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Vesna [10]
3 years ago
9

Which is an equivalent expression for 21a+35?

Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

7(3a + 5)

Step-by-step explanation:

Rewrite 21 as 7 · 3

Rewrite 35 as  7 · 5

Therefore,

⇒ 21a + 35 = 7 · 3a + 7 · 5

Factor out common term 7:

⇒ 7 · 3a + 7 · 5 = 7(3a + 5)

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What two number that are the same have the product of 0.2 and the quotient of 0.8
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3 years ago
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What is the percent of decrease from 1,000 to 400?
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400/1000×100%

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3 years ago
A cone has a height of 17 centimeters. What is its volume? Use n 3.14
skad [1K]

Answer:

444.83

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8 0
2 years ago
The first two terms in an arithmetic progression are 57 and 46. The last term is -207. Find the sum of all the terms in this pro
statuscvo [17]

Answer:

-1875

Step-by-step explanation:

An arithmetic sequence has a common difference as a sequence. Here the common differnece is -11.

So our sequence so far looks like,

(57,46,35,24....). We know the last term of the sequence is -207 and we need to find the nth term of that series so we use arithmetic sequence

a _{1} + (n - 1)d

where a1 is the inital value,

d is the common differnece and n is the nth term.

We need to find the nth term so

57 + (n - 1)( - 11) =  - 207

(n - 1)( - 11) =  - 264

n - 1 = 24

n = 25

So the 25th term of a arithmetic sequence is last term, now we can use the sum of arithmetic sequence

which is

\frac{a  _{1} + a _{n}   }{2} n

\frac{57 + ( - 207)}{2} (25) =

\frac{ -  150}{2} (25)

- 75(25) =  - 1875

6 0
2 years ago
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