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3 years ago

The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue

Mathematics

1 answer:

irina [24]3 years ago

3 0

Answer:

5/9

Step-by-step explanation:

The ratio of green counters to blue counters is 4:5 what fraction of the counters are blue

From the above question, we are given the ratio

Green counters: Blue counters

4 : 5

The sum of the proportion = 4 + 5 = 9 counters

Hence, the fraction of the counters are blue is given as 5/9

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3 years ago

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Please help, I will mark!!

Alik [6]

Answer:

$d=28.28$

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

$a^{2} +b^{2} =c^{2}$ a is the height, b is the base, and c is

the hypotenuse.

To obtain the value of the hypotenuse

$c= \sqrt{a^{2} +b^{2} }$

To find the value of the lenght of the diagonal d across the square, we have:

$d=\sqrt{a^{2} +b^{2} }$ Where a = b = 20

Substituting the values

$d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284$

Round the answer to 2 decimal places

$d=28.28$

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3 years ago

Points A(−1.5) and B(6) are marked on a number line. Find the coordinate of point M if it is known that AM:MB=1:2. Find all poss

stellarik [79]

M can have a coordinate of (-9) or (1) There are potentially 3 different places for point M to go. It can be placed to the left of point A, between points A and B, and to the right of point B. Let's check those three possibilities. 1. Left of point A. This works if the distance between M and A is the same as the distance between A and B. So distance between A and B = 6 - (-1.5) = 6 + 1.5 = 7.5 So the location for M would be -1.5 - 7.5 = -9 So point M can have the value of -9. 2. Between A and B. This would also work. Since we want a 1:2 ratio, place M one third of the way from A to B. Since we already know the distance between A and B to be 7.5, that means that we should add 7.5/3 = 2.5 to the value of A. So -1.5 + 2.5 = 1 So point M can also have the value of 1. 3. To the right of point B This won't work. Point B will always be closer to M than point A will be. So it's impossible to get a ratio of 1:2.

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3 years ago

What is the value of x in the equation -6x= 5x + 222 -22 -2 2

Leokris [45]

Answer:

$x=-20\frac{2}{11}$

Step-by-step explanation:

- 6x = 5x + 222

- 222 = 5x + 6x

11x = - 222

x = - 222 : 11

x = - 222/11

$x=-20\frac{2}{11}$

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3 years ago

Does anybody know what to do here?

Snezhnost [94]

Answer:

m=6

Step-by-step explanation:

38+8m+4=90

42+8m=90

8m=90-42

8m=48

m=6

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3 years ago