Find the sum. 1/6+ √6

Median: The middle number in the data set when the

data set is written from least to greatest.

Since our data set is already written from least to greatest,

we can just look for the number that appears in the middle.

In this case, it would be 3.

Mode: The number that appears

most frequently in a data set.

Notice that the number 3 appears twice in the data set and no other

number appears more than once. So the mode is 3.

Range: The difference between the greatest number in

the data set and the least number in the data set.

Since the greatest number is 8 and the least number is 1,

the range of the data set will be 8 - 1 or 7.

Answer:

Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50

Step-by-step explanation:

Let the cost of one pound of walnuts = $w

and the cost of one pound of chocolate chips = $c

Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45

12w + 2c = 45 ------(1)

Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18

3w + 5c = 18 --------(2)

Multiply equation (2) by 4 then subtract it from equation (1)

(12w + 2c) - (12w + 20c) = 45 - 72

-18c = -27

c = [tex]\frac{27}{18}[/tex]

c = $1.5

Substitute c = 1.5 in equation (1),

12w + 2(1.5) = 45

12w = 45 - 3

w = [tex]\frac{42}{12}[/tex]

w = $3.5

Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5

Answer: 400g

Step-by-step explanation:

The ratio of pretzels to corn chips is 5:3, which means that pretzels make up 5/8 of the party mix.

Mass of pretzels = 5/8 x 640g = 400g

Answer:

26

Step-by-step explanation:

5 + 6 + 7 + 8 = 11 + 15 = 26

Hope it helps you in your learning process.

Answer:

26

Step-by-step explanation:

[tex]5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}[/tex]

5+6+7+8 = 26

Answer:

Step-by-step explanation:

Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.

According to Wyatt expression;

8c-48cd

It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;

[tex]8c-48cd = 8c(1-6d)[/tex]

since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.

According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.

For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.

Answer:

Wyatt

Step-by-step explanation:

it's on edge

Answer: x = 10

Step-by-step explanation:

Answer: x=10

Step-by-step explanation: 9(8)= 72, 72+18=90, 90/9= 10

Answer:

Step-by-step explanation:

C bc

Answer:

The answer would be D

I had had this answer before

Hope this helped

Answer: Clare earned $6806.53.

Step-by-step explanation:

The formula given to us is the formula for compounded interest.

You can substitute the values given in the first part of the problem into the equation to find B, the final amount:

[tex]B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4[/tex]

Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.

Now, use a calculator to raise 1.08 to the fourth degree to get this:

[tex]B = 5003 * 1.360488\\B = 6806.526[/tex]

As such, Clare earned $6806.53 in interest after 4 years.

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to [tex]\frac{21,900}{1,000} kg[/tex]

[tex]21,900g = \frac{21,900}{1,000} kg[/tex]

[tex]21,900g = 21.9 kg[/tex]

Hence, the quantity of sandbox James has is 21.9kg

Answer:

Triangular pyramid and Rectangular prism

Step-by-step explanation:

There are several different uses of the formula V = BH. For example, we used the formula V = BH for a cylinder, a rectangular prism, and a triangular pyramid. But be careful! All of the elements in the formulas don't mean the same! I really hope this helps you a bit!

Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

It refers to the area of one of the bases of a solid figure.

Given,

Volume V= B×h

Where B is the Base area and h is the height

Volume of the Right triangular prism and rectangular prism can be found by using the given formula V = B×h. Because two identical shapes (base) facing each other with a height h

But we cannot find the volume of the Rectangular pyramid, triangular pyramid and mid by using the given equation because this formula is used to find the volume of a geometric prism or cylinder.

Hence, Volume of the Right triangular prism and rectangular prism can be found by using the formula V= B×h

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Answer:

Idk I’m sry

Step-by-step explanation:

Answer:

2.5 miles

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

3600

Step-by-step explanation:

41*18*4=2952, 2952+(18*18*2)=3600.

Answer:

-11

Step-by-step explanation:

y= -2 squared - 4 x 4 - 1

y=4-16-1

y=-11

Answer:

In short, they are all solutions to your equation.

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below. I clarified as much as possible and included all explanations/work.

I hope this helps.

Answer:

[tex]\alpha' = 81^{\circ}[/tex]

Step-by-step explanation:

Angle is periodical function, so that following condition is satisfied:

[tex]\alpha = n \cdot 360^{\circ}[/tex]

[tex]n = \frac{801^{\circ}}{360^{\circ}}[/tex]

[tex]n = 2.225[/tex]

The position of the coterminal angle is:

[tex]n' = 2.225 - 2[/tex]

[tex]n' = 0.225[/tex]

[tex]\alpha' = n' \cdot 360^{\circ}[/tex]

[tex]\alpha' = (0.225)\cdot (360^{\circ})[/tex]

[tex]\alpha' = 81^{\circ}[/tex]

Answer:

i think it is .64

Step-by-step explanation:

Answer:

I attached a file for the number line answering the question.

Step-by-step explanation:

Answer:

Any number more than 5

Step-by-step explanation:

Answer:

a lot

Step-by-step explanation:

Answer:

nth term = 7n - 2

Step-by-step explanation:

The first 4 term of the arithmetic sequence is 5, 12 , 19 and 26. The expression in terms of nth term that model this sequence can be express below

The nth term of the arithmetic sequence form can be represented as follows.

nth = a + (n - 1)d

where

a = first term

d = common difference

Therefore,

a = 5

d = 12 - 5 = 7 or 19 - 12 = 7 or 26 - 19 = 7

nth = a + (n - 1)d

nth term = 5 + (n - 1)7

nth term = 5 + 7n - 7

nth term = 7n - 2

Answer:

x = all real numbers, infinite solutions

Step-by-step explanation:

4(x-2) + 7 = 4x - 1

Distribute

4x -8+7 = 4x-1

Combine like terms

4x -1 = 4x-1

Subtract 4x from each side

4x-1 -4x = 4x-1-4x

-1 = -1

This is always true so  there are infinite solutions for x

Answer:

what is the question

Step-by-step explanation:

Answer:

AB = 142

Step-by-step explanation:

If M is the midpoint, then AM = MB

6x+5 = 7x -6

Subtract 6x from each side

6x-6x+5 = 7x-6x -6

5 = x-6

Add 6 to each side

5+6 = x-6+6

11=x

We want to find AB

AB = 6x+5+7x-6

AB = 13x -1

     = 13(11) -1

     =143-1

     = 142

Answer:

0.38

Step-by-step explanation:

Answer:

the range of this function is d

{3,9,12}

Answer:

see below

Step-by-step explanation:

[tex]y-\frac{4x^5}{x^{2}-xy }[/tex] find common denominator and rewrite 1st  part as a fraction

[tex]\frac{y(x^{2}-xy) }{x^{2}-xy }[/tex] [tex]-\frac{4x^5}{x^{2} -xy}[/tex]

[tex]\frac{x^{2}y - xy^2 -4x^5 }{x^{2} -xy}[/tex]

[tex]\frac{x(xy-y^2-4x^4}{x(x-y)}[/tex]

[tex]\frac{xy-y^{2}-4x^4 }{x-y}[/tex]

The expression [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as   [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]or  [tex]y -\frac{4x^4}{x - y}[/tex].

Fractions are numbers which has two parts, numerator and the denominator and is of the form p/q. Here, the number on the top p is called the numerator and the one on the bottom q is called the denominator.

Fractions can also be expressed and decimals and the reverse can also be applied.

Given expression is a mixed expression. We have to first change it into fractions and then have to simplify the complex fractions.

Given expression is [tex]y -\frac{4x^5}{x^2 - xy}[/tex].

First do the cross multiplication.

[tex]y -\frac{4x^5}{x^2 - xy}[/tex] = [tex]\frac{[y(x^2 - xy)]-4x^5}{x^2-xy}[/tex]

               =  [tex]\frac{(yx^2 - xy^2)-4x^5}{x^2-xy}[/tex]

               =  [tex]\frac{x(yx - y^2-4x^4)}{x(x-y)}[/tex]

               =  [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]

               =  [tex]\frac{y(x - y)-4x^4}{x-y}[/tex]

               =  [tex]y -\frac{4x^4}{x - y}[/tex]

Hence the mixed expression given as  [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as  [tex]\frac{yx - y^2-4x^4}{x-y}[/tex] or  [tex]y -\frac{4x^4}{x - y}[/tex].

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