Mathematics High School

A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nickels and how many dimes are in the jar? ​

Answers

Answer 1

Answer:

73 dimes and 133 nickels

Step-by-step explanation:

$13.95 = 1395 cents

5n + 10d = 1395     (since each nickel is 5 cents and each dime is 10 cents)

5n = 1395 - 10d      (subtract 10d from both sides to solve for n)

n = 279 - 2d

n + d = 206

279 - 2d + d = 206   (substitute n with the previous expression)

279 - d = 206         (add variable d and -2d)

-d = -73        (solve for d and divide both sides by negative 1)

d = 73          

n + 73 = 206 (solve for n and subtract both sides by 73)  

n = 133

Related Questions

The table below shows all of the possible outcomes for rolling two six-sided number cubes. 1 2 First Number Cube Second Number Cube 1 2 3 4 5 6 1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6 4 5 What is the probability of rolling an even number first and an odd number second?
Answer choices:
A. 1/9,
B. 1/6
C. 1/4
D.1/2​

Answers

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

The original cost of a pair of shoes is 850dhs. The store offers a markup of 30%. Find the retail price of pair of shoes.

Answers

Answer:

Step-by-step explanation:

Walter lived 2 years longer than his brother Martin. Walter was 79 at the time of his death. Which equation could be used to find Martin's age, a, at the
time of his death?
O a + 2 = 79
O 79 + 2 = a
O 79 + a = 2
O a- 79 = 2

Answers

79+2=a is the correct answer

What is the slope of the line?

Answers

Answer:

1

Step-by-step explanation:

slope=rise/run

rise is up or down

run is right or left

9/9=1 or -9/-9=1

so the answer is 1

nat is flying a kit outside but gets a little hungry. they anchor the kite to the ground by tying a string to a post and notice that 200 yards of the string have been let out. the kite string makes an angle of 57 degrees with the ground. while nat eats a snack, they look at the kite and wonder how high it is off the ground.

Answers

Answer:

Check pdf

Step-by-step explanation:

In a shipment of 400 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1200?

Answers

1200 parts/ 400 parts = 3

12 parts x 3 = 36 parts

In 1200 parts, 36 would be bad.

A car travles at a speed of 44mph for 15 minutes. Calculate how far it travles.

Answers

Answer:

11 miles

Step-by-step explanation:

Answer:

11 m

Step-by-step explanation:

Speed = 44 mph

Time = 15 minutes = 15/60 = 1/4 hour

Distance = Speed * time

              = 44 * [tex]\frac{1}{4}[/tex]

             = 11 m

Write a number with one decimal place, that is bigger than 5 1/3
but smaller than 5.5​

Answers

Answer:

5.4......................

Answer:

5.4

Just say i did the question on MathsWatch

Tony took out a loan for 7000 that has a intrest rate of 7.5% compounded annually after 15 years how much will the total loan amount be After 15 years how much will tony pay in intrest

Answers

Answer:

$7875

Step-by-step explanation:

Interest is calculated by the formula: I = Prt

I (interest)

P (principle)

r (rate)

t (time)

Substitute

I = (7000)(0.075)(15)

I = 7875

Thus, our interest is $7875

what does p equal?pls help me.

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the inequalities.

9p -9 <4p -2

===> 9p - 4p < -2 +9

===> 5p < 7

===> p < 7/5

hence the answer is P < 7/5

Pls help me with my homework I need help

Answers

Answer:

need points luvk

Step-by-step explanation:

45.57 degrees.
Do the arccos (cos^-1) * 0.7

Use the distributive property to write an equivalent expression. 7(g+2h)

Answers

Answer:

7g+14h

Step-by-step explanation:

Distributive property means you will be multiplying each component by the value you are distributing in this case (7)(g)+(7)(2h) which yields 7g+14h

Which function is represented in the graph shown?
A)
f(x) = x2 + 2x - 15
B)
f(x) = x2 - 8x + 15
0
RX) = -x2 + 2x + 15
D)
RX) -x? - 2x + 15
HELP ASAP

Answers

Answer:

wheres the graph? u can insert a image!

Step-by-step explanation:

1.5+4=2.3−1.2 in decimal form

Answers

Answer:

5.5=1.1

Step-by-step explanation:

hope this helps:)

Question 2 of 20 -
2020-2021 T-Mat
What is the area of the shape below?
6 yd
4 yd
5 yd
9 yd

Answers

Bbbbbbbbbbbbbbbbbbbbbbbbbbvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvc

which of the following functions is graphed below?​

Answers

You need to show the rest of the functions

I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail

Answers

Answer:

yes I can try to help you what I can

Algebraic Expressions Word Problems -
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.

2x = 42 + 14 (Lesson 9)

= 56.

x = 56
2

= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3

x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12

= 72.

x = 72
2

= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1

= 36.

x = 36
2

= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.

5x = 55 − 30 = 25.

x = 5.
That's the smaller number. The larger number is 10 more: 15.

what is an answer to the following equation?
5z=60

1. z=65
2. z=55
3. z=300
4. z=12

Answers

Answer:

z=12

Step-by-step explanation:

5z=60

divide both sides by 5

z=60/5

z=12

Answer:

5z/5=60/5

4

12

answer to the question is 12

solve this problem please
​

Answers

Answer:

Check pdf

Step-by-step explanation:

Find y. Give your answer in
the simplest form.

y =

Enter the number that belongs in the green box.

Answers

Answer:

y = 8 root 2

Step-by-step explanation:

Since it is a 90-45-45 triangle, y is s root 2

s = 8

so, y = 8 root 2

Answer:

y=8√2

Step-by-step explanation:

Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.

please help im struggling and it’s due in 30 minutes

Answers

i know this is not an answer but if your having trouble with this there is a website called Desmos all you do is type in the equation for the graph and it gives you the answer

A car travels 60 km in 40 minutes.

Answers

Answer:

what is the question?? nebebaiajbw

4. Find the value of x.
A) 6 √ 2
B) 12 √ 3
C) 24 √ 3
D) 12

Answers

a^2+b^2=c^2
24^2=12^2+x^2
sqrt(576-144)=x
sqrt(432)=x
12sqrt(3)=x
the answer is c
24\3...........................

does anyone know how to solve this? pls leave instructions

Answers

Answer:

7.5

Step-by-step explanation:

Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

Step-by-step explanation:

Abcd

9) When you convert units, the unit in the
numerator of the first fraction needs to go
into the of the second fraction,
(A) denominator B) numerator

Answers

the answer is (a) denominator

I have to find the area of this rectangular prism pls help!!

Answers

Answer:

the surface area is 208

Step-by-step explanation:

formula for surface area is A = 2 (w*l + h*l + h*w )

A = 2 ( 4*8 + 6*8 + 6*4 )

A = 2 ( 32 + 48 + 24 )

A = 2 ( 104 )

A = 208

A new car is purchased for 23700 dollars. The value of the car depreciates at 13% per
year. To the nearest year, how long will it be until the value of the car is 8000 dollars?

Answers

Answer:

the car will be closest to 8000 in year 8. the car would be worth 7778.

Answer:

Year 5

Step-by-step explanation:

If the value decreases by 13% each year that is $3,081 each year (0.13x23,700=3,081)

Year 1: 23700-3081=20619

Year 2: 20619-3081=17538

Year 3: 17538-3081=14457

Year 4: 14457-3081=11376

Year 5: 11376-3081=8295

Year 6: 8295-3081=5214

So, the year would be year 5 and the value of the car would be $8,295

COLOR THEME Q ZOOM 1. The ratio of boys to girls at a dance was 9 to 5. How many girls were at the dance if there were 72 boys at the dance? 45 girls 90 girls 40 girls 108 girls​

Answers

Answer:

72 boys=72:40

45 girls=81:45

90 girls=162:90

40 girls=72:40

etc.

Step-by-step explanation:

think of it as fractions

hi hi hi hi it’s b right?

Answers

Answer:B

Step-by-step explanation: yes b as the x is always 50x greater than the Y

Answer: yes it’s B. My dear!

Step-by-step explanation: hope this helps :)

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