HELP ASAP 80 POINTS (AND NOOOO LINKS OR DOWNLOADS)Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

5. Explain what the solution means in the context of the word problem.

Answers

Answer 1

Answer:

Answer:

Subtract 2 from both of the sides

Step-by-step explanation:

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7 times as much as the sum of 1/3 and 4/5

Ten less the quotient If number and 3 is 6

Answers

Answer:

The number is 48

Step-by-step explanation:

The number be x

Quotient of the number and 3 : x/3

Ten less the quotient of the number and x : x/3 -10

$(x)/(3)-10=6\n\n(x)/(3)=6+10\n\n(x)/(3)=16\n\nx=16*3\n\nx=48$

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

+ x/3 +x/3

10 = x/3 +6

-6 - 6

3 × 4=(x/3) × 3

12 = x

The coordinates of a square ar 1,8 7,8 7,2 ?,?

Answers

8- | a b
7- |
6- |
5- |
4- |
3- |
2- | x c
1- |______________________________
0 1 2 3 4 5 6 7 8 9

x,x=1,2

Find the mean, median, and mode of each data set.
1. touchdowns scored: 1, 3, 4, 4, 3

Answers

Answer:

mode= 3 and 4 they both the most common

median= 3

1,3,3,4,4

mean= 1+3+3+4+4=15

15÷5=3

Step-by-step explanation:

mode- To find the mode, order the numbers lowest to highest and see which number appears the most often.

mean-To find the mean, add all the numbers together then divide by the number of numbers.

median-To find the median, order the numbers and see which one is in the middle of the list.

i hope this has helped you!

-grace

Consider solving the equation for x.3(3x + 4) - 5 = ax + b
Which statements are true about the solution to the equation when substituting values for a and b as specified?
Select all that apply.

A. If a=−3 and b=4 , then there is exactly one solution to the equation.
B. If a=−9 and b=13 , then there is no solution to the equation.
C. If a=9 and b=−2 , then there is no solution to the equation.
D. If a=−3 and b=−5 , then there are infinitely many solutions to the equation.
E. If a=9 and b=7 , then there is exactly one solution to the equation.

Answers

Answer:

A. If a=−3 and b=4 , then there is exactly one solution to the equation.

C. If a=9 and b=−2 , then there is no solution to the equation.

Step-by-step explanation:

The given equation is

$3(3x+4)-5=ax+b$

To solve for $x$ , we need to use the distributive property

$3(3x+4)-5=ax+b\n9x+12-5=ax+b\n9x-ax=b-7\nx(9-a)=b-7$

To find the right statement, we need to the given values.

For a=-3 and b=4,

$x(9-a)=b-7\nx(9-(-3))=4-7\nx(9+3)=-3\n12x=-3\nx=(-3)/(12) =-(1)/(4)$

So, choice A is true, because there's one solution to the equation.

For a=-9 and b=13,

$x(9-a)=b-7\nx(9-(-9))=13-7\n18x=6\nx=(6)/(18)=(1)/(3)$

The choice B is false.

For a=9 and b=-2

$x(9-a)=b-7\nx(9-9)=-2-7\n0x=-9\n0=-9$

Choice C is correct, because there's no solution, because zero is not equal to -9.

For a=-3 and b=-5

$x(9-a)=b-7\nx(9-(-3))=-5-7\n12x=-12\nx=(-12)/(12)=-1$

Choice D is false, becuase there's only one solution.

For a=9 and b=7

$x(9-a)=b-7\nx(9-9)=7-7\n0x=0\n0=0$

Choice E is false, because there are infinite solutions in ths case.

Therefore, the right choices are A and C.

So let's simplify the equation first.

9x + 12 - 5 = ax + b
9x + 7 = ax + b
9x - ax - b = 7

Alright now plug in the numbers for each option.
I don't feel like doing all of them but I did A (one solution) and B (no solution because the two 9x's cancel out).

Solve for x.31 = 3x - 14. Simplify as much as possible. THanks =) :)

Answers

Answer:

x = 15

Step-by-step explanation:

Given in the question an equation

31 = 3x - 14

Solution

rearrange the constant to the right of equation

3x = 14 + 31

3x = 45

divide 3 on both sides of the equation

3x/3 = 45/3

x = 15

Answer:

x=15

Step-by-step explanation:

The given equation is;

31=3x-14

Group similar terms:

31+14=3x

Combine the left hand side to obtain;

45=3x

Divide both sides by 3 to get;

$x=(45)/(3)$

x=15

How is 6/12 equivalent to 1/12

Answers

It is not.

6/12≠1/12

Say you where having a party and brought 2 one dozen boxes of cupcakes. After the party was over, you look in the first box and find 6 of the twelve cupcakes left. You look in the second box and find 1 of the twelve cupcakes left. The number of cupcakes left in each box isn't the same. The two fractions aren't equivalent.

6/12 is not equivalent to 1/12.
6/12 means 6 pieces out of 12,
1/12 is one piece out of 12.

☺ Hope this helped~

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