Question:

Consider the rectangle shown here.

A. State its area in square inches.

B. State its area in square feet, to the nearest tenth.

C. In general, A square inches equals how many square feet?

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

[tex]2x+y<10\\y=10-2x[/tex]

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.

Answer:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Step-by-step explanation:

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

-3x-4= +12

X negative 3 and 4 then add +12 to it.

Answer:

6x = 30

Step-by-step explanation:

6x

Let x = 5

6*5 = 30

6x = 30

________________________________

Hey!!!

Solution,

X=5

Now,

6x

=6*5

=30

So the right answer is 30.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

______________________________

Answer:

84

Step-by-step explanation:

Answer:

No solution.

Step-by-step explanation:

Given fraction is:

[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]

Formula used:

[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]

But, the above equation was solved at the condition that:

[tex]m\neq 3[/tex]

So, there is no solution for the given equation.

Answer:

D on Edge2020 (No solution)

Step-by-step explanation:

Answer:

241.5 ft^2

Step-by-step explanation:

First, find the area of the deck. A = LW.  L = 20, W = 16.

20 x 16 = 320.

Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex].   r = 5.  

A = (pi)5^2

A = 25(pi)       pi =  3.14

A = 78.5

Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.

320 - 78.5 = 241.5

Answer: She earned 868,5 in total last week.

Step-by-step explanation:

18 x 40 = 720 --> earned during the first 40 hours of work

27 x 5,5 = 148,5

148,5 + 720 = 868,5--> total

Answer:

$868.50

Step-by-step explanation:

She worked for 40 hours and gained $18 per hour. That equals $720. She then worked for 5.5 more hours gaining $27 an hour. That equals $148.5. Add those together and you get $148.50.

Answer:

the unit rate is 3

Answer:

60 lemons/ 15 cents=4 lemons so

4 lemons can be bought for 60 cents

Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

Answer:49.10988336

Step-by-step explanation:

800 divided 16.29

800÷16.29=49.10988336

Answer:

Diameter of the earth is 7930.25 miles

Step-by-step explanation:

To find the diameter of the earth, we will follow the steps below:

first write the formula of the circumference

c = 2πr ---------------------------------------------------------------------------------------------(1)

where r is the radius  and c is the circumference

from the diagram below, circumference is given to be 24901 miles

π = 3.14

substitute the value of c and π  into equation (1) and solve for r

c = 2πr

24901 = 2 × 3.14× r

24901 = 6.28 r

Divide both-side pf the equation by 6.28

24901/6.28 = 6.28 r/6.28

3965.1274≈ r to the nearest tenth

r≈ 3965.1274 miles

But diameter = 2r

diameter = 2 × 3965.1274

diameter ≈ 7930.25  to the nearest tenth

Diameter of the earth is 7930.25 miles

Answer:

Step-by-step explanation:

The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.

C = πd

Given C = 24, 901miles and π = 3.14, on substituting,

24, 901 = 3.14d

d = 24,901/3.14

d = 7930.255

d ≈ 7930.3miles to the nearest tenth

Answer:

x=-3

Step-by-step explanation:

\left(5^3\right)^2\cdot 5^{x+4}=5^7

Apply\:exponent\:rule

x+10=7

x=-3

Answer:

x = -3

Step-by-step explanation:

(5^3)^2 · 5^(x+4) = 5^7

First of all, we simplify (5^3)^2. When you have an exponent in parentheses that is raised to another exponent that is outside the parentheses, you multiply the exponents.

(5^3)^2 = 5^(3·2) = 5^6

We cannot simplify 5^(x+4) or 5^7 any further, so our equation is now:

5^6 · 5^(x+4) = 5^7

We can divide 5^6 from both sides to get:

5^(x+4) = (5^7)/(5^6)

When exponents of like terms are divided we can subtract the exponents.

5^(x+4) = 5^(7-6)

5^(x+4) = 5^1

This last part is a bit trickier. When exponents of like terms are multiplied we add the exponents. We can use this knowledge to determine that 5^(x+4) is made up of 5^x · 5^4. Now we have:

5^x · 5^4 = 5^1

We can divide both sides by 5^4.

5^x = (5^1)/(5^4)

We simplify the right side by the same way we did earlier when we divided exponents:

5^x = 5^(1-4)

5^x = 5^-3

We can see that x = -3, but using logarithms, we can finish isolating x. Taking the log base 5 of both sides, we get:

x = log₅(5^-3)

If you don't already know, log₅(5^-3) means what exponent do you raise 5 to in order to get 5^-3. After stating it like this, we can clearly see that log₅(5^-3) equals -3.

So x = -3

Another way we could have solved the logarithm is by using one of the laws of exponents. In this case, we would use logₐ(x^y) = y(logₐm). This would give us:

x = -3(log₅5)

x = -3(1)

x = -3

Either way works.

Answer:

See bolded below

Step-by-step explanation:

Our first clue is that Baker is a girl, as this person was referred to as a she. Now she claims to have been placed higher if she didn't eat that blueberry pie, which means she is not first place. Our second clue is that Patrick ranked higher than Davis but lower than Natalie. Patrick and Davis are first and last names, which means they do not go together. And of course Davis is lower than Natalie. Coaster's father was proud of her daughter's ability to eat so much pie, so Coaster must be a girl's last name. There are only two girls, Analee and Natalie, so Coaster should be one of their names. This girl Coaster must have ranked first place. Analee ranked lower than Adam. If this is true, it should be that Natalie is associated with Coaster, considering she is the only girl that could have ranked first place! Lastly, Conner didn't rank last place;

[tex]Baker - she, Baker - Not 1st\\Patrick \neq Davis, Patrick > Davis, Patrick < Natalie,\\Natalie Coaster - 1st Place,\\Analee Baker[/tex]

Thus, we can conclude the following;

Natalie Coaster - 1st Place,

Patrick Adams - 2nd Place,

Analee Baker - 3rd Place,

Connor Davis - 4th Place

Answer:

h = 5 + 1.5d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C 135.

Step-by-step explanation:

For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225  * 3/5

= 45 * 3

= 135 adults.

Answer:

an interior angle is an angle inside a shape, while an exterior angle is an angle made by the side of a shape and a line drawn out from an adjacent side. The sum of the interior angles of a triangle is always 180. ... An exterior angle is equal to the sum of the non-adjacent interior angles.

Step-by-step explanation:

Answer:

An angel that forms a linear pair with okie of the interior angels of the triangle

Step-by-step explanation:

Answer:

Thje answer is D.

Step-by-step explanation:

The circumference is always 22/7 times longer (about 3.14)

Answer:

195

Step-by-step explanation

since its 13 times 6 times 5 that is 390, but u have to do one half for triangles so its 195 i think

Answer:

Step-by-step explanation:

6n because 6n it's 6 times n

______________________________

Hey!!

Answer: 6n

6n does not represent "the sum of n and 6"

6n represents "the product of n and 6"

Hope it helps..

Good luck on your assignment

___________________________

Answer:

the figure could be a rhombus because the 2 lines of symmetry bisect the angles

Step-by-step explanation:

Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.

Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:

A line of symmetry is a line that divides a shape such that they become mirror images of each other.

Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).

Learn more here: https://brainly.com/question/19670823

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer: 10 cups

Step-by-step explanation:

10 tortillas = 4 cups

25 tortilas = 25/10 x 4 = 10 cups

Answer:

10 cups

Step-by-step explanation:

Let's use a ratio:

cups : tortillas

   4    :     10

   2    :      5

  10    :     25

Stephanie needs 10 cups of flour.

To write the equation, we need the slope and y-intercept.

Remember that slope is the same as rate of change

or the change in y over the change in x.

Start by setting up a table with x and y values

which I have provided below.

Filling out our table, our given points are (10, 50) and (25, 20).

In the y column, we can see that the value of y

goes from 50 to 20 so it decreases by -30.

This means that the change in y is -30.

In the x column, we can see that the value of x goes from 10 to 25

so it increases by 15 which means that the change in x is 15.

So the rate of change is -30/15 which simplifies to -2.

To find b, we can use any ordered pair

in our table as the values for x and y.

Let's use the first ordered pair.

So we have 50 = -2(10) + b.

Solving from here, we get 50 = -20 + b.

Now add 20 to both sides to get 70 = b.

So if our slope is -2 and our y-intercept is 70,

we can substitute these values into our formula.

This gives us y = -2x + 70.

________________________________

Solution,

X+7=23

or,X=23-7

X=16

The value of X is 16.

Hope it helps

Good luck on your assignment

______________________________

Answer:

Step-by-step explanation:

x  + 7 = 23

When doing this problem, the general goal is to make one side only have 'x'. To do that, subtract from one side the amount that you subtract from the other side.

x + 7 = 23

   - 7 = -7     <-- This is where you remove from one side what you remove          x + 0 = 16           from the other side.

Now that one side only has X, we can find the answer.

x = 16

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer:

44.4

Step-by-step explanation:

right on edge