Kendra has $15.40 in dimes and quarters. If she has 4 times as many quarters as dimes, how many of each coin
does she have?

Answers

Answer 1

Answer:

14 Dimes and 56 Quarters

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Also, I'll use pennies (not dollars) to eliminate the hassle of decimal points.

We are told that:

10D + 25Q = 1540  [Kendra has $15.40 in dimes and quarters]

We also find that:

Q = 4D     [4 times as many quarters as dimes]

Substitute the expression for Q in the second equation into the first:

10D + 25Q = 1540

10D + 25(4D) = 1540

10D + 100D = 1540

110D = 1540

D = 14

Since Q = 4D:

Q = 4(14)

Q = 56

==========

Check:

Does 10D + 25Q = 1540  ?

10(14) + 25(56) = 1540

140 + 1400 = 1540  YES

Does Q = 4D   ?

56 = 4(14)  YES


Related Questions

whats 2/3 divided by 1/4

Answers

Answer:

8/3 or 2 2/3

Step-by-step explanation:

2/3 ÷ 1/4

The numbers in 2/3 divided by 1/4 are labeled below:

2 = dividend numerator

3 = dividend denominator

1 = divisor numerator

4 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

2*4/3*1=8/3

Thus, the answer to 2/3 divided by 1/4 in fraction form is:

8/3

Here we will show you how to calculate 2/3 divided by 1/4. We will give you the answer in fraction form and in decimal form.

Here is 2/3 divided by 1/4 displayed mathematically in colors:

2/3  ÷  1/4

The numbers in 2/3 divided by 1/4 are labeled below:

2 = dividend numerator

3 = dividend denominator

1 = divisor numerator

4 = divisor denominator

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

2 x 4/3 x 1= 8/3

Thus, the answer to 2/3 divided by 1/4 in fraction form is:

8/3

To make the answer to 2/3 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

8/3 = 2.6667

The answer is rounded to the nearest four decimal points if necessary.

8/3 is an improper fraction and should be written as 2 2/3.

Question 2 of 5
Which inequality is true if x = 18?
O A. 25 – x> 8
OB. 0.5x< 7
O C. 6 > 2
OD. I <3

Answers

Answer:

C

Step-by-step explanation:

A

25 - x  > 8 ( substitute x = 18 )

25 - 18 > 8

7 > 8 ← False statement

B

0.5x < 7 ( substitute x = 18 )

0.5 × 18 < 7

9 < 7 ← False statement

C

[tex]\frac{x}{6}[/tex] > 2 ( substitute x = 18 )

[tex]\frac{18}{6}[/tex] > 2

3 > 2 ← True statement

D

[tex]\frac{x}{4}[/tex] < 3 ( substitute x = 18 )

[tex]\frac{18}{4}[/tex] < 3

4.5 < 3 ← False statement

The only inequality which is true is C

The inequality x/6 >2 is true for the solution x equals to 18. Therefore, the correct answer is option C.

Given that, x=18.

A) 25-x>8

Substitute x=18 in the given inequality, we get

25-18>8

7>8

Which is not true.

B) 0.5x<7

Substitute x=18 in the given inequality, we get

0.5×18<7

9<7

Which is not true.

C) x/6 >2

Substitute x=18 in the given inequality, we get

18/6 >2

3>2

Which is true.

D) x/4 <3

Substitute x=18 in the given inequality, we get

18/4 <3

4.5<3

Which is not true.

Therefore, the correct answer is option C.

To learn more about the inequalities visit:

https://brainly.com/question/20383699.

#SPJ4

MANY POINTS IF YOU CAN HELP!!!!

Answers

Answer: wait what, umm, why did math change so much, is it like linear relationships

Step-by-step explanation:

What is the yyy-intercept of y=5y=5y, equals, 5? choose 1 answer: choose 1 answer: (choice a) a (5,0)(5,0)left parenthesis, 5, comma, 0, right parenthesis (choice b) b (0,5)(0,5)left parenthesis, 0, comma, 5, right parenthesis (choice c) c (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis (choice d) d (5,5)(5,5)left parenthesis, 5, comma, 5, right parenthesis.

Answers

Answer:

0,5

Step-by-step explanation:

I did it and it was correct

What figure is a rotation of figure E?

Answers

F I think sorry if wrong

Answer: FIGURE F ! LOOK AT IMAGE OF EXPLANATION

Ab=16cm
then find the value of OA
answer fast pls

Answers

Hope you could understand.

If you have any query, feel free to ask.

Find the exact value of the trigonometric function.
sine (StartFraction pi Over 6 EndFraction) =

Answers

Answer:

Value is    1/2  or  0.5

Step-by-step explanation:

 Sin (π/6)= Sin30

And sin 30 = 0.5

Answer:

1/2

Step-by-step explanation:

did it on edge

Solve the equation for y. Then find the value of y for each value
2x - 7y= 19; x = -2, 0,2
Help fast pleaswy

Answers

Answer: It is a little hard to read Sorry

Step-by-step explanation:

y

=

19

7

+

2

x

7

Please help me and fast

Answers

Answer:

its A

Step-by-step explanation:


Explain how to write an algebraic expression that represents the situation.

The strawberries were split evenly into four bags.

Answers

Answer

Imagine X as the amount of strawberries. If we wanted to put an even amount into 4 bags, we would have to divide the strawberries by 4. The equation would look like X divided by 4.

Answer:

Imagine X as the amount of strawberries. If we wanted to put an even amount into 4 bags, we would have to divide the strawberries by 4. The equation would look like X divided by 4.

Step-by-step explanation:

Write down two equivalent ratios for each of the following:
2.1 750 : 30
2.2 540 cm : 480 cm
2.3 R3,60 : R2,40 ​

Answers

[tex]\\ \sf\longmapsto \dfrac{750}{30}=\dfrac{250}{1}=250:1[/tex]

#2

[tex]\\ \sf\longmapsto \dfrac{540}{480}=\dfrac{9}{8}=9:8[/tex]

#3

[tex]\\ \sf\longmapsto \dfrac{60}{40}=\dfrac{2}{3}\implies R1:R2::3:2[/tex]

Equivalent ratios are ratios of equal unit rates

The equivalent ratios are:

1500 : 60, 1080 cm : 960 cm and R7,20 : R4,80 ​2250 : 90, 1620 cm : 1440 cm and R10,80 : R7,20 ​

We have:

750 : 30, 540 cm : 480 cm and R3,60 : R2,40 ​

Multiply the ratios by 2

1500 : 60, 1080 cm : 960 cm and R7,20 : R4,80 ​

Multiply the ratios by 2

2250 : 90, 1620 cm : 1440 cm and R10,80 : R7,20 ​

Hence, the equivalent ratios are:

1500 : 60, 1080 cm : 960 cm and R7,20 : R4,80 ​

2250 : 90, 1620 cm : 1440 cm and R10,80 : R7,20 ​

Read more about equivalent ratios at:

https://brainly.com/question/2914376

A real estate agent received 1.5% commission for a house that sold for $250,000. How much was the agent's commission?

a. $3,750
b. $375
c. $37,500
d. $125,000

Answers

Answer:

The answer is B.

Step-by-step explanation:

The answer would be B because dividing 250,000 would get you 25,000 which would be 10% of the total cost. Dividing by 10 again would get you 2500 which would be 1% of the total cost. Divide 2500 by 2 and you'll get 1250. 1250 + 2500 would be 1.5% of the total cost.

Looking at the means of these samples, which value is most likely to be the mean of the population from which the samples were taken? Sample Number Sample Mean 1 11. 8 2 12. 5 3 15. 1 4 14. 3 5 13. 2000 6 12. 9 10. 2 11. 5 12. 9 15. 4.

Answers

The most likely mean of the population from which the samples were taken is 12.96.

What is mean value?

The mean is the average or the most common value in a collection of numbers.

We are given the below data:

Sample Number              Sample Mean

1                                                 11.8

2                                                 12.5

3                                                 15.1

4                                                 14.3

5                                                 13.0  

6                                                 12.9

7                                                 10.2  

8                                                 11.5

9                                                 12.9

10                                                15.4

Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:

[tex]\rm Mean = \dfrac{11.8+12.5+15.1+14.3+13.2000+12.9+10.2+11.5+12.9+15.4}{10}\\\\ Mean =12.96[/tex]

Therefore, the most likely mean of the population from which the samples were taken is 12.96.

To know more about Mean click the link given below.

https://brainly.com/question/12513463

Comparing SAT and ACT: Suppose that the distribution of scores on the SAT exam is approx. normal with a mean of 1000 and a standard deviation of 160, while the distribution of scores on the ACT exam is approx. normal with a mean of 21 and a standard deviation of 5. Approx 95% of ACT scores fall between two values. What is the value of the lower value

Answers

Answer:

11

Step-by-step explanation:

According to the empirical rule, 95% of data in a normal distribution will be between 2 standard deviations below the mean and 2 standard deviations above the mean.

Therefore, 2 standard deviations above the mean would be 21+2(5)=21+10=31 and 2 standard deviations below the mean would be 21-2(5)=21-10=11.

Thus, the lower value is 11

The means and mean absolute deviations of the individual times of members of two relay swim teams are shown in the table below. Means and Mean Absolute Deviations of Individual Times of Members of 4 times 200 meter Relay Swim Teams Team A Team B Mean 127. 9 s 127. 4 s Mean Absolute Deviation 0. 26 s 0. 23 s The difference of the means is found and then compared to each of the mean absolute deviations. Which is true? The difference between the mean times is about equal to the mean absolute deviation of the data sets. The difference between the mean times is about 2 times the mean absolute deviation of the data sets. The difference between the mean times is about 5 times the mean absolute deviation of the data sets. The difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Answers

B should be be your answer

A school is buying movie tickets for an excursion.

The school buys a total of 32 tickets. The cost of an adult ticket, a,

is $12.50 and the cost of a student ticket, s, is $8.50. The total

cost of the tickets is $288. Which equations could be used to

find the number of each type of ticket purchased?

Answers

Answer:

See below.

Step-by-step explanation:

Two types of tickets are adult(a) and student(s).  Let a and s stand for the numbers of tickets bought for each.

We know that a + s = 32  {The school buys a total of 32 tickets.}

The total cost is $288, made up of:

 a*($12.50) and s*($8.50)

Thus, we can write:

a*($12.50) + s*($8.50) = $288

The two equations:

a + s = 32

a*($12.50) + s*($8.50) = $288

are all we need to calculate the numbers of a and s tickets.

===

a = 32-s

a*(12.50) + s*(8.50) = 288

(32-s)*(12.50) + s*(8.50) = 288

400 - 4s = 288

-4s = -112

s = 28 tickets

---

a + s = 32

a + 28 = 32

a = 4 tickets

==

Check:

   tickets  Price   Total

a      4       $12.5    $50

2     28      $8.5   $238

                            $288

Gannon has swim practice 4 days a week. practices are the same length each day except Monday when practice is 2 hours long. if he practices a total 5 hours how long is practice on each of the other 3 days​

Answers

Answer:

The solution is x = 2.

Step-by-step explanation:

Which of the equations below could be the equation of this parabola?​

Answers

Answer:

B)

Step-by-step explanation:

options B and C are the only equations that create a 'sideways' parabola

only option B would open to the right because the coefficient of the y-term is positive

im so confused pls help

Answers

Answer:

  (d)  f(x) = log₆(x)

Step-by-step explanation:

If we use y in place of f(x), we see that ...

  x = 6^y

Taking logs of both sides, we get ...

  log(x) = y·log(6)

  y = log(x)/log(6)

  y = log₆(x) . . . . . . . using the change of base formula

  f(x) = log₆(x)

_____

Or you can get there more directly using the relation between logs and exponentials:

  [tex]\displaystyle a = b^c\ \leftrightarrow\ c=\log_b(a)[/tex]

Is -3(x+2)=-6-3x no solution ,infinite soultion ,one solution?

Answers

Answer: There are infinite solutions.

Step-by-step explanation:

-3(x+2) = -6-3x

-3x-6 = -6-3x

-6=-6

INFINITE SOLUTIONS

The time,
T
(seconds) it takes for a pot of water to boil is inversely proportional to the cooker setting,
H
, applied to the pot.
When
H
=
4
,
T
=
700
.
Work out
T
when
H
=
14

Answers

Answer:

It is 200

Step-by-step explanation:

T : H

700 : 4

x : 14

x/700 = 4/14

x = 4/14 ×700

x = 200

I'm not sure of the final answer cause I can't find my scientific calculator so I used my phone calculator so make sure it is correct

What are the midline, amplitude, and period of the graphed sine function?
The midline of the function is at y= ________.
The amplitude of the function is __________.
The period of the function is _________ pi.

Answers

The midline, amplitude and period respectively of the given sine graph are; x = 1; 2; π

Midline, Amplitude and Period

The midline of this trigonometric graph is defined as the horizontal line that divides the maximum and minimum point distance into two equal parts. In this case, the midline is x = 1

The amplitude of a graphed function is usually the peak of the wave of that graph. In this case, we see that the peak of the graph is at y = 4. Thus, Amplitude = 4

Period is the difference between two consecutive maximum or minimum points. In this graph, the period is π

Read more about Midline, Amplitude and Period at; https://brainly.com/question/21124447

Answer:

Midline: y = 1

Amplitude = 3

Period = 1[tex]\pi[/tex]

Step-by-step explanation:

Edmentum

What the answer to x,y, and z

Answers

You can think of x && y || z as equivalent to: int func (int x, int y, int z) { if (x) { if (y) { return true; } } if (z) { return true; } return false; } Since both x and y are fixed to be non-zero values the first return statement is always hit. thats what i think

Find it yourself df

What is this expression in simplest form

Answers

Answer:

Option 3

Step-by-step explanation:[tex]\frac{x+2}{x^{2+2} }[/tex]

A parcel weighs two thousand three hundred and forty grams. An item weighing seven hundred grams is removed from the parcel. What is the new weight of the parcel?

Answers

This is fairly simple, you just have to know how to set up an equation like this. It says that the package weighs 2340 grams. The item removed weights 700 grams. You just have to subtract these values to get the new weight of the package. 2340-700=1640

What is the volume of the figure?
11m 7m and. 4m

Answers

Answer:

308?

Step-by-step explanation:

Plz help… I need this done fast.

Answers

4(x + 3) = 8
4 · x + 4 · 3 = 8
4x + 12 = 8
4x = 8 - 12
4x = -4 / : 4
x = -1 ← the end answer

At the local humane society, there are 24 cats, 8 bunnies, and 40 dogs. For every bunny, how many dogs are there?

Answers

Answer:

5

Step-by-step explanation:

5*8=40

yeah-ya..... right?

Answer:

5 dogs per bunny

Step-by-step explanation:

40 / 8 will do the trick.

1/2 is the same number as

Answers

Answer:

.5

Step-by-step explanation:

1 Divided by 2 is .5 or 1/2

Answer:

2/4

3/6

4/8

5/10

6/12

all are equivalent to 1/2

.5 too lol

3y - 4 is less then 31 (HELP ME, WILL GIVE BRAINLIST IF EXPLAINED THIS IS INEQUALITIES GRAPH.)

Answers

Answer:

1-11

Step-by-step explanation:

formula: 3y-4

1. 3x1=3-4=-1    2. 3x2=6-4=2   3. 3x3=9-4=5   4. 3x4=12-4=8   5. 3x5=15-4=11

6. 3x6=18-4=14    7. 3x7=21-4=17    8. 3x8=24-4=20    9. 3x9=27-4=23

10. 3x10=30-4=26      11. 3x11=33-4=29

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