Answer:
y = 64 and x =99
Step-by-step explanation:
y+116 =180
y=64
and
x+y+72+135=360
x=99
We are given : The cost of tools for building wind chimes = $130.
Cost of material for each wind chime = $10.
We need to find the total cost of making 100 wind chimes.
Please note : $130 is the fix cost and $10 is the variable cost of each wind chime.
<em>In order to find the cost of 100 wind chimes, we need to multiply 100 by cost of making one wind chime and add the fix cost for tools for building wind chimes.</em>
Therefore, total cost of making 100 wind chimes = 10×100 + 130
= 1000+130
=1130.
<h3>Therefore, the total cost to make 100 wind chimes is $1130.</h3>
Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
Answer:
x = -10/13
Step-by-step explanation:
10x + 7 = -3x - 3
Add 3x to both sides
10x + 3x + 7 = -3x + 3x - 3
13x + 7 = 0x - 3
13x + 7 = -3
Subtract 7 from both sides
13x + 7 - 7 = -3 - 7
13x + 0 = -10
13x = -10
Divide both sides by 13
13x ÷ 13 = -10 ÷ 13
1x = -10/13
x = -10/13
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
