Answer:
Step-by-step explanation:
So first we notice that the traingles are similar which makes my work much easier.
27:42 can be simplified to 9:14.
That means x is 28
And sharks to dolphins is 12.
That means the smaller triangle is 27 18 12 and the bigger triangle is 42 28 and x. Try and do it yourself if you can't just comment and I'll help you :)
Dana would need 75 pickets of each color to have an equal amount.
75x4=300
She would need 43 more red pickets to equal 75. (32+43=75)
49 more green pickets to equal 75 (26+49=75)
66 more yellow pickets to equal 75 (9+66=75)
75 blue pickets to equal 75. (0+75=75)
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is

If we are looking for x when f(x) = 64, then

Take the natural log of both sides:

The rules of logs allows us to bring the x down in front:

Divide both sides by ln(2) to get:

Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.
Answer:
a) - 7 dollars
b) 24.30 dollars
c) - 5 dollars
Step-by-step explanation:
b) 27 / 10%
Divide 27 by 10/100 by multiplying 27 by the reciprocal of 10/100.
27 x 100/10
Multiply 27 and 100 to get 2700.
2700/10
Divide 2700 by 10 to get 270.
270
Divide 270 by 100 to get 2.7
Subtract 27.00 - 2.7 = 24.30
24.30
Answer:
A, or 8
Step-by-step explanation:
the total angle is 102, so we can subtract 54 from 102 to get 6x, then divide by 6.
102 -54 = 48/6 =8