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Ivenika [448]
3 years ago
14

Find the number that makes the ratio equivalent to 5:4. :48

Mathematics
1 answer:
Orlov [11]3 years ago
5 0

Answer:

60

Step-by-step explanation:

5:4 = 60:48

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Write an equation of the line in slope-intercept form through the given points: (0, 2) and (3, 3).
dybincka [34]
The answer is y=1/3x+2
4 0
2 years ago
1821.5/0.7 ... can someone please explain and answer this? Thank you SO much!!
S_A_V [24]
So you cant have a decimal in your divisor which means the problem sill become 18215/7 if that helps
8 0
3 years ago
Sandy spent half of Her allowance going to the movies. She washed the family car and earn seven dollars. What is your weekly all
Veseljchak [2.6K]

Answer:

I'm pretty sure it's 13.

Step-by-step explanation:

4 0
3 years ago
Need an answer as soon as possible.
Elza [17]
Part A

Answer: The common ratio is -2

-----------------------------------

Explanation: 

To get the common ratio r, we divide any term by the previous one

One example:
r = common ratio
r = (second term)/(first term)
r = (-2)/(1)
r = -2

Another example:
r = common ratio
r = (third term)/(second term)
r = (4)/(-2)
r = -2
and we get the same common ratio every time

Side Note: each term is multiplied by -2 to get the next term

============================================================
Part B

Answer:
The rule for the sequence is 
a(n) = (-2)^(n-1)
where n starts at n = 1

-----------------------------------

Explanation:

Recall that any geometric sequence has the nth term
a(n) = a*(r)^(n-1)
where the 'a' on the right side is the first term and r is the common ratio

The first term given to use is a = 1 and the common ratio found in part A above was r = -2
So,
a(n) = a*(r)^(n-1)
a(n) = 1*(-2)^(n-1)
a(n) = (-2)^(n-1)

============================================================
Part C

Answer: The next three terms are 16, -32, 64

-----------------------------------

Explanation:

We can simply multiply each previous term by -2 to get the next term. Do this three times to generate the next three terms

-8*(-2) = 16
16*(-2) = -32
-32*(-2) = 64

showing that the next three terms are 16, -32, and 64

An alternative is to use the formula found in part B

Plug in n = 5 to find the fifth term
a(n) = (-2)^(n-1)
a(5) = (-2)^(5-1)
a(5) = (-2)^(4)
a(5) = 16 .... which matches with what we got earlier

Then plug in n = 6
a(n) = (-2)^(n-1)
a(6) = (-2)^(6-1)
a(6) = (-2)^(5)
a(6) = -32 .... which matches with what we got earlier

Then plug in n = 7
a(n) = (-2)^(n-1)
a(7) = (-2)^(7-1)
a(7) = (-2)^(6)
a(7) = 64 .... which matches with what we got earlier

while the second method takes a bit more work, its handy for when you want to find terms beyond the given sequence (eg: the 28th term)
6 0
3 years ago
A parking space shaped like a parallelogram has a base of 17 feet and a height is 9 feet. A car parked in the space is 16 feet l
Sauron [17]
17 by 9 parking space
16 by 6 car

17-16=1
9-6=3
1 foot by 3 feet left of parking space
8 0
3 years ago
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