Answers
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.
2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job
3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.
Related Questions
Damien is competing in both swimming and running at a competition. After analyzing himself and his competitors, he knows that he has a 65% chance of winning at swimming and an 85% chance of winning at running. What is the probability that he will win the running event, but lose the swimming event?
Answers
Answer:
[tex]Probability = 0.2975[/tex]
Step-by-step explanation:
Giving:
Swimming
[tex]P(Win[Swim])= 65\%[/tex]
Running
[tex]P(Win[Run])= 85\%[/tex]
Required
Determine the probability of winning at running and losing at swimming
First, we calculate the probability of losing at swimming using
[tex]P(Win) + P(Lose) = 1[/tex]
Substitute 65% for P(Win)
[tex]65\% + P(Lose[Swim]) = 1[/tex]
Collect Like Terms
[tex]P(Lose[Swim]) = 1 - 65\%[/tex]
[tex]P(Lose[Swim]) = 35\%[/tex]
The required probability is then calculated using:
[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]
[tex]Probability = 85\% * 35\%[/tex]
Convert to decimal
[tex]Probability = 0.85 * 0.35[/tex]
[tex]Probability = 0.2975[/tex]
What are is the answer here and why? Use the notes in the left.
Answers
Answer:
X = 3.
explanation is in the picture.
hope it helps.
Answer:
x = 3
Step-by-step explanation:
2(3x -5) + 3x + 3 = 20
^^ solve parenthesis
6x - 10 + 3x + 3 = 20
+10 +10
add ten to both sides
6x + 3x + 3 = 30
add like terms
9x + 3 = 30
-3 -3
subtract 3 from both sides
9x = 27
divide both sides by 9
x = 3
Which function shows a fabric with a price of $1.25 per square yard?
Answers
Answer:
D
Step-by-step explanation:
10.8 as a fraction please answer
Answers
Answer:
1 2/8 or 10/8
Answer: 54/5
Step-by-step explanation:
what is 5000000000000000times 409458374.9394ir
Answers
Answer:
2,047,291,874,697,000,000,000,000
Step-by-step explanation:
that is the answer to the multiplication statement xD
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answers
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
An ice cream factory makes 210 quarts of ice cream in 2 hours. Calculate the unit rate of quarts per hour.
Answers
Answer:
105 quarts an hour
Step-by-step explanation:
divide 210 by 2
y = –2x2 + 8x - 3
help :c
Answers
Answer:
8x-7
Step-by-step explanation:
-4+8x-3
8x-4-3
8x-7
SOLVE FOR X, EXPLAIN PLEASE URGENT.
Answers
-3=-3
3x=24
3x/3=24/3
X=8
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
Answers
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
Find the sum or difference:
(2w - 9) + (-4w - 5)
(6d + 5) - (2 - 3d)
(4 - 5y) - (2y - 16)
Answers
Answer:
-2w+-14
3d+3
-7y+-16
Step-by-step explanation:
Remove ()- 2w+-9+-4w+-5
2w+-4w = -2w
-9+-5 = -14
-2w+-14
Remove ()- 6d+5+-2+-3d
6d+-3d = 3d
5+-2 = 3
3d+3
Remove ()- 4+-5y+-2y+-16
-5y+-2y = -7y
4+-16 = -12
-7y+-12
H varies directly to the cube of c.
When H = 40, C = 2.
(a) Express H in terms of c.
Answers
Answer:
H in terms of c is H = 5c³.
Step-by-step explanation:
Given that:
H = 40 and c = 2
H varies directly to the cube of c.
Which means that,
H ∝ c³
Let,
k be the proportionality constant.
H = kc³
Putting H=40 and c=2
[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]
Dividing both sides by 8,
[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]
Now,
H in terms of c.
H = 5c³
Hence,
H in terms of c is H = 5c³.
Calculate the volume of the following shape.
8cm
20cm

Answers
Answer:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
So :
Step-by-step explanation:
[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]
Answer:
Volume = 4021.24 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
Write a real-world problem that is represented by the inequality below. x >5
Answers
Credit card Monthly payment ≥ 10% of your balance in that billing cycle
Text messaging Allowable number of text messages per month ≤ 250
Travel time Time needed to walk from home to school ≥ 18 minutes
Times it by 6 and take away 10 and the result is 44
Answers
Answer:
(for your second question) 23.69
Step-by-step explanation:
x - y = 2
x + y = -3
Solve this using elimination
Quickly please!!!!
Answers
The answer for y=-5/2
I believe these are correct
Solve the problem. Round the solution to the nearest hundredth where applicable. What is the tangent of ZH?
check photo for image and options
Answers
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answers
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answers
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
Two employees Maggie and Rachel earn $18 per hour. Maggie receives 1.00 raise each 6 months and Rachel receives a 6% raise each year. Write an equation to represent Maggie pay over x years
Answers
hi, can you please do these? thanks for helping!
Answers
Answer:
i will answer you other if u rate me brainliest
Answer: (A) 1/10: 5 9/10 :5/6
(B) 3 3/4: -2 7/50
(C) 8 5/8 : 4/9
(D)2 2/5: 2 67/210: -2 2/3
(E)-1 1/2 : 81/128
Step-by-step explanation:
hopes this helps
Here is a number machine.
Answers
Answer:
The output is 3n + 6
Step-by-step explanation:
You have to apply all of the steps in order:
Since we cannot simplify n+2, we have to write it as (n+2). Next, since we do the next step, multiply by 3. This would be 3(n+2), and if you apply the distributive property (multiply), you would get 3 * n + 2 * 3, or 3n + 6.
Answer: 3n + 6
90 Points! Select the correct answer. (Screenshot attached)
Answers
[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]
[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]
Option C
7. Find the area of a rectangle if has a length the size of (x - 7) and a width the size of
(5x + 3).
Answers
Answer:
Area of a rectangle (A)= length(l) *Width(w)
l=(x-7)
w=(5x+3)
:. A= (x-7)(5x+3)
=5x(x-7)+3(x-7)
A=5x^2-35x+3x-21
A=5x^2 -32x -21
The area is in algebraic expression
Step-by-step explanation:
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Answers
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, I will follow u back
Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
1. Find the slope and y-intercept of the graph of the following equation.
y=-x+4
Answers
Answer:
Slope -1 , y intersept is (0,4)
Answer:
Y intercept=4 and the slope is -1/1 or -1
Step-by-step explanation:
The numeral by itself is the Y intercept and thw number next to the x would be the slope is there is no number its just one and if its a single number for ex 4x it would be 4/1 so your answer would be Y intercept=4 and the slope is -1/1 or -1
Which one is equivalent? Answer needed ASAP!!
Will mark Brainliest!!
Answers
Answer:
-5÷17, -5/17, 5/-17
Step-by-step explanation:
Answer:
-5/17, 5/(-17), 5/-17 (sorry if they're wrong i'm doing my homework at the same time.)
Step-by-step explanation:
h(n) = 3^n+3; Find h (3n)
Answers
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)
3x + 2z - 4y - 6 + 4z + 7y
x = 2, y = 1, z = -3
plz help me with this. this is a substitution question. plz show all steps to this question. Thank You!
Answers
Answer:
3x(2z+4z)+(−4y+7y)−6
Step-by-step explanation:
1 Collect like terms.
3x+(2z+4z)+(−4y+7y)−6
2 Simplify.
3x+(2z+4z)+(−4y+7y)−6
3x+6z+3y−6
annyone wanna help 9x-14=22
Answers
Answer:
4
Step-by-step explanation: