Answer:
21 miles/gallon
Step-by-step explanation:
To find his mileage in miles/gallon, divide the number of miles by the number of gallons.
315/15
= 21
= 21 miles/gallon
Answer:
21 miles / gallon
Step-by-step explanation:
Take the miles and divide by the gallons
315 miles / 15 gallons
21 miles / gallon
Can someone help? This hard
Answer:
The expression = [tex] \frac{40}{y - 16} [/tex]
Value of the expression = 4 (when y is 20)
Step-by-step explanation:
Quotient simply means the result you get when you divide two numbers. Thus, dividend (the numerator) ÷ divisor (the denominator) = quotient.
From the information given to us here,
the dividend = 40
the divisor = y - 16
The quotient = [tex] \frac{40}{y - 16} [/tex]
There, the expression would be [tex] \frac{40}{y - 16} [/tex]
Find the value of the expression when y = 20.
Plug in 20 for y in the expression and evaluate.
[tex] \frac{40}{y - 16} [/tex]
[tex] = \frac{40}{20 - 16} [/tex]
[tex] = \frac{40}{4} = 10 [/tex]
The value of the expression, when y is 20, is 4.
A homeowner needs two loads of gravel for the driveway to their new house. One loads weighs 8 tons and the second load
weighs 1,200 pounds. What is the total weight of the gravel, in tons, used for the driveway?
Total weight of the gravel, in tons used for the driveway is 8.6 tons
Weight of first load = 8 tons
Weight of second load = 1200 pounds
Convert pounds to tons:
1 pound = 0.0005 ton
1200 pounds = 0.6 ton
Then,
Weight of second load = 0.6 ton
Total weight of the gravel, in tons = Weight of first load + Weight of second load
= 8 tons + 0.6 tons
= 8.6 tons
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Please answer this correctly without making mistakes
Answer:
355/12
Step-by-step explanation:
Answer:
355/12mi
Step-by-step explanation:
9 1/2 = 19/2
20 1/12 = 241/12
19/2 + 241/12 = 355/12mi
15 points PLEASE ANSWER
Answer:
D. (25π - 50) sq m
Step-by-step explanation:
Since ABCD is a square with the area of 100, we know that the dimensions are 10 by 10. With that, we can find that triangle ABC = 50 sq m because of (h*l)/2. Since A is the center of the circle that contains arc BD, we know that 10 is the radius of the quarter-circle ABC. Using (πr^2)/4 to get the area of the quarter-circle, we get that the quarter-circle ABC = 25π sq m. But the original triangle ABC in the quarter-circle is not shaded. Therefore, we subtract 50 from 25π, which leads to (25π - 50) sq m.
I hope this helped! :D
1 +32-10 divided by 2
Step-by-step explanation:
1+32-10 ÷21+32-533-528Hope it is helpful to youThe value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The numerical expression is given below.
⇒ 1 + 32 – 10 ÷ 2
According to the PEMDAS rule, the computation wrapped in quotes or the parenthesis comes first in the sequence of operation.
This rule is used to solve the equation in a proper and correct manner.
PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.
⇒ 1 + 32 – (10 ÷ 2)
Simplify the numerical expression, then the expression will be
⇒ 1 + 32 – 5
⇒ 33 – 5
⇒ 28
Then the value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.
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Which equation is equivalent to StartRoot x EndRoot + 11 = 15?
Answer:
D [tex]\sqrt{x} +11=15[/tex]
Step-by-step explanation:
Edge 2020
For the given expression √x + 11 = 15 the value of x will be equal to 16.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression √x + 11 =15. The expression will be solved as below,
√x + 11 =15
√x = 15 - 11
√x = 4
Squaring on both sides of the equation,
x = 4²
x = 16
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The perimeter of a rectangular garden is 43.8 feet. It's length is 12.4t . What is it's width ?
Answer:5
Step-by-step explanation:
which of the following equations has both 1 and -3 as a solution?
A). x^2-2x-3=0
B). x^2+2x-3=0
C). x^2-4x+3=0
D). x^2+4x+3=0
A phone company offers two monthly plans. Plan A costs $21 plus an additional $0.11 for each minute of calls. Plan B costs $29 plus an additional $0.09 for each minute of calls. A. For what amount of calling do the two plans cast the same? ____minutes B. What is the cost when the two plans cost the same? $____
$121 and $12 ok isn't available in your ma er bishal bishal bishal
Find the largest number apart from 840 that is a multiple of 24 and a factor of 840.
Answer:
168
Step-by-step explanation:
first, split both 840 and 24 into there primes.
840=2×2×2×3×5×7
24=2×2×2×3
therefore any multiples of 24 must have those factor.
so, factors of 840 that are multiples of 24 are
2×2×2×3=24
2×2×2×3×5=120
2×2×2×3×7=168
2×2×2×3×5×7=840
there the answer is 168
Is the quotient of two rational numbers always a rational number? Explain.
Answer:
Yes,
Step-by-step explananation
The quotient of two rational numbers is always rational, and the reason for this lies in the fact that the product of two integers is always an rational number.
The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.
From Algebra, we know that a Rational Number is a Real Number of the form:
[tex]x = \frac{a}{b}[/tex], [tex]a, b\in \mathbb{N}[/tex], [tex]x \in \mathbb{R}[/tex] (1)
Where:
[tex]a[/tex] - Numerator.[tex]b[/tex] - Denominator.[tex]x[/tex] - Quotient.The Quotient can be an Integer or not. In the first case, all Quotients have their equivalent Rational Numbers.
Now, if we divide a Rational Number by another Rational Number, then we have the following expression:
[tex]x' = \frac{x_{1}}{x_{2}}[/tex]
If [tex]x'[/tex] is a Rational Number, then it must also an Integer and if [tex]x'[/tex] is an Integer, then [tex]x_{1}[/tex] and [tex]x_{2}[/tex] must be Multiples of each other.
The Quotient of two Rational Numbers is a Rational Number if and only if Numerator and Denominator are Multiples.
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The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.
Answer:
If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.
Step-by-step explanation:
The area of the Rectangle is 50 sq.m
What is the formula of Area of Rectangle?The area of rectangle for a rectangle of length L and width W is given by
A = L* W
It is measured in square units.
Let the length of the rectangle be L
The width of the rectangle is W
The length of a rectangle is twice its width
L = 2W
Perimeter of the Rectangle is 2( Length + Width)
30 = 2 (L +W)
15 = L + W
15 = 2W +W
15 = 3W
W = 5m
L = 10m
The area of the rectangle is Length * Width
Area = 10 *5
Area = 50 sq.m
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You are a great student so you know that you answer probability questions correctly with probability 0.8. A friend told you that "NA" is a correct answer with probability 0.01 in general. Let XX be a random variable that takes on the value 1 if you answer a probability question correctly and 0 otherwise, and let YY be a random variable with takes on the value 1 if "NA" is the correct answer to the probability question and 0 otherwise.Required:a. P [X=0]=_______b. P[Y=1]=________
Answer:
sorry gave wrong answer
Step-by-step explanation:
find the surface area of the prism
Answer:
114 cm²
Step-by-step explanation:
Surface area of the rectangular prism,
2×(wl+hl+hw)
=2×(3×8+3×8+3×3)
= 2×(24+24+9)
= 2×(57)
=114 cm²
1. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The sum is 6, given that the green one is either 4 or 1.
2. Find the conditional probability of the indicated event when two fair dice (one red and one green) are rolled. The red one is 6, given that the sum is 11.
Answer:
1. 1/6
2. 1/6
Step-by-step explanation:
Let A be the event that the sum of the two die is 6 and B be an event that the green die is either 4 or 1.
The conditional probability will be given by P (A/B) = P (A∩B)/ P (B).
Now the total sample space consists of 36 outcomes .
And to find (A∩B) we need to find the outcomes in which green die is either 4 or 1 and the sum of the two die is 6.
So when green is 1 red must be 5
So when green is 4 red must be 2
So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
Therefore the probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
So when green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
The total number would be 12 .
So probability of green die having 1 or 4 is given by = P (B)= 12/36
Now the conditional probability = P (A/B) = P (A∩B)/ P (B)=1/18/ 1/3
= 3/18= 1/6
2. Similarly we find the conditional probability of the two die when the red one is 6, given that the sum is 11.
When red is 6 the green must be 5 to get 11. So the probability
=P (A∩B)= 1/36
Now we find the probability of red die having 6 =P(B)= 6/36
Now the conditional probability = P (A∩B)/P(B) = 1/36/ 6/36= 1/6
Answer 1:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1.
Conditional probability Formula :
P (A/B) = P (A∩B)/ P (B).
Total sample space=36 outcomes
Conditions are :
So when green is 1 red must be 5 So when green is 4 red must be 2 So there are two ways in which green die is either 4 or 1 and the sum of the two die is 6.
The probability of (A∩B)= P (A∩B)= 2/36= 1/18
Now we find the probability of green die having 4 or 1
When green is 4 red can have all the numbers from 1- 6
And when green is 1 red can have all the numbers from 1- 6
Total number = 12
P (B)= 12/36
Therefore, conditional probability = P (A/B)
P (A/B) = P (A∩B)/ P (B) P (A/B)=1/18/ 1/3 P (A/B)= 3/18 P (A/B)= 1/6
The conditional probability of the indicated event when two fair dice are rolled will be 1/6.
Answer 2:
Let A be the event that the sum of the two die is 6 Let B be an event that the green die is either 4 or 1. The sum is 11.
Condition :
When red is 6 the green must be 5 to get 11.
P (A∩B)= 1/36
The probability of red die having 6 =P(B)= 6/36
The conditional probability= P (A∩B)/P(B)
P (A∩B)/P(B) = 1/36/ 6/36P (A∩B)/P(B)= 1/6The conditional probability of the indicated event when two fair dice are 1/6.
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PLEASE HELP ASAP will give brainliest
Step-by-step explanation:
3n-5=(-8*6)+(-8*5n) distributive property
3n-5=-48-40n
3n+40n=-48+5 add property
43n=-43 add property
43n/43=-43/43 division property
n=-1
IF ANYONE IS READING THIS AND IS TIRED OF BOTS, MAY I PLEASE GET SOME HELP?
You deposit $400 in an account earning 5% interest compounded annually. How much will you have in the account in 15 years?
I'm a little bit stuck.
A(t)=P(1+r)t
A = accrued amount = what you are solving for
P = principle investment = $400
r = rate of growth = 5% = 0.05
t = time = 10 years
A(10) = 400(1.05)10 (use calculator to solve)
A(10) ≈ 4,200
You are playing a version of the roulette game, wherethe pockets arefrom 0 to 12 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 17 given on thefirst spin youspin a 2
Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
-------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.-------------------------------------
In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:
[tex]T = 13^2 = 169[/tex]
-------------------------------------
The desired outcomes are those who result in a sum of 15. Thus, they are:
(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].-------------------------------------
Thus, the probability is:
[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]
0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
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what is the domain of this
Answer:
[tex]\boxed{\sf B. \ All \ real \ numbers}[/tex]
Step-by-step explanation:
The domain is all possible values for x.
[tex]f(x)=(\frac{1}{4} )^x[/tex]
There are no restrictions on x.
The domain is all real numbers.
Answer:
B.All real number
hope you have unterstand
Find the lengths of AD, EF, and BC in the trapezoid below.
We know that,
[tex]EF=\dfrac{AD+BC}{2}[/tex]
which is
[tex]x=\dfrac{x-5+2x-4}{2}[/tex]
Now solve for x,
[tex]x=\dfrac{3x-9}{2}[/tex]
[tex]2x=3x-9[/tex]
[tex]x=9[/tex]
Since x is 9, the lengths are,
[tex]AD=x-5=9-5=\boxed{4}[/tex]
[tex]EF=x=\boxed{9}[/tex]
[tex]BC=2x-4=18-4=\boxed{14}[/tex]
Hope this helps :)
I require someone to answer this question for me ASAP please?
Answer:
x has to be less than 3
Step-by-step explanation:
Answer:
x < 3
I hope this helps!
what percent of sales were shoes or socks? A.9% B. 39% C.52% D. 61%
Answer:
it is 9%
Step-by-step explanation: the socks persent is the correct answer
Answer: D. 61%
Step-by-step explanation:
How can a company use a scatter plot to make a future sales decision?
Answer:
Hope this helps :)
Step-by-step explanation:
A scatter plot is a two-dimensional diagram that displays individual data points based on the intersection of two variables, shown as vertical and horizontal axes. Individual data points or values are plotted at particular coordinates of the two variables being studied. Patterns of data points provide a visual representation of relationship between the two variables. A wide range of jobs and careers use this valuable analytical tool for data analysis and decision making.
My conclusion,
They help organize important data for future occurences.
Ajar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. A marble is
drawn at random from the jar. Find the probability of the given event.
(a) The marble is red
Your answer is:
(b) The marble is odd-numbered
Your answer is:
(C) The marble is red or odd-numbered
Your answer is:
(d) The marble is blue or even-numbered
Your answer is:
Question Help M Message instructor
Answer:
a)2/7
b)1/2
c)9/14
d)6/7
Step-by-step explanation:
The jar contains 4 red marbles, numbered 1 to 4 which means
Red marbles = (R1) , (R2) , (R3) , (R4)
It also contains 10 blue marbles numbered 1 to 10 which means
Blue marbles = (B1) , (B2) , (B3) , (B4) , (B5) , (B6) , (B7) , (B8) , (B9) , (B10) .
We can calculate total marbles = 4red +10 blues
=14marbled
Therefore, total marbles= 14
The marbles that has even number = (R2) , (R4) ,(B2) , (B4) , (B6) , (B8) , (B10) =7
Total number of Blue marbles = 10
Blue and even marbles = 5
(a) The marble is red
P(The marble is red)=total number of red marbles/Total number of marbles
=4/14
=2/7
(b) The marble is odd-numbered
Blue marbles with odd number= (B1) , (B3) , (B5) , (B7) , (B9) ,
Red marbles with odd number = (R1) , (R3)
Number of odd numbered =(5+2)=7
P(marble is odd-numbered )= Number of odd numbered/ Total number of marbles
P(marble is odd-numbered )=7/14
=1/2
(C) The marble is red or odd-numbered?
Total number of red marbles = 14
Number of red and odd marbles = 2
The marbles that has odd number = (R1) , (R3) ,(B1) , (B3) , (B5) , (B7) , (B9) =7
n(red or even )= n(red) + n(odd)- n(red and odd)
=4+7-2
=9
P(red or odd numbered)= (number of red or odd)/(total number of the marble)
= 9/14
(d) The marble is blue or even-numbered?
Number of Blue and even marbles = 5
Total number of Blue marbles = 10
Number of blue that are even= 5
The marbles that has even number = (R2) , (R4) ,(B2) , (B4) , (B6) , (B8) , (B10)
=7
n(Blue or even )= n(Blue) + n(even)- n(Blue and even)
= 10+7-5 =12
Now , the probability the marble is blue or even numbered can be calculated as
P(blue or even numbered)= (number of Blue or even)/(total number of the marble)
= 12/14
= 6/7
Which is an example of a situation that is in equilibrium?
A. The amount of air in a room increases quickly when the door is
opened.
B. The amount of money in a bank account never changes
C. The amount of water in a cup decreases as it evaporates
D. A flower slowly grows taller
Answer:B the amount of money in a bank account never changes.
Step-by-step explanation:
Answer:
B. The amount of money in a bank account never changes.
Step-by-step explanation:
Equilibrium is achieved when the state of a reversible reaction of opposing forces cancel each other out. While in a state of equilibrium, the competing influences are balanced out. Imagine a cup with a hole in it being filled with water from a tap. The level of water in this cup would stay the same if the rate at which the water that flows inside is the same as the water that flows outside. Option B will be the correct answer because the amount of money going into the account is at the same rate of money coming out of the account.
Help asap please!!
Find the measure of y.
A. 43
B. 53
C. 90
D. 47
Answer:
[tex]y=43[/tex]
Step-by-step explanation:
[tex]y=2(90-46)/2[/tex]
[tex]y=43[/tex]
------------------------
OAmalOHopeO
-----------------------
if 25 liters of milk can make 8 tin of cheese how many liters of milk would b needed to make 11 tin of cheese?
Answer:
Step-by-step explanation:
34.375 Liters of milk make 11 tins of cheese. Assuming that milk is available in whole liters only, 35 Liters of milk are needed.
there are 5 discs, 6 jump ropes, 3 balls, and 12 pieces of sidewalk chalk in a bin. If two items are drawn at random without replacement, what is the probability that both items removed are not jump ropes?
Answer: 0.584
Step-by-step explanation:
We have:
5 discs
6 jump ropes
3 balls
12 pieces of sidewalk.
5 + 6 + 3 + 12 = 26
If all of them have exactly the same probability of being removed, then:
in the first selection, we do not want to remove a jump rope, so we can remove one disc, one ball or one piece of sidewalk.
The total number of those objects is:
5 + 3 + 12 = 20.
Then the probability of removing one of those objects is:
P1 = 20/26 = 0.769
Now in the second selection, we have the same situation, but now we have 25 objects in total, and because in the previous selection we removed one ball, or one disc, or one piece of sidewalk, the total number of these things now is 19.
So the probability of removing another object of that set is:
P2 = 19/25 = 0.76
The joint probability is equal to the product of the individual probabilities, so we have:
P = P1*P2 = 0.769*0.76 = 0.584
Which best describes the relationship between the line that passes through the points (-6,5) and (-
2,7) and the line that passes through the points (4, 2) and (6, 6)?
Answer:
Slope passes through (-6, 5) and (-2, 7)
[tex]m_1=\frac{y_2-y_1}{x_2-x_1} =m_1=\frac{7-5}{-2+6}[/tex]
[tex]m_1=\frac{2}{4} =\frac{1}{2}[/tex]
Slope passes through (4, 2) and (6, 6)
[tex]m_2=\frac{6-2}{6-4}[/tex]
[tex]\frac{4}{2} =2[/tex]
[tex]m_1\times m_2 \neq -1[/tex] [tex]m_1\neq m_2[/tex]
Answer:- A) neither perpendicular nor parallel.
OAmalOHopeO
Sierra used the following steps to copy angle ABC:
1. Draw a ray with the endpoint D.
2. Place the compass on point B. Swing an arc that intersects rays BA and BC that creates point E on BA and Fon BC.
3. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G on the ray.
4. Open the compass to the distance between points A and E.
5. Keeping the compass at the same width, place it on point G and swing an arc that intersects the arc created from point D.
6. Label the intersection of the arcs created from point D with point H, and draw a ray from point D through point H.
In which step did the error occur? Explain. (1 point)
Step 2. She did not set the proper compass length.
O Step 2. She drew an arc Instead of a circle.
Step 3. She placed the compass at an incorrect point.
Step 4. She measured the incorrect length.
The process of copying an angle through construction involve ensuring
that the distance between the two rays forming the angle is the same or
equal in the original and copy of the angle at a given equal distance from
the vertex of both angles
The step where the error occur is step 4. She measured the incorrect length
The reason for the above selection is as follows:
The steps to copy an angle are as follows;
Draw the initial line, l, (the working line) of the copy of the angle as a ray with an endpoint, DIn the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, rPlace the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point GPlace the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EFPlace the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the constructionA critical step in the copying process involves the finding the distance
between the initial line and the terminal line EF at a given distance DG =
AE from the angle vertex
The step where the error occur is in step 4. by opening the compass
between points A and E which are points on the same line and placing the
compass at point G on line l to draw an arc intersecting the arc created
from point D at H, thereby making the radial distance between the two lines
forming the angle, in the copied angle at a distance E from the vertex,
equal to AE rather than EF
Therefore, the error occurred in step 4. She measured the incorrect length
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