Answer:
the answer is 122cm
Step-by-step explanation:
105cm+15cm+2cm=122cm
Two gasoline stations along an expressway have six gas pumps each. An experiment involves determining how many pumps are in use at a particular time for each station. Describe S by listing the elements.
The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :
Number of stations = 2 Number of pumps per station = 6Let the number of pumps in use at each station be listed on the row and column respectively :
P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6
0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6
1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6
2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6
3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6
4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6
5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6
6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6
Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.
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Suzy can type 85 words in 2 minutes. How many minutes will it take her to type her to type 500 word paper?
Answer:
11,765
Step-by-step explanation: 1 word make up 0,024 minute so 500 words 500.0,024 = 11,765 minutes
Write the equation of the line parallel to y=6 that passes through the point (2, -3). Write your answer in slope-intercept form.
Answer:
Y=-3
You see y=-3 does pass through 2,3 and is also parallel to y=6
solve for x and y in the following equation.
2x - 3y = 9.......(I)
2x + y = 13.......(ii)
x + 7y = 10.......(I)
3x - 2y = 7.......(ii)
5x + y = 10.......(I)
7x - 3y = 14......(ii)
Answer:
just rearrange the equation. I did the first one. Do the same for the rest.
2x - 3y = 9
-3y = -2x + 9
y = -2/-3x + 9/-3
y = 2/3x - 3
Step-by-step explanation:
PLEASE HELP! I Would appreciate it
Please help! Will give brainliest if the answer is correct!
Answer:
74 + 43[tex]\sqrt{3}[/tex]
Step-by-step explanation:
For this problem, let's say side x is 2 + [tex]5\sqrt{3}[/tex] and side y is 7 + [tex]4\sqrt{3}[/tex].
To find the area of a rectangle, you need to multiply both height and width, and in this case, x and y.
(x)(y) = 14 + 8[tex]\sqrt{3}[/tex] + 35[tex]\sqrt{3}[/tex] + 60
= 74 + 43[tex]\sqrt{3}[/tex]
P(x) = 4x3 + 5x + 9, D(x) = 2x + 1
Two polynomials P and D are given. Use either synthetic or long division to divide
P(x)
by
D(x),
and express P in the form
P(x) = D(x) · Q(x) + R(x)
Factor the following polynomial x^2-9
Answer:
(x+3)(x-3)
Step-by-step explanation:
We know that [tex](a+b)(a-b)=a^2+b^2\\[/tex]
So, here we have x² and 9, which can be written as 3².
Therefore, we can have x=a and 3=b
So we get
(x+3)(x-3)
To check that we are correct, we can expand the brackets:
x²-3x+3x-9
=x²-9
The two lines below are parallel. If the slope of the red line is 1, what is the
slope of the green line?
Hey can you please help me
Answer:
dont understand
Step-by-step explanation:
Solve.
34.2 = 13.4 + 9.6x
Enter your answer as a mixed number in simplest form in the box.
x =
solve for w
6w+2=9w+14
Answer:
w = 4
Step-by-step explanation:
6w+2=9w+14
9w-6w=14-2
3w=12
w=12/3
w=4
Which of the following is true when constructing a line graph?
Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!
Answer:
B
Step-by-step explanation:
Answer:
Each axis has even spacing.
Each point represents a data pair.
I took the test
Subtract.
3−(−5)−(−2)
Plot the solution on the number line.
Answer:
10
Step-by-step explanation:
Answer: Its 10, so plot it on 10 in the number line
Step-by-step explanation: Since the subtraction signs cancel out, they make a addition sign. Henceforth its " 3+5+2" which would mean the sum is 10.
La puntuación media de un examen final fue de 72 y la desviación típica de 9. El 10%
de los mejores alumnos recibió la calificación A. ¿Cuál es la puntuación mínima que
un estudiante debió tener para recibir un A?
Answer:
I don't know what to do sorry
Let
A
=
{
1
,
2
,
6
}
and B={x
|
x is an odd whole number less than 8},
Answer:
I think the answer is 1. The problem is unclear though
Refer to the rectangular prism
Answer:
Properties of a Rectangular Prism : A rectangular prism has 8 vertices, 12 sides and 6 rectangular faces. All the opposite faces of a rectangular prism are equal.
Step-by-step explanation:
which is equivalent to 2 5/6?
A. 5/3
B. 12/5
C. 7/6
D. 17/6
(IF YOU ARE ABLE TO, PLEASE PROVIDE AN EXPLANATION FOR THE ANSWER)
PLEASE NO ONE WILL HELP ME WITH THIS
Find a sequence of rotations, reflections, translations, and dilations showing that one figure is similar to the other.
BE SPECIFIC: give the amount and direction of a translation, a line of reflection, the center and angle of a rotation, and the cent and scale factor of a dilation.
Answer:
ABCD dilates in a scale of 1/3 by the center of A followed by a reflection of C.
AD/AD = 1/3
Step-by-step explanation:
each big square below represents one whole. what percent is represented by the shaded area?
Answer:
43%
Step-by-step explanation:
mark me as brainliest please
Circle each input value. Underline each output value. 1. {(1, 1), (2, 3), (3,5)} 2. {(6,2), (5, 3), (4,8)}
Answer:
The first numbers in the sets are input and the second numbers are outputs.
1. {(1, 1), (2, 3), (3,5)}
Input = 1, 2, 3Output = 1, 3, 52. {(6,2), (5, 3), (4,8)}
Input = 6, 5, 4Output = 2, 3, 8Write the equation in the standard linear equation form (Ax+By=C) if possible. Is the equation linear? y/3+x=5
Answer:
3x + y = 15
Step-by-step explanation:
y/3 + x = 5
You can first move the x and y variable around so it fits the standard linear equation format.
x + y/3 = 5
In order to make it look more like the standard format, you can multiply both sides of the equation by 3 to get rid of the 3 in the denominator of the y variable. It would look like this:
3 ( x +y/3) = 3 ( 5 )
When you multiply this out, you get this:
3x + y = 15
100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!
Answer:
divide 8/3
8/3 = 2
and for -11/3 it = -4 because it would originally = to -3.66666666667 and u have to round it.
----------------------------------
for the second picture
make it into an improper fraction
-2 1/2 = -5/2
and for 6 1/2 it = to 13/2
now, to plot it on the line you have to divide
divide -5/2 = -2.5
and divide 13/2 = 6.5
------------------------------------
Hope this helps!
La suma de cuatro números consecutivos es 938 cuál es el valor del número menor
De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.
Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:
X + X + 1 + X + 2 + X + 3 = 9384X + 6 = 9384X = 938 - 6X = 932 / 4X = 233233 + 234 + 235 + 236 = 938Por lo tanto, el valor del número menor es 233.
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HELP WILL GIVE BRANLIEST
State if the triangle are congruent by sss sas asa aas or not congruent
Answer:
(a) SSS
................................
the population in a town is 10,000. The population is growing at a rate of 0.08. what will the population be in 10 years
Hope this helps have a nice day!!!!
(5x+4)-3x
Solve it.
No scam
Answer:
=2x+4
Step-by-step explanation:
Let's simplify step-by-step.
5x+4−3x
=5x+4+−3x
Combine Like Terms:
=5x+4+−3x
=(5x+−3x)+(4)
=2x+4
Answer:
2x+4...
Step-by-step explanation:
Hopefully it helps
Can someone please show me their working on these on how to work out?
To rationalize essentially means to get rid of the radical.
The trick to all of these it to multiply the top and bottom by a radical that will turn the radical you have into the square root of a perfect square.
Part a: [tex]\dfrac{1}{2\sqrt{5}}[/tex]
One approach that will always work, but not be the smallest radical, is to just multiply by the radical that is already there.
In the case of [tex]\dfrac{1}{2\sqrt{5}}[/tex], you can multiply the top and bottom by [tex]\sqrt{5}[/tex], so you'll really do this:
[tex]\dfrac{1}{2\sqrt{5}}\cdot\dfrac{\sqrt{5}}{\sqrt{5}} = \dfrac{1\cdot\sqrt{5}}{2\sqrt{5}\sqrt{5}}[/tex]
But in the bottom, [tex]\sqrt{5}\cdot\sqrt{5} = \sqrt{25}=5[/tex], so your work finishes out like this:
[tex]\dfrac{1\cdot\sqrt{5}}{2\sqrt{5}\sqrt{5}} = \dfrac{\sqrt{5}}{2\sqrt{25}} = \dfrac{\sqrt{5}}{2\cdot5} = \dfrac{\sqrt{5}}{10}[/tex]
Part b: [tex]\dfrac{4}{5\sqrt{2}}[/tex]
In the case of [tex]\dfrac{4}{5\sqrt{2}}[/tex], you can multiply the top and bottom by [tex]\sqrt{2}[/tex], so you'll really do this:
[tex]\dfrac{4}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}}[/tex]
But in the bottom, [tex]\sqrt{2}\cdot\sqrt{2} = \sqrt{4}=2[/tex], so your work finishes out like this:
[tex]\dfrac{4}{5\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{4\sqrt{2}}{5\sqrt{4}}=\dfrac{4\sqrt{2}}{5\cdot{2}}=\dfrac{4\sqrt{2}}{10}[/tex]
Sometimes the fraction can be reduced, so this should be reduced to [tex]\dfrac{2\sqrt{2}}{5}[/tex].
Looking at all the others, they'll follow this same approach and they will all reduce at the end.
Here's part c, for one more example.
Part c: [tex]\dfrac{3}{3\sqrt{2}}[/tex]
In the case of [tex]\dfrac{3}{3\sqrt{2}}[/tex], you can multiply the top and bottom by [tex]\sqrt{2}[/tex], but you should also reduce the initial fraction first.
[tex]\dfrac{3}{3\sqrt{2}} = \dfrac{1}{1\cdot\sqrt{2}} = \dfrac{1}{\sqrt{2}}[/tex]
And now proceed with rationalizing:
[tex]\dfrac{1}{\sqrt{2}} \cdot\dfrac{\sqrt{2}}{\sqrt{2}}[/tex]
But in the bottom, [tex]\sqrt{2}\cdot\sqrt{2} = \sqrt{4}=2[/tex], so your work finishes out like this:
[tex]\dfrac{1}{\sqrt{2}}\cdot\dfrac{\sqrt{2}}{\sqrt{2}} = \dfrac{1\cdot\sqrt{2}}{\sqrt{4}}=\dfrac{\sqrt{2}}{{2}}[/tex]
And you're done.
Hopefully that helps you finish the rest of those.
To check your answers, here is the answer key for the rest:
part d:[tex]\dfrac{2\sqrt{6}}{5}[/tex]
part e:[tex]\dfrac{4\sqrt{2}}{3}[/tex]
part f:[tex]\dfrac{4\sqrt{5}}{7}[/tex]
part g:[tex]\dfrac{5\sqrt{10}}{3}[/tex]
part d:[tex]\dfrac{5\sqrt{2}}{3}[/tex]
Answer:
Step-by-step explanation:
(a) 1/(2 sqrt5) x (sqrt 5)/(sqrt5) = (sqrt 5)/10
(b) 4/(5bsqrt2) x (sqrt2)/(sqrt2) = (4sqrt2)/10 = (2sqrt2)/5
(c) 3/(3 sqrt2) x (sqrt2)/(sqrt2) =(sqrt2)/2
(d) 12 /(5 sqrt6) x (sqrt6)/(sqrt6) = (12sqrt6)/30 = (2sqrt6)5
(e) 8/(3 sqrt2) x (sqrt2)/(sqrt2) = (8 sqrt2)/6 = (4 sqrt2)/3
(f) 20/(7 sqrt5) x (sqrt5)/(sqrt5) = (20 sqrt5)/35 = (4 sqrt5)/7
(g) 50/(3 sqrt10) x (sqrt10)(sqrt10) = (50 sqrt10)/30 = (5sqrt10)/3
(h) 10/(3 sqrt2) x (sqrt2)/(sqrt2) = (10 sqrt2)6 = (5 sqrt2)/3
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
9514 1404 393
Answer:
3.5 hours
Step-by-step explanation:
The separation distance is increasing at the rate of 20 mph + 60 mph = 80 mph. It will be 280 miles after ...
time = distance/rate
time = (280 mi)/(80 mi/h) = 3.5 h
The two cars will be 280 miles apart after 3 1/2 hours.