Use the drawing tools to form the correct answer on the number line. Graph the solution set to this inequality

[tex]3x - 12 \geqslant 7x + 4[/tex]


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Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y     Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35    Eqn 2

Putting x=8y in Eqn 2

[tex]8y-14=y+35\\8y-y=35+14\\7y=49[/tex]

Dividing both sides by 7

[tex]\frac{7y}{7}=\frac{49}{7}\\y=7[/tex]

Putting y=7 in Eqn 1

[tex]x=8(7)\\x=56[/tex]

Hence,

Tommy had 56 cents in start and Loren had 7 cents in start.

Answer:

A) 13!

Step-by-step explanation:

Just answered the question!

Answer:

13

Step-by-step explanation:

Answer:

18.6 months

Step-by-step explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.

Answer:

The money she will end up earning in interest on the cd = $11,352.90

Step-by-step explanation:

The formula for getting the accumulated amount(compounded) is;

[tex]A =P(1+\frac{r}{n})^n*t[/tex]

Where

A = Accumulated amount  

P = principle (deposit)

r = interest rate and

n = no of times interest applied per time period.  

The interest is compounded quarterly so in one year it will be 4 times

In 5 years

n = (5×4)-3 = 17  (as she will withdraw 3 month before the completion of five years)

A = [tex]7100(1+\frac{2.8}{100} )[/tex]^17

  = 7100( 1 + 0.028)^17

  =  7100(1.028)^17  

   = 7100 * 1.599

  = 11,352.90

Therefore the money she will end up earning in interest on the cd = $11,352.90

Answer:

y=-3/2x+11

Step-by-step explanation:

M a t h w a y

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]

Let the missing dimension of the prism be y.

So, the volume is calculated using:

[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]

Multiply the factors

[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]

[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]

Equate both expressions of volume

[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]

Factor the numerator

[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]

Cancel out common factors

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

Hence, the missing dimension of the prism is x - 4

Read more about volumes at:

https://brainly.com/question/21308855

Answer:

It's written as a ratio of two integers, so it's a rational number and not irrational.

...

Irrational and Real Numbers.

Type of Decimal Rational or Irrational Examples

Terminating Rational (or ) (or )

Nonterminating and Repeating Rational … (or ) … (or)

Nonterminating and Nonrepeating Irrational (or …) (or …)

Step-by-step explanation:

Answer:

Irrational

Step-by-step explanation:

Answer:

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=23[/tex]

Total number of shirts finished by Laura [tex]=23[/tex]

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in [tex]t[/tex] hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina [tex]=2t+15[/tex]

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura [tex]=3t+11[/tex]

Therefore,

[tex]2t+15=3t+11\\3t-2t=15-11\\t=4[/tex]

So,

Valentina and Laura finished the same total number of shirts in [tex]4[/tex] hours.

Total number of shirts finished by Valentina [tex]=2(4)+15=8+15=23[/tex]

Total number of shirts finished by Laura [tex]=3(4)+11=12+11=23[/tex]

Answer:

I’m pretty sure u would spin it 4 times

Step-by-step explanation:

I hope that helps check with someone else tho ❤️❤️

Answer:

False

Step-by-step explanation:linear functions will create a straight line on a graph, exponentials will not.

Answer:

PEMDAS so multiply or divide the coefficient

Step-by-step explanation:

Answer:

The final score of Roger is 22.  

Step-by-step explanation:

The final score (F) of Roger is given by:

[tex] F = 5R - 2W [/tex]

Where R is the right answers and W is the wrong answers

Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:

[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]

Therefore, the final score of Roger is 22.    

I hope it helps you!                              

Answer:

36

Step-by-step explanation:

16*2 = 32

16*1/4 = 4

32+4 = 36

Answer:  She will need 36 yards of material.

Step-by-step explanation:

16 × 2¹/₄ can be done different ways,

First multiply ¹/₄ times 16. that is the same as dividing 16/4 = 4

Then multiply 2 times 16  2×16 = 32

Add 32 + 4 = 36

Another way is to change 2¹/₄ to an improper fraction and multiply

⁹/₄ × 16

   16

  ×9

   54  

+9  

 144

144/4 = 36

Replace x with the values in the table and solve.

25-3(2)= 25-6 = 19

25-3(4) = 25-12 = 13

25-3(5) = 25-15 = 10

25-3(6) = 25-18 = 7

Answer:

x = 110

Step-by-step explanation:

Answer:

x + 3 + [tex]\frac{13}{x-3}[/tex]

Step-by-step explanation:

Divide using Synthetic division

dividing by ( x - 3)

Using 0 to represent the x- term

3 |  1  0   4

     ↓ 3    9

        +     +

   ------------------

     1   3    13 ← remainder

Thus

[tex]\frac{x^2+4}{x-3}[/tex] = x + 3 + [tex]\frac{13}{x-3}[/tex]

Answer:

Looking for an answer for this one

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

10 x 24 = 240

240 divided by 8 = 30

Answer:

y=7

Step-by-step explanation:

Since they are all congruent angles this means that the sides are equal too.

Answer:

-1

Step-by-step explanation:

1. Substitute n with 6 because n=6

2. Then you simply solve both sides so (6-6)-(5-6) because n=6

3.so then you get the absolute value of 0 subtracted by the absolute values of -1

4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1

5. So the final answer is -1

Sorry if this was confusing, I’m really bad at explaining. :)

Answer:

|n-6|-|5-n|

=|6-6|-|5-6|

=|0|-|-1|

=0-1

=-1

Answer:

nooooooooooo biiiiiiiiiiit.ch

Answer:

c

Step-by-step explanation:

change is rise over run, and 3 is your rise and 2 is your run, so when the line goes up 3, it goes to the right 2 units

Answer:

[tex]scalene[/tex]

Step-by-step explanation:

[tex]\textsf{Sum of internal angles;}[/tex]

  [tex]71+50+6x-1=180[/tex]

 [tex]6x-1=180-71-50[/tex]

  [tex]6x-1=59[/tex]

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Answer:

The x intercept is 4 (by substituting y as zero we get x intercept)

And the y intercept is 8 (by substituting x as zero we get y intercept)

Take (4, 0) and take (8, 0) to graph the line

You're welcome!

Answer:

x = 4 y = 8 graph (4,0) and (8,0)

Answer:

y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8

Answer:

Step-by-step explanation:

Town B breaks the population down to men women and children. That has meaning, although I did not check to see if the total is the same as what is stated above the total.

For the second question, the answers in order are

does not

cannot

does not.

You can't add things that do not have the same meaning.

does

can

does

You can add these 3 numbers together because all three numbers tell something about the people in town B

Answer:

no it is not proportional

Answer:

No 3/9 would be proportional to 6/18

Step-by-step explanation:

I think

Step-by-step explanation:

3(x+2)-(2x-1)=4(3-x)

3x+6-2x+1=12-4x

3x-2x+4x=12-6-1

5x=5

x=1

Answer:

x=1 2/5

Step-by-step explanation:

3x+6-2x-1=12-4x

x+5=12-4x

  -5   -5

x=7-4x

+4x  +4x

5x=7

/5   /5

x=7/5

x=1 2/5