There are 276 nickels. How many whole dollars can be made from this and how many nickels are left over?

Part A

x = some unknown number

2x = doubling that number

2x+11 = adding on eleven

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Part B

If we knew what x was, then we can compute 2x+11 using the order of operations PEMDAS. Because x is unknown, we follow PEMDAS in reverse to isolate x.

So we'll undo the addition first by subtracting 11 from both sides. Then we undo the multiplication by dividing both sides by 2.

2x+11 = 25

2x+11-11 = 25-11 ..... subtract 11 from both sides

2x = 14

2x/2 = 14/2 ...... divide both sides by 2

x = 7

The number the person thought of was 7. Double 7 to get 14. Add on eleven to get 14+11 = 25.

Answer:

k = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

5k - 2 = 2k + 4

Step 2: Solve for k

Answer:

k=2

Step-by-step explanation:

5k-2=2k+4

add 2 to both sides

5k=2k+6

subtract 2k to both sides

3k=6

divide both 3k and 6 by 3 to get k by itself

k=2

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

Answer:

fraction form

x= 2 + ln(30)/ln(7)

decimal form

x= 3.74786969

Step-by-step explanation:

What I like to call the logarithmic equation solver.

Bring it down turn it around.

First bring down the 7 to a ㏒7 and the x-2 so that ㏒7(x-2)=30

Then change the constants from on another so then it would look like

㏒7(30)=x-2

solve for x

to solve do the log base finder equation ㏒(30)/ln(7)

and add 2

Answer:

7, though I don't know if it's 100% correct. I tried to help.

Step-by-step explanation:

f(x) = 4x^2 + 3x interval [1,5]

f(1) = 4(1)^2 + 3(1)

f(1) = 4 + 3

f(1) = 7

Answer:

[tex]\boxed {\boxed {\sf 27}}[/tex]

Step-by-step explanation:

The average rate of change is the change in the output from one input to another. Essentially, it is the change in y over the change in x.

[tex]\frac {\Delta y}{\Delta x} = \frac { f (x_2)- f(x_1) }{x_2-x_1}[/tex]

Let's assign 1 to x₁ and 5 to x₂.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

We must find the outputs f(5) and f(1). Substitute the value in for each x in the function.

f(x)= 4x² + 3x

Now we can find the average rate of change. We know the outputs and we know the inputs.

[tex]\frac {f(5)-f(1)}{5-1}[/tex]

[tex]\frac {115 -7}{5-1}[/tex]

[tex]\frac {108}{4}[/tex]

[tex]27[/tex]

The average of change of the function f(x) = 4x² + 3x on the interval [1,5] is 27.

Answer:

The value of y is 46.715

Step-by-step explanation:

4y-10+3.14 = 180

4y = 180 + 10 - 3.14

4y = 186.86

4y ÷ 4 = 186.86 ÷ 4

y = 46.715

Think of a vertical number line. The positive values count down as we move down this number line. The negative numbers count up, so to speak, as we move down the number line. So we have -1, -2, -3, ... as we move down. This indicates that -5 is not smaller than -7.

Diagram is below.

Explanation:

The commutative property of addition is A+B = B+A. We can add two numbers in any order. For example: 2+3 = 3+2 since both sides result in 5.

The idea applies to fractions as well. In choice D, the fractions 3/5 and 2/3 swap places so that we can group the 1/3 and 2/3. From there, the 1/3 and 2/3 combine to 1 and that's how we end up with the mixed number 1 & 3/5.

Answer:

These are the equations

Step-by-step explanation:

Gwen's equation =   x + 10y = 30

Tristan's equation=  x + 15y = 40

Keith's equation =  x + 10y = 30

Answer:

Step-by-step explanation:

100/120 = 15

15/100, which means that 18/120 as a percentage is 15%.

hope this helps :)

Step-by-step explanation:

b) 3.14, 31.4, 0.314, 3 2/4, 3.141

3.14, 31.4, 0.314, 3.5, 3.141

0.314, 3.14, 3.141, 3.5, 31.4

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

Answer:

2/5

Step-by-step explanation:

Six out of 15 are full.

[tex]\dfrac{6}{15}=\dfrac{2*3}{5*3}=\dfrac{2}{5}[/tex]

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Answer:

1/3 hours : 22 gallons

1.5 hours : 99 gallons

Step-by-step explanation:

set a proportion fo all of them

x hours : 22 gallons:

66 22

--- = ---

60 x

22/66 = 0.3333333333333 x 60

= 20 and convert to fraction

20/60 simplified is 1/3

1.5 hours : x gallons

66 x

-- = ---

1 1.5

1.5 / 1 = 1.5

1.5 x 66 = 99

x = 99

Answer:

24°

Step-by-step explanation:

We are given that m∠EFG is a right angle, and that m∠EFH = 66°

m∠EFH + m∠HFG = m∠EFG

Substitute values and solve.

66 + m∠HFG = 90

m∠HFG = 24°

Answer:

80 square units

Step-by-step explanation:

I am in a rush so this might not be right but probably is

Answer: 0.48

Step-by-step explanation: 5.76 divided by 12 equals 0.48 because that determined how much an ear of corn costs.

Answer:

x= 5

Step-by-step explanation:

am isosceles triangle has 2 sides equal i.e the legs.

Answer:

34

Step-by-step explanation:

f(-3) = -3(-3) +7

f(-3) = 16

g(3) = -7(3) +3

g(3)= -18

16 -(-18) = 34

Answer:

34

Step-by-step explanation:

f(x) = -3x + 7

f(-3) = -3(-3) + 7

= 9 + 7 (two negatives make a positive)

= 16

g(x) = -7x + 3

g(3) = -7(3) + 3

= -21 + 3

= -18

16 - (-18)

16 + 18 (two negatives make a positive

= 34

Hope this helps!

Answer:

2.4

Step-by-step explanation:

4/5 / 1/3

4/5 x 3/1

4/5x3/x1 = 12/5

22/5

12/5 = 2.4

Answer:

Okay first you need to use the formula: V=[tex]\pi r^{2} *h[/tex]

All you need to do is plug in those numbers.

Like this: V= [tex]\pi *1^{2}*8[/tex]

which is = 25.13 [tex]cm^{3}[/tex]

Ta-da!! lol. Have a great day!

Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

Answer:

Step-by-step explanation:

∠AEB + ∠FEC = 180   {linear pair}

∠AEB = 180 - 4x

DE // AB , AE is transversal,

∠EAB = ∠DEA   {Alternate interior angles}

∠EAB = 2x

∠EBC = ∠AEB + ∠EAB  {Exterior angle property}

    6x  =  180 - 4x + 2x

    6x = 180 - 2x

Add 2x to both sides

6x + 2x = 180

8x = 180

x = 180/8

x = 22.5

Answer:

y= -1, x=3

Step-by-step explanation:

2x+y=5

x-y =4

x= 4+y

Sub 1 into 3

2( 4+y ) 4y =5

8+2y +y =5

8+3y =5

3y =5-8

3y =-3

y=-3÷3

y = -1 #

Sub y = -1 into 3 equation

x=4+(-1)

x=3 #

Answer:

Step-by-step explanation:

69

Answer:

793

Step-by-step explanation:

Arithmetic sequences are basically linear equations, so as input increase by one output always increases by the same amount. In sequences this is called common difference. To find it, just subtract one term by the term right before it.

So, -10--21=11 and also 1--10=11

so common difference is 11

now we will use the formula Asubn=Asub1+d(n-1)

D is Common difference and n is the term you're solving for. The n-1 is a result of the first term being in the formula. When one is plugged into n-1 you get zero and then multiply d by zero and you get zero and are left with Asub1

Anyways, Asub75=-21+11(75-1)=793

Answer:

They would need 500 liters of soda water and this would make 100 batches of the sparkling orange juice.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

Answer:

500 soda water, 100 batches, just a guess so sorry if im wrong

Step-by-step explanation:

Answer:

He uses the credit card to pay $9 for lunch. Use the number line to subtract $9 from Colton's credit balance, and complete the equation. ucation

Step-by-step explanation: