Find the Unit Rate: $2.40 for 8 oranges

Answer: 7 root 3 or simplified = 12.12435565 = 12.12 (2 d.p)

Step-by-step explanation:

tan(30) = 7 / x

x= 7/ tan(30)

x= 7 root 3

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Answer: 2⁵

Explanation: Since these two powers have the same base of 2,

you can multiply them together by simply adding their exponents.

When we do that, we get 2⁵.

A common mistake in this problem would be to multiply

the bases together and give an answer of 4⁵.

The 2's can't be multiplied together however because

they are  not coefficients, they are bases.

When applying your exponent rules, your base will never change.

Answer:13 inches

Step-by-step explanation:

Answer: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

Step-by-step explanation:

Answer:

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

I hope it's helpful!

Answer:

below

Step-by-step explanation:

32N D.

Answer:

the answer is p

Step-by-step explanation:

900,000 would be the nearest hundred thousand

sorry if it's wrong, but I did try

Answer:

936,000

Step-by-step explanation:

You are going to round down because 292 is not 500 or higher and if you want to round up it has to be 500 or higher for this problem.

Answer:

divide 8.4 with 3

the answer is 2.8

Answer:

A. the first quartile represents the median of the lower half of the data set

B. the third quartile represents the median of the upper half of the data set

Step-by-step explanation:

Answer:

A or D maybe

Step-by-step explanation:

I don't really know I'm confused myself

Step-by-step explanation:

cluldnt get the answer for one

Answer:

C

Step-by-step explanation:

It is C

It means 7 x 5

you have the 7 add up 5 times

Answer:

b

Step-by-step explanation:

xhxhdjdhxhdhehrhfhchxhdjeurjr

Answer:

172.7

Step-by-step explanation:

2590 divided by 15 = 172.6666667

7 is greater than five so the 6 gets rounded up which makes the answer 172.7!

2590 divided by 15 can be calculated by division operation and it will be equal to 172

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.

In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.

So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.

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Answer:

60 %

Step-by-step explanation:

15/25 = 60/100 = 60 %

Hope that helps!

Answer:

all you have to do is divide, 15÷25 which is 0.6 and 0.6= 3/5

-4x = y + 3

y = -4x - 3​ => 4x = -y - 3

-4x = y + 3

4x = -y - 3

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

0 = 0 (always true)

All Real Numbers

Answer:

x = x, y = -3 - 4x

Step-by-step explanation:

Subtract y from both sides of the equation.

-4x - y = 3

y = -4x - 3

Add 4x to both sides of the equation.

-4x - y = 3

y + 4x = -3

-4x - y = 3

Reorder the polynomial.

Add the two equations together to eliminate y from the system.

 -4x - y = 3

+ 4x + y = -3

          0 = 0

Since 0 = 0, the equations intersect at an infinite number of points.

Infinite number of solutions.

Solve one of the equations for y.

y = -3 - 4x

The solution is the set of ordered pairs that make y = -3 - 4x true.

Point form: (x, -3 -4x)

Equation Form: x = x, y = -3 - 4x

good luck, i hope this helps :)

Answer:

0.387

Step-by-step explanation:

Answer:

The answer would be 0.387

Answer:

1. x³y² + 4x²y³ + 7y⁴ + x⁴

2. a² + b² + c² + 2ab + 2bc + 3ca

Step-by-step explanation:

1. x³y² + x²y³ + 3y⁴ and x⁴ + 3x²y³ + 4y⁴

= x³y² + x²y³ + 3y⁴ + x⁴ + 3x²y³ + 4y⁴

= x³y² + x²y³ + 3x²y³ + 3y⁴ + 4y⁴ + x⁴

= x³y² + 4x²y³ + 7y⁴ + x⁴

2. a² + 3ab - bc, b² + 3bc - ca and c² + 3ca - ab

= a² + 3ab - bc + (b² + 3bc - ca) + (c² + 3ca - ab)

= a² + 3ab - bc + b² + 3bc - ca + c² + 3ca - ab

= a² + b² + c² + 3ab - ab + 3bc - bc + 3ca - ca

= a² + b² + c² + 2ab + 2bc + 3ca

Answer:

Step-by-step explanation:

By closely observing the graph, we can see that the blue line of the graph meets both points, 2 gallons and 50 miles.

I would appreciate it if you would please mark me brainliest!

Answer: 35.3

Step-by-step explanation:

Answer:

35.3

Step-by-step explanation:

Step-by-step explanation:

p(x) = 15x-(2000+4x)

profit is going to be the difference between how much money you get from sales less the cost to make the items

the money you make in this case is $15 times the number of cds you sell, we will call the number of cds x

so 15x is the money from sales

the costs you have are 2000 to create the master and then $4 for every cd you create, so your costs will be 2000+4x

so profit is sales minus costs, therefore we get

p(x) = 15x - (2000+4x)

now to find specifically the profit when we create and sell 2800 cds, x = 2800, so we substitute that value in for x

p(2800) = 15(2800) - (2000+4(2800))

= 42000 - (2000+11200)

= 42000 - 13200

= 28800

The profit of selling 2800 additional DVDs is 28800 dollars.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, The profit function is P, and let no. of DVDs sold is x and the profit on each additional disc is,

= $(15 - 4).

= $11.

∴ The profit function p is,

P = 11x - 2000.

So, the profit by selling 2800 additional discs is,

P = 11(2800) - 2000.

P = 30800 - 2000.

P = 28800 dollars.

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Answer:

180

Step-by-step explanation:

That's the answer.

.

Answer: 4

Step-by-step explanation:

If you have parallel lines then the slopes are equal.

We know that slope for line m is 4.

So slope for line "n" is also 4

Answer:

If you are asking the area it is 12

Step-by-step explanation:

Answer:

Area: 4 x 3 = 12m

Perimeter: 4 + 3 + 4 + 3 = 14m

Step-by-step explanation:

I hope this helps u! :D

Answer:

subsitute x for 20 then subsitute z of 7 then solve.

Step-by-step explanation:

Answer:

- 12k² + kl

Step-by-step explanation:

Given

7kl - 3k(4k + 2l) ← distribute parenthesis by - 3

= 7kl - 12k² - 6kl ← collect like terms

= - 12k² + kl

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

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Answer:

Yes, because they both have two sets of parallel lines.

Hope that helps!

Step-by-step explanation:

Answer:

No, you didn't

Step-by-step explanation:

20% of $1200 is:

Since you saved $200 and its less than $240 you didn't reach your goal

Hi there!

No:

200 is only 6 parts of 1200 together which means that it can’t be 20% of 1200.

If it was 20% of 1200, it would then be 240 since 240·5=1200...

What this means:

No, did not reach the goal since 20% of 1,200 is 240 and 200 is only 16.67% of $1,200.