Answer:
b = 16
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + b^2 = 20^2
144+b^2 = 400
Subtract 144 from each side
b^2 = 400-144
b^2 = 256
Take the square root of each side
sqrt(b^2) = sqrt(256)
b = 16
Yesterday, the price of a gallon of gas at five gas stations was $3.72, $3.87, $3.78, $4.09, and $3.989, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. 3.97
B. 4.05
C. 3.89
D. 3.81
Answer:
Option (A) 3.97.
Step-by-step explanation:
Price for one gallon of gas in gas station 1 = $3.72 (Yesterday)
Price for one gallon of gas in gas station 2 = $3.87 (Yesterday)
Price for one gallon of gas in gas station 3 = $3.78 (Yesterday)
Price for one gallon of gas in gas station 4 = $4.09 (Yesterday)
Price for one gallon of gas in gas station 5 = $3.989 (Yesterday)
Prise raised by each gas station Today = $0.08
Price for one gallon of gas in gas station 1 = $3.72 + $0.08
= $3.80 (Today)
Price for one gallon of gas in gas station 2 = $3.87 + $0.08
= $3.95 (Today)
Price for one gallon of gas in gas station 3 = $3.78 + $0.08
= $3.86 (Today)
Price for one gallon of gas in gas station 4 = $4.09 + $0.08
= $4.17 (Today)
Price for one gallon of gas in gas station 5 = $3.989 + $0.08
= $4.069 (Today)
Mean = Sum of the Terms Number of Terms / Total Number of Terms
= $3.80 + $3.95 + $3.86 + $4.17 + $4.069 / 5
= 19.849 / 5
= 3.9694
= 3.97 (Approximately)
As we can see that the Option (A) 3.97 correctly matches the answer.
So the correct answer is Option (A) 3.97.
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Mark BRAINLIEST
The probability of a certain event A occurring is 3:5, the probability of event B occurring is 2:5, and the probability of them occurring together is 6:25. What is true about the two events?
A.Event A is dependent on event B.
B.Event B is dependent on event A.
C.Events A and B are independent events.
D.Events A and B are mutually exclusive.
Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
How many ways can you plant 15 flowers from a group of 36 flowers?
Answer:
30.
Step-by-step explanation:
You could do 15 times the amount by 2 then add 6.
Find the area of this triangle pls help
Answer:
the area would be 15 square units.
All you have to do is find the length and the height from the points given.
Step-by-step explanation:
the environment club is electing a president, vice president, and treasurer. how many different ways can the officers be chosen from the 6 members?
Answer:
2 ways.
Step-by-step explanation:
6/3=2
what are the pods against selecting a red marble?
SOMEONE HELP PLSSS
suppose your friends parents invest $10,000 in an account paying 5% compounded annually. what will the balance be after 5 years?
Answer:
12,762.82$
Step-by-step explanation:
10,000(1+0.05)^5
Is 4by + 2b - by a binomial or a trinomial
Answer:
binomial
Step-by-step explanation:
4by + 2b - by
Combine like terms
3by +2b
This is a binomial since it has 2 terms
To multiply two fractions, multiply the numerator by the numerator
and the denominator by the
RETRY
Answer:
multiply the numerator by the other numerator and denominator by the other denominator
1/2×2/4=2/8=1/4
HOPE YOU FOUND IT HELPFUL , PLEASE MARK AS BRAINLIEST
PLEASE HELP!!
The figure is made up of a rectangle and 2 right triangles.
What is the area of the figure?
O 1259 units2
O 1292 units2
O 1413 units2
O 1566 units2
The rectangle is 28×34 and the two triangles are (1/2) 11 (28) and (1/2) (9)(34)
A = 28(34) + (1/2) 11 (28) + (1/2) (9)(34)
A = 1259
Answer: 1259 sq units
does anyone know this ????
Answer:
What exactly is the question asking? Is that the full question? The answer is 20
Step-by-step explanation:
Answer:
20 sq units
Step-by-step explanation:
Find the volume of the rectangular prism.
Formula: V = lwh
A.
84 m cubed
C.
72 m cubed
B.
89 m cubed
D.
92 m cubed
Answer:
84m³ (A) should be correct
Answer:
A
Step-by-step explanation:
Volume = length × width × height
= 7 × 4 × 3
= 84 m²
I need to find x in the angle
Answer:
88
Step-by-step explanation:
you do 120-32
Answer:
x = 58 degrees
Step-by-step explanation:
angle x and the 32 degree angle add up to 90 degrees.
so 90 - 32 = 58 degrees
What is the perimeter of an optician
Answer:
Depends on their size, higher, and width.
Step-by-step explanation:
The sum of two rational numbers is 2. If one of them is -13/5, find the other
So the right answer is 23/5
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{23}{5} [/tex]
Step-by-step explanation:
[tex]x + ( - \frac{13}{5} ) = 2 \\ x - \frac{13}{5} = 2 \\ x = 2 + \frac{13}{5} \\ x = \frac{10 + 13}{5} \\ x = \frac{23}{5} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
are the selection independent or dependent?
Answer:
Independent
Step-by-step explanation:
Which expression is equivalent to ? Assume that the denominator does not equal zero.
Answer:
A) 4ab^2
Step-by-step explanation:
19*4 = 76
(a^2*b^3)/(a*b) = a*b^2
Implies, option A.
The number of oranges harvested from Jake's yard decreased by 5% from last year to this year. Jake used the following expression to find the number of oranges harvested this year, P, where C is the number oranges Jake harvested last year.
C - 0.05C = P
Select the correct interpretation for the given equation.
A. P is 95% of the amount harvested by Jake last year.
B. Is 5% of the amount harvested by Jake last year.
C. P is 5% of the amount harvested by Jake this year.
Answer:
Option A is correct.
Step-by-step explanation:
P = C - (5/100)C = (95/100)C = 95% of C
Hope this helps!
:)
Use the data in the table to complete the statements.
Let x be the number of years since 1990. The year
2005 corresponds to an x-value of
The function that best models the data, with numerical
values rounded to the nearest hundredth, is f(x) =
x + 22.08.
Models have their limitations. For which year would this
model not make sense to use?
Answer:
Answer 1: 15
Answer 2: 11.55
Answer 3: 1985
Step-by-step explanation:
its the answers on edge 2020
In 1925, the population of a city was 90,000. Its
population increases by 2.1% per year. What will the population be in 2020?
Answer:
17,955,000
Step-by-step explanation:
Answer:
闭嘴黑鬼
Step-by-step explanation:
Pls show me the work too
Answer:
1). Mean: 14.2
Median: 13.5
Step-by-step explanation:
To calculate the mean, sum all values and divide by the number of values:
(13+16+14+17+13+12) / 6 ≈ 14.2
To calculate the median, order the values from small to large and take the middle value. If there is no middle. average the two values in the middle:
12,13,13,14,16,17
The median is (13+14)/2 = 13.5.
Using this explanation you should be able to find the rest.
6 Trendy T-Shirts has decided to manufacture a new design. It will
cost $400 plus $3 per shirt to produce them, and Trendy plans to
spend $5000 on advertising. The shirts will sell for $12 each.
A. How many shirts must be sold to break even (total cost equals
income from sales)?
B. What is Trendy's income (or total cost) for that many shirts?
Answer:
A)
400+3x+5000=12x
5400 = 9x
x =600
B)
Profit: zero (break even)
Total cost or Income from 600 Sales: $7200
A bowling alley charges $3 per shoe rental and $4 per person per game. If you and a friend bowl 3 games and each rent a pair of shoes, how much will it cost in all?
Answer: $36
Step-by-step explanation:
3 times 2 times 2 = 12
4 times 2 times 3 = 24
add 12 and 24
answer = $36!
Joseph's company offers a reimbursement package of $0.45 per mile plus
$175 a year for maintenance. If x represents the number of miles, which
equation below models C the total amount of reimbursement the company
offers?
•A. C = 0.45 + 175x
•B. C = 0.45x + 175
•C. C = 45 + 175x
•D. C = 45x + 175
Answer:
B
Step-by-step explanation:
175 is the yearly cost which is the constant
The cost is related to the miles so that’s why they’re multiplied together
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Joseph's company offers a reimbursement package of $0.45 per mile plus $175 a year for maintenance.
Let 'x' be the number of miles and 'C' be the number total amount. Then the equation of the line is given as,
C = 0.45x + 175
The total amount of reimbursement the company offers will be C = 0.45x + 175. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?
Answer: 6
Step-by-step explanation:
16x + 4 = 15x + 10
X = 6
Which graph represents this system?
3x+2y=-6
y=-x+2
2
Answer:
Look at the attched image
Hope it helped, mark as brainliest please :)
(Please help!!!) An aquarium holds 33.75 gallons of water. It has a length of 2 feet and a height of 1.5 feet.
What is the width of the aquarium?
________________________________________ (PLease show work step by step so I can understand it)
Answer:
3.3837891
Step-by-step explanation:
1 gallon is 0.133681cubic feet
33.75 gallon =4.5117188 cubic feet
volume =l*b*h
4.5117188=2*1.5*b
b=4.5117188/2*1.5
b=3.3837891
hope this helps
plzz mark me brainliest
33.75 gallons is about 4.5 cubic feet
4.5/2=2.25
2.25/1.5=1.5
1.5 is the missing side
V62 is between what pair of consecutive integers?
10 and 11
8 and 9
7 and 8
6 and 7
Answer:
7 & 8.
Step-by-step explanation:
√62 = 7.87400787401.
choose all that apply 13^6+(13^8)(13^-4)/13^-2
Answer:
Step-by-step explanation:
answer:
step by step explanation:
What is the area of the kite?
Answer:168
Step-by-step explanation:
.5×16×21
8×21
Answer: 336in ^2
Step-by-step explanation:
multiply 16*21 =336in^2