Here, a ratio is provided: 14 inch on the map equals 10 miles, making 1 inch on the map equal to 40 miles. The real distance must be: 18 40 = 720 miles if the map-distance between the towns is 18 inches.
Heidi won't be wearing her brown boots today because she is working in the paint department.
We are informed, however, that she is not donning her black boots.
She must not be wearing boots because she only has one pair of black boots and one pair of brown footwear.
She always wears boots when snow is predicted, thus if she is not wearing them, snow was not predicted for today.
The nine pens cost (9)($1.10) each. Carla used a $20 cash to make her purchase, thus the difference between $20 and the price of the nine pens will be included in her change. Her change is therefore $20 - (9)($1.10).
Jason needs to take a total of six tablets daily. He will take the following if he takes all of his meds for 14 days:
(14)(6) = 84 pills
This total will drop by (3)(2) = 6 pills if he forgets to take the three type B pills twice. He will take: if he neglects to take his type B medications.
14 days, 84 - 6 = 78 tablets
Start by dividing the 3 and 5 into their corresponding parenthesis, then group like terms on each side of the equal sign:
3(x + 1) = 5(x − 2) + 7
3x + 3 = 5x − 10 + 7
3x + 3 = 5x − 3
To maintain equality, add 3 to both sides:
3x + 6 = 5x
To find x, subtract 3x from both sides, divide the resulting equation by 2, and then solve as follows:
6 = 2x
3 = x
Just keep in mind that whenever a variable is solved for in an equation, the calculated value may be confirmed by substituting it into the original equation and evaluating if it produces a valid statement.
Find the biggest digit in the tenths place to determine which of these four values is the greatest (the first place to the right of the decimal).
The number of yards must be multiplied by 36 (there are 36 inches in a yard) to convert to inches. 2 yards and 6 inches are equal to:
(2)(36) + 6 = 78
In terms of the second dimension:
(1.5)(36) = 54
The total number of crayons that are green or brown is 12 + 9 + 2 + 8 + 3 + 6 = 40. In Box B, the number of crayons that are green or brown is 9 + 3 = 12. Thus, percent of green or brown crayons in Box B is:
1240∗100%=30%
We must establish the weekly average for visits in order to respond to the question:
13+12+16+19+25+33+22⁄7
=140⁄7=20
How many days had a visitor count of over 20?
Fri = 25
Sat = 33
Sun = 22
The average of 20 visitors was exceeded by 3 days.
It makes appropriate to round to the nearest 100,000 feet based on the answer options:
6,135,000 = 6,100,000
2,851,000 = 2,900,000
Our combined estimates are as follows:
6,100,000 + 2,900,000 = 9,000,000 feet
He must have made a 30% error if he received 70% of the answers correctly. We can use 30 percent of 220 to:
30100∗220=66
Here, a ratio is provided: 14 inches on the map equals 10 miles, making 1 inch on the map equal to 40 miles. The real distance must be: 18 40 = 720 miles if the map distance between the towns is 18 inches.
The formula for the average of a set of numbers is the sum of the numbers divided by the number of terms:
Avg = 140 ÷ 7
Avg = 20
Avg = 210 ÷ 7
Avg = 30
Therefore, the sum must be between 20 and 30.
The numbers 3995 and 102 are rather close to 4000 and 100, respectively. It is then possible to write the estimated product as (4000)(100) = 400,000. (Note that there are 407,490 of the actual item.)
is undoubtedly conceivable
We may estimate that there are 56 multiple-choice questions because there are 75 total questions on the exam, 19 of which require a short response.
Let a be the typical amount of time spent on each multiple-choice question.
Let b be the typical amount of time spent on each short-answer question.
Given that the exam is scheduled to last 90 minutes in total:
a(56) + b(19) = 90
We can solve for a, the time needed to complete each multiple-choice question, using the above equation if we are given b, the time needed to complete each short-answer question.
