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2 years ago

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A drinking glass has a height of 4 inch a length of 2 and a width of 2 inch while a baking pan has a width of 4 inch a length of

8 inch. If the baking pan is to be filled with water up to the half it's depth using the drinking glass, how many glasses full of water would be?

1 answer:

Alex Ar [27]2 years ago

5 0

The answer would be two glasses

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One positive integer is 6 less than twice another. The sum of their squares is 680 . Find the integers.

NemiM [27]

Let's call the two numbers x and y. The first sentence, one is 6 less than twice another, translates to

$x = 2y-6$

We also know the sum of their squares:

$x^2+y^2 = 680$

So, we have the following system:

$\begin{cases} x = 2y-6 \\ x^2+y^2 = 680 \end{cases}$

We can use the expression for x in terms of y from the first equation to turn the second equation into something involving y alone:

$x^2+y^2 = 680 \to (2y-6)^2+y^2 = 680$

Expand the square:

$5y^2-24y+36 = 680$

Subtract 680 from both sides:

$5y^2-24y-644 = 0$

Using the quadratic equation

$y_{1,2} = \cfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

we find the two solutions

$y_1 = -\cfrac{46}{5},\quad y_2 = 14$

Since we know that both numbers are integer we can only accept the second solution. It yields the following x value:

$x = 2x-6\ \land\ y = 14 \implies x = 2\cdot 14 - 6 = 28-6=22$

4 0

2 years ago

There are 15 boys and 45 girls competing in a race. What is the ratio of girls to boys in the race , lowest terms ?

Ivanshal [37]

<h3>Answer = 3:1</h3>

==========================================

Work Shown

45 girls : 15 boys

45/15 girls : 15/15 boys .... divide both parts by 15

3 girls : 1 boy

This tells us there are three times as many girls as there are boys.

We write this as the ratio 3 : 1. The order of the terms is important. We cannot say 1:3 since that would imply there are more boys than girls, but it's the other way around.

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2 years ago

CAN ANYONE HELP ME PLEASE 20 POINT!!!

cricket20 [7]

Answer:

the answer should be B -3

Step-by-step explanation:

1+3-5-2= -3

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2 years ago

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A satilitle makes 4 revolutions in one day. How many revolutions would it make in 6 1/2 days

Oksana_A [137]

26 Revolutions in 6 1/2 days.

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3 years ago

the ratio of the number of adults to the number of students at the problem has to be 1 :10 Last year there were 477 more student

JulsSmile [24]

About 48 adults. I think.

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2 years ago