Answer:
P(A∩B) = 0.12
Step-by-step explanation:
Given:
Students receive financial aid P(A) = 40% = 0.4
Students receive financial aid and first generation P(B/A) = 30% = 0.3
Find:
Probability [Selected student receives financial aid and is first generation college student] P(A∩B)
Computation:
P(A∩B) = P(A) x P(B/A)
P(A∩B) = 0.4 x 0.3
P(A∩B) = 0.12
1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Answer:
10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Steve's bedroom measures 12 feet by 13 feet. Ricardo's bedroom measures 8 feet by 14
feet. Assuming that both bedrooms are rectangular, whose room has the greater area?
Answer: Steve's bedroom has the greater area.
Step-by-step explanation: The formula for area is Area = Length x Width.
So all you have to do to figure this out is multiply the Width of the rooms by the length.
So Steve's room is 12ft X 13ft = 156ft
Ricardo's room is 8ft X 14ft = 112ft
156ft > 112ft
Steve's room has a greater area.
Henry is using a total of 16 ft. of lumber to make a bookcase. The left and right sides of the bookcase are each
4 ft. high. The top, bottom, and two shelves are all the same length, labeled S. How long is each shelf?
Answer: Each shelf is 2ft
Step-by-step explanation:
16 = (2 x 4) + 4s
16 = 8 + 4s
8 = 4s (subtract 8 from both sides)
8/4 = 4s/4 (divide both sides by 4)
2 = s
Can you help me with this question please
Answer:
34
Step-by-step explanation:
Answer:
34 just subtract
Step-by-step explanation:
HELP PLEASE I NEED HELP ASAP!!
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
You earn 90% on a quiz. If you earned 36 points, how many points was the quiz worth?
Answer:
36/90%=40
Step-by-step explanation:
40 points in total
Which of the following ratios is not equivalent to the rest: *
6 to 8
54 : 72
36 : 56
3 to 4
Answer:
36:56
Step-by-step explanation:
Answer: C 34:55
Step-by-step explanation:
start with 6:8 that’s the first one multiply by 9 on each side you get 54:72 so that’s the same and then 6:8 divide by 2 and you get 3:4 but for 36:56 you’d have to multiply by 6 and that would give you 36:48 not 36:56
Please help me in struggling!!!!!!!!!!!!!
Answer:
Here’s the answer
Step-by-step explanation:
d=1/2at^2+s, solve for a
Step-by-step explanation:
Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.
Point k lies at (-3,4). Point k is reflected over the y-axis and then translated 7
units down to produce K'. Which rule could have been used to produce K' from K?
K(x, y) +K'(x,y-7)
K(x,y) →K'(-x, y-7)
K(x,y) →K'(x, -y-7)
K(x,y) → K'(-x-7.-y-7)
Answer:
b
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
evaluate -5 - 15 + 4 + 15
Answer:
Step-by-step explanation:
-5+-15= -20
4+15= 19
-20+19
-1
Answer:
-1
Step-by-step explanation:
-5 - 15 + 4 + 15
-20 + 19
-1
plzzzzz mark me brainliest
The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$ is obtained by subtracting 9 from the largest number $y$. This number $n$ also results by adding 9 to the third number $z$. What is the product of the three numbers?
Just take the $ out
You're given
x + y + z = 165
7x = n
n = y - 9
n = 9 + z
and you want to find xyz.
Solve the last three equations for x, y, and z :
7x = n → x = n/7
n = y - 9 → y = n + 9
n = 9 + z → z = n - 9
Substitute x, y, and z into the first equation and solve for n :
n/7 + (n + 9) + (n - 9) = 165
n/7 + 2n = 165
n + 14n = 1155
15n = 1155
n = 77
Now solve for x, y, and z :
x = 77/7 = 11
y = 77 + 9 = 86
z = 77 - 9 = 68
Then the product is
xyz = 11 • 86 • 68 = 64,328
The product of the three numbers is 8,192,040. The sum of three numbers x, y, z is 165: x + y + z = 165
The problem states:
1. When the smallest number x is multiplied by 7, the result is n: 7x = n
2. The value n is obtained by subtracting 9 from the largest number y: n = y - 9
3. The value n is also obtained by adding 9 to the third number z: n = z + 9
Now, let's proceed to find the values of x, y, z, and n:
From equation (2), we can express x in terms of n:
x = n/7
Now, substitute the value of x in equation (1):
(n/7) + y + z = 165
From equation (3), we can express y in terms of n:
y = n + 9
Now, substitute the value of y in the equation above:
(n/7) + (n + 9) + z = 165
From equation (4), we can express z in terms of n:
z = n - 9
Now, substitute the value of z in the equation above:
(n/7) + (n + 9) + (n - 9) = 165
Combine the terms with n:
3n/7 = 165
To isolate n, multiply both sides by 7/3:
n = 165 * (7/3)
n = 385
Now, we have the value of n, which is 385. To find the values of x, y, and z, substitute n back into the respective equations:
x = n/7 = 385/7
≈ 55
y = n + 9 = 385 + 9
= 394
z = n - 9 = 385 - 9
= 376
Now, we have the values of x, y, z, and n:
x = 55,
y = 394,
z = 376,
n = 385
To find the product of the three numbers, simply multiply them:
Product = x * y * z
= 55 * 394 * 376
≈ 8,192,040
So, the product of the three numbers is 8,192,040.
To know more about three numbers:
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Bob wants to make a profit of $1.25 on each fish. How much should he sell each fish for to make this profit? Show your calculation.
note that each fish costs 2.14
Bob would have to sell each fish at $3.39 in order to make a profit of $1.25 on each fish sold
What is the selling price per fish?
The selling price per fish can be determined as the sum of the cost price of $2.14 and the profit per fish which is $1.25, in essence, the selling price in this case is the sum of the cost and profit or alternatively, we can model the profit as the selling price minus the cost price as shown below:
profit per fish=selling price-cost price
profit per fish=$1.25
selling price=unknown
cost price=$2.14
By making the selling price the subject of the formula, we can determine the selling price using the formula above
$1.25=selling price-$2.14
selling price=$2.14+$1.25
selling price=$3.39
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what is Evaluate 2. to the 2 power
Answer:
2^2 = 4
Step-by-step explanation:
2*2 = 4
PLEASEEEE HELPP !
A company sells bottles of vitamin capsules. The graph and table show the linear relationship between the cost per capsule in cents and the number of bottles ordered. What is the slope of the line that models this situation?
Answer:
[tex] slope (m) = -5 [/tex]
Step-by-step explanation:
The slope can be calculated using two points, (2, 60) and (4, 50) as shown below:
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex], where,
[tex] (2, 60) = (x_1, y_1) [/tex]
[tex] (4, 50) = (x_2, y_2) [/tex]
Plug in the values into the equation
[tex] slope (m) = \frac{50 - 60}{4 - 2} [/tex]
[tex] slope (m) = \frac{-10}{2} [/tex]
[tex] slope (m) = -5 [/tex]
Answer:
x=6
Step-by-step explanation:
Please help. I will brainliest!!
Answer:
12. 20 ft
13. 4.5
Step-by-step explanation:
12. (29x29)-(21x21)=400
sq root 400= 20
13. (2x2)+(4x4)= 20
sq root 20= 4.5
Please help i was crying :(
Also there is another one
“Subtract. Write Your answer in simplest form” which is: 6 3/4 - 2 3/20
Answer:
is it 4 3/5 it might be
Step-by-step explanation:
What is the value of x in the equation 3/4(1/4x+8) - (1/2x+2)=3/8(4-x)-1/4x
Answer:
value of x is 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Solve for x. (Simplify)
Answer:
x = 8.75
Step-by-step explanation:
the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]
x = 8.75
What is the first step to solving the division problem below?
Divide 15 into 82 to get 5.
Divide 15 into 82 to get 6.
Multiply 15 by 5 to get 75.
Multiply 15 by 6 to get 80.
Answer:
divide 15 into 82 to get 5 is the first step
Step-by-step explanation:
Answer:
The answer is A, ¨Divide 15 into 82 to get 5.¨
Step-by-step explanation:
Please make as brainliest! Thanks and i hope it is right!!! Pls say if wrong. Bye
Which solution would make this equation have infinitely many solutions?
A.-18
B.-9
C.9
D.18
Answer: -18
Step-by-step explanation:
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
solve x 3+3(x+2)=-24
Answer:
x=-11
Step-by-step explanation:
3+3x=6=-24
3x+9=-24
3x=-33
x=-11
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3 + 3(x + 2) = -24
Step 2: Solve for x
Distribute 3: 3 + 3x + 6 = -24Combine like terms: 3x + 9 = -24Isolate x term: 3x = -33Isolate x: x = -11Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3 + 3(-11 + 2) = -24Add: 3 + 3(-9) = -24Multiply: 3 - 27 = -24Subtract: -24 = -24Here we see that -24 does indeed equal -24.
∴ x = -11 is the solution to the equation.
how much change did she receive?
i need these answers!!! will give branliest
5/6 divided by 1/4
1/2 divided by 3/5
15 1/2 divided by 3/4
4 2/7 divided by 1 2/3
so the answer to
Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc
is 3?
Answer:
The answer is C=4. Hope it helps :)
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
Whoever answers gets brainlist!
Answer:
21 over 6 (21/6)
26 over 6 (26/6) =47 over 6 (47/6)
your final answer is 7 5/6
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \frac{3}{6} + 4 \frac{2}{6} [/tex]
Which simplifies to:
[tex] \frac{21}{6} + \frac{30}{6} [/tex]
When added is:
[tex] \frac{51}{6} [/tex]
When transformed back into a Mixed Fraction:
[tex]8 \frac{3}{6} [/tex]