Celeste and Dora both offer guitar lessons. Celeste charges an initial fee of $5.00, and an hourly rate of $7.25. Dora has an initial fee of $10.25, and an hourly rate of $6.50. The equation 7.25h + 5 = 6.5h + 10.25 represents the scenario. At how many hours of instruction will the cost be the same for both instructors?

Hi!

Here is the leaf plot:

6 ║ 5, 6, 7, 8 , 9

7 ║0, 2

Amy's conjecture can be improved by including a limit.  Since any number greater than one multiplied by itself will be greater (for example, 2x2 = 4).  But, any number less than one (excluding zero, but including negatives) will yield a smaller result.

Amy's conjecture should be

"When a number greater than 1 is multiplied by itself, the product will be greater than the starting number,"

Doubling the number of giant solar power calculation plants from 14 to 28 would theoretically power double the number of homes, which is approximately 257,142 homes.

If 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes, we can calculate the number of homes that 28 solar panels can power by first determining the number of homes one plant can supply energy for.

Powering 1.8 million homes with 14 plants means each plant powers 1.8 million / 14 = 128,571 homes approximately.

If we assume a direct scale-up, doubling the number of solar power plants to 28 would theoretically double the number of homes that can be powered, hence 28 plants would power 128,571 homes × 2 = 257,142 homes approximately.

However, the question seems to have a typo because usually power capacity is specified for power plants and not individual solar panels.

So, doubling the number of solar panels, not power plants, wouldn't necessarily mean doubling the total power capacity because individual solar panels have a much smaller capacity than an entire power plant.

Learn more about solar power calculation here:

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[tex]\sqrt[3]{x}[/tex]

The cubed root of x is written as:

[tex]\sqrt[3]{x}[/tex]

FYI: You need THREE like terms on the inside of the radical to move the term to the outside.

¾ + ( - 2 ½) = - 1 ¾

Answer:

$290.50

Step-by-step explanation:

121.04 * 80% = 96.832

121.04 - 96.832 = 24.208

24.208 * 12 = 290.496 ~ 290.50

Answer:

57 days

Step-by-step explanation:

Given that there was a beautiful Japanese garden.

Also given that within the garden, there is a pond.

Since the beginning of summer, lilies have started to cover more and more of it with every passing day.

In fact, the quantity of lilies doubles every day.

By day 58, the entire pond will be covered.

Since given that every day lilies double, we find that if on 58th day it was full, then exactly one day before it should be 1/2 of pond.  In that case only, on 58th day pond can become full.

Hence half pond is filled with lilies in 57 days.

1. 252 beacuse 21 x 12= 252

2. 3780 Now 252 x 15=3780

Using the multiplication operation, the number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

The approximate distance around Lake C = 21 miles

Number of hiking days = 12

Hence, the number of miles hiked by Margot will be :

Keenan hiked 15 times as far as Margot :

Therefore, the Number of miles hiked by Margot and Kennan are 252 miles and 3780 miles respectively

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Answer:

A because you can only add values with the same variable. You add 2.3x plus 2x which gives you 4.3x then you subtract .2x which gives you 4.1. Lastly you add 15 and 14 which gives you 29

Step-by-step explanation:

Answer:

128 miles

Step-by-step explanation:

Given that a car rental company charges a $25.00 base fee plus $0.10 per mile driven to rent a car.

Let us represent y as total charges and x no of miles driven

Even if x=0, y= 25 (base fee)

SO y intercept =25

Slope = charge per drive = 0.10

So equation is

y =0.1x +25

To find out how many miles did a customer drive if the customers bill was $37.80, we can use the above equation.

y = 37.80 and x =?

37.80=0.1x+25

0.1x = 12.80

x = 12.80/0.1 = 128 miles

Vertical angles are always equal.

So you can set the equation up like this:

5x + 10 = 7x - 12

Subtract 5x from both sides. Then Add 12 to both sides.

22 = 2x

Divide both sides by 2.

11 = x

Vertical angles are equal, so we set the expressions 5x + 10 and 7x - 12 equal to each other and solve for 'x', resulting in the value of 'x' being 11.

The student is asking about vertical angles, which are angles opposite each other when two lines cross. In this case, m angle E and m angle F are vertical angles with given expressions for their measures. According to the property of vertical angles, they are equal. This means we can set the expressions for their measures equal to each other and solve for 'x'.

The equations given are:

Since m angle E = m angle F, we write:

5x + 10 = 7x - 12

Now, let's solve for 'x':

So, the value of 'x' is 11.

it is an odd number. it is also a prime number . ie only divisible by one and  itself.

60 degrees?

hope this helps

If the temperature was 80 and it fell to 20 you need to subtract 20 from 80 than giving you the difference in temperature witch is 60 degrees difference.

FINAL ANSWER 60 Degrees Difference.

Hope that helps

Daniel

The fact that an oncoming plane passed is irrelevant to what we need to find, so we can ignore that.

The math statement it's asking you to solve is this:

0+21000-(4329+8543)

The reason we are adding 4329 and 8543 is to make it easier on the subtraction. Since both of those terms are being subtracted, we can combine them to make our problem one step shorter.

After simplifying the parentheses, we get:

21000-12872

After this it becomes simple subtraction to find the answer.

8128 is the answer, so your answer would be:

The plane is now flying at an altitude of 8,128 feet.

Answer:

Ur answer is

The plane was flying at 8,218 feet altitude

Step-by-step explanation:

This is easy u start off with 21,000 then subtract as needed

21,000-4329=16,671

16,671-8,453=8,218

So ur answer is 8,218

Answer:

y = x - 6

Step-by-step explanation:

The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1.  Thus,

y = mx + b becomes 2 = 1(8) + b, so that b = -6.

The desired equation is y = x - 6.

Check:  Does (8,2) lie on this line?  Is 2 = 8 - 6 true?  YES.

Answer:

Y=X-6

Step-by-step explanation:

JOOOHNNNNN CENNAAAAA

In order to build the sidewalk, they would need around 33  yrds^3 of concrete. This is because the problem is asking for the volume of the sidewalk. First, we need to convert everything into yards. The final answers we would get would be (5/3) (80) and (0.25). If we were to use the formula for volume, it would be V=lwh. With that incorporated, the answer would be 33.3333333 yrds^3 of concrete to be exact.

The volume of the sidewalk can be calculated using the formula for the volume of a rectangular prism, V = length x width x depth. The volume in cubic feet is then converted to cubic yards as concrete is sold in cubic yards. Therefore, approximately 33.3 cubic yards of concrete are needed for the sidewalk.

To calculate the amount of concrete needed for a sidewalk, we first need to find the volume of this sidewalk in cubic feet and then convert it to cubic yards because concrete is usually sold in cubic yards. The given dimensions of the sidewalk are 5 feet wide, 240 feet long, and a depth of 0.75 feet (9 inches).

The volume (V) of a rectangular prism (which in this case is the sidewalk) can be calculated using the formula V = length x width x depth. Therefore, V = 5 ft (width) x 240 ft (length) x 0.75 ft (depth) which gives us 900 cubic feet.

Next, we need to convert cubic feet to cubic yards because concrete is sold in cubic yards. One cubic yard is equivalent to 27 cubic feet. Therefore, the volume of concrete in cubic yards is 900 cubic feet ÷ 27 = 33.3 cubic yards. So, you will need approximately 33.3 cubic yards of concrete to build this sidewalk.

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Answer:it is isolating one of the variables...

Step-by-step explanation:

Apex

Answer:

isolating the variable

Step-by-step explanation:

[tex]h(x)=\dfrac{x^2}{8-8x}\\\\h'(x)=\left(\dfrac{x^2}{8-8x}\right)'\\\\\text{use}\ \left(\dfrac{f(x)}{g(x)}\right'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=\dfrac{2x(8-8x)-x^2(-8)}{(8-8x)^2}=\dfrac{16x-16x^2+8x^2}{(8-8x)^2}=\dfrac{16x-8x^2}{(8-8x)^2}[/tex]

Final answer:

Zoey needs 168 carpet squares to cover her bedroom floor that measures 12 feet by 14 feet, since each carpet square covers 1 square foot.

Explanation:

Zoey wants to cover her bedroom floor with carpet squares where each square has an area of 1 square foot. Her bedroom measures 12 feet by 14 feet. To find out how many carpet squares she needs, we need to calculate the total square footage of her room by multiplying its length by its width.

The calculation will be:
Length × Width = 12 feet × 14 feet = 168 square feet.

Since each carpet square covers 1 square foot, Zoey will need a number of squares that equals the total square footage of her room. Therefore:

Total square footage = Number of carpet squares needed
168 square feet = 168 carpet squares needed.

Zoey will need 168 carpet squares to cover her bedroom floor completely.

Okay this is simple.

We willl use this equation

$11.45×38.25=X

If you do this problem you should get $437.96 as an answer

*Remember that fractions can be changed to decimals. Fractions mean division.

Answer:

James and Logan each are eating sandwiches. Logan finished his but then stole 1/3 of James' sandwich. James still has 5 times the parts of his sandwich then Logan. What fraction of a sandwich does Logan still have left?

Step-by-step explanation:

Logan stole 1/3 of James' sandwich resulting in Logan owning James 1/3 of a sandwich.

x-intercept = 4, y-intercept = - 3

to find the intercepts, that is where the graph crosses the axes

let x = 0, in the equation for y- intercept

let y = 0, in the equation for x- intercept

x = 0 : - 4y = 12 ⇒ y = - 3 ⇒ (0, - 3) ← y - intercept

y = 0 : 3x = 12 ⇒ x = 4 ⇒ (4, 0 ) ← x- intercept

Hey there...

So this is a tough question.....

Let's start with the x first, then we will go to y.

So, here is the x.

Explanation: To find the x intercept, make the y = (0). Since we know that x needs 0 for the y coordinate.

3x-4(0)=12

x=4.

So the intercept for x = 4.

Now we have to do the y.

Explanation: To find the y, make x = (0), since know that y needs 0 in the front of the number.

3(0)-4y=12

y=-3

So the y = -3.

Hope this helps.....

20(4×-2)

________

(4 - (-2))²

simplified;

20(-8)

_____

(6)²

simplified;

-160

______

36

simplified;

-4 16/36

simplified;

-4 4/9

You shift every point 6 units to the right and 6 units down. Check out the attached image below. In that image, I show point A moving to point A' in this fashion. Every other point (B and C) will move along this similar pattern. This is how the triangle ABC moves to A'B'C'

------------------------------------

In terms of an algebraic rule, it would be (x,y) --> (x+6, y-6). We add 6 to the x coordinate of each point. At the same time, we subtract 6 from each y coordinate.

For instance, A is at (-2,3). Add 6 to the x coordinate and we get (4,3). Now subtract 6 from the y coordinate and we end up with A' = (4,-3). Points B and C will be treated in a similar manner.

Note: Triangle ABC is called the pre-image ("pre" meaning "before") while A'B'C' is called the image.

Answer:

Denise made $57

Step-by-step explanation:

$12 * 3 = $36

$31 * 3 = $93

$93 - $36 = $57

∠AKJ ≅ AIH  because they are corresponding angles

  60° = AIH   by substitution

ΔAIH

∠A + ∠I + ∠H = 180°   per the triangle angle sum theorem

 x  + 60 + 56 = 180    substituted known values

 x +       116     = 180   added like terms

                    x = 64     subtracted 116 from both sides  

Answer: 64°