Answer:
First: 12 feet
Second: 11 feet
Third: 14 feet
Step-by-step explanation:
Let the second side of the traingle be x
First side of the triangle= x+1
Third side of the triangle= x+3
x+x+1+x+3 = 37
3x+4 = 37
3x = 37-4
3x = 33
x = 11
First side of the triangle= (11)+1
= 12
Second side of the triangle= 11
Third side of the triangle= (11)+3
= 14
Answer:
x^2 +x +1
Step-by-step explanation:
See below for the tableau. The quotient is x^2 +x +1.
___
The remainder is 2.
Answer:
A. {16}
Step-by-step explanation:
1/4 = x^-1/2
We have the exponent rule a^-1 = 1/a^1
Applying the rule, we get
1/4 = 1/x^1/2
x^1/2 = √x
1/4 = 1/√x
Now let's cross multiplying, we get
√x = 4
Taking square on both sides, we get
x = 16
The answer: A. {16}
Hope this will helpful.
Thank you.
From the table, for every 6 containers of water, you need 8 containers of red dye. So, for every one container of red dye you need 0.75 containers of water (6/8). Then, multiply that by 100 (since you wanted to know water necessary for 100 containers of red dye). For 100 containers of red dye, you would need 75 containers of water.
Answer:
36
Step-by-step explanation:
consecutive even numbers are 2,4, 6...
Let the smallest of the 3 numbers be x.
2nd number= x+2
3rd number
=x+2+2
= x+4
sum of the 3 numbers= x +x+2 +x+4
114= 3x+6
3x= 114 -6 (-3 on both sides)
3x= 108 (simplify)
x= 108 ÷3
x= 36
Thus, the smallest number is 36.
Let's check!
36+38+40= 114 ✓