Answer:
26 times
Step-by-step explanation:
The question has missing details. However, the given parameters are
Given
Without Coupon
Bus Fare = $2.00
With Coupon
Coupon = $39.00
Bus Fare = $0.50
Represent the number of fares with x
Without Coupon, cost of fares is
Cost = 2x
i.e.
f(x) = 2x
With Coupon, cost of fares is
Cost = 39 + 0.5x
i.e.
g(x) = 39 + 0.5x
To calculate when both fares will be equal, we must have:
f(x) = g(x)
2x = 39 + 0.5x
Collect like terms
2x - 0.5x = 39
1.5x = 39
Solve for x
x = 39/1.5
x = 26
This implies that, for both cost to be equal, the person must go 26 times
Answer:
a x+2y =5
b x=1 y=2
Step-by-step explanation:
4x+3y = 10
So the cost of 1 banana is x and the cost of 1 peach is y
a) we want the cost of 1 banana and 2 peaches
1x+2y
That is equal to 5 dollars
1x+2y =5
x+2y =5
b
The matrixes are
1 2 x 5
* =
4 3 y 10
Using my calculator, x=1 y=2
Answer:
x = 816 kilometers per hour.
Step-by-step explanation:
Given the following data;
Distance traveled by Kirk = 450km
Distance traveled by Thor = 408 km
Let the average driving speed of Thor be x.
Translating the word problem into an algebraic equation;
k = x + 6
We know that the time taken to cover a distance by an object with speed is given by the formula;
Time = distance/speed
Substituting into the equation, we have;
408/x = 405/x + 6
Cross-multiplying, we have;
408*(x + 6) = 405*x
408x + 2448 = 405x
408x - 405x = 2448
3x = 2448
x = 2448/3
x = 816 kilometers per hour.
Answer: the top box can be the linear equation y=40x+15 and the bottom box is 40
Step-by-step explanation:
If you swim 15 more minutes than your friend and your swam 55 minutes, that means your friend only swam 40 minutes. The set amount of time that your friend swims for <em>x</em> is 40 minutes. So the additional time you swim is <em>b</em>, 15 minutes.
Answer:
![x = - 4 \: or \: x = - 14](https://tex.z-dn.net/?f=x%20%3D%20%20-%204%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%20-%2014)
Step-by-step explanation:
We have been given the equation
![(x + 9) {}^{2} = 25](https://tex.z-dn.net/?f=%28x%20%2B%209%29%20%7B%7D%5E%7B2%7D%20%20%3D%2025)
and we are asked to apply the square root property of equality to our given a equation and isolate the variable
First, take the square root of both sides of our equation
![\sqrt{(x + 9) {}^{2} } = \sqrt{25}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x%20%2B%209%29%20%7B%7D%5E%7B2%7D%20%7D%20%20%3D%20%20%5Csqrt%7B25%7D%20)
![x + 9 = \: 15](https://tex.z-dn.net/?f=x%20%2B%209%20%3D%20%20%5C%3A%2015)
![x + 9 = 5 \: or \: x + 9 = - 5](https://tex.z-dn.net/?f=x%20%2B%209%20%3D%205%20%5C%3A%20or%20%5C%3A%20x%20%2B%209%20%3D%20%20-%205)
![x + 9 - 9 = 5 - 9 \: or \: x + 9 - 9 = - 5 - 9](https://tex.z-dn.net/?f=x%20%2B%209%20-%209%20%3D%205%20-%209%20%5C%3A%20or%20%5C%3A%20x%20%2B%209%20-%209%20%3D%20%20-%205%20-%209)
![x = - 4 \: or \: x = - 14](https://tex.z-dn.net/?f=x%20%3D%20%20-%204%20%5C%3A%20or%20%5C%3A%20x%20%3D%20%20-%2014)
<em>THEREFORE, THERE ARE TWO SOLUTIONS FOR OUR GIVEN EQUATION</em>
<em>
</em>
<u><em>PLEASE</em><em> </em><em>MAKR</em><em> </em><em>ME</em><em> </em><em>BRAINLIEST</em><em> </em><em>IF</em><em> </em><em>YOU</em><em> </em><em>ARE</em><em> </em><em>HAPPY</em><em> </em><em>WITH</em><em> </em><em>THE</em><em> </em><em>ANSWER</em></u>