Step-by-step explanation:
$75 30% 0.70(75) = x $52.50
$18 65% 0.35(18) = x $6.30
$60 30% 0.70x = 42 $42
$35 20% 0.80x = 28 $28
$150 25% 0.75(150) = x $112.50
Answer:
x = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
0 = 4x + 4
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 4 on both sides: -4 = 4x
- Divide 4 on both sides: -1 = x
- Rewrite: x = -1
Answer:
5 terms: m, 4, 2, -7m, 6 are the terms in question.
Step-by-step explanation:
Note that terms here are separated from one another by either + or - signs.
m + 4 consists of two terms, since m and 4 are separated by the + operator.
2 - 7m are separated by the - operator, and so there are two terms here.
Completing the counting procedure, we get:
m (first term) + 4 (second term) + 2 (third term -7m (fourth term) + 6 (fifth term).
So, if we do NOT combine like terms, we have five (5) terms altogether.
If we DO combine like terms, we end up with two (2) terms:
m -7m + 4 + 2 + 6, or -6m + 12, or two (2) terms.
The diameter is twice as big as the radius
Step-by-step explanation:
the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).
I think your teacher made a mistake, or you made one when typing the question in here.
there is no factor r that creates
15×r = 9
and
9×r = 5/27
it would mean that
15 × r² = 5/27
r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81
r = 1/9
but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9
and 9 × 1/9 = 9/9 = 1 is NOT 5/27
so, this can't be right.
on the other hand
15 × r = 9
r = 9/15 = 3/5
and then
9 × 3/5 = 27/5
so, either the sequence should have been
15, 5/3, 5/27
or (and I suspect this to be true)
15, 9, 27/5
under that assumption we have
s1 = 15
r = 3/5
sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)
s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =
= 3 × 19683/390625 = 59049/390625 =
= 0.15116544 ≈ 0.151
