Write an algebraic expression for each word expression:
A number h divided by 4.2

Answer:

Independent: Time

Dependent: Views

Step-by-step explanation:

Independent variables are the things that are purposefully altered.

Dependent variables are the things that change in response to the independent variables being changed.

As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.

Answer:

The answer choices are garbled.

Step-by-step explanation:

(18 pints)/(8 bottles) = (9/4) pint/bottle

2 and 1/4 pints per bottle

1inch = 2.5cm

∆ 30cm

5cm =2inch

Answer:

Centre (5,-9) and radius is 14

Step-by-step explanation:

The circle equation is of form,

[tex] = > {(x - a)}^{2} + {(y - b)}^{2} = {r}^{2} [/tex]

where centre is (a,b) and radius is 'r'.

answer key

78.4

Step-by-step explanation:

Multiply 7 x 4 =28

Then Multiply  28 x 2.8 = 78.4

That's how you get your answer ∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞∞  hope that helps out

Answer:

[tex]\frac{31x-159}{168y}[/tex]

Step-by-step explanation:

[tex]\frac{x-4}{7y}[/tex] - [tex]\frac{x+7}{8y}[/tex] + [tex]\frac{x+3}{6y}[/tex]

the LCD of the denominators is 168y , then

[tex]\frac{24(x-4)-21(x+7)+28(x+3)}{168y}[/tex] ← distribute and simplify numerator

= [tex]\frac{24x-96-21y-147+28x+84}{168y}[/tex]

= [tex]\frac{31x-159}{168y}[/tex]

Answer:

[tex]\frac{31x - 159}{168y}[/tex]

Step-by-step explanation:

First we need to find a common denominator between 7y, 8y, and 6y. And the smallest common denominator is 336y, which I got by multiplying 7*8*6 and since they all share y, we can just keep the y without multiplying it.

Now, we need to multiply each fraction by the correct number on the top and bottom to reach 336. When we do this, we get [tex]\frac{x-4}{7y} (\frac{48}{48} ) - \frac{x+7}{8y}(\frac{42}{42}) + \frac{x+3}{6y}(\frac{56}{56})[/tex]. OMG. Well, now we need to expand the numerators...[tex]\frac{48x - 192}{336y} - \frac{42x + 294}{336y} + \frac{56x + 168}{336y} = \frac{62x - 318}{336y}[/tex]. Another OMG. But now we need to simplify...so we get [tex]\frac{31x - 159}{168y}[/tex]. Done.

Hope this helps! :)

Answer:

10.3

Step-by-step explanation:

Volume of a sphere

 V = 4/3 pi r^3

4574.9  = 4/3 (3.14) r^3

r= 10.3 in

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Using a system of equations, it is found that Teresa's password in the 7th day of the month is of 98.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The rule for her password is defined as follows: A whole number that is equal to four times the fourth power of the day of the month divided by two times the square day of the month. Hence, considering n as the day of the month, the equation is given by:

[tex]P = \frac{4n^4}{2n^2} = 2n^2[/tex]

Hence, for the 7th day, the password is given by:

P = 2 x 7² = 98.

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The constant of proportionality between y and x in the graph is 3/2 option third is correct.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

We have a graph shown in the picture.

As we can see, the given graph shows a line, which passes through (0, 0)

y = ax

a is the constant of proportionality.

We have two points (0, 0) and (6, 9) (from the graph)

From the above two points, we can find the equation of a line.

y = (9/6)x

y = (3/2)x

The value of the constant of proportionality is 3/2

Thus, the constant of proportionality between y and x in the graph is 3/2 option third is correct.

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The coordinates of vertex B' are (-1,3)

Reflection is a mathematical transformation in which a image of an object is formed by flipping it over a reflection line a distance equal to the distance of the object from the reflection line.

Analysis:

When an object is reflected along the y-axis, only the the x-coordinate changes , if reflected along the x-axis, only the y-coordinate changes.

So vertex B' is a reflected vertex along the y- axis since it is at x=2

The distance of the x-coordinate of vertex B from the mirror line is 5-2 = 3

so the x-coordinate of vertex B' is going 3 units away from the mirror line which is at -1.

So the coordinates of vertex B' are (-1,3)

In conclusion, the coordinates of vertex B' reflected over the line X= 2 are (-1,3)

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Answer:

30

Step-by-step explanation:

let unknown angle = x

cos = adjacent / hypotenuse

adjacent of ? = 13

hypotenuse = 15

cos(x) = (13/15)

==> take inverse cos of both sides

x = 30 (rounded)

Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite

Answer:

Y = 23

Step-by-step explanation:

In the equation (y = -3x + 11) the X is the input value. When you replace this by -4 you will multiply -4*-3 which will give you 12 and then you will want to add 11 as that is your y intercept. Giving the value of your Y a 23, or the point would be (-4,23)

[tex]\cfrac{2}{x+4}~~ + ~~\cfrac{x}{x-3}\implies \cfrac{(x-3)2~~ + ~~(x+4)x}{\underset{\textit{using this LCD}}{(x+4)(x-3)}} \\\\\\ \cfrac{2x-6+x^2+4x}{(x+4)(x-3)} \implies \cfrac{x^2+6x-6}{(x+4)(x-3)}\qquad x\ne -4,3[/tex]

why can't it be -4 or 3? for if it ever does become -4 or 3, the denominator will turn to 0, giving an undefined fraction.

Answer:

a + b = 27

=> a = 27 - b

ab = 50

So, (27 - b) x b = 50

27b - b^2 = 50

b^2 - 27b + 50 = 0

Solving, b = 25, 2

Hence,

Case 1: b = 25, a = 2

Case 2, b = 2, a = 25

Answer:

2, 25

Step-by-step explanation:

Let the numbers be x and y :

Rearrange the first equation so it is equal to one variable :

Substitute the value in the second equation :

Answer:

[tex]\frac{4}{12}[/tex] or [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{4}{12}[/tex]

Answer:

Step-by-step explanation:

1.169

Answer:

8^2−38+85+3√8 =111+6√2

(Decimal: 119.485281)

Answer:

16 more games

Step-by-step explanation:

4 is highest for football but basketball has 2 high scores for 8 games and 2 of those games where high points so add 8+8 and you get

                                16

Answer:

  $2.34

Step-by-step explanation:

The total cost is the sum of the number of pounds multiplied by the cost per pound for each of the items purchased. Each of the four equal shares of the cost will be 1/4 of the total cost.

__

The distributive property can be used to simplify the problem.

  total cost = cost of apples + cost of pears

  share cost = 1/4(total cost) = 1/4((2.4 lb)($1.65/lb) +(2.4 lb)($2.25/lb))

  share cost = (1/4)(2.4)($1.65 +2.25) = 0.6($3.90)

  share cost = $2.34

Each of them should pay $2.34 for the apples and pears.

Answer:

option A infinite rational values of x greater than 500

Step-by-step explanation:

i just finished the quiz on edge

Answer:

[tex]let \: \alpha \: be \: the \: 45 \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(45) = \frac{x}{3 \sqrt{2} } \\ 1 = \frac{x}{3 \sqrt{2} } \\ x = 3 \sqrt{2} \\ by \: using \: pythagoras \: therom \\ {y}^{2} = {3 \sqrt{2} }^{2} + {3 \sqrt{2} }^{2} \\ {y}^{2} = 18 + 18 \\ y = \sqrt{36} \\ y = 6[/tex]

Step-by-step explanation:

hope this will help you

Answer:

put the line on y= -2

Step-by-step explanation:

The figure ABC is reflected along the line y = -2 and the new coordinated will be A(-2, -4), B (3, 0), and C (-2, -7).

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.

Given:

The coordinates of the figure of ABC is given as A(-2, 0), C(-2, 3), and B(3, -4),

The new coordinates of A'B'C' are A(-2, -4), B(3, 0), and C(-2, -7),

If the given figure is reflected as y = -x,

Then, the coordination will change like (-y, -x),

Thus, the new coordinates of ABC will be A(-2, -4), B (3, 0), and C (-2, -7).

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Answer:

I think none are solutions

Answer:207

Step-by-step explanation:

First divide 72/8 to find how many photos the scanner scans per minute which is 9

Then you multiply 9 by 23 = 207

Answer:

Step-by-step explanation:

Count the number of scores greater than 65

Total number is

Note: none of answer choices reflect this

Answer:

68 student hope that helps

Answer:

25 N to the left

Step-by-step explanation:

The net force is equal to the differences in magnitudes of the forces acting on it.

Take the left direction to be positive (+) and right direction to be negative (-).

Solving :

Net Force = Force (left) - Force (right)

Net Force = 10 + 20 - 5

Net Force = 30 - 5

Net Force = 25 N to the left

F_net

Answer: Population: all the ham meat; Sample: four random places in the ham

Step-by-step explanation: I just took the test and got it right

Answer:

fraction :4

Step-by-step explanation:

Answer:

q 3 = 3/12.2/9 q4 = 15/40.14/39