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3 years ago

Marta drew a rectangular poster.

Mathematics

1 answer:

lilavasa [31]3 years ago

7 0

Answer:

1/2 yard

Step-by-step explanation:

Multiply the top numbers (the numerators). Which would give you 6.

Multiply the bottom numbers (the denominators). Which would leave you with 12.

Simplify the fraction if needed. 6/12 can be simplified down to 1/2

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A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system

egoroff_w [7]

Answer:

So such system with fewer equations than unknowns can never have a unique solution.

Step-by-step explanation:

Linear equations are equations which contain variable with degree 1.

The variables can be 1 or 2 or any other number

say there are n varaibles

Then to solve this we must have n independent equations.

If number of equations are less than number of variables we can have parametric solutions only with infinite points lying on it.

There is no chance for this to have a unique solution.

For unique solutions, there must be equal number of equations with the variables and the determinant formed by the coefficients should not be 0.

So such system with fewer equations than unknowns can never have a unique solution.

3 0

4 years ago

Jim sells candy bars to his family and friends as a fundraiser. The plain chocolate bars costs $1.50, and the king size chocolat

Zarrin [17]

Answer:

38 plain chocolate bars and 17 king-size chocolate bars.

Step-by-step explanation:

Let's define the variables:

P = number of plain chocolate bars sold

K = number of king chocolate bars sold

We know that each plain one costs $1.50, and each king one costs $2.25, then the total revenue is:

P*$1.50 + K*$2.25

Now we know that Jim sells a total of 55 candy bars, then:

P + K = 55

And we know that the total revenue is $95.25, then:

P*$1.50 + K*$2.25 = $95.25

Then we have the system of equations:

P + K = 55

P*$1.50 + K*$2.25 = $95.25

To solve this we need to isolate one of the variables in one of the equations, I will isolate P in the first equation to get:

P = 55 - K

Now we can replace is on the second one to get:

(55 - K)*$1.50 + K*$2.25 = $95.25

Now we can solve this for K

$82.50 - K*$1.50 + K*$2.25 = $95.25

K*($2.25 - $1.50) = $95.25 - $82.50 = $12.75

K*$0.75 = $12.75

K = $12.75/$0.75 = 17

This means that Jim sold 17 king-size chocolate bars.

Now we can replace this in the equation:

P + K = 55

P + 17 = 55

P = 55 - 17 =38

P = 38

Jim sold 38 plain chocolate bars.

6 0

3 years ago

Whats 2+2? geng geng geng geng geng

I am Lyosha [343]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help ASAP!!!

slavikrds [6]

Answer:

a) the platform is 110 feet above the ground.

b) It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: $f(x) = -5x^2 + 40x + 30\\$

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: $x=-\frac{b}{2a}$

we have b = 40 and a = -5

Putting values and finding x

$x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4$

Now putting x=4 in the function to find how high above the ground is the platform

$f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110$

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function $f(x) = -5x^2 + 40x + 30$ to find the time taken to hit the ground.

We can solve the equation using quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =-5, b=40, c=30

Putting values and finding x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69$

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

3 0

3 years ago

What is the width of a rectangle with an area of 5/8in2 and a length of 10inches

Aneli [31]

Area = length * width
5/8 = 10 * width
width = (5/8) / 10
width = 1 / 16
width = 0.0625 inches

6 0

3 years ago