Answer:
35 ( B )
Step-by-step explanation:
160-20 =
140
140/4 =
35
So if the "i" becomes confusing, just think of it as x
so it would become (-12+48x) +(15+21x)
then you would split up the terms by constants and coefficients
-12+15 +48x+21x
3+69x and then you substitute back for i
3+69i
Answer:
1/3,5/12,3/4
Step-by-step explanation:
Ascending order means from the smallest to the biggest. firstly you find the least common multiple of the denominators of the fractions
the l.c.m of 12,3,and 4= 12
you then divide 12 from the denominators the answer you get multiply it with the numerators
i.e 5/12÷12=1,1×5=5
1/3 ÷ 12=4, 4×1= 4
3/4 ÷ 12=3,3×3=9
so you use the solutions of the above to determine the order of magnitude
i.e 1/3, 5/12,3/4
So average=(total of scores)/(number of tests)
needs at least average of 70
at least is represented as greater than or equal to or the sign (<u>></u>)
70<u>></u>(total)/(number oftests)
since we have 3 tests, we have to have 3 scores so
70<u>></u>(x+y+z)/3
he scored 85 and 60
70<u>></u>(x+85+60)/3 (doesn't matter which to subsitute)
70<u>></u>(x+145)/3
multiply obht sides by 3
210<u>></u>x+145
subtract 145 from both sides
65<u>></u>x
he needs to get at leas 65 on his third test
Answer:
c = 68
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 60
<em>b</em> = 32
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 60² + 32² = c²
- Evaluate exponents: 3600 + 1024 = c²
- Add: 4624 = c²
- [Equality Property] Square root both sides: 68 = c
- Rewrite: c = 68