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SSSSS [86.1K]
3 years ago
10

Rewrite 11/21 and 5/9 so that they have common denominator

Mathematics
1 answer:
Effectus [21]3 years ago
3 0
11/21 * 3/3 = 33/63
5/9 * 7/7 = 35/63
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What is the sum of the first 30 terms of this arithmetic sequence? 6,13,20,27,34
Galina-37 [17]

Answer:

3135

Step-by-step explanation:

Givens

a1 = 6

Use t4 - t3 to get d

t4 = 27

t3 = 20

Step One

Find a1 and d

a1 = 6

d = t4 - t3

d = 27 - 20

d = 7

Step Two

Find the 30th Term

tn= a1 + (n -1 )*d

t30 = 6 + (30 - 1) * 7

t30 = 6 + 29*7

t30 = 6 + 203

t30 = 209

Step Three

Find the sum using Sum = (a + t30)*n/2

n = 30              given

a1 = 6               given  

t30 = 209         calculated from step 2

Sum = (a1 + t30)*n/2        Substitute

Sum = (6+ 209)*30/2       Combine like terms and divide by 2

sum = 215 * 15                  Multiply

Sum = 3135                      Answer

4 0
3 years ago
one angle of an isosceles triangle measure 140 degrees. which other angles could be in that isosceles triangle?
Scilla [17]

Answer:

20!

Step-by-step explanation:

Isosceles triangles have 2 angles are the same. Since we can't do 140, because interior angles of a triangle equal 180, then we need to subtract 140 from 180. 180-140=40. 40/2 because of 2 angles=20. 20 is the angle.

4 0
4 years ago
A school principal ordered 1000 pencils. He gave an equal number to each of seven teachers until he had given as many as possibl
horrorfan [7]
1000/7 = <span>142.857142857

Because this is not an even number we take "142", then times it by 7 teachers.

142*7= 994

1000 - 994 = 6 Pencils left</span>
6 0
3 years ago
Read 2 more answers
Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip. Which expression represents the total amount that Alexi
defon

Answer:

The expression represents the total amount that Alexi needs to pay is T= 1.02A , where T is total amount and A is restaurant bill.

Step-by-step explanation:

Given : Alexi’s restaurant bill is $58, and he wants to leave a 20 percent tip.

We have to find the expression represents the total amount that Alexi needs to pay.

Since, Alexi's restaurant bill is $ 58.

Also, she want to leave 20 % tip

So 20 % of her restaurant bill is 20% of 58

\frac{20}{100}\times 58=11.6

Thus, her total amount is 58 + 11.6 = $ 69.6

Alos, in expression it can be represented by

Total Amount to be paid = Amount + 0.02(Amount)

Mathematically, written as

T = A+ 0.20A

T= (1+0.02)A

T= 1.02A

The expression represents the total amount that Alexi needs to pay is T= 1.02A , where T is total amount and A is restaurant bill.

6 0
4 years ago
Read 2 more answers
How do you find the value of a ratio and what is the value of that ratio?
enot [183]

Answer:

Step-by-step explanation:

24/32=3/4

8 0
3 years ago
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