unit 3 homework 1 answers

Answer:

I think that the dependent variable would be the academic performance because she hypothesizes that the performance depends on how many hours of sleep you get. And the amount of sleep would be the independent variable. I'm not too too sure.

Answer:

Independent Variable = Effect of Sleep

Dependent Variable = Academic Performance

Step-by-step explanation:

As we know that dependent variable depends on independent variable and on changing the value of independent variable, value of dependent variable also get changed.

Here in the given scenario academic performance is depend on the effect of sleep. Thus,

Independent Variable = Effect of Sleep ( Number of hours of sleep)

Dependent Variable = Academic Performance.

Answer:

101218141812

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]

Step-by-step explanation:

In the figure attached, map shows the dimensions of the 5 counties in a Midwestern state.

Adams county has the triangular boundaries.

Since area of triangle is represented by the expression [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]

Base represents the boundary of county Harding touching Adams = 18 mi.

Height represents the boundary of county Lincoln touching Adams = 10 mi

Therefore, expression representing the area of Adams county will be

[tex]\frac{1}{2}\times \text{Boundary of county Harding touching Adams}\times \text{Boundary of county Lincoln touching Adams}[/tex]

= [tex]\frac{1}{2}18\times 10[/tex]

= 90 square miles.

Answer:

Step-by-step explanation:

N is between points M and O

MN = x

MO = 3x - 6

NO = x + 1

The way it reads MN + NO = MO

x + x + 1 = 3x - 6

2x + 1 = 3x - 6

2x - 2x +1 = 3x -2x - 6

1 = x - 6          

1 + 6 = x

x = 7

MO = 3x - 6

MO = 3*7 - 6

MO = 21 - 6

MO = 15

The numerical length of MO, given MN = x, MO = 3x - 6, and NO = x + 1, is 15.

Given the conditions of the problem, we can create the equation MO = MN + NO based on segment addition postulate in Geometry. This implies: 3x - 6 = x + x + 1, or 3x - 6 = 2x + 1. Solving this equation for x, you get x equals 7. Substituting x = 7 into MO = 3x - 6 gives you: MO = 3(7) - 6 = 21 - 6 = 15. So, the numerical length of MO,  given MN = x, MO = 3x - 6, and NO = x + 1, is 15.

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Answer:

the 25 lb bag costs more

Step-by-step explanation:

6.96 divided by 12 = 0.58

15.75 dived by 25 = 0.68

Answer: 25 pound costs more than the other one

Step-by-step explanation:

Answer:

1000 to the 10 th power

Step-by-step explanation:

Just put it into power form

Since Alisa wrote a comparison for set b using the ten thousands place. The strategy that she could have used is 1000¹⁰

So, Alisa's strategy for comparing numbers in Set B using the ten thousand place involves focusing on a specific digit position to simplify the comparison process.

In Set B, the numbers are 492,111 and 409,867. By looking at the ten thousand place, which is the fourth digit from the right, Alisa can break down the comparison to:

Since 2 is greater than 0, Alisa can quickly deduce that 492,111 is larger than 409,867. This strategy is based on the idea that when numbers are similar in size, comparing them digit by digit can help us easily figure out which one is bigger.

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See full text below

Alisa says it is easier to compare the numbers in set a (45,000, 1,025,680) instead of set b (492,111, 409,867). Alisa wrote a comparison for Set B using ten thousand place. Explain what strategy she could have used.

Answer:

1. -6

2. 35

3.-88

4. 12

hope it helps :)

Answer:

D. 3

Step-by-step explanation:

Rectangle S is ½ by 1½, so tripling each dimension would give you S':

½ x 3 = 1½

1½ x 3 = 4½

1½ x 4½ are your new dimensions, and are genuine dimensions!

I am joyous to assist you anytime.

The correct fraction is [tex]\(\frac{456}{1000}\)[/tex].

To convert the decimal 0.456 to a fraction, one can follow these steps:

1. Write the decimal as a fraction with a denominator of 1000, since there are three digits after the decimal point. This gives us [tex]\(\frac{456}{1000}\)[/tex].

2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 456 and 1000 is 8.

3. Divide both the numerator and the denominator by 8 to get the simplified fraction:

[tex]\(\frac{456 \div 8}{1000 \div 8} = \frac{57}{125}\)[/tex].

Therefore, the decimal 0.456 expressed as a simplified fraction is [tex]\(\frac{57}{125}\)[/tex].

Thought I already answered this.  I must have forgotten to click "add your answer."

We have similar triangle trianges ABC ~ ADE so

BC:AB = DE:AD

BC:2  = 10 : (2+3) = 10:5 = 2:1

So BC=4 because 4:2 = 2:1

Choice C.

Answer:

The GCF of 32 and 56 are 8.

Step-by-step explanation:

Answer above! Enjoy! :)

Answer:

right angel obtuse angle and i cant remember the other angle

Answer: the answer is D

Step-by-step explanation:

The length of third side of the triangle ABC cannot be D) 35.

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that,

For a triangle ABC,

Length of side AB = 8 units

Length of side BC = 25 units

We have that,

The third side of the triangle will be in the range of the sum and the difference of the other two side lengths.

So side AC can be in the range,

25 - 8 < AC < 25 + 8

17 < AC < 33

Hence the length 35 cannot be possible since it does not contain in the range.

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Answer: x=20

y= 17/4

Step-by-step explanation:

x=37-4y

111-16y=43

y=17/4

x=20

Answer:

Discount = $10

Sales Price = $30

Step-by-step explanation:

Discount

= 25% of marked price

= 25% x $40

= (25/100) x 40

= $10  

Sales price = Marked price - Discount = $40 - $10 = $30

To fill the tank, multiply 2/5 by the tank's capacity of 20.25 gallons.

To find the number of gallons it will take to fill the tank, we need to determine how much more fuel is needed to make the tank full. We can do this by subtracting the current amount of fuel in the tank from its full capacity. The tank is 3/5 full, so the remaining amount of fuel needed to fill the tank is 2/5 of its capacity. Since the capacity of the tank is given as 20.25 gallons, we can calculate the number of gallons needed to fill the tank by multiplying 2/5 by 20.25:

2/5 * 20.25 = 8.1 gallons

Therefore, it will take 8.1 gallons to fill the tank.

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Answer:

a) 0.05m

b) 5 cm

Step-by-step explanation:

See it in the pic

Answer:

1 3/5

Step-by-step explanation:

10 = 10/1

4*10=40

25*1=25

40/25

now simplify:

40/5=8

25/5=5

8/5 = 1 6/10 = 1 3/5

hope this helps

The given expression in its simplest form is [tex]1\frac{3}{5}[/tex]

From the question,

We are to write the given expression in its simplest form

The given expression is 4/25 x 10

First, we will write the expression properly.

The expression can be written as

[tex]\frac{4}{25} \times 10[/tex]

The expression can be simplified as shown below

[tex]\frac{4}{25} \times 10[/tex]

This becomes

[tex]\frac{40}{25}[/tex]

Then,

[tex]1\frac{15}{25}[/tex]

In the simplest form, we get

[tex]1\frac{3}{5}[/tex]

Hence, the given expression in its simplest form is [tex]1\frac{3}{5}[/tex]

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Answer:

1,265,622

Step-by-step explanation:

exponents mean you divide the number by itself however many times the exponent tells you to then you go from there

Answer:

He must spend no more that 25 minutes practising scales.

Step-by-step explanation:

5t + 35 ≤ 60

5t ≤ 25

t ≤ 5.

So the maximum time for practising the scales is 5*5 = 25 minutes.

Answer:

Sven should spend 5 minutes or less on each scale. Maximum times is 25 minutes.

Step-by-step explanation:

Total time to practice piano = 60 minutes

He would like to spend at least 35 minutes playing songs instead of practicing scales.

Let t is the number of minutes he spends on each scale.

The time spend on 5 scales = 5t

Time for playing songs = 60 - 5t

It is given that he would like to spend at least 35 minutes playing songs instead of practicing scales.  It means time for playing songs is greater than or equal to 35.

[tex]60-5t\geq 35[/tex]

Subtract 60 from both sides.

[tex]60-5t-60\geq 35-60[/tex]

[tex]-5t\geq -25[/tex]

Divide both sides by -5. If an inequality is divided or multiplied by a negative number, then the sign of inequality is changed.

[tex]t\leq 5[/tex]

Sven should spend 5 minutes or less on each scale.

The maximum value of t is 5, so the maximum time spend on practicing scales is

[tex]\text{Maximum time}=5t\Rightarrow 5(5)=25[/tex]

Therefore, the maximum time is 25 minutes.

Answer:

2 and a half trips?

Step-by-step explanation:

i did 3.75/1.5 and got 2 .5 soooo i think thats it.

Answer:

Three  

Step-by-step explanation:

[tex]\begin{array}{rcl}\\\text{Number of tons} & = & \text{Number of trips} \times \dfrac{\text{number of tons}}{\text{1 trip}}\\\text{3.75 t} & = & \text{Number of trips}\times \dfrac{\text{1.5 t}}{\text{1 trip}}\\\dfrac{3.75}{1.5} & = & \text{Number of trips}\\\text{Number of trips} & = & 2.5\\\end{array}[/tex]

Jason can't make 2.5 trips.

He can make two trips carrying a full load and another trip carrying a half-load.

That makes three trips.

Answer:

Colleen

Step-by-step explanation:

Gabby spent less than Mark

Mark>Gabby

Mark spent less than Layla

Layla>Mark>Gabby

Layla spent less than Colleen

Colleen>Layla>Mark>Gabby

Answer:

Colleen

Step-by-step explanation:

It says that:

Gabby spent less than Mark. Therefore Gabby<Mark

Mark spent less money than Layla. Therefore Mark<Layla and Gabby<Mark<Layla

Layla spent less money than Colleen, so Layla<Colleen and Gabby<Mark<Layla<Colleen.

Colleen spent the most money.

There are 10 4-seated cars at the carnival.

We are given that there are two types of cars at the carnival, one with 2 seats and one with 4 seats. We also know that there are a total of 25 cars and they can seat 70 children in total.

Let's assume the number of 2-seated cars is x and the number of 4-seated cars is y. We can set up a system of equations to represent the given information:

We can solve this system of equations using substitution or elimination method. Let's solve it using elimination method:

So, there are 10 4-seated cars at the carnival.

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The carnival ride question can be solved using a system of equations with two variables representing the number of 2-seated and 4-seated cars. After setting up and solving the equations, we find there are 10 4-seated cars and 15 2-seated cars.

To tackle this problem, we need to set up two equations based on the seats and cars information given. Let's define x as the number of 2-seated cars and y as the number of 4-seated cars. The problem states that there are a total of 25 cars, which gives us the equation:

x + y = 25

Furthermore, we know that the total number of seats across all cars is 70. Since 2-seated cars contribute 2x to the total number of seats and 4-seated cars contribute 4y, we have the second equation:

2x + 4y = 70

To solve for y, we can manipulate these equations using substitution or elimination. For this example, let's use elimination. Divide the second equation by 2 to simplify it:

x + 2y = 35

Now subtract the first equation from this simplified second equation:

y = 35 - 25

y = 10

So, there are 10 4-seated cars. To find the number of 2-seated cars (x), substitute y back into the first equation:

x + 10 = 25

x = 25 - 10

x = 15

Thus, there are 15 2-seated cars.

Answer: The correct answer is 2378. Though,maybe the answer that was given to you is wrong.

Step-by-step explanation: 82 x 29 =2378

Answer:

Y=$15x+$20

Step-by-step explanation:

Answer:

Music artist

Why:

Well, if this wasn't the question please explain to me what I'm answering!

Answer:

yes

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Take the denominator and set it to equal 0. We do this since the expression will be going towards 0, but never actually hitting it. This is due to you NEVER being able to divide by zero. Research about why, it's actually quite fascinating! So the entire expression would forever be chasing what ever makes the denominator equate to zero.

So, let's do that.

Set 2x-8 equal to zero.

0=2x-8

Once we do some simple math, we find that 4 is what we're looking for.