Deshawn has several dimes and quarters that total $2.05. he has 3 fewer quarters than dimes. how many of each doe he have

Answers

Answer 1

Let
x = the number of dimes
y = the number of quarters

The total sum is $2.05, therefore
0.10x + 0.25y = 2.05
Divide through by 0.05 to obtain
2x + 5y = 41 (1)

There are 3 fewer quarters than dimes, therefore
y = x - 3 (2)

Substitute (2) into (1).
2x + 5(x - 3) = 41
2x + 5x - 15 = 41
7x = 56
x = 8
y = x - 3 = 5

Answer: 8 dimes, 5 quarters

Related Questions

Which object models a line ?
A. a fly
B. a wall
C. a meter stick
D. a television

Answers

The object is a meter stick that models a line.

What is a line?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature.

Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

In daily language, a line segment with two points designating its endpoints is also referred to as a "line."

From the given choices:

A meter stick models a line.

Therefore, the object is a meter stick.

To learn more about the line;

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Please help me thank you very much.

Please answer all 4 questions.

Answers

1. HI Because two parallel lines have to be on the same plane and never intersect.

2. Skew means the never intersect and they aren't on the same plane so it is GK and DH

3. Angle 3 corresponds because it is the bottom left and 7 is the bottom left.

4. 3 and 5 are same-side interior because they are both on the left side and both are inside.

Hope this helps!

how can you figure out how many miles you are using on a united fligjts

Answers

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kljhkwrjokbn[vj k
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tjsui bhvjghj

The number 23 is what percent of 66

Answers

15.18

66 divided by 100 =.66

.66 x 23 =15.18

23 of 66 is 34.8484%

A farmer drives a tractor from one town to another, a distance of 120 kilometers. He drives 10 kilometers per hour fast on the return trip, cutting an hour off the time. How fast does he drive each way?

Answers

120/x - 120/(x+10) = 1
120x + 1200 - 120x = x(x+10)
1200 = x^2+10x
x^2 + 10x - 1200 = 0
(x+40)(x-30) = 0
Positive solution:
x = 30 km/hr (rate on the 1st trip)
x+10 = 40 km/hr (rate on the return trip)

A sea turtle swims at a speed of 27 kilometers per hour. A girl swims 14 decimeters per second.

1 m = 10 dm

1000 m = 1 km

How much faster does the sea turtle swim than the girl in meters per minute?

Enter your answer in the box.

____m/min

Answers

366 m/min First, convert the turtles speed to meters per minute. 27 km/h * 1000 m/km = 27000 m/h / 60 min/h = 450 m/min Now convert the girls speed to meters per minute. 14 dm/s / 10 dm/m * 60 s/min = 84 m/min Now subtract the girl's speed from the turtle's speed. 450 m/min = 84 m/min = 366 m/min

~~~~~~~~~~The answer is 366 m/min~~~~~~~~~~~~~~~~~~ First, convert the turtles speed to meters per minute. 27 km/h * 1000 m/km = 27000 m/h / 60 min/h = 450 m/min Now convert the girls speed to meters per minute. 14 dm/s / 10 dm/m * 60 s/min = 84 m/min Now subtract the girl's speed from the turtle's speed. 450 m/min = 84 m/min = 366 m/min

How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?

Answers

when k = we have:-

0.2x^5 - 2x^3 + 1.8x = 0

so x = 0 is one solution

taking 0.2x out we have:-
0.2x( x^4 - 10x^2 + 9x) = 0

factoring::-

(x^2 - 9)(x^2 - 1) = 0

this gives x = +/= 3 and x = +/- 1

so there are 5 real solutions

Answer:

It is 5

When Y=1 I got 0

Is there a value of k for which the equation has just one real solution?

I put no

Then for the last one I put Yes

Step-by-step explanation:

Edg 2020

Which property of equality would be used to isolate the variable b in this equation? (3/4) b= 12

Answers

C. multiplication property of equality

Y2 + 30 ÷ x - 8 what is the value of the expression when x = 6 and y = 8?

Answers

Assuming that by Y2 you mean 2 * Y (I'd suggest flipping them for organizational purposes), you'd just plug in for the values.

So 2(8) + 30 ÷ 6 - 8. PEMDAS says we do the multiplication and division first.
This gives us 16 + 5 - 8 = 13.

Again assuming Y2 means 2 * Y in your equation, the answer is 13.

Y2 + 30 ÷ x - 8 i think this y power 2 ??

8 power 2 + 30 ÷ 6 - 8 =

64 + 30 ÷ 6 - 8 =

64 +5- 8 = 61

we use first the power then the multiplication or division and the last addition and subtraction

PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2

Answers

(2x/-5x)+x^2
(x(2)/(x(-5))+x^2

(-2/5)+x^2, the x values cancel in numerator and denominator and simplify to -2/5

Answer:

The excluded value is x=5.

Step-by-step explanation:

Given : Expression [tex]\frac{2x}{-5x+x^2}[/tex]

To find : Simplify the rational expression. State any excluded values.

Solution :

First we simplify the expression,

[tex]\frac{2x}{-5x+x^2}[/tex]

Taking x common from the denominator,

[tex]=\frac{2x}{x(-5+x)}[/tex]

Cancel the common term from numerator and denominator,

[tex]=\frac{2}{-5+x}[/tex]

To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.

[tex]-5+x=0[/tex]

[tex]x=5[/tex]

Therefore, The excluded value is x=5.

Please help! 20 points!

Answers

Since the object is larger, the dilation can not be negative and less than 1. Therefore, your answer is 1.25 (d). Also, 4 * 1.25 is 5.

divide: 5/4 = 1.25

answer is 1.25

Can someone help please? Thank you. SHOW ALL WORK.

Answers

question 1. 1) <2 and <5 = Given 2) <3 is congruent to <2 = Vertical angles 3) <3 and <5 are supplementary = same side interior angles 4) L is parallel to M = if two lines are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the two lines are parallel.

question 2. B is incorrect because subraction should have been done instead of addition.

question 3. Line 1 is a horizontal line so the equation of the line for line 1 is Y = 8 Line 2, first solve the slope of the line using points ( -4 , -5) and ( 0, -2) M = (y1 – y2) / (x1 – x2) M = ( -5 – ( -2)) / ( -4 – 0) M = ¾ Since its y intercept is at ( 0,-2) B = -2 Y = ¾ x -2 For c and d you should give a point at which the line is perpendicular or parallel

1. Is the equation true, false, or open? 9p + 8 = 10p + 7 A. Open; there is a variable. B. True; the expressions are the same for all values of the variables. C. False; the expression are never the same.

Also all the answers in the Unit Test please

Answers

C. False; the expression are never the same

What is the tangent of angle a?
a. 6/8
b. 8/10
c. 8/6
d. 6/10

Answers

tanA= opposite /adjacent
tan A= 8/6

We know that the tangent is the ratio of the opposite side of the angle and the adjacent side of the angle.

So...

Answer C. 8/6

For spring break you and some friends plan a road trip to a sunny destination that is 1705 miles away. if you drive a car that gets 39 miles per gallon and gas costs $3.339/gal, about how much will it cost to get to your destination?

Answers

1705/39 = 43.718 gallons
43.718*3.339 = $145.97

Answer:

$145.98

Step-by-step explanation:

You and some friends plan a road trip to a sunny destination that is 1705 miles away.

You drive a car that gets 39 miles per gallon.

Total gas used in the trip = [tex]\frac{1705}{39}[/tex]

= 43.7179487 ≈ 43.72 gallons

Gas costs per gallon = $3.339

Total cost to get to your destination = 43.72 × 3.339

= $145.98108 ≈ $145.98

The cost would be $145.98 to get to your destination.

Suppose y varies directly with X

Answers

Direct variation is represented by the following equation:

y = kx

We can use the given (x,y) point to find k.

18 = k * 3

k = 6

Our direct variation is

y = 6x

Now we need x when y = 24.

24 = 6x

x = 4

PLEASE HELP! I'm so confused!
Hourly employees working more than 40 hr a week are often paid "time and a half" for overtime, any hours beyond 40. In the formula p = wr + 1.5we, gross pay (p) is computed by multiplying the hourly wage (w) by the number of regular hours worked (r[tex] \leq [/tex]40) and adding 1.5 times the product of the hourly wage (w) and the number of extra hours (e) beyond 40. Find your gross pay if you work the given number of hours at the given rate.

40 hr at $8.12/hr

47 hr at $10.92/hr

Answers

ummmm..... 3245.78 per week.

Please help me solve this equation but show the steps so I can learn how to solve it.

0.25r-0.125+0.5r=0.5+r

Answers

0.25r−0.125+0.5r=0.5+r
0.25r−0.125+0.5r=0.5+r0.25r+−0.125+0.5r=0.5+r(0.25r+0.5r)+(−0.125)=r+0.50.75r+−0.125=r+0.50.75r−0.125=r+0.5
0.75r−0.125−r=r+0.5−r−0.25r−0.125=0.5.−0.25r−0.125+0.125=0.5+0.125−0.25r=0.625
−0.25r−0.25=0.625−0.25r=−2.5Answer:r=−2.5

At a baseball stadium the price for popcorn is $14.70 for 5 bags. If you wanted to buy 4 bags of popcorn, how much would it cost?

Answers

$11.77 ; Divide $14.70 by 5 to get the gist of each individual bag. Then multiply that number by 4.

A drama class has a total of 47 students. The number of males is 13 more than the number of females. How many males and how many females are in the class?

Answers

the answer would be 17 girls and 30 boys

What is the value of h(−2) when h(x)=3x+1 ?

Enter your answer in the box.

h(−2)=
HELP PLS 30PTS

Answers

h(x) = 3x+1

h(-2) = 3(-2) +1 =-6 +1 =-5

h(-2) = -5

Answer:

we have

h(x)=3x+1

now

h(-2)=3×-2+1=5 is your answer

Solve for x: 3x − 5 = 2x + 6.
1
−1
11
−11

Answers

First you want to get the x's on the same side
3x-5=2x+6
subtract 2x and add 5
x=11

Hope this helps!

Answer:

X = 11 sweetheart

Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

7x – 4y = 4
x – 4y = 3

A. Perpendicular
B. Parallel
C. Neither

Answers

I think C because parallel lines would have the same gradient or slope. If they were perpendicular the product of their slopes would be -1. Also parallel lines don’t intercept one another, but these equations can be solved for unique x and y which is their point of intersection.

Determine the nature of the roots of the function
f(x)=7x^2+5x-1

Answers

Finding the values of the discriminant:-

b^2 - 4ac = 5^2 - 4*7 * -1 = 25 + 28 = 53

There will be 2 real roots

Final answer:

To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.

Explanation:

The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:

D = b² - 4ac

D = (5)² - 4(7)(-1)

D = 25 + 28

D = 53

Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.

What is the value of x in the equation x – y = 30, when y = 15?

Answers

If y=15 then x=45 because 45 minus 15 is 30

Hope this helps :))

y=15 then x=45
thats ur answer :)

Two trucks leave a warehouse at the same time. one travels due north at an average speed of 48 miles per hour, and the other travels due south at an average speed of 64 miles per hour. after how many hours will the two trucks be 728 miles apart?

Answers

Final answer:

When two objects are moving in opposite directions, their relative speed is the sum of their speeds. In this scenario, the trucks will be 728 miles apart after 6.5 hours of travel.

Explanation:

The problem here is essentially an application of the concept of relative speed. The two trucks are traveling in opposite directions, so you add their speeds together to get the relative speed at which they are moving apart. That results in a combined speed of 48 mph (north) + 64 mph (south) = 112 mph. Now, to find out when they will be 728 miles apart, you divide the total distance by the combined speed:

728 miles ÷ 112 mph = 6.5 hours.

So, both trucks will be 728 miles apart after 6.5 hours.

Learn more about Relative Speed here:

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BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!

1. A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.

Which recursive function best represents the number of MP3 players in the store f(n) after n months?

f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 − 0.7 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 0.3 x f(n − 1) + 50, f(0) = 235, n > 0
f(n) = 237 + 0.7 x f(n − 1) + 50, f(0) = 235, n > 0

2. Sophia invested some money in a bank at a fixed rate of interest compounded annually. The equation below shows the value of her investment after x years:

f(x) = 500(1.05)x

What was the average rate of change of the value of Sophia's investment from the second year to the fourth year?

14.13 dollars per year
28.25 dollars per year
50.00 dollars per year
56.50 dollars per year

Answers

Part 1:

Given that a store had 235 MP3 players in the month of January and that every month, 30% of the MP3 players were sold and 50 new MP3 players were stocked in the store.

The number of MP3 players in the store after the previous months sale is given by 0.7f(n - 1) and the number of MP3 players in the store after new MP3 were added is 0.7f(n - 1) + 50.

Therefore, the recursive function that best represents the number of MP3 players in the store f(n) after n months is given by f(n) = 0.7 x f(n − 1) + 50, f(0) = 235, n > 0

Part 2:

The average rate of change of a function from a to b is given by

[tex]average \ rate \ of \ change= \frac{f(b)-f(a)}{b-a} [/tex]

Given that the equation showing the value of her investment after x years is given by

[tex]f(x)=500(1.05)^x [/tex]

Thus, the average rate of change of the value of Sophia's investment from the second year to the fourth year is given by

[tex]Average \ rate \ of \ change= \frac{f(4)-f(2)}{4-2} \\ \\ = \frac{500(1.05)^4-500(1.05)^2}{2} = \frac{607.75-551.25}{2} \\ \\ = \frac{56.5}{2} =28.25[/tex]

Therefore, the average rate of change of the value of Sophia's investment from the second year to the fourth year is 28.25 dollars per year.

1. f(n) = 0.7 x f(n â’ 1) + 50, f(0) = 235, n >= 0 2. 28.25 dollars per year 1. For this problem, let's construct the recursive formula ourselves. We know that f(0) will be 235 since that's the original stock and that n has to be greater than or equal to 0 (n=0 represents the starting stock). So we have f(n) = ?, f(0) = 235, n >= 0 Now each month we sell 30%, so we're left with 70% of the previous month's stock (100% - 30% = 70%). So let's take that into account for our function. f(n) = 0.7 x f(n-1), f(0) = 235, n >= 0 And each month we get another 50 MP3 players. Let's add that into our function. f(n) = 0.7 x f(n-1) + 50, f(0) = 235, n >= 0 And that's our answer. 2. Since we've been given the function f(x) = 500(1.05)^x, let's calculate the amount of money that we have after 2 years and 4 years. f(2) = 500(1.05)^2 = 551.25 f(4) = 500(1.05)^4 = 607.75 Now get the difference in money between those years. 607.75 - 551.25 = 56.50 And since we're talking about a period of 2 years and we want the average rate per year, divide by 2. 56.50 / 2 = 28.25 So the average change from year 2 to year 4 is $28.25 per year.

A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?

Answers

LW = 45
L + 2W = 19
L = 19-2W

substituting for L :-
W(19-2W) = 45

-2W^2 + 19W = 45

2W^2 - 19W + 45 = 0
W = 5 or 4.5

If W = 5, L = 9
If W = 4.5, L = 10

So there are 2 possible answers.

Solve for x. Show each step of the solution. 4.5(8−)+36=102−2.5(3+24) i need to show my work dont just give me the answer

Answers

4.5 * (8-) + 36 = 102 - 2.5 * 27
4.5 * 8 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 2.5 * 27
36 - 36 = 102 - 67.5
36 - 36 = 34.5
Since we know 36 - 36 doesn't equal 34.5 its not true so there is NO ANSWER.

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

36 - 4.5x + 36 = 102 - 7.5x - 60

-4.5x + 72 = 42 - 7.5x
add 7.5x to each side and subtract 72 from each side

3x = 42 - 72

3x = -30

Solving Quadratic Equations (pic link)?

Answers

(x * x) /2 = 27
x^2 = 54
x = sq root(54)
x = 7.34847
x = 7.3

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