Answer:
18 inches and 9 inches
Step-by-step explanation:
Given, The base of a triangle is twice of the height.
Area = 81 sq inches
Let, Base (b) = 2x
Height (h) = x
Area of the triangle = \frac{1}{2}bh
\frac{1}{2}bh = 81
or, x^{2} = 8
Base = 2×9 inches = 18 inches
Height = 9 inches
Make an equation system based on the problem
eg. a is the first number and b is the seond number
An equation for "<span>The sum of two numbers is 53" is
</span>⇒ a + b = 53
An equation for "<span>twice the first number minus three times the second number is 26"
</span>⇒ 2a - 3b = 26
<span>
Solve the equations by elimination and subtitution method
Eliminate a to find the value of b
a + b = 53 (multiplied by 2)
2a - 3b = 26
--------------------------------------
2a + 2b = 106
2a - 3b = 26
------------------- - (substract)
5b = 80
b = 80/5
b = 16
Subtitute the value of b to one of the equations
a + b = 53
a + 16 = 53
a = 53 - 16
a = 37
The numbers are 16 and 37</span>
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :
20 of the students would be 6th graders, hope that helps!
Answer:
$400 dollars in five dollar tickets then $399 dollars in seven dollar tickets.
so you do $400+$399=799
Step-by-step explanation:
You do $400÷5=80 then you do $395R4÷7=55 Then you do 55+80=$135.
so 55 adult tickets and then 80 student tickets.
