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iris [78.8K]
3 years ago
13

Use an associative property to write an equivalent expression

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0

Answer:

6y+3xy

Step-by-step explanation:

You can combine the y's together to get this answer

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Find the 21st term in the arithmetic sequence.<br> 3, 7, 11, 15, 19, ...
NNADVOKAT [17]

The 21st term of the given arithmetic sequence is 83. The nth term of an arithmetic sequence is applied to find the required value where n = 21.

<h3>What is the nth term of an arithmetic series?</h3>

The nth term of an arithmetic sequence is calculated by the formula

aₙ = a + (n - 1) · d

Here the first term is 'a' and the common difference is 'd'.

<h3>Calculation:</h3>

The given sequence is an arithmetic sequence.

3, 7, 11, 15, 19, ....

So, the first term in the sequence is a = 3 and the common difference between the terms of the given sequence is d = 7 - 3 = 4.

Thus, the required 21st term in the sequence is

a₂₁ = 3 + (21 - 1) × 4

⇒ a₂₁ = 3 + 20 × 4

⇒ a₂₁  = 3 + 80

∴ a₂₁  = 83

So, the 21st term in the given arithmetic sequence is 83.

Learn more about the arithmetic sequence here:

brainly.com/question/6561461

#SPJ1

5 0
1 year ago
When rolling two dice , there are blank different ways to roll at least one 4.
Ann [662]

Answer:

3

Step-by-step explanation:

These 3 ways are:

  1. The first die showing a 4 and the second die showing a different number
  2. The second die showing a 4 and the first die showing a different number
  3. Both dice showing 4s
7 0
3 years ago
Read 2 more answers
How does the value of log 2 100 compare with the value of log 6 20?
lys-0071 [83]

Answer:

C

Step-by-step explanation:

Cuz I said so

4 0
2 years ago
A cake recipe says to bake the cake until the center is 180 degrees F, then let the cake cool to 110 degrees F. The table shows
jeka94

Answer:

Check the explanation

Step-by-step explanation:

a) The following exponential model would fit the given dataset : \small y = 129.122 \times (0.9742)^x

b) To cool down to 110 degrees, it would take approximately 7.3 minutes based on the above model.

4 0
3 years ago
Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end fraction liters of tea
barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks  5\frac{1}{4}\ liters\  in 1 hour

Step-by-step explanation:

Rate\ of\ drinking\ =\ 3\frac{1}{2}\ liters\ per\ \frac{2}{3}\ of\ an\ hour\\\therefore\ 3\frac{1}{2}\ liters\ is\ consumed\ in\ \frac{2}{3} \ hours\\\frac{7}{2} \ liters = \frac{2}{3} \ hours\\cross-multiplying\\7 \times 3\ liters = 2 \times 2\ hours\\21\ liters = 4\ hours\\4\ hours\ = 21\ liters\\\therefore\ for\  1\ hour\\\frac{4}{4}\ hours = \frac{21}{4}\ liters\\1\ hour = 5.25\ liters\\5.25\ liters = 5\frac{1}{4}\ liters

5 0
3 years ago
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