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Brut [27]
3 years ago
13

Science is Hayley's favorite class! She especially loves doing experiments. Today, she began

Mathematics
1 answer:
raketka [301]3 years ago
8 0

Answer: the final mass of the solid is 176 grams.

Step-by-step explanation:

The "change" between two quantities, one initial Qi and one final Qf is defined as:

Change = Qf - Qi.

In this case, the quantity is mass, and we know that the initial mass is 260 grams.

And we also know that the change is -84 grams.

Then we have the equation:

Qf - 260 g = -84g

Qf = -84g + 260g = 176g

So the final mass of the solid is 176 grams.

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Solve the simultaneous equations 8 x + 5 y = 28 4 x + 5 y = 16
Nostrana [21]

Answer:

x=3, y=0.8

Step-by-step explanation:

8x+5y=28

4x+5y=16

Subtract the second simultaneous equation from the first.

You are left with: 4x=12

12/4=3

x=3

Substitute this back into one of the equations.

8(3)+5y=28

8*3=24

28-24=4

4=5y

4/5=0.8

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dlinn [17]

Answer:

The cost of 4 ounces of the pecans is <u>$2.24</u>.

Step-by-step explanation:

Given:

Eliseo pays $8.99 for a one-pound canister of Georgia pecans.

Now, to solve a proportion to determine the cost of 4 ounces of the pecans she needs for a particular recipe.

Let the cost of 4 ounces of the pecans be x.

1 pound = 16 ounces.

So, using unitary method we get cost of 1 ounces:

Cost of 16 ounces of the pecans = $8.99.

Cost of 1 ounces of the pecans = $8.99 ÷ 16 = $0.56.

According to question we set proportion:

4:x=1:0.56

So, to get by cross multiplication method:

\frac{4}{x} =\frac{1}{0.56}

<em>By cross multiplying we get:</em>

2.24=x

x=2.24

Thus, the cost of 4 ounces of the pecans is $2.24.

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