Answer: sum: 51 + -31 = 20
Step-by-step explanation: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 20. In other words, x plus y equals 20 and can be written as equation A:
x + y = 20
The difference between x and y is 92. In other words, x minus y equals 92 and can be written as equation B:
x - y = 92
Now solve equation B for x to get the revised equation B:
x - y = 92
x = 92 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 20
92 + y + y = 20
92 + 2y = 20
2y = -72
y = -36
Now we know y is -36. Which means that we can substitute y for -36 in equation A and solve for x:
x + y = 20
x + -36 = 20
X = 56
Summary: The sum of two numbers is 20 and their difference is 92. What are the two numbers? Answer: 56 and -36 as proven here:
13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15
Answer:
Step-by-step explanation:
15x13=?
15+15+1=31
so the answer is 31
Simplify
b + 4 + 4 + b=
Answer:
2b+8 is the simplify expression
Answer:
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
__________________________
another way
b + 4 + 4 + b=
= +b +b +4 +4
= 2b + 8
= b = [tex]\frac{8}{2} \\\\[/tex]
= b= 4
Ans: b= 4
b. 13(y−10)=−4
1
3
(
y
-
10
)
=
-
4
y =
In Prof. Leahy's class, if a student does homework most days, the chance of passing the course is 90%. On the other hand, if a student does not do homework most days, the chance of passing the course is only 30%. Prof. Leahy claims that 70% of his students do homework on a regular basis. If a student is chosen at random from Prof. Leahy's class, find the following probabilities:
a. p(the student did not do homework and he/she passed the course)
b. p(the student did not do homework given that she/he passed the course)
Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that [tex]P(A \cap B) = 0.09[/tex]
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]
p(the student did not do homework given that she/he passed the course)
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
So
p(the student did not do homework given that she/he passed the course) = 0.125.
simplify the following indices :
6²×3²×3³×6⁴
Answer:
The answer is 11,337,408
Step-by-step explanation:
6^2 = 36, 3^2 = 9, 3^3 = 27, and 6^4 = 1296.
when you multiply them all together, you get 11,337,408.
Find the area of this triangle. Round to the nearest whole number.
Answer:
[tex]35 cm^{2}[/tex]
Step-by-step explanation:
5 x 14 divided by 2 = 35
A company that manufactuers small canoes has a fixed cost of $14,000. It cost $40 to produce each canoe. The selling price is $80 per canoe
Answer:
The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
Step-by-step explanation:
Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:
14/000 / 40 = X
350 = X
350 x 80 = 28,000
Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.
2. 19 x - x = + 1, what is the value of x?
Answer:
x=1/18
Step-by-step explanation:
19x-x=+1
18x=+1
x=1/18
a. 5
b. 7
c. 9
d. 11
PLEASE HELPPP I WILL GIVE BRILLIANT!!!
Answer:
B : 7
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP IM SO TIRED PLEASE JUST HELP ME ON THIS ONE QUESTION AND EXPLAIN YOUR ANSWER GOD
In 1985 an antique automobile club had 23,000 members. Since then its membership has grown at an average rate of 5% per year. Assuming this trend continues, how many members will there be in 2020? Round to the nearest thousand.
a) 112,000 members
b) 78,000 members
c) 151,000 members
d) 127,000 members
Which of the following is the least reduced equivalent of 243/729?
A.2/6
B.1/3
c.3/9
D. 1/2
Answer:
B.1/3
Step-by-step explanation:
Dividing by 3.
243/729
81/243
27/81
9/27
3/9
1/3
Which is not a true statement about the disadvantages of certain methods of payment?
Answer:
I dont know explaining more its not clear plz explaining ore
What is the quotient of 20 divided by one fourth?
Answer: 80 i think
Step-by-step explanation:
Please someone help me with this!!!
Find the indicated term of the given geometric sequence.
a1 = 11, r = 3.4, n = 7
Answer: a = 1, 1r = 3, 0.4n = 7
Step-by-step explanation:
r= 3, 0.4n = 7, a1 = 1 : a = 1, n = 35/2, r = 3
At a restaurant, the bill comes to $90. If you decide to leave a 17% tip, how much is the tip?
Answer:
$15.30
Step-by-step explanation:
To find 17% of 90 you would have to do;
0.17x90 = 15.3
Therefore, the tip would come out to be $15.30
Find the missing value that makes the equation true. 15 + 30 = (3 + 6)
pls help me under stand this
9514 1404 393
Answer:
5 ft
Step-by-step explanation:
You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.
A = (1/2)(b1 +b2)h
Filling in the given information, you have ...
30 ft² = (1/2)(4 ft +8 ft)h
30 ft² = (6 ft)h . . . . . . . . . . . simplify
h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h
The height of the trapezoid is 5 feet.
A rental car company charges $40.18 per day to rent a car and $0.05 for every mile driven. Jacob wants to rent a car, knowing that:
He plans to drive 75 miles.
He has at most $270 to spend.
Which inequality can be used to determine dd, the maximum number of days Jacob can afford to rent for while staying within his budget?
A. 270≥40.18(3.75+d)
b.270≥40.18d+3.75
c.270≤40.18d+3.75
d.270≤40.18(3.75+d)
Answer:
b) 270 ≥ 40.18d + 3.75
Step-by-step explanation:
Per day is a variable, so it's 40.18d
Per mile is also a variable so 0.05m
40.18d + 0.05m ≤ 270
40.18d + 0.05(75) ≤ 270
40.18d + 3.75 ≤ 270
Answer: 270 ≥ 40.18d + 3.75
The area of the figure is Square units.
Answer:
8
Step-by-step explanation:
Math
What is the value of x?
Answer:
30
Step-by-step explanation:
the 60 degrees can be transferred to the side right next to the 4x. that means 4x+60=180, 4x=120, x=30
Can someone pls help me
Answer:
x = 15.42
Step-by-step explanation:
cos 63° = 7/x
0.4540 x = 7
x = 15.42
pls pls pls help!!!!!!
9514 1404 393
Answer:
ornament area = 379.8 cm²paint needed: 114 bottlesStep-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
__
If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
Which equation represents a line which is parallel to the y-axis?
Submit Answer
O y = x + 2
O2 = -2y
O y = -1
O2 = -2
Answer:
the 2nd one
Step-by-step explanation:
Consider the equation below.
Determine which equation has the same solutions as the given equation.
Answer:
B, (x-5) square =21
Step-by-step explanation:
B, (x-5)square =21
2. A penguin is setting on an iceberg 157 feet above the water? If a walrus is in the water 312 feet from the base of the iceberg, what is the angle of depression from the penguin to the walrus?
Answer: 26.7
Step-by-step explanation:
Answer:
26.7
Step-by-step explanation:
which statement correctly compares the two functions given below? f(x) =-32x-17 g(x) =-8x+12 A. Function f(x) decreases at a rate 4 times faster than function g(x) B. Function g(x) decreases at a rate 24 times faster than function f(x) C. Function g(x) decreases at a rate 4 times faster than function f(x) D. Function f(x) decreases at a rate 24 times faster than function g(x)
Answer: A
Step-by-step explanation:
A 5-pound bag of sugar costs $3.90. What is the unit rate?
List all possible outcomes.
Does anyone know the answer?
Answer:
1 is the answer
Is this right?
Plz
rrrrrrrrrrrrrrrrrrr
Answer:
A=706.5 ft^2
Step-by-step explanation:
Area of circle: π r^2
r=radius
In this case, r=15
So,
A=3.14(15^2)
A=3.14*225
A=706.5 ft^2