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boyakko [2]
3 years ago
7

Use the distributive property to write an equivalent expression. 4(4q+8r)

Mathematics
1 answer:
Solnce55 [7]3 years ago
4 0

Answer:

16q + 32r

Step-by-step explanation:

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Arjun solved the equation 7·m=56 His work is shown. What error did Arjun make?
natulia [17]
He multiplied rather than dividing.

\mathrm{Divide\:both\:sides\:by\:}7 \ \textgreater \  \frac{7m}{7}=\frac{56}{7} \ \textgreater \  Simplify \ \textgreater \ m = 8

Hope this helps!
6 0
3 years ago
Read 2 more answers
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

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

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
It took an ice cream 28 minutes to drive through one neighborhood. The truck stopped driving through the neighborhood at 2:05 pm
VMariaS [17]

Answer:

Starting time: 1:37

Step-by-step explanation:

Instead of proof to solve the problem, let us prove that the starting time above is correct;

1. There are 60 minutes in an hour, so 60 - 37 = the minutes 'till 2:00, or 23 minutes

2. Knowing that the time the truck stopped driving through the neighborhood was 5 minutes past 2:00, the minute difference being 23 + 5, or <em>28 minutes</em>

<em>Proved: 28 minutes</em>

6 0
3 years ago
Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?
mihalych1998 [28]

Answer:

307.5

Step-by-step explanation:

He drove 123 miles in 2 hours. If you go 100 miles in 2 hours that means you went 50 miles in one hour right? Using the same logic we can convert 123 miles in 2 hours to 61.5 miles per hour and then multiply it by 5.

4 0
2 years ago
1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes a
inn [45]

Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

4 0
3 years ago
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