Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?

A.
x + y = 13
0.25x + 0.5y = 3.55

B.
x + y = 13
0.25x + 0.05y = 3.55

C.
x + y = 13
25x + 5y = 3.55

D.
x + y = 3.55
0.25x + 0.05y = 13

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

[tex]7 + 4r + 12 = 9r - 6[/tex]

[tex]19 + 4r = 9r - 6[/tex]

[tex]19 + 9r = - 6[/tex]

[tex]4r - 9 = - 6 - 19[/tex]

[tex] - 5r = - 6 - 19[/tex]

[tex] - 5r = - 25[/tex]

[tex] = \: \: \: \: r = 5[/tex]

We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

Given the polynomial function expressed as:

[tex]f(x)=2x^4-8x^2+7x-25[/tex]

If x tends to negative infinity, the polynomial function will become:

[tex]f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25[/tex]

Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.

Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.

Learn more on polynomial functions here: https://brainly.com/question/7693326

Answer:

It will take about half an hour more for maria to finish his/her project than Juan.

Step-by-step explanation:

9/10 > 2/6

=> 54/60 > 20/60

=> 34/60

Therefore, it will take about half an hour more for maria to finish his/her project than Juan.

Hoped this helped.

Answer:

50min estimate 3/4h

Step-by-step explanation:

find 9/10h

60 : 10 * 9 = 54 min

find 2/6h

60 : 6 * 2 = 4 min

54 - 4 = 50 min

Answer:

Xander has 140 friends

Kennedy has 92 friends

Step-by-step explanation:

Let x represent # of friends Xander has at the start

Let x+11 represent # of friends Kennedy has at the start

Let 2(x+11) rep. the final # of friends Kennedy has

Let 4x rep. the final # of friends Xander has

Total = 232

So we just need to solve for x:

2(x+11) + 4x = 232

2x + 22 + 4x = 232

6x = 210

x = 35             < - This means that xander started with 4 friends.

Sub x to find friends for each:

4x = ?

4(35) = 140 friends

2(x+11) = ?

2(35+11) = 92

Answer:

c

Step-by-step explanation:

c will be the answer g g g t g

[tex]\text{Given that,}\\\\\text{Perimeter = 1000 m}\\\\\implies 2(\text{Length} + \text{Width}) = 1000~ \text m\\\\\implies (x+ \text{Width}) = \dfrac{1000}2 =500~ \text m\\\\\implies \text{Width} =(500 -x) ~\text{m}[/tex]

Answer:

x cannot = -2

Step-by-step explanation:

if x = -2 then the denominator is 0 and a fraction with 0 as a denominator is undefined.

Answer:

A

Step-by-step explanation:

f(x) = [tex]\frac{x-3}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

x + 2 = 0 ⇒ x = - 2 ← excluded value in the domain

The domain of f(x) is all real values of x such that x ≠ - 2

Answer:

$72,000

Step-by-step explanation:

If we take 60,000 and then take 20 percent of it, we get 12,000. Then we add 12,000 to 60,000 and it gives us 72,000.

Answer: The Tree height is 21 feet.

Step-by-step explanation:

Let's convert the measurements to feet:

The Building is 20 feet.

The Tree height is 21 feet.

The Flagpole is 18 feet.

Therefore, the Tree is going to cast the longest shadow since it is the highest.

Step-by-step explanation:

90.......................

Answer:

90.

Step-by-step explanation:

We have:

5

6 = 3 * 2

9 = 3 * 3

LCM = 5 * 3 * 2 * 3 = 90

As both 6 and 9 have a 3 in common this 3 is only used once in the calculation.

Answer:

Parallel: 6, 1

Perpendicular6,. 1

Answer:

I can't make a graph, but you would start by putting a point at -1 on the Y axis, then plot the rest of the points by going up 4, and over 7 from the original point you plotted

Step-by-step explanation:

I hope you can make sense of that

Answer:

[tex]r \div st \\ \\ 180 \div 5 \times 4 \\ \\ 180 \div 20 \\ = 9[/tex]

Step by step solution:

[tex]\huge \bf༆ Answer ༄[/tex]

The equivalent expressions are ~

9 5×

45×

Answer:

4 tens

Step-by-step explanation:

3 tens would get you $30, which is $7.80 short. If you give 4 tens you are giving $40 which is 2.20 more than $37.80, which is okay as you can probably get change and it is the least amount of tens you can give to cover the cost.

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

Answer:

Step-by-step explanation:

216 =6^3

1,296 = 6^4

7,776 = 6^5

x = 6^f(x)

log x = log 6^f(x) = f(x)log 6

f(x) = log x / log 6 =

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

Answer:

The answer is simple. Just graph like you would any normal graph

Step-by-step explanation:

The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

We are to find the product of (4z^2+7x-8) and (-z+3)

Product  =  (4z^2+7z-8)(-z+3)

Using the distributive law:

[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]

Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]

Learn more on product of functions here: https://brainly.com/question/25638609

Step-by-step explanation:

I don't know what is the answer I can explain it

Answer:

(-2, 2) (-4, 2) (-4, 5)

Step-by-step explanation:

The coordinate for A are (2, 2) (4, 2) and (4, 5).

When you reflect across the x=axis the y coordinates become negative.

(2, -2) (4, -2) (4, -5)

y = x is a diagonal line through the origin, and all of the points change signs.

(-2, 2) (-4, 2) (-4, 5)

Plot the 3 points for the triangle.

Answer:

Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!

Step-by-step explanation:

Im not good at explaining things without it sounding very confusing... sorry.

[tex]\dfrac{3^{15}}{3^3} = 3^{15 -3} = 3^{12}[/tex]

Answer:

a driver costs $19, while a putter costs $12

Step-by-step explanation:

driver = d

putter = p

1d + 2p = 43

3d + 1p = 69

d + 2p = 43. eq 1

3d + p = 69. eq 2

make d the subject of the equation

d = 43 - 2p. eq 3

substitute the value of d in eq 3 in eq 2

3(43 - 2p) + p = 69

129 - 6p + p = 69

collect like terms

129 - 69 = 6p - p

60 = 5p

p = 12

substitute the value of p in eq 3

d = 43 - 2(12)

d = 43 - 24

d = 19

Answer:

Each player would have to score 23 points.

Step-by-step explanation:

To answer this question, you must do 230 ÷ 10!

The answer to this is 23.

You can double check your answer by multiplying 23 by 10!

Answer:

23

Step-by-step explanation:

I got it correct on I-ready

Hope this helped!

From: Aug1e

Answer:

x + 2 = 7/8 x  -15

x = -136

Step-by-step explanation:

Two more than a certain number is 15 less than the product of 7/8 and the number.

Let x be the 'certain number'

x + 2 = 7/8 x  -15

x = 7/8 x - 17

1/8 x = -17

x = -136

Answer:

Step-by-step explanation:

the answer is -136

Step-by-step explanation:

Answer:

if im correct the answer is 63 + 36 = 9 (7 + 4)

Step-by-step explanation:

Answer:

The guy above was correct! I hope people see this so that they can trust the provided answer above.

Step-by-step explanation: