If the two of you can wash 1 car in 6 minutes:
It will take you 10 minutes to wash the car alone
take your friend 15 minutes to wash the car alone
Let the duration you can work be represented by y
Let the duration your friend can work be represented by x
You can wash a car 1.5 times as fast as your friend
That is, y = 1.5x
Working together, the two of you can wash 1 car in 6 minutes
This can be represented by the equation
[tex]\frac{1}{x}+\frac{1}{y} = \frac{1}{6}[/tex]
Substitute x = 1.5y into the equation above
[tex]\frac{1}{1.5y}+\frac{1}{y} = \frac{1}{6}\\\\\frac{1+1.5}{1.5y} = \frac{1}{6}\\\\\frac{2.5}{1.5y} = \frac{1}{6}\\\\1.5y=2.5(6)\\\\1.5y=15\\\\y=\frac{15}{1.5} \\\\y=10[/tex]
It will take you 10 minutes to wash the car alone
Substitute y = 10 into x = 1.5y
x = 1.5(10)
x = 15 minutes
It will take your friend 15 minutes to wash the car alone
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-9y + 8(4z + 3y) -6x
PLZ HELP
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year
Step-by-step explanation:
x = how many games won last year
x - 1 = how many games won each year
Cindy made a scale drawing of a game room. The pool table, which is 8 feet long in real life,
is 4 inches long in the drawing. What is the scale of the drawing?
1 inch:
feet
Answer:
1 inch = 2 feet
Step-by-step explanation:
Answer:
1 inch ÷ 2 feetStep-by-step explanation:
According to given:
8 feet → 4 inDivide both by 4 to get the scale of drawing:
8/4 feet → 4/4 in2 feet → 1 inHELP PLS ASAP PLS PLS PLS
Answer:
Step-by-step explanation:
m = 63°
n = 135°
p = 63°
r = 112.5°
s = 50°
t = 67.5°
find the sum of the first 10 terms of the geometric series 1+10+100+1000+...
(with solution)
PA HELP PO THANKSSS
Answer:
1111102111
Step-by-step explanation:
a = 1
r = 10
∑1x10^n = 1111102111
where n starts from 1 to 10
the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
Learn more about the exponential function here:
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Geometry problem, solve for X
Answer:
7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
Parallel lines with transversal
The angles are the same because of corresponding angles
130=19x-3
133=19x
133/19=x
x=7
Aubree is throwing a pizza party. She has 3 pounds of cheese available and she
needs , pound of cheese to make each pizza. How many pizzas can she make?
Answer:
10 2/3
Step-by-step explanation:
16 x 2/3
32/3 or 10 2/3
Find the slope between the following points. Make sure you simplify!!:
(-5, 8) and (-11,8)
Answer:
0
Step-by-step explanation:
use the slope formula
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
(-5, 8); -5 is x1 and 8 is y1
(-11, 8); -11 is x2 and 8 is y2
Plugin the numbers and solve.
[tex]m = \frac{8 - 8}{ - 11 - - 5 } \\ \\ m = \frac{8 - 8}{ - 11 \ + 5} \\ \\ m = \frac{0}{ - 6} \\ \\ m = 0[/tex]
Select the correct range of the function represented by the graph.
Answer:
[-1,3]
Step-by-step explanation:
How do I simplify 12+2c+6d-8c+d
Hello there! :)
12+2c+6d-8c+d
Combine like terms:
2c-8c+d+6d+12
-6c+7d+12
Hope this helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
The simplified equation will be 12+7d-6c. By adding the same terms the equation can be simplified.
What is simplification?Simplification is to make something easier to do or understand and to make something less complicated.
The given equation is;
12+2c+6d-8c+d
By adding the same terms the equation can be simplified;
[tex]\rm 12+2c+6d-8c+d \\\\ 12+7d-6c[/tex]
Hence the simplified equation will be 12+7d-6c.
To learn more about the simplification refer to the link;
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does the graph represent a function? yea or no
Answer:
No
Step-by-step explanation:
Is anyone can do this?
Answer:
Surface of[tex]35,875.86 cm^2[/tex]
Voliume of [tex]234,671.58 cm^3[/tex]
Long and painful calculations
Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.
Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]
We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]
Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]
Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]
Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]
Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].
Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]
Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]
Volumes now. You wished this was over? I totally did.
Bulk of the calculations are done luckly. It's just to cut and paste here and there.
Pyramid first. We know the side length, we know the height, volume is the usual formula
[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]
Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:
[tex]54*54*70= 204,120 cm^3[/tex]
Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:
[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]
From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]
We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]
Double and triple check numbers, even if I rand them with excel.
Someone plz help me :(
Answer:
I think it's D
Step-by-step explanation:
Their talking about "the difference", and since we all know difference with numbers mean subtraction. So it is 150-99 I'm sure.
9,654 rounded to the thousands place
Answer:
10,000
Step-by-step explanation:
So 9 is the thousands place.
To round you just gotta see if 5 or up or 4 or down.
so it’s 5 or up so we add 1
so 10,000
Serena’s average speed during her training run was 8 kilometers per hour over the 2 hours that she ran. What was the total distance that she ran?
Use the formula d = rt, where d represents the distance, r represents the rate, and t represents the time.
4 km
Step-by-step explanation:
so, we just enter the given data into the given formula. and then calculate. it does not get easier than that.
d = 8km/h × 2h = 16km
Serena ran 16km in these 2 hours.
Answer:
the correct answer is 16km
Step-by-step explanation:
pl.z dont delete this
How do you solve 5x+17>5(2x+1) algebraically?
Answer:
x < 12/5
Step-by-step explanation:
First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.
Next, subtract 5 on both sides to get
5x + 12 > 10x.
Afterwards, subtract the 5x on both sides to get 12 > 5x.
Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.
Hope this helps you :)
please help!! graph y=-4/3x+8
Answer:
put a point on (0,8) and (4,3)
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
what fraction is this shape is shaded
Please help, I need this done within 2 hours...
Please do the 4 problems circled in blue, show work if possible
Answer:
12. 108 degrees
13. 150 degrees
15. 40 degrees
16. 30 degrees
Step-by-step explanation:
12. 540 is the total degrees inside a pentagon, and since it is regular (every side is equal) you divide 540/5 to get 108
13. 1800 is the total degrees inside a dodecagon, and since it is regular (every side is equal) you divide 1800/12 to get 150
15. 1260 is the total degrees inside a nonagon however since it is asking for the exterior angle you take 1260/9 to get 140 and since every straight line is 180 degrees you subtract 140 from 180 to get 40 degrees.
16. 1800 is the total degrees inside a 12-gon (dodecagon) however since it is asking for the exterior angle you divide 1800/12 to get 150 degrees which since every straight line is 180 you subtract 150 from 180 to get 30 degrees.
Please help this is my last points
Answer with explanation please
Please I need it now
Answer:
im going to guess cause i barely see 120
Step-by-step explanation:
Answer:
Three sets of supplementary angles
1 & 4 = 180º
2 & 5 = 180º
3 & 6 = 180º
Total = 540º
Sum of angles in triangle = 180º
Therefor sum of exteriort angles
540 - 180 = 360º
5p + 3 = 15 Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
Expressions can be represented as equations, and vice versa.
A possible situation is as follows:
John is 15 years old, and his age is 3 more than 5 times his brother's age
The equation is given as:
[tex]\mathbf{5p + 3 = 15}[/tex]
This means that:
15 represents John's ageP represents his brother's age5 and 3 are the constants that relate their agesRead more about word equations at:
https://brainly.com/question/20518082
The equation 5p + 3 = 15 can be used to find Mgbafor's age when Okeke's age is five times Mgbafor's age and in three years time, Okeke will be 15 years old.
The equation 5p + 3 = 15 is a linear equation. The equation must represent a variable which when multiplied by 5 and 3 is added yields 15.
Lets assume that Okeke's age is five times Mgbafor's age In three years time, Okeke will be 15 years old. If i am asked to find Mgbafor's age, the equation to use is 5p + 3 = 15, where p = Mgbafor's age.
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La respuesta a un problema de división se llama
Answer:
Cociente: Español
Step-by-step explanation:
Quotient: English
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
make y the subject of the formula
x=13(t-4y) over y
Answer:
make y the subject of the formula
x=13(t-4y)
Step-by-step explanation:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
The subject of the formula for y is y = 13t / x(1 + 52/x).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
We have been given the equation as:
x = 13(t - 4y) / y
We have to make y the subject of the formula
x = 13(t - 4y) / y
Cross multiplication to get,
y = 13(t - 4y) / x
y = (13t - 52y) / x
y = 13t / x - 52y / x
Now group the y terms together and we get
y + 52y / x = 13t / x
The factor out the y to get
y(1 + 52/x) = 13t / x
y = 13t / x(1 + 52/x)
Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).
Learn more about the equation here:
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Which of the following is incorrect?
I need help please! It’s due tonight.
Answer:
D
Step-by-step explanation:
Can i get brainiest Sorry if im wrong <3
For this exponential function, what is the output value (y), when the input value (x) is O? y = 5. 2x
Answer:
(0,. 5 )
Step-by-step explanation:
Substitute the input x = 0 into the function for output y
y = 5 × [tex]2^{0}[/tex] = 5 × 1 = 5 [ note [tex]a^{0}[/tex] = 1 ]
HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
6 is no, -8 is no, - 10 is no, 5 is no
Step-by-step explanation:
6 is no beacause 3 - 4(6) = 11
3 - 24 = 11
-21 = 11
-21 is not equal to 11 so that means that 6 is not a solution.
- 8 is no because 3 - 4(- 8) = 11
3 + 32 = 11
35 = 11
35 is not equal to 11 so that means that - 8 is no a solution
- 10 is no beacause 3 - 4(-10) = 11
3 + 40 = 11
43 = 11
43 is not equal to 11 so that means that - 10 is not a solution.
5 is no beacause 3 - 4(5) = 11
3 - 20 = 11
-17 = 11
-17 is not equal to 11 so that means that 5 is not a solution.
Hope that helps!
Answer:
If u=6,
3-4u=11
3-4(6)=11
3-24=11 (false; not a solution)
If u=-8,
3-4u=11
3-4(-8)=11
3+32=11 (false; not a solution)
If u=-10,
3-4u=11
3-4(-10)=11
3+40=11 (false; not a solution)
If u=5,
3-4u=11
3-4(5)=11
3-20=11 (false; not a solution)
I need help I don't understand
Answer:
2nd one
Step-by-step explanation:
I know this because I learned about this