Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
The data set below represents
the high temperature of 10
cities on a certain day:
{68, 73, 95, 81, 85,
90, 77, 84, 75, 92}
What is the mean?
Ms. Guel
Mr. Le
A) 85
B) 86
C) 83
D) 80
E) 82
Mr. Stauffer
Mrs. Emrey
Ms. Fiala
Gina Wilson Athias Abrol. 2014
Hurry I need this answer
Answer: I am here to help and save the day....
Step-by-step explanation:
I hope I helped have a great day bye.
Jim is saving nickels, dimes and quarters to buy a baseball mitt. He has 12 more
dimes than quarters, and 8 fewer nickels than twice the number of quarters. The total
amount he has saved is $17.00. What number of each kind of coin he has
Answer:
36 quarters 48 dimes 64 nickels
Step-by-step explanation:
quarter = q
dime = q+12
nickel = 2q-8
$17 = 1,700 cents
(q)25 + (q+12)10 + (2q-8)5 = 1,700
25q +10q+120 +10q-40 =1,700
45q+80 = 1,700
45q = 1620
q= 36
36 QUARTERS x25 = 900cents
48 DIMES x10 = 480 cents
64 NICKELS x 5 = 320 cents
TOTAL 1,700 cents ($17)
A salesperson sells $2,500 in merchandise and earns a commission of $300. What is the commission rate as a percentage?
Factorise the following.
Answer:
x⁴ - y⁴= (x²)²- (y²)² = (x² + y²)(x²- y²) = (x²+y²)(x)²-(y)²=(x²+y²)(x+y)(x-y)
49x²-16/25= (7x)²- (4/5)²=(7x+4/5)(7x-4/5)
Answer:
(7x + 4/5)(7x - 4/5)
Step-by-step explanation:
iv. 49x² - 16/25
= (7x)² - (4/5)²
= (7x + 4/5)(7x - 4/5)
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
Answer:
A. 0.2734 = 27.34% probability that there are an equal number of boys and girls
B. 0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
Step-by-step explanation:
In each of these questions, the binomial probability distribution is used.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A.The Murray family has produced 8 children.
What is the probability that there are an equal number of boys and girls?
8 children means that [tex]n = 8[/tex]
Each children is equally as likely to be a boy or a girl, which means that [tex]p = 0.5[/tex]
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734[/tex]
0.2734 = 27.34% probability that there are an equal number of boys and girls
B.Margie has the uncanny ability of being able to guess the correct answer to TRUE/FALSE questions with an 80% accuracy rate. Tomorrow’s test has 7 questions on it and she needs to answer 5 questions correctly in order to make the Honor Roll. If she guesses on every question, what is the probability that she’ll answer exactly 5 questions correctly?
80% accurracy rate means that [tex]p = 0.8[/tex]
7 questions means that [tex]n = 7[/tex]
The probability is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.8)^{5}.(0.2)^{2} = 0.2753[/tex]
0.2753 = 27.53% probability that she’ll answer exactly 5 questions correctly
What is the result of adding these two equations?
5x - y = 6
- 2x + y = 8
Answer:
x=14/3
Step-by-step explanation:
5x-y=6
+ -2x+y=8
----------------
5x+(-2x)-y+y=6+8
5x-2x-y+y=6+8
3x=14
x=14/3
I apologize if something is incorrect, please me know how to fix it. Thank you!
Answer:
3x=14
Step-by-step explanation:
i did it on khan lol
Fatima opened a savings account with $7,500. She decided to deposit that same amount semiannually. This account earns 3.975% interest compounded semiannually. Exercises 5-7 are about Fatima's account. 5. What is the future value of the account after 10 years?
Answer:
A = $11117.25
Step-by-step explanation:
Given the following data;
Principal = $7,500
Interest rate = 3.975% = 3.975/100 = 0.03975
Number of times, n = 2
Time, t = 10 years
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 7500(1 + \frac{0.03975}{2})^{2*10}[/tex]
[tex] A = 7500(1 + 0.019875)^{20}[/tex]
[tex] A = 7500(1.019875)^{20}[/tex]
[tex] A = 7500(1.4823)[/tex]
A = $11117.25
I NEED THE ANSWER FAST PLEASE! The measures of the angles of a triangle are shown in thr figure below. Solve for x.
Answer:
4x + (5x+18) = 180-81=99
9x+18=99
9x=99-18=81
x=9
Step-by-step explanation:
Please help me I don’t get it
Answer:
The number is 4
Step-by-step explanation:
We set up the equation given the conditions listed. Since it says 5 times the difference between a number and 7, we can use x as a placeholder for the number.
(x-7) is the difference between the number and 7. The question asks for 5 times that difference thus we multiply the entire thing by 5 giving us 5(x-7. The question says that it all equals -15 so we set that expression equal to -15.
Thus we get the equation and solve:
5(x-7)= -15 (distributive property)
5x-35= -15 (add 35 to both sides)
5x=20 (divide by 5)
x=4; so the number is 4
Please look at the picture and explain how you got your answer thank you
Answer:
4 pounds of candy
Step-by-step explanation:
2/3 pounds of candy each
6 bags
2/3 or 0.6 × 6 bags = 4 pounds
A solution of a battery is 14% sulfuric acid. If we have 9 gallons of the
solution, how much of it is acid?
Answer:
14% od 2 gallons
Step-by-step explanation:
hope this helped also is this blue sign showing up saying something out exam mode?
Please help asap easy question just very stuck and due
Answer: z=115 x=6
Explanation: 14x-19 + 115 = 180
115 = z
Bananas are priced at 5 for $1.00 as shown in the table. Which option describes the dependent quantities given in this table?
options:
a. there is no dependent quantity
b. the number of bananas
c. the cost of the bananas
d. the numbers 5, 10, 15, 20
Answer: It's the cost of the bananas
SOMEONE PLEASE HELP EVEN IF ITS JUST WHAT YOU THINK PLEAE
A rectangular garden plot has an area of 36 ft. 2. If the width of the plot is 4ft, what is the length?
9ft
12ft
18ft
4ft
Answer:
I think it should be 9 because 9x4 is 36
If x = 13, how could the angles be classified? Are the angles complementary or supplementary?
Answer:
To be complement sum of angle must be 90°
But to be supplement sum of angle must be 180°
Step-by-step explanation:
please help i will give you extra points
look at picture for answer will mark BRAINILEST
solve 2x = 1/32
1/5
5
-5
Required informationSkip to questionNOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Find the sum and product of each of these pairs of numbers. Express your answers as base 3 expansions.The sum of the numbers (20001)3 and (1112)3 is ( )3 and their product is ( )3.
Answer:
The answer is " [tex](21120)_3[/tex] and [tex](100011112)_3[/tex]"
Step-by-step explanation:
Calculating the sum:
[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]
[tex]\to a+b = 20001+1112[/tex] // 163+41=204
[tex]=(21120)_3[/tex]
Explanation:
In the addition, first convert the given value (a,b) into decimal point that is (163, 41) and by adding its value is equal to (204) and after convert its value is equal to [tex](21120)_3[/tex].
Calculating the product:
[tex]a= (20001)_3 \\\\b= (1112)_3[/tex]
[tex]\to a*b = 20001*1112[/tex] // 163 *41=6,683
[tex]=(100011112)_3[/tex]
Explanation:
In the product calculation we convert the given value (a,b) into decimal point that is (163, 41) and multiplting its value which is equal to (6,683) and after convert its value is equal to [tex](100011112)_3[/tex].
10. Find the volume of the prism.
3 ft
7 ft
2 ft
Nicki needs to purchase AT LEAST 65 party decorations. The Party Palace charges
$0.50 per decorative streamer and $0.25 per balloon, including tax. Which
combination of streamers and balloons can Nicki purchase with $20.00 at the Party
Palace?
Answer:
B
Step-by-step explanation:
B is the most likely answer due to
13x.5=6.5
and
53x.25=13.25
13.25+6.5=19.75$
Now stop making a high schooler do your work xD
2) Apply the distributive property to solve the following.
(15 + 12) - 5
Answer:
Answer:
22
Step-by-step explanation:
15+12=27
27-5=22
Find the distance between the points (-7, -9) and (9, -9).
Answer:
may be the answer is (16,-9)
please show your work:
A crew of highway workers paved 3/15 miles in 15 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
a. 3/225
b. 4/5
c. 3/5
d. 1/20
Answer:
b . 4/5
60 :15 minute : 4
3 /15 x 4 = 12/15 = 4/5
A car dealership allows you to customize your new car. You can choose between blue, red, black, or silver paint. The interior comes in leather or cloth. You can also choose between a manual or automatic transmission. How many different new cars can you create?
a 32
b 16
c 8
d 10
Answer:
I think the answer is 16 option b
A trapezoid has a base of 5cm, a height of 4cm. What is the area?
Answer:
area = 16 cm²
Step-by-step explanation:
area of rectangle = 3x4 = 12
area of triangle = 2x4x0.5 = 4
12 + 4 = 16 cm²
another way is :
1/2(b1+b2)(h) = area
1/2(3+5)(4) = 16 cm²
if 6/11 of sum of money is 5400. find 7/9 of the same sum
Step-by-step explanation:
first u need to find the sum of the money then u can find the answer . u can check the picture above. i hope this help u
What are the key features of a Quadratic function? Give two ways you can solve Quadratic equations.
Answer:
1.Formula method(almighty formula）
2.Completing the square method
Step-by-step explanation:
Key features are:
1.They have coefficients
2.Roots
