(15x2 – 24x + 9) ÷ (3x – 3)

Answers

Answer 1
Answer: \bf 15x^2-24x+9/ 3x-3\implies \cfrac{15x^2-24x+9}{3x-3}\implies \cfrac{\underline{3}(5x^2-8x+3)}{\underline{3}(x-1)}\n\n\n\cfrac{5x^2-8x+3}{x-1}\implies \cfrac{(5x-3)\underline{(x-1)}}{\underline{(x-1)}}\implies 5x-3

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Answers

The diagonal of a rectangle forms a right triangle with the length and the width. So the square of the diagonal is the length squared plus the width squared.

The square pyramid has a volume of 972 cubic inches. What are the dimensions of the pyramid?Please Help! ☺

Answers

Volume of Pyramid is given by 1/3 base area x height

From the figure we see the base have equal side x so it is a square .Are of

Base = area of square.

Area of base = area of square = x .x = x2

Volume of Pyramid = 1/3 . base area .height

Volume of Pyramid = 972 cubic inches given.

Height of Pyramid= ½ x inches .

Substituting the values of volume ,height and base area we have:

972=1/3 .x2.1/2 x.

972=1/6 x3

Multiplying both sides by 6 we have:

5832=x3

Taking cuberoot of both sides.

X=18in

Length of the side of base is x= 18in each height is ½ x = ½ .18= 9 in

I have a table showing proportional relationships and I don't know how to find ?x 4 10 12
y 6 15 ?

Answers

The ratio here from X/Y=4/6=10/15=12/?

We can see that the ratio is ⅔

Now let's see, ⅔=12/?
cross multiply to get 36=2?
now divide both sides by 2 to get 18=?

Olivia's mom is ordering cupcakes for Olivia's birthday. A pack of 6 cupcakes from Baked Fresh costs $18. A pack of 12 cupcakes from Milk 'n' Creme Bakery costs $37.20. How much more does Milk 'n' Creme Bakery charge per cupcake?

Answers

Milk 'n' Creme Bakery costs $0.1 more per cupcake.

What is Unitary Method?

The unitarytechnique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Pack of 6 cupcakes from Baked Fresh costs $18.

Pack of 12 cupcakes from Milk 'n' Crème Bakery costs $37.20

So, Baked Fresh: Cost of one cupcake = $18/6

                                                                 = $3

and, Creme Bakery: Cost of one cupcake from Milk 'n' = $37.20/ 12

                                                                                            = $3.1

Then, Difference in cost for one cupcake = $3.1 - $3 = $0.1

Learn more about Unitary Method here:

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answer: milk ‘n’ creme charges 10 more cents than baked fresh per cupcake
you want to find the unit rate for each cupcake to find out how much more they charge.
first for baked fresh you would do $18/6 cupcakes to get $3 per cupcake, giving you a unit rate of 3
then for milk ‘n’ creme you would do $37.20/12 cupcakes to get $3.10 per cupcake, giving you a unit rate of 3.1
the difference will be found by subtracting the two to get 10 cents difference.
hope this helps !

Write an equation that would allow someone to find the value of R

Answers


20r + 40 = 80

Final answer:

The equation to find the value of R depends on the context. For resistors in series, the equation is R = R₁ + R₂ + R₃ + ..., while for parallel it is 1/R = 1/R₁+1/R₂ + 1/R₃ +.... In power calculations, the equation R = V²/P can be used.

Explanation:

To find the value of R, we can use various mathematical formulas depending on the context. For instance, in the context of circuits, the total equivalent resistance (R) of resistors in series is given by the equation R = R₁ + R₂ + R₃ + .... While for resistors in parallel, the equation is 1/R = 1/R₁+1/R₂ + 1/R₃ +....

In terms of power, the equation P = V²/R can be rearranged to R = V²/P to find the value of R. In case of calculations involving thermal resistance, the equations can be more complex and might require the use of other variables.

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How many solutions does the system of equations have? A.
The system has exactly one solution.

B.
The system has no solution.

C.
The system has infinitely many solutions.

Answers

The answer to your question is A. The system has exactly one solution.

Hi Brainiac


x+y=3

3x+3y=15

We need to solve for x+y=3 for x

So let's start by adding -y to both sides

x+y-y=3-y

x= -y+3

Now we need to substitute -y+3 for x in 3x+3y=15

3x+3y=15

3(-y+3)+3=15

9=15

Next, add -9

9-9 = 15-9

0=6

Answer: No Solutions


I hope that's help:0