Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
Answer:
The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>
Step-by-step explanation:
Given : the difference of the squares of the numbers is 5 and the product of the numbers is 6.
We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

Since, given the difference of the squares of the numbers is 5 that is 
And the product of the numbers is 6 that is 
Using identity, we have,

Substitute, we have,

Simplify, we have,


Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169
Answer:
5/6
Step-by-step explanation:
Step 1: Rewrite 9/18
9/18 = 1/2
Step 2: Rewrite problem
1/2 + 1/3
Step 3: Find GCD (Greatest common denominator)
6
Step 4: Rewrite fractions
3/6 + 2/6
Step 5: Add
5/6
Answer:
Gender is a categorical variable. The sum gives the total number of students in class.
Step-by-step explanation:
We are given the following in the question:
The variable Male, is categorical, even though its values are numbers.
Categorical variable:
- These variable are the non parametric variable.
- They do not need values to express the data.
- They only use number and numerical to express the data or represent the data.
- There is no relation with true value of numerical.
Thus, gender is a categorical variable. Numbers are only used to represent the data.
Numbers are just a representation.
The sum of these represent the total male and female students in class. Thus, the sum gives the total number of students in class.
Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8