Step-by-step explanation:
Given,
LP = 15, PR = 9
Point P lies on the line segment PR. It would mean that,
LP + PR = LR
⇒LR = 15 + 9
⇒ LR = 24
Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.
The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $77. The second van transported 2 adults and 7 students and cost $95. Find the cost for one student to enter the competition.
Answer: $9
Step-by-step explanation:
Let the cost for adults be a
Let the cost for students be b.
The first van transported 2 adults and 5 students and cost $77. This will be:
2a + 5b = $77
The second van transported 2 adults and 7 students and cost $95. This will be:
2a + 7b = $95
2a + 5b = 77 ...... equation i
2a + 7b = 95 ........ equation ii
Subtract equation ii from I
-2b = -18
b = 18/2
b = $9
An student cost $9
Put the value of b into equation i
2a + 5b = 77
2a + 5(9) = 77
2a + 45 = 77
2a = 77 - 45
2a = 32
a = 32/2
a = 16
An adult costs $16
(4.6), (8,-2)
What is the slope
Answer:
-2
Step-by-step explanation:
In a classroom there is 40 students, 8 of them failed. ¿What percentage failed?
Answer:
40-8=32
Step-by-step explanation:
there was 40 then 8 of them failed that is telling u to subtract
Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lie. Use Chebyshev's theorem. Hint: You should memorize that when k is 2, it is 75% and when k is 3 it is 88.89%. Also convert hours to minutes and state your answer in minutes.
Answer:
84 minutes to 276 minutes
Step-by-step explanation:
Chebyshev's theorem states that:
At least 3/4(75% ) of data falls within 2 standard deviation from the mean - that means between μ - 2σ and μ + 2σ
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Where k > 1 , 1 - 1/k²
k is 2, it is 75% and when k is 3 it is 88.89%
Americans spend an average of 3 hours per day online. If the standard deviation is 32 minutes, find the range in which at least 88.89% of the data will lies
Step 1
Convert 3 hours to minutes
1 hour = 60 minutes
3 hours = x
Cross Multiply
= 3hours × 60 minutes/1 hour
= 180 minutes
We know from Chebyshev's theorem that:
At least 8/9(88.89)% of data falls within 3 standard deviations from the mean - between μ – 3σ and μ + 3σ .
Hence
μ = 180 minutes, σ =32 minutes
μ – 3σ
= 180 - 3(32)
= 180 - 96
= 84 minutes
μ + 3σ
= 180 + 3(32)
= 180 + 96
= 276 minutes
Therefore the range in which at least 88.89% of the data will lie is 84 minutes to 276 minutes
tomika ran 84 miles in 4 weeks. She ran 7 days each week. If she ran the same number of miles each day, how many miles did she run each day?
2y = 1/4
find the value of y
Answer:
0.125
Step-by-step explanation:
2 * 0.125 = 0.25 (or 1/4)
Answer:
0.125
Step-by-step explanation:
I think not really good at it
If f(x)=3x-7, find f(5). *
Answer:
f(5) = 8
Step-by-step explanation:
3(5)-7
15-7
8
Answer:
f(5)= 3(5) -7
f(5)= 15-7
f(5)= 8
Step-by-step explanation:
just substitute x for 5 and you get the answer
Write the equation of the line through the points (-3, 9) and (4, 2) in POINT-SLOPE FORM
Answer:
y-9=-1(x+3)
Step-by-step explanation:
The formula for point slope is y2-y1=m(x2-x1). So, we can use the values of the given points to solve the equation for m, or, the slope. We get an equation with the result of 2-9=m(4+3), which gives us the slope as -1. Now, substitute your xy values back in, to get the equation
An angle measures 70.2° more than the measure of its complementary angle. What is the measure of each angle?
A complementary angle of another angle is the angle that when you add it to that angle, you get 90 degrees.
For example, we have angle A. When we add the complementary angle of angle A, you get 90 degrees. :)
So, what we can do for this problem is create an equation! :)
x + 70.2° = "an angle"
x = complementary angle
Notice: I put the 70.2° to show the difference between the complementary angle and the angle itself.
Now, we can make an equation!
(x + 70.2°) + x = 90
2x = 19.8
x = 19.8/2
x = 9.9 degrees
One angle is 9.9 degrees, and the other angle is x + 70.2 = 9.9 + 70.2 = 80.1 degrees. We can see that when we add 9.9 and 80.1 we get 90 degrees, and when you minus 9.9 from 80.1, you get 70.2. :)
Ask any questions if you need. :)
equal sides of an isosceles triangle are given as 30 cm each if the perimeter of the triangle is 67 cm,find the third sides please help me answer please please please
PICNIC TABLE How do you know that the top of the picnic table is parallel to the ground?
Answer:
because the lines are parallel meaning they will never cross
Step-by-step explanation:
f(n)=??? whats the answer mates?
Is this rational or irrational? If so why ?
Answer: 0.12 repeating is a Rational number
Step-by-step explanation:
Any number with a terminating or repeating decimal representation is a rational number <!>Brainiest Appreciated<!>
Answer please nowwwwwwwwwwwwwww
Answer:
25.25
Step-by-step explanation:
i think im not so sure :/
Answer:
25 [tex]\frac{5}{11}[/tex]
Step-by-step explanation:
This is the answer because:
1) You have to convert 3 [tex]\frac{7}{11}[/tex] to an improper fraction. You can do this by multiplying 11 and 3 (the denominator and the whole number) then add 7 (the numerator). This equals to [tex]\frac{40}{11}[/tex].
2) [tex]\frac{40}{11}[/tex] x [tex]\frac{7}{1}[/tex] = [tex]\frac{280}{11}[/tex]
3) Finally. convert [tex]\frac{280}{11}[/tex] to an mixed fraction which is 25 [tex]\frac{5}{11}[/tex]
Therefore, the answer is 25 [tex]\frac{5}{11}[/tex]
Hope this helps! :D
does 55,808 have 2 as a factor ?
does 55,812 have 2 as a factor ?
does 55,814 have 2 as a factor ?
does 55,816 have 2 as a factor ?
does 55,818 have 2 as a factor ?
answer yes or no
Answer:
Yes.
Yes.
Yes.
Yes.
Yes.
Step-by-step explanation:
Give the domain and range of the relation.
{(-6,5), (-6, -7), (5,-6), (6,-1), (-4,-5)}
A) domain= {5, 13,-4, 6, -6}; range = {-6, -5,-1, -7,5}
B) domain={-6, -5,-1, -7,5}; range = {5,5, -4,6,-6}
) domain= {5, -3, -4, 6, -6}; range = {-6, -5,-1,-7,5}
D) domain= {5,-4, 6, -6}; range = {-6, -5,-1,-7,5}
Answer:
D
Step-by-step explanation:
The domain is all the x values that are given with the points.
Domain(x)
Range(y)
Hope this helps! :)
What is the sum of all the whole numbers from 1 to 1000?
Answer:
So there are 500 pairs of numbers that have a sum of 1001. Thus, the sum of numbers from 1 to 1000 is 500*1001 = 500,500.
Step-by-step explanation:
‼️WILL LIST BRAINLIEST ‼️Explain the Error: Jayme tells her friend that ordered pairs that have an x-coordinate of O lie on the x-axis. She uses the origin as an example. Describe Jayme s error and why that statement is false,
The voltage V required for a circuit is given by [tex]v=\sqrt{PR}[/tex] , where P is the power in watts and R is the resistance in ohms.
How many more volts are needed to light a 100-watt light bulb than a 75-watt light bulb if the resistance of both is 110 ohms? Round answer to the nearest tenth.
Answer:
✓11000-✓8250=~ 14 volts
Step-by-step explanation:
the answer is the difference by 100-watt light bulb to a 75 light bulb.
so, all you have to do is this:
v1-v2--------> ✓PR-✓P2R2
so you'll have ✓100.110-✓75.110= ✓11000-✓8250= 14
I hope it helps
I need help! 30 points! Will mark brainliest! I'm giving up my rank for this answer! Please!
Solve for a. Show your work: -2(a - 3) = 12
Answer: a = -3
Step-by-step explanation: First we distribute the -2 to a and -3 to get -2a+6=12, then subtract 6 on both sides, -2a=6, finally divide by -2 on each side to get a = -3.
Hope this helps!
Please consider marking BRAINLIEST!
Faith is driving to a concert and needs to pay for
parking. There is an automatic fee of $7 just to enter
the parking lot, and when she leaves the lot, she will
have to pay an additional $2 for every hour she had her
car in the lot.
Answer: $7 + 2h = Will be the price she pays when she leaves.
Step-by-step explanation:
Line AB and line CD intersect at point E. If angle AEC= 5x and angle BED= x +28, font the value of x. (Number two)
Go to QuestionCove for better answers, it's too hard for me TwT
Answer:
2. x=7
3. x=11
Step-by-step explanation:
9 — 3x = у
3х – у = -2
Answer:
This could be wrong, but i still wanted to help you.
Step-by-step explanation:
9-3x=y
+9 +9
3x=y
÷3 ÷3
x=y/3
Im sorry if this is wrong
Need help asap! Tyy
. 。 • ﾟ 。 .
. . 。 。 .
. 。 ඞ 。 . • •
ﾟ Black was not An Impostor. 。 .
' 1 Impostor remains 。
ﾟ . . , . .
Answer:
27 feet squared
Step-by-step explanation:
the formula for the area of a triangle is b(h)/2 so u just plug in the numbers into the formula from the question. we know that the base is 6ft long and the height is 9ft long.
A = b(h)/2
A = 6(9)/2
A = 27
therefore the area of the sail is 27 feet squared.
You start reading a book for your literature class two day before your friend. You both read 10 pages per night. A system of linear equations that represents this situation is y=10x20 and y=10x. Will your friend finish the book before you?
Answer:
No
Step-by-step explanation:
You started two days before your friend and you both read the same numbers of pages every night. Therefore, you will finish two days before your friend.
work out the value of 2 ^ 0
Answer:
Anything to the 0 power is 1
Step-by-step explanation:
Answer:
2^0=1
Step-by-step explanation:
I WILL MARK YOU THE BRAINLYEST IF YOU HELP ME PLEASE!!!!!
The expression -50X+ 100 represents the balance in dollars of a bank account after X months.
What is the rate of change in dollars per month of the bank account balance?
A.) $100 per month
B.) $50 per month
C.) $-50 per month
D.) $-100 per month
Answer:
it's B
50(-x+2)
Answer:
hoesty ill pick c or a ut you risk it for the biscuit
Step-by-step explanation:
Hope this helps leave a heart pls ad if you have questios im here c:
Sue used to have a square garage with 286 ft squared of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
Answer:
New Length = 20.71 feet
Original Length = 16.91 feet
22.47%
Step-by-step explanation:
Original area of the square garage = 286 ft squared
Addition of 50% more space
New area of the garage = 286 + .50(286)
= 286 + 143
= 429 square feet
What was the length of one side of the garage originally?
Original area of the square garage = 286 ft squared
Area of a square = length^2
286 = length^2
Find the square root of both sides
√286 = √length^2
Original Length = 16.91 feet
What is the length of one side of the garage now?
New area of the garage = 429 square feet
Area of a square = length^2
429 = length^2
Find the square root of both sides
√429 = √length^2
New Length = 20.71 feet
What was the percent increase in the length of one side?
(New length - old length) / old length × 100
= (20.71 feet - 16.91 feet) / 16.91 feet × 100
= 3.8 feet / 16.91 feet × 100
= 0.2247 × 100
= 22.47%
What is 15.5% as a fraction in simplest form
Answer:
Hope this helps
Step-by-step explanation:
15.5
10
(Computer won't do fractions so 15.5 out of 10 or 15.5 in decimal form)
How to find rational numbers between any two numbers for example like finding six rational numbers between three and four please elaborate
Answer:
The whole series is:
3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4
Step-by-step explanation:
Inserting Numbers Between Two Given Endpoints
Suppose we want to insert n equally-spaced numbers inside a given interval with endpoints [x,y].
To place n numbers, we need to open n+1 slots, at the end of which, a new number will be placed. The given interval is then divided into n+1 rational numbers of a value (y-x)/(n+1) each.
For example, let's add 6 rational numbers between 3 and 4. The width of the given interval is 4-3=1, and we need to place 6 numbers separated by 1/(6+1) = 1/7.
Start by the left endpoint:
3
The first number to add is 3+1/7=22/7
22/7
The second number to add is 22/7+1/7=23/7
23/7
The third number is 23/7+1/7=24/7
24/7
The next numbers follow the same pattern:
25/7
26/7
27/7
The last number is 28/7=4
4
The whole series is:
3, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7, 4
We have inserted 6 rational numbers between 3 and 4.
Find the measures of the labeled angles
Answer:
135 degrees \
Step-by-step explanation:
5x= x+108
Subtract x from the right
4x= 108
divide by 4
x= 27
Substitute for x in the original equation
(x+108)
(27)+(108)
= 135 degrees