There are 18 questions on the test. Each question is worth either four or five points. The total is 80 points. How many questions of each type are on the test?
Answers
Answer: the number of four point questions in the test is 10.
the number of five point questions in the test 8
Step-by-step explanation:
Let x represent the number of four point questions in the test.
Let y represent the number of five point questions in the test.
There are 18 questions on the test. It means that
x + y = 18
Each question is worth either four or five points. The total is 80 points. This means that
4x + 5y = 80 - - - - - - - - - - - - - -1
Substituting x = 18 - y into equation 1, it becomes
4(18 - y) + 5y = 80
72 - 4y + 5y = 80
- 4y + 5y = 80 - 72
y = 8
x = 18 - y = 18 - 8
x = 10
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A student earns $7.50 per hour at her part-time job. She wants to earn at least $200.Enter an inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal.Enter the least whole number of hours the student needs to work in order to earn at least $200
A. 123.9 m²
B. 12.4 m²
C. 61.9 m²
D. 49.5 m²
Answers
Explanation: 54° is a half of the inner angle of the pentagon. The interior angles of a pentagon add up to 540°. Each angle is 108°.
Finally: A=
Answer: C) 61.9 m²
Answer:
61.9
Step-by-step explanation:
center center is 72 degree for each triangle
the distance of center to the side h=3/tan 36=4.12,
area=5* (4.12*6)/2=61.94==61.9
Answers
Answer:
10 1/2
Step-by-step explanation:
white : red
2 : 3
1 : 3/ 2
7 : 3/2 ×7
7 : 10.5
7 : 10 1/2
option 3 is the answer
Greetings from Brasil...
Let's apply rule of 3....
WP RP
3 -------- 2
7 -------- X
3 · X = 7 · 2
3X = 14
X = 14/3
remember that
14/3 = 4 2/3
So, 7 WP = 4 2/3 RP
................................................
D | d
R Q
so
D/d = Q R/d
Answers
The required proportion value is 2.98 which is equal to one-tenth of 29.8.
Given that,
To determine 29.8 is 10 times as much as a number.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmeticoperators, addition, subtraction, multiplication and division,
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
According to the question.
29.8 = x10
x = 29.8 / 10x
x = 2.98
Thus, the required proportion value is 2.98 which is equal to one-tenth of 29.8.
Learn more about arithmetic here:
#SPJ2
Answer:
298
Step-by-step explanation:
29.8 is 10 times as much as 298
Answers
You could've got this answer by:
-Checking which number spot was tenth; the first number after the decimal is.
-Checking the number to the right of it; which was 8.
If the number is higher than 5, round up. If it's lower than 4, round down.
Answers
Then, 3/5 = h/4.9
h = (3 x 4.9)/5 = 2.94
Therefore, the height of the Alter Stone is 2.94 meters
Answers
Answer:
To figure out which loan has the lower total cost, we need to calculate the total repayment amount for both loans.
The formula to calculate the monthly payment for a loan is:
P = [r*PV] / [1 - (1 + r)^-n]
where:
P is the monthly payment
r is the monthly interest rate (annual rate / 12)
PV is the present value, i.e., the loan amount
n is the number of payments (months)
For the first loan:
r = 4% / 12 = 0.00333 (approximately)
n = 10 years * 12 = 120 months
PV = $50,000
Plugging these numbers into the formula, we get the monthly payment for the first loan.
For the second loan, we do the same calculation, but with r = 3% / 12 and n = 20 * 12.
After we have the monthly payments, we multiply each by the total number of payments (n) to get the total repayment amount for each loan. The loan with the lower total repayment amount is the one Connor should select.
I hope that helps
Answer:
Connor should select the 10-year loan because it has a lower total cost than the 20-year loan.
Step-by-step explanation: To calculate the total cost of each loan, first find the monthly payment of the loans. Use the formula below to find the monthly payments, where P is the monthly payment, L is the principal amount of the loan, i is the interest rate, and n is the duration of the loan.
P=L×i1−(1+i)−n
The loan amount needed, L, is $50,000 for both loans. Since the interest rate is compounded monthly, the interest rate offered is 4% per year or 0.0412 per month. The time period is 10 years or 120 months. Substituting the values into the formula and converting the interest rate to the monthly rate yields the following.
PP=50,000×0.04121−(1+0.0412)−120≈$506.23
Multiply the monthly payment by the number of months in the loan, 120, to determine the total cost of the loan.
$506.23×120=$60,747.60
Now calculate the monthly cost of the 20-year loan.
PP=50,000×0.03121−(1+0.0312)−240≈$277.30
$277.30×240=$66,552
Since the total cost of the 10-year loan, $60,747.60, is less than the total cost of the 20-year loan, $66,552, Connor should select the 10-year loan.
Your answer:
Connor should select the 20-year loan because it costs less than the 10-year loan.
The 20-year loan has a total cost of $66,552 while the 10-year loan has a total cost of $60,747.60.