Which expression is equivalent to 3 (4 + 5) - 2 × 62
12 + 6412 + 64
3(9) - 2 × 363(9) - 2 × 36
2
17 - 12
27 - 2 × 12
ty
27 - 2 x 12
A grocery clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of flour tortillas to the number of packages on the shelf was 5 to 9. Which number could be the number of packages of corn tortillas the clerk put on the shelf?
14
18
23
32
If the ratio of flour tortillas to the total number of packages is 5 to 9, then the ratio of corn tortillas to the total packages is 9 to 5 (since there are only 2 types of packages). This can be simplified to 18 to 10, or 9 to 5 when divided by 2.
So for every 9 packages on the shelf, 5 are corn tortillas.
If we let "x" be the number of corn tortilla packages on the shelf, then we can set up the following equation:
5 = (5/9) x
Solving for x:
x = 9
Therefore, the clerk put 9 packages of corn tortillas on the shelf.
Answer: 9.
no the choices are
14
18
23
32
If the ratio of flour tortillas to the total number of packages is 5 to 9, then the ratio of corn tortillas to the total packages is 9 to 5 (since there are only 2 types of packages). This can be simplified to 18 to 10, or 9 to 5 when divided by 2.
So for every 9 packages on the shelf, 5 are corn tortillas.
Let "x" be the total number of packages on the shelf. Then:
5/9 * x = number of flour tortilla packages on the shelf
9/9 * x = number of total packages on the shelf
Simplifying:
5/9 * x = number of flour tortilla packages on the shelf
x = number of total packages on the shelf
We can set up the following equation to solve for the number of corn tortilla packages on the shelf:
x - (5/9 * x) = number of corn tortilla packages on the shelf
Simplifying:
4/9 * x = number of corn tortilla packages on the shelf
Now we can substitute the answer choices to see which one satisfies the equation:
For 14:
4/9 * 14 = 6.22
For 18:
4/9 * 18 = 8
For 23:
4/9 * 23 = 10.22
For 32:
4/9 * 32 = 14.22
Only 18 satisfies the equation as it is a whole number.
Therefore, the clerk put 18 packages of corn tortillas on the shelf.
Answer: 18.
What's the value of 5|6➗15|16
1. 25|32
2. 2|5
3. 8|9
4. 3|10
We can simplify the expression using the order of operations (PEMDAS) as follows:
1. Perform the division inside the parentheses: 6 ÷ 15 = 2/5
2. Perform the absolute value operation: |2/5| = 2/5
3. Perform the multiplication outside the absolute value: 5 × 2/5 = 2
4. Perform the absolute value operation: |2| = 2
5. Perform the division: 2 ÷ 16 = 1/8
Therefore, the value of the expression is 1/8, which can be written as the fraction 1|8 in mixed number form.
Answer: 4. 3|10 (Note: 1|8 is equivalent to 3|24, which is closest to 3|10 in the answer choices.)
On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
273
81
27
219
To solve the problem, we can do the following:
1. Find the number of customers who made additional purchases out of every 100 customers who bought gas:
27% = 27/100
2. Use the percentage in step 1 to find the number of customers who made additional purchases out of the total number of customers who bought gas:
27/100 x 300 = 81
Therefore, out of the 300 customers who bought gas, 81 made additional purchases.
Answer: 81.