What is the answer to number 17

What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374

Andreas93 [3]

Answer:

121

Step-by-step explanation:

This is an arithmetic sequence.

First term a = -15

Common difference [d] = second term - first term

= -11 - [-15] = -11 + 15 = 4

nth term = a + (n-1) * d

35th term = -15 + (35 - 1) * 4

= -15 + 34 * 4

= - 15 + 136

= 121

8 0

2 years ago

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Solve using substitution x=(3y+1) and x+4y=15

natka813 [3]

The solution is: x= 7 and y = 2

Step-by-step explanation:

Given equations are:

$x = 3y+1\ \ \ \ Eqn\ 1\\x+4y = 15\ \ \ \ Eqn\ 2$

Putting x = 3y+1 in equation 2 from equation 1

$3y+1+4y = 15\\7y+1 = 15\\$

Subtracting 1 from both sides

$7y+1-1 = 15-1\\7y = 14$

Dividing both sides by 7

$\frac{7y}{7} =\frac{14}{7}\\y = 2$

Putting y=2 in equation 1

$x = 3(2) +1\\x = 6+1\\x = 7$

Hence,

The solution is: x= 7 and y = 2

Keywords: Linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

2 years ago

Stephen evaluated (6.34 times 10 Superscript negative 7 Baseline) (4.5 times 10 Superscript 3 Baseline). His work is shown below

Maksim231197 [3]

Answer:

The step 4 and 5 describe the errors Stephen made.

Step-by-step explanation:

Given : Stephen evaluated $(6.34\times 10^{-7})(4.5\times 10^3)$ . His work is shown below.

To find : Which two statements describe the errors Stephen made?

Solution :

Step 1 - $(6.34\times 10^{-7})(4.5\times 10^3)$

Step 2 - $(6.34\times 4.5)(10^{-7}\times 10^3)$

Step 3 - $(28.53)(10^{-4})$

Step 4 - $28.53\times 10^{4}$

Error is the step as 4 sign is negative.

So correct step is $28.53\times 10^{-4}$

Step 5 - $28.53\times 10^{3}$

Error is the step as there is 4 in place of 3.

So correct step is $28.53\times 10^{-4}$

The step 4 and 5 describe the errors Stephen made.

7 0

2 years ago

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Need help due tonight!!

Luba_88 [7]

Answer:

64

Step-by-step explanation:

Each side length is being multiplied by 8

8 0

2 years ago

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Steve earns $8 per hour. His older brother earns $2 more per hour than Steve. What is the ratio of the money Steve earns in an h

Licemer1 [7]

Answer: 4:5

Explanation:

Steve earns 8 dollars an hour. His brother earns 10 dollars an hour.

The ratio is Steve:Brother, which is 8:10.

This can be treated the same was as a fraction and simplified, dividing both sides by 2, which becomes 4:5

5 0

2 years ago