Use proportional relationships unit test- 7th-grade Connexus Academy (please type answer as question number-question answer. except for the last two. On the last two type answer then how to solve it)
1. Select 2 fractions that are equivalent to 1/5
A. 25/125
B. 10/5
C. 5/25
D. 10/20
2. What is the exponent?
15/2=75/x
3. If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates will be in 5 boxes.
4. how many feet is 16 yards if you use 3 feet = 1 yard?
5. (use the conversion 1 liter = 1,000 millimeters) A cylinder holds 6750 millimeters. How many liters does it hold?
A. 6,750,000
B.6.75
C. 67.5
D. 7,750
6. (use the conversion ratio 1 kilometer = 0.62 miles) An airplane travels about 900 kilometers per hour. what is the airplane speed in miles per hour?
A. 899.38
B. 1240
C. 558
D. 1451.6
7. Chole deposits $2000 in a money market account. The bank offers a simple interest rate of 1.2%. How much interest will she earn in 10 years?
8. Sarah has a coupon for 25% off of any item at the Big Fish Store. If she buys any item regularly marked $60 what is her sale price?
A. $150
B. $2.40
C. $15
D. $45
9. The rent in an apartment building was increased from $425 to $467.50. What was the percent of increase?
A. 111%
B. 9%
C. 91%
D. 10%
10. The national average cost for gas in the year 2000 was $1.51 a gallon. Currently, the average for a gallon of gas is $3.57. What is the percent of change?
A. 150% increase
B. 136% increase
C. 77% increase
D. 120% increase
11. Mia and Robert signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mia and Robert finish the race in 53 minutes. What is the percent error? (Round to the nearest tenth.)
12. Martha is buying two shirts that each cost $20. at a local store. She is considering two options to purchase the shirts.
Option A: Use the store sale- buy one shirt and get a second shirt at 50% off the original price.
Option B: Use a coupon for 30% off the entire purchase.
Martha will also pay 7% tax on her purchase.
Which option will cost less money? (explain)
13. Lindsy bought 3 shirts for $15 each. if the sales tax is 7% what is the final cost including tax? (explain)
1. A
2. 2
3. 100
4. 48
5. C (6.75)
6. C (558)
7. $240
8. D ($45)
9. B (9%)
10. A (150% increase)
11. 11.3%
12. Option B will cost less money. To calculate the cost for both options, we can use the formula: cost = (price - discount) + tax.
Option A: cost = (20 - (0.5*20)) + (0.07*(20 - (0.5*20))), and Option B: cost = (0.7*20) + (0.07*(0.7*20)). Calculate the costs for both options and compare.
13. The final cost including tax is $15 + (0.07*15). Calculate to find the final cost.
question 1 needs two correct answers
Apologies for the error. The correct answer for question 1 should be A (25/125) and D (10/20).
in the second question you are solving for x to make them equivalent
Apologies for the confusion. To solve the equation 15/2 = 75/x, we can cross-multiply and solve for x:
15x = 2 * 75
15x = 150
x = 150/15
x = 10
Therefore, the value of x that makes the equation equivalent is 10.
$15 + (0.07x15)
pls answer i have 20 minutes to submit test
Apologies for the confusion. To calculate the final cost including tax, we need to multiply the shirt price ($15) by the sales tax rate (0.07), and then add the result to the original price:
Final cost including tax = $15 + (0.07 * $15)
Final cost including tax = $15 + $1.05
Final cost including tax = $16.05
Therefore, the final cost of the 3 shirts including tax is $16.05.
i missed part of the last question.
lindsey has 50 dollars. how much change will she have if she buys 3 shirts. explain
If Lindsey has $50 and she buys 3 shirts for $15 each, we can calculate the total cost of the shirts by multiplying the price of each shirt by the number of shirts:
Total cost of shirts = $15 * 3
Total cost of shirts = $45
To find the change that Lindsey will have, we need to subtract the total cost of the shirts from the amount of money she has:
Change = $50 - $45
Change = $5
Therefore, Lindsey will have $5 in change after buying the 3 shirts.