During one week as the holidays neared, Shaniah made several changes to her bank account.
She made six withdrawals of $40 each from an ATM.
She also used her check card for a $182 grocery purchase.
Shaniah then deposited her paycheck of $519.
By how much did the amount in her bank account change during that week?
Responses
A $97 decrease
B $117 increase
C $97 increase
D $941 decrease
The total withdrawals from the ATM were 6 x $40 = $240.
The total of the grocery purchase and ATM withdrawals was $240 + $182 = $422.
After depositing her paycheck, her account increased by $519.
Therefore, the net change in her account would be $519 - $422 = $97 increase.
So, the correct answer is: C) $97 increase
The probabilities of several events are shown in the table.
Move a description of likelihood into each row to BEST describe the corresponding event.
Event Probability Likelihood of the Event
The number 5 ranked college football team beats an unranked opponent.
7/8
Response area
A randomly-selected person is left-handed.
1/10
Response area
The sum of an even number and an odd number is an odd number.
1
Response area
The team party is at a bowling alley rather than a putt-putt golf course.
5/9
Response area
The sum of two fair number cubes each numbered 1 to 6 is 13.
0
Response area
A fair coin lands on tails.
1/2
response area
responses
unlikely
not likely or unlikely
certain
likely
impossible
Event: The number 5 ranked college football team beats an unranked opponent.
Probability: 7/8
Likelihood of the Event: Likely
Event: A randomly-selected person is left-handed.
Probability: 1/10
Likelihood of the Event: Unlikely
Event: The sum of an even number and an odd number is an odd number.
Probability: 1
Likelihood of the Event: Certain
Event: The team party is at a bowling alley rather than a putt-putt golf course.
Probability: 5/9
Likelihood of the Event: Likely
Event: The sum of two fair number cubes each numbered 1 to 6 is 13.
Probability: 0
Likelihood of the Event: Impossible
Event: A fair coin lands on tails.
Probability: 1/2
Likelihood of the Event: Likely
Dr. Rollins is both an anthropologist and archeologist. While excavating some ruins in South America, he discovered a scale drawing of a replica of a Mayan pyramid.
The scale for the drawing to the replica was 1 inch : 2 feet.
The scale for the replica to the actual pyramid was 1 foot : 14 feet.
If the height of the pyramid on the drawing was
inches, what was the height of the actual pyramid?
Responses
A 196 feet196 feet
B 98 feet98 feet
C 49 feet49 feet
D 91 feet
To find the height of the actual pyramid from the given scale drawings, we need to convert the measurements:
1 inch on the drawing is equivalent to 2 feet on the replica.
Since the height of the pyramid on the drawing is x inches, the height of the pyramid on the replica would be 2x feet.
1 foot on the replica is equivalent to 14 feet on the actual pyramid.
Thus, if the height of the pyramid on the replica is 2x feet, the height of the actual pyramid would be 2x * 14 = 28x feet.
Given that the height of the pyramid on the drawing is x inches, we need to find the value of x first.
So, the height of the actual pyramid would be 28x feet.
Let's find the value of x:
From the first scale, 1 inch is equivalent to 2 feet. Therefore, 1 inch on the drawing is equivalent to 2 feet.
1 inch = 2 feet
x inches = 2x feet (height on the replica)
From the second scale:
In the replica, 1 foot is equivalent to 14 feet.
Therefore, 2x feet on the replica would be 2x * 14 = 28x feet on the actual pyramid.
Therefore, the height of the actual pyramid would be 28x feet.
As we were not given a specific value for x in the question, it is not possible to determine an exact numerical value for the height of the actual pyramid with the given information. The correct response would be that the height of the actual pyramid would be 28x feet where x represents the height in inches on the drawing.
choose one of the answer choices
The correct answer choice would be missing in the previous responses. Let's solve the calculation:
From the previous calculations, we determined that the height of the actual pyramid would be 28x feet, where x represents the height in inches on the drawing.
For example, if the height of the pyramid on the drawing is 7 inches:
The height of the actual pyramid would be 28*7 = 196 feet.
Therefore, the correct answer is:
A. 196 feet
Farmer's Fred's lawn mower is broken, so he put his goat in his front yard on a stake that pivots 360°. The length of the rope from the stake to the goat's collar is 8 feet.
If the stake is the center of the circular area of yard available for the goat to eat grass, what is the area of the yard available for the goat to eat grass, to the nearest whole square foot?
Responses
A 50 ft2
B 25 ft2
C 201 ft2
D 804 ft2
The area available for the goat to eat grass is a circle with the stake being the center and the length of the rope being the radius. Given that the length of the rope is 8 feet, the radius of the circular area is also 8 feet.
The formula to calculate the area of a circle is A = πr^2, where A is the area and r is the radius.
Substitute the radius r = 8 feet into the formula:
A = π(8)^2
A = π(64)
A ≈ 3.14159 * 64
A ≈ 200.96 square feet
Rounded to the nearest whole square foot, the area available for the goat to eat grass is approximately:
200 square feet
The correct response is:
C) 201 ft2
Atenea has 2 5/6 pounds of trail mix. She makes seven 1/3 -pound snack bags with the trail mix for her daily snack for the next week and gives the rest of the trail mix to her brother. How much trail mix does Atenea give to her brother?
Responses
A 1/3 pound
B 1 2/3 pound
C 2 1/2 pounds
D 1/2 pound