The distance from their house the Bensons' after 412 hours will be 18, 640 miles
<h3>What is a function?</h3>
A function is an expression or rule that explains the relationship between a dependent and independent variable.
Given the function;
d= 45 t + 100
Where;
- d is the total distance
- t is the time taken
If t = 412 hours
Substitute into the formula
d = 45 ( 412) + 100
d = 18540 + 100
d = 18, 640 miles
Thus, the distance from their house the Bensons' after 412 hours will be 18, 640 miles
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Answer:
The difference between 19 and 8 is 11.
Step-by-step explanation:
Given:
The difference between a number and 8 is 11
Find the number.
Solution:
Let the unknown number be 
The difference between the unknown number can be written as:

We are given that the difference =11
So we can write the equation to find
as :

Using additive property to solve for 
Adding 8 to both sides to isolate
on one side.

∴ 
∴ The unknown number = 19
(Top left) 1. 5 1/24
(Bottom left)2. 11 1/3
(Top right)3. 8 13/14
(Bottom Right)4. 20 29/35
Answer:
<em>The solution of the equation </em>
<em>( 0.4 ,-3)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<u><em>Step(i):</em></u>-
Given system of equations
10 x+3 y = −5 ...(i)
- 5 x - 4 y = 10 ...(ii)
Multiply (i) with '5'
10 × 5 x + 3×5 y = - 25
50 x + 15 y = 25 ...(iii)
Multiply (ii) with '10'
-5 × 10 x - 4×1 0 y = 100
- 50 x - 40 y =100 ...(iv)
<u><em>Step(ii)</em></u>:-
Solving (iii) and (iv)
50 x + 15 y =- 25
<u> - 50 x - 40 y =100</u>
- 25 y = 75
Dividing ' - 25' on both sides, we get
<em> y = -3</em>
<em>substitute y = -3 in equation (i) , we get</em>
<em> </em> 10 x+3 y = −5
10 x - 9 = - 5
10 x = -5 + 9

<em> x = 0.4 </em>
<u><em>Final answer</em></u>:-
<em>The solution of the equation ( 0.4 ,-3)</em>