Natasha spent 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction hours on the beach. She fell asleep for \dfrac34 4 3 start fraction, 3, divided by, 4, end fraction of the time she was on the beach and then woke up with a terrible sunburn. How many hours was Natasha asleep on the beach?

Answers

Answer 1

Answer:

Answer:

1 and 1/8 hours or

Step-by-step explanation:

Natasha spent one and a half hours on the beach, which can be rewritten as 3/2 hours. Out of that time, she spent 3/4 sleeping. The total time she spent sleeping on the beach is determined by the product of the amount of time she spent on the beach by the fraction of that time she spent asleep:

$T=(3)/(2) * (3)/(4)\nT=(9)/(8) \nT=1 + (1)/(8)$

Natasha was asleep on the beach for 1 and 1/8 hours or 1 hour 7 minutes and 30 seconds.

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Milk and cream are mixed together for a recipe. The total volume of the mixture is 1 cup. If the milk contains 2% fat, the cream contains 18% fat, and the mixture contains 6% fat, how much cream is in the mixture?A. 1/5 cup B. 1/4 cup C. 3/4 cup D. 4/5 cup

Write a function, f(x) , to represent how much money Alex collected from selling tickets

Answers

example

normally the ammmount you earn is calculated by (how many you sold) times (how much 1 costs)

so lets say each ticket costs c
he sold x tickets

f(x)=cx where c=cost per ticket and x=number of tickets sold

The equation of the line of best fit of a scatter plot is y = −8x + 3. What is the the y-intercept? −8 −3 3 8

Answers

The value of the y-intercept for the equation is 3.

What are Scatter plots?

The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane. The X-axis is used to represent the independent variable or attribute, while the Y-axis is used to plot the dependent variable. These diagrams or graphs are frequently used to describe these plots.

Given the equation of the line,

y = -8x + 3

the equation of a line is given by y = mx + c

where m is slop and c is the y-intercept

we can calculate the y-intercept at x = 0

y = -8x + 3

x = 0

y = 3

Hence y-intercept is 3.

Learn more about Scatter plot;

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#SPJ3

to find the y-int set x equal to 0
so y = -8(0) + 3
y = 3
so the answer is 3

What should be done to both sides of the equation in order to solve N/4 = -12.4

Answers

Mutiply each by four to get n=-49.6. Hope this helped.

Answer:

Multiply by 4.

Step-by-step explanation:

Mrs. Konings likes to eat Nerds (the candy, not her people). There are 1,000 Nerds in the box. The amount of Nerds left in the box decreases by a third each time she dumps out a portion. Let x represent the number of portions Mrs. Konings has taken and y represent the number of Nerds left in the box. Write an equation that represents the solution.

Answers

Answer:

$y-(1)/(3)+y=1000$

x=499.83

y=500.16

Step-by-step explanation:

We can solve this problem with a system of equations:

The total quantity of Nerds in the box:

$x+y=1000$ (1)

The amount of Nerds left in the box: $y$

The number of portions Mrs. Konings has taken: $x$

The amount of Nerds left in the box decreases by a third each time she dumps out a portion:

$x=y-(1)/(3)$ (2)

Substituting (2) in (1):

$y-(1)/(3)+y=1000$ (3) This is the equation

Let's find $y$ :

$y=(3001)/(6)=500.16$ (4)

Now let's find $x$ by substituting (4) in (2):

$x=500.16-(1)/(3)=499.83$ (5)

Answer:

she's my math teacher haha

Step-by-step explanation: :)

a new gym is being built at greenfield middle school. The length of the Gym is 12 inches on the builders blueprint. Find the actual length of the gym if the scale is 3/4 in = 5ft

Answers

Using scale conversion in mathematics, we set up a proportion based on the blueprint scale of 3/4 in equals 5 ft. Solving this proportion, we find the actual length of the gym is 80 feet.

In mathematics, this problem is about scale conversion.

The blueprint scale in this case is 3/4 in equals 5 ft.

To find out the actual length of the gym, we need to set up a proportion and solve for the missing value.

We know that 3/4 inches represents 5 feet on the actual gym.

According to the blueprint, the length of the gym is 12 inches.

First, let's set up the proportion: 3/4 in: 5 ft = 12 in: x ft.

Now we can cross multiply and solve for 'x'. (3/4) * x = 12 * 5, which simplifies to (3x/4) = 60.

Multiply both sides by 4 to isolate 'x': 3x = 240.

Finally, divide both sides by 3, we get x = 80.

Therefore, the actual length of the gym is 80 feet.

For more such questions on scale conversion, click on:

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