Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together. Determine the number of pennies in the number of nickels that Autumn has.
Answers
The number of pennies and nickels are 9 and 11 respectively.
How to find the number of pennies and nickels?Autumn has $.64 worth of pennies and nickels. She has a total of 20 pennies and nickels all together.
Therefore,
let
x = number of pennies
y = number of nickels
Hence,
x + y = 20
0.01x + 0.05y = 0.64
Multiply equation(i) by 0.01
0.01x + 0.01y = 0.2
0.01x + 0.05y = 0.64
0.04y = 0.44
y = 0.44 / 0.04
y = 11
Therefore,
x = 20 - 11
x = 9
Therefore, the number of pennies and nickels are 9 and 11 respectively.
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Related Questions
if you are given a number x and you subtract a number from it. under what circumstance will the answer be negative
Answers
the number x, you must deduct another number from it , conditions will the response be unfavorable,
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In an expression, a positive number is subtracted from two other integers. If the value of the negative number is higher than that of the positive number, then the expression's value will be considered negative. Additionally, according to the fundamental rule of integers, the number's sign-bearer must always have a higher value.
For instance,
1. 2 - 3 = -1
2. 10 + (- 8) + (- 11) = -9
3. -6 + 3 = -3
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Math 1325 problem im stuck on
Answers
Using limits, the average cost when printing an increasing large number is of $115.
How to solve a limit when x goes to infinity?When x goes to infinity and we want to solve the limit, we consider only the term with the highest degree. If we have a fraction, as is the case in this problem, we consider the terms with the highest degree of the numerator and of the denominator.
For this problem, the cost function is:
[tex]C(x) = \frac{450 + 115x}{x}[/tex]
The terms with largest degree are the multipliers of x, with degree 1, hence the limit is given as follows:
[tex]\lim_{x \rightarrow \infty} C(x) = \lim_{x \rightarrow \infty} \frac{450 + 115x}{x} = \lim_{x \rightarrow \infty} \frac{150x}{x} = 150[/tex]
Hence the average cost when printing an increasing large number is of $115.
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If you have only $50, can you afford to buy a pair of shoes marked $69.99?
Answers
Suppose you just won the state lottery, and you have a choice between receiving $4,500,000 today or a 20-year annuity of $250,000, with the first payment coming one year from today. What rate of return is built into the annuity? Disregard taxes
Answers
A 1.03% rate of return is built into the annuity.
First optionTo receive a single payment today of $4,500,000Second optionTo receive an annual payment of $250,000.Term is equal to 20 years.Let the rate of return be x%.A series of payments paid at regular intervals is known as an annuity. Regular savings account deposits, mortgage payments, insurance premiums, and pension payments are all examples of annuities. The periodicity of payment dates allows for the classification of annuities.At this rate, the present value of the annuity is $4,500,000.The present value of the first option equals the present value of the second option. $4,500,000 = $250,000[1/x + 1/x² + … + 1/x^20]Upon solving, we get approximately x is 1.03%.To learn more about annuity, visit :
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A perpendicular bisector of DC is AB and a perpendicular bisector of AB is DC. the intersection of AB and DC is at E. Which equation is true?
EB =CD
AE= DE
DE = CE
CD= CE
AB=CD
Answers
Answer: DE = CE
Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.
DE = CE is true.
A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.
Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.
This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.
Now, since AB bisects DC at point E
⇒ DE = CE
and similarly, DC bisects AB
⇒ AE = BE
Apart from these two equalities, we cannot infer anything else from the given information.
Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.
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1 foot = 0.305 meters to convert 20 meters into feet.
20 meters = feet
Answers
20 meters equal to 65.6168 feet by unit conversion.
What is unit conversion?
The process of translating measurements of a given quantity between different units, frequently using mathematical conversion factors that change the measurement of the quantity without changing its effects, is known as unit conversion.The specific circumstances or the desired result dictate the conversion process. This may be governed by regulation, contract, set of technical requirements, or other publicly available standards.Certain measurements must be accurately converted from one system to another without compromising the accuracy of both the original measurement.Each conversion factor is chosen based on the relationship here between particular pair of original units and a particular pair of target units.Using the given information about unit conversion, that,
1 foot = 0.305 meters
1 meter= (1/0.305) feet
20 meters = (1/0.305)*20 = 65.6168 feet
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4x 2x - 2 = 2x
What does “X” equal?
Answers
Answer: x=0.5
Step-by-step explanation:
4x+2x - 2 = 2x
6x-2=2x
6x=2x+2
4x=2
x=0.5
Can someone help me with this
Answers
Answer:
[tex]\sqrt{40}[/tex] would the answer to number 1.
(-1, 2) would be the answer to number 2.
PLEASE HELP DUE TODAY, WILLGIVE LOTS OF POINTS. On a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on a different map with a scale 1:300,000?
Answers
Answer:
4cm
Step-by-step explanation:
the ratio of the two scales is 100,000:300,000 which simplifies to 1/3
1/3 x 12 =4
The value of a phone when it was purchased was $500. It loses 1/5 of its value a year. What is the value of the phone after 1 year, 2 years, and 3 years?
Answers
Answer:
$200
Step-by-step explanation:
1/5 of 500 is 100 because 5 100s equal 500. so 3 years is 300. 500-300=200
Select all the correct locations on the image.
The revenue and cost functions for a product line of running shoes are shown on the graph. Which points on the graph are considered
breakeven points?
Total (dollars)
-5,000
4,000
3,000
+2,000/
+1,000
20
C(x)
Reset
27.
40
60
80
Price per Shoe (dollars)
Next
R(x)
100
120
Answers
Answer:
1) 4,000
2) 3,000
3) 20
4) 27
5) 40
6) 60
7) 80
8) 100
9) 120
Step-by-step explanation:
Translate this phrase into an algebraic expression.
The sum of 17 and twice Matt's score
Use the variable m to represent Matt's score.
Answers
Answer:
17 + 2 x m
Step-by-step explanation:
sum is to add and twice is to multiply by 2
What is the value of c in the equation below?
Answers
Answer:
1/4
Step-by-step explanation:
[tex]x^y \ctimes x^z = x^{y + z}[/tex]
[tex]2^{-4} \cdot 2^2 = 2^{-4 + 2} = 2^{-2} = \frac{1}{2^2} = \frac{1}{4}[/tex]
OC
Question B
Jim and Wendy Scott's home lot is illustrated here.
The Scotts which to hire a lawn service to cut their
lawn. M&M Lawn Service charges $0.03 per square
yard of lawn. How much will it cost for the Scotts to
have their lawn cut?
K
24
ft
Pool
$6,480
17
-200 ft-
mbell 40 ft
Patio
Shed
10 ft
Drive 30 ft
10 ft
10 ft
House-50 ft-25 ft 100 ft
8 ft
Answers
$ 58.392 will it cost for the area of Scotts to have their lawn cut.
What does area in math mean?
Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.Area of pool = πr² = π(12)²= 452.4 ft²
area of house = 25 × 50 = 1250 ft²
area of ratio = 40 × 10 = 400 ft²
area of drive = 30 × 10 = 300 ft²
area of shed = 10 × 8 = 80 ft²²
total are all combined for above will be = 2482.4 ft²
total area of plot = 200 × 100 = 20000 ft²
lawn area = 20000 - 2482.4 = 17517.6 ft²
on converting ft² into yard²
lawn area = 17517.6 ft² = 1946.4 yard²
cost of each yard² = $0.03
then total cost = 1946.4 × $0.03
= $ 58.392
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Jessica is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Jessica has been adding money. Suppose that x and y are related by the equation =+55030xy.
Answers
After differentiating, the amount when x=0 yields starting amount,
300 dollars.
What is diffrentiation?
A technique for determining a function's derivative is differentiation.A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of variation based on a particular variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.In mathematics, differentiation is used to determine change rates.Differentiating the given equation with respect to x,
Given equation,
y= 55x+ 300
[tex]\frac{dy}{dx} =\frac{d(55x+300)}{dx} = 55+0 =$55[/tex] dollars.
The amount when x=0 yields starting amount,
y=55(0)+300=300
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Complete the table with the number of sit-ups you need to do on Sunday so that the mean number of sit-ups per day is 80.
Monday: 100
Tuesday: 80
Wednesday: 60
Thursday: 70
Friday: 90
Saturday: 100
Sunday: X
If correct you get brainliest!
Answers
Identify the slope of the line. Interpret the slope in the context of this problem. Y=-2.3332x+123.98
Answers
Answer:
Slope = 2.3332
Interpretation: As increases by 1 unit, y increases by 2.332 units
Step-by-step explanation:
Equation of a line in slope-intercept form is
y = mx + b
where m = slope and b = y-intercept
Comparing y=-2.3332x+123.98 to the standard equation form we get
m = 2.3332
b = 123.98
Slope is rise/run
It tells you the change in y-value for a unit change in x-value
Here 2.332 can be interpreted to mean that as x changes by +1 value, y changes by + 2.332
you have earned $151.00 with coins that are $2.00 and $5.00. How many coins of each will you have if you have a total of 47 coins?
Answers
The coins are 19 and 28 each
How to calculate the number of coins ?Let x represent the first coin and let y represent the second coin
x + y= 47.....equation 1
2x + 5y= 151.......equation 2
From equation 1
x + y= 47
x= 47-y
Substitute 47-y for x in equation 2
2(47-y) + 5y= 151
94 - 2y + 5y= 151
collect the like terms
94 + 3y = 151
3y= 151 - 94
3y= 57
y= 57/3
y= 19
Substitute 19 for y in equation 1
x + y = 47
x + 19 = 47
x= 47-19
x= 28
Hence the coins are 19 and 28 each
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A nail 6 1/3 inches long is driven into a board 2 2/5 inches thick. How much of the nail
protrudes from the other side of the board?
Answers
The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of 2[tex]\frac{2}{5}[/tex] inches
Given that A nail 6 [tex]\frac{1}{3}[/tex] inches long is driven into a board 2 [tex]\frac{2}{5}[/tex] inches thick and asked to find out how much the nail protrudes into the board.
To calculate the nail protrudes, need to subtract the length of the nail and the thickness of the board.
Length of nail protrudes= 6 [tex]\frac{1}{3}[/tex] - 6 [tex]\frac{1}{3}[/tex]
Length of nail protrudes=[tex]\frac{19}{3}[/tex]-[tex]\frac{12}{5}[/tex]
Length of nail protrudes=[tex]\frac{59}{15}[/tex]
Length of nail protrudes= 5[tex]\frac{9}{15}[/tex] .
Therefore,The nail protrudes 5[tex]\frac{9}{15}[/tex] inches from the other side of the board having a thickness of 2[tex]\frac{2}{5}[/tex] inches
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Is 70,509,733 divisible by 6?
Answers
Answer:
no
Step-by-step explanation:
70,509,733 /6=11751622.2
Answer:
no
Step-by-step explanation:
because it has to be divisible for both 2and 3.
2:
70,509,733
3 is not even. so, not divisble by 2
3:
70,509,733
7+0+5+0+9+7+3+3= 34
34 is not divisble by 3
I HOPE THIS HELPS
2/9=?/18=?/27 help pleace thank u so much
Answers
Answer:Not there yet
Step-by-step explanation: Think about it your close 2/9 = nothing why do numbers determine our grades so don't answer if anything flunk out of school
Which expression is equivalent to 4−3(x+2)+2(3−2x)? −7x+16 −7x+4 −x+16 −x+4
Answers
The equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4
How to determine the equivalent expression?The expression is given as:
4 − 3(x + 2) + 2(3 − 2x)
Open the brackets
4 − 3(x + 2) + 2(3 − 2x) = 4 - 3x - 6 + 6 - 4x
Collect the like terms
4 − 3(x + 2) + 2(3 − 2x) = - 3x - 4x + 4 - 6 + 6
Evaluate the like terms
4 − 3(x + 2) + 2(3 − 2x) = -7x + 4
Hence, the equivalent expression of 4 − 3(x + 2) + 2(3 − 2x) is -7x + 4
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order of operations MC
Joshua purchased a game card for the arcade for a total of $15. He played two basketball hoop games for $2.75 each and three rounds of air hockey for $1.25 each. How much did he have left on the game card?
Answers
Answer: $5.75
Step-by-step explanation: 2.75 x 2 = 5.5 1.25 x 3 = 2.75 2.75 + 5.5 = 9.25 $15 - $9.25 = $5.75
Most new jobs in the United States will be in the _____. a. manufacturing industries b. goods-producing industries c. service-producing industries d. agriculture-producing industries Please select the best answer from the choices provided A B C D
Answers
Answer:
C - service producing industries.
Step-by-step explanation:
Brainliest pls, thank you
Answer:
Option C
Step-by-step explanation:
I took this already
Write the decimal equivalent of:
Three hundred three and two hundredths
Answers
Answer: 303.002
Step-by-step explanation:
Write an equation of the form y=a sin b x or y=a cos b x to describe the graph below.
Answers
Greetings from Brasil...
In a trigonometric function of Cosine, we have:
F(X) = ±A ± B.COS(MX + N)where
A = move the graph up or down
B = change the amplitude
M = change period
N = move the graph left or right without distorting it
According to the statement, we don't have A and N, so
F(X) = ± B.COS(MX)
According to the graph presented, we have:
B = amplitude = 2.5 = 5/2
period = π
detail that
Period = 2π/M
π = 2π/M ⇒ M = 2
As B = 5/2 and M = 2, then
F(X) = (5/2)COS(2X)(I used the cosine function, because in X = 0 Y will have a non-zero value, as we can see in the graph)
i need help asap. plsss give me the right answer
Answers
Answer:
x < 3
Step-by-step explain: I used quizlet
What is the summative product of B4=MY when B=M to the 2nd power times the Y? Explain how you got the answer.
Answers
The summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
How to use Laws of Exponents?We are given the equation as;
B⁴ + [tex]M^{y}[/tex]
Now, we are further told that;
B = [tex]M^{2y}[/tex]
Thus, we have our original expression as;
[tex](M^{2y})^{4}[/tex] = [tex]M^{y}[/tex]
According to laws of exponents, we know that;
When multiplying like bases, the same bases are kept and we add the exponents. When raising a base with a power to another power, retain the base the same and multiply the exponents. When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.Thus; (x²)³ = x²*³ = x⁶
Applying that to our expression means we now have;
[tex]M^{8y} + M^{y}[/tex]
Thus, the summative product of B⁴ + [tex]M^{y}[/tex] is; [tex]M^{8y} + M^{y}[/tex]
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Answer:
wtfStep-by-step explanation:
Write an inequality and then solve.
9. A freight elevator can safely hold no more
than 2200 pounds. An elevator operator must
take 60-pound boxes to a storage area. If the
operator weighs 155 pounds, how many boxes
can be safely moved at one time?
Answers
Let the number of boxes be x.
The total weight of the boxes is 60x.
Adding the operator, the total weight is 60x+155, which is no more than 2200.
[tex]60x+155 \leq 2200 \\ \\ 60x \leq 2045 \\ \\ x \leq 34.08333... \\ \\ \lfloor x \rfloor =\boxed{34}[/tex]
The depth of a local river averages 20 ft, which is represented as |−20|. In January, it measured 6 ft deep, or |−6|, and in July, it was 22 ft, or |−22|. What is the difference between depths in January and July?
Answers
The computation shows that the difference in depth is 16 feet
How to calculate the value?From the information, in January, it measured 6 ft deep, or |−6|, and in July, it was -22.
Therefore the difference between the depth will be:
= -6 - (-22)
= -6 + 22
= 16
Therefore, the difference in depth is 16 feet
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