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2 years ago

Add the opposite number of 1 1/5 to the sum of the numbers (−8 3/4 ) and (−2 5/6 ).

1 answer:

4 0

Start by finding the sum of (-8 3/4) and (-2 5/6). Find the least common denominator (LCD). 12 is the first thing that both 4 and 6 will evenly divide into, so we convert both fractions to 12ths:

-8 3/4 = -8 9/12 (multiply 4 by 3 to get 12, so multiply the numerator, 3, by 3 as well)
-2 5/6 = -2 10/12 (multiply 6 by 2 to get 12, so multiply the numerator, 5, by 2 as well)
-8 9/12 + -2 10/12 = -10 19/12
We must convert the improper fraction. 12 goes into 19 1 time with 7 left over, so 19/12 = 1 7/12
This means that -10 19/12 = -11 7/12
The opposite of 1 1/5 is -1 1/5. Add this to -11 7/12. Again find the LCD; in this case it is 60.
-1 1/5 = -1 12/60
-11 7/12 = -11 35/60
Adding these two we get -12 47/60.

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On a state map, a cartographer plots Geocity at coordinates (5, 8) and Shapetown at coordinates (11, 16). How far is it from Geo

Eddi Din [679]

We can solve for the distance between Geocity to Shapetown using the formula for the distance between two points which is shown below:
d² = (x2-x1)²+(y2-y1)²
Such as we have two points:
Geocity (5,8)
Shapetown (11,16)

Solving for the distance, we have:
d² = (11-5)² + (16-8)²
d² = 6² + 8²
d = 10

The answer is 10 units.

7 0

2 years ago

A guy wire is used to support flagpoles in windy areas. These wires are anchored in the ground to provide constant stability. Yo

r-ruslan [8.4K]

Answer: a) Length of wire to replace old one=9ft

b) Length of wire=3.09ft

Leftover wire=0.91ft

Step-by-step explanation: from the right angle triangle, Tan&=20/15

&=53.13°

Length of wire,x=cos 31.13=x/15

15cos31.13

X=9

b) Tan&=10/6

Tan^-110/6

&=59.05

Length= 6cos59.04

X=3.09

4-3.09=.91= leftover wire

8 0

2 years ago

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

hichkok12 [17]

Answer:

1kg of salami cost $9.1

Step-by-step explanation:

Hailey paid $13 for 1 3/7 kg of sliced salami.

What was the cost per kilogram of salami?

Cost of 1 3/7 kg of sliced salami=$13

1 3/7 kg=10/7kg

Let x=1 kg of sliced salami

10/7 kg of x=$13

$13=10/7x

13=10/7*x

x=13 ÷ 10/7

=13×7/10

=91/10

=9.1

x=$9.1

Therefore, 1kg of salami cost $9.1

8 0

2 years ago

A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?

Dima020 [189]

Answer:

48 Cubic Inches

Step-by-step explanation:

One foot, whether it be squared, cubed, or otherwise changed, will always equal twelve inches to the same power. So, 4 cubic feet is 48 cubic inches because 4*12=48

5 0

2 years ago

There are 450 seats in the lower level of a concert hall with b balcony seats in the upper level. So far, 170 tickets have been

slamgirl [31]

There are 400 balcony seats in the concert hall.

<u>Step-by-step explanation</u>:

Step 1 :

The number of lower seats = 450 seats

Total seats = Lower seats + balcony seats

Step 2 :

Tickets sold = 170 tickets
Total tickets = x

Tickets sold = 1/5 of total tickets.

⇒ 170 = (1/5)x

⇒ x = 5 $\times$ 170

⇒ x = 850 tickets

∴ Total seats in the concert hall is 850.

Step 3 :

Total seats = 450 + balcony seats

850 - 450 = balcony seats

∴ balcony seats = 400

7 0

2 years ago