A chocolate cake recipe calls for 12 fluid ounces of milk. If your measuring cup is not marked in fluid ounces, how many cups of milk will you add? (cups : fluid ounces = 1 : 8)

Answers

Answer 1

Answer: 1/2 or 1.5
if you divide 12 by the number of fluid ounces in a cup, you get a number of cups that will equal 12 fluid ounces

Check work:
simply do 1.5 times 8 which should equal 12

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Tim has four credit cards with the balances and APRs listed in the chart below. What will Tim's total monthly minimum creditcard payment need to be to pay off all four credit cards in 24 months?Credit CardBalanceAPR$1.260.0012%1896$900.00C $1.290.0016%$1,200.00a. $118.24
b. $162.62
c. $163.00
d. $221.93

Answers

Solving for the future values of the credit card balances:

1260(1 + 0.12/12)^24 = 1599.8656571502122308900(1 + 0.18/12)^24 = 1286.55253073612259711290(1 + 0.09/12)^24 = 1543.37345291648033351200(1 + 0.16/12)^24 = 1649.0625893406018547
Adding the future balances to obtain total bill:

1599.8656571502122308 + 1286.5525307361225971 + 1543.3734529164803335 + 1649.0625893406018547 = 6078.85
Solving for the annuity A (monthly payments for each account):

1599.87 = A [(((1 + 0.12/12)^24) - 1) / (0.12/12)] A = 59.31
1286.55 = A [(((1 + 0.18/12)^24) - 1) / (0.18/12)]A = 44.93
1543.37 = A [(((1 + 0.09/12)^24) - 1) / (0.09/12)]A = 58.93
1649.06 = A [(((1 + 0.16/12)^24) - 1) / (0.16/12)]A = 58.76
Adding the annuities together to obtain the minimum monthly payment:59.31 + 44.93 + 58.93 + 58.76 = 221.93

Therefore, the minimum monthly payment is $221.93. Among the choices, the answer is D.

Answer:

$221.93

Step-by-step explanation:

Car A began a journey from a point at 9 am, traveling at 30 mph. At 10 am car B started traveling from the same point at 40 mph in the same direction as car A. At what time will car B pass car A? PLEASE show work!

Answers

At 10 am, Car A is at 30 miles.

Then at 11 am, Car A is at 60 miles and Car B is at 40 miles

At 12 am, Car A is at 90 miles and Car B is at 80 miles

At 1 pm, Car A and B are tied for 120 miles

The very second after Car B passes Car A

Answer: 1:01 pm Car B Passes Car A

If the first term in an arithmetic sequence is 15 and the tenth term is 69. What is the fourth term in the sequence?

Answers

Hello,

$a_(0)=15$ first term
$a_(1)=15+r$ second term
$a_(2)=15+2r$ third term
...
$a_(9)=15+9r$ is the tenth term =69

15+9r=69
==>9r=69-15
==>r=54/9=6
$a_(3)=15+3r=15+18=33$

Prove the following theorem indirectly. We will give you a start. Prove that a triangle cannot have two right angles. A triangle cannot have two right angles. Suppose a triangle had two right angles.

Answers

A triangle that has no two right angles is called a scalene triangle. If the triangle has two right angles, it is called isosceles triangle. A triangle with equal sides is called an equilateral triangle.

Solve this inequality 8z+3-2z<51

Answers

8z - 2z < 51 - 3
6z < 48
z < 48/6
z < 8
Answer: z < 8

First, let's work on the left hand side of your inequality, the 8z+3-2z
This means, for instance, to see if it can be simplified at all.
Multiply z and 8Multiply z and 1The z just gets copied along.The answer is zz8*z evaluates to 8z8*z+3 evaluates to 8z+3Multiply z and 1The z just gets copied along.The answer is zz2*z evaluates to 2z8z - 2z = 6zThe answer is 6z+38*z+3-2*z evaluates to 6z+3So, all-in-all, the left hand side of your inequality can be written as:6z+3Now, let's work on the right hand side of your inequality, the 51
The right hand side of your inequality can be written as: 51So with these (any) simplifications, the inequality we'll set out to solve is:
6z+3 ‹ 51
Move the 3 to the right hand side by subtracting 3 from both sides, like this:
From the left hand side:
3 - 3 = 0The answer is 6zFrom the right hand side:
51 - 3 = 48
Now, the inequality reads:
6z ‹ 48
To isolate the z, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the z on the left side of the inequality.
The last step is to divide both sides of the inequality by 6 like this:
To divide z by 1The z just gets copied along in the numerator.The answer is z6z ÷ 6 = z48 ÷ 6 = 8The solution to your inequality is:
z ‹ 8 the answer is 48 Multiply z and 2

PLEASEEEE help answer!!Simplify the expression.

one half cubed − 2 ÷ square root of 64

negative fifteen sixty fourths

fifteen sixty fourths

negative one eighth

one eighth

Answers

The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

How to simplify the expression?

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth