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3 years ago

The nth term of the sequence is n+7 work out the tenth term of the sequence

Mathematics

2 answers:

Vladimir79 [104]3 years ago

7 0

Answer:17

Step-by-step explanation:

n +7

To find 10th term

10 +7 = 17

worty [1.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

To obtain the tenth term, substitute n = 10 into the n th term formula, that is

n + 7 = 10 + 7 = 17 ← tenth term

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Youssef can either way from his home to his workplace or ride his bicycle. he walks at a pace of 1 block per min, but he can tra

alex41 [277]

Youssef lives 15 blocks away from his work

Solution:

Given that Youssef can either way from his home to his workplace or ride his bicycle

Let "x" be number of blocks away from work Youssef works

Case 1: walking

He walks at a pace of 1 block per min

Therefore,

1 block = 1 minute

Thus to cross "x" blocks he takes "x" minutes

Case 2: Bicycle

He can travel 1 block in 20 sec on his bicycle

We know that,

To convert seconds to minute, divide the time value by 60

$\rightarrow 20 seconds = \frac{20}{60} minutes = \frac{1}{3} minutes$

Thus he takes 1/3 minutes for 1 block

So to cross "x" blocks he will take $\frac{x}{3}$ minutes

Given that it takes youssef 10 min longer to walk to work than to ride his bike

This means difference between time taken to cross "x" blocks by walking and ride by bicycle is 10 minutes

$\rightarrow x - \frac{x}{3} = 10\\\\\rightarrow \frac{3x - x}{3} = 10\\\\\rightarrow \frac{2x}{3} = 10\\\\\rightarrow x = \frac{30}{2}\\\\\rightarrow x = 15$

Thus he lives 15 blocks away from his work

4 0

3 years ago

the perimeter of a picture frame is 24 inches if the width of the picture frame 5 inches what is the length of the picture frame

Ket [755]

You would divide 24 by 5 so the length would end up being: 4.8 in
Hope it helps!

7 0

3 years ago

The frosty ice cream shop sells sundaes for $2 and banana splits for $3. On a hot day the shoot sold 8 more sundaes than banana

sashaice [31]

Let’s designate the number of banana splits sold as x. That means the number of sundaes sold is x + 8.

Now if we put this into an equation, also keeping in mind their costs, we get:
3(x) + 2(x + 8) = 156

Now to solve for x:
3x + 2(x + 8) = 156
3x + 2x + 16 = 156
5x = 140
x = 28

That means you’ve sold 28 banana splits and 36 sundaes! :)

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3 years ago

The graph of the function f is shown. The domain of f is [0,50]. What is the range of g(x)=4f(x)?

sergij07 [2.7K]

Answer:

The range of $g(x)$ is $[0,7]$ .

Step-by-step explanation:

We must remember that range of function $f(x)$ corresponds to the set of values of $y$ in the graph (+y direction). Given that $g(x)$ is a stretched version of $f(x)$ , the range of $g(x)$ corresponds to the range of $f(x)$ multiplied by 4. Then,