A 7-mile bike race is divided into 4 equal sections. Which equation shows how to find the number of miles in each section?

Answer:

Step-by-step explanation:

The equations given are:

For the equations to generate the same independent value, then

This implies that:

Group similar terms to get:

Simplify to get:

Answer:

The answer is A.

Answer: 79 ounces = 2 quarts and 15 ounces.

Explanation:

1) The question is: 1 gallon - (1 quart + 1 pint + 1 ounce)

2) To add and subtract those amounts you have to convert all to one same unit.

3) Since the least unit is ounce, I will convert gallon, quart and pint to ounces.

4) Conversion factors:

1 gallon = 4 quart

1 quart = 2 pints

1 pint = 16 ounces

5) Conversions:

i) 1 gallon × 4 quart / gallon × 2 pint / quart × 16 ounce / pint = 128 ounces

ii) 1 quart × 2 pint / quart × 16 ounce / pint = 32 ounces

iii) 1 pint × 16 ounce / pint = 16ounces

4) Subtract:

1 gallon - (1 quart + 1 pint + 1 ounce) = 128 ounces - (32 ounces + 16 ounces + 1 ounce) = 128 ounces - 49 ounces = 79 ounces ← answer

You can convert it to a mixed number in this way:

79 ounces × 1 quart / 32 ounces = 2. 46875 quarts

0.46875 quarts × 32 ounces / quart = 15 ounces

Then, 79 ounces = 2 quarts and 15 ounces.

Answer:

y=1/10C-23/8x

Step-by-step explanation:

Linear Equation:

Ax+By=C

Slope Intercept Form:

y=mx+b

So, the linear equation is the following;

28.75x+10y=C

Now, to change it into slope intercept form you must get 'y' alone;

28.75x+10y=C

-28.75x         -28.75x            

_________________

10y=C-28.75x                        

10y/10=C/10-28.75x/10

y=1/10C-23/8x

The solution is Option B.

The balance amount at the second month is $ 2,739.11

What is Annual Percentage Yield?

The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.

Given data ,

Let the initial amount be represented as A

The value of A = $ 2,675

Now , the annual percentage rate is given by r

The value of r = 15.75 %

So , the rate r in monthly basis is given by

Rate R = annual percentage rate / 12

Substituting the values in the equation , we get

Rate R = 15.75 / 12

Rate R = 1.3125 %

Now , the late fee of the credit card = $ 29.00

So , the amount balance at the end of second month = ( initial amount + Rate R x  initial amount + late fee )

Substituting the values in the equation , we get

Amount balance at the end of second month = ( 2675 + ( 1.3125/100 ) x 2675 + 29 )

Amount balance at the end of second month = 2675 + 35.109 + 29

Amount balance at the end of second month = $ 2,739.109

Amount balance at the end of second month = $ 2,739.11

Therefore , the final balance amount is $ 2,739.11

Hence , The balance amount at the second month is $ 2,739.11

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Answer:

b. $2,739.11. You have $2,675.00 on a credit card with a 15.75% APR. You miss your minimum payment and there is a late fee of $29.00. Your balance at the beginning of the second month is $2,739.11.

Step-by-step explanation: