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kompoz [17]
2 years ago
13

Ivan and Tanya share £150 in the ration of 4:1

Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

Answer:

Money Ivan gets   extra = 120 - 30 (or 3x) = 90

Step-by-step explanation:

Ivan = 4x

Tanya = 1x

Total = 150

4x + x = 150

5x = 150 ;  x = 150 / 5 = 30

Ivan = 4x = 120

Tanya = 1x = 30

Money Ivan gets   extra = 120 - 30 (or 3x) = 90

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Which of the following functions is graphed below?
pishuonlain [190]
Answer: B

The piece wise functions first part says: x is less than it equal to one and has a vertical shift down 4. which would mean the circle is closed and shaded down.

The second part of the function says x is greater than one and has a vertical shift up 3. This would mean it is an open circle and is shaded up.
7 0
2 years ago
Olivia are two times as much salad as Reagan. If Reagan ate R salad, which equation can be used to find the amount of salad Oliv
mina [271]
<h3>Answer: B) 2r = v</h3>

================================================

Explanation:

r = amount of salad Reagan ate

v = amount of salad Olivia ate

"Olivia ate twice as much as Reagan", meaning

amount Olivia ate = 2*(amount Reagan ate)

v = 2*r

v = 2r

2r = v

6 0
3 years ago
for events A and B, P(A)= 3/14 and P(B)= 1/5. Also, P(A and B)= 3/65. Are A and B independent events?
Lady_Fox [76]

No, A and B are not independent events

Step-by-step explanation:

Let us study the meaning independent probability  

  • Two events are independent if the result of the second event is not  affected by the result of the first event
  • If A and B are independent events, the probability of both events  is the product of the probabilities of the both events  P (A and B) = P(A) · P(B)

∵ P(A) = \frac{3}{14}

∵ P(B) = \frac{1}{5}

∴ P(A) . P(B) = \frac{3}{14} × \frac{1}{5}

∴ P(A) . P(B) = \frac{3(1)}{14(5)}

∴ P(A) . P(B) = \frac{3}{70}

∵ P(A and B) = \frac{3}{65}

∵ P(A) . P(B) = \frac{3}{70}

- The two answers are not equal

∴ P (A and B) ≠ P(A) · P(B)

- In independent events P (A and B) = P(A) · P(B)

∴ A and B are not independent events

No, A and B are not independent events

Learn more:

You can learn more about probability in brainly.com/question/13053309

#LearnwithBrainly

5 0
3 years ago
Evaluate the expression below using the properties of operations. Show your steps.−36 ÷ 14 ⋅ (−18) ⋅ (−3) ÷ 6
s2008m [1.1K]

Answer:

(-162)/7 or -23 1/7 as mixed fraction

Step-by-step explanation:

Simplify the following:

(-36)/14 (-18) (-3)/6

Hint: | Express (-36)/14 (-18) (-3)/6 as a single fraction.

(-36)/14 (-18) (-3)/6 = (-36 (-18) (-3))/(14×6):

(-36 (-18) (-3))/(14×6)

Hint: | In (-36 (-18) (-3))/(14×6), divide -18 in the numerator by 6 in the denominator.

(-18)/6 = (6 (-3))/6 = -3:

(-36-3 (-3))/14

Hint: | In (-36 (-3) (-3))/14, the numbers -36 in the numerator and 14 in the denominator have gcd greater than one.

The gcd of -36 and 14 is 2, so (-36 (-3) (-3))/14 = ((2 (-18)) (-3) (-3))/(2×7) = 2/2×(-18 (-3) (-3))/7 = (-18 (-3) (-3))/7:

(-18 (-3) (-3))/7

Hint: | Multiply -18 and -3 together.

-18 (-3) = 54:

(54 (-3))/7

Hint: | Multiply 54 and -3 together.

54 (-3) = -162:

Answer:  (-162)/7

3 0
3 years ago
An athlete eats 0.4kg of protein per week while training. How much protein will she eat during 6 weeks of training?
kolezko [41]
0.4kg  per week.     so 0.4kg  x  6 weeks is 2.4kgs
7 0
3 years ago
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