quick I need help quick Morgan rode her bike. 2 kilometers from her house to her friend's house from her friend's house she rode 600m in all going to and from the library then she rode back home how many meters did Morgan like in all

Subtracting a-4 from 4a+16 and then simplifying the expression will be 3a + 20.

This is a simple expression and we have to subtract a-4 from 4a+16 and then simplify the answer. This will be:

(4a + 16) - (a - 4)

= 4a - a + 16 + 4

= 3a + 20

In conclusion, based on the calculation above, the answer is 3a + 20.

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Final answer:

Email was invented 26 years after the completion of the first recognized computer in 1945.

Explanation:

The first computer is often attributed to the work carried out during World War II, with machines like ENIAC, completed in 1945, incorporating vacuum tubes and filling entire rooms. However, the question references a machine called ROACH, which seems to be a typo or a misunderstanding; we usually refer to ENIAC as one of the first computers. Email, on the other hand, was invented in 1971 by Ray Tomlinson. Calculating the difference between the years when the first computer was completed and when email was invented gives us the number of years it took for email to be developed after the advent of the computer.

To find this, we subtract the year the first computer was completed, 1945, from the year email was invented, 1971:

Email was invented 26 years after the completion of the first computer.

The system of equations has a solution at (9, 7), which is an option (b).

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

The given equations are:

3x-3y=6

6x-7y=5

Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:

6x - 6y = 12

6x - 7y = 5

Subtract the first equation from the second equation to eliminate x:

0x - y = -7

y = 7

Substitute y = 7 into one of the original equations and solve for x:

3x - 3y = 6

3x - 3(7) = 6

3x - 21 = 6

3x = 27

x = 9

Therefore, the solution to the system of equations is (9, 7), which corresponds to option (b).

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Heads - 9

Tails - 16

----

Probability of heads = 9/25 = 0.36 = 36%

Probability of tails = 16/25 = 0.64 = 64%

----

Heads = 36%

Tails = 64%

----

The experimental probability basically says the answer but the theoretical probability clears out the answer.

Answer:

D. [tex]y=5x[/tex]

Step-by-step explanation:

We have been given a table of values. We are asked to find the equation that shows the relationship between x and y.

x          y

0         0

1           5

2         10

3         15

Upon looking at our given table, we can see that with each increase in x value, the value of x increases by 5. This means that slope of our given line is 5.

We can also see that initial value or y-intercept is 0.

Upon substituting our given values in slope intercept form of equation, we will get:

[tex]y=5x+0[/tex]

[tex]y=5x[/tex]

Therefore, our required equation is [tex]y=5x[/tex] and option D is the correct choice.

Answer:

B the second graph

Step-by-step explanation:

Have trust in me and give brainiest

The total cost of Parker's college tuition, rounded to the nearest dollar, is $17,952.

If Parker was able to pay for 44% of his total college tuition with his scholarship, this means that the $10,054.52, which he paid using his student loan, represents the remaining 56% of his tuition cost. Therefore, to find the total cost of tuition, we need to divide the amount he paid with a loan by 0.56. Performing this calculation gives us:

$10,054.52 / 0.56 = $17,952.00

Therefore, the total cost of Parker's tuition rounded to the nearest dollar is $17,952.

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Answer: middle

Step-by-step explanation:

To find the number of units the company needs to sell to make maximum profit, we need to find the vertex of the parabola represented by the profit function. The vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, the company needs to sell 1500 units to make a maximum profit.

The profit function is given as p(x) = -2[tex]x^2[/tex] + 60x - 2, where p is the profit in thousands of dollars and x is the number of units sold in hundreds. To find the quantity that yields the maximum profit, we need to find the vertex of the parabola represented by the profit function. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic function. In this case, a = -2 and b = 60. Plugging these values into the formula, we get x = -60 / (2*(-2)) = 15. Since x represents the number of units sold in hundreds, the company needs to sell 1500 units to make a maximum profit.

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Total money nickles are worth of = $2.5

Let number of nickles coins be 'x'

Let number of dime coins be 'y'

Let number of quarter coins be 'z'

we have,

x + y + z = 100      and x = y +z

on solving the two equations, we get x = 50

1 nickle = 5 cents

50 nickles = 250 cents = $2.5

Answer:

The y-coordinate of the solution is, 10

Step-by-step explanation:

Given the system of equation:

[tex]y = -2x+4[/tex]            ....[1]

[tex]y=x^2+4x+13[/tex]         ....[2]

Equate the equation [1] and [2] we have;

[tex]-2x+4 = x^2+4x+13[/tex]

Add 2x to both sides of an equation:

[tex]4 = x^2+6x+13[/tex]

Subtract 4 from both sides we have;

[tex]0= x^2+6x+9[/tex]

or

[tex]x^2+6x+9=0[/tex]

Using perfect square:

[tex](x+a)^2 = x^2+2ax+a^2[/tex]

⇒We can write the equation as:

[tex]x^2+2 \cdot 3x+3^2=0[/tex]

then;

[tex](x+3)^2 = 0[/tex]

⇒[tex]x+3 = 0[/tex]

Subtract 3 from both sides we have;

x = -3

Substitute value of x in [1] we have;

[tex]y = -2(-3)+4[/tex]

⇒[tex]y =6+4=10[/tex]

Solution for the given system of equation = (-3, 10)

Therefore, the  y-coordinate of the solution is, 10

Answer:

Step-by-step explanation:

The cylinder has a greater volume than the sphere when both have the same diameter and the cylinder's height is equal to its diameter, as the formulas for their volumes show that V_cylinder > V_sphere.

The question asks which shape has a greater volume: a sphere with the same diameter as a cylinder or a cylinder where the height is equal to the diameter. To solve this, we need to compare their volumes using mathematical formulas.

The volume of a sphere with radius r is given by V_sphere = (4/3) * π * r^3. Since the diameter of the cylinder is the same as the diameter of the sphere, we can use the same value for r, where r is half of the diameter.

The volume of a cylinder with radius r and height h (which, in this case, is also 2r) is calculated as V_cylinder = π * r^2 * h. For the cylinder, since h = 2r, we substitute to get V_cylinder = π * r^2 * (2r) = 2 * π * r^3.

Comparing the two volumes, it is clear that the volume of the cylinder (2 * π * r^3) is greater than that of the sphere ((4/3) * π * r^3). Therefore, the cylinder has a greater volume than the sphere when both shapes have the same diameter and the cylinder's height is equal to its diameter.

The value of the expression 24 – (7 + 5) ÷ 6 + 8 is: 30

What is BODMAS rule?

The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule is used.

In the question, The given expression is 24 – (7 + 5) ÷ 6 + 8.

we will solve this expression using the BODMAS rule

which states the order of the operator in which we should use them in an expression.

That is:

B for brackets;

O: for of

D: for Division

M: for Multiplication

A: for Addition

S: for Subtraction

So, using the same in the given expression:

24 – (7 + 5) ÷ 6 + 8

Removing the bracket by solving it first:

⇒24 – 12 ÷ 6 + 8

After that: Divide :

⇒24-2+8

Then Addition:

⇒32-2:

At last: by subtraction, we get:

⇒30

Hence, the value of the expression 24 – (7 + 5) ÷ 6 + 8

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The length of the garden will be 8 feet.

It should be noted that the area of a square is gotten by multiplying its lengths together. For example, the area of a square with length of 2cm will be: = 2 × 2 = 4cm²

Therefore, since the square garden has an area of 64 square feet, the length of the garden will be:

= ✓64

= 8 feet

Therefore, the length is 8 feet.

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