Answer:
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Step-by-step explanation:
The total amount of coins is given by x.
Ratio 3:5:7
[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.
[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.
[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.
The total amount of money is $1856.
This means that:
[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]
Multiplying everything by 15
[tex]3x + 2.5x + 1.75x = 27840[/tex]
[tex]7.25x = 27840[/tex]
[tex]x = \frac{27840}{7.25}[/tex]
[tex]x = 3840[/tex]
Amount of coins of 1 dollar:
[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]
Amount of 50 cent coins:
[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]
Amount of 25 cent coins:
[tex]\frac{7*3840}{15} = 1792[/tex]
There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins
Given this circle puzzle what would angle 1-12 be? (Geometry)
PLS HELP ASAP Ms. Farrell has 36 students in her class. This is 5 more
students than Mr. Carter has.
How many students does Mr. Carter have? Choose the correct equation and
answer.
A. X+36 = 5
x = 41 students
B. x+ 5 = 36
x= 41 students
O C. X+41 = 36
x= 77 students
D. x+ 5 = 36
x= 31 students
Answer:
its d 31 is 5 less than 36.....
316.1 -
is about 300. Which decimal, rounded to the nearest whole number, makes the equation true?
O
A. 31.6
B. 15.7
C. 6.1
D.3.16
Answer:
c
Step-by-step explanation:
Elena mixes 5 cups of apple juice with with 2 cups of ginger ale to make punch for a party she wants to make 35 cups of punch how much apple juice does she need to buy?
Answer:
25 cups of apple juice and 10 cups of sparking water.
Step-by-step explanation:
y=3x/5-6 in standard form
Answer:
The standard form is 3x-5y-30=0
The coordinates of the vertices of triangle ABC are A(9.-10), B(-15, 0), and C(15, 10). A dilation centered at (0, 0) is perfomed on triangle ABC to produce triangle ABC. The coordinates of the vertices of triangle A'B'C' are A' (13.5, -15), B(-22.5, OJ, and C(22.5, 15). Find the scale factor. will mark brainlyst
PLS HELP
What is the length, in feet, of AD in the isosceles trapezoid ABCD?
15 ft
c
1410
5 ft
A
D
F
Note: Figure is not drawn to scale.
O 3 feet
O 10 feet
O 141 feet
O 21 feet
Answer:
21 feet
Explanation:
Using pythagorean theorem to find the length of the added length of the bottom.
A^2+B^2=C^2 or 4^2+B^2=5^2 or 16+B^2=25
25-16=9 so B^2 is 9 and the square root of that is 3 so B is 3. Then you add 15+3+3 to get 21.
Ples help me
IF its wrong i will report u
ill give you the best if it right and who ever is first.
Answer:
A, B, and D are equal to 75%
Step-by-step explanation:
Hope it helps!
Answer:
B., A. and D.
Because they all equal 75%!
Jason planted 11 packs of seed in his 4 gardens. he Planted the same amount of seed in each garden. how many packs of Seed Were planted in each were planted in each garden?
2.75 packs
Step-by-step explanation:
11 packs ÷4 gardens =2.75 packs per garden
Is 3.5 and 3.55 a equivalent decimal?
A strawberry farmer will receive 37 per bushel of strawberries during the first week of harvesting each week after that the value will drop 0.8 per bushel the farmer estimates that there are approxiamately 129 of strawberries int he fieldsand that the crop is increasing at a rate of four bushels per week when should the farmer harvest the strawberries to maximize their value? (Assume that "during the first week of harvesting" here means week 1. How many bushels of strawberries will yield the maximum value? (Round your answer to the nearest integer.)
bushels
2. What is the maximum value of the strawberries? (Round your answer to two decimal places.)
$
Answer:
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
b.)
Revenue = bx = (157)(31.4) = $ 4929.8
Step-by-step explanation:
Let number of bushes = b
The price of the bushes = x
The time to harvest = t
The revenue = y
Now given,
Price = x = 37 - (0.8)t
and
Number of bushes = b = 129 + 4t
Also,
The revenue = (Number of bushes)(Price of the bushes)
= bx
= (129 + 4t)[37 - (0.8)t]
= 129×37 - 129× (0.8)t + 4×37t - 4×0.8t²
= 4773 - 103.2t + 148t - 3.2t²
= 4773 + 44.8t - 3.2t²
⇒ y = 4773 + 44.8t - 3.2t²
Now,
[tex]\frac{dy}{dt}[/tex] = 0 + 44.8 - 6.4t
Now,
[tex]\frac{dy}{dt}[/tex] = 0
⇒ 44.8 - 6.4t = 0
⇒ - 6.4t = -44.8
⇒ 6.4t = 44.8
⇒t = [tex]\frac{44.8}{6.4} = 7[/tex]
Now,
[tex]\frac{d^{2}y }{dt^{2} }[/tex] = -6.4
As [tex]\frac{d^{2}y }{dt^{2} }[/tex] < 0 ,
It means at time t = 7 , the revenue is maximum
a.)
Number of bushes = b = 129 + 4(7) = 129 + 28 = 157 bushes
Price = x = 37 - (0.8)(7) = 37 - 5.6 = 31.4
b.)
Revenue = bx = (157)(31.4) = 4929.8
What is the value of the digit 9 in 71.92
Answer:
.90
Step-by-step explanation:
?
solve each equation for given variable
- 12 = 6i- 6
The Wall Street Journal reported that the median salary for middle-level manager jobs was approximately $85,000 (The Wall Street Journal, August 6, 2013). Suppose that an independent study of middle-level managers employed at companies located in Atlanta, Georgia, was conducted to compare the salaries of managers working at firms in Atlanta to the national average. The following data show the salary, in thousands of dollars, for a 8. sample of 15 middle-level managers.
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
a. Compute the median salary for the sample of 15 middle-level managers. How does the median for this group compare to the median reported by The Wall Street Journal?
b. Compute the mean annual salary and discuss how and why it differs from the median a. b. computed in part (a).
c. Compute the first and third quartiles.
Answer:
Median = $80,000 ; Mean = $84,000 ; Q1 = 67,000 ; Q3 = 106,000
Step-by-step explanation:
Given the data :
108 83 106 73 53 85 80 63 67 75 124 55 93 118 77
Reorderd data :
53, 55, 63, 67, 73, 75, 77, 80, 83, 85, 93, 106, 108, 118, 124
The median salary:
1/2(n+1)th term
Sample size, n = 15
1/2 (15 + 1)th term
1/2(16)th term
8th term = 80
Median is $80,000
Median reported by Wall Street Journal approximately $85000
The obtained and reported values are close
The mean annual salary :
ΣX / n = 1260 / 15 = 84
Mean annual salary = $84,000
Mean is the average of all earnings combined, median is the mid value of he data.
First and third quartile :
Q1 = 1/4(n+1)th term
Q1 = 1/4(16)th term
Q1 = 4th term = 67
Third quartile:.
Q3 = 3/4(n+1)th term
Q3 = 3/4(16)th term
Q3 = 12th term = 106
Can someone help plzzz!!!
Answer:
4
Step-by-step explanation:
4•4•4 = 64
Answer:
4
Step-by-step explanation:
cubic root of 64 is 4, since 4^3 = 64
Elijah invested $280 in an account paying an interest rate of 2.1% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $360?
Answer: 12
Step-by-step explanation:
Mori just replaced the showerhead in her bathroom. the old one used 5.75 gallons per minute of water. Her new showerhead uses 2.5 gallons per minute. how many times has much water did Mori's old showerhead use?
Answer:
3.25
Step-by-step explanation:
In a first-aid kit the ratio of large bandages to
small bandages is 5 to 3. Based on this ratio,
how many large bandages are in the kit if there
are a total of 80 bandages?
A. 50
B. 48
C. 16
D. 40
Math nerds help me out
Answer:
the 3rd one
y= (x-1)(x-6)
Step-by-step explanation:
Answer:
y=(x-1)(x-6)
Step-by-step explanation:
from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6
it crosses the x axes on the roots, which happens at 1 and 6 on the graph
Caroline borrowed 300,000 from the bank in order to buy a house. If the simple interest RATE that the bank charged her was 3.5%, and she ended up paying the bank back a total of $615,000 (principal and interest total), how long (in years) did it take her to pay back the loan?
Answer:
915'000.+123=915,123
Help plz I don’t know the answer!!
Answer:201 11/21
Step-by-step explanation:
The number 4232 is called the numerator or dividend, and the number 21 is called the denominator or divisor.
The quotient of 4232 and 21, the ratio of 4232 and 21, as well as the fraction of 4232 and 21 all mean (almost) the same:
4232 divided by 21, often written as 4232/21.
Read on to find the result of 4232 divided by 21 in decimal notation, along with its properties.We provide you with the result of the division 4232 by 21 straightaway:
4232 divided by 21 = 201.523809
The result of 4232/21 is a non-terminating, repeating decimal. The repeating pattern above, 523809, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 4232/21 = 201.(523809): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 4232 / 21 = 201.523809… .
4232 divided by 21 in decimal = 201.523809
4232 divided by 21 in fraction = 4232/21
4232 divided by 21 in percentage = 20152.38095238%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 4232 and 21, of course. Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 4232, and the denominator, e.g. 21, have been inserted. No need to press the button, unless you want to start over.
Classify each number according to its value
5.2×10-4
Answer:
48
Step-by-step explanation:
first put 5.2 x 10 in parentheses . Which you do first then subtract 4 and you will get your answer.
Simplify 7-(3x+5y)+6(2x-3y)+8y
Answer:
Step-by-step explanation:
First get rid of the parentheses. Distribute the - sign and the +6 to each one.
[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]
Ralph Chase plans to sell a piece of property for $150000. He wants the money to be paid off in two ways a - short-term note at 11% interest and a long-term note at 8% interest. Find the amount of each note if the total annual interest paid is $15200
.
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
Can someone explain to me better on identifying linear functions? Like how would I know the difference when identifying them? Are they a function or not?
Answer:
A linear function is a straight line and a non-linear function is not a straight line.
Step-by-step explanation:
How do I find the volume of this pyramid
Answer:
10*10*12 = 120 ÷ 3 = 40
Step-by-step explanation:
The formula to find a pyramid's volume is
V = [tex]\frac{l*w*h}{3}[/tex] (length 'times' width 'times' height, divided by 3)
Please help!
Consider matrices A, B, and C.
Which matrix represents (A-B)-C?
Answer:
B.) I cant insert a 2x2 matric but the [5 7
7 4] matrix is correct
Step-by-step explanation:
I got a 5/5 on the test so I know that B is the correct answer
The matrix which represents (A-B)-C will be the matrix in option (B).
What is the matrix?matrix, a collection of numbers lined up in rows and columns to produce a rectangular array. The elements of the matrix, also known as the entry, are the numerals.
In another word, a matrix is a set of variables that are arranged in such a good way that we can create algebraic equation from that.
In computer graphics, where they have been used to describe picture transformations and other alterations, matrices have vital applications as well in many sectors.
Given that the matrix
A - B = [first raw 3 ,1 in second raw 2 ,0]
Now (A - B) - C = [ first raw 5 ,7 in second raw 7 , 4]
Hence, the correct option is (B).
For more about matrices
https://brainly.com/question/11367104
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When the radius of a sphene is doubled what is the resulting change in volume?
Answer:
3rd power
Step-by-step explanation:
When the radius of the sphere was doubled it doubled 8 times . it raised so much because of the third power.
Glad I could help (Maybe)
What is the answer please
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 5 answer choices- a, b, c, d, e- and only one correct answer. What is the probability that he answered both of the problems correctly? Write your answer as a fraction in simplest form.