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3 years ago

Clara pays $76 for 8 guitar lessons. How much would 10 guitar lessons cost? Enter your answer in the box.

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

You would divide 76 by 8. That would give you 9.5. Then you multiply by 10 and that gives you 95. Hope this helps (;

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In the geometric progression 1, 2, 4… what term is 512?

Levart [38]

The next term is double the previous term, so that the $n$ -th term is given recursively by

$\begin{cases}a_1=1\\a_n=2a_{n-1}&\text{for }n>1\end{cases}$

This rule tells us that

$a_2=2a_1$

$a_3=2a_2=2^2a_1$

$a_4=2a_3=2^3a_1$

and so on, with the explicit rule

$a_n=2^{n-1}a_1=2^{n-1}$

for $n\ge1$ .

If 512 is the $k$ -th term in the sequence, then

$512=2^{k-1}\implies\log_2512=\log_22^9=\log_22^{k-1}\implies9=k-1\implies k=10$

8 0

2 years ago

In AABC, mZA=x, mZB = 2x +2, and

AnnyKZ [126]

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

6x + 6 = 180 ( subtract 6 from both sides )

6x = 174 ( divide both sides by 6 )

x = 29

6 0

2 years ago

Read 2 more answers

Hello, could you help me with my math exercise? thank you in advance

Natali [406]

Answer:

$100(x - 1)$

Explanation:

Let's begin writing down everything

(X×(-11)+5)×(-9)+X-55

Now we can multiply

-9(-11X+5)+X-55

99X-45+X-55

And so we get

100X-100

Factorize 100

100(x-1)

4 0

3 years ago

Read 2 more answers

Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.4

alex41 [277]

Answer:

Step-by-step explanation:

x+y=30 solve for x x=30-y

substitute x with 30-y and solve

11.25x+22.4y=515.9

11.25(30-y)+22.4y=515.9

337.5+11.15y=515.9

11.15y=178.4

y=16

since we're solving for just large candles it's 16

if need small cangle number 30-16=14

8 0

2 years ago

When would you use a negative number to describe a real world amount? Give an example

Dvinal [7]

When owe the bank some money or some friends so it could be -1.7h+19.7=187

8 0

2 years ago