There are 48 students studying a foreign language at the community college. If the only two foreign languages offered are French and Spanish, and 28 students are studying French, which of the following represents the ratio of students studying Spanish to the total number of foreign language students?

The gazebo has eight sides. 8 × 5.5 = 44

Step 1: Determine Which Formula to Use
Since we are given Celsius and are solving for Fahrenheit we will use the following formula:
(°C × 1.8) + 32 = °F
This formula shows that we got degrees Celsius and we are solving for degrees Fahrenheit.
Step 2: Substitute In Our Temperature
We are going to use the formula from Step 1, but insert the temperature we were given from our problem, in this case, 21.4 °C.
(21.4 °C × 1.8) + 32 = °F
Step 3: Solve Using Order of Operations
In going through PEMDAS, the order of operations, we first do what happens within the parentheses which is:
(21.4 °C × 1.8)
So this is what happens:
(21.4 °C × 1.8) + 32 = °F
Becomes:
38.52 + 32 = °F
We could drop the parentheses since we completed whatever was inside of them.
Now we can solve the problem.
38.52 + 32 = °F
Which becomes:
70.52 = °F
70.52 °F

We convert from gallons to quarts by multiplying the number of gallons by 4 because:
1 gal = 4 qt
So we have :
7 gal × 4 qt/gal = 28 qt
We convert from quarts to pints by multiplying the number of quarts by 2 because:
1 qt = 2 pt
So we have :
28 qt × 2 pt/qt = 56 pt
We convert from pints to cups by multiplying the number of pints by 2 because:
1 pt = 2 cups
So we have :
56 pt × 2 cups/pt = 112 cups
We convert from cups to ounces by multiplying the number of cups by 8 because:
1 cup = 8 oz
So we have :
112 cups × 8 oz/cups = 896 oz
Therefore 7 gallons is equal to 896 ounces.

Consider the given inequality:
3x + 33 > −6x + 3
Add 6x on both sides:
3x + 33 + 6x > −6x + 6x + 3
9x +33 > 3
Subtract 33 on both sides:
9x > 3 − 33
9x > −30
Divide by 3 on both sides:
3x > −10

Think: If prices are reduced by 40%, then the customer is paying 60% of the original cost. This 60% is \$42 and we need to find the original price.
Let x be the original price of the article.
To develop a proportion for solving, say “60% is to 100% as \$42 is to x” and write that in proportion form: \( \frac{\mathrm{60} }{\mathrm{100}} = \frac{\mathrm{42} }{\mathrm{x}}\)
Cross-multiply to get a solvable equation: 60x=4200
Divide both sides by 60 to get 70. The original price was \$70.

We need to remember the order of operations (PEMDAS) to solve this question. First of all, we solve the problem inside the parentheses, and then the exponents. In this particular question, \(4^3\) is within the parentheses so we solve it first.
\(4^3 = 64\)
Now, multiplying it by 2 to solve what is inside the parentheses, it becomes \(64 × 2 = 128\).
So, the expression becomes \(3 × 128 ÷ 4\).
Following PEMDAS, we multiply 128 by 3 and then divide the answer by 4.
This gives us \(384 ÷ 4 = 96\).

Step 1: Interpret the question
To find the average in this scenario, we need to take the ratio of the total cost of the fruits and vegetables to the total number of pounds of them. Therefore, we have a division relationship between the total cost and the total number of pounds.
The total cost of the fruits and vegetables will be the sum of their costs.
Total cost:
5.85 + 9
The total number of pounds of fruits and vegetables will be the sum of their weights.
The total number of pounds:
3.2 + 2.7
To get the average cost per pound for the fruits and vegetables, we divide the 2 totals.
Average cost per pound= (Total cost) ÷ (Total number of pounds)
Step 2: Round our numbers
We have to round some of these numbers before we add them together. The numbers 5.85 and 2.7 will need to be rounded.
5.85 will be rounded to the nearest one's place.
Let’s round 5.85.
We underline the place value we are rounding to:
5.85
When we look to the right of the 5 we see an 8, which tells us the underlined digit goes up by one. So, 5 goes to 6.
Everything to the right of 6 turns to 0.
6.00
Since the zero after the decimal has no value we can get rid of it.
5.85 rounds to 6.
2.7 will also be rounded to the nearest one's place.
Let’s round 2.7.
We underline the place value we are rounding to:
2.7
When we look to the right of the 2 we see a 7, which tells us the underlined digit goes up by one. So, 2 goes to 3.
Everything to the right of 3 turns to 0.
3.0
Since the zero after the decimal has no value we can get rid of it.
2.7 rounds to 3.
Step 3: Solve
First, find the total cost of the fruits and vegetables.
6 + 9 = 15
So, the total cost of the fruits and vegetables is $15.
Next, find the total weight of the fruits and vegetables.
3 + 3 = 6
So, the total weight of the fruits and vegetables is 6 pounds.
Finally, we get the average cost per pound of the fruits and vegetables by dividing the total cost by the number of pounds.
15 ÷ 6 = 2.5
So, the average cost per pound for the fruits and vegetables is $2.50.

The number of people on Tuesday is 345. Every day the number of people triples. On Wednesday, it becomes 3 × 345 = 1035.
On Thursday, the number of people who came to this convention became 3 × 1035 = 3105.
On Friday, the number of people who came to this convention became 3 × 3105 = 9315.

The prefix “milli—” means one-thousandth. A millimeter is one-thousandth of a meter, which means there are 1,000 millimeters in 1 meter. So there must be 15,000 millimeters in 15 meters.

The ratio of solute to solution is 1:5.
Write a proportion and solve.
Let the grams of solute should be used be "x", plug in the ratio above we have:
\( \frac{\mathrm{1} }{\mathrm{5} } = \frac{\mathrm{x} }{\mathrm{90} }\)
\(x = \frac{\mathrm{1} }{\mathrm{90} } = \frac{\mathrm{x} }{\mathrm{5} }\)
\(x = 18\)

300 ÷ 12 = 25
Test each answer choice to see if it equals 25.
2(150 − 6) = 2(144) = 288 ≠ 25
(300 ÷ 4) ÷ 6 = 75 ÷ 6 = 12.5 ≠ 25
(120 ÷ 6) + (180 ÷ 6) = 20 + 30 = 50 ≠ 25
(120 ÷ 12) + (180 ÷ 12) = (10) + (15) = 25

Step 1: Remember Your Rounding Rules
1. Underline the place value you are rounding to.
2. Look to the right of the number you have underlined.
3. If you see a 5-9, the underlined digit goes up by 1.
4. If you see a 0-4, the underlined digit stays the same.
5. Anything to the right of the underlined digit turns to 0.
6. Anything to the left of the underlined digit usually stays the same (unless a 9 was rounded up)
Step 2: Check Out Each Answer Choice To Determine Which Was Rounded Correctly and is the largest number
Answer choice: 153.62
Underline 3 to round the number to the nearest whole number.
153.62
Since the number to the right of 3 is 6, 3 goes up to 4. Any number to the right of 4 turns to 0 and any number to the left stays the same.
154.00
153.62 does round to 154 but must be compared to the other answer choices to see if it is the largest number that rounds to 154.
Answer choice: 154.52
Underline 4 to round the number to the nearest whole number.
154.52
Since the number to the right of 4 is 5, 4 goes up to 5. Any number to the right of 5 turns to 0 and any number to the left stays the same.
155.00
To the nearest whole number, 154.52 rounds to 155, not 154 so, this answer choice is not correct.
Answer choice: 153.61
Underline 3 to round the number to the nearest whole number.
153.61
Since the number to the right of 3 is 6, 3 goes up to 4. Any number to the right of 4 turns to 0 and any number to the left stays the same.
154.00
153.61 does round to 154 but must be compared to the other answer choices to see if it is the largest number that rounds to 154.
Answer choice: 154.23
Underline 4 to round the number to the nearest whole number.
154.23
Since the number to the right of 4 is 2, 4 stays the same. Any number to the right of 4 turns to 0 and any number to the left stays the same.
154.00
154.23 does round to 154 but must be compared to the other answer choices to see if it is the largest number that rounds to 154.
Step 3: Compare the numbers in the answer choices that round to 154 to see which is the largest.
Comparing answers, we have 153.62 < 153.61< 154.23 – Therefore, 154.23 is the correct answer.

Substitute 5 for x:
4(5) ÷ (5 − 1) = 20 ÷ 4 = 5