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algol [13]
2 years ago
8

The sum of fifteen and six times a number t is 81

Mathematics
2 answers:
aliya0001 [1]2 years ago
7 0
We need to turn this phrase into an algebraic equation and then solve...

in math
"of" means times (x)
"is" means equals (=)
"sum" means you're going to add

The sum (we are going to add) of 15 and six times a number t (15 + 6t) is 81 (= 81).  So write it out...

15 + 6t = 81

Now solve for t.  First subtract 15 from each side...

15 + 6t - 15 = 81 - 15
6t = 66

Now divide each side by 6 to get t by itself...

6t/6 = 66/6

t = 11

Done!
Over [174]2 years ago
4 0
Well the sum is 15+6=21. then you must do 81-21=60. So your answer must be t=60.
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jonny [76]
3 feet is equal to 1 yard and 3 feet is 36 inches. 288 inches divided by 36 is 8 so 8 yards is equal to 288 inches.

8 0
3 years ago
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Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given
12345 [234]

Answer: i think its just 1

Step-by-step explanation:

6 0
2 years ago
An actor invested some money at 5% simple interest, and $41,000 more than 4 times the amount at 9%. The total annual interest ea
NARA [144]

Answer:

  • The amount invested at 5%=$77,000
  • The amount invested at 9%=$349,000

Step-by-step explanation:

  • Let the amount invested at 5% simple interest =$x

He invested $41,000 more than 4 times the amount at 9%.

  • This amount is: $(4x+41000)

Total Annual Interest Earned = $35,260

Therefore, Time=1 year

Simple Interest=\frac{Principal X Rate X Time}{100}

Therefore, his total interest

=Interest from Investment 1 + Interest from Investment 2

35260=\left(\frac{x*5*1}{100} \right)+\left(\frac{4x+41000*9*1}{100} \right)\\35260=0.05x+(0.36x+3690)\\35260-3690=0.05x+0.36x\\31570=0.41x\\\text{Divide both sides by 0.41}\\x=\$77000

Therefore:

The amount invested at 5%=$77,000

The amount invested at 9%=$(4*77,000+41000)=$349,000

6 0
3 years ago
A magician is performing for an audience of 32 men and 20 women. He selects a volunteer from the audience, has the volunteer sta
statuscvo [17]
32+20=52 so there are 52 people in all. 
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we now have to subtract 1 from this fraction like so 32-1/52-1 since the magician took away 1 man from the audience (therefore reducing the amount of men as well as the audience as a whole) resulting in 31/51
we multiply 32/52 with 31/51 to get 248/663. simply turn this fraction into a percent by multiplying the quotient by 100 and rounding it to the nearest tenth to get 37.4%
6 0
3 years ago
Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th
sleet_krkn [62]

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

7 0
3 years ago
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