The length of line segment CB is 5 units.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Given that, A=(8, 15), B = (12, 13) and C = (8, 10)
Here, substitute (x₁, y₁)= (8, 10) and (x₂, y₂)=(12, 13) in distance formula, we get
CB = √[(12-8)²+(13-10)²]
= √(4²+3²)
= √(16+9)
= √25
CB= 5 units
Therefore, the length of CB is 5 units.
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Emma can run 4.5 miles in 36 minutes. How many miles can she run in 2 hours if she keeps a constant pace?
Answer:
13.34
Step-by-step explanation:
Answer:
15 miles is the answer, I hope this helps
Step-by-step explanation:
1. Set up a proportion
2. Convert 2 hours to 120 minutes
3. Cross multiply then divide the remaining number in the proportion
Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?
A.$7.80
B.$23.40
C. $31.20
D. not enough information
Answer:
The answer is B
Step-by-step explanation:
BEcause I took the test
Answer:
B. $23.40
Step-by-step explanation:
1. You have to divided the cost by the number of gallons to get the the cost per gallon
2. multiply the number of gallons by the cost per gallon that you found
Then you have your answer!
Please help with this
Answer:D
Step-by-step explanation:
There is no way this graphs are going to intersect.
the straight line has the equation y=1/2x +1 and the u shape graph has the quation y=x^2
The is no way this lines are going to intersect.
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 35% salt and Solution B is 80%
salt. She wants to obtain 90 ounces of a mixture that is 40% salt. How many ounces of each solution should she use?
Solution A:
Solution B:
Answer:
80? bc yhu cant use solution a because it only has 35...i think
Step-by-step explanation:
if im wrong sorry
The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.
From the information given, we can set up the following equations:
Equation 1: The total amount of solution is 90 ounces, x + y = 90
Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90
Simplifying Equation 2:
0.35x + 0.80y = 36
To solve these equations, we can use substitution or elimination. Let's use the substitution method.
From Equation 1, we can express x = 90 - y and substitute it into Equation 2:
0.35(90 - y) + 0.80y = 36
31.5 - 0.35y + 0.80y = 360
45y = 4.5y = 10
Substituting y = 10 back into Equation 1:
x + 10 = 90
x = 80
Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.
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Kelly rolls two number cubes 50 times. After each roll, she records whether the number on
each cube is even (E) or odd (O). Her results are shown in the graph. Based on Kelly's results,
which is the most reasonable prediction for the number of times two odd numbers will occur
when two number cubes are rolled 2,000 times?
Answer:
480
Step-by-step explanation:
First add the numbers in the table together and put the total as a denominator in a fraction then the amount of times 2 odd numbers appeared as the numerator then put another fraction with 2,000 as the denominator and divide 2,000 by the total then multiply the numerator by that answer to get the correct answer.
Hope this helped!
Using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.
What is fraction?A fraction is " a number is expressed as a quotient in which numerator is divided by denominator".
According to the question,
Kelly rolls two number cubes 50 times, each cube is even (E) or odd (O).
The graph shows frequency of two numbered cube roll. The frequency of getting EO is 14, frequency of getting OE is 8, frequency of getting EE is 16 , frequency of getting OO is 12.
Total number of frequency = 14 + 8 + 16 + 12
= 50
The fraction of getting two odd numbers when cube is rolled 50 times
= [tex]\frac{12}{50}[/tex]. →(1)
In order to find, when two number cubes are rolled 2,000 times the number of times two odd numbers will occur.
= [tex]\frac{x}{2000}[/tex]. →(2)
Equating two fraction, to get value of 'x'.
[tex]\frac{12}{50} = \frac{x}{2000}[/tex]
[tex]\frac{12*2000}{50}[/tex] = x
x = 12 × 40
x = 480.
Hence, using fraction, When two number cubes are rolled 2,000 times , the number of times two odd numbers will occur is 480.
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The product of (x+p)(x+q) can be written as x^2+(p+q)x+pq.
An intermediate step in this multiplication is
x^2+px+qx+pq=x^2+(p+q)x+pq.
Explain why px+qx=(p+q)x.
I'm Really confused please help!
Answer:
[tex]px+qx=(p+q)x[/tex] by taking out the common factors.
Step-by-step explanation:
It is given that the product of [tex](x+p)(x+q)[/tex] is [tex]x^2+(p+q)x+pq[/tex].
Given expression is
[tex](x+p)(x+q)[/tex]
Using distributive property, we get
[tex]x(x+q)+p(x+q)[/tex]
[tex]x(x)+q(x)+p(x)+p(q)[/tex]
[tex]x^2+qx+px+pq[/tex]
In middle terms px and qx the highest common factor is x. So taking out common factor from middle terms we get
[tex]x^2+x(q+p)+pq[/tex]
It can be written as
[tex]x^2+x(p+q)+pq[/tex]
Therefore, [tex]px+qx=(p+q)x[/tex] by taking out the common factors.
What is the area of the rectangle?
4 cm
3 cm
4 square centimeters
7 square centimeters
12 square centimeters
24 square centimeters
Solve for x in the given triangle. A) -9 B) -7 C) 7 D) 6
Which ordered pair is a solution of the equation?
2x + 4y = 6x - y
a. only 4,5
b. only 5,4
c. both 4,5 and 5,4
d. neither
pls answer
ill mark brainliest
Answer:
b. only 5,4
Step-by-step explanation:
Fiona receives a base weekly salary of $400 plus a commission of $75 for each lawn service contract she gets signed. An 8.8% tax is taken out of each paycheck she receives. If Fiona had 12 new clients sign contracts during her last 2-week pay period, how much money in taxes should she expect to be taken out?
Answer:
$149.60
Step-by-step explanation:
A concert hall sells tickets in three different price ranges. For each price range, there are both adult and child
rates.
Concert Hall Prices
Adult Child
Rates.
Which statement describes the relationship between the adult ticket prices (a), in dollars, and the child ticket
prices (c), in dollars?
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
Answer:
D. $265
Step-by-step explanation:
A $325 suit is marked down to $286. Find the percent of change. Explain please
Which of the following is an equation?
x+y
2x – 7 = 13
3x + 5y > 9
3x + 5y - 9
Find the area. Will mark brainliest.
Answer:
21 sq ft :) 20 characters long
please help for 10 points.
Answer:
w/9 > 23
Step-by-step explanation:
Answer:
9 ÷ w > 23
Hopes this helps :)
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Exactly two balls are yellow
Answer:
1/6 is the probability. im pretty sure
Find the missing length.
Answer:
15
Step-by-step explanation:
10 divided by 2 is 5. 6 divided by 2 is 3. 5 times 5 is 25 and 3 times 5 is 15
Answer:
15
Step-by-step explanation:
.....................................................
alejandro rosario or mattia polibio?
Answer:
Alejandro Rosario
Step-by-step explanation:
he is just really cute, well both of them are, but his personality seems nice.
Answer:
ale
Step-by-step explanation:
There are 18 girls and 24 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy and girls has to be the same for each team. Everyone must participate in the game. If the girls and boys form the greatest number of teams possible, how many boys will be on each team? *
Answer:
3:4 Ratio of Girls to Boys
Step-by-step explanation:
What is the range of this function?
Answer:
2
Step-by-step explanation:
Cause
Katie has a cube with an edge length of
3 inches. Malea has a cube whose volume is 8
times greater than the volume of Katie's cube.
What is the length of Malea's cube?
Answer:
216 inches^3
Step-by-step explanation:
Volume= Length x Width x Height
Volume of Katie's cube is 3x3x3 (27 inches^3)
Malea's cube is 8x the volume of Katie's cube, so Malea's cube is 8 x 27, which is 216 inches^3
Help please
0.3 [. ] 0.4
What is the decimal
<,> or =
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Answer:
x + 6 minus one-half x minus 2. Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent.
Step-by-step explanation:
Answer:
Answer is a
Step-by-step explanation:
100% on my test
The table represents the temperature of a cup of coffee over time.Which model best represents the data set? exponential, because there is a relatively consistent multiplicative rate of change exponential, because there is a relatively consistent additive rate of change linear, because there is a relatively consistent multiplicative rate of change linear, because there is a relatively consistent additive rate of change
Answer:
A. exponential, because there is a relatively consistent multiplicative rate of change
step-by-step explanation:
edge
Answer:
This question is multiple choice and the answer would be A
Step-by-step explanation:
I just took it its correct
help so hard!!! i need help
Answer:
1. b
2. are like terms
Step-by-step explanation:
1. this is b because when you distribute, each of the terms in the parentheses will get multiplied by 3.
2. these are like terms because they have no variables. they are just numbers so they are like terms
PLEASE HELP ON THIS QUESTION! I WILL MARK YOU BRAINLIEST IF CORRECT :) TYY
Answer:
no it's not a reflection
Step-by-step explanation:
a reflection would not be upside down like that, it would be the same thing rotated
Pls someone help on this one
Answer:
a) Turned around and went back to their starting point
b) 8km/h
Step-by-step explanation:
a) the numbers on the left running vertically show the distance covered. When the line goes down again, it shows that Jo was taking away from the distance covered. After 10 minutes, Jo turned and went back to their starting point.
b) from 30 mins to 60 mins is half an hour. In that time, Jo covered 4km and therefore, if they continued at the same speed, in 1 hour (30 mins x 2), Jo would have covered 8km (4km x 2).
∴ Jo is travelling at 8km/h for the last half hour.
I hope this was helpful :-)
A dice has the numbers 1-6 on it. Which of the events below has a higher probability of occuring?
а
an odd number
b
an even number
C
a number less than 5
d
a number greater than 3
Answer:
a number less than five
Answer:
So the number that has the greatest probability is a
Number less than 5
Step-by-step explanation:
odd numbr is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
Even number is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
a number less than 5 is [tex]\frac{4}{6}[/tex] or [tex]\frac{2}{3}[/tex]
A number greater than 3 is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex]
WILL MARK THE BRAINLIEST!!!!!
[only answer the 2nd and the 3rd]
Answer:
2. 120 cm^2
3. 3,750 cm^2
Step-by-step explanation:
To find the surface area of a rectangular prism, find the surface area of each side, then add them together.
2. There are two different shapes of faces on this prism (as with all rectangular prisms). One face's surface area has a measure of 4 cm by 6m. To find the surface area of that face, multiply each side length. 4 * 6 = 24. Let's call this length A.
Then, find the surface area of the other face. The other face has a measurement of 4 cm by 3 cm. 4 * 3 = 12. Let's call this length B.
Now, find the amount of each face on the prism. Length A appears 4 times: the front, back, top, and bottom are all the same shape. Length B appears 2 times: the left and right sides. Therefore, multiply length A's surface area by 4 and length B's surface area by 2.
24 * 4 = 96
12 * 2 = 24
Lastly, add both numbers together.
96 + 24 = 120
Adding the label, we get the final answer: 120 cm^2.
3. Now, apply the same steps to problem #3.
One face has a measurement of 45 cm by 25 cm. This means that the surface area of that face is 1,125 cm. Let's call this length A.
The other face has a measurement of 15 by 25. This means that the surface are of that face is 375 cm. Let's call this length B.
Length B appears 4 times, and length A appears twice. Evaluating 375 * 4, we get 1,500. Evaluating 1,125 by 2, we get 2,250.
Lastly, adding 2,250 to 1,500 and adding the label, we get the final answer: 3,750 cm^2.
