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jolli1 [7]
4 years ago
7

Jackson used 8/9 of a case of soda to fill 1/3 of a soda machine. How many cases does it take to fill the soda machine? Write as

a mixed number.
Mathematics
1 answer:
SashulF [63]4 years ago
3 0
8/9 of case fills  <span>fill 1/3 of a soda machine .so 8/9 *3 </span><span>fills a soda machine completely 8/9*3=8/3 = 2 + 2/3</span>
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The difference between one-fifth of a number and 4 is -75
Varvara68 [4.7K]
Think of this as (1/5)x - 4 = -75, where x is the number that we are trying to figure out. To figure this out, we want to get x by itself, so we can go:

(1/5)x=-71
x=-71*5
x=-355

So your number is -355
7 0
4 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 63
Damm [24]

Answer: 7

Step-by-step explanation:

7

3 0
4 years ago
What is the value of d? Assume that the line is a tangent to the circle.
motikmotik

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to 118^{0}.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

\measuredangle x=\frac{1}{2}m \widehat{ABC}

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

360^{0}-118^{0}=242^{0}

Now we will plug given values in our  formula,

d^{0}=\frac{242}{2}=121

Therefore, the measure of d is 121 degrees.


5 0
3 years ago
Read 2 more answers
Evaluate the radical.<br><br> 1000−−−−√3
scoray [572]
( 1000 )^1/3 
= ( 10 ^3 )^ 1/3

= ( 10 ) ^ 3 × 1/3

= 10

I hope this will useful to you.
6 0
3 years ago
Island A is 150 miles from island B. A ship captain travels 240 miles from island A and then finds that he is off course and 200
Stells [14]
We know that
Applying the law of cosines: 

<span>c</span>²<span> = a</span>²<span> + b</span>²<span> - 2abcos(C) </span>
<span>where: </span>
<span>a,b and c are sides of the triangle and C is the angle opposite side c </span>

<span>that is </span>
<span>150</span>²<span> = 240</span>²<span> + 200</span>²<span> - 2(240)(200)cos(C) </span>

<span>solve for C </span>

<span>22,500 = 57,600 + 40,000 - 96,000cos(C) </span>
<span>22,500-57,600-40,000 = -96,000cos(C) 
</span>-75,100=-96,000cos (C)
cos (C)=0.7822916
C=arc cos(0.7822916)--------> C=38.53°°

<span>hence, </span>
<span>he should turn in the direction of island b by
180 - 38.53 </span><span>= 141.47 degrees</span>
4 0
3 years ago
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