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BARSIC [14]
3 years ago
14

There were 3 times as many monkeys as lions tom counted a total of 24 monkeys and lions. How many monkeys were there

Mathematics
1 answer:
arsen [322]3 years ago
8 0
There where 72 monkey
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The image below shows two parallel lines cut by a transversal. What is the value of A
rewona [7]

<u>Answer</u>

59°


<u>Explanation</u>

There are 2 parallel line and one transverse.

Angles in a straight line add up to 180°

∴ 180 - (2a + 3) = 180 - 2a -3

                        = 177 - 2a

The angle (177 - 2a) corresponds to angle a in the diagram. The two corresponding angles are equal.

∴ 177 - 2a = a

  177 = a + 2a

3a  = 177

a = 177/3

  = 59°

3 0
3 years ago
Rearrange the formula to make x the subject.<br><br> y = 4x + 3
allochka39001 [22]

Answer:

x=\frac{y-3}{4}

Step-by-step explanation:

y=4x+3

y-3=4x

\frac{y-3}{4}=x

x=\frac{y-3}{4}

4 0
3 years ago
Read 2 more answers
A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

3 0
3 years ago
Read 2 more answers
In a triangle, the measure of the first angle is 24 degrees more than the measure of the second angle. The measure of the third
insens350 [35]

Answer:

104°

Step-by-step explanation:

let the second angle be x , then

the first angle is x + 24

the third angle is 4x , thus summing and equating to 180

x + x + 24 + 4x = 180, that is

6x + 24 = 180 ( subtract 24 from both sides )

6x = 156 ( divide both sides by 6 )

x = 26

Thus largest angle = 4x = 4 × 26 = 104°

6 0
3 years ago
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