The number of pennies that Anya has is equal to 15.6 pennies.
The number of dimes that Anya has is equal to 2.8 dimes.
How to determine the number of coins?In order to solve this word problem, we would assign variables to the number of pennies and dimes, the total number of coins, and then translate the word problem into algebraic equation as follows:
Let d represent the number of dimes.Let p represent the number of pennies.Let T represent the total number of coins.Note: 1 penny is equal to 0.05 dollar and 1 dime is equal to 0.10 dollar.
Therefore, translating the word problem into an algebraic equation, we have the following;
p = 10 + 2d ......equation 1.
0.05p + 0.1d = 1.06 .......equation 2.
Substituting equation 1 into equation 2, we have:
0.05(10 + 2d) + 0.1d = 1.06
0.5 + 0.1d + 0.1d = 1.06
0.5 + 0.2d = 1.06
0.2d = 1.06 - 0.5
0.2d = 0.56
Dimes, d = 0.56/0.2
Dimes, d = 2.8 dimes.
For the number of pennies, we have:
p = 10 + 2d
p = 10 + 2(2.8)
p = 10 + 5.6
p = 15.6 pennies.
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Find the amount due if $700 is borrowed for 14 months at 18% simple interest.
Answer:
I = $ 1,937.50
Step-by-step explanation:
i=prt
18/100=0.18
I=700(0.18)(14)
1,937.50
Can you help with these vocabulary word
Answer:
is more than 90 degrees right angles are 90 degrees
Can someone help me how do I make a equation for this I’m confused
The equation to represent the function P is y=4x as per the given points in the table.
What is meant by slope-intercept form?It is easier to see the slope (m) and y-intercept (c) of a line in the slope-intercept form of a linear equation (y=mx+c).
18th-century Switzerland. The first person to present a line's equation in slope intercept format might have been Jakob Hermann.
Y = mx + c is the true slope intercept form. It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.
You can see the line's slope and y-intercept in Slope-Intercept form. One point the line travels through and the slope of the line are both clearly displayed in point-slope form.
We know that, the equation of the line is y=mx+c
If this line passes through (0,0) then,
0=m(0)+c
then, c=0
Now, substituting the point (1,4) in the above equation and c=0 then we get,
4=m(1)+0
m=4
Now substitute the point (2,8) then,
8=m(2)+0
m=4
Similarly, by substituting the points (3,12), (4,16), (5,20), (6,24) we get,
m=4
Now, by substituting c=0 and m=4 in the above equation we get,
y=4x+0
y=4x
Therefore, the equation to represent the function P is y=4x
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A sum of money is divided among Mark, Mary and Gabrielle in the ratio 3:5:8 respectively. If Mary receives $600 more than Mark, what was the total sum of money shared?
The total sum of money shared is $4800
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. The general form of representing a ratio of between two quantities say 'a' and 'b' is a: b
The ratio of mark to Mary to gabrielle is 3:5:8
this means the total ratio is 16 i.e 3+5+8=16
if the total money is y and the money shared to mark is x, then
3/16× y= x
therefore 3y=16x
y= 16x/3 equation 1
Mary receives 600 more than mark,this means Mary share = 600+x
therefore 5/16×y= 600+x
5y= 16(600+x)
5y= 9600+16x equation 2
substitute 16x/3 for y in equation 2
5×16x/3= 9600+16x
80x/3= 9600+16x
multiply both sides by 3
80x= 3(9600+16x)
80x= 28800+48x
collect like terms
80x-48x= 28800
32x=28800
x= 900
substitute 900 for x in equation 1
y=16×900/3
y= 4800
therefore the total money shared is 4800
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A circle has a diameter of 30mm . What is its circumference? Use 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer
Answer:
94.2 mm
Step-by-step explanation:
You want the circumference of a circle that has a diameter of 30 mm.
CircumferenceThe circumference is given by the formula ...
C = πd . . . . . where d is the diameter
ApplicationYour circle has a circumference of ...
C = (3.14)(30 mm) = 94.2 mm
The circumference is 94.2 millimeters.
What was the difference between the population of Prince George's county (908,670) and Charles county (159,428) show your work on an open number line
The difference between Prince George's County's population (908,670) and Charles county (159,428) is 749,242.
What is the difference between the two values?To find the difference between two values, we use the mathematical operation of subtraction.
Subtraction operation involves the use of the minuend, subtrahend, difference, and equation sign.
The subtrahend is the number deducted from the minuend, to get the difference.
908,670 ... minuend
- 159,428 ... subtrahend
= 749,242 ... difference
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I need the linear Equation !
The function notation that represents the value of the television after x years is V(x) = 2100 - 235x
How to represent linear equation?You have just bought a new Sony 55'' 3D television set for $2100. The TV value decreases at a rate of 235 dollars per year.
The linear function to represent the value of the television after x years can be calculated as follows:
Linear equation in slope intercept form can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, using function notation, the linear function of the situation is as follows:
V(x) = 2100 - 235x
where
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An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
What is the tangential speed of the ball? Answer in units of m/s.
part 2
What is its centripetal acceleration? Answer in units of m/s2.
part 3
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
this is physics
The maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
What is centripetal force? For which motion does the centripetal force exists? Given a example?
The centripetal force is the force needed to keep a body moving in circular motion. It exists for circular motion. Example - rotation of earth around sun.
We have an athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.
[A] -
Tangential speed of ball = v = rω = 0.9 x 0.27 = 0.243 m/s
[B] -
Centripetal acceleration = a[c] = rω² = 0.9 x 0.27 x 0.27 = 0.06561
[C] -
Maximum tension = Maximum centripetal force = mrω² = 132.3
ω² = 132.3/mr
ω² = 18.60
v² = 18.60r²
v = 3.89 m/s
Therefore, the maximum tangential speed that the ball can have is 3.89 m/s. Centripetal acceleration is 0.06561 and tangential speed of ball will be 0.243 m/s
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What is/are the x-intercept(s) and y intercepts? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The point where the gradient line intercepts (touches) the y-axis is called y intercept.
The point where the gradient line intercepts (touches) the x-axis is called x intercept.
check the sketch attached.
What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(3,-4)?
The area of the given triangle is 10 square units.
We have a triangle. The vertices of the triangle are J (-2, 1), K (0, 3), and L (3,-4). We need to find the area of the triangle. We will use the determinant method to calculate the area of a triangle if the coordinates of the vertices are given. If the vertices of a triangle are (x1, y1), (x2, y2), and (x3, y3), then the formula for the area of the triangle is given below.
A = (1/2)|x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
A = (1/2)|-2(3 - (-4)) + 0(-4 - 1) + 3(1 - 3)|
A = (1/2)|-2(3 + 4) + 0(-5) + 3(-2)|
A = (1/2)|-14 + 0 + -6|
A = (1/2)|-20|
A = 10
Hence, the area of the triangle is 10.
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When Jeremiah’s granddaughter was born, he started saving quarters and half dollars for her. After 2 years he had saved a total of $70.75 for her. If the number of quarters was 2 less than three times the number of half dollars, how many quarters and how many half dollars did he save?
Answer:
57 half dollars and 169 quarters
Step-by-step explanation:
We will need a system of equations to solve this problem.
Given that the number of quarters is 2 less than three times the number of half dollars, we have Q = 3H - 2
Thus, we have 0.25Q + 0.50H = 70.75 and Q = 3H - 2.
The second equation allows us to use substitution:
[tex]0.25(3H-2)+0.50H=70.75\\0.75H-0.50+0.50H=70.75\\1.25H=71.25\\H=57[/tex]
We can plus this 57 into the second equation to find the number of quarters:
[tex]Q = 3(57)-2\\Q=169[/tex]
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24
months at a simple interest rate of 5.4%. What is the loans future value?
The loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
According to the question,
We have the following information:
Lynne needs to borrow $6250 for cosmetic surgery. She obtains a loan from her grandmother for 24 months at a simple interest rate of 5.4%.
We know that the following formula is used to find the simple interest:
Principal*rate*time/100
Principal = $6250
Rate = 5.4%
Time = 2 years
Simple interest = (6250*5.4*2)/100
Simple interest = 67500/100
Simple interest = $675
Now, the total amount of loan will be:
Interest + principal
675+6250
$6925
Hence, the loan's future value will be $6925 when Lynne pays a simple interest rate of 5.4%.
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Which shows the numbers -3,2, and -1 placed correctly?
Answer: The second one is correct.
Is V={4,2,111,6} a subset of Y={44,7,90,4,2,1,111,6}?
Set V is a subset of set Y
What is a subset?A set V is a subset of another set Y if all elements of the set V are elements of the set Y. In other words, the set V is contained inside the set Y. The subset relationship is denoted as V⊂Y.
Set V contain the following numbers {4,2,111,6}
It discovered that all the numbers in set V are there in set Y
set Y contains {44,7,90,42,1,111,6}
Therefore since the element of set V are in set Y , then set V is a subset of of set Y.
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You have \$20$20dollar sign, 20 to spend on taxi fare. The ride costs $5 per kilometer.
Write an inequality to determine the distance in kilometers, ddd, you can ride for sign, 20.
What is the maximum distance, in kilometers, you can ride for $20?
Answer:
5d≤20
4 kilometers
Step-by-step explanation:
pls mark
Olivia is a stockbroker. She makes 4% other sales in commission. Last week, she sold $7,200 worth of stocks.
a. How much commission did she make last week?
b. If she were to average that same commission each week, how much would she make in commissions in a year, treating a year as having exactly 52 weeks?
Olivia made $288 last week from her 4 percent commission and an average of $14,976 in 52 weeks
PercentageThe term "percentage" was adapted from the Latin word "per centum", which means "by the hundred". Percentages are fractions with 100 as the denominator. In other words, it is the relation between part and whole where the value of whole is always taken as 100.
In this question, she makes a commission of 4% on her weekly sales.
A) How much did she makes last week?
To find how much she made, we simply have to find 4% of 7200
0.04 * 7200 = 288
She made $288 last week.
B) If she made $288 each week, and we have 52 weeks in a year, we can multiply them and find how much she made in a year.
$288 * 52 = $14,976
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Do what the photo tells you!!!
Answer:
Step-by-step explanation:
for plan A, it's 16.50 per month
she paid 99.00
then the equation is :
m x 16.50 = 99.00
Now solve for m
m = 99.00 / 16.50
m= 6
so she paid for 6 months
King's Books sold 480 bookmarks last year, in comparison to 672 bookmarks this year. What is the percentage of the increase in the number of bookmarks sold annually?
The percentage
of the increase in the number of bookmards sold is 40%
To solve this problem, first we have to rewrite the problems into some equations, such:
s = 480 --> represent the last year's sale
s' = 672 --> represent this year's sale
Then, we should define
the increase on the sale
by finding the difference between the last year'ssale and this year's sale.
Δs = s'-s
Δs = 672 - 480
Δs = 192
Then we could get the percentage of increase in sales by dividing the increase in sale with the last year's sales. Hence we could find that:
Δs% = (Δs/s) x 100%
Δs% = [tex]\frac{192}{480}*100%\\[/tex]%
Δs% = 40%
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A manager at SUBWAY wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound. Find the final cost. [1.4 and 1.5]
The cost that the manager will pay for turkey and cheese is $127.182.
How to calculate the cost?From the information, the manager wants to find the total cost of 24.8 pounds of sliced turkey at $1.89 a pound and 38.2 pounds of provolone cheese at $2.05 a pound.
The total cost will be:
=> Cost for turkey + Cost for cheese
= (24.8 × $1.89) + (38.2 × $2.05)
= $48.872 + $78.31
= 127.182
The cost is $127.182
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Kadeesha is going to a carnival that has games and rides. Each game costs $2.50 and each ride costs $4.75. Kadeesha spent $48.75 altogether at the carnival and the number of games she played is twice the number of rides she went on. Write a system of equations that could be used to determine the number of games Kadeesha played and the number of rides Kadeesha went on. Define the variables that you use to write the system.
Using system of equation, we can determine that Kadeesha played 10 games and went on 5 rides.
System of EquationSystem of equations, or simultaneous equations, In algebra, two or more equations to be solved together (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, the number of equations must equal the number of unknowns.
Let;
x = gamesy = rides2.50x + 4.75y = 48.75 ...eq(i)
x = 2y ...eq(ii)
Solving equation (i) and (ii)
x = 10, y = 5
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Two integers , c and d , have a product of -6. What is the greatest possible sum of c and d?
hi guys please answer that question I should show the teacher
please answer the question that is under the graph
Answer:
with 12 students 3 fear spiders and other while 1 fear of snake and one of dogs. Some fear of all four
Step-by-step explanation:
hey hon, you were not very specific with what you teacher wanted but this is what i got hope it helps!!!!
Which pairs of polygons are similar?
Select each correct answer.
The pair of polygons that are similar to each other are all the pairs of polygons except the pair of rectangles.
What are Similar Polygons?Similar polygons are polygons that have corresponding side lengths that are proportional to each other, thus, they have the same shape by different sizes.
To determine if he given pairs of polygons are similar, check if their corresponding side lengths have the same ratio, that is, if they are proportional to each other.
For the trapezoids:
27/15 = 18/10 = 7.2/4 = 10.8/6 = 1.8
This means the trapezoids are similar.
For the rectangles:
18/10 ≠ 14/7
This means the rectangles are not similar.
For the right triangles:
32/24 = 24/18 = 40/30 = 1.33
This means the right triangles are similar polygons.
So also is the last pair of polygons similar to each other. Therefore, the only polygon that is not similar is the pair of rectangles.
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Find the next term with work
30, 27, 21, 9, __
We get the next term as -15 when the series are 30,27,21,9,_.
Given that,
The terms are 30,27,21,9,_
We have to find the next term.
An arithmetic sequence is a group of words where the common difference between any two subsequent words remains constant. Reviewing what a sequence is will help. A sequence is a group of integers that exhibit a pattern.
Take the terms,
30,27,21,9,_
Take the 1st 2 terms
30-27=3
Next,
27-21=6
Next,
21-9=12
Here, We have 3,6,12
That mean 3+3=6 and 6+6=12
Next is 12+12=24
So,
9-24=-15
Therefore, We get the next term as -15 when the series are 30,27,21,9,_.
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Find a polynomial function that has the given zeros. (There are many correct answers.)
0, -3, -4
f(x) =
Answer:
below
Step-by-step explanation:
f(x) = x(x+3)(x+4) would be one
= x^3 + 7x^2 + 12x
Solve for t.
13 + t = 51
A. t = 37
B. t = 38
C. t = 42
D. t = 64
Answer: the answer is 38
Step-by-step explanation:
all you have to do is subtract 51-13 and the answer of that is the asnswer. :)
Select the three equations that pass through the points (–4, –16) and (5, 2): y + 4 = 2(x – 16) y – 2 = 2(x – 5) y = 2x – 8 y + 16 = 2(x + 4)
The equations that passes through the points (-4, -16) and (5, 2) are: y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
How to Find the Equations that Passes Through a Point?To determine if an equation passes through a given point, plug in the values of the x and y coordinates of the point into the equation to see if it would make the equation true. If it is true, then the equation passes through the points.
Alternatively, graph the equation on a coordinate plane to see if it passes through the given point.
The graph shows the equations given.
The red line represents y + 4 = 2(x – 16).
The blue line represents y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4).
Therefore, y – 2 = 2(x – 5), y = 2x – 8, and y + 16 = 2(x + 4) passes through the points (–4, –16) and (5, 2).
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Using the following uniform density curve what is the probability that the random variable has a value less than 2.7?
The probability that the random variable has a value less than 2.7 is 0.337
What is Probability?
Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.
in the given question we have;
a random variable has a value of less than 2.7.
So,
Probability of (less than 2.7)
= area of rectangle starting from 0 to 2.7
= (2.7 - 0) × 0.125
= 0.3375
Hence,
The probability that the random variable has a value less than 2.7 is 0.337
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Prove or disprove:
It is possible to construct, using only straightedge and
compass, a rectangular box with square base of length x and height y
whose volume is 3 cubic units and surface area is 7 square units..?
Answer:
True/Prove
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I need help with this question: "2/3 x 12/17 x 1/4" and it says to simplify
Step-by-step explanation:
2/3 x 12/17 x 1/4" simplify the expression
"2/3 x 12/17 x 1/4" = 12/102
Answer:
Step-by-step explanation:
look at your bases! do you see how the bases are 3, 17 and 4? All you need to do is find the least common multiple for the numbers, and you will have a base.
If you do that, you get a base of 207.
First, multiply all the fractions top and bottom by 207:
then multiply the top numbers, and leave the bottom the same, to get an answer. Now, simplify.
You should get 2/17 hopefully :)