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Virty [35]
3 years ago
6

Regina had 3/4 of a gallon of orange juice. She drank 1/4 of a gallon of orange juice. What fraction of the juice in the gallon

did Regina drink?
Mathematics
2 answers:
alekssr [168]3 years ago
8 0

Answer: 1/2 is left over

Step-by-step explanation:

Starting with 3/4 - 1/4 = 1/2

yKpoI14uk [10]3 years ago
4 0

Answer:

Regina drank 2/4 gal. of orange juice

Step-by-step explanation:

She starts off at 3/4 which makes the equation: 3/4 - 1/4=x

3/4-1/4 equals 2/4 which gets reduced and simplified to 1/2.

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A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
6 0
3 years ago
Factorise <br> a) 3x^2-7x+2<br> b)2x^2-x-3<br> c)3x^2-16x-12
Luba_88 [7]

Answer: Answers are in the steps read carefully!

Step-by-step explanation:

A) 3x^2 - 7x + 2 To factor this polynomial, you have to find two numbers that their product is 6 and their sum is -7.  The numbers -1 and -6 works out because -6 times -1 is 6  and -6 plus -1 is -7.

Now rewrite the polynomial as

3x^2 - 1x - 6x + 2   Now group it  

(3x^2 - 1x) (-6x+2)  Factor it by groups

x (3x -1)  -2(3x -1)    Now factor out 3x-1  

(3x -1) (x-2)  Done!    

B)  2x^2 - x -3     Now the same way.You will have two numbers that  their product is -6 and their sum is -1. You may be wondering how I get -6 .I get -6 by multiply the leading coefficient  2 by the constant -3.  The numbers -3 and 2 works out. Because -3 times 2 is -6 and -3 plus 2 is -1.

 Rewrite the polynomial as

2x^2 +2x - 3x -3     GRoup them and factor them

(2x^2 + 2x)  (-3x-3)  

2x(x+1) -3(x+1)  Factor out x+1

(x+1) (2x -3) Done!  

C) 3x^2 - 16x - 12   Find two numbers that their product is -36 and their sum is -12. The numbers -18 and 2 works out because -18 times 2 is -36 and -18 plus 2 is -16.

Rewrite the polynomial

3x^2 +2x -18x - 12   GRoup them

 (3x^2 + 2x)   (-18x - 12)   Factor them

x (3x +2) -6(3x +2)  Factor out 3x+2

(3x+2) (x -6)  Done !

6 0
3 years ago
What is the unit rate of a 13-oz. package of pistachios that costs $5.99?
meriva
I believe it is $0.46...
8 0
3 years ago
What is the solution to the equation 6x+2=9x-1?<br> 0 0 0 0<br> X= 1
Stells [14]

Answer:

Step-by-step explanation:

6x+2=9x-1      x=1

6(1)+2=9(1)-1

6+2=9-1

8=8

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Find the volume of the pyramid.
xz_007 [3.2K]
I think it is 432.sorry if it is wrong though. My bad calculation error.

3 0
3 years ago
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