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inna [77]
3 years ago
13

Find the ratio of the geometric sequence 11,99,891

Mathematics
1 answer:
nadya68 [22]3 years ago
8 0

Answer:

Ratio is 9

Step-by-step explanation:

Common ratio can be obtained by dividing second term by first term, third term by second term etc

Therefore

99/11 = 9

891/99 = 9

The common ratio is 9

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Lana runs a business where she fixes bikes. She charges $15.75 per hour for her labor as well as a $25 flat fee for any parts sh
Masja [62]

Answer:

y = 15.75x + 25 is the linear equation

$88 would be the total cost

Step-by-step explanation:

First, create the equation using y = mx + b, where x is the number of hours:

y = 15.75x + 25 will be the equation, since the charge is $15.75 per hour and the flat fee is $25

There are 4 hours in between 8:30 AM and 12:30 PM, so to find the cost, plug in 4 as x and simplify:

y = 15.75x + 25

Plug in 4 as x:

y = 15.75(4) + 25

y = 63 + 25

y = 88

So, the total cost would be $88

8 0
2 years ago
Clara has 9 pounds of apples. She needs 1 1/4 pounds to make one apple pie. If she saves 2 pounds for applesauce, how many pies
sattari [20]

Answer:

She can make 6 pies.

8 0
3 years ago
Read 2 more answers
What is the intermediate step in the form (x+a)2 = b as a result of completing the square for the following
skelet666 [1.2K]

For this case we have the following expression:

x ^ 2-4x + 10 = 4x + 10

We follow the steps below:

We subtract 4x on both sides of the equation:

x ^ 2-4x + 10-4x = 4x + 10-4x\\x ^ 2-8x + 10 = 10

We subtract 10 from both sides of the equation:

x ^ 2-8x + 10-10 = 10-10\\x ^ 2-8x = 0

Now, we must complete squares.

When we have an equation of the form:

ax ^ 2 + bx + c = 0, if we want to complete squares we must subtract c on both sides of the equation obtaining:

ax ^ 2 + bx + c-c = -c\\ax ^ 2 + bx = -c

The square is completed by adding to both sides of the equation: (\frac{b}{2})^{2}

So, we have left:

ax^2+bx + (\frac {b} {2})^{2} = - c + (\frac {b} {2}) ^ {2}

In the given expression we have:

a = 1\\b = -8\\c = 0

And to complete the square we have:

(\frac {b} {2}) ^ {2} = (\frac {-8} {2}) ^ {2} = 16

Rewriting we have:

x ^ 2-8x + 16 = 16

We factor the left side of the equation, that is, we look for two numbers that when added together result in -8 and when multiplied as a result 16. We have:

-4-4 = -8\\-4 * -4 = 16

So, we have:

(x-4) (x-4) = 16\\(x-4) ^ 2 = 16

Answer:

The intermediate step is to complete squares

(x-4) ^ 2 = 16


7 0
3 years ago
What is the mean of the values in the stem-and-leaf plot? Enter your answer in the box. also guess what flag that is
Vesnalui [34]
Mean is the average....so you add all the numbers and then divide by how many numbers there were.

12 + 13 + 15 + 28 + 28 +30 + 42 = 168

since there are 7 numbers, you divide 168 by 7.

168/7 = 24

Therefore, 24 is the mean.

The flag is Japan I believe.

Hope this helps!
3 0
3 years ago
Read 2 more answers
What is the value of 3 + y ÷ 4, when y = 16?
tankabanditka [31]
Well lets do this

3 + 16 ÷ 4 

we divide first

3 + 4

Addition

=7
6 0
3 years ago
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