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Stolb23 [73]
3 years ago
10

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell 7$ a pound and cereal squares sell for 4$ a pound. If O

rlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many nuts and cereal squares should he use?
Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Answer:

25 pounds of nuts and 5 pounds of cereal squares.

Step-by-step explanation:

Let amount of nuts be x  and cereals squares be y pounds.

x + y = 30

7x + 4y = 30*6.5

7x + 4y = 195     Multiply the first equation by -4:

-4x - 4y = -120    Adding:

3x = 75

x = 25 pounds.

y = 30 - 25 = 5  pounds.

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How do I solve The sum of a number and 3 is subtracted from 10 the result is 5
meriva

State the given in the question

Given that the sum of a number and 3 is subtracted from, the result is 5

State what is to be found in the question

We are to find the number. In other to achieve this, we would follow the steps below:

Step 1: Represent the number with an unknown

Let x represent the number

Step 2: Interpret the given statement mathematically

If x is the number, then the sum of the number and 3 would be

x+3

Then the sum of a number and 3 subtracted from 10 would be

10-(x+3)

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

10-(x+3)=5

Step 3: Solve for x in the mathematical interpretation of the given statement

The value of x is as calculated as shown below:

\begin{gathered} 10-(x+3)=5 \\ \text{Open the bracket or the parenthesis} \\ 10-x-3=5 \\ \text{collect like terms} \\ 10-3-5=x \\ 7-5=x \\ 2=x \\ \text{Therefore:} \\ x=2 \end{gathered}

Hence, the number is 5

4 0
10 months ago
Can you help me please ​
igor_vitrenko [27]

Answer:

<h2>240.34</h2>

Step-by-step explanation:

ΔA = 90° - 31°

= 59°

sin A = perpendicular ÷ base

sin 59° = 400 ft ÷ y

1.6643 = 400 ft ÷ y

y = 400 ÷ 1.6643

y = 240.34 ft

<h2>MARK ME AS BRAINLIST</h2>

7 0
2 years ago
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