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Marina CMI [18]
3 years ago
12

Three-fourths of the ice cream has been eaten. How many twelfths is that?

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
3/4 x 3/3 = 9/12

9/12 of the ice cream has been eaten

hope this helps
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xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc
leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

4 0
3 years ago
Ten times the sum of half a number x and 8 is 12.
Diano4ka-milaya [45]

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

xxxxxxxxxxxxxxxxxxx

SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

XXXXXXXXXXXXXXXXXXXXXXXCCC

6 0
3 years ago
C(x) = 100x + 1400 and R(x) = 80x The break-even quantity is __ units
ZanzabumX [31]

Step-by-step explanation:

fresh your mind drink water and go outside take fresh air you will get answers ☺️

7 0
3 years ago
A car moving at a constant speed travels 78 feet in 2 seconds. How many feet will it travel in 60 seconds?
alexgriva [62]

Answer:

2340 ft.

Step-by-step explanation:

Step 1:

78 : 2       Ratio

Step 2:

39 : 1        Convert

Step 3:

39 × 60     Multiply

Answer:

2340 ft.

Hope This Helps :)

4 0
3 years ago
Russell runs 9.10 mile in 5 minutes. At this rate, how many miles can he run in one minute?
poizon [28]

Answer:

\frac{9.10}{5}  = 1.82

6 0
3 years ago
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