Answer:
Here's a 2 step conversion.
Step-by-step explanation:
1. Convert the fraction to a decimal: Divide the numerator by the denominator
2. Add this decimal number to the whole number part of the mixed number
A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number.
Example: Convert the mixed number 7 1/4 to a decimal
Convert the fraction to a decimal: Divide 1 by 4
1 ÷ 4 = 0.25
Add 0.25 to the whole number 7:
7 + 0.25 = 7.25
18. equivalent
16x5 does equal 10x8
19. equivalent
13-0 does equal 0
20. Not equivalent
12-2 doesn’t not equal 7-3
For all three of these equations you have to use PEMDAS (systems of equations) so first you solve everything that’s in parentheses, then any exponents, followed by multiplication,division,addition, and lastly subtraction. You MUST follow that order to get the correct answer.
Answer:
Volume = 8 * 3.5 * 14.5 =
406 cubic feet
.65 pounds / cubic foot * 406 =
263.9 pounds
Step-by-step explanation:
Answer:
8² = 4² + 5² - 2(4)(5) cos(P)
which is the third option
Explanation:
The general rule of cosine is:
a² = b² + c² - 2bc*cos(A)
In our triangle:
a is substituted by p = 8 cm
b is substituted by n = 4 cm
c is substituted by m = 5 cm
A is substituted by P which we want to find
Replace the variables in the general equation with the givens as follows:
p² = n² + m² - 2mn*cos(P)
8² = 4² + 5² - 2(4)(5) cos(P)
Hope this helps :)
9514 1404 393
Answer:
geometric sequence
Step-by-step explanation:
The terms of the sequence have a common ratio of -12/3 = -4, so the sequence is geometric. The general term is ...
an = 3(-4)^(n-1)
so the sum can be written as ...

(Note the summation starts at n=0, corresponding to a first term of 3.)