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hjlf
3 years ago
11

TIME LIMITED

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

<h2>B.   9</h2>

Step-by-step explanation:

|<-------------- 27 ------------>|

L--------------M----------------N

       18                MN

LN = LM + MN

27 = 18 + MN

MN = 27 - 18

<h2>MN = 9</h2>
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OperumONS UNTUI a) Find the greatest number that divides 36, 45 and 63 without leaving a remainder. b) c) Find the greatest numb
larisa86 [58]

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

7 0
3 years ago
Find the equation line<br> (5,6), (4,7)
34kurt

Answer:

x+y=11

Step-by-step explanation:

Here we are given two coordinates through which our lines passes through. Now we are going to use the two point form to find the equation of the line.

The two point form is given as

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}

Here we are given two coordinates . Thus replacing them in the formula and simplifying it will give us the equation of the line.

\frac{y-6}{x-5}=\frac{7-6}{4-5}

\frac{y-6}{x-5}=\frac{1}{-1}

(y-6)=-(x-5)

y-6=-x+5

adding x and 6 on both sides we get

x+y=11

Hence this is our equation of the line passing through (5,6) & (4,7)

8 0
3 years ago
I need help, algebra hw
Bogdan [553]
The x-intercept represents the points in which the quadratic function passes through the x-axis. The maximum value represents the ordered pair with the highest range(y-value). 
Interval increasing: (Negative Infinity-10)
Interval Decreasing: (10-Negative Infinity)

Part B: 8/5
Note: I am assuming the scale factor of the graph is 2. 

8 0
3 years ago
Please solve, 20 points to whoever answers right
Vladimir79 [104]

Answer:

When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters.

Step-by-step explanation:

tan=opposite/adjacent

tan67.4°=3900/x

2.40=3900/x

cross multiply

2.40x=3900

divide via by 2.40

2.40x/2.40=3900/2.40

x=1625

When the probe reaches the ocean floor, the horizontal distance of the probe from the team's ship on the ocean's surface will be approximately 1625 meters

7 0
3 years ago
How much of the Fraction 5 over 6 is in the Fraction 1 over 3
Nadya [2.5K]
1/3 / (5/6) = 1/3*6/5 = 2/5
5 0
3 years ago
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