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3 years ago

On average, Logan drinks 2/3 of a 6-ounce glass of water in 2 1/4 hours. How much water does he drink, in glasses per hour?

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

Answer:

3/4 of a 6-ounce glass will be drunk by her in one hour.

Step-by-step explanation:

Given time = 2/3 of hour

= 2/3 (60) As hour = 60 mins

= 120/3

= 40 mins

Given quantity of water = 1/2 of 6-ounce

= 3 ounce

So,

In 40 mins, water intake is 3 ounce

In 1 min, water intake is 3/40

In 60 mins, water in take is (3/40)*60 = 4.5 ounce

Quantity of water intake in 60 mins:

4.5 ounce or 3/4 of 6-ounce glass

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If angle 1= 105°, angle 12= (3x + 15)°, and angle 7 = (8y-5)°, determine the values<br> of x and y.

Darina [25.2K]

The value of the variable x is 30° and the value of the variable y is 10°.

The missing diagram is attached below.

<h3>What is an angle?</h3>

The angle is the distance between the intersecting lines or surfaces.

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Vertically opposite angle – When two lines intersect, then their opposite angles are equal.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

∠1 = ∠5 = ∠9 = 105° (corresponding angles)

∠1 = ∠4 = 105° (Vertical opposite angles)

∠1 + ∠2 = 180° (linear angle)

∠2 = 75°

∠2 = ∠3 = 75° (Vertical opposite angles)

∠3 = ∠8 = ∠12 = 75° (corresponding angles)

If angle ∠1 = 105°, angle ∠12 = (3x + 15)°, and angle ∠7 = (8y-5)°.

Then the value of x and y will be

∠9 = ∠12

∠1 = ∠12

105° = (3x + 15)°

3x = 90°

x = 30°

∠6 = ∠7

75° = (8y – 5)°

8y = 80°

y = 10°

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1

7 0

2 years ago

When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the

Sladkaya [172]

We start with $2 x^{2} -20x-53$ and wish to write it as $a(x+d) ^{2} +e$

First, pull 2 out from the first two terms: $2( x^{2} -10x)-53$

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have $x^{2} -10x$ and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: $x^{2} -10x+25=(x-5) ^{2}$

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have $2( x-5) ^{2}-53$ and when we multiply that out it does not give us what we started with. It gives us $2 x^{2} -20x+50-53=2 x^{2} -20x-3$

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: $2(x-5) ^{2}-53-50$ which gives us the final expression we seek:

$2(x-5) ^{2}-103$

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e = -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106

7 0

3 years ago

Nathan is organizing textbooks on his bookshelf. He has a Spanish textbook, a math

Ghella [55]

Answer:

6 ways

Step-by-step explanation:

Given:

Books: Spanish, Maths and History textbooks (1 each)

Required

Determine the number of arrangements

In total, Nathan has 3 books.

The number of arrangements (n) is as follows:

The first book can be lined in 3 ways

The second book can be lined in 2 ways

The third book can be lined in 1 way

So,

$n = 3 * 2 * 1$

$n = 6$

3 0

2 years ago

Read 2 more answers

One fourth of a box of cereal was shared equally among 3 people. How much cereal did each person get? Explain how you got your a

Mila [183]

Each person gets 0.083333..... of the box of cereal. i got my answer by dividing 0.25 or 1/4 by three and the answer was 0.083333 repeating.

6 0

3 years ago

Which shows how to best estimate the product of 4.73 x 8.92?

Anettt [7]

Answer:

5 x 9 = 45

Step-by-step explanation:

A good way to estimate this would be rounding to the nearest whole number.

First we'll look at 4.73. If we're rounding to the nearest whole number, then that means we'll look at the digit one place to the right of 4. The digit to the right of 4 is 7. 7 is greater than 5 so we round up. We get 5. If we do the same for the other number we see that it also gets rounded up to 9. So our new equation is: 5 x 9. That is a simple multiplication equation and when we multiply we get 45.

Hope this helped!

6 0

3 years ago

Read 2 more answers