I need help finding the common difference for 3 !

First multiply 5 on both sides to get rid of the five on the bottom.

[tex]\frac{1-7n}{5*5}[/tex][tex]>10*5[/tex]

[tex]1-7n>50[/tex]

Subtract 1 from both sides of the inequality.

[tex]1-1-7n>50-1[/tex]

[tex]-7n>49[/tex]

Divide -7 on both sides, and flip the inequality sign since we are dividing by a negative.

[tex]\frac{-7n}{7}[/tex][tex]>\frac{49}{-7}[/tex]

[tex]n<-7[/tex]

The solution to the inequality is n<-7.

[tex]Solution, \frac{1-7n}{5}>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\end{bmatrix}[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}5, \frac{5\left(1-7n\right)}{5}>10\cdot \:5[/tex]

[tex]\mathrm{Simplify}, 1-7n>50[/tex]

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}, 1-7n-1>50-1[/tex]

[tex]\mathrm{Simplify}, -7n>49[/tex]

[tex]Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right), \left(-7n\right)\left(-1\right)<49\left(-1\right)[/tex]

[tex]\mathrm{Simplify}, 7n<-49[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}7, \frac{7n}{7}<\frac{-49}{7}[/tex]

[tex]\mathrm{Simplify}, n<-7[/tex]

The correct answer is n<-7

Hope This Helps!!!

Your answer (C, the line is vertical) is correct

Your line would have to be horizontal. A vertical line yields an undefined slope.

Slope is rise over run. For a horizontal line you would have 0 rise and X amount of run or 0/x. 0 divided by anything = 0

For a vertical line, you would have the opposite, X rise and 0 run or x/0. You cannot divide by 0. It is impossible.

Therefore, your answer is the second option.

1. 1/9

2. 0

3. -9

4. -1

Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0

Fran's fudge recipe, originally calling for [tex]2\frac{1}{2}[/tex] cups of sugar, would require [tex]2\frac{9}{10}[/tex] cups after she increases the sugar by 2/5 of a cup. The process involves converting mixed numbers to improper fractions, finding a common denominator, and then adding the fractions together.

If Fran's fudge recipe calls for [tex]2\frac{1}{2}[/tex] cups of sugar and she increases it by 2/5 of a cup, we first need to find the common denominator to combine these two fractions. To do this, we express [tex]2\frac{1}{2}[/tex] cups as an improper fraction, which is 5/2 cups (since [tex]2\frac{1}{2}[/tex] = 5/2). Then, we add 2/5 of a cup to it.

Steps:

Convert 2 1/2 cups to an improper fraction: [tex]2\frac{1}{2}[/tex] = 5/2.

Add 2/5 cup to 5/2 cups: To add these, we need a common denominator, which is 10. So, we convert 5/2 to 25/10 and 2/5 to 4/10.

Add the two fractions: (25/10) + (4/10) = (29/10).

Convert 29/10 back to a mixed number: 29/10 = [tex]2\frac{9}{10}[/tex].

Therefore, Fran uses [tex]2\frac{9}{10}[/tex] cups of sugar in her fudge recipe after the increase.

X

5x1=5

5x2=10

5x3=15

5x4=20

5x5=25

Y

20-2=18

18-2=16

16-2=14

14-2=12

X Is by 5 and Y is subtracting by 2

Pretty sure it is A - a parallel line to a given line from a point not on the line

I'm working on the same test :)

Answer:

The construction is a parallel line to a given line  from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line.

Answer:

The correct option is A.

Step-by-step explanation:

Total number of students at the school is 2,500.

In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.

From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.

[tex]2500\times \frac{1}{5}=500[/tex]

Therefore the number of students that accurately reported their height is 500. Option A is correct.

Answer:

Option A) 500

Step-by-step explanation:

We are given the following information:

Total number of students = 2500

From pie chart:

[tex]\text{Under Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Accurately Reported }= \displaystyle\frac{1}{5}\times 100\% = 20\%\\\text{Over Reported }= \displaystyle\frac{3}{5}\times 100\% = 60\%[/tex]

We have to find the number of students whose height were accurately reported =

[tex]\text{Number of students whose height were accurately reported }= \\\text{Number of students}\times \text{Percentage of students whose height were accurately reported}\\= 2500\times 20\%\\\\= 2500\times \displaystyle\frac{20}{100} = 2500\times \frac{20}{100} = 500[/tex]

500 students report their height accurately.

[tex]\vee=or\\\\therefore\\\\p:x < -3\ ; q:x > 3\\\\p\vee q\to x < -3\ or\ x > 3[/tex]

[tex]\wedge=and\\\\\Rightarrow=if\ ...,\ then\ ...\\\\\Leftrightarrow=if\ and\ only\ if[/tex]

Answer:

the one with or just got it right

Step-by-step explanation:

Additive inverse: the additive inverse of a number a is the number that when added to a yields zero.It's also known  as the opposite sign change  and negation. For a real number  it reverses its sign: the opposite to a positive number is negative and the opposite to a negative number is positive

Integer:Any number that is positive negative or nuetral, intergers cannot have decimals or fractions

Negative number: A number that is below zero. For example, -1 or -2 2/3

Positive number: A number that is above 0. For example, 1 or 2 2/3. You can also write a positive number with a + sign infront of it. For example, +1 or +2

good luck

[tex]-11(9b-8)=(-11)(9b)+(-11)(-8)=-99b+88[/tex]

Let's consider the first number to be [tex]f[/tex] and the second number to be [tex]s[/tex]. Based on the information in the problem, we can create the following equations:

[tex]f + 2s = 1[/tex]

[tex]2f + s = 14[/tex]

Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:

[tex]2f + 4s = 2/tex]

[tex]2f + s = 14[/tex]

Now, subtract [tex]2f[/tex] from both equations to get:

[tex]3s = -12[/tex]

[tex]s = -4[/tex]

Now that we have found [tex]s[/tex], "plug" it back into an equation to find [tex]f[/tex]:

[tex]f + 2(-4) = 1[/tex]

[tex]f - 8 = 1[/tex]

[tex]f = 9[/tex]

Our answers are s = -4 and f = 9.

Hey there!!

Let's take the first number as ' x '

Let's take the second number as ' y '

First number + twice the second number is 1

x + 2y = 1 ------------ ( 1 )

Twice the second number + second number is 14.

2x + y = 14 ----------- ( 2 )

Now let's get them all together...

...................................................................................................................................................................

x + 2y = 1 --- ( 1 )

2x + y = 14 --- ( 2 )

Now, let's multiply the first equation with 2 ...

...................................................................................................................................................................

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

2x + y = 14 --- ( 2 )

Now, let's subtract the second equation from the second...

...................................................................................................................................................................

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

- ( 2x + y ) = - ( 14 )

...................................................................................................................................................................

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

-2x - y = -14 --- ( 2 )

...................................................................................................................................................................

3y = -12

Divide by 3 on both sides...

y = -4

The second number is -4.

We have the first equation x + 2y = 1

We got the y value, now substitute the value of y to get the value of x

...................................................................................................................................................................

x + 2y = 1

x + 2 ( -4 ) = 1

x - 8 = 1

Add 8 on both sides

x = 9

Hence, the second number is 9.

...................................................................................................................................................................

Hope my answer helps!!

Answer:

Option A.

Step-by-step explanation:

Machine to fill the balloons with helium will cost = $39.99

Cost of the balloons, helium and ribbons for each bouquet = $2.00

If b balloon bouquets are produced then cost of b balloon bouquets = $2b

Total cost for producing b balloon bouquets = cost of machine + cost of material

                                                                           = $(39.99 + 2b)

Therefore, cost to produce b bouquets will be $2.00b + $39.99

Hence option A is the answer.

Answer:A,C,D

Step-by-step explanation:

Took test

I believe it would be x5 considering you must add exponents when you multiply.

Answer:

[tex]x^3\cdot x^2=x^5[/tex]

Step-by-step explanation:

The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:

[tex]2^2\cdot 2^3=2^{5}[/tex]

[tex](4)\cdot (8)=2^{5}[/tex]

[tex]32=32[/tex]

We have obtained the result multiplying individually and applying the rule.

Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:

[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]

The solution is [tex]x^5[/tex]

Answer:

25$

Step-by-step explanation:

4h+ 150= 250

subtract the 150 from 250 to get 100

4h =100

then divide 100 by 4

h=25

Answer:

25$

Step-by-step explanation:

$25 for each additional rental hour.

4h + 150 = 250

4h = 100

h = 25

2 red / 4 blu

just semplify

1 red / 2 blu

so the probability is

1/2

Answer:

The answer is 50% Hope this helps!

Steps for solving for x.

Step 1. Add 6y to both sides

x = -30 + 6y

Step 2. Regroup terms

x = 6y - 30

Steps for solving for y.

Step 1. Subtract x from both sides

-6y = -30 - x

Step 2. Divide both sides by -6

y = -30 - x/6

yes the answer is 12

                                                       hope it helps

It would have to be feet squared, it couldn't just be feet.

2c - 5 < -21 - 2c     |add 5 to both sides

2c < -16 - 2c      |add 2c to both sides

4c < -16      |divide both sides by 4

c < -4

Answer:

Edison will be paid $15,112 for the first three months.

Step-by-step explanation:

We know that Edison receives an annual fixed pay of $45,448. Therefore, his fixed pay for each month will be [tex]\frac{45448}{12}=\$3787.33[/tex]

Therefore, his fixed pay for the 3 months will be [tex]3787.33*3=\$11362[/tex].

Now let us compute the commission that Edison received. For that we will compute the 15% of the total sales for those 3 months. Total sales for the 3 months is $25000. Therefore, his commission would be [tex]0.15*25000=\$3750[/tex]

Therefore, total pay that Edison received during first 3 months would be:

[tex]11362+3750=\$15,112[/tex]

Edison will be paid $48,862 for the first 3 months.

To calculate Edison's total payment for the first 3 months, we need to consider both his annual pay and the commission he earns from his sales.

First, let's calculate the commission Edison earns from his sales. He makes sales of $250,000 in the first 3 months, and the commission rate is 15% of the total sales. The commission can be calculated as:

[tex]\[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \] \[ \text{Commission} = \$250,000 \times 0.15 \] \[ \text{Commission} = \$37,500 \][/tex]

Next, we need to calculate Edison's base salary for 3 months. Since his annual pay is $45,448, we divide this by 4 to get the quarterly pay (as there are 4 quarters in a year):

[tex]\[ \text{Quarterly Pay} = \frac{\text{Annual Pay}}{4} \] \[ \text{Quarterly Pay} = \frac{\$45,448}{4} \] \[ \text{Quarterly Pay} = \$11,362 \][/tex]

Now, we add the quarterly pay to the commission to find the total payment for the first 3 months:

[tex]\[ \text{Total Payment for 3 Months} = \text{Quarterly Pay} + \text{Commission} \] \[ \text{Total Payment for 3 Months} = \$11,362 + \$37,500 \] \[ \text{Total Payment for 3 Months} = \$48,862 \][/tex]

[tex]9^{\frac{1}{8} }[/tex]x

note that [tex]\sqrt[4]{9}[/tex] = [tex]9^{\frac{1}{4} }[/tex]

and all raised to the power [tex]\frac{1}{2}[/tex] x

multiply [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{8}[/tex] x

1. 12*100 - 12*5

You would use the distributive property to get this equation (it is equivalent to the original one)

2. Um... There's no actual story for this problem; sorry I can't solve this problem

Answer:

1. 12*100 - 12*5

You would use the distributive property to get this equation (it is equivalent to the original one)

2. Um... There's no actual story for this problem; sorry I can't solve this problem

Step-by-step explanation:

a single die being rolled to a number less or equal to 2

Final answer:

The complement of rolling a number greater than 2 on a single six-sided die is rolling a 2 or less, which has a probability of 1/3.

Explanation:

In the context of a single six-sided die roll, the complement of rolling a number greater than 2 would be rolling a number that is 2 or less, which in this case includes rolling a 1 or a 2. Each face of a fair six-sided die has an equal chance of landing face up, giving us a probability of 1/6 for landing on a specific number. Since there are two outcomes that are 2 or less (1 and 2), we simply add their probabilities to get the complement. Thus, the complement of rolling a number greater than 2 is:

P(rolling a 1 or 2) = P(rolling a 1) + P(rolling a 2)
= 1/6 + 1/6
= 1/3.

Therefore, there is a 1/3 chance of rolling a number that is 2 or less when rolling a single fair six-sided die.