A jar is full of 100 coins. All of the coins are either nickels or dimes.
a. The value of the coins is $6.35. Write a linear system representing this equation.
b. Solve the system to determine how many of each type of coin is in the jar.

Answers

Answer 1

Answer:

73 nickels, 27 dimes

Step-by-step explanation:

x+y=100

5x+10y=635

x=100-y

5(100-y)+10y=635

500-5y+10y=635

500+5y=635

5y=135

y=27

5x+10(27)=635

5x+270=635

5x=365

73

73+27=100


Related Questions

3147 divided by 5 with quotient and remainder?

Answers

Answer:

629r2

Step-by-step explanation:

Hope this helped!

In what real-world scenario do we use systems of equations?

1.What twenty-first century task does this tool help us manage? Explain how your tool is used for this task.

2. In what field or career would your tool be useful for and how? Please explain.

Answers

The systems of equations are known to be complex. We often use systems of equations in real-world scenario such as when calculating or thinking if one will make more money at one job than the other, here we look into variables such as wages, benefits and commissions, etc.

What twenty first century tasks systems of equations handles?

They  are used to calculate the amount of tax that is charge to people. They also help man to measure and understand the real- world situations and happenings.

The field or career that Equations are known to be widely used are the engineering profession. Chemical engineers, civil engineers, electrical engineers, etc. often uses it in construction of building, lighting a place, etc.

The Systems of equations are often applied in the real world by economists and entrepreneurs to known the time of equality of supply and demand.

Learn more about systems of equations from

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In each of the following, solve for X.

Answers

Answer:

x = 6

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MO}{PR}[/tex] = [tex]\frac{MN}{PQ}[/tex] ( substitute values )

[tex]\frac{4+x}{5}[/tex] = [tex]\frac{x-2}{2}[/tex] ( cross- multiply )

5(x - 2) = 2(4 + x) ← distribute parenthesis on both sides

5x - 10 = 8 + 2x ( subtract 2x from both sides )

3x - 10 = 8 ( add 10 to both sides )

3x = 18 ( divide both sides by 3 )

x = 6

At Skyler airport 30% of the scheduled flights are delayed if 240 flights are delayed how many scheduled flights does Skyler airport have

Answers

We can use proportions for this. We have the fraction 240/x = 30/100. We need to find x. We can do that by cross multiplying. 240*100 is 24,000 and x*30 is 30x. We now need to divide 30 from 30x and 24,000. This gives us 800. Therefore, Skyler has 800 scheduled flights.

QUESTION 1: TRANSPORT Mr Dlamini transport people between Butterworth and East London using a bus which has a capacity of 100 people. The transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre. On a particular day the bus was full with passengers from Butterworth. In each and every kilometre there was a passenger getting off while no new passenger entered in the bus. Mr Dlamini was calculating total money in his hand after each passenger was getting out. The total amount he has after each stop can be written as a series as follows: S. = 8 + 10 + 12 + 14 +... Use the series to calculate the following questions 1.1 (1) Term 2 (T2) = Sum of first two terms (S2) (2) (ii) Express T2 in terms of S, and S2. (1)​

Answers

From the series, it can be deduced that the sum of the first two terms will be 18.

How to calculate the series

From the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.

The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:

= 8 + 10

= 18

Expressing T2 in terms of S, and S2 will be T2 = S + S2.

Learn more about arithmetic series on:

https://brainly.com/question/24295771

find the nearest degree

Answers

Answer:

Nearest angle is 30°.

Step-by-step explanation:

There are 3 angles:

90° and 60°.

There is 1 missing angle:

Subtract 180°:

180 - 60 = 120 - 90 = 30.

Missing angle found!

Missing angle:

30°

Estimate 1 3/4+4 7/8 to the nearest whole number.

Answers

I would say 6. I hope this helps

if 14 songs were 9.38 dollars how much would one be

Answers

Answer:

each song would be 67 cents (0.67)

Step-by-step explanation:

9.38/14=0.67

Find the common ratio r for the given geometric sequence and find the next three terms.

Answers

Answer:

The common ratio is -2

Next three terms are 18, -36, and 72

Step-by-step explanation:

The common ratio is -2 since each consecutive term is being multiplied by -2

The next three terms are -9(-2) = 18, 18(-2) = -36, and -36(-2) = 72

Answer:

A -0.5

B 4.5, -2.25, 1.125

Step-by-step explanation:

A: 72× -0.5= -36

-36× -0.5= 18

18× -0.5= -9

B multiple everything by -0.5

You select a marble without looking and then put it back. If you do this 36 times, what is the best prediction possible for the number of times you will pick a blue marble?

Answers

Answer:

12 times

Step-by-step explanation:

There are 3 blue marbles and 9 marbles total. The probability of selecting a blue marble is 3/9, reduced it is 1/3.

Multiply the probability by 36

[tex]\frac{1}{3}[/tex] × [tex]\frac{36}{1}[/tex]

[tex]\frac{36}{3}[/tex]

12

I need to know the answer and quick please.

Answers

irrational number: cannot be expressed as a simple fraction

a. [tex]\tt 2-\sqrt{3}:irrational[/tex]

b. [tex]\tt \sqrt{2}\times \sqrt{3}=\sqrt{6}:irrational[/tex]

c. [tex]\tt \sqrt{27}\times \sqrt{3}=\sqrt{81}=9:rational[/tex]

d. [tex]\tt =0\sqrt{7}=0:rational[/tex]

helpppppooooooppooopp

Answers

i believe the answer is 13

Answer:

13 units

Step-by-step explanation:

-25, -12

|-25| - |-12|

13 units

Hope it helps! :)

A wire 90 cm long is cut into two pieces. One
piece is twice as long as the other piece. How
long is the shorter piece of wire?

Answers

Answer:

30 cm

Step-by-step explanation:

30+60=90

30×2=60 so 30cm is the answer.

Step-by-step explanation:

If one price is 2 times the other one, that means it's equal to 2 of those parts. Let's decide our total wire by three to account for the larger part.

[tex]90 \div 3 = 30[/tex]

Now we know the shorter piece is 30 cm. To find the longer piece, multiply the shorter piece by 2.

[tex]30 \times 2 = 60[/tex]

Recap:

Shorter Piece: 30 cm

Longer Piece: 60 cm

That's all there is to it! hope this helps.

The first year a baseball team debuted, one ticket cost 25$ After that, the price increased 2$ every year Write a linear equation in slope-intercept form that can be used to model the cost y of a ticket x years after the first year.

Answers

Answer:

Equation: y = 2x + 25

Step-by-step explanation:

Here x determines the number of year. For the first year,we will see ( 2 * 1 ) = $2 increase. In the second year, ( 2 * 2 ) =$4 increase and like this goes on, whereas the $25 being constant. "y" determines the total cost for each year.

Therefore the equation can be made: y = 2x + 25

Priliminary price=25$ ,This is fixed Increasing price every year=2$=slope(m)b=25

Equation in slope intercept form

y=mx+by=2x+25

please help!!! :( i will give brainliest answer

Answers

Answer:

D

Step-by-step explanation:

a triangles angles have to add up to 180 degrees

p.s.I hope this helps

what is the answer to this question: Tadeo volunteered at the library 6 times as many hours over the weekend as Dylan. Together, they volunteered a total of 14 hours. How many hours did each person volunteer over the weekend?

Answers

Answer:

Tadeo: 12 hoursDylan: 2 hours

Step-by-step explanation:

We can let d represent the number of hours that Dylan volunteered. Then Tadeo volunteered for 6d hours, and their total hours were ...

  d +6d = 14

  7d = 14 . . . . . . collect terms

  d = 2 . . . . . . . divide by the coefficient of d

  6d = 6(2) = 12

Tadeo volunteered 12 hours; Dylan volunteered 2 hours.

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS

Answers

Answer:

I believe it is 12 I can't remember fully but I know I've done this before

And if you can right now please give brainliest!

Answer:

6

Step-by-step explanation:

Once again I'm not going to explain in-depth as it is the same method as the other questions I explained!

Step 1:

16/8=2

Step 2:

12/2=6

Therefore the missing AC side should be 6 because the triangles use a factor of 2!

Find perimeter . Simplify your answer

Answers

Answer:

perimeter of triangle=sum of all three sides

Step-by-step explanation:

[tex]( {2y}^{2} - {2x}^{2} ) + ( {y}^{2} - {x}^{2} + 11 ) \\ + ( {5x}^{2} - {2y}^{2} - 12)[/tex]

[tex] {2y}^{2} + {y}^{2} - {2y}^{2} + {5x}^{2} - {x}^{2} - {2x}^{2} + 11 - 12[/tex]

Hope it helps you<3

[tex] {y}^{2} + {2x}^{2} - 1[/tex]

I need help with this

Answers

Answer:

the answer is 406 L times H times W

Answer:

406 Sorry if wrong!

Step-by-step explanation:

Volume=length x width x height

hello please help me need aanswer​

Answers

[tex]\bold{\huge{\blue{\underline{Solution}}}}[/tex]

In Figure 1 :-

In figure 1 , we have given everything we don't need to determine anything in figure 1

In Figure 2 :-

Here, we have to determine the measure of sides ,braces and angles with least number of known measures,

Let's start ,

From the figure, we can assume the beam forms as AD, BC, EF , GH and so on.

Therefore,

[tex]\sf{ ABCD , AEFD, AGHD.. so \:on similar\: to \:each \:other }[/tex]

So,

[tex]\sf{ Angle\:BAD = Angle\:EBC = Angle\:GEF}[/tex]

Or,

[tex]\sf{ Angle\: ADC = Angle\:BCF = Angle\: EFH }[/tex]

Now, By using similarity theorem we can determine their sizes, braces and angles that is,

[tex]\sf{\red{ AD/BC = AB/AE = CD/CF = BC/EF}}[/tex]

[tex]\bold{\huge{\blue{\underline{Answers :- }}}}[/tex]

Answer 1 :-

For answering the above questions we use knowledge and practices regarding the questions we can do the activity by making figures of unknown sides by assuming it in the form of x, y.so that we can find the known values.

Answer 2 :-

The best way of solving the above questions is that it is already given in the question that the beam is symmetrical so, here we can use similarity theorem.

Answer 3 :-

It necessary to learn about trapezoid and it's properties because if we don't know the properties and what is trapezoid then we will not be able to answer the given question.

Some properties of trapezoid

the base angles of isosceles triangle are equal Two sides are parallel

Answer 4 :-

Well, The answer is very easy that if we don't know anything regarding the trapezoid then we will not be able to any question based on it and if we have incomplete knowledge about it then we will able to solve it but we always got incorrect answers most probably.

help
There are 230 milliliters of water in a beaker. How many liters are in the beaker?
A. 0.023 L
B. 230 L
C. 2.3 L
D. 0.23 L

Answers

The answer to your question is D, 0.23 L

If you deposit $320 at a 10% interest rate and will not make any additional deposits or withdraws, how much will you have at the end of 4 years?

Answers

Answer:

$468.582

Step-by-step explanation:

Hope this helps! Please mark me as brainliest so I can level up :)

Solve for x. 7x−5<9 Graph the solution.

Answers

Answer:

An open circle on 2, with a line going to the left.

Step-by-step explanation:

7x − 5 < 9

   + 5  + 5

7x < 14

/7    /7

x < 2

This is an open circle on 2, with a line going to the left.

Hope that helps!

PLS HELP!! I WILL GIVE BRAINLIEST :)
Here is a number puzzle.
Fill in each blank with a number so that every row,
column, and diagonal adds up to the same total.

Answers

Answer:

See the attached table.

Step-by-step explanation:

Each row, column, and diagonal all add up to six.

[tex]\left[\begin{array}{cccc}9&-5&-4&6\\-2&4&3&1\\2&0&-1&-5\\-3&7&8&-6\end{array}\right][/tex]

Hope that helps!

Answer:

*

Step-by-step explanation:

9  -5  -4   6

-2   4   3    1

2   0  -1   5

-3    7   8  -6

Find the coordinates of B, C, and D given that AB=5 and BC = 10

Answers

Answer:

B = (3, -5)

D = (0, -1)

C = (3, 5)

Step-by-step explanation:

We want to find the coordinates of B, C, and D given that AB = 5 and BC = 10.

Because AB = 5 and BC = 10, we can find the slope of the line using the slope formula:
[tex]\displaystyle \begin{aligned} m & = \frac{\Delta y}{\Delta x} \\ \\ & = \frac{(10)}{(5)} \\ \\ & = 2 \end{aligned}[/tex]

Point A(-2,-5) is on the line. Hence, the equation of the line is:
[tex]\displaystyle \begin{aligned} y-y_1 &= m(x-x_1) \\ \\& = y-(-5) = 2(x-(-2)) \\ \\ y + 5 & = 2x+4 \\ \\ y & = 2x-1 \end{aligned}[/tex]

Because AB is 5, B is simply A shifted rightwards five units. Hence:

[tex]\displaystyle B = (-2+5, -5) = (3, -5)[/tex]

At Point D, x = 0. Hence:
[tex]\displaystyle y = 2(0) -1 = -1[/tex]

Thus, D is at (0, -1).

B and C are collinear. Hence, the x value of C is 3:

[tex]\displaystyle y = 3(2) - 1 = 5[/tex]

Therefore, C is at (3, 5).

Write an equation for the sentence below.

The sum of three times a number (x) and -23−23 is 2828.

Answers

Answer:

3x - 23 = 2828

Step-by-step explanation:

I'll assume the question is supposed to read "The sum of three times a number (x) and −23 is 2828."

"three times a number (x)" can be written as 3x

"sum of three times a number (x) and −23" means 3x - 23

"is 2828"  = 2828

Put them together:

3x - 23 = 2828

==================

Not part of the question

If you want to solve for x:

3x = 2805

x = 935

24 dogs to 56 cats


In the simplest form

Answers

Answer:

Simplify them to the lowest.

What's the GCF( Greatest Common Factor). It's 8. So divide both sides by 8.

24/8 = 3

56/8 = 7

so it's

3 dogs to 7 cats

Step-by-step explanation:

Answer:

3 dogs to 7 cats

Step-by-step explanation:

Find the Greatest Common Factor of the two numbers- if you don't know what that means, it means to find the biggest number that both numbers can be divided by. Basically, it's like simplifying a fraction.

:) Hope this helps!

I think im correct ? please help am i?

Answers

you are wrong, the correct answer is x^2 - 16

X^2-16 is the correct answer

Which is a factor of x2 – 9x 14? x – 9 x – 2 x 5 x 7.

Answers

Answer:

Step-by-step explanation:

The 2 factors of x^2 - 9x + 14 are (x - 7) and (x - 2) because -7 + -2 = -9 and -7 x -2 = 14.

The factors of the quadratic expression  x² – 9x +  14 is (x - 7)(x - 2) option (B) (x - 2) is correct.

What is a quadratic function?

Any function of the form [tex]\rm f(x) =ax^2+bx+c[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic function.

It is given that:

The quadratic expression is:

= x² – 9x +  14

Using factor method:

= x² – 7x - 2x +  14

= x(x - 7) - 2(x - 7)

= (x - 7)(x - 2)

The factors of the quadratic expression  x² – 9x +  14 is (x - 7)(x - 2)

Thus, the factors of the quadratic expression  x² – 9x +  14 is (x - 7)(x - 2) option (B) (x - 2) is correct.

Learn more about quadratic function here:

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if there are 280 6th graders and 200 7th graders then how many more seventh graders are involved in the yearbook

Answers

Using proportions, it is found that 8 more seventh graders are involved in the yearbook.

What is a proportion?

A proportion is a fraction of a total amount.

Researching the problem on the internet, it is found that 10% of the 6th graders and 18% of the 7th graders are on the yearbook, hence:

0.1 x 280 = 28 6th graders.

0.18 x 200 = 36 7th graders.

36 - 28 = 8

8 more seventh graders are involved in the yearbook.

More can be learned about proportions at https://brainly.com/question/24372153

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