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igor_vitrenko [27]
3 years ago
14

7 times as much as the sum of 1/3 and 4/5

Mathematics
1 answer:
musickatia [10]3 years ago
6 0
1/3+4/5= 17/15
The commun multipleof 3 and 5 is 15.
1/3×5= 5/15
4/5×3= 12/15
5/12+12/15= 17/12

17/12×7= 119/84

119/84

Hope this helps! :)

\(^ ◇^)/
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Write these sums as decimals: <br><br> 2/100 + 3/1,000 = <br><br> 1/10 + 4/10,000 =
fgiga [73]

Answer:

1 ) 0.023

2 ) 0.1004

Step-by-step explanation:

2 / 100 + 3 / 1000

= 0.02 + 0.003

= 0.020 + 0.003

= 0.023

1 / 10 + 4 / 10,000

= 0.1 + 0.0004

= 0.1000 + 0.0004

= 0.1004

7 0
3 years ago
IF YOU SOLVE I WILL BE YOUR BEST FRIEND I SWEAR. ALSO WILL AWARD THE BRAINLIEST THING. PLEASE. I NEED THESE GRADES SO I WONT BE
asambeis [7]

Answer:

see below

Step-by-step explanation:

x⁵ - 8x⁴ + 22x³ - 26x² + 21x - 18 = 0

x = 2,  x = ± i,   x=3  with multiplicity 2

-----------------------------------------------------

x⁴ - 5x³ + 7x² - 5x + 6 = 0

x = 2,   x=3,   x = ± i

--------------------------------------------------------

<u>-1 + 4i</u>    =  4 + i

    i

--------------------------------------------------------

x³ - 26x² + 21x - 18 = 0

x = ± 2i,   x = 3/2

--------------------------------------------------------

(1 + i) (-3 - 4i)

= 1 - 7i

--------------------------------------------------------

6.

(-5 + 2i) + (3 - 6i)

= -2 -4i

--------------------------------------------------------

7.

x⁴ + 5x² + 4 = 0

x = ± i ,     x = ± 2i

--------------------------------------------------------

8.

(7 - i) - (-5 + 6i)

= 12 - 7i

--------------------------------------------------------

9.

(4 - i) (4 + i)

= 17

--------------------------------------------------------

10.

(3 + 8i) (4 - 3i)

= 36 + 23i

3 0
3 years ago
A group of 18 people ordered soup and sandwiches for lunch. Each person in the group either ordered one soup or one sandwich . T
kkurt [141]
Let's say a = number of ordered soups, b = number of ordered sandwiches.

Then 4.5a + 7.75b = 113.50, and a and b are integers between 0 and 18 inclusive.

How do we tackle this? If all ordered soup, the cost would be $81, so we'll have at least 4 sandwiches. If all ordered sandwich, the cost would be $139.5, so at most 15 sandwiches were ordered. You also know an even number of sandwiches was ordered, to let the price end at 50 cent.

If you brute-force from 4,6,8,10,12 to 14 sandwiches, you find the answer at 10 sandwiches and 8 soups.

10*7.75 + 8*4.50 = 113.50


8 0
3 years ago
If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank
strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water (Q), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

Q = \dot Q \cdot \Delta t (1)

Where:

\dot Q - Volume rate, measured in feet per minute.

\Delta t - Time, measured in minutes.

If we know that \dot Q = 2000\,\frac{gal}{min} and \Delta t = 120\,min, then the amount of water is:

Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)

Q = 32160\,ft^{3}

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

Q = \frac{\pi}{4}\cdot D^{2}\cdot h (2)

Where:

D - Diameter, measured in feet.

h - Height, measured in feet.

If we know that Q = 32160\,ft^{3} and h = 12\,ft, then the minimum diameter is:

D^{2} = \frac{4\cdot Q}{\pi\cdot h}

D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }

D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }

D \approx 58.415\,ft

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0
3 years ago
‼️WILL LIST BRAINLIEST ‼️Carlos went to an Astros game. He spent $25.50 each on two tickets, $10.00 for parking, and $27.75 on f
algol13

Answer:

$88.75

Step-by-step explanation:

since he bought two tickets for $25.5 each you have to do 2(25.50) and since he also spent $10 and $27.75 you have to add that as well.

y=2(25.50)+10+27.75

y=51+10+27.75

y=61+27.75

y=88.75

3 0
3 years ago
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