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3 years ago

To mix plaster for a dental model, 45 milliliters (mL) of water are used for 100 grams (g) of plaster. How many milliliters (mL)

of water should be used for 250 grams (g) of plaster?

Mathematics

1 answer:

Tomtit [17]3 years ago

6 0

$\begin{array}{ccc}45\ ml&-&100\ g\\\\x\ ml&-&250\ g\end{array}\ \ \ |cross\ multiply\\\\\\100\cdot x=45\cdot250\\\\100x=11,250\ \ \ |divide\ both\ sides\ by\ 100\\\\\huge\boxed{x=1,125\ (ml)}$

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3 years ago

X=y+1400 0.08x+0.05=840

mezya [45]

Answer:

x = 7000

y = 5600

(7000, 5600)

Step-by-step explanation:

To solve the system of equations means to find the point of intersection (graphically). You are finding what value of 'x' and what value of 'y' fits both equations.

x = y + 1400

0.08x + 0.05y = 840

We can solve using the method substitution, where you replace a variable in one equation with an equivalent expression.

Since "x" is y + 1400, we can replace "x" in the second equation.

0.08x + 0.05y = 840

0.08(y + 1400) + 0.05y = 840

Distribute over brackets by multiplying 0.08 with y, then 0.08 with 1400.

0.08y + 112 + 0.05y = 840 Collect like terms (with "y" variable)

112 + 0.13y = 840

Now isolate "y" in the simplified equation.

112 - 112 + 0.13y = 840 - 112 Subtract 112 from both sides

0.13y = 728

0.13y/0.13 = 728/0.13 Divide both sides by 0.13

y = 5600 Solved for y

We can substitute "y" with 5600 in any other equation that has "x".

x = y + 1400

x = 5600 + 1400 Add

x = 7000 Solved for x

You may express the answer as a coordinate, or an ordered pair (x, y).

The solution is (7000, 5600).

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4 years ago

Read 2 more answers

How would the number of times edgardo uses a container to fill the 10 gallon cooler change if he uses a one cup container? Expla

olya-2409 [2.1K]

Answer:

Edgardo would use the container 160 times to fill.

Step-by-step explanation:

Given:

Edgardo uses a container to fill the 10 gallon cooler.

If he uses a one cup container.

Now, to find the times it would take to fill the 10 gallon container.

As, the capacity of container = 1 cup.

And, the capacity of cooler = 10 gallon.

So, we use conversion factor to find the times the container to fill the cooler:

1 gallon = 16 cups.

10 gallon = $10\times 16\ cups.$

10 gallon = 160 cups.

Thus, to fill the 10 gallon cooler 160 cups of container needed.

And, the container is of 1 cup.

So, to get the times he would use the container we divide 160 by 1:

$160\div 1=160.$

Hence, 160 times Edgardo would use the 1 cup container to fill the 10 gallon cooler.

Therefore, Edgardo would use the container 160 times to fill.

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3 years ago

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devlian [24]

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Step-by-step explanation:

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3 years ago

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Answer: The correct option is (a), i.e., cos B= sin A.

Explanation:

It is given that the ∠B = ∠C and ∠D is a right angle.

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It is given that,

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