Solve the inequality |x|<5

Substitute y = 2x - 15 to the second equation:

4x + 3(2x - 15) = -5      use distributive property

4x + (3)(2x) + (3)(-15) = -5

4x + 6x - 45 = -5       add 45 to both sides

10x = 40      divide both sides by 10

x = 4

Substitute the value of x to the equation y = 2x - 15:

y = 2(4) - 15 = 8 - 15 = -7

3-6+5 is equal to 2, as opposed to 3-5+6 which is 4. The commutative property is only applicable to positive numbers, in this case, Jerome could have done 5-6+3, which would still equal to 2.

The sign is part of the number.

The first term is +3, the second term is -6, and the third term is +5

In order to use the commutative property so that the -6 and +5 are switched, it would be rewritten as: 3 + 5 - 6

Answer: Jerome did not include the sign with the number when he used the commutative property.

you do 4 3/4 times 5= 95/4-23 3/4

ANSWER

[tex]x=\frac{13}{62}[/tex]

and

[tex]y= \frac{-9}{62}[/tex]e have

EXPLANATION

[tex]17x-3y=4---(1)[/tex]

[tex]2x-4y=1[/tex]

Let us make y the subject and call it equation (2)

[tex]2x=1+4y[/tex]

[tex]x=\frac{1}{2}+2y--(2)[/tex]

We put equation (2) in to equation (1)

[tex]17(\frac{1}{2}+2y)-3y=4[/tex]

[tex]\frac{17}{2}+34y-3y=4[/tex]

[tex]34y-3y=4- \frac{17}{2} [/tex]

Simplify to get,

[tex]31y= \frac{8-17}{2} [/tex]

[tex]31y= \frac{-9}{2} [/tex]

Divide both sides by 31,

[tex]y= \frac{-9}{2} \div 31[/tex]

[tex]y= \frac{-9}{2} \times \frac{1}{31}[/tex]

[tex]y= \frac{-9}{62}[/tex]

We put this value in to equation (2) to get,

[tex]x=\frac{1}{2}+2\times -\frac{9}{62}[/tex]

[tex]x=\frac{1}{2} -\frac{18}{62}[/tex]

We collect LCM to obtain,

[tex]x=\frac{31-18}{62}[/tex]

[tex]x=\frac{13}{62}[/tex]

Constant: 13

Coefficient: 20

3y² + y² + 9y  + 3

Simplify. Combine like terms.

(3y² + y²) = 4y²

4y² + 9y + 3 is your answer

hope this helps

~Rise Above the Ordinary

The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Convert the sentence into an equation or expression.

The sentence is four more than the number of weeks in a group of days.

We know that in a week, there are 7 days. Then the equation will be

Week = (Days / 7) + 4

Simplify the equation, then the equation will be

W = D/7 + 4

The sentence 'four more than the number of weeks in a group of days' is converted into the equation is W = D/7 + 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

subtract 6 from the 21x+6. Then divide by 21. The answer is going to be -6/21

Answer:

not a valid study

Step-by-step explanation:

Given that

Kai is conducting a study about the percentage of students with jobs. His school has 2500 students. He asks everyone in his drama class to participate in a survey. He bases his findings on these results.

Just selecting only students in his drama class to form the sample will not give accurate results since samples are not drawn at random.  The sample done is convenient sample saving time, but failing to represent the entire student population with jobs.

THe best sample would be group the students with jobs and select from the group at random a sample size proportional to the population size.

The answer to your is 0.16 hope this will help you.

Answer:

2 * 2 * 113

Step-by-step explanation:

452: 2 * 226

226: 2 * 113

113 is a prime number

452: 2 * 2 * 113

452: 2^2 * 113

yes. there is an equation.

Hello,

1mph = 1.60934kph

70 x 1.60934 = 112.6538

Answer:

70mph = 112.6538kph

138/36 = 3 R 30

30/12 = 2 R 6

3 yds 2 ft 6 in

Answer:

Volume of Gold = 0.4 cubic feet.

Step-by-step explanation:

First we have to make sure the units are same as the units the answer is required in.

Answer should be given in cubic feet.

Density is given in pounds per cubic foot. And Mass is given in pounds. So units are in order. Therefore, we can go ahead with the calculation.

The Density of Gold = [Mass of Gold/Volume of Gold]

By substituting values,

[tex]1204[/tex] ponds per cubic foot = [[tex]481.6[/tex] pounds / Volume of gold]

Making Volume of God the subject of the equation,

Volume of Gold = [[tex]481.6[/tex] pounds / tex]1204[/tex] ponds per cubic foot ]

Volume of Gold = 0.4 cubic feet.

*(Wednesday)*

1. Simply. Show your work.

[tex]9[/tex] · [tex]5+4[/tex]            Simplify The Exponents

[tex]45+4[/tex]                            Multiply [tex]9[/tex] to [tex]5[/tex]

[tex]49[/tex]                                Add [tex]45[/tex] to [tex]4[/tex]

*(Answer)*= [tex]49[/tex]

2. Model and Solve.

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            Use the KCF strategy

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            K = Keep the whole number or freaction on the left

[tex]4[/tex] · [tex]\frac{2}{3}=?[/tex]             C = Change the division sign to multiply sign

[tex]4[/tex] · [tex]\frac{3}{2}=?[/tex]            F = Flip the fraction or whole number

[tex]\frac{4}{1}[/tex] · [tex]\frac{3}{2}=?[/tex]        Make [tex]4[/tex] into a fraction

[tex]\frac{12}{2}[/tex]          Multiply the numerator to another and the denominator to another

[tex]6[/tex]                         Divide 12 to 2 to simplify the fraction

*(Answer)*= [tex]6[/tex]

3. Based on the diagram, describe how a parallelogram and rectangle are related.

They are the same is because the rectangle is the same as the parallelogram because it is same shade, however, sightly tilted.

4. Solve.

- [tex]\frac{5}{8}[/tex] · [tex]\frac{1}{2}= \frac{5}{16}[/tex]

- [tex]\frac{1}{4}[/tex] · [tex]\frac{4}{5}=\frac{4}{20}=\frac{1}{5}[/tex]

If you want than I can edit the answer to add Thursdays answer

Hope this helps

Person Who Answer: BangtanBoyScouts

The answer is x  = −2

open the attachment to get the show the explaining.

This polynomial would simplified as: -2y^7-2xy^4-x^8y^2-6xy (I'm assuming you meant to square the answers)

If you didn't the answer would be: -30xy-14y

But I'm pretty sure you meant to put the first one!

Answer:

[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]

Step-by-step explanation:

The given expression is  [tex]xy^{4}+5y^{7}-(6xy-7y^{7})-x^{8}y^{2}(-3xy^{4})[/tex]

We have to simplify the given expression.

[tex]xy^{4}+5y^{7}-6xy-7y^{7}-x^{8}y^{2}-3xy^{4}[/tex]

[tex](xy^{4} -3xy^{4})+(5y^{7}-7y^{7})-6xy-x^{8}y^{2}[/tex]

[tex]-2xy^{4}-2y^{7}-6xy-x^{8} y^{2}[/tex]

[tex]-2xy^{4}-2y^{7}-6xy-x^{8}y^{2}[/tex]

Therefore, simplified form of the expression will be

[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]

Thats a whole number? It can't be rounded to the tenth percent if it doesn't even have a decimal point

But if you mean as a number and not a percent, it would be 9.9

Total amount of money spent: 305.42

Money spent the first month: 213.20

Money spent on the second month: ??

Subtract 305.42 - 213.20= Amount of money spent the second month

Answer: 92.23

In Mathematics, the solution to this subtraction problem is to subtract the amount spent in the first month, $213.20, from the total amount spent on groceries, $305.43. The result is $92.23, the amount spent in the second month.

This appears to be a simple subtraction problem within the domain of Mathematics. If the total amount spent on groceries is $305.43 and she spent $213.20 in the first month, then to find out how much she spent in the second month, you need to subtract the amount spent in the first month from the total amount.

To solve this, you do the following calculation: $305.43 - $213.20 = $92.23.

Therefore, she spent $92.23 on groceries in the second month.

Learn more about Subtraction here:

https://brainly.com/question/20438352

#SPJ2

You have 5/8 remaining of a pizza. You want to divide it into 3 equal slices.

To find the answer, Divide 5/8 with 3, or multiply 5/8 x 1/3

5/8 x 1/3 = 5/24

Each portion is 5/24 of the original slice.

hope this helps

Look at the picture.

Let denote the two numbers with X and Y. n represent one number

Y=X + 3 1/3

The sum of the two numbers is: X+Y=X + X + 3 1/3

The triple sum is: 3(X + X + 3 1/3)

3(X + X + 3 1/3) = 133

3X + 3X + 10 = 133            

6X + 10 = 133                    

6X = 123                            

X = 12 1/2                  , Y= X+ 3 1/3 =  12 1/2 = 3 1/3 is the largest number

Answer:

[tex]23\frac{5}{6}[/tex]

Step-by-step explanation:

Let x be the smaller number,

Thus, according to the question,

Second number or larger number = [tex]x+ 3\frac{1}{3}[/tex]

Now, sum of these number = [tex]x+x+ 3\frac{1}{3}=2x+\frac{10}{3}[/tex]

Again according to the question,

[tex]3\times ( 2x + \frac{10}{3})= 133[/tex]

[tex]6x + 10 = 133[/tex]

[tex]6x = 123[/tex]

[tex]\implies x = \frac{123}{6}[/tex]

Thus, the larger number = [tex]\frac{123}{6}+3\frac{1}{3}=\frac{123}{6}+\frac{10}{3}=\frac{123+20}{6}=\frac{143}{6}=23\frac{5}{6}[/tex]

Answer:

The total number of students in a survey is 300.

Let the number of junior male(JM) be x and the number of senior males(SM) be y.

Let the number of junior female(JF) be p and the number of senior males(SF) be q.

It is given that there are 160 males, 80 junior females, 130 seniors.

Since number of males are 160. So the number of females are,

[tex]300-160=140[/tex]

Since number of junior females is 80.

[tex]JF+SF=140\\80+SF=140\\SF=60[/tex]

Since number of seniors are 130.

[tex]SM+SF=130\\SM+60=130\\SM=70[/tex]

Since number of males is 160.

[tex]JM+SM=160\\JM+70=160\\JM=90[/tex]

Therefore, the table and venn diagram is shown below.