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aivan3 [116]
3 years ago
11

The ratio of the muffins Baker A baked to the number of muffins Baker B baked was 8 : 5. The ratio of the number of muffins Bake

r B baked to the number of muffins BAker C baked was 4 : 3. If Baker C baked 150 muffins, how many more muffins did Baker A bake than Baker C?
Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

170 muffins

Step-by-step explanation:

We start from the ratio between baker B and C

The ratio of cakes baked by both is 4:3.

We know baker C baker 150 muffins:

This mathematically means:

B:C = 4:3 = B:150

This means 4/3 = B/150

B = (4 * 150)/3 = 200

Baker B baked 200 cakes

We now move back to the first statement

The ratio between baker A and B is 8:5

Mathematically, this means:

A:B = 8:5 = A:200

8/5 = A/200

A = (8 * 200)/5 = 320

The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins

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∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The c
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Answer:

A'(-2, 1), B'(1, 0), C'(-1, 0)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.

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If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)

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Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

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<em>For reference, the point-slope form is </em>y-y_1=m(x-x_1)

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The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

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If we multiply the whole equation by -4, we can get rid of the fraction.

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