Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{32}1 32. Who will get the greater quotient, Susan or Robyn? Write "Susan" or "Robyn." What is Susan's quotient? Write your answer as a whole number. What is Robin's quotient? Write your answer as a whole number.
Given:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
To find:
The quotient of Susan and Robyn.
Solution:
Susan divides the fraction [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{16}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10[/tex]
So, Susan's quotient is 10.
Her friend Robyn divides [tex]\dfrac{5}{8}[/tex] by [tex]\dfrac{1}{32}[/tex].
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4[/tex]
[tex]\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20[/tex]
So, Robyn's quotient is 20.
Since 20>10, therefore, Robyn will get greater quotient.
In its first year of operation, Big Lake Camp had 40 campers. This year’s attendance was 180% of the first year’s. How many campers participated this year?
32
58
64
72
Answer:
72 campers participated this year
Step-by-step explanation:
Percentages
To determine x% of y, we must calculate x*y/100.
The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.
The new attendance is calculated as follows:
40 * 180 / 100 = 72
72 campers participated this year
Answer:
72
Step-by-step explanation:
3 ratios that are equivalent to the given ratio.
4/7
Answer:
8/1416/2824/56Hope this helps! <3
Answer: Multiply by 2
Step-by-step explanation:
4*2=8 7*2=14
8:14
4*3=12 7*3=21
12:21
4*4=16 7*4=28
16:28
Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.
Answer:
10km/hr
Step-by-step explanation:
Given that:
Distance covered by both Dee and Ron= 20km
Ron's speed = 8km/hr
Dee made three 10 minute stops during the race.
Time it took Ron to cover 20km
Time = distance / speed
20km / 8km/hr = 2.5 hours = 150 minutes
Since they both tied ;
Running time of Dee = (150 - (3*10)) = 120 minutes = 2 hours
Ron's speed = distance / time
Speed = 20 km / 2hours
Speed = 10km/hr
What’s the value of y if x = 88
3√5•3√2 =
A. √10
B. 9√10
Which one?
Work Shown:
[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]
The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
Evaluate:
(-4) (3)
Easy come up for anyone who needs an easy 10 points
Answer:
-12
Step-by-step explanation:
Answer: (-4)(3)= -12
Help me PLZ, I WILL GIVE ROBUX TO THE BEST ANSWER!
Answer:
GIVE ROBUX FIRST
Step-by-step explanation:
(f-g)(x)=
x2+x-4
x2+x+4
Answer:
2x+x+4=3x+4
Step-by-step explanation:
Two vectors added using the tip to tail method. There is a 12 meter vector west added to a 5 meter vector north in a right triangle. The hypotenuse is a dashed arrow labeled R. What is the magnitude of the resultant vector? 13 miles 17 miles 60 miles 169 miles
Answer:
The answer is below
Step-by-step explanation:
The two vectors together with the resultant vector forms a right angled triangle. The resultant vector R can be gotten using the formula:
R² = 12² + 5²
R² = 144 + 25
R² = 169
R = √169 = 13
R = 13 miles
The resultant vector is 13 miles
The direction is gotten from:
θ = tan⁻¹(5/12)
θ = 22.62° North West
The resultant vector is therefore 13 miles North West
Answer:
13.9
Step-by-step explanation:
Draw diagonals ACand BDon rectangle ABCD. Measure and record the lengths of the diagonals.
Answer:
Diagonal Length
AC 7.21
BD 7.21
Step-by-step explanation:
Answer:
Diagonal | Length
AC | 7.21
BD | 7.21
Step-by-step explanation:
-edmentum
Maria receives a commission of 11.5% for each pair of shoes she sells. She earned $207 in commission last week. What was the dollar amount of shoes she sold?
The dollar amount of shoes she sold is $1800
Let the amount of the shoe sold e xWhat is commission?It is the amount earned on a product bought or sold.
If she receives a commission of 11.5% for each pair of shoes she sells and earned $207, the amount earned is calculated using the formula:
11.5% of x = 207
0.115x = 207
Divide both sides by 0.115
x = 207/0.115
x = $1800
Hence the dollar amount of shoes she sold is $1800
Learn more on discount here: https://brainly.com/question/24304697
Translate this into an equation.
The product of Greg's height and 5 is 90.
use g to represent Greg's height.
Answer:
g times 5 equals 90
Step-by-step explanation:
Answer:
g5 = 90
Step-by-step explanation:
if Greg's height is and 5 is the product of 90 that means you have to multiply g and 5 together to equal 90.
help me .................
Answer:
Perpendicular
Step-by-step explanation:
the slope of b is -3/4 and the slope of a is 4/3
Answer:
Perpendicular
Step-by-step explanation:
The lines are perpendicular because they meet at a right angle (90 degrees).
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Change 2/5 to a decimal
2/5 = 0.4
Simply devide 2 by5 then you'll get the answer as 0.4
Answer:
0.4
Step-by-step explanation:
If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.
PLEASE SOMEONE HELP ME!!!!!!
Answer:
It cant
Step-by-step explanation:
car use gas at differnt rates
please help. i will mark brainleast
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
help!
Instructions: Write an expression to represent the given scenario.
Your friend Isabella is growing her hair out so that she can cut it and donate it to a charity that makes wigs for childhood cancer victims. On average, hair typically grows 1.5 cm per month. Write an expression that represents the total growth Isabella should expect based on the number of months, m, she lets her hair grow.
Answer:
y = 1.5m
Step-by-step explanation:
Since we are finding the length after a certain number per month, that means we will be multiplying.
1.5 for EVERY month so it would look like
_ = 1.5m
We can replace the blank with the variable y.
y = 1.5m
Hope that helps and have a great day!
Explain why -7 has a greater absolute value than the absolute value of 6.
Answer:
abosute value is the bigger number regardless of positives and negitives.
Step-by-step explanation:
Answer:
The absolute value of a number means the distance from 0. -7 is further from 0 than 6, therefore, it has a greater absolute value. Keep in mind, absolute value makes all numbers positive.
Which division problem does the number line below best illustrate?
A number line going from 0 to 2 in increments of 0.2.
2 divided by one-fifth = 10
1 divided by one-fifth = 10
2 divided by one-tenth = 5
1 divided by one-tenth = 5
Answer:
A
Step-by-step explanation:
Hope this helps!!!!!!!!!!!!!!!!!!:)
Answer:
is it C OR A
Step-by-step explanation:
A cone is placed inside a cylinder. The cone has half the radius of the cylinder, but the height of each figure is the same. The cone is tilted at an angle so its peak touches the edge of the cylinder’s base. What is the volume of the space remaining in the cylinder after the cone is placed inside it? (Please explain and show work)
=================================================
Work Shown:
A = volume of the cylinder
A = pi*(radius)^2*(height)
A = pi*r^2*h
-----------
The cone's base has diameter r/2, so its radius is (1/2)*(r/2) = r/4
B = volume of the cone
B = (1/3)*(volume of cylinder with radius r/4 and height h)
B = (1/3)pi*(r/4)^2*h
B = (1/3)*pi*(r^2)/(4^2)*h
B = (1/3)*pi*(r^2)/16*h
B = (1/3)*(1/16)*pi*r^2*h
B = (1/48)pi*r^2*h
B = (1/48)*A
B = (1/48)*(volume of cylinder)
-----------
C = volume of the empty space/air inside cylinder, but outside cone
C = A-B
C = A - (1/48)*A
C = (48/48)A - (1/48)A
C = (48A)/48 - (A/48)
C = (48A-A)/48
C = 47A/48
C = (47/48)*A
C = (47/48)*pi*r^2*h
can someone help me plz:)
Answer:
when i did the math i got o.28
Step-by-step explanation:
In one version of trail mix, there are 3 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix, there are 4.5 cups of peanuts mixed with 3 cups of raisins. Are the ratios equivalent for the two mixes.
Select one:
Yes
No
Answer:
No
Step-by-step explanation:
The 4.5 cups of peanuts should be 4
Hey my friend needs help with finding the challenges for sum reason does it not pop out for sum people as well
Answer:
yah for some reason i cant find it
Answer:
sssssssssssssss
Step-by-step explanation:
Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
Answer: 9 (with a margin of: 0)
Step-by-step explanation:
Times everything by 5
That gives you 15 + 10w = 105.
Subtract 15 from both sides
Divide by 10 to get w by itself
Then you solve
Solve for x and y.
(please help asap)
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
HELP!! igzitzgiziztztizu
Answer:
57 miles in 1 hr
Step-by-step explanation:
171/3 = 57
Jose traveled 315 miles in 7 hours. Based on this rate, how many miles did Jose travel in one hour? Do not include units.
Answer:
45
State your explanation below:
Answer:
45
Step-by-step explanation:
315/7=45
find the value of the height of the tree.
Answer:
20 ft
Step-by-step explanation:
First we must find out what the scale factor is.
26 / 6.5 = 4
the scale factor is 4.
Now we must multiply 5 by 4 to find x.
5 * 4 = x
20 = x
x = 20
The height of the tree is 20 ft.