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Answer:

the answer is in the picture

Step-by-step explanation:

Answer: Check out the diagram below

[tex]1.5 \le x \le 5.5[/tex]

The lengths can be between   4   and   12   units

=======================================================

Explanation:

Let's find an expression that represents the area.

The length is 2x+1 and the width is 3. Multiply those two and we get

3(2x+1) = 6x+3

The area is 6x+3 square units.

In other words, A = 6x+3 represents the area.

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We're then told that [tex]12 \le A \le 36[/tex] saying that the area is between 12 and 36 square units (including both endpoints).

We'll replace the A with 6x+3 and solve for x like so:

[tex]12 \le A \le 36\\\\12 \le 6x+3 \le 36\\\\12-3 \le 6x+3-3 \le 36-3 \ \text{ .... see note1}\\\\9 \le 6x \le 33\\\\\frac{9}{6} \le \frac{6x}{6} \le \frac{33}{6} \ \text{ .... see note2}\\\\\frac{3}{2} \le x \le \frac{11}{2}\\\\1.5 \le x \le 5.5\\\\[/tex]

note1: I subtracted 3 from all sides to undo the "plus 3"

note2: I divided all sides by 6 to undo the multiplication

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We just found that [tex]1.5 \le x \le 5.5\\\\[/tex] so it says that x is between 1.5 and 5.5 including both endpoints.

Plug in the smallest possible x value to find the smallest possible length

length = 2x+1

L = 2(1.5)+1

L = 3+1

L = 4

The smallest possible length is 4 units. Multiply this with the height 3 and we get L*W = 4*3 = 12 which is the smallest possible area.

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Now use x = 5.5 to find the largest value of L possible

L = 2x+1

L = 2(5.5)+1

L = 11+1

L = 12

Then note how L*W = 12*3 = 36 is the max area possible, which matches with that your teacher wrote. So this confirms we have the correct value.

If you're not sure which values go where, check out the diagram below.

Answer:

Step-by-step explanation:

We can easily find the determinant of a matrix of which will be the cofactor of 2. Multiplying the diagonal elements of the matrix, we get. Now subtract the value of the second diagonal from the first, i.e, 48 – 3 = 45. Check the sign that is assigned to the number

Answer:

x = 16

Step-by-step explanation:

Angles in a triangle add up to equal 180

Hence, 9x - 8 + x + 10 + x + 2 = 180

                              ^ ( note that we just created an equation that we can use

                                   to solve for x )

We now solve for x using the equation created.

9x - 8 + x + 10 + x + 2 = 180  

step 1 combine like terms

9x + x + x = 11x

-8 + 10 + 2 = 4

we now have 11x + 4 = 180

step 2 subtract 4 from each side

180 - 4 = 176

4 - 4 cancels out

we now have 11x = 176

step 3 divide each side by 11

176 / 11= 16

11x / 11 = x

we're left with x = 16

Answer:

For question 2 :

1 <

2>

3=

Step-by-step explanation:

Basically those triangle arrow things are called 'greater than signs'

So , you need to say which number is bigger than the other or if they are equal. For example :

3>1

1<7

1=1

Answer:

2. 786.20 is greater than 476.2 593.99 is greater than 59.399 and the last one are equal to each other 3. 12 quarts of flour 4. Go up three and to the right three

Step-by-step explanation:

Hope this helps you out

Answer:

9.97 i think

Step-by-step explanation:

Answer:

r = 24.41cm

Step-by-step explanation:

If you're only trying to find the radius, use the equation:

[tex]Area = \pi r^2[/tex]

When rearranged to make r the subject:

[tex]r = \sqrt\frac{Area}{\pi }[/tex]

When the variables are added:

[tex]r = \sqrt\frac{1872}{\pi }[/tex]

[tex]r = 24.41[/tex]

Answer:

4 lawns

Step-by-step explanation:

$145=$65+N*$20

where N= no. of lawns he needs to now

$80=$20N

N=4

Answer:

Goes up and to the left

Step-by-step explanation:

If the value of a is negative, the line is going down and to the left.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the equation {y} = ax describes the graph of a line.

It is asked to find that if the value of {a} is negative, then what would be the orientation of the line.

The general equation of a straight line is -

y = mx + c

Here {m} denotes the unit rate. Unit rate is the rate at which the value of {y} changes per unit change in the value of {x}. So, we can write that the orientation of the line is going down and to the left.

Therefore, if the value of a is negative, the line is going down and to the left.

To solve more questions on straight line, visit the link-

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Answer:

26 papers

Step-by-step explanation:

Well this is pretty straight forward

if he can grade 6 papers an hour

we just multiply 6 by 7 to get how many papers he graded in 7 hours

6*7= 42

now we subtract 42 from 68 to get how many papers are left to be graded

68-42=26

26 papers are left

Answer:

I believe the answer is B and C

Step-by-step explanation:

Answer:

Negative.

Step-by-step explanation:

You can see the line is declining. The y value is decreasing.

Always read the line from left to right, you’ll easily see it’s a negative slope.

Answer:

It's negative

Step-by-step explanation:

It's going from top to bottom so it's gotta be negative

Answer:

A) -2

Step-by-step explanation:

Plus 4 in place of x

f(x) = -3x+10

f(4) = -3*4+10

f(4) =-12+10

f(4)=-2

Answer:

the Midian is 9

mode is 3

mean is 6

it ranges from 3 to 12

Answer: 8

Step-by-step explanation:

Given

Lian has [tex]\$1.00[/tex] and she has twice as many dimes as nickels

Suppose she has [tex]x[/tex] nickels

So, the number of dimes is [tex]2x[/tex]

Nickel is equivalent to 5 cents and dime is equivalent to 10 cent

[tex]\therefore \ x(0.05)+2x(0.1)=1\\\Rightarrow 0.05x+0.2x=1\\\Rightarrow 0.25x=1\\\Rightarrow x=4[/tex]

Therefore she has 8 dimes with her.

Answer:

15 and - 26

Step-by-step explanation:

let x and y be the 2 numbers , x > y

x + y = - 11 → (1)

x - y = 41 → (2)

Add the 2 equations term by term to eliminate y

2x = 30 ( divide both sides by 2 )

x = 15

Substitute x = 15 into either of the 2 equations and solve for y

Substituting into (1)

15 + y = - 11 ( subtract 15 from both sides )

y = - 26

The 2 numbers are 15 and - 26

Answer:

0 | 20

10 | 30

12 | 32

Y | Y+20

40 | 60

R-20 | R

Answer:

I say electrons

Step-by-step explanation:

It has more electrons than protons so it becomes - charged

Answer:

-3 1/4 + 4 3/4= 1 1/2

Step-by-step explanation:

Answer: 60 students i think

Answer:

3=0.5p

Step-by-step explanation:

The cost to get a small sundae with P toppings added represented  as 3 + 0.5p.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let's consider the toppings added to the chocolate sundae represented by p.

We will use the unitary method,

The cost of topping added to one chocolate = $0.50

The cost of topping added to p chocolate = $0.5p

So, the cost to get a small sundae with P toppings added is;

3 + 0.5p

Therefore, the cost to get a small sundae with P toppings added represented  as 3 + 0.5p

Learn more about the unitary method;

https://brainly.com/question/23423168

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Answer:

20

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

Answer:

Step-by-step explanation:

The perimeter of a rectangular pool is more then 62 meters, and the width is at least 10 meters less then the length. Witch system of inequalities represents the possible length in meters, /, and the possible width in meters,

Answer:

-7. is the answer so tick it mark me brainlist

Answer:

1, -1

Step-by-step explanation:

just took the test

Answer:

will for here to win a prize from a toss n turn or another game would be impossible first of all she has to get  it a heads if she gets it a head that's good now the next thing she has to land it on a even number if she passes that she gets a prize but it is impossible for here to get a prize in a 1 out of 5 flip chances

Step-by-step explanation:

Answer:

i need points sorry

Step-by-step explanation:

Answer:

[tex] \large{ \tt{♕ \: EXPLANATION }}: [/tex]

[tex] \boxed{ \large{ \tt{✺ \: PERIMETER \: OF \: SQUARE \: ( \: P \: )= 4l}}}[/tex]

- Plug the value of length ( L ) of square :

[tex] \large{ \tt{↬P = 4(4x - 8)}}[/tex]

- Distribute 4 through the parantheses :

[tex] \large{ \tt{↬P = 4 \times 4x - 4 \times 8}}[/tex]

[tex] \large{ \boxed{ \tt{↬P = 16x - 32 \: units}}}[/tex]

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Answer:

[tex]D) 15[/tex]

Step-by-step explanation:

[tex]39^{2}=36^{2} +PT^{2}[/tex]

[tex]PT^2=39^2-36^2[/tex]

[tex]PT=\sqrt{39^2-36^2}[/tex]

[tex]PT=15[/tex]

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hope it helps...

have a great day!!

Answer:

[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]

Step-by-step explanation:

The common divisor is the greatest natural number so that two or more natural numbers have no remainder. If [tex]m[/tex] is a common divisor of [tex]x[/tex] and [tex]y[/tex], then [tex]p = \frac{x}{m}[/tex] and [tex]q = \frac{y}{m}[/tex], where [tex]p[/tex], [tex]q[/tex] [tex]\in \mathbb{Z}[/tex]. Then, we have the following expression:

[tex]\frac{x}{y} = \left(\frac{x}{y} \right)\cdot 1 = \left(\frac{x}{y}\right)\cdot \left(\frac{m}{m} \right) = \frac{\frac{x}{m} }{\frac{y}{m} }[/tex]