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Dmitry [639]
3 years ago
11

Solve for x and y:x = y = ​

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
5 0

Answer:

x = 15

y = 21

Step-by-step explanation:

*triangle sum theorem*

(6x - 11)° + (81)° + (x + 5)° = 180°

(7x - 6)° + (81)° = 180°

(7x)° + (75)° = 180°

(7x)° = (105)°

x = 15

________________

*vertical angle theorem* *triangle sum theorem*

(6x - 11)° + (4y - 18)° + (y + 14)° = 180°

^

|

15

(79°) + (4y + y) + (14 - 18)°

_________________________

(79)° + (5y - 4)° = 180°

(5y)° + (75)° = 180°

(5y)° = 105°

y = 21

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My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul
Alina [70]

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

7 0
3 years ago
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iogann1982 [59]
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4 0
3 years ago
Mary and Mike went to the store to buy colored pencils for their science class.mike bought a 12-pack for 1.69,and Mary bought a
sweet-ann [11.9K]

12-pack for 1.69 is a better buy

<em><u>Solution:</u></em>

Given that, Mike bought a 12-pack for 1.69 and Mary bought a 24-pack for 3.18

We have to find which is the better buy

First we have to find the unit rate

Unit rate is cost of 1 pack

<em><u>Mike bought a 12-pack for 1.69</u></em>

Therefore,

Cost of 12 pack = 1.69

Cost of 1 pack is found by dividing 1.69 by 12

cost\ of\ 1\ pack = \frac{1.69}{12} = 0.14083

Thus unit rate of Mike is 0.14083 dollar per pack

<em><u>Mary bought a 24-pack for 3.18</u></em>

Cost of 24 pack = 3.18

Cost of 1 pack is found by dividing 3.18 by 24

cost\ of\ 1\ pack = \frac{3.18}{24} = 0.1325

Thus unit rate of Mary is 0.1325 dollars

<em><u>On comparing both the unit rate</u></em>

0.14083>0.1325

Thus unit rate of Mike is larger

Thus, 12-pack for 1.69 is a better buy

3 0
3 years ago
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