Ari has a total of 22 coins consisting of pennies and nickels. The total value of coins is $0.54. how many pennies does he have?

Answers

Answer 1

Answer:

There are 8 nickels and 14 pennies

Step-by-step explanation:

Represent the number of pennies by p and nickels by n.  Then:

p + n = 22, or n = 22 - p

Coin values:

($0.01/penny); ($0.05/nickel).  Therefore, the relation showing the amounts of money involved is:

($0.01/penny)p + ($0.05/nickel)n = $0.54.

But we found earlier that n = 22 - p.  Therefore, the previous equation becomes:

($0.01/penny)p + ($0.05/nickel)(22 - p) = $0.54.

Multiply all three terms by 100 to eliminate the decimal fractions:

1p + 5(22 - p) = 54, or:

1p + 110 - 5p = 54, or:

-4p = -56

Thus, p = 14.  If p = 14, then n = 22 - 14 = 8.

There are 8 nickels and 14 pennies.

Check:  8($0.05) + 14($0.01) = $0.54 (correct)


Related Questions

30/20+30/40 simplify the equation

Answers

Step-by-step explanation:

LCM of 20 and 40 is 40

So,

60/40+30/40

90/40.... Answer

hope it helps

Find the value of x in each triangle. Please help me <33

Answers

Answer:

x = 11

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 4 + 6x - 3 + 4x + 14 = 180 ← collect like terms on left side

15x + 15 = 180 ( subtract 15 from both sides )

15x = 165 ( divide both sides by 15 )

x = 11

I just need help on this is all

Answers

It’s the second answer. 2•10•2 + 2•10•3 + 2•2•3
Twerk on a table to releive the stress

what is a statement that is assumed to be true without proof

Answers

an axiom or a postulate

An arc on a circle of radius 10 has an arc length of 49/9 . What is the degree measure of the corresponding central angle?

Answers

Hope this help!!!

Have a nice day!!!

Answer:

Central angle = 98 degrees

Step-by-step explanation:

Radius (r) = 10 Arc length = 49[tex]\pi[/tex]/9

Let 0 be the central angle

Arc Length = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = 2[tex]\pi[/tex]r0/360

49[tex]\pi[/tex]/9 = [tex]\pi[/tex]x0/18

49[tex]\pi[/tex]/9 x 18/[tex]\pi[/tex] = 0

0 = 49x2

0 = 98 degrees

help quickly pls! i will give thanks, rate, and maybe a brainliest!

Answers

Answer:

false

Step-by-step explanation:

1+2/5 = 5/5 + 2/5 = 7/5

can you help me find the code



link/picture in the comments

Answers

Answer:

????? sus

Step-by-step explanation:

sussy baka????

among sus

Sgdndgdbdbxvddns did she she she she didn’t yyyyyyyyyyy

4D+5P=$25

3D+4P=$26

Find the Value of D and P

Answers

Answer:

P= $29  and D = -$30

Step-by-step explanation:

4D + 5P = $25

5P = $25 - 4D

P = ($25 - 4D)/5            equation(i)

Noe substitute the value of P

3D + 4P = $26

3D + 4($25 -4D)/5 = $26

3D*5 + ($100 -16D)/5 =$26*5

15D + $100 - 16D =$130

-D = $130 - $100

D = -$30

Again substitute the vale of D in equation(i)

P = ($25 + 4D)/5

=$25 + 4*$30/5

=$25 + $120/5

=-$145/5

=$29

Answer:

P = 29, D = - 30

Step-by-step explanation:

Given the 2 equations

4D + 5P = 25 → (1)

3D + 4P = 26 → (2)

Multiplying (1) by 3 and (2) by - 4 and adding the result will eliminate D

12D + 15P = 75 → (3)

- 12D - 16P = - 104 → (4)

Add (3) and (4) term by term to eliminate D

0 - P = - 29

- P = - 29 ( multiply both sides by - 1 )

P = 29

Substitute P = 29 into either of the 2 equations and solve for D

Substituting into (1)

4D + 5(29) = 25

4D + 145 = 25 ( subtract 145 from both sides )

4D = - 120 ( divide both sides by 4 )

D = - 30

find (a) the perimeter and (b) the area of the figure. use 3.13 or 22/7 for n. round your answer to the nearest hundredth, if necessary

Answers

Answer:

;)))

Step-by-step explanation:

Gary buys a skateboard for
$145. What's the total cost
including 6% sales tax?

Answers

Answer:

$8.6

Step-by-step explanation:

The total tax is 8 dollars and 60 cents

Answer:

$153.70

Step-by-step explanation:

Sales tax is applied to things that are sold by a retailer. So if it says 6% tax is levied on the item, that means the total cost will be the initial cost of skateboard ($145) + sales tax (6% of 145)  = 145 + 8.7 = $153.70

SOMEONE PLEASE HELP THIS IS DUE TOMROROW EZ WORK


PLEASE ANSWER THEM PROPERY FULL SENTENCES

Answers

Answer:

1.) At times, designing a good structure with a specific function may often be difficult. If the structure is not well-designed or strong enough for the function it will not properly work. So in order for the design to be well-built, both the structure and function must cooperate.

2.) Symmetry is a balanced arrangement on the opposite sides of a structure. In order for for a structure to be stable and properly work without complications, it most commonly needs to be symmetrical. This is a very important part of designing a structure.

3.) If the structure cannot withstand the function nor the possible forces that it may encounter. It is likely that it will break or even be completely destroyed.

4.) Shape, line, color, texture, movement, space. The designer may have taken into consideration whom the desk may be used by for the shape and space. Color, texture, and line may have been based on the environment (ex. A carpenter, student, computer desk) it would be in. Although the designer may not have an exact knowledge of where the desk would be, he still could consider what the desk could "possibly" be used for. Once again, the designer could take into consideration the user, for the movement of the desk. If the desk was to be moved around on wheels, or possibly could even fold. The designer must take into consideration EVERY detail.

6.) When people design something, often times you do not know how well that design is going to work without testing it with a prototype. Yes, prototypes are expensive. Yet, if they were to build something without testing their design, something may be wrong with it. So as a result, you will spend more money manufacturing something with a defect than testing it with a prototype.

For question 5, I think it might be best if you answer that one. It is based on YOUR opinion and what YOU use. If you are asked about it, they will know it's from you and your opinion. Lol! But I hope I helped you out with the other questions! ;)

The function f(x)= StartRoot negative x EndRoot is shown on the graph.

On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 4, 2).

Which statement is correct?

The range of the graph is all real numbers less than or equal to 0.
The domain of the graph is all real numbers less than or equal to 0.
The domain and range of the graph are the same.
The range of the graph is all real numbers.

Answers

Answer:

The domain of the graph is all real numbers less than or equal to 0

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The domain of the graph is all real numbers less than or equal to 0.

Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).

Answers

Answer:

y + 1 = 6(x - 6)

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-1) / 5 - 6

-6/-1

= 6

y + 1 = 6(x - 6)

Explain how to solve 4x 2- 5x = 16 by completing the square. What are the solutions?

Answers

Answer:

[tex]x = \frac{16}{3} [/tex]

Step-by-step explanation:

Solve the equations:

[tex]4x \: 2 - 5x = 16[/tex]

Multiply the monomals:

[tex]8x - 5x = 16[/tex]

Combine like terms:

[tex]3x = 16[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x = 16 \div 3[/tex]

Calculate:

[tex]x = \frac{16}{3} [/tex]

Using the trend line y = 2x + 15, for the data shown, complete the residual table.

Answers

Given:

The data table is given.

The equation of trend line is:

[tex]y=2x+15[/tex]

To find:

Values for residual table.

Solution:

Formula for residual:

[tex]Residual=\text{Observed value}-\text{Predicted value}[/tex]

The equation of trend line is:

[tex]y=2x+15[/tex]                ...(i)

Substituting [tex]x=5[/tex] in (i), we get

[tex]y=2(5)+15[/tex]

[tex]y=10+15[/tex]

[tex]y=25[/tex]

The value of y from the table at [tex]x=5[/tex] is 25. So,

[tex]Residual=25-25[/tex]

[tex]Residual=0[/tex]

Similarly,

Substituting [tex]x=6[/tex] in (i), we get

[tex]y=2(6)+15[/tex]

[tex]y=12+15[/tex]

[tex]y=27[/tex]

The value of y from the table at [tex]x=6[/tex] is 28. So,

[tex]Residual=28-27[/tex]

[tex]Residual=1[/tex]

Substituting [tex]x=7[/tex] in (i), we get

[tex]y=2(7)+15[/tex]

[tex]y=14+15[/tex]

[tex]y=29[/tex]

The value of y from the table at [tex]x=7[/tex] is 29. So,

[tex]Residual=29-29[/tex]

[tex]Residual=0[/tex]

Substituting [tex]x=8[/tex] in (i), we get

[tex]y=2(8)+15[/tex]

[tex]y=16+15[/tex]

[tex]y=31[/tex]

The value of y from the table at [tex]x=8[/tex] is 30. So,

[tex]Residual=30-31[/tex]

[tex]Residual=-1[/tex]

Substituting [tex]x=9[/tex] in (i), we get

[tex]y=2(9)+15[/tex]

[tex]y=18+15[/tex]

[tex]y=33[/tex]

The value of y from the table at [tex]x=9[/tex] is 32. So,

[tex]Residual=32-33[/tex]

[tex]Residual=-1[/tex]

Therefore, the complete residual table is:

x                 :          5            6             7             8             9

Residuals  :          0             1             0             -1            -1

During the carnival, tickets were sold for a raffle. Carnival workers counted sales every 30 minutes. The number of tickets sold were: 123, 145, 110, 256, 123. What was the median number of tickets sold?

Answers

Answer:

123

Step-by-step explanation:

First arrange in ascending or descending order

110,123,123,145,256

Then pick the number in the middle which is 123

but if you have 2 middle numbers add them together and divide by 2

1. Which of the following sets is a FUNCTION?(X can't repeat)
*
O (3,4) (3,5) (3,9) (3,2)
O (3,4) (2,8) (9,3), (5,6)
O (3,4) (2,8) (3,7) (5,6)

Answers

Answer choice 1 because if you multiply each number it will give you a multiple

Mariano quiere comprar un reloj de $4500. por el pago de contado le hacen un descuento de 900$. a) Qué porcentaje es el descuento? *

Answers

Answer:

100

Step-by-step explanation:

I need someone to check my answer for this graph
(I chose negative )

Answers

Answer:

The answer is D) Undefined because the equation is x=-11.

Would be d because it’s not moving left or right

find the value of unknown angles x,y,z​

Answers

Answer:

the value of x is 50°mark the brainliest plzz

Answer:

Step-by-step explanation:

Remember :

1.if the two angles ae co interior angles their sum must be 180 degree.

2.If the two angles are corresponding angles they must be equal.

3.If the two angles are alternate interior or also said as alternate angles then they must also be equal.

4.If two angles are vertically opposite angles then they must be equal.

5.If two angles are alternate exterior angles then they must be equal.

Y’all know the answer?

Answers

9514 1404 393

Answer:

  (b)  36 in²

Step-by-step explanation:

The right triangle at lower right has a vertical leg of 3 and a hypotenuse of 5. Then the horizontal leg is ...

  √(5² -3²) = √16 = 4

Then the horizontal diagonal is 4+4 = 8. The vertical diagonal is 6+3 = 9. The area is half the product of the diagonals, so is ...

  A = 1/2(d1)(d2) = 1/2(8 in)(9 in) = 36 in²

__

You could figure the areas of the triangles separately, but you would come to the same result. This formula is good for a rhombus or a kite (or a square, which is also a rhombus), because the diagonals are perpendicular to each other.


A line has a slope of -1/4 and passes through point
(-5/4, 1)
What is the equation of the line?

Answers

Answer:

y = -1/4 x+11/16

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1/4x+b

Substitute the point in for x and y

1 = -1/4(-5/4) +b

1 = 5/16 +b

16/16 = 5/16 +b

Subtract 5/16 from each side

11/16 = b

y = -1/4 x+11/16

Answer:

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute ( - [tex]\frac{5}{4}[/tex], 1 ) into the partial equation

1 = [tex]\frac{5}{16}[/tex] + c ⇒ c = 1 - [tex]\frac{5}{16}[/tex] = [tex]\frac{11}{16}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{11}{16}[/tex]

Malik wanted to give away \frac{1}{5} 5 1 ​ of his bag of balloons to his 3 friends. What fraction of balloons will he give away?

Answers

Answer:

The answer is 3/5

Step-by-step explanation:

The amount of balloon to be given away= 1/5

The number of friends to

receive the balloon = 3

Therefore the total fraction of balloons that he gave away = 1/5 × 3

=3/5

what property is -23 x 1 = -23
(I need an answer like distributive property, zero product, additive inverse etc.)

Answers

Answer:

A B

Additive Identity (x) x + 0 = x

Additive Inverse (x) b + (-b) = 0

Multiplicative Identity (x) x • 1 = x

Multiplicative Inverse (x) x • (1/x) = 1

Write your own word problem that matches this equation, then solve for the variable:

6w = 42

Answers

Answer:

Word problem that matches the equation "6w = 42"

Word problem :

If you multiply 6 times number 'w' , you get the answer as 42

Step-by-step explanation:

equation :

6w = 42

Solving :

• 6w = 42

• w = 42÷6

• 42÷6 = 7

so,

w = 7

Which polynomial below could produce this graph?

Answers

Answer:

f(x) = (x + 20)(x - 24)(x + 10)(x + 12)

Step-by-step explanation:

This is an equation of degree 4 and as the beginning of the graph descends from negative x the polynomial will have a positive leading coefficient. The graph is roughly W shaped.

It also has zeroes at x = -20,-12 ,-10 and x = 24.

So it is the first option.

What is the inequality shown?

Answers

Answer:

The inequality shown is 5.

Step-by-step explanation:

It's just asking for the inequality so you can basically just add the distance like 4 + 5 = 9.

The inequality shown is 5

quick question ) if a person buys a new mobile phone every 18 months, how many phones will they buy in 6
years?

Answers

Answer:

4

Step-by-step explanation:

6 times 12 is 72

72 divided by 18 is 4

The answer is 4 phones.

12) Compare. Use <, >, or =. 665.5 - 281.7_1
373.8

Answers

Answer:

383.8   =  383.8

Step-by-step explanation:

665.5-281.7   ?   373.8

383.8   =  383.8

Simplity: (3(2a)^1/3) 2
24a3
216a3
72a3
342a

Answers

72a3 is the right answer
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