If George received $ 78.00 for his work at Weaver's Store, and he was paid $ 6.00 per hour, how many hours did he work?

Answer:

d.) Line AE

Step-by-step explanation:

We have been given a diagram. We are asked to find the intersection of planes ADE and BEA.

Upon looking at our given diagram, we can see that both planes intersect only at two points that are point A and E respectively.

We can also see that the line AE is a common side of both planes, therefore, line AE is the intersection of planes ADE and BEA.

The scientific notation of  0.00000003937  is 3.397 x [tex]10^{-8}[/tex]

A given number, equation, or expression is written in a format known as a scientific notation, which adheres to a set of principles. Large numbers like 8.6 billion are difficult to write in their numerical form since they are not only unclear but also time-consuming, and there is a potential that we may write a few zeros more or less. So, we utilise scientific notation to clearly describe extremely large or extremely small integers.

Given  number:

0.00000003937

Now, to make the number in standard form we have to write the number in 10 raise to power.

So, 0.00000003937

= 3.397 x [tex]10^{-8}[/tex]

Learn more about scientific notation here:

https://brainly.com/question/18073768

#SPJ5

Answer with Step-by-step explanation:

An explicit formula for the sequence

14,5,-4,-13...

given by Imran  is g(n)=14-9(n-1)

and by Aubrey is g(n)=14-9n

We have to determine who is right

g(n)= 14-9n

g(1)=14-9

    = 5

Hence, formula given by Aubrey is wrong

g(n)=14-9(n-1)

g(1)=14-9(0)=14

g(2)=14-9(1)=5

g(3)=14-9(2)= -4

g(4)=14-9(3)= -13

Hence, formula given by Imran is correct

Hence, correct option is:

Just Imran

Answer:

Only Imran

Step-by-step explanation:

Answer:c

Step-by-step explanation:

The answer is the square root of terms separated by addition and subtraction cannot be calculated individually.

To find expression cannot be rewritten as during the next step and explain.

Algebraic expressions are combinations of variables , numbers, and at least one arithmetic operation.

The statement that best explains why the expression cannot be rewritten as during the next step is that the square root of terms separated by addition and subtraction cannot be calculated individually.

So, the square root of terms separated by addition and subtraction cannot be calculated individually.

Learn more about expression here:

https://brainly.com/question/6684029

#SPJ5

Answer:

It took 2 hours and 15 minutes for the airplane to travel 1,991.25 Km

Step-by-step explanation:

In order to find the time, you need to use the fact that average speed = distance traveled/time taken, the problem gives you that the distance traveled is equal to 1,991.25 Km and the average speed is 885 Km/h.

So, you use these values to find the time taken as follows:

[tex]time = \frac{distance}{speed}=\frac{1991.25 km}{885 \frac{km}{h}} = 2.25 h[/tex]

2.25 is a number made by two parts: integer-part and fractional-part.

The integer-part is equal to 2 hours.

The 0.25 is the fractional-part and corresponds to the minutes. 0.25 in fraction is [tex]0.25 = \frac{1}{4}[/tex], the hour has 60 minutes, so when you divided by  [tex]\frac{1}{4}[/tex] you the get 15 minutes.

Answer:

He had a total of $43 at the beginning of the day

Step-by-step explanation:

Step 1

Express the amount of money Darryl had in the beginning as follows;

A=E+R

where;

A=initial amount he had at the beginning

E=total expenditure

R=total remainder after spending

In our case;

A=unknown

E=Amount spent on book+amount spent on compact disc+amount spent on magazine

E=(16+20+2)=$38

R=$5

Step 2

Substitute the values in the expression and solve for A;

A=(38+5)=43

He had a total of $43 at the beginning of the day

Answer:

[tex]3b^2+2b\geq 56[/tex]

Step-by-step explanation:

Here, b represents the number of boxes she purchased for this upcoming school year,

Also,  The number of markers in each box is two more than three times the number of boxes she purchased for this upcoming school year.

⇒ The number of marker in each box = 3b+2

Now, the total number of marker = Number of boxes × Number of marker in each box

[tex]=b\times (3b+2)[/tex]

[tex]=3b^2+2b[/tex]

Since, she plan to use at least 56 marker in the upcoming year,

That is, the total number of marker ≥ 56

[tex]\implies 3b^2+2b\geq 56[/tex]

Which is the required inequality that shows the given situation.

Answer:

the other person is correct

Step-by-step explanation:

Answer:

your answer is: A

Step-by-step explanation:

corresponding angles theorem.

Answer:

[tex]y\leq-3x+5[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area below the solid line (the gray area)

The slope of the solid line is negative

The y-intercept of the solid line is positive

The equation of the solid line is equal to [tex]y=-3x+5[/tex]

therefore

the equation of the inequality is equal to

[tex]y\leq-3x+5[/tex]

Answer:

true

Step-by-step explanation:

Answer:

3 feet = 36 inches...

THEN

8 x 36 = 288 inches squared!

Step-by-step explanation:

hope this helped

Answer:

[tex](24\sqrt{3}+72)\text{ square unit}[/tex]

Step-by-step explanation:

Since, the area of a regular hexagon is,

[tex]A=\frac{3\sqrt{3}}{2}a^2[/tex]

Where, a is the side of the hexagon,

Here, the base of the pyramid is a regular hexagon having side length,

a = 4 unit,

Thus, the base area of the pyramid is,

[tex]A_B=\frac{3\sqrt{3}}{2}(4)^2[/tex]

[tex]=\frac{48\sqrt{3}}{2}[/tex]

[tex]=24\sqrt{3}\text{ square unit}[/tex]

Now, the lateral face of the pyramid is a triangle having base = 4 unit and height = 6 unit,

Also, a hexagonal pyramid has 6 triangular faces,

So, the total lateral area of the pyramid is,

[tex]A_L=6\times \frac{1}{2}\times 4\times 6[/tex]

[tex]=\frac{144}{2}[/tex]

[tex]=72\text{ square unit}[/tex]

Hence, the total area of the pyramid is,

[tex]T.A.=A_B+A_L[/tex]

[tex]=(24\sqrt{3}+72)\text{ square unit}[/tex]

Answer:

[tex]24\sqrt3+72[/tex] Square units

Step-by-step explanation:

We are given that a pyramid which has a regular hexagonal base.

Side length of hexagonal base=Base of triangular face=4 units

Height of triangle=6 units

We have to find total area of the pyramid.

The total area of pyramid=[tex]A_B+A_L[/tex]

Where [tex]A_B[/tex]=Base area

[tex]A_L[/tex]=Lateral area

Area of hexagonal base=[tex]\frac{3\sqrt3}{2}a^2[/tex]

Where a= Side length

Now, area of hexagonal  base=[tex]\frac{3\sqrt3}{2}(4)^2=24\sqrt3[/tex] square units

Area of triangular face=[tex]\frac{1}{2}\times base\times height=\frac{1}{2}\times 6\times 4=12[/tex] square units

In pyramid , there are 6 triangular faces.

Therefore, lateral area of pyramid=[tex]6\times 12=72[/tex] square units

Substitute the values in the given formula then, we get

Total lateral area of given pyramid=[tex]24\sqrt3+72[/tex] Square units

Consider

2x – y = 7

y = 2x + 3

Subst. 2x+3 for y in the first equation: 2x - (2x + 3) = 7

This boils down to 0 + 3 = 7, which simply is not true and can never be true.

Thus, this system of equations has no solution.

Answer:

The system of x and y is no solutions.

C is correct

Step-by-step explanation:

Given: System of equation

[tex]2x-y=7[/tex]

[tex]y=2x+3[/tex]

We have system of equation and to solve for x

Using substitution method to solve for x and y

Substitute y=2x+33 into 2x-y=7

[tex]2x-(2x+33)=7[/tex]

[tex]2x-2x-33=7[/tex]

[tex]-33\neq 7[/tex]

-33 is not equal to 7.

We didn't get the value of x.

No solution for x and y

Hence, The system of x and y is no solutions.

The perimeter is equal to 60 feet and has the formula:

Perimeter = 2 l + 2 w

60 = 2 l + 2 w

The area is equal to 200 square feet and has the formula:

Area = l w

200 = l w

Rewriting area in terms of l:

l = 200 / w

Combining this with the perimeter formula:

60 = 2 (200 / w) + 2 w

60 = 400 / w + 2 w

Multiplying all by w:

60 w = 400 + 2 w^2

Dividing by 2 and rearranging:

w^2 – 30 w = - 200

Completing the square:

(w – 15)^2 = - 200 + (-15)^2

(w – 15)^2 = 25

w – 15 = ±5

w = 10, 20

Hence the dimensions of the garden is 10 feet by 20 feet

The width and length of the rectangular garden, given an area of 200 square feet and a total available perimeter of 60 feet, are 10 feet and 20 feet respectively.

To solve this problem, we can use the formula for the area of a rectangle, which is length × width = area, and the perimeter of a rectangle, which is 2(length + width) = perimeter. We know the total perimeter available (which is the ornamental fencing) is 60 feet and the area is 200 square feet.

Let's denote the length of the rectangle as L and the width as W. We can then set up these two equations:

We can simplify the first equation to get L + W = 30 and then isolate either L or W to substitute into the area equation. Let's isolate L to get L = 30 - W.

We then substitute this into the area equation to get: (30 - W)W = 200. Solving this quadratic equation, the possible solutions are W=10 and W=20. However, if W=20, that would leave 0 feet for the length, which is not possible. Therefore, we have W=10 and L=20.

https://brainly.com/question/31677552

#SPJ11

The equation of the line passing through the point A (2, 0) that is parallel to the line y = 3x - 5 is y = 3x - 6.

To find the equation of a line parallel to the line y = 3x - 5 and passing through point A (2, 0), we can use the fact that parallel lines have the same slope.

The given line has a slope of m = 3. Therefore, any line parallel to it will also have a slope of m = 3.

Now, using the point-slope form of the equation of a line, which is:

[tex]\[ y - y_1 = m(x - x_1) \][/tex]

where m is the slope of the line and [tex](x_1, y_1)[/tex] is a point on the line, we can substitute the values we know:

For point A (2, 0):

[tex]x_1[/tex] = 2

[tex]y_1[/tex] = 0

Slope m = 3

The equation becomes:

y - 0 = 3 (x - 2)

y = 3x - 6

This line has the same slope as the given line, y = 3x - 5, and passes through the point A (2, 0). Therefore, it is parallel to the given line and passes through the given point.