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olchik [2.2K]
3 years ago
8

How do you simply algebra 10+3c+5d-7c+d

Mathematics
1 answer:
Vitek1552 [10]3 years ago
5 0

Answer:

-4c + 6d + 10.

Step-by-step explanation:

<em>Group like terms</em>  -   3c - 7c + 5d + d + 10

<em>Add/Subtract   -    </em>-4c + 6d +1 0

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−4(w+1)=−24 what is t? plz help
Blizzard [7]
- 4 w - 4 = - 24
- 4w = - 20
w = 5
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3 years ago
What is 5.3809 rounded to the nearest thousandth?<br>Enter your answer ​
Hatshy [7]

Answer:

5.381

Step-by-step explanation:

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3 years ago
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Find the measure of each angle if c||d show work
weeeeeb [17]

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

so

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

so

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

5 0
3 years ago
After 3 hours of driving, Elyse is 183 miles away from home. After 5 hours of driving ,she is 305 miles from home . Write an equ
kirill115 [55]
I’m not answering this question for you
3 0
3 years ago
1. What are the first five terms of the sequence given by the formula an = 5n + 1?
Dvinal [7]

The correct answers are:

(1) 6, 11, 16, 21, 26 (Option B)

(2)~a_1 = 8; ~a_n = a_{n-1} - 2~ (Option A)

(3)~a_n = -2 + 3(n-1)~~~~ (Option D)

Explanations:

(1) Given Sequence:

a_n = 5n + 1

Now in order to find the first 5 terms, we need to put n=1,2,3,4,5 in the above sequence and solve.

For n=1: a_1 = 5(1) + 1 = 6

For n=2: a_2 = 5(2) + 1 = 11

For n=3: a_3 = 5(3) + 1 = 16

For n=4: a_4 = 5(4) + 1 = 21

For n=5: a_5 = 5(5) + 1 = 26

Hence, the first five terms are: 6, 11, 16, 21, 26 (Option B)

(2) Given Sequence:

8, 6, 4, 2, …

Now to find the recursive definition, we need to adopt trial-and-error approach.

As, a_1 = 8 (meaning the first element of the sequence is 8), the second or nth value of the sequence can be found by using the following formula:

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

Where, n = the index of the number in a sequence

d = difference between two consecutive numbers = 8-6 = 2

Now,

The second number of the sequence has to be 6 by using (1). Put n = 2 and d = 2 in (1):

a_2 = a_{2-1} - 2

a_2 = a_{1} - 2

Since a_1 = 8, therefore,

a_2 = 8 - 2 = 6 (correct)

Hence the correct answer is a_1 = 8; ~a_n = a_{n-1} - 2~ (Option A)

(3) Given Sequence:

−2, 1, 4, 7, …

To find the explicit definition, use the following formula:

a_n = a_1 + (n-1)*d --- (X)

Where,

a_n = nth~term~of~the~sequence \\a_1 = 1st~term~of~the~sequence = -2 \\d = common~difference = 4-1 = 7-4 = 3 \\n = index~of~a~number~in~a~sequence \\

Plug in the values in (X):

(X)=> a_n = -2 + (n-1)*3~~~~ (Option D)

3 0
3 years ago
Read 2 more answers
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