Randy and Trey take turns cleaning offices on the weekends. It takes Randy at most 4 hours to clean the offices. It takes Trey at most 6 hours to clean the offices. What is the greatest amount of time it would take them to clean the offices together?
2.4 hours
2.5 hours
3.0 hours
4.0 hours
The answer is supposedly 2.4 hours, but how ?? Please explain. Thanks!
In one hour Randy cleans at least 1/4 of the offices and in one hour Trey cleans at least 1/6 of the offices.
Working together they would clean at least 1/4 + 1/6 = 5/12 of the offices.
Let x be the greatest amount of time it would take them to clean the offices together. Then we can write the following equation:
5x/12=1
a times b whole cube
Answer:
i don't know what's the question
Step-by-step explanation:
like I don't know
Name a pair of angles that are a linear pair
Choose the correct answer below.
A.
B.
C.
D.
Answer:
a but
Step-by-step explanation:
i think a
[tex]2 \times 3 + 45 \div 2 - 6 + 9[/tex]
Answer according to BODMAS
Answer: 31.5
Step-by-step explanation:
Answer: 31.5
Concept:
When encounter questions that ask for operation on algebraic expressions, using BODMAS or PEMDAS method would be easier. Since this question asked for using BODMAS, then it is:
BracketOrderDivisionMultiplicationAdditionSubtractionSolve:
Given
2 × 3 + 45 ÷ 2 - 6 + 9
Simplify by division
=2 × 3 + 22.5 - 6 + 9
Simplify by multiplication
=6 + 22.5 - 6 + 9
Simplify by addition
=28.5 + 9 - 6
=37.5 - 6
Simplify by subtraction
=31.5
Hope this helps!! :)
Please let me know if you have any questions
Kai took a trip from Stratford to Paris in 2013, and needed to exchange 500 British
pounds for euros. The exchange rate was 1 pound to 1.23 euros. How many euros did Kai
receive in this exchange?
Answer:
500pounds×1.23euros
=615eurosIn the figure, M and N are midpoints of RT and ST. What is the length of MN
Answer:
b - a
Step-by-step explanation:
Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length
The midpoint formula is
( (x1 + x2)/2, (y1 + y2) / 2 )
So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)
And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)
Because the y-coordinates are the same (d), the distance from M to N is,
final x-coordinate minus initial x-coordinate
x-coordinate of N minus x-coordinate of M
(c + b) - (a + c)
Distribute the negative and remove the parentheses
c + b - a - c
Group the cs together
c - c + b - a
Cancel out the cs
b - a
please help this 2 sums
Answer:
Step-by-step explanation:
Sin (A + B) = Sin A *Cos B + Cos A *Sin B
Sin 75 = Sin (30 + 45)
= Sin 30 * Cos 45 + Cos 30 * Sin 45
[tex]= \dfrac{1}{2}*\dfrac{1}{\sqrt{2}}+\dfrac{\sqrt{3}}{2}*\dfrac{1}{\sqrt{2}}\\\\\\= \dfrac{1}{2\sqrt{2}}+\dfrac{\sqrt{3}}{2\sqrt{2}}\\\\= \dfrac{1+\sqrt{3}}{2\sqrt{2}}[/tex]
hi guys i need help with this problem ASAP! Thanksss
Answer:
56
Step-by-step explanation:
There are 8 members therefore if each other makes an exchange to one another, that would be 7 exchanges per person. 8*7= 56
[tex]\huge\mathfrak\green{ hope \: it \: helps}[/tex]
Question in photo. Please explain it too
=============================================================
Explanation:
Let's say that all of the 11 songs are 2 minutes each, which is just a bit under the "2 minute 1 second" mark of the shortest song. I'm going for the lowest time value possible and rounding to the nearest minute.
This would mean the entire album is 2*11 = 22 minutes long. This is the lower bound or the shortest the album can be.
If we go to the other end of the spectrum, and say each song is 6 minutes (I rounded "5 minutes 37 seconds" up to the nearest minute), then the album is now 6*11 = 66 minutes long. This is the upper bound or the longest the album can be.
While we don't know how long the album is exactly, due to the fact we don't know the individual song lengths (other than the shortest and longest songs), we do know 100% that the album length is somewhere between 22 minutes and 66 minutes.
In other words, 22 < x < 66 where x is the album length in minutes.
Of the four answer choices, 44 is the only one that fits, i.e. 22 < 44 < 66.
So I would say 44 minutes is a reasonable estimate. Or better yet, we can rule out 4 minutes, 88 minutes and 10 minutes as they don't fit in the interval 22 < x < 66.
Susan has four 20 point projects for math class. Susan’s scores on the first three projects are 18, 15,
and 16.
What score does Susan need to earn on project #4 to earn an 85% total average?
Answer:
Step-by-step explanation:
17*4=68
68-18=50
50-15=35
35-16=19
19
measure of angle JKM if measure of angle JKL = 42° and measure of angle LKM = 28°
Answer:
80 degrees
Step-by-step explanation:
add both the angles
Pls Help!! Alex is making bows for her friends out of a long piece of ribbon. A. Alex needs 9 inches of ribbon to make a bow. If she has a foot of ribbon, what fractional part of this length of ribbon is needed to make a bow? (Note: 1 foot = 12 inches)
Also explain how you found your answer.
Answer:
3/4 of the ribbon is needed to make a bow
Step-by-step explanation:
12 ÷ 4 = 3
so out of that foot of ribbon you use 3/4 of it for the bow
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
7
If 8(x - 2y) = 16x, then what is x in terms of y?
Answer: y = -1/2x
8(x - 2y) = 16x
8x -16y = 16x
-16y = 16x-8x
-16y = 8x
-16y/-16= 8x/-16
y = -1/2x
HELP PLS: If f(x) = 2x – 3 and g(x) = 2x2 + 5x + 1, find:
a. f(4) + g(1)
Answer:
13
Step-by-step explanation:
f(x) = 2x - 3,
f(4) = 2(4) - 3,
f(4) = 5
g(x) = 2x^2 + 5x + 1,
g(1) = 2(1)^2 + 5(1) + 1,
g(1) = 2 + 5 + 1,
g(1) = 8
f(4) + g(1) =
5 + 8 =
13
Hope this helps :)
Answer:
Step-by-step explanation:
Christine’s video store membership costs $5, and it costs $3.50 to rent a DVD. Christine spent $29.50 her first month. How many DVDs did she rent? Write as an equation.
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.
Next, we want to figure out how much g(x) is a compression/stretch of x.
In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.
A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have
kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B
In the x direction, at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.
f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have
f(kx) = f(3x) = (3x)² = 9x² = B
Ajay is on the swim team. He improved his time on
the 50-yard freestyle from 32 seconds to 31 seconds.
What's the percent decrease in his time?
Answer:
5%
Step-by-step explanation
50/32= 1.56yard per second ; 50/31= 1.61 yard per second
1.61-1.56= 0.05* 100= 5%
please help me is for my homework
Answer:
14/100
Step-by-step explanation:
14/100
=7/50
14% is equal to 7/50
f(r)=3.14r2 what is f(7)?
Hi :)
f(r) = 3.14r2
f(7) = 3.14(7)(2)
f(7) = 43.96
A small bag of 12 tiny potatoes costs 8.78........ how much does one potato cost?
calculate the gradient of the straight line that passes through G(-6,4) and H(2,-4)
Answer:
-1
Step-by-step explanation:
gradient = [tex]\frac{y1-y2}{x1-x2}[/tex]
= (4-(-4))/ (-6-2) = 8/-8 = -1
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
~Simplify
-6x + 8 - x - 3
-7x + 5 = 33
~Subtract 3 to both sides
-7x = 28
~Divide -7 to both sides
x = -4
Best of Luck!
Answer:
x = -4
Step-by-step explanation:
-2(3x - 4) - x - 3 = 33
solve the brackets first
-6x + 8 -x -3 = 33
-6x - x + 8 - 3 = 33
-7x + 5 = 33
-7x = 33-5
-7x = 28
x = 28/ -7
x = -4
please solve this please anyone...
Answer:
A.
f(1.999)= 5(1.999) +1
= 9.995 + 1
=10.995
B. 11
Step-by-step explanation:
[tex]f(x) = 5x + 1 \\ f(1.999) = 5 \times 1.999 + 1 = 9.995 + 1 \\ = 10.995 \: can \: round \: in \: to \: 11 \\ thank \: you[/tex]
Ted mixed together 3 gal. of Brand A fruit
drink and 6 gal. of Brand B fruit drink
which contains 20% fruit juice. Find the
percent of fruit juice in Brand A if the
mixture contained 25% fruit juice.
Answer:
The mixture for Brand A fruit is 5%.
Simplify the following expression into a fraction with no exponents. Write your answer in the form a/b.
4^-4
Answer:
1/256
Step-by-step explanation:
4^-4
~Use negative exponent rule [ a^-b = 1/a^b ]
1/4^4
1/256
Best of Luck!
please help me solve this
(3/4)^2+1/8+1/4•3/2= ?
Answer:
This was a little tricky but the answer is 2 7/16
Step-by-step explanation:
15
16
+
3
2
=
15
16
+
3 × 8
2 × 8
=
15
16
+
24
16
=
15 + 24
16
=
39
16
=
2 7/16
Help me please look at the pictures
for what value of x does 4x = (1/8) x+5
Answer: Use main properties of powers
to simplify given equation.
1.
2.
3. Then the equation is
The bases are the same, so equate the powers:
2x=-3x-15,
2x+3x=-15,
5x=-15,
x=-3.
Answer: for x=-3.
Step-by-step explanation:
Answer:
40/31
Step-by-step explanation:
4x = (1/8)x + 5
=> 4x - 5 = (1/8)x
=> 8(4x-5) = x
=> 32x - 40 = x
=> 32x - x = 40
=> 31x = 40
=> x = 40/31
Two functions are given ; f(x) = x^2+2x-1 and g(x) =5x+3 . Find the value of x if f(x) = g(x). . Also find f(-4) and g(9
