Answer: the number of multiple-choice questions in the math test is 35 and the number of open-ended questions in the math test is 3
Step-by-step explanation:
Let x represent the number of multiple-choice questions in the math test.
Let y represent the number of open-ended questions in the math test.
The math test has 38 questions. It means that
x + y = 38
This test consists of multiple-choice questions worth 4 points each and open-ended questions worth 20 points each. The total number of points is 200. It means that
4x + 20y = 200 - - - - - - - - - -1
Substituting x = 38 - y into equation 1, it becomes
4(38 - y) + 20y = 200
152 - 4y + 20y = 200
- 4y + 20y = 200 - 152
16y = 48
48/16
y = 3
Substituting y = 3 into x = 38 - y, it becomes
x = 38 - 3 = 35
Answer:
tenth place= 5
hundredth= 8
Step-by-step explanation:
tenth is 5 since 5÷10=0.5
Answer:
$6750 in the bank account and $20,250 in the stock fund
Step-by-step explanation:
If B is the money they put in the bank and S is the amount they put in the stock fund, then:
B + S = 27000
1.024 B + 1.072 S = 1.06 × 27000
Solving the system of equations:
1.024 (27000 − S) + 1.072 S = 28620
27648 − 1.024 S + 1.072 S = 28620
0.048 S = 972
S = 20250
B = 27000 − S
B = 6750
They should put $6750 in the bank account and $20,250 in the stock fund.
Answer:
2800
Step-by-step explanation:
2826 to the nearest hundred is 2800
Answer:
33.3cm²
Step-by-step explanation:
9 multiplied by 3.7 is equal to 33.3cm²
