Ralph spends 15 1/3 hours per month playing tennis. How many hours does he play tennis in a year? (There are twelve months in a year.)a. 182 2/3
b. 164
c. 184
d. 164 1/3
Answers
= 46/3 hours
Number of months in a year = 12 months
Then
The total number of hours that Ralph spends playing tennis = (46/3) * 12 hours
= 46 * 4 hours
= 184 hours
So from the above deduction we can see that the total time spent by Ralph in playing tennis in a year is 184 hours. So the correct option among all the options given in the question is option "c". I hope the procedure is clear enough for you to understand.
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How does the concept of trust relate to debt?
Simplify the expression (2x − 9)(x + 6).
A painter built a ladder using 18 rungs. The rungs on the ladder were 5.7 inches apart and 1.1 inches thick. What is the distance from the bottom of the lowest rung to the top of the highest rung?
Answers
Answer:
Step-by-step explanation:
0.2
Total number of students: 90
Total number of students who were cast: 1/3 x x 90 = 30
Number of students who got a major role: 6
Fraction of students who got a major role: 6/30
Fraction of students who got a major role: 1/5
1/5 as a decimal is 0.2
So in conclusion, the fraction of students who were cast and got major roles is 1/5 and the answer as a decimal is 0.2!
conjunction
disjunction
negation
conditional
Answers
Answer:
The term that best describes the given statement is given by the last option i.e.
Conditional .
Step-by-step explanation:
We are given a statement:
If a polygon has eight sides, then it is an octagon.
We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.
It could also be symbolized as:
If p then q
where p is the hypothesis and q is the conclusion.
Hence, the term that describes this given statement is:
Conditional.
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.
Answers
The value of n in the given expression is -15
What is an expression?
Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
For example : - 3y+4, 8u+8, 9i+5, a+2, a+c etc.
Given that, an expression, 9(n+3) =7n-3, we need to find the value of n
Solving for n,
9(n+3) =7n-3
Using distributive property,
9n + 27 = 7n -3
Combining like terms, by transposing,
9n - 7n = -3-27
2n = -30
Diving by 2 both sides
n = -15
Hence, the value of n in the given expression is -15
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2n + 27 = -3
2n = -30
n = -15
Answers
Given:
The two points are (-2,3) and (-4,-2).
To find:
The gradient of the line segment between the given points.
Solution:
The gradient is also known as slope.
The slope formula:
The endpoints of the line segment are (-2,3) and (-4,-2). So, the gradient of the line is
Therefore, the gradient of the given line segment is .
Answers
Answer:
7x - 5y = 3
Step-by-step explanation:
The Standard Form formula is Ax + By = C, however, technically A should not be negative, and since the original is already written in an usually accepted version of Standard Form, I would assume you would just want to multiply the entire equation by -1 making the A a positive number.
Answers
2 goes into 12 6 times so,
5 × 6 =30
the cost of 12 sweets is 30p
The answer will be 30