Equivalent
Which number is equivalent to the fraction?
5÷9=0.5
what is 0.5
One apple costs $0.55 at the grocery store. Customers receive one free apple for every 8 apples that they buy. Anna paid a total of $8.80 for her apples.
How many free apples did Anna receive?
step 1 8.80/0.55=16
step 2 16/8=2
what is 2
Dana walks ¾ mile in ¼ hour.
What is Dana’s walking rate in miles per hour?
step 1 ¾ x 4
What is 3/1 or just 3.
1/2=5
what is 4 1/2
This is the sum of the interior angles of any triangle.
What is 180 degrees?
x+2=6
2x=8
2x÷8
what is 4
Jackson buys a new shirt. The shirt is 25% off of the original price. Jackson
pays a total of $11.34 for the shirt, which includes a sales tax of 8%.
What is the original price, in dollars, of the shirt?
step 1 1+ 0.08=1.08 y=11.34/1.08=10.50
step 2 -.75x = 10.50 x=10.50/0.75=14
what is 14
3x+5=17
3x=12
what is 4
12÷2/3x
what is 18
the area of this four-sided shape, you multiply the base by the height.
What is a rectangle
Which expression is equivalent to -3/4 x 7/-2 ÷ 3/8
Steps
step 1 -3/4 x 7/-2 ÷ 3/8
step 2 -3/4 x 7/-2 x 8/3
Step 3 (-3/4 x 8/3) x 7/-2
step 4(-1 x 2/1) x 7/-2 = -2x 7/-2
what is -2x 7/-2
Rafi has $48.00 to spend on games. Each game costs $3.00. He writes the expression shown to represent the amount of money he has after purchasing g games.48 – 3g He writes an equivalent expression as shown.3(16 – g) What does the number 16 represent in the equivalent expression?
A the total number of games Rafi can buy B- 13 of the number of games Rafi can buy C the amount of money Rafi has after buying g games D the amount of money Rafi has after buying 3 games
The answer is A. This is because 48/3 is 16 and that is how many games he can buy.
what is A
A furniture factory makes 250 tables each day.
Create an equation that can be used to find the total number of tables made, y, after x days.
The factory makes 250 tables each day.
After x days, total tables made is:
y = 250x
what is 250x
2x/4=6
what is 12
This is the specific term for the perimeter of a circle.
What is the circumference?
Which expression is equivalent to
3/5(5n – 12) -1/4(3n + 16)?
Steps
Step 1 3/5(5n) - 3/5(12) = 3n - 36/5
step 2 -1/4(3n) - 1/4(16)= - 3/4n - 4
step 3 (3n-3/4n)+(-36/5-4)
Step 4 3n-3/4n=21/4n
Step 5 -36/5-20/5=-56/5=-11 1/5
what is 2 1/4n - 11 1/5
A bowling alley charges x dollars per guest and a fixed $50 rental fee for parties. Which equation represents the total cost, y, for 9 guests? A y = 9x
B y = 9x + 41
C y = 9x + 50
D y = 50x + 9
The cost is: x dollars per guest
9 guests plus a fixed fee of $50
Cost for 9 guests: 9x ,Add the fixed fee: y = 9x + 50
what is C
Charmaine observes the number of times the 5:00 p.m. train is early, late, and on time. She records her observations of the train for 80 days in a row in the table shown. Early 23 times, Late 9 times, On Time 48 times Based on Charmaine’s data, how many trains are likely to be late over the next 400 days?
step 1 9/80 = 11.25
step 2 400x 9/80
step 3 5x9=45
what is 45
x/2+1/3=5
What is 9 1/3
When two lines cross, these "opposite" angles are always equal to each other.
What are vertical angles?
Rafi has $48.00 to spend on games. Each game costs $3.00. He writes the expression shown to represent the amount of money he has after purchasing g games.(48 – 3g) He writes an equivalent expression as shown.3(16 – g) What does the number 16 represent in the equivalent expression?
The answer is A. This is because 48/3 is 16 and that is how many games he can buy.
What is A
The box plot shows a comparison of the heights of gymnasts and basketball players. The mean absolute deviation for each group is approximately 2. How many mean absolute deviations describe the difference between the two medians?
The problem states that the MAD for each group is approximately 2. To find how many MADs describe the difference between the medians, we divide the difference by the MAD:
$$\frac{\text{Difference between Medians}}{\text{Mean Absolute Deviation}} = \frac{30}{2} = 15$$ Final Answer: what is 15 mean absolute deviations are describing the difference between the two medians.
A bowling alley charges x dollars per guest and a fixed $50 rental fee for parties. Which equation represents the total cost, y, for 9 guests? A y = 9x
B y = 9x + 41
C y = 9x + 50
D y = 50x + 9
The cost is: x dollars per guest
9 guests plus a fixed fee of $50
Cost for 9 guests: 9x ,Add the fixed fee: y = 9x + 50
what is C
Charmaine observes the number of times the 5:00 p.m. train is early, late, and on time. She records her observations of the train for 80 days in a row in the table shown. Early 23 times, Late 9 times, On Time 48 times. Based on Charmaine’s data, how many trains are likely to be late over the next 400 days?
step 1 9/80 = 11.25
Step 2 400x 9/80
step 3 5x9=45
What is 45?
This is the term for a line that crosses at least two other lines.
What is a transversal?