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2 years ago

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find the difference of each number and 4. Complete the table to support your answers. The first example is provided. Number Subt

raction Expression Addition Expression Answers 10 10 - 4 10 + (-4) 6 2 -4 -6 1

1 answer:

Gelneren [198K]2 years ago

5 0

Answer:

A

Step-by-step explanation:

Just took the quiz

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Milk is a good source of many vitamins that can help us stay healthy. FDA recommends that the average vitamin A concentration fo

Lelechka [254]

Answer:

The degrees of freedom for this sample are 27.

The sample size to get a margin of error equal or less than 0.3656 is n=4450.

Step-by-step explanation:

The degrees of freedom for calculating the value of t are:

$df=n-1=28-1=27$

With 27 degrees of freedom and 95% confidence level, from a table we can get that the t-value is t=2.052.

The sample size to get a margin of error equal or less than 0.3656 can be calculated as:

$MOE=t\cdot s/\sqrt{n}\\\\n=\left(\dfrac{t\cdot s}{MOE}\right)^2=\left(\dfrac{2.052\cdot 11.8841}{0.3656}\right)^2=66.7^2\\\\\\n=4449.13\approx4450$

6 0

3 years ago

You sell tickets for admission to your school play and collect a total of $104. Admission prices are six dollars for adults and

Tanzania [10]

Answer: you sold 10 adult tickets and 11 children tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that you sold.

Let y represent the number of children tickets that you sold.

You sold a total of 21 tickets. This means that

x + y = 21

Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that

6x + 4y = 104 - - - - - - - - - -1

Substituting x = 21 - y into equation 1, it becomes

6(21 - y) + 4y = 104

126 - 6y + 4y = 104

- 6y + 4y = 104 - 126

- 2y = - 22

y = - 22/ -2 = 11

Substituting y = 11 into x = 21 - y, it becomes

x = 21 - 11 = 10

3 0

3 years ago

Express 0.82 as an percent

alexira [117]

Answer:

Should be 82% sorry if I'm wrong have a amazing day

5 0

2 years ago

PLZ HELP ASAP! ILL MARK BRAINLEST!

Sav [38]

Question 1.) Factor completely $12x^{4}+ 6x^{3}+18x^{2}$

Since $6$ divides all the three terms of the equation, so we take $6$ common out from the equation.

i.e., $6(2x^{4}+ 1x^{3}+3x^{2})$

Now, since $x^{2}$ divides all the three terms of the equation, so we take $x^{2}$ common out from the equation.

i.e., $6x^{2}(2x^{2}+ 1x+3)$

Now, this cannot be factored further as $2x^{2}+ 1x+3$ is a quadratic equation and taking out discriminant of it is:

$D = (1)^2 - 4(2)(3)\\ \ \ = 1- 24\\ \ \ = -23$

Since, the discriminant is less than zero. Therefore, the factored form of the given equation : $12x^{4}+ 6x^{3}+18x^{2}$ is : $6x^{2}(2x^{2}+ 1x+3)$

Question 2.) $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$

Since $7$ divides all the three terms of the equation, so we take $7$ common out from the equation.

i.e., $7(x^{3}y+ 2x^{2} y^{3} - x^{2}y^{2})$

Now, since $x^{2}y$ divides all the three terms of the equation, so we take $x^{2}y$ common out from the equation.

i.e., $7x^{2}y(x+ 2y^{2} - y)$

Therefore, the factored form of the given equation : $7x^{3}y+ 14x^{2} y^{3} - 7x^{2}y^{2}$ is : $7x^{2}y(x+ 2y^{2} - y)$

Question 3.) What is the Greatest Common Factor of $x^{6}$ and $x^{3}$ ?

The Greatest Common Factor of two numbers is the biggest number which divides both the given numbers completely.

Now, for the expressions $x^{6}$ and $x^{3}$ :

Since, $x^{3}$ divides both the expressions completely and it is the biggest expression which divides both the expressions.

Therefore, $x^{3}$ is the Greatest Common Factor of $x^{6}$ and $x^{3}$

7 0

3 years ago

Read 2 more answers

If x, y, and z are positive integers such that xyz+30xy+21xz+2yz+105x+10y+7z=812, find x+y+z.

Ket [755]

Answer:

x= 2, y= 2, and z= 6

Step-by-step explanation:

If this is a Diophantine equation, add 35 to both sides and factor the left:

(3x+1)(2y+7)(z+5) = 847 = 7 times 112

Each integer factorization of 847 into 3 factors leads to a different number/value of x, y, and z. If the first factor, (3x+1), is 1 more than a multiple of 3, and the second factor, (2y+7), is odd, then x, y, and z will be integers.

For example:

847 = 121 times -7 times -1 gives (x, y, z) = (40, -7, -6) because 121 times -7 times -1 is 847 as well, it checks out.

If x, y, and z need to be positive, then the three numbers/factors need to be greater than 1, 7, and 5. The only combination that works is 7 times 11 times 11, which gives (x, y, z) = (2, 2, 6).

:)

6 0

3 years ago