Answer:
here is the step
Step-by-step explanation:
2x-x= -2-1
X= -3
Answer: an adult ticket cost $8 and a student ticket cost $4
Step-by-step explanation:
Let x represent the cost of one student ticket.
Let y represent the cost of one adult ticket.
A drama club earns $1040 from a production. It sells a total of 64 adult tickets and 132 student tickets. It means that
132x + 64y = 1040 - - - - - - - - - -1
An adult ticket costs twice as much as a student ticket. It means that
y = 2x
Substituting y = 2x into equation 1, it becomes
132x + 64 × 2x = 1040
132x + 128x = 1040
260x = 1040
x = 1040/260 = 4
y = 2x = 2 × 4
y = 8
Answer:
you solve these by plugging the numbers into pythagorean theorem which is
a^2 + b^2 = c^2 (a squared plus b squared equal c squared)
C is the hypotenuse which is the longest side across from the right angel (assuming all these problems are for right triangles)
so 17 would be 9.5^2 + 3.8^2 = c^2
So 90.25 + 14.44 = c^2
104.69=c^2
Then to solve for c take the square root of each side and get
10.23=c
To do the other ones where a or b doesn’t have a value, it’s almost the same but you just have to plug in the variables in different places and solve it
Step-by-step explanation:
Answer:
1).
2).
Step-by-step explanation:
Here the given equation is 
We have to factor the perfect square trinomial on the left side of the equation
So left side of the equation is 
= 
since [(a+b)²= a²+b²+2ab]
Therefore the factorial form of the equation will be

Now we have to solve the equation by applying square root property


Answer:
I will answer in a general way because the options are not given.
We know that the area of model A is smaller than the area of model B.
For model A, we have 72 shaded sections, out of 100.
Then the quotient of model A is:
72/100 = 0.72
For model B we have 10 sections, and x shaded ones.
Because model B is greater than model A, we know that:
x/10 should be larger than 72/100
then we have the inequality:
x/10 > 0.72
x > 0.72*10
x > 7.2
And we can not have more than 10 shaded sections (because there is a total of 10 sections) then:
10 ≥ x > 7.2
Then x can be any whole number in that interval.
the possible values of x are:
x = 8
x = 9
x = 10