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3 years ago

Bria drank an 8-ounce glass of water from a 32-ounce container of water. How many more 8 ounce glasses were left?

Mathematics

1 answer:

marusya05 [52]3 years ago

4 0

There were 3 8-ounce glasses left, because 32 ounces - 8 ounces = 24 ounces, and 24/8 = 3. Hope this helped.

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Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a

hram777 [196]

Answer:

$(1,1)$

Step-by-step explanation:

Given: E, F, G, H denote the three coordinates of the area fenced

To find: coordinates of point H

Solution:

According to distance formula,

length of side joining points $(x_1,y_1)\,,\,(x_2,y_2)$ is equal to $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

So,

$EF=\sqrt{(3-1)^2+(5-5)^2}=2\,\,units\\FG=\sqrt{(6-3)^2+(1-5)^2}=\sqrt{9+16}=5\,\,units\\GH=\sqrt{(x-6)^2+(y-1)^2}\\EH=\sqrt{(x-1)^2+(y-5)^2}$

Perimeter of a figure is the length of its outline.

$EF+FG+GH+EH=16\\2+5+\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=16-2-5\\\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

Put $(x,y)=(1,1)$

$\sqrt{(1-6)^2+(1-1)^2}+\sqrt{(1-1)^2+(1-5)^2}=9\\\sqrt{25}+\sqrt{16}=9\\5+4=9\\9=9$

This is true.

So, the point $(1,1)$ satisfies the equation $\sqrt{(x-6)^2+(y-1)^2}+\sqrt{(x-1)^2+(y-5)^2}=9$

So, point H is $(1,1)$ .

7 0

3 years ago

Which is true?

aksik [14]

I believe the correct answer is A.

4 0

3 years ago

Read 2 more answers

What are 1356 times 17 this is math obviously

Travka [436]

Answer:

23052

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Solve the following equation for N 1/5 (N+3)+4=3/10 (2N-2) n = ________

postnew [5]

Answer:

n = 13

Step-by-step explanation:

1/5(n + 3) + 4 = 3/10(2n - 2)

~Simplify both sides

1/5n + 3/5 + 4 = 3/5n - 3/5

~Combine like terms

1/5n + 23/5 = 3/5n - 3/5

~Subtract 23/5 to both sides

1/5n = 3/5n - 26/5

~Multiply 5 to both sides

n = 3n - 26

~Subtract 3n to both sides

-2n = -26

~Divide -2 to both sides

n = 13

Best of Luck!

8 0

4 years ago

What is the solution to the equation ?

Savatey [412]

Answer:

There is no solution of the system of equations.

Step-by-step explanation:

We are given two equations y = - 4 and y = 4 and are to find the solution to the equations.

Now, the straight line y = - 4 is parallel to the x-axis as the equation of straight lines that are parallel to the x-axis are given by y = c, where c is any constant value.

Again, the straight line y = 4 is parallel to the x-axis.

Therefore, y = - 4 and y = 4 two lines are parallel to each other and we know, parallel lines never intersect and hence there is no solution of the system of equations. (Answer)

6 0

3 years ago