During a day a student spends 7 hours sleeping, ¹/4 of the day studying and of the time travelling. What fraction of the day is left for other things?

To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. The equation is 35 - 4x = -1. Solving for x, we find that it will take 9 hours to reach -1°F.

To find how many hours it will take to reach -1°F starting from 1:00 p.m., where the temperature changes -4 degrees Fahrenheit per hour, we can set up an equation. Let x represent the number of hours it takes.

The initial temperature is 35°F at 1:00 p.m. If the temperature changes -4 degrees per hour, then the equation can be written as: 35 - 4x = -1.

So, it will take 9 hours to reach -1°F starting from 1:00 p.m.

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Final answer:

Eddie has read about 36% of the book for his English class, calculated by dividing the number of pages read by the total number of pages and then multiplying by 100.

Explanation:

To determine what percent of the novel Eddie has read for his English class, you would use the formula for calculating percentage: Percentage = (Part / Total) × 100. In this case, the part is the number of pages Eddie has read (173 pages) and the total is the number of pages in the novel (480 pages).

Now, let's calculate the percentage:

Percentage = (173 / 480) × 100

First, divide 173 by 480, which gives approximately 0.3604. Then, multiply this result by 100 to convert it into a percentage.

Percentage = 0.3604 × 100 => 36.04%

Therefore, Eddie has read about 36% of the book for his English class.

Answer:

Step-by-step explanation:

First of all, we need to find the equation that models this situation.

Let's find the constant ratio of change using two pair of values from the given table.

[tex]m=\frac{575-185}{8-2}=\frac{390}{6}=65[/tex]

The ratio of change is 65.

In other words, the hourly rate is $65, that is, 65 dollars per hour.

Then, we use the point-slope form to find the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-185=65(x-2)\\y=65x-130+185\\y=65x+55[/tex]

Where [tex]55[/tex] refers to the initial condition.

In other words, the initial setup fee is $55.

After discarding the gold card, Caroline has 10 cards left. Since 3 of these are red, the percentage of red cards is 30%.

To find the percent of the remaining cards that are red after Caroline discards the gold card, we must first determine the total number of cards left. Caroline initially has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card, totalling to 11 cards. If she discards the gold card, she is left with 10 cards.

Now, since there are 3 red cards out of the 10 remaining cards, to find the percentage of red cards, we perform the following calculation:

Therefore, 30% of Caroline's remaining cards are red.

The best fit curve for #1 is D. The easiest way to check these is by pluggin in to the equation and seeing if they come close. By doing just the first ordered pair along, it is apparent that only D will work.

With x = 1 input

A) -36

B) 24.2

C) 17.5

D) 11.58

#2 is also D. We can tell this because multiplying any of these options always results in a middle term between them. For instance, if you multiply out C, you will not only get x^4 and x^4, but you will also get terms such as 4x^2y^2 in the middle.

Answer:

B

Step-by-step explanation:

[tex]\sqrt{20}[/tex] = 4.47

4.47 + 2 = 6.47

Answer:

This is greatest common factor.

Step-by-step explanation:

It said,”What is the greatest number of baskets?

Among the options given, air cannot be classified as a substance because it is a mixture of gases with variable composition, unlike table salt, nitrogen, and gold, which have constant compositions and are either elements or compounds.

The question is asking which of the following cannot be classified as a substance: a) table salt, b) air, c) nitrogen, or d) gold. To answer this, we need to understand what a substance is. A substance is a form of matter with a constant chemical composition and characteristic properties. It can be an element or a compound, but not a homogeneous or heterogeneous mixture. Among the options given:

Based on these classifications, air is the one that cannot be classified as a substance.

To solve this problem, you need to divide 7/9 by 1/3. The answer is 7/3.

To solve this problem, we need to divide 7/9 by 1/3.

Dividing fractions involves multiplying the numerator of the first fraction by the denominator of the second fraction, and the denominator of the first fraction by the numerator of the second fraction.

So, 7/9 ÷ 1/3 = (7/9) x (3/1). Simplifying this gives us 21/9.

We can also simplify this fraction to the lowest terms, which is 7/3.

Answer:

-94

Step-by-step explanation:

-57-14= -71

-71-23= -94

The rate of leakage of the water from the container is 0.0625 gallons per minute, derived from the initial and final amount of water in the container and the elapsed time.

This problem pertains to the concept of rate of change, a fundamental concept in Mathematics. The rate of leakage of the water from the container can be determined by finding the amount of water leaked per minute. Initially, the container holds 8 gallons of water and after 48 minutes, it has 5 gallons of water left. Hence, the water has been leaking from the container at a rate of (8 gallons - 5 gallons) / 48 minutes = 0.0625 gallons per minute. Understanding this concept can help you solve similar problems, for instance, calculating the time it would take to fill a swimming pool with given rate of water flow.

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Answer:

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

Step-by-step explanation:

We are given the following in the question:

Keith uses 18 cherries and 3 peaches to make a pie filling

We find the ratio of number of cherries to number of peaches in the pie.

Equivalent Ratio =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{18}{3} = \frac{6}{1} = 6:1[/tex]

This ration can be interpreted as:

There are 6 cherries in the pie for every 1 peach in the pie.

We have to check whether  Lena can use a ratio of 21 cherries to 6 peaches.

Lena's ratio of number of cherries to number of peaches in the pie =

[tex]\displaystyle\frac{\text{Number of cherries}}{\text{Number of peaches}} = \frac{21}{6} = \frac{7}{2} = 7:2 \neq 6:1[/tex]

No, Lena cannot use a ratio of 21 cherries to 6 peaches because it is not equivalent to the equivalent ratio of cherries to peaches.

If Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container.

Total number of biscuits = Number of batches × Biscuit in each batch

Total number of biscuits = 8 × 14

Total number of biscuits = 112

Number of biscuits sets aside,

Total number of biscuits sets aside = Number of batches × Biscuit in each batch

Total number of biscuits sets aside = 4 × 8

Total number of biscuits sets aside = 32

The number of biscuits Trevor put in the container is,

=112 - 32

=80

Thus, if Trevor sets aside 4 biscuits from each batch for a bake sale and puts the rest in a container. Trevor put 80 biscuits in the container.

Learn more about the arithmetic operation here:

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The time taken by the bile to cover 225 miles will be 15 hours.

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

Given that bike covers a distance of 225 miles with a speed of 15 miles per hour.

The time will be calculated as below:-

Velocity = Distance / Time

15 = 225 / Time

Time = 225 / 15

Time = 15 hours

Therefore, the time taken by the bile to cover 225 miles will be 15 hours.

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Answer:

0.00018 and 1.8 × 10-4

Step-by-step explanation:

Jenna calculated several numbers in her calculator. The result displayed 1.8E-4 on the calculator screen.

1.8E^-4 means there are 3 zeroes after decimal then 18. When a value is very less than zero then the calculator shows that in E form. When we move the decimal to the left, it adds 1 to our exponent.

So, the correct answers are :

0.00018 and 1.8 × 10-4

1.8 × 10-4 = [tex]\frac{1.8}{10000}= 0.00018[/tex]