Answer:
The slope is -3/8
Step-by-step explanation:
Y= mx+b
m or mx is the slope while b is the y intercept
Juan needs to simplify the fraction LaTeX: \frac{32}{52}32 52. He will need to divide the numerator and the denominator by the greatest common factor. What is the greatest common factor of 32 and 52?
Answer:
4Step-by-step explanation:
Given the expression, 32/52
Juan need to divide the numerator and the denominator by the greatest common factor
For 32;
32 = 8 * 4
For 53
52 = 13 * 4
Find the ratio
32/52 = (8*4)/(13*4)
32/52 = 8/13
Since 4 is common to both factors, Hence the greatest common factor is 4
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
What is the value of the equation -2/3x + 9 = 4/3 x -3?
Answer:
x = 6
Step-by-step explanation:
[tex]\frac{-2}{3}x+9=\frac{4}{3}x-3\\\\\frac{-2}{3}x-\frac{4}{3}=-3-9\\\\\frac{-2-4}{3}x= - 12\\\\\frac{-6}{3}x = -12\\\\ -2x -12\\\\x = \frac{-12}{-2}\\\\x = 6[/tex]
There are 14 green crayons and 28 red crayons in a bin. What is the ratio of green crayons to red crayons in simplest form?
Answer:
Green crayons are 1/3 of all the crayons and the red crayons are 2/3 of the crayons. So 1/3rd to 2/3rds
Step-by-step explanation:
14+28=42
14/42=1/3
28/42=2/3
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
Solve the proportion:
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
cross multiply
9*10=90
90/6=15
how many times can 42 go into 278?
Answer:
6.61 or 6 times
Step-by-step explanation:
278/42 = 6.61
42 goes into 278 6.61 times.
If you are estimating, 6 is correct.
If you are finding the exact answer, 6.61 is correct.
I hope this helps with your question.
1. Solve the system of equations.
2y - 3z=0
x+3y = -4
3x + 4y = 3
Answer:
1. y = 3/2z
Step-by-step explanation:
1. ,2y-3z + 3z =0 + 3z ,2y=3z, 2y/2 =3z/2=3/2z
How to find the constant of y=3/5x
Answer:
3/5
Step-by-step explanation:
y=3/5x = 0 x both sides by 5
5y-3x=0 reorder terms (community property)
-3x+5y=0
3x-5y=0 changes the signs when you do that
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 333 chaperones for a field trip with 242424 students.
Answer: See explanation
Step-by-step explanation:
Here is the complete question:
A museum requires a minimum number of chaperones proportional to the number of students on a field trip. The museum requires a minimum of 3 chaperones for a field trip with 24 students. Which of the following could be combinations of values for the students and the minimum number of chaperones the museum requires? Choose 2 answers.
A. Students: 72
Minimum of chaperones: 9
B. Students: 16
Minimum of chaperones: 2
C. Students: 60
Minimum of chaperones: 6
D. Students: 45
Minimum of chaperones: 5
E. Students: 40
Minimum of chaperones: 8
Since the museum requires a minimum of 3 chaperones for a field trip with 24 students. This means that there will be 24/3 = 8 students per chaperone.
We then divide the number of students given in the question by the number of chaperone to know our answers. This. Will be:
Students: 72
Minimum of chaperones: 9
This will be: 72/9 = 8
Therefore, this is correct.
B. Students: 16
Minimum of chaperones: 2
This will be: 16/2 = 8
This is correct
C. Students: 60
Minimum of chaperones: 6
This will be: = 60/6 = 10.
Therefore, this is wrong
D. Students: 45
Minimum of chaperones: 5
This will be 45/5 = 9
Therefore, this is wrong.
E. Students: 40
Minimum of chaperones: 8
This will be: 40/5 = 8.
Therefore, this is wrong.
Therefore, options A and B are correct.
helpppppp me plssss
uh
Answer:
Step-by-step explanation:
-n+1
Step-by-step explanation:
(n+2)-(2n+1)
=n+2-2n-1
=n-2n+2-1
=-n+1
Make a reasonable estimate for the situation. A snail moves at a speed of 3.395 inches per minute. If the snail keeps moving at this rate, about how many inches will it travel in 6.187 minutes?
Answer:
Distance = 21.0049 inches
Step-by-step explanation:
Given the following data;
Speed = 3.395 inches per minute.
Time = 6.187 minutes
To find the distance;
Distance = speed * time
Substituting into the equation, we have;
Distance = 3.395 * 6.187
Distance = 21.0049
Find the slope of this line. *
(5 puntos)
-1
1
3
5
y
-2
0
2
4
Answer:
1
Step-by-step explanation:
Slope = y2 - y1 / x2 - x1 so, (0 - (-2)) / (1 - (-1)) == 2/2 = 1
simplify 6 + 15 x 72=
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
Find the solutions of the quadratic equation 3x2 + 9x + 17 = 0.
Answer: C
Step-by-step explanation: Just did khan academy
What is the product of 7/10 and 3 2/3?
1 3/5
1 13/15
2 17/30
3 7/15
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
Find the width of the Brady river.
Answer:I think its 5miles
Step-by-step explanation:
hope this helps!
PLEASE HELP ME I NEED THE ANSWER ASAP THANK YOU SO MUCH!!
dark blue is the answer
Joaquin is four more than half Marjorie’s age. Marjorie is also 32 less than three times Joaquin’s age.
How old is Marjorie?
Answer:
She is 40 years of age
Step-by-step explanation:
Let Joaquin age be j
Let Marjorie age be m
From the first part of the question;
j = 4 + m/2
Secondly;
m =3j - 32
Multiply equation i through by 2
2j = 8 + m
m = 2j-8
Equate both m
2j-8 = 3j-32
3j-2j = 32 -8
j = 24
m = 2j-8
m = 2(24)-8
m = 48-8
m = 40
There is a sale at your favorite clothing store. They have their jeans priced at $49.99 with a extra 20% off. How much will you pay for three pairs of jeans, not including tax? Exlpain how you got your answer.
Answer: You need to pay $119.98 for three pairs of jeans.
Step-by-step explanation:
Market price of 1 jeans = $49.99
Discount percent = 20% = 0.20
Market price for 3 jeans = 3 x ($49.99)
= $ 149.97
Discount price = 20% of (Market price for 3 jeans )
= .0.20 x ($149.97)
= $ 29.99
Price of 3 jeans after discount = (Market price for 3 jeans ) - ( Discount price)
= $ (149.97 - 29.99)
= $ 119.98
Hence, you need to pay $119.98 for three pairs of jeans.
Which pair of triangles MUST be similar?
A. Triangle 5 has a 25 degree angle and a 75 degree angle. Triangle 6 has a 25 degree angle and a 70 degree angle.
B. Triangles 1 and 2 each have a 40 degree angle.
C. Triangle 7 has a 40 degree angle and a 35 degree angle. Triangle 8 has a 40 degree angle and a 105 degree angle.
D.Triangles 3 and 4 are both scalene. Each have a 65 degree angle.
Answer:
C
Step-by-step explanation:
The total measurement of a triangle is 180
Triangle 7 has a 40 degree angle and 35 degree angle.
40+35=75
180-75=105
Triangle 8 has the same angle that is 40 degrees and 105. And if you do the same math, you would get 35 for the missing angle of triangle 8
(FREE BRAINLIEST I NEED HELP PLEASE BAIL ME OUT)Find the constant of proportionality in a graph. Be sure to include the units with the value.
Constant of Proportionality =
Answer:
Fraction form:
[tex]\frac{3}{4}[/tex]
For every 3 dollars, there are 4 cookies
Step-by-step explanation:
To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.
Hope this helps! :)
The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?
Answer:
It will take 50 seconds for the pebble to reach the height
Step-by-step explanation:
To calculate the time, simple substitute h(t) for 32,500
So we have
32,500 = 20,000 + 5t^2
5t^2 = 32,500-20,000
5t^2 = 12500
t^2 = 12500/5
t^2 = 2500
t = square root of 2500
t = 50 seconds
What is the image of the point (1,8)(1,8) after a rotation of 180 counterclockwise about the origin?
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
45% of _____________is 165
Answer:
366.666666Step-by-step explanation:
Let the number be x
45% of x = 165x*45/100 = 165x = 165*100/45x = 366.666666[WORTH 100 WHOLE POINTS] !!
I need it soon!!
Answer:
1. 1/5 2. 3/5 4. 1/2 I dont know what 3 is
Step-by-step explanation:
What is the domian of the following represented by ordered pairs?
{(3, 7), (-5, 1), (2, 4), (-3, 6)}
Answer:
The Domain are 3,-5,2,-3
Step-by-step explanation:
hope that helps
Answer:
The domain is (3, -5, 2, -3
Step-by-step explanation:
Plz give brainlyest
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
Please help I’ll give you guys brainiest!
Thank youuuuuuu :))
Answer:
look at graph