Consider the information in the previous questions (Henry only has quarters, nickels, dimes and pennies). Is it mathematically possible for Henry to have exactly 23 pennies if he has a total of $2.41? Defend your conclusion with an equation for the sum of the coins and two or more complete sentences explaining your conclusion.

Answers

Answer 1

Answer:

No

Step-by-step explanation:

The total amount is $2.41.

If the are 23 pennies, then the amount excluding the pennies is:

$2.41 - $0.23 = $2.18

This amount comprises quarters, nickels and dimes.

Each of them is multiple of 5:

Quarter = $0.25Nickel = $0.05Dime = $0.10

Any amount made by the combinations of these has to be multiple of 5 cents. But the sum is $2.18, which is not multiple of 5 cents.

It means Henry can't make it.


Related Questions

what fractions could be used to represent the whole numbers on this number line? Explain your reasoning ​

Answers

Answer:

3/3, 6/3, 18/6, 32/8, 25/5

Step-by-step explanation:

You can do many different combinations but that is just one combination you can do that equals 1, 2, 3, 4, and 5.

PLEASE HELP:

FOR 1 & 2 THE DIRECTIONS ARE: NAME THE ARC MADE BY THE GIVEN ANGLE

FOR 3&4 THE DIRECTIONS ARE:
NAME THE CENTRAL ANGLE OF THE GIVEN ARC

Answers

Answer:

1. FE

2. HI

3. <1

4. <MQL

***FOR #1 & #2, THERE IS A CURVE ON TOP OF THE LETTERS!!!

HELP ANOTHER QUESTION HAVE RSM TOMORROW! PLSSSSS HELP!!!!!!!!!!!!!!!!!!!!

Answers

To Find:

The vale of x

Solution:

In the attachment

Hope this helps :)

Answer:

Step-by-step explanation:

please help I have no idea what to do​

Answers

Answer:

2p^2 - 1p - 8     GCF= 2p

Step-by-step explanation:

The GCF of the following equation can be written as 2p.

So with this information, we can solve the equation.

2p^2 - 1p - 8

Let me know if I am correct.

9f+7f i need the answer pleaseeeee

Answers

Answer:

it's either 32 or 16f I don't know though

Answer:

16f

Step-by-step explanation:

We can combine like terms here by adding the coefficients:

9f + 7f = (9+7)f = 16f

What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)

Answers

Answer:

Equation is Y=x/2

Step-by-step explanation:

Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0. 8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1. 12p. Using this information, which of the following represents the final price of a gaming system, with the discount and taxes applied? g[c(p)] = 0. 896g c[p(g)] = 0. 896g g[c(p)] = 1. 92p c[p(g)] = 1. 92p.

Answers

Final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

What is composite function?

Composite function is the function in which the one function is dependent on the other function. The one function is written inside the other function to show the such relationship between the two function.

Given information-

The sale on the gaming system are of 20 percent.

The total local tax on the discounted price is 12%.

The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

The function which expressed the tax on discounted price is,

[tex]c(p) = 1. 12p.[/tex]

The sale on the gaming system are of 20 percent and The function which expressed the sale on gaming system is,

[tex]p(g) = 0. 8g[/tex]

Now the local tax is applied on the discounted price after the 20 percent sell. Thus the function of discounted price will be a written inside the function of local tax as,

[tex]c[p(g)] =1.12p(0.8) \\c[p(g)] =0.896p \\[/tex]

The above function is the required function, which tales the final price of the gaming system is 0.896 times the original price.

The final price of gaming system, with the discount 20% and taxes 12% applied is represented by composite function as,

[tex]c[p(g)] =0.896p \\[/tex]

Learn more about the composite function here;

https://brainly.com/question/10687170

David grew 35
bananas and 46
strawberries in his
garden. If he
wanted to use
these fruits equally
to make a
smoothies, how much fruit would go
into each smoothie?

Answers

46 - 11

35 fruits will go into each smoothie

Answer:

same as the above

Step-by-step explanation:

Hope this answer helps you

Solve each system of equations using the elimination method

3x+8y=2
4x-2y=-10

Answers

x = -2

y = 1

let's multiply second equation by 4 to get a common coefficient of y variable.

16x-8y=-40

add the equations

3×+8y=2

16x-8y=-40

----------------

3x+16x = -38

19x = -38

x = -2

substitute x

3×-2 + 8y = 2

-6 + 8y = 2

8y = 2+6

y = 1

check the answer

-6+8 = 2

-8-2= -20

Solve for y.
y = 2x + 3

Answers

Answer:

what is x then i can say

Step-by-step explanation:

?????????????????????? i dont gets it

Otherwise its already simplified.

a grocer has to sell two kinds of candy, one selling for 40 cents a pound and the other for $1.40 per pound. how many pounds of each kind must he use to make 100 pounds worth 85 cents a pound

Answers

Answer:

$1.40 candy: 45 pounds$0.40 candy: 55 pounds

Step-by-step explanation:

Let x represent the number of pounds of the more expensive candy. Then the price of the mix is ...

  1.40x +0.40(100 -x) = 0.85(100)

  x +40 = 85 . . . . . . simplify

  x = 45 . . . . . . . . subtract 40

  100 -x = 55 . . . pounds of cheaper candy

The grocer must use 45 pounds of $1.40 candy and 55 pounds of $0.40 candy to make the mix.

One penny is one hundredth of a dollar. If I have 33 pennies, what fraction of a dollar do I have? Convert the fraction to a decimal

Answers

Answer:

0.33

Step-by-step explanation:

i found this answer from knowing common sense. 33 hundredths is 0.33. thus making 33 pennies; 0.33

How many solutions are there?

Answers

Answer:

There is only one solution, and that is x=−2 and y=7

Step-by-step explanation:

Kathrine makes bracelets at a rate represented by a algebraic equation y=4× where x is the number of days, and y is the total number of bracelets made. Katherine also makes necklaces at the rate shown in the graph. How many more days will it take katherine to make 20 necklaces than it will take her to make 20 bracelets?​

Answers

Using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

What is an Algebraic Equation?

An algebraic equation, like the one given, models word problems, and can be used to find unknown numbers.

Thus:

y = 4× represents the rate Kathrine uses to make bracelets, where,

x = number of days

y = total number of bracelets made

Find the number of days (x) it takes to make 20 bracelets.

Substitute y = 20 into y = 4x:

20 = 4x

20/4 = x

x = 5 days.

Create an algebraic equation in the form of, y = kx, for the rate of necklace Kathrine makes using the graph.

Thus, using the point, (4, 10), substitute x = 4 and y = 10 into y = kx and find k.

10 = k(4)

10/4 = k

k = 2.5

The algebraic equation for rate of necklace made is: y = 2.5x

Number of days Kathrine will use to make 20 necklaces would be:

20 = 2.5x

20/2.5 = x

x = 8 days.

Number of days to make 20 bracelets = 5 days

Number of days to make 20 necklaces = 8 days

In summary, using the algebraic equation and the graph given, number of extra days it will take Kathrine to make 20 necklaces than it will take her to make 20 bracelets is: 8 - 5 = 3 days.

Learn more about algebraic equations on:

https://brainly.com/question/2164351


The points (5, 8) and (8, 7) fall on a particular line. What is its equation in point-
slope form?

Answers

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{5}}}\implies \cfrac{-1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{5})[/tex]

Question Help
At a basketball game, a team made 51 successful shots. They were a combination of 1- and
2-point shots. The team scored 83 points in all. Write and solve a system of equations to find the
number of each type of shot.
There were 2-point shots and 1-point shots.

Answers

Answer:

19 1-point shots and 32 2-point shots

Step-by-step explanation:

Let x be the amount of 1-point shots they made and y be the amount of 2-point shots they made then...

x+y=51

x+2y=83

We can solve this equation using elimination. In this case, we can eliminate x be subtracting the two equations.

-y=-32

Divide both sides by -1

y=32

Plug this back into the equation to solve for x

x+32=51

Subtract 32 from both sides

x=19

They scored 19 1-point shots and 32 2-point shots.

I don’t understand this help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 4

Step-by-step explanation:

Rewrite the given equation as b^(2x) = b^8.

The exponents 2x and 8 must be equal, and so 2x = 8, and x = 4

Please answer as quickly as possible! (50 points)

Answers

Answer:

last one, x>-2.5

Step-by-step explanation:

Solve for k in the following equation: E = 2kn​

Answers

Answer:

(E/2)/n = k

So when doing this you have to isolate K since your solving for “k”.

In order to do this you have to perform the inverse of every variable or number in order to isolate K.

In this case you divide 2 and then N.

a gardener uses a triangular prism shpapped clay pot to plant flowers. the triangular base is 3 units along the base and 5 units high. the pot has a height of 26 units. what is the volume

Answers

The volume of the triangular prism clay pot is 195 unit³

Volume of a triangular prism:v = BH

where

B = base area

H = height of the prism

Therefore,

Base area = area of a triangle

area of a triangle = 1 / 2 × base × height

Therefore,

B = 1 / 2 × b × h

b = 3 units

h = 5 units

B = 1 / 2  × 3 × 5

B = 15 / 2

B = 7.5 units²

Therefore,

H = 26 units

 B = 7.5 units²

V = 7.5 × 26

V= 195 unit³

learn more on triangular prism here: https://brainly.com/question/16537585

Yosemite Falls, the highest waterfall in the United States, is actually made 1 up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite Falls is 80 feet more than twice the Middle Cascades Falls. The entire set of waterfalls is 2425 feet long. Which equation models this situation?​

Answers

Answer:

z-355=x

2z-80=y

x+y+z=2425 ft

Step-by-step explanation:

Smallest Yosemite falls- x

Largest Yosemite falls-y

Middle Cascades Falls- z

A company logo is made up of a square and four identical triangles, as shown in this image
What is the area of the logo
Enter your answer in the box

Answers

Answer:

Area   is    72cm²

Step-by-step explanation:

Data :

There are four triangles and a square

       x = 6 cm

       h = 3 cm

Formula for square

   Area = A = x² = 6² = 36

All triangles has equal area

So formula used to find area is

   Area = A = 1/2 bh = 1/2 × 6 × 3 = 9

For four triangles

    9 × 4 = 36

Add them

     36 + 36 = 72

Answer:

91

Step-by-step explanation:

the real answer is 91 its not 72 I took the test k12

A refrigerator was bought for rupees 15000 it was sold on 2% loss find the selling price of the refrigerator.​

Answers

Cp = 15000

L % = 2 %

First Let's find loss :

L % = (L/CP) × 1002 = (L/15000) × 1002/100 = L/150001/50 = L / 150001/50 × 15000 = L1/5 × 1500 = LL = 300

Final equation:

L = Sp - Cp300 = Sp - 15000Sp = ₹15300

I am pretty lazy to use latex adjust with it xD

Answer:

wait a minuate which school you study i study in indian school salalah

-Brainliest
please help
ignore the selected option in q1

Answers

Answer:

D.  17,15,13,11

Step-by-step explanation:

The expression states that the next term in this sequence is formed by subtracting 2 from the preceding (n-1) result.  We know that for n = 1 that f(1) = 17.

f(n) is f(n-1) - 2

so

f(2) = f(1) - 2

f(2) = 17 - 2 or 15

f(3) = f(2) - 2

f(3) = 15 - 2 or 13

f(4) = f(3) - 2

f(4) = 13 - 2 or 11

 . . . .

 . . . .

 . . . .

and so on.

Answer:

D and B

Step-by-step explanation:

using the recursive formula and f(1) = 17 , then

f(2) = f(1) - 2 = 17 - 2 = 15

f(3) = f(2) - 2 = 15 - 2 = 13

f(4) = f(3) - 2 = 13 - 2 = 11

first 4 terms are 17, 15, 13, 11 → D

-------------------------------------------------------

Using the recursive formula and f(1) = 5 , then

f(2) = 4f(1) = 4 × 5 = 20

f(3) = 4f(2) = 4 × 20 = 80

f(4) = 4f(3) = 4 × 80 = 320

first 4 terms are 5, 20, 80, 320 → B

if an angle is 35 degrees what will the opposite side divided by the hypotenuse equal

Answers

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

Answer:

The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

what is the equation of the following line
ASAP ps

Answers

Answer:

y = 2/3x

Step-by-step explanation:

*

Austin graphed the linear function below using a table of values. Which of the following coordinates were included in the table of values? Select all that apply.

(0,5)

(5,-6)

(3,-2)

(2,2)

Answers

Answer: A B C

Step-by-step explanation:

Explain why it might be important to be able to work with and manipulate fractions when working in construction.

Answers

Answer:

Addition and Subtraction with different denominators. If the denominators are different then a common denominator needs to be found.

2 pages.

hope this helps

Can someone/ anyone help me please I am begging you and I have nine other problems I need help with

Answers

What does the drop down menu say??

the sum of the length breadth and height of a cuboid is 19cm and length of its diagonal is 11cm find surface area of LSA

Answers

Hence, the surface area of the cuboid is 240 cm2.
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