The average low temperature for a town during the month of May is 53 degrees Fahrenheit. For the past 8 years, the low temperature has been not more than 11 degrees above or below that average during the month of May. Write an inequality to represent this situation. Sketch the inequality on a number line.

Answer:

Step-by-step explanation:

-2 < n+3 ≤ 4

Make two separate equations,

-2 < n+3

Subtract 3 from both sides,

-2-3 < n + 3  -3

-5 < n

So, value of n should be greater than (-5)

n +3 ≤ 4

Subtract 3 from both sides

n ≤ 1

So, n value should be less than or equal to 1

So, n value should be greater than -5 and less than or equal to 1

n= { -4, -3 , -2 , -1 ,0 ,1 }

Answer:

( 3, 1650 ), Where x = 3, and y = 1650 -

Approximately

Step-by-step explanation:

Take a look at the procedure below;

[tex]y = 534x,\\y = 74.80x + 1,419\\\\y = 534x,\\y - 74.8x = 1,419\\\\( 534x ) - 74.8x = 1,419\\459.2x = 1,419\\x = ( About ) 3\\\\y = 534 * ( x ),\\y = 534 * ( 3.1 ),\\y = ( About ) 1650[/tex]

We first converted the second equation into standard form, by subtracting 74.8x on either side. Afterwards we substituted 534x in replacement of y in this second equation, and solved for x. Knowing the value of x, it was substituted back into the first equation to solve for the value of y. Hence, the resulting solution is ( 3, 1650 ) - approximately.

* I apologize for not including a graph *

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The amount of benzocaine in 300 ml solution is,

Amount = 0.08 × 300 = 24ml

Since after the dilution the amount of benzocaine will be the same, therefore, we can write,

0.05 of X ml = 24 ml

X = 24/0.05

X = 480 ml

Hence, If you diluted 300 mL of 8% benzocaine lotion to 5%, you will be able to produce 480 ml of 5% lotion.

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Answer:

Step-by-step explanation:

1) ∠AED = ∠ BEC

2) ∠AEB = ∠DEC

3) ∠DEC = ∠AEB

4) ∠CEB = ∠AED

Answer:

Well first, the image is probably a line, because you can't reflect a point on 2d shape horizontally or vertically across one point. That just wouldn't work. So given that the shape is just a line, reflecting horizontally and vertically would not change how the shape looks.

Answer:

1. true

2. false

Step-by-step explanation:

i think :)

Answer:

16

Step-by-step explanation:

Triangle area = (1/2)*b*h

Base = b = 4

Height = h = 8

Area = (1/2) * 4 * 8 =  16

The area of the polygon shown in the figure is 16 unit square.

A polygon is a closed figure made up of three or more line segments connected end to end.

Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

WE can see from the given figure;

The Base = b = 4

The Height = h = 8

The Area of figure = (1/2) * 4 * 8

The Area of figure =  16

Hence, the area of the polygon shown in the figure is 16 unit square.

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Answer:

MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Step-by-step explanation:

From the figure attached,

ΔMON is a right triangle and coordinates of the points M and N are M(0, 2b) and N(2a, 0).

Coordinates of midpoint P → [tex](\frac{2a+0}{2}, \frac{0+2b}{2})[/tex]

From the formula of the distance between two points,

[tex]d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

[tex]\texttt {MN} = \sqrt{(2a-0)^2+(0-2b)^2}\\\\ = \sqrt{4a^2+4b^2}\\\\ = 2\sqrt{a^2+b^2}[/tex]

Similarly, OP

[tex]= \sqrt{(0-a)^2+(0-b)^2}\\\\ = \sqrt{a^2+b^2}[/tex]

Therefore, OP

[tex]= \frac{1}{2}(MN)[/tex]

and MN

[tex]= \sqrt{4a^2+4b^2}= 2\sqrt{a^2+b^2}[/tex]

Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

For more information, refer to the link given below:

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A normal distribution has its center at the mean and its spread is determined by the standard deviation. For the standard normal distribution, its mean is 0 and standard deviation is 1. It is in the shape of a bell curve. Most of the values fall in or around 0, forming the peak around this area. As you move away from 0, the values are less frequent which explains the drop-off. The distribution is continuous as you can have any real number (decimal or whole). It's also random because of the nature of statistics.

Answer:

its the middle one

Step-by-step explanation:

if y was 0

3x+2(0)=6

3x=6-0

x=2

if x was 0

3(0)+2y=6

2y=6

y=3

Answer:

48

Step-by-step explanation:

This is a counting problem, so we can use the counting principle. Since there are 4 pairs of pants, 3 shirts, and 4 pairs of shoes, we do 4 * 3 * 4, which equals 48.

Using the Fundamental Counting Theorem, it is found that there are 48 possible outcomes for the outfit.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, the options are as follows:

Hence, the total number of options given by:

[tex]N = 4 \times 3 \times 4 = 48[/tex].

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Answer:

The correct option is C.

C) The range represents the number of users each month for 36 months

Step-by-step explanation:

We have been given that:

x-axis ⇒ Number of Months

y-axis ⇒ Number of Users

x-axis values = 0 to 36

y-axis values = 0 to 60

We have a function which is represented by a straight line from (0,0) to (36,54).

We have to find the RANGE of the function.

Range of a function is a complete set of values of dependent variable y, for all possible values of independent variable x

As total number of months = 36

Range is the set of all values of y (Number of Users) for each month for a period of 36 months.

Hence, the correct option is C.

Answer:

c

Step-by-step explanation:

Answer:

depends on the sized of the room-send picture so I can help

Step-by-step explanation:

Answer:

-221 base 3

Step-by-step explanation:

We are to calculate the value of the numbers in base 3. One of the ways to do that is to first convert each number to base 10. Do the arithmetic, then convert back to base 3.

121 base 3 +2122 base 3 - 1200 base 3 - 2111 base 3

Let's convert to base10

See attachment for details

From the workings,

121 base 3 + 2122 base 3 - 1200 base 3 - 2111 base 3 = -221 base 3

Step-by-step explanation:

I think the first number is 2

Then 2 x 2 = 4 so there is a difference of 4 number

Then in between 6 and 14 there is a difference of 8 so 4 x 2 = 8

Then 16 so 8 x 2 = 16

So after 126 the number is 254

Answer:

62○

Step-by-step explanation:

To find the angle all you have to do is subtract 118○ from 180○ to get 62○. Because 180○ is a straight line! :)

Answer:

X = 62

Step-by-step explanation

To start we make x go next to 118 so they make a supplementary angle. We add x and 118 to make 180.

118 + X = 180, OR 180 - 118 = x

X = 62

Answer:

D) The price of fish per pound

Step-by-step explanation:

A continuous data is one which can take any value . it can have even value between any two consecutive number.

Example :

continuous data can have value between 4 and 5 like 4.5 4.001 and so on.

Discrete data is one which can be counted such as number of flowers, no of cars in parking.

it can take value such as 1,2, 12, 66  etc.

____________________________________________

Let go through the option

A) The number of times you flip a coin

We can count the number of times a coin is flipped .

Like 2 times, 3 times and hence it is discrete data and not a continuous one.

B) The number of students in a classroom

Student in a classroom can also be counted.

in a class there can be 12, 50, 66 etc students not 12.1 , 50.5 etc.

hence it is discrete data and not a continuous one.

C) The number of chocolate candies in a box

Again, chocolate number can be counted .

Number of chocolate can be 2, 4, 5 and not 2.1 , 4.6 etc and

hence it is discrete data and not a continuous one.

D>The price of fish per pound

Price of fist cannot be counted . Further, price of fish can be $2.5 , $ 4.555

hence it is a continuous data.

Based on above discussion

continuous data is represented by The price of fish per pound

Answer:

theres google for this

Step-by-step explanation:

37.5

Answer:

I think it should be A=37.5 I'm not so sure,hope this helps tho!

Step-by-step explanation:

Answer:

x=100

Step-by-step explanation:

Because they are vertical angles, AEG=FEB

You can see that FED+DEB=FEB

Therefore, 80+20=FEB=100

Since FEB=100 and FEB=AEG

AEG=100

Answer:

100°

Step-by-step explanation:

In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.

ACE = 20°

FED = 80°

FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°

hope this helps, brainliest is appreciated.

Answer:

10

Step-by-step explanation:

P(getting blue marbles) = 7/9

so;

x/45 = 7/9

x = 35

so the number of blue marbles is 35

45 - 35 = 10 red marbles

hope it helps .

all the best

Answer:

A =10 ft^2

Step-by-step explanation:

We need to find the area of the piece

A = l*w

A = 2/5 * 25

A = 2 * 25/5

A =2 * 5

A =10 ft^2

Answer:

area = 10

Step-by-step explanation:

2/5 x 25= 10

Answer:

Side of land = 55 m (Approx)

Step-by-step explanation:

Note: The given question is incomplete.

Given:

The land is in square shape.

Area of the land = between 3000m² and 3100m²

Find:

Approx side of the land.

Computation:

Side of land = [tex]\sqrt{Area\ of\ land}[/tex]

Side of land = [tex]\sqrt{3,000} \leq Side \leq \sqrt{3,100}[/tex]

Side of land =[tex]54.77\leq side \leq 55.67[/tex]

Therefore, Side of land = 55 m (Approx)

Answer:

X = C - By over A which also is A ≠ 0

Y = C - Ax over B which is also B ≠ 0

Step-by-step explanation:

Solve for x

First subtract "By" from both sides:

Ax + By - By = C - By

Then simplify,

Ax = C - By

Divide both sides by A:

Ax / A = C/A - By/A ; A≠0

Then simplify:

X = C - By over A ; A ≠ 0.

-------------------------------------

Solve for y

First subtract "Ax" from both sides:

Ax - By - Ax = C - Ax

Simplify,

By - C = Ax

Then divide both sides by B:

By/B = C/B - Ax/B ; B ≠ 0

Simplify:

Y = C-Ax / B ; B ≠ 0.

Hope this helps have a good day! :)

( This symbol '/' means a dash like a fraction btw same with the word over.)

Brainliest would be appreciated?

Answer:

my boi

Step-by-step explanation:

Answer:

(-1, 8) (-5, 11)

Step-by-step explanation:

We are subtracting 3 from the x coordinate and adding 5 to the y coordinate

(2,3) becomes (2-3, 3+5) = (-1,8)

(-2,6) becomes (-2-3, 6+5) = (-5,11)

Answer:

Subtract the second equation

from the first equation

Hope this helps.

8:3

24 / 3 = 8

9 / 3 = 3

48:18

48 / 2 = 24

18 / 2 = 9

Answer:

A. 8:3

24/3 = 8

9/3 = 3

B. 48:18

48/2 = 24

18/2 = 9

Answer:

Choice A

Step-by-step explanation:

I like to solve this by reversing the locations of the x and y, and then isolating y again.

y=4x-3

x=4y-3

x+3=4y

y=(x+3)/4

Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

KFC or KCF

3/4 times 4/1= 12/4 which is 3