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liubo4ka [24]
3 years ago
13

There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I

f the total number of dolls, balls, and cars is 80, then how many of each type of toy are there?
Mathematics
1 answer:
ANEK [815]3 years ago
8 0

Answer:

Number of Dolls = 28.

Number of Balls = 32.

Number of Cars = 20.

Step-by-step explanation:

Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.

Suppose the highest common factor of the three numbers be 'X'.

Then, Number of Dolls = 7x

Number of Balls = 8x

Number of Cars = 5x

Given the total number of dolls, balls, and cars is 80.

It means 7x + 8x + 5x = 80.

20x = 80

x = 80/20 = 4.

So, Number of Dolls = 7*4 = 28.

Number of Balls = 8*4 = 32.

Number of Cars = 5*4 = 20.

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See picture and explanation below.

Step-by-step explanation:

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A is defined as T=([T(v_1)] [T(v_2] [T(v_3)])\text{ where }[T(v_i)] denotes the vector of coordinates of T(v_i) respect to the basis (we can apply this definition because forms a basis for the domain of T).

The vector of coordinates can be computed in the following way: if T(v_i)=a_1w_1+a_2w_2+a_3w_3 then [T(v_i)]=(a_1,a_2,a_3)^t.

Note that we have all the required information: T(v_1)=0w_1+1\cdot w_2+0w_3 then [T(v_1)]=(0,1,0)^t

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The matrix A is on the picture attached, with the multiplication A(1,1,1).

Finally, to obtain the output required at the end, use the properties of a linear transformation and the outputs given:

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3 years ago
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6 0
3 years ago
Please help me <br>workin please
wel
You could simplify 255
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in short the answer is 35.5$
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3 years ago
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