Ajar contains 35 dimes and nickels. The total value of the coins is $2.50. If
d = the number of dimes and n = the number of nickels, this is the system of
equations:
d+ n = 35
0.100+ 0.05n = 2.50
How many of each type of coin are there? Solve the system to answer the
question

Answers

Answer 1

Answer:

0.05x+0.10(35-x)=2.50

(0.05x+3.5-0.10x=2.50) get rid of devimal points by multiplying both sides by 100

5x+350-10x=2505x-10x +350-350=250-350(-5x= 100)divide both by -5-5x/-5= -100/-5x=20(the number of nickels)

The number of dime is35-x. and x=2035-20=15the number of dimes is = 15the number of nickels is = 2020nickels =$1.0015dimes =$1.50

check

the number of dimes + the number of nickels is $2.50d+n=$2.50. : d=$1.50 and n=$1.00$1.50 + 1.00 =$2.50


Related Questions

Can someone please help me with this

Answers

Answer:

56.57

Step-by-step explanation:

Okay, to find the area of a circle from circumference the formula is A = C^2/4pi

18 x 3.14 = 56.52
56.52^2 = 3194.5104
4 x 3.14 = 12.56

3194.5104/12.56 = 256.34

A = 256.34

Look at the image below

Answers

Answer:

(A) 33.9 (B) 22.6

Step-by-step explanation:

We first need to round to the nearest dollar for both prices. Lets examine both numbers.

$30.12       $19.93

We can round $30.12 to $30 since the number in the tenths place is 1 and we can round $19.93 to $20 since there is a nine in the tenths place.

Now we must find the tax for each number. We can do that by multiplying each number by 0.13 since that is 13% in decimal form. Lets do that now

[tex]30*0.13=3.9[/tex]           [tex]20*0.13=2.6[/tex]

Now we can find the final price for each number by adding the tax to the rounded price.

[tex]30+3.9=33.9[/tex]          [tex]20+2.6=22.6[/tex]

Hence, (A) 33.9, (B) 22.6

Susan did a puzzle in 5 minutes and 55 seconds. Jamal did the same puzzle in 11 minutes and 42 seconds. Susan says, ‘I did the puzzle in less than half the time Jamal did the puzzle. Is Susan right?

Answers

Answer:

No, Susan is not right.

Step-by-step explanation:

Susan's time = 5:55

Jamal's time = 11:42

Half of Jamals time = 5:51

5:55<5:51

Susan is not right

Susan did a puzzle in 5 minutes and 55 seconds.
Jamal did the same puzzle in 11 minutes and
42 seconds.
Susan says, "I did the puzzle in less than half the
time Jamal
did the puzzle.
Is Susan right?


This is not true

The following question has 2 parts. First, answer part A. Then, answer part B.

Use the image below to answer the questions.



A grid with 10 equal columns is shown with 5 shaded in. A second grid is shown, identical in size, containing 100 squares with 3 shaded in.

Part A
Write a problem that represents the addition model shown above. Don't solve the problem.




Part B
Emma incorrectly gave the sum as
8
100
. Explain what Emma did incorrectly and use the model to correct her work. Solve the problem in your answer.

Answers

The fraction that represents the addition model shown above will be 53/100.

How to solve the fraction?

From the information given, a grid with 10 equal columns is shown with 5 shaded in. This will be expressed as 5/10.

Also, a second grid is shown, identical in size, containing 100 squares with 3 shaded in. This will be expressed as 3/100.

Therefore, the problem that represents the addition model shown above will be:

= 5/10 + 3/100

= 50/100 + 3/100

= 53/100

In this case, the answer given by Emma is incorrect as he added 5 to 3 and got 8/100.

Learn more about fractions on:

https://brainly.com/question/78672

I really need the answer. Thanks to who'll help me. ​

Answers

Answer:

125 and 0.292

Step-by-step explanation:

Think about it as a system of equations:

1)

[tex]a+b=125 +1/3\\a=125.33-b\\\\2) ab=36+1/2\\[/tex]

at this point you can insert the equation you got from 1.

[tex](125.33-b)b=36.5\\125.33b-b^2=36.5\\b^2-125.33b+36.5=0[/tex]

with this form, you can use the quadratic equation to find your two possible answers.

following the quadratic equation we find that our answers are 125 and 0.292

Draw lines to separate the trapezoid into a rectangle and two identical triangles. What are their dimensions?​

Answers

Answer:

Step-by-step explanation:

expression is equivalent to 6–3?

Answers

your answer is 3 for this one


You pay $900 rent per month your first year. Each year after your rent increases by
10%. After 10 years living in the apartment, what is the total amount of rent you will
have paid?

Answers

Answer:

$1,800

Step-by-step explanation:

($900)(0.1)(10) = $900

$900 + $900 = $1,800

A rectangular prism has a length of 10 in., a width of 2 in., and a height of 3 1/2 in.
The prism is filled with cubes that have edge lengths of 1/2 in.
How many cubes are needed to fill the rectangular prism?
Enter your answer in the box.
To fill the rectangular prism,
cubes are needed.

Answers

Answer:

Given,

Dimensions of rectangular prism

Length= 10in

Breadth=2in

height= 3(1/2) or 7/2

Dimension of cube = 1/2in

Let the number of cubes be x

A.T.Q(According to question)

Vol. of rectangular prism= Vol. of Square× Number of cubes

l×b×h = a³

= > 10×2×7/2 = (1/2)³× x

x = 560

So the number of cubes required to fill the prism is. 560

Please help me, the question is in the screenshot. GIVING 50 POINTS!! and brainliest<3

Answers

Solution:

Note that:

Volume of spherical asteroid = 4πr³/3

Finding the volume:

Volume of spherical asteroid = V = 4πr³/3=> V = 4 x π x (8.5 x 10²)³/3=> V = 4 x π x (8.5 x 10²)(8.5 x 10²)(8.5 x 10²)/3=> V = 4 x 3.14 x 8.5 x 10² x 8.5 x 10² x 8.5 x 10²/3=> V = 7713.41 x 10⁶/3=> V ≈ 2571.14 x 10⁶

Converting into scientific notation:

=> V ≈ 2571.14 x 10⁶=> V ≈ 2.57114 x 10⁹ ≈ 2.57 x 10⁹ (Option A)

Simplify (8^2/3)^4.


I have to type this to post it

Answers

Answer:

256

Step-by-step explanation:

(a^n)^m = a^nm

=(8^⅔)⁴ =8^⅔×⁴

=2³×⅔×⁴ (8 = 2³)

=2^8 =256

Please mark my answer the brainliest

Answer:

Step-by-step explanation:

8 = 2*2*2 = 2³

[tex]\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}[/tex]

Area of a triangle 11.7 m
11.7 m
19.2 m
12.3 m 2

Answers

Answer:

Step-by-step explanation:

Unit of area is m^2, so last choice

James is making a presentation about how to pick the right kind of pet. Which image would BEST Support
A) a picture of common house pets
B) a picture of common pet supplies
a chart displaying the amount of care pets require
D) a chart displaying which pets are the most popular

Answers

Answer:

C. A chart displaying the amount of care pets require.

Step-by-step explanation:

(A). A picture of common house pets.

This wouldn't be effective since everyone knows what most common house pets look like.

(B). A picture of common pet supplies.

This wouldn't be effective since pet supplies vary with every animal.

(C). A chart displaying the amount of care pets require.

This would be the best choice since the image would show the required necessities for each different pet.

(D). A chart displaying which pets are the most popular.

This wouldn't be effective since popularity is mostly based on preference.

How would you describe the amount of money earned over six weekends?


decreasing
can't be determined
staying the same
increasing

Answers

Answer:

Cant

Step-by-step explanation:

There are 8 red marbles and 9 blue marbles in a bag. What is the ratio of blue marbles to red marbles?

Answers

Answer:

8:9

Step-by-step explanation:

when it comes to ratios and it asks you what the ratio is and theirs no division, adding, multiplication, subtraction, or anything like then you just take the first number and the second number then put this : between the two numbers and that's it

Average movie prices in the United States are, in general, lower than in other countries. It would cost
$79.45 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two
tickets in Japan would cost $76.10. How much does an average movie ticket cost in each of these
countries?

Answers

The average price of ticket in Japan is $17.29 and the average price of ticket in Switzerland is $13.8 Let me know if you want the step by step calculation I will reply with it under the comment

If you spin the spinner 100 times how many times can you expect it to land in yellow?

Answers

Answer:

depends on how many other colours are there as well let's say there are N no. of colours then the probability is 100/N


30points! need help asap

Answers

Answer:

b

Step-by-step explanation:

What is the expression in radical form ?

(4x3y2)3/10

Answers

Answer:

[tex]\frac{y^2x^3*12}{10}[/tex]

Step-by-step explanation:

For the pair of similar triangles, find the value of x.

Answers

Find the scale between sides xz and gh

18/4 = 4.5

Multiply the length of fh by the scale to find x


6 x 4.5 = 27


x = 27

Find the value of x?

Answers

Answer:

X = 20

Step-by-step explanation:

If the 100 is on the right side, and they are the same length, that means that  you have to find 5 x what = 100. So 5 x 20 = 100

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What is the volume of the rectangular prism?

a rectangular prism with a length of eight inches, a width of four inches, and a height of three inches.

PLEASE ASAP ROCKY PLEASE

Answers

Answer:

96 cubic inches

Step-by-step explanation:

8x3=24=area x4 = 96 = volume

Answer:

the answer should be 96 inches, hope this helps

Step-by-step explanation:

Which statement describes the graph of X = 4?

A) It is paralel to the x-axis.
B) It has a slope of 4.
C) It is parallel to the y-axis.
D) It passes through the point (0,4).​

Answers

Answer:

the answer is D

Step-by-step explanation:

Because the point of x=4 is passed through the point (0,4).

What is an equation of the line that passes through the point (-4, 5) and is perpendicular to the line 4x + y = 7?

Answers

Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

Maria's wages are $2400 plus 3.5% commission on monthly sales. A. Write a function expressing the relationship between Maria's wages, w , and her monthly sALes x

Answers

Answer: x(0.035)+w

Step-by-step explanation:

to find out the percent she gets from sales you multiply that by the percent she earns then add it to the 2400 which she already makes

Can someone help me

Answers

Answer:

Q1/6.5

Q2/ 12.5

.....

.....

.....

......

......

.....

.

.....

.

Step-by-step explanation:

per minute means ÷ mins (on the denominator)

An airplane descends 2.3 miles to an elevation of 7.05 miles. Find the elevation of the plane before its
descent.

Answers

Answer:

Hope it help

Step-by-step explanation:

.......................................

Evaluate. f(x )=17−5x at x =a −3,

Answers

Answer:

x=17/5

i hope this helps

GIVING BRAINLIEST!!!!

Answers

Answer:

Zack is correct with the -4.5

Step-by-step explanation:

When multiplying by .5 just cut the number in half so 4.6 becomes 2.3 and since the .5 was negative the 2.3 becomes a negative so -2.3 -2.2=-4.5

Hope this helped.

A brainliest is always appreciated.

Find the lengths of AC. Round your answer to the nearest whole number. C a 22.69 B 13 cm A​

Answers

The triangle ABC is a right triangle

The length of AC is 12.00 cm

How to determine the length of AC

From the figure, we have the following parameters:

Length AB = 13 cm

Angle A = 22.6 degrees

Represent the length AC with b.

So, we have the following cosine ratio

[tex]\cos(A) = \frac{b}{AB}[/tex]

Substitute known values

[tex]\cos(22.6) = \frac{b}{13}[/tex]

Make b the subject

[tex]b = 13 * \cos(22.6)[/tex]

Evaluate the product

[tex]b = 12.00[/tex]

Hence, the length of AC is 12.00 cm

Read more about right triangles at:

https://brainly.com/question/16249977

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