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3 years ago

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Jessica is filling glasses with water. Each glass holds 3/5 cup of water. She pours 4 1/5 cups of water into the glasses. How ma

ny glasses does she fill with water? Enter your answer in the box.

2 answers:

xeze [42]3 years ago

4 0

4 1/5 divided by 3/5 = 7

Murljashka [212]3 years ago

4 0

Answer:

7 glasses

Step-by-step explanation:

Given: Jessica is filling glasses with water. Each glass holds $\frac{3}{5}$ cup of water. She pours $4\frac{1}{5}$ cups of water into the glasses.

To find: The number of glasses she fill with water.

Solution:

Each glass holds $\frac{3}{5}$ cup of water.

She pours $4\frac{1}{5}$ cups of water into the glasses.

To find the number of glasses she fill with water, we need to divide the total volume of water with the volume in each glass.

So, the number of glasses she fill with water can be calculated as

$=\frac{4\frac{1}{5}}{\frac{3}{5}}$

$= \frac{\frac{21}{5}}{\frac{3}{5} }$

$=\frac{21}{5}\times\frac{5}{3}$

$=\frac{21}{3}$

$=7$

So, she can fill 7 such glasses with water.

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2 years ago

Which equation does the graph of the systems of equations solve?

Viktor [21]

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

$\frac{1}{3}x+1=2x-4$

Subtract 1 from both sides

$\frac{1}{3}x+1-1=2x-4-1$

Simplify

$\frac{1}{3}x=2x-5$

subtract 2x from both sides

$\frac{1}{3}x-2x=2x-5-2x$

Simplify

$-\frac{5}{3}x=-5$

Multiply both sides by 5

$3\left(-\frac{5}{3}x\right)=3\left(-5\right)$

Simplify

$-5x=-15$

Divide both sides by -5

$\frac{-5x}{-5}=\frac{-15}{-5}$

Simplify

$x=3$

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

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3 years ago

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Answer:

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8 0

2 years ago

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She worked for five hours on Saturday.

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then take the amount of money she made in total and subtract what she made on Friday to find how much she made on Saturday

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Now take how much she made on Saturday and divide that by $6.50 to find how many hours she worked on Saturday

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2 years ago

Solve the following system using substitution.

ziro4ka [17]

Answer/Step-by-step explanation:

3. By substitution method, let's substitute $\frac{2}{3}x- 4$ for y in the first equation.

Thus,

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$\frac{x}{3} + \frac{4x}{3} - 4 = 1$

Add 4 to both sides

$\frac{x}{3} + \frac{4x}{3} - 4 + 4 = 1 + 4$

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Divide both sides by 5

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Now, substitute 3 for x in the equation.

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4. Solving by elimination, let's try to eliminate the x-variable by adding both equation together.

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Divide both sides by -3 to solve for y

$\frac{-3y}{-3} = \frac{15}{-3}$

$y = -5$

Substitute -5 for y in the first equation to find x

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Subtract 10 from both sides

$3x + 10 - 10 = 11 - 10$

$3x = 1$

Divide both sides by 3

$\frac{3x}{3} = \frac{1}{3}$

$x = \frac{1}{3}$

The solution is $x = \frac{1}{3}, y = -5$

8 0

3 years ago