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Verdich [7]
3 years ago
12

What is unit rate ?

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

A unit rate is a rate with 1 in the denominator

oee [108]3 years ago
6 0

If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term

<u>Unit Rate is the ratio of two measurements in which the second term is 1.</u>

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In a geometric sequence, a4 = 54 and a7 = 1,458. what is the 12th term? <br><br> answer: B) 354,294
slamgirl [31]

Option B:

The 12th term is 354294.

Solution:

Given data:

a_4=54 and a_7=1458

To find a_{12}:

The given sequence is a geometric sequence.

The general term of the geometric sequence is a_n=a_1\ r^{n-1}.

If we have 2 terms of a geometric sequence a_n and a_k (n > K),

then we can write the general term as a_n=a_k\ r^{n-k}.

Here we have a_4=54 and a_7=1458.

So, n = 7 and k = 4 ( 7 > 4)

a_7=a_4\ .\ r^{7-4}

1458=54\ . \  r^3

This can be written as

$r^3=\frac{1458}{54}

$r^3=27

$r^3=3^3

Taking cube root on both sides of the equation, we get

r = 3

a_{12}=a_7\ .\ r^{12-7}

     =1458\ .\ r^5

     =1458\ .\ 3^5

a_{12}=354294

Hence the 12th term of the geometric sequence is 354294.

7 0
3 years ago
Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 3. (Input decimals only, such as 12.71, as the answer.)
sveta [45]

Answer:

87.92

Step-by-step explanation:

3.14(a² + ab)

= 3.14 (4² + 4 × 3)

= 3.14 (16 + 12)

= 3.14 × 28

= 87.92

Hope it helps :)

Please mark my answer as the brainliest

3 0
3 years ago
Read 2 more answers
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
frosja888 [35]

Answer:

Advance tickets cost $30; same-day tickets cost $35.

Step-by-step explanation:

Let a = the cost of an advance ticket

and s = the cost of a same-day ticket

We have two conditions:

                                                         (1)                  a + s = 65

                                                         (2)        15a + 20s = 1150

Subtract a from each side of  (1)     (3)                       s = 65 - a

Substitute (3) into (2)                         15a + 20(65 - a) = 1150  

Distribute the 20                             15a + 1300 - 20a  = 1150

Combine like terms                                     1300 - 5a = 1150

Subtract 1300 from each side                               -5a = -150

Divide each side by -5                    (4)                     a = 30

Substitute (4) into (1)                                          30 + s = 65

Subtract 30 from each side                                     s = 35

Advance tickets cost $30; same-day tickets cost $35.

Check:

(1) 30 + 35 = 65     (2) 15 × 30 + 20 × 35 = 1150

            65 = 65             450    +    700    = 1150

                                                         1150 = 1150

7 0
3 years ago
Solve each of the following addition and subtraction problems.–12 + 19 = ?
Snowcat [4.5K]

Answer:

It equals 7!

Step-by-step explanation:

count from -12 backwards 19 times, and that will be your answer!

Or you could simply just subtract 19-12=7!

Hope This Helps! :-)

5 0
3 years ago
Plz help me i will mark brainliest
alex41 [277]

Volume of a box is length times width times height.

It's blurry, I think that's 18 × 9 × 4.5 = 729

Answer: 729 sq in

4 0
3 years ago
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