Paul has a sum of $260 in $5 and $10 bills. If he has 40 bills in total, how many were of each denomination?

Answers

Answer 1

Answer:

28 5 dollar bills

12 10 dollar bills

Step-by-step explanation:

You can write two equations to model this situation'

x will be the number of 5 dollar bills

y will be the number of 10 dollar bills

x+y=40

5x+10y=260

There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)

So we have x+y=40

If I subtract y from both sides and divide by -1 we get

-x+40=y

We can then plug this value in for y in the second equation

5x+10(-x+40)=260

Distribute the 10 and combine like terms to get

-5x+400=260

subtract 400 from both sides and divide by -5 to get

x=28

This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y

28+y=40

Subtract 28 from both sides

y=12

This means that there were a total of 28 5 dollar bills and 12 10s

I doubled checked this in desmos and it checks out


Related Questions

4x-1=3(x-1) Please help!

Answers

Answer:

x=-2

Step-by-step explanation:

4x-1=3x-3

x=-2

X = -2

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2) is ?

Answers

Given :

A curve : 3x² - 2xy + y² = 11

To Find :

The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2).

Solution :

Differentiating given curve w.r.t x is :

6x - ( 2y + 2xy' ) + 2yy' = 11

Putting the point ( 1, -2) in above equation, we get :

6 - ( 2(-2) + 2y' ) - 4y' = 11

6 - ( -4 + 2y' ) - 4y' = 11

10 - 6y' = 11

6y' = -1

[tex]y' =\dfrac{-1}{6}[/tex]

Therefore, the slope of the line tangent to the given point is [tex]y' =\dfrac{-1}{6}[/tex] .

Answer:

5/3

Step-by-step explanation:

The previous explanation was incorrect because they forgot to differentiate the other side of the equation (11), which would actually become 0, and make the answer 5/3

Sry the app makes the photo so bad quality but anyways can someone please help me

Answers

The answer is option d because both angle one and angle three are vertically opposite angles

6x+45=9x+15

Collect like terms

-3x=-30

Divide both sides by -3

-30/-3 is 10

So, the answer is d

Answer:

B also the full name of vertically angles is called the vertically opposite angle theorem or voat

Convert 2.8 radians to degree measure. Round your answer to the nearest hundredth.​

Answers

Answer:

16.04°

Step-by-step explanation:

[tex]2.8 \: rad = x \: degrees \\ [/tex]

1rad × 180/π = 57.296°

[tex]x = 2.8 \times \frac{180}{\pi} = 16.0428 \\ x = 16.04[/tex]

Pls help me I’m failing math

Answers

Answer:  See explanation

Step-by-step explanation:

The best deal would be either I or III. Either would result in a discount of 25% which is better than the other which is 20%

A number is divided by 5 then decreased by 5. It becomes -2. Find the number​

Answers

The number would be 15. Hope that helped!

Find the coordinates of point B

Answers

Answer:

uhm where is the chart??

Answer: square root 2 over 2

Step-by-step explanation: edg BS algebra2b

Rate of change on a graph.- I'll give brainly for the answer, thank you

Answers

Answer:

The slope of graph is [tex]\mathbf{\frac{3}{2}}[/tex]

Option C is correct option.

Step-by-step explanation:

We need to find the slope (rate of change) of the graph

The formula to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Taking two points from the graph: (You can take any two points from the graph)

Point 1 (-4,-3)

Point 2 (-2,0)

We have: [tex]x_1=-4, y_1=-3, x_2=-2, y_2=0[/tex]

Putting values in the formula and finding slope

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-3)}{-2-(-4)} \\Slope=\frac{0+3}{-2+4} \\Slope=\frac{3}{2}[/tex]

So, the slope of graph is [tex]\mathbf{\frac{3}{2}}[/tex]

Option C is correct option.

Write a numerical expression for the word expression. The product of 7 and 12

Answers

Answer:

7x12

Step-by-step explanation:

product is multiplication

evaluate sigma notation k=0 4 3k + 1

Answers

The answer should be 126 or A.

How many China stick insects that are a length of 64 mm will it take to make one decimeter, one meter, one decameter, one hectometer, and one kilometer? I NEED THIS ASAP, LIKE RIGHT NOW, PLEASE I BEG YOUUUU

Answers

Answer:

deciameter form is 16.256.... one meter is 100.... one decameter 100.... one hectometer is 10000.... one kilometer 10000

Step-by-step explanation:

Calculate the length of x.

Answers

Answer:

B

Step-by-step explanation:

Use the pythagorean theorem to find the hypotenuse. You can do this by squaring 12 and 11 (separately) and then adding those together. You'll get 265. However, since this is c squared and not c, you have to find the square root for the correct answer. The square root of 265 is approximately 16.28. Hope this helps!

I need help please help me this math

Answers

I forgot how to do thatbut im gonna grab my old notebook to try and help!

prove the given identity ​

Answers

Step-by-step explanation:

3. Let us take apart the right side

1+cos2x = 1 + cos^2x - sin^2x

1 - sin^2x = cos^2x

therefore we have 2cos^2x

Therefore we just have cos^2x/cos^2y = 2cos^2x/2cos^2y, which is true.

4. tan(x/2) = +/- sqrt((1-cosx)/(1+cosx)) using half angle identities for sin and cos.

Therefore tan^2(x/2) = (1-cosx)/(1+cosx)

If we multiply top and bottom by tanx, we get

(tanx - sinx)/(tanx + sinx), which is the right side.

Gina, Jared, and Edward sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each person shelled an equal amount.
How many bowls of peas did each person shell?
PLSS HELP

Answers

Answer: 2/3 bowl

Step-by-step explanation: you divide the 2 bowls by 3 since there are 3 people

which expression is equavalent to -3(2m-1)-n
A 6m-n-3
B 6m-n+3
C -6m-n-3
D -6m-n+3

Answers

Answer:

D.) -6m - n + 3

Step-by-step explanation:

-3 (2m - 1) - n

-6m + 3 - n

-6m - n + 3

If I helped, please mark me the Brainliest!?!

250% of what number 152.5

Answers

Your answer is 61. You welcome



Which is the graph of a quadratic equation that has a negative discriminant

Answers

Answer:

The only one

Step-by-step explanation:

The one that is shown has a negative b^2-4ac value.

We know this because the function has no real roots -> that means that they must be complex, which can only occur if b^2-4ac < 0

Answer:

it's D, the last graph.

Step-by-step explanation:

took the unit test review and made a 100

Which of these statements best describes the relation shown in Item 1?

Answers

Answer:

It is a many-to-one relation

Step-by-step explanation:

Given

See attachment for relation

Required

What type of function is it?

The relation can be represented as:

[tex]\left[\begin{array}{c}x\\ \\-5\\-2\\1\\5\end{array}\right][/tex]         [tex]\left[\begin{array}{c}y\\ \\10\\11\\4\\10\end{array}\right][/tex]

Where

[tex]x = domain[/tex] and [tex]y = range[/tex]

Notice that the range has an occurrence of 10 (twice)

i.e.

[tex](x_1,y_1) = (-5,10)[/tex] and [tex](x_2,y_2) = (5,10)[/tex]

In function and relations, when two different values in the domain point to the same value in the range implies that, the relation is many to one.

Crew owes his mom $23 and James owes his mom $8. Which amount has the greatest magnitude?

Answers

Crew because 23>8 23 is larger than 8

Magnitude=A great size, or extent of something

How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.

Answers

Given:

The function is [tex]f(x)=3.5x^3[/tex].

To find:

Whether the given function is Steeper, Less steep, or Reflected over the x-axis to describe the other function.

Solution:

Transformation of function: If f(x) is function and

[tex]g(x)=a\ f(x)[/tex]

Here, a is vertical stretch or compression.

If 0<|a|<1, then g(x) is less steeper than f(x) because f(x) is vertically compressed.

If |a|>1, then g(x) is steeper than f(x) because f(x) is vertically stretched.

If a is negative, the f(x) is reflected over the x-axis, to get g(x).

On comparing the function [tex]p(x)=4.5x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 4.5>3.5 So, it is the case vertical stretched and p(x) is steeper than f(x).

On comparing the function [tex]q(x)=-x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get |-1|=1<3.5 So, it is the case  vertical compression and q(x) is less steeper than f(x) and because of negative sign the function is reflected over axis.

On comparing the function [tex]r(x)=3x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 3<3.5 So, it is the case vertical compression and r(x) is less steeper than f(x).

Therefore, [tex]p(x)=4.5x^3[/tex]  is steeper.

[tex]q(x)=-x^3[/tex] is less steep and reflected over the x-axis.

[tex]r(x)=3x^3[/tex] is less steep.

Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)

Answers

the answer would be H, because it is rotating 90 degrees which would end up on Quadrant l (+, +).
therefore your answer is H. If you need a little more explaining comment:))

In the figure, PQ // RS. Find the value of x.

Answers

Answer:

x=57

Step-by-step explanation:

add a line perpendicular to PQandRS

then 90+90+130+116+2x=540

2x=114

x=57

in the figure PQ//RS

the value of x=33

40 POINTSSSS

Please make sure it is correct ​

Answers

1) linear: this equation just gives us a straight line with no curves
2) linear: this equation gives us a horizontal line
3) non linear: the -2x^2 makes the equation a parabola, so the graph is not a straight line. It looks like an upside down u. Therefore because this equation is a parabola, it is not a linear equation

The value of x must be greater than
0
1
3
7



LOOK AT PIC FOR ANSWER

Answers

Step-by-step explanation:

I guess the answer is 7....

I am not sure....I tried

Sophia exchanged 1000 U.S. dollars for the South African currency which is called the rand. The exchange rate was 8.05 rand to 1 dollar please explain how you know

Answers

Answer:

Sophia gets 7,150

Step-by-step explanation:

Of 290 students in school,20%wear glasses. Is 75,95,58, or 119 a reasonable estimate for the number of students wearing glasses

Answers

Answer: 58

Step-by-step explanation: can't really explain, but I promise that's right

Answer:

58 is a reasonable estimate for the number of students wearing glasses.

Step-by-step explanation:

20% of 290 ( or 290*0.2) is equal to 58.

Therefore, the answer is 58.

I hope this helps!

A jewelry store marks up the price of bracelets they purchase at $30.00 each by 75%. What is the markup and new price of each bracelet?

Answers

The new price is 52.50
30x2=60
30/4=7.5
7.5x3=22.5
22.50+30= 52.50

Solve this system of linear equations: 4x - 2y = 8
y = 3/2x - 2
(If you explain simply and correctly, I'll give extra points)

Answers

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

Parenthesis

Exponents

Division

Multiplication

Addition

Subtraction

Step 1

4x - 2y = 8 ,y = 3/2x - 2  equation/Question

Step 2

4x-2y=8  Substitute

4x-2( 3 /2 x-2)=8

Step 3

x+4=8  simplify

x=4

Step 4

y= 3 /2 x-2  substitute 4 for x

y= 3 /2 (4)-2

Step 5

y= 3 /2 (4)-2  simplify

y=4

answer

x=4

y=4

If 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?

Answers

Answer:

5:7

hope it helps........

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