Both of them can complete 7/12 of the job in 2 hours.
What is rate?Rate is the mathematical term use to show how one quantity varies with a standard quantity.
Analysis:
If He can do the job in 8 hours, then he can do 1/8 of the job in 1 hour
If his friend can do the same job in 6 hours, then he can do 1/6 of that job in 1 hour.
So both of them would do the same job combine in 1 hour = 1/8 + 1/6
LCM of 6 and 8 is 24 so that 3/24 + 4/24 = 7/24
In 2 hours they would complete = 7/24 x 2 = 7/12
In conclusion, both of them can do 7/12 of that job in 2 hours.
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Please answer this question ASAP
Neil is making colorful friendship bracelets for 6 of his friends. He has all of the colors of
thread he plans to use except for green. If every bracelet uses 22 inches of each color of
thread, how many feet of green thread should Neil buy from the craft store?
Answer:
11 feet(or 132 inches)
Step-by-step explanation:
Since there are 6 bracelets to make, we can multiply 22 and 6 to get 132.
The correct unit / format to answer this is in feet and all we have right now is the amount of inches we must convert.
132 inches converted into feet can be found by dividing by the amount of inches there are in a 1 foot.
Since there are 12 inches in a foot, we can divide 132 by 12 to get 11.
If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
x – 7
x – 3
7x – 7
7x + 3
Answer:
[tex]PS = 7x- 7[/tex]
Step-by-step explanation:
Given
Straight Line, PS
Such that
[tex]PR = 4x -2[/tex]
[tex]RS = 3x - 5[/tex]
Required
Find PS
From the attachment above, it can be seen that RS is a continuation of PS;
This implies that
[tex]PS = PR + RS[/tex]
Substitute [tex]PR = 4x -2[/tex] and [tex]RS = 3x - 5[/tex]
[tex]PS = 4x - 2 + 3x - 5[/tex]
Collect like terms
[tex]PS = 4x + 3x- 2 - 5[/tex]
[tex]PS = 7x- 7[/tex]
Hence, the length of PS is [tex]PS = 7x- 7[/tex]
Factor 3x3 + 27x2 + 60x.
A. (x + 5)(x + 4)
B. (x + 6)(x + 10)
C. 3x(x + 5)(x + 4)
D. 3x(x + 6)(x + 10)
Answer:
3x( x+5) (x+4)
Step-by-step explanation:
3x^3 + 27x^2 + 60x.
Factor out the greatest common factor
3x( x^2 +9x+20)
Now factor inside the parentheses
What two numbers multiply to 20 and add to 9
5*4 = 20
5+4 =9
3x( x+5) (x+4)
Answer:
[tex]\mathrm{C}[/tex]
Step-by-step explanation:
[tex]3x^3 + 27x^2 + 60x[/tex]
[tex]3x\left(x^2+9x+20\right)[/tex]
[tex]3x[x\left(x+4\right)+5\left(x+4\right)][/tex]
[tex]3x\left(x+4\right)\left(x+5\right)[/tex]
Consider the function y = f(x) = 3
The values of (1) and ((t), rounded to the nearest hundredth, are
and
, respectively.
Answer:
f(½) = 1.73
f(¼) = 1.32
Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
BC=10
Step-by-step explanation:
BD-BC=14-4=10
Answer:
BC is 10
Step-by-step explanation:
BD is the whole thing
CD and BC make up BD
so BD-CD=BC
14 - 4 = 10
BC is 10
What are the coordinates of M' after triangle MNO is reflected over the y-axis, and rotated 90 degrees clockwise with
the origin as the center of rotation?
Answer:
I'm not sure, but I think it is (0, -6).
solve the following system of equations: 2x+3y-z=1 3x+y+2z=12
x+2y-3z=-5
Answer:
x=-3 y=19/7 z=7
Step-by-step explanation:
Suppose the x-axis of a density graph represents someone's weight in
pounds. If the area under the density graph from 120 pounds to 140 pounds
is 0.28, what is the probability of someone's weight being anywhere from 120
pounds to 140 pounds?
A. 52%
B. 34%
C. 46%
D. 28%
Answer: .28
Step-by-step explanation:
Write a word problem for which you would use the equation 2/5x + 6 = 56
Answer:
Isha is at an arcade. There is a base fee of $6 to enter the game room. Every game costs $0.4 or 40 cents to play. If Isha ends up spending $56 at the arcade, how many games did she play?
An explanation:
The base fee of $6 represents the constant 6 in the equation. Every game costs $0.4, which equals 2/5.
Hope this helps! If you don't like this one I might be able to think of another one :)
There are some sweets in a bag 18 of the sweets are toffees and 12are mints write down the ratio of them in the simplest form
Answer:
3:2
Step-by-step explanation:
18:12
simplest form =3:2
Answer:
3:2
Step-by-step explanation:
Divide both sides by 6
How many real and complex roots exist for the polynomial
F(x) = x3 + 2x2 + 4x +8 ?
Answer:
It has one real root and two complex roots
That's is
- 2
2i
-2i
Hope this helps.
Which is equivalent to log2n=4?
Answer:
23
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is D
Note that the base in both the exponential form of the equation and the logarithmic form of the equation is "N", but that the x and y switch sides when you switch between the two equations. If you can remember this — that whatever had been the argument of the log becomes the "equals" and whatever had been the "equals" becomes the exponent in the exponential, and vice versa — then you should not have too much trouble with solving log equations.
The first pool already contains 20 gallons of water and is being filled at the rate of 5 gallons per minute. The second pool already contains 50 gallons of water and is being filled at a rate of 3 gallons per minute. After how many minutes will the pools have the same amount of water?
Answer:
After 15 minutes, they will both have 95 gallons of water.
Step-by-step explanation:
plz find length of ac thx!
Answer:
AC= 5.05 or just 5
Step-by-step explanation:
The first step to finding AC is finding AD.
And to find AD we have to use 3.8 and 6.8.
So first using the Pythagorean Theorem which is [tex]a^2+b^2=c^2[/tex].
In this case we are trying to find a which is a leg.
So knowing b and c we plug those in and this is what we get [tex]a^2+(3.8)^2=(6.8)^2[/tex] so now we do 3.8 squared which is 14.44 and 6.8 squared which is 46.24. So now to simplify it.
So our equation right now looks like this -> [tex]a^2+14.44=46.24[/tex] To simplify this we subtract 14.44 from 46.24 and we get 31.8.
Now we can still simplify it even more by taking away that square on the a.
We can so that by finding the square root of a and 31.8.
The square root of a is a and the square root of 31.8 is 5.6 rounded to the nearest tenth. so now that we know AD which is 5.6 we can find AC.
5.6 is the hypotenuse and 2.5 is a leg so right now we are trying to find AC which is another leg. So using the Pythagorean Theorum we can plug all the numbers in the equation or formula. [tex](2.5)^2+b^2=(5.6)^2[/tex]. So Simplyfying 2.5 and 5.6 we get. [tex]6.25+b^2=31.8[/tex] we will make it 31.8 instead of 31.36 because that was the original one. So 31.8-6.25 is 25.55. And 25.55’s square root is about 5.05 rounded to the nearest hundredth.
Which function has the graph shown?
A. y = -cosx
B. y = sin(-x)
C. y = cos(x-pi/2)
D. y = cosx
Answer:
B
Step-by-step explanation:
The graph is a sine curve but multiplied by -1
The function that has the graph shown in the image is negative sine function (y = sin(-x).
What is sine curve?A sine graph or curve is a type of graph that moves in a sinusoidal wave form.
A sine function is maximum at 90 degrees or pi/2 radians.
From the given graph, it follows a sine wave pattern but starting from the negative direction.
Thus, the function that has the graph shown in the image is negative sine function (y = sin(-x).
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the sum of 5 and a number is 25
Answer:
20
Step-by-step explanation:
A chef is estimating the cost to prepare a fixed-price menu for x guests. The anticipated cost of the appetizers is a(x)=3.25x. , the anticipated cost for the main course is m(x) = 5.25x , and the anticipated cost for the dessert course is d(x)=1.25x. If the functions are combined so that c(x) = a(x) + m(x) + d(x) then the function c(x) includes the point (40, ? )
Answer:
Correct answer is 210 I believe
Step-by-step explanation:
The summation of the given functions a(x),m(x), and d(x) will be as c(x) = 9.75x thus it will include the point (40,390).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given functions,
a(x) = 3.25x , m(x) = 5.25x and d(x)=1.25x.
The combined function is written as,
c(x) = 3.25x + 5.25x + 1.25x
c(x) = 9.75x
At x = 40
c(40) = 9.75 x 40 = 390.
Thus, it will satisfy the point (40,390)
Hence "The summation of the given functions a(x),m(x) and d(x) will be as c(x) = 9.75x thus it will include the point (40,390)".
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Find the ratio that is equivalent to 10:5. A. 15:5 B. 5:10 C. 2:1 D. 5:1
Answer:
C 2:1
Step-by-step explanation:
10 is double 5
and 2 is double 1
Answer:
C 2:1
Step-by-step explanation:
this is the answer
3 more sentences to describe the line plot picture above
Answer:
1) Length 22 and 26 have the same amount of desks that have the same length
2) Lengths 21, 23, 25, and 27 have the equal amount of tables
Step-by-step explanation:
3) There are 12 desks in total
Explanation of Sentence 1 is that lengths 22 and 26 both have 3 tables that are its length
Explaination of Setence 2 is that lengths 21, 23, 25, and 27 all have 1 desk that is its length
Explaination of sentence 3 is that there are 12 desks that are measured.
If this helped please mark me brainliest :)
Carol has 88 cm of string and cuts it in the ratio 5 : 6. What is the total parts?
Answer:
5+6= 11
88/11= 8
5x8= 40
6x8= 48
Answer:
She cuts two parts; one of them measures 40 cm and the other measures 48 cm.
Step-by-step explanation:
The ratio 5:6 means that she cut one part 5 units and the other 6 units. The units are the sum of both numbers, meaning here that she cud one piece 5/11 and the other 6/11. Doing the math,
88/11=8. 5x8=40. 6x8=48
Hope this helped you!! :D
Andrew has pencils and erasers. The ratio of the number of his pencils to the number of erasers is 2:6. If Andrew has 36 erasers how many pencils does Andrew have?
Answer:
12
Step-by-step explanation:
pencil:eraser
ratio = 2:6
? : 36
36 ÷ 6 = 6
to get the unknown value you multiply 2 x 6
= 12
please mark me brainliest :)
A is a solid consisting of two polygons that are parallel to each other
and all points between them.
A. triangle
B. prism
C. pyramid
D. cube
Answer:
prism
Step-by-step explanation:
a pex, just did it
Answer:
prism
Step-by-step explanation:
just took the quiz
what is the answer asap someone pls make my day :)
Answer:
Total lateral surface of the pyramid is: [tex]11.25 \,\,cm^2[/tex]
which agrees with the second option shown among the list of possible answers
Step-by-step explanation:
The total surface area of this square based pyramid consists of the addition of four triangles (the four lateral faces) of base 1.5 cm and height 3 cm, plus the area of its square base (1.5 cm x 1.5 cm).
Recall that the area of a triangle is defined as the product of its base time its height, divided by two. So the total surface for this pyramid is:
[tex]Total\,\,Area= 4\,*\,Area_{triangle}+Area_{square}\\Total\,\,Area= 4\,* \frac{1.5\,*\,3\,}{2} +1.5^2\\Total\,\,Area= 9\,+2.25 \,\,cm^2\\Total\,\,Area= 11.25 \,\,cm^2[/tex]
Answer:
11.25
Step-by-step explanation:
4*1.5*3/2+1.5*1.5
2*4.5+2.25
11.25cm2
Simplify square root of five times square root of eight. two square root of ten four square root of ten square root of forty square root of thirteen
Answer:
two square root of ten - A
Step-by-step explanation:
[tex]2\sqrt10[/tex]
Brainliest Plzzz!!!!
Answer:
2 square roots of 10
Step-by-step explanation:
What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8
Answer:
Interpreting as: x^2/3=x^1/3+4=6 A
Input:
x^2/3 = x^(1/3) + 4 = 6 A
A table has an area of 12 ft^2 and a perimeter of 16 ft. What are the dimensions of the table?
Answer:
2 and 6
Step-by-step explanation:
Well if the are is 12ft^2 and the perimeter is 16 ft then the length is 6 ft and the width is 2 ft.
So 6+6+2+2=16
6*2 is 12
Answer:
Step-by-step explanation:
hello,
we can assume that the table is a rectangle
so let's note x , y its length and width, we can write
(1 ) 2(x+y)=16
(2) xy=12
x and y are different from 0 and from (2) we can write
y =12/x we replace it in (1)
x+12/x=16/2=8
[tex]<=> x^2+12=8x\\<=> x^2-8x+12 = 0\\<=> x^2 -2x-6x+12=0\\<=> x(x-2)-6(x-2)=0\\<=> (x-6)(x-2)=0\\<=> x = 6 \ \ or \ \ x=2[/tex]
for x = 6 y = 2
for x = 2 y = 6
so the dimensions of the table is 2ft x 6ft
hope this helps
What is the equation of the graph below?
Hey there! :)
Answer:
[tex]y= cos (x+ \pi })[/tex]
Step-by-step explanation:
Normally, in the parent function y = cos x, when X = π, Y = -1. However, in this graph, when X = 0π, Y = -1.
Therefore, there has been a horizontal shift of π to the left. The new equation would be:
[tex]y= cos (x+ \pi })[/tex]
Joel, a tutor at the Math Help, decided that it would be a good
idea to drive his motorcycle off of a ramp. His height during the
jump is modeled by the equation: h=-0.2+ + 2t + 1. where h is his
height in metres, and t is time in seconds. What is the maximum
height Joel reaches on his bike, and when does he reach this height?
Answer:
The maximum height reached by Joel was 6 units.
Step-by-step explanation:
There seems to be a typo in the equation that models the Joel's jump. I'll assume it actually is [tex]h(t) = -0.2*t^2 + 2*t + 1[/tex], because that kind of movement is usually modeled with quadratic equations such as this. With this in mind, in order to find the maximum height Joel reached we need to calculate the vertex of this equation. The vertex of a quadratic equation [tex]y(x) = a*x^2 + b*x + c[/tex] can be calculated with the following expression:
[tex]x_{vertex} = \frac{-b}{2*a}[/tex]
While the "y", is found by applying the x coordinate of the vertex onto the equation. In the case of our problem a = -0.2, b = 2 and c = 1. Therefore the vertex can be found at:
[tex]t_{vertex} = \frac{-2}{2*(-0.2)} = \frac{-2}{-0.4} = 5[/tex]
Therefore the maximum height is:
[tex]h(5) = -0.2*(5)^2 +2*5 + 1\\h(5) = -5 + 10 + 1 = 6[/tex]
The maximum height reached by Joel was 6 units.
Someone please help!
Answer:
I think (D) is right but at the same time (A) makes sence to.
Step-by-step explanation:
