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Law Incorporation [45]
1 year ago
10

Pauline mixed 0.32 liter of syrup with 12 times as much water to make orange squash.She split 1.28 liter of orange squash.Then s

he poured the remaining orange squash equally into 4 bottles.How much orange squash were there in each bottle.Give your answer in Liters.​
Mathematics
1 answer:
cluponka [151]1 year ago
4 0

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

Litres of orange squash = (0.32 + 3.84) = 4.16 litres

Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

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Point Y is the midpoint of segment XZ. If XY = 2(3x +1) and YZ = 5x + 22, find the value of x.
Ede4ka [16]
<h3>Point Y is the midpoint of segment XZ. Then value of x is 20</h3>

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

Given that,

<em><u>Point Y is the midpoint of segment XZ</u></em>

XY = 2(3x +1)

YZ = 5x + 22

To find: Value of x

Since, Point Y is the midpoint of segment XZ,

Therefore,

XY = YZ

2(3x + 1) = 5x + 22

6x + 2 = 5x + 22

6x - 5x = 22 - 2

<h3>x = 20</h3>

Thus, value of x is 20

6 0
2 years ago
Write an inequality for the situation. all real numbers at most –9.5 or at least 5.5
Tomtit [17]
Hello,

If b represents any real number,

b<=-9.5
or
5.5<=b


Answer  C

8 0
2 years ago
Read 2 more answers
3.52 A coin is tossed twice. Let Z denote the number of heads on the first toss and W the total number of heads on the 2 tosses.
Rufina [12.5K]

Answer:

a)  The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

b)  P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

c) P ( z = 0 ) = 0.6

  P ( z = 1 ) = 0.4

Step-by-step explanation:

Number of head on first toss = Z

Total Number of heads on 2 tosses = W

% of head occurring = 40%

% of tail occurring = 60%

P ( head ) = 2/5 ,    P( tail ) = 3/5

<u>a) Determine the joint probability distribution of W and Z </u>

P( W =0 |Z = 0 ) = 0.6         P( W = 0 | Z = 1 ) = 0

P( W = 1 | Z = 0 ) = 0.4        P( W = 1 | Z = 1 ) = 0.6

P( W = 1 | Z = 0 ) = 0           P( W = 2 | Z = 1 ) = 0.4

The joint probability distribution

P(0,0) = 0.36, P(1,0) = 0.24,   P(2,0) = 0,   P(0,1) = 0,  P(1,1) = 0.24,  P(2,1)= 0.16

<u>B) Marginal distribution of W</u>

P( W = 0 ) = 0.36,    P(W = 1 ) = 0.48,  P(W = 2 ) = 0.16

<u>C) Marginal distribution of Z ( pmf of Z )</u>

P ( z = 0 ) = 0.6

P ( z = 1 ) = 0.4

8 0
2 years ago
Isaiah's family took a road trip to Mount Rushmore. Isaiah slept for the last 290 miles of the trip. If the total length of the
Leviafan [203]

Answer:

58%

Step-by-step explanation:

We need to find what percent 290 is of 500.

percent = part/whole × 100%

percent = 290/500 × 100%

percent = 58%

Answer: 58%

6 0
2 years ago
Ariana and Emily are both standing in line at Papa Joe’s Pizza. Ariana orders 4 large cheese pizzas and 1 order of breadsticks.
Eva8 [605]

The cost of 1 large pizza is $7.99 and cost of one breadstick is $2.50

Elimination method was used.

Step-by-step explanation:

Let,

Cost of one large pizza = x

Cost of one breadstick = y

According to given statement;

4x+y=34.46    Eqn 1

2x+y=18.48     Eqn 2

Subtracting Eqn 2 from Eqn 1

(4x+y)-(2x+y)=34.46-18.48\\4x+y-2x-y=15.98\\2x=15.98

Dividing both sides by 2

\frac{2x}{2}=\frac{15.98}\\x=7.99

Putting x=7.99 in Eqn 2

4(7.99)+y=34.46\\31.96+y=34.46\\y=34.46-31.96\\y=2.50

The cost of 1 large pizza is $7.99 and cost of one breadstick is $2.50

Elimination method was used.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2131336
  • brainly.com/question/2150928

#LearnwithBrainly

6 0
2 years ago
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