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HACTEHA [7]
3 years ago
6

Abdul baked 300 cookies ,480 muffins and 240 cupcakes.Each container should be similar in terms of the numberof cookies, muffins

and cupcake . A. What is the greatest number of containers he can pack? B. How many cookies ,muffins and cupcakes will there be in each container
Mathematics
1 answer:
Reptile [31]3 years ago
4 0

Answer:

(a) 60 cups

(b) 5 cookies, 8 muffins and 4 cupcakes in each container

Step-by-step explanation:

Given

Let:

C \to Cookies; M \to Muffins; K \to Cupcakes

So:

C : M : K = 300 : 480 : 240

Solving (a): The greatest number of containers to be used;

To do this, we first reduce the ratio to the lowest

C : M : K = 300 : 480 : 240

Divide by 60

C : M : K = 5 : 8 : 4

<em>The ratio cannot be further reduced. Hence, he will use 60 cups</em>

Solving (b): The number in each cup

In (a), we have:

C : M : K = 5 : 8 : 4

This means that;

<em />C = 5<em> --- Cookies</em>

<em />M = 8<em> --- Muffins</em>

<em />K = 4<em> -- - Cupcakes</em>

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The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??
RideAnS [48]

Answer:

5\sqrt{5}

Step-by-step explanation:

1. 5^2 + 10^2 = c^2

2.125 = c^2

3. c=5\sqrt{5}

7 0
3 years ago
Please helppp
tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
3 years ago
Which ordered pair is a solution of the equation? -x-4y=-10
Makovka662 [10]

Answer:

(2, 2 )

Step-by-step explanation:

To find a solution, choose any value for x, substitute into the equation and solve for y.

Choose x = 2, then

- 2 - 4y = - 10 ( add 2 to both sides )

- 4y = - 8 ( divide both sides by - 4 )

y = 2

Thus (2, 2 ) is a solution to the equation

8 0
3 years ago
Read 2 more answers
On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl
vichka [17]
The reflected points are (4, -1) and (-2, 6).
4 0
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