It would take Jack $4$ hours to mow the lawn if he works alone. Fortunately, after he mows for $2$ hours, Jill joins him. They finish mowing $90$ minutes later. How many minutes would it have taken for Jill to mow the entire lawn alone? Enter your answer as a number without units.
Answer:
12 hours
Step-by-step explanation:
In 1 hour jack mows 1/4 of the lawn
Together they mow half a lawn in 1.5 hours
Which is a whole lawn in 3 hours
in one hour together they mow 1/3 of the lawn
It takes Jill x hours to mow the lawn
in one hour Jill mows 1/x of the lawn
Working together in one hour
jack + jill = together
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
12 = x
It takes Jill 12 hours to mow the lawn
The number of minutes that it would have taken for Jill to mow the entire lawn alone is 12 hours or 720 minutes.
From the information given, it will takes Jill x hours to mow the lawn. Therefore, in one hour Jill mows 1/x of the lawn
Therefore, the equation to solve the question will be:
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
x = 12
Therefore, it takes Jill 12 hours to mow the lawn.
Learn more about equations on:
https://brainly.com/question/2972832
help please i cant do this LOL
Answer and Step-by-step explanation:
Answer is in picture.
First you need to translate (or move) to the right 1 unit, the translate (or move) downwards 5 units.
Then, reflect the points over the y-axis (reflecting is like when you see your reflection in a mirror, how your hand lines up with the hand in the mirror)
#teamtrees #PAW (Plant And Water)
An account is compounded continuously at 4.5% interest. What was the initial amount deposited if after 8 years it is worth $1720?
9514 1404 393
Answer:
$1200.00
Step-by-step explanation:
The balance is given by the formula ...
A = Pe^(rt) . . . . . principal P invested at annual rate r for t years
Using your numbers, we can find P to be ...
P = Ae^(-rt) = $1720·e^(-0.045·8) = $1720·e^-0.36
P ≈ $1200.00
Complete the function table
Answer:
8, 6, 3, 2, 1
Step-by-step explanation:
g(x) = -x + 3
using g(x),
g(-5) = (-1 x -5) + 3
= 5 + 3
= 8
g(-3) = (-1 x -3) + 3
= 3 + 3
= 6
g(0) = 0 + 3
= 3
g(1) = -1 + 3
= 2
g(2) = -2 + 3
= 1
English
V
ARMANI TH
Quick
Check
Choosing a Table
The time spent dancing (minutes) and the amount of calories burned can be modeled by the equation c = 5,5t.
Which table of values matches the equation and includes only viable solutions?
Time (t)
Calories (c)
Time (t)
Calories (c)
Time (t)
-5
Calories (c)
-27.5
0
0
-20
0
-110
0
5
27.5
-15
-82.5
5
27.5
10
55
-55
10
55
-10
-5
15
82.5
-27.5
o
O
Answer: option b
Step-by-step explanation: i hope this helps :)
Fill in the blank. The solution to 2x - 2 + 5 = 13 is .
Paula needs to replace the floor in her family room since her cat peed in several places. She wants to put down both vinyl flooring and carpet in the room. The carpet she selected costs $2 per sq. foot. The vinyl floor covering costs $1 per sq. foot. She has $500 to spend on materials and must cover an area of 300 sq. feet. How much carpet and vinyl flooring will she buy to meet her requirements?
Answer:
c = amount of carpet flooring; v = amount of vinyl flooring2c + 1v = $500v = 100 sq. ft.c + v = 300c = 200 sq. ft.
Step-by-step explanation:
the anwser
What is 1/5 as a whole number and what is 1/3 as a whole number? Please help I need this because I’m trying to do my work but I don’t know this ;(
Answer:
1/3 and 1/5 are not whole numbers because they are both fractions.
the closest you could get is 0.20 and 3.33
Step-by-step explanation:
1/5 = 0.2 x 10 = 0.20
1/3 = 0.333 x 10 = 3.33
Which of the following expressions are equivalent to (6.2 +6.2) +9.4
Answer:
21.8
Step-by-step explanation:
(6.2 + 6.2) + 9.4
12.4 + 9.4
21.8
The answers arent there ;-;
(12.4) + 9.4 = 21.8
I will give Brainly, only answer if you’re sure :) thank you
Answer:
-3,2
Step-by-step explanation:
Answer:
(-3, 2)
Step-by-step explanation:
From the graph we can read off the x- and y-coordinates: -3 and 2. Thus, the vertex, which is also the minimum value, is (-3, 2).
In the following table y is proportional to x.
What is the constant of proportionality?
A. 5/14
B. 5/7
C. 7/5
D.20/7
PLEASE HELP FAST 19POINTS
Answer:
m=18 because the oxf =3m so
3m+3m+4m=10
180÷10=m
m=18
find the area of sector AOB given that angle AOB is 60°and radius of the circle 7cm
Answer:
25.67cm²
Step-by-step explanation:
the area of sector= 60/360 × 22/7× 7²=
1/6 × 154 = 25.67 cm²
Answer:
25.67
Step-by-step explanation:
The diagram shows two lighthouses A and B and a port P
A boat is on a bearing of 340° from lighthouse A and 245° from lighthouse B.
a) Mark, with a cross, the position of the boat on the map.
b) What bearing should the boat sail on to enter the port?
Answer:
B) is 085 degrees
Step-by-step explanation:
A) From point 'a', measure around 336 degrees bearring and then put the line there. Then, from point 'b' measure around 250 degrees when measuring north.
I hope this makes sense lol, I pretty much guessed the answered so don't expect a proper explanation. :'(
Anyways, there is a screenshot attached that might help.
Solve for a
4a - 2 = 2a +6
Answer:
a = 4
Step-by-step explanation:
4a - 2 = 2a +6
+2 +2
4a = 2a + 8
-2a -2a
2a = 8
/2 /2
a = 4
Find the radius and circumference of this pizza. Round to the nearest hundredth if necessary
Pls anyone I need answer of this urgent PLEASE
Answer:
Q.#1 is a
Q.#2 is d
Step-by-step explanation:
hope this helps:)
Geraldine invests $2,500 in a retirement account with a fixed annual interest rate of 9.5% compounded
every month. What will the account balance be after 15 years?
Answer:
FV= $10,342.64
Step-by-step explanation:
Giving the following information:
Initial Investment (PV)= $2,500
Interest rate (i)= 0.095/12= 0.00792
Number of periods (n)= 15*12= 180
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,500*(1.00792^180)
FV= $10,342.64
A bag contains 10 marbles: 2 are green, 2 are red, and 6 are blue. Yolanda chooses a marble at random, and without putting it back, choose another one at random. What is the probability that both marbles she chooses are green? Write your answer as fraction in simplest form.
Answer:
2/10 = 1/5
Step-by-step explanation:
Caleb’s parents gave him a used car, and he pays his own insurance, which is $110 a month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.
What are Caleb's total regular monthly expenses?
110 + 65 + 30 = $205
Answer: Calebs total regular monthly expenses would be $205
Step-by-step explanation:
Hope this helps
5) Find the measure of the unknown
angle in the triangle
O 100°
O 105
106
0 112
PLEASE HELP
Which system has no solutions?
A. x > 3
x < 1
B. x < 3
x > 1
C. x < 3
x < 1
D. x > 3
x > 1
Answer:
the answer is C. x<3 x<1 that is the answer
What is the value of x in the equation (x + 12) = { x + 14) - 32
-24
-6
Answer: 4x=35
Step-by-step explanation:
4-8=4 4x=35
Portia has purchased a new aquarium for her fish. It is in the shape of a hexagonal prism. 3a) How much water can Portia’s new aquarium hold? * 1 point a) 166.28 cubic inches b) 790.28 cubic inches c) 956.56 cubic inches d) 3120 cubic inches e) 6240 cubic inches
Answer:
D. 3120
Step-by-step explanation:
How many sides does a hexagon have? Six. Let's begin our equation with 6. The area of a triangle formula would be: 1/2 bh. And a hexagon is just six triangles put together. Now our equation is: 6 (1/2 bh) What's bh then? B (base)= 8in. The base is usually always at the bottom. Now we take 10 and add it into the equation. Next we would multiply this by 13. Our equation is now: 6(1/2*8*10)*13. What do you get then? 3120.
For Part B: Portia's new fish require complete darkness for 12 hours a day. Rather than buying a blackout curtain for her room, she decides to make an aquarium cover out of a tropical print, with a blackout liner. How much tropical print fabric will she need to purchase in order to cover the top and sides of the aquarium?
Now, we're dealing with surface area. What is surface area, anyway? Surface area is the sum of all faces. There are 2 hexagonal faces and 6 sides.
What is 6*1/2 *8? 24! Now what's 10*24? That's right, 240!
8*13=104
6(104)=624
624+240=864
5. Which of the following functions models exponential growth?
x
A. f(x) = 12 ()
B. f(x) = 2(.87)*
c. f(x) = -3(x)2
D. f(x) = 4(1.07)
Answer:
D
Step-by-step explanation:
I believe it's D but not 100%
please help this is overdue and i get my grades tmr
Answer:
162 sq
Step-by-step explanation:
6 x 9 x 3 = 162
unless im wrong :/
Answer:
The surface area is 198 square centimeters.
Step-by-step explanation:
A = 2 · (wl + hl + hw)
2 · (6 · 9 + 3 · 9 + 3 · 6)
198
Suppose that a regression line for some data transformed with logarithms predicts that when x equals 7. logi) will equal 1.755. What does the regression line predict y will equal when xequals 7? Round your answer to the nearest whole number A. 57 O OB. 12 Oc. 2 O D. 30
Answer:
A: 57
Step-by-step explanation:
We are told that;
When x = 7, log y = 1.755
Since we want to find the value of y when x = 7, and the log function is in base 10, we will just use anti log to solve for y in the equation.
Thus;
Log₁₀y = 1.755
y = 10^(1.755)
y = 56.89
Approximating to a whole number gives;
y = 57
What is the area of this polygon on a coordinate plane?
10 square units
20 square units
16 square units
12 square units
Answer:
10 squareunits
Step-by-step explanation:
have tht is a great day today with my family and my answer is no longer have to get
Answer:
10
Step-by-step explanation:
simplify 3a/a^2-9a+18-2/a-6
Answer:
A or C
Step-by-step explanation:
Andy buys a rectangular rug that is 92 centimeters long and 80 centimeters wide. What is the area of the rug?
Answer:
7360² cm.
Step-by-step explanation:
area=length(width)