Answer:
25
Step-by-step explanation:
So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.
So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"
So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145
So we can substitute the variables we defined to express Cameron and Hassan's age: 
Distribute the 5: 
Add like terms: 
Subtract 1 from both sides: 
Divide both sides by 6: 
Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25
Answer:
The price after the discount would be $315.
Answer:
Well, in reality, all circles are similar to each other. They will all have the same angles, and they don't really have side lengths. So, they are similar.
But to PROVE they are similar, we will transform Circle C to match circle E.
Circle C has a center at (-3, 1), and Circle E has a center of (4, 9). For Circle C to have the same center as Circle E, we will translate Circle C 7 units to the right, and 8 units up.
Since Circle C has a radius of 4, and Circle E has a radius of 3, dilate Circle C by a factor of 3/4. That way, the radius is 3 units as well.
And there you go! The two circles will map perfectly on top of each other.
Hope this helps!
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.
<h3>What is simple interest?</h3>
Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
SI = (P × R × T)/100
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The principal at the end of 3 years is,
Principal after 3 years = P + (P × R × T)
= $200 + ($200 × 0.08 × 3)
= $200 + $48
= $248
Hence, the principal at the end of 3 years is $248.
Learn more about Simple Interest:
brainly.com/question/2793278
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Answer:
x=3
Explanation:
First what you do is move x to one side and the rest of the numbers to another while changing the sign from + to - or - to + like this
6x+4x= 1+-21+50
Then you do the equation on 1 side
6x+4x=30
And then the other but add them like x is not there
10x=30
Your final result should be
X=3