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earnstyle [38]
3 years ago
13

The ratio of raisins to all M&M's in one bag of trail mix is 1:4. The ratio of peanut M&M's to plain M&M's is 2:3. I

f there are 20 raisins in the trail mix, how many plain M&M's are there?
Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

  48

Step-by-step explanation:

Multiplying the ratio of raisins to M&Ms by 20, we find there are a total of 80 M&Ms in the bag.

 raisins : M&Ms = 1 : 4 = 20 : 80

The ratio of peanut to plain M&Ms is 2 : 3, a total of 2+3 = 5 ratio units. These stand for a total of 80 M&Ms, so each ratio unit of M&Ms stands for 80/5 = 16 M&Ms. That is ...

  peanut : plain = 2 : 3 = 32 : 48

There are 48 plain M&Ms in the bag.

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solniwko [45]

Answer: c

Step-by-step explanation:

C is the only that gave us a single outcome so it’s a simple event

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2 years ago
Question 5 of 8 -
Ilya [14]

Answer:

8 x 2.48 = 19.84

Step-by-step explanation:

We need to find the product for the expression 8 x 2.48.

First no is 8 and second no is 2.48

Product means to multiply.

We can write 2.48 as \dfrac{248}{100}

i.e.

8\times \dfrac{248}{100}\\\\=\dfrac{1984}{100}

Now, apply decimal after 9. So,

8 x 2.48 = 19.84

Hence, the correct option is (b).

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2 years ago
find the gradient of the line joining (3,7) and (6,9). Hence, find the acute angle it makes with the positive x-y axis​
stiv31 [10]

Answer:

33.7 degrees

Step-by-step explanation:

As we go from (3,7) to (6,9), x increases by 3 and y increases by 2.  Thus, the gradient (slope) of the line connecting these two points is

m = rise / run = 2/3.  Using the slope-intercept formula y = mx + b, we obtain

7 = (2/3)(3) + b, or 7 = 2 + b, so we see that b = 5 and y = (2/3)x + 5.  The y-intercept is (0, 5).

Next we find the x-intercept.  We set y = (2/3)x + 5 = to 0 and solve for x:

(2/3)x = -5, or (3/2)(2/3)x = -5(3/2), or x = -15/2, so that the x-intercept is

(-15/2, 0).  This line intersects the x-axis at (-15/2, 0).

Now look at the segment of this line connecting (-15/2, 0) and (0, 5).  Here x increases by 15/2 and y increases by 5, and so the tangent of the acute angle in question is

tan Ф = 5 / (15/2) = 10 / 15 = 2/3.

Using the inverse tangent function, we get Ф = arctan 2/3, or approx.

33.7 degrees.

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3 0
3 years ago
What is 67 multiplyed by 55 ?
Brilliant_brown [7]

Hi there! :)

Step-by-step explanation:

Multiply- it's going to be product. It can also multiply by the numbers, fractions, decimals, factors, and multiples.

First, multiply by the numbers.

67*55=3685

335+3350=3685

Answer: \boxed{=3685}

Hope this helps!

Thanks!

-Charlie

Have a great day! :)

6 0
3 years ago
Read 2 more answers
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