This year, The Lexington Times had 12,698 subscribers. That is 40% more than they had last year before the paper was bought out. How many subscribers did the paper have last year?

Answer:

80cm^2

Explanation:

Okay to do this, it's often better to find the area of each shape separately.

Let's start with the top rectangle:

4cm*7cm = 28cm^2

Bottom rectangle:

to find the length of it, we just add 3cm and 7cm which = 10cm

so:

10cm*4cm = 40cm^2

And finally the triangle:

to find the bottom side: 13cm - 7cm - 3cm = 3cm

to find the height: 4cm + 4cm = 8cm

so:

8cm*3cm*/2 = 24cm/2

= 12cm^2

Now we add them all up:

28 + 40 + 12 = 80cm^2

Answer:

[ Refer to the above attachment ]

In the given figure there are two shapes:

First, we have to find the area of Rectangle ABGF & DCGE. After that, area of triangle CHB.

1) Area of Rectangle ABGF:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

➝ 4 cm × 10 cm

➝ 40 cm²

Hence, the area of Rectangle ABGF is 40cm².

2) Area of Rectangle DCGE:

As, we know:

Formula for Area :-

★ Length × Breadth ★

where,

➝ 4 cm × 7 cm

➝ 28 cm²

Hence, the area of Rectangle DCGE is 28cm².

3) Area of Triangle CHB:

As, we know:

Formula for Area :-

★ ½ ( base × height ) ★

where,

➝ ½ ( 3cm × 8cm )

➝ ½ ( 24cm )

➝ ½ × 24cm

➝ 12 cm²

Hence the Area of Triangle CHB is 12cm².

Now, Area of Given Shape is:

➝ 40cm² + 28cm² + 12cm²

➝ 52cm² + 28cm²

➝ 80cm²

Thus, the area of the given shape is 80cm².

[ Formula's for Area ]

★ Square = (Side)²

★ Rectangle = Length × Breadth

★ Triangle = ½bh

★ Circle = πr²

Considering the sum of the internal angles of a triangle, it is found that the correct student is Paige.

The sum of the three internal angles of a triangle is of 180º, and none of the angles can be zero.

Hence, a triangle can have at most one right angle(angle of 90º), and researching the question on the internet, the student who states this is Paige.

More can be learned about the sum of the internal angles of a triangle at https://brainly.com/question/25215131

Answer:

-23a + 64

Step-by-step explanation:

-8(-2a + 4a - 8) - 7a

First combine like terms

-8(2a - 8) - 7a

Then distribute

-16a + 64 -7a

Combine like terms

-23a + 64

Answer:

20

Step-by-step explanation:

the answer is 20

Out of 150 cards, 10 of those are Jimmy's -> The probability of Jimmy winning a free lunch is 10 : 150 = 10/150 (simplified as 1/15)

Answer: 234

Step-by-step explanation: by getting the 175 and multiple them to get 234 if you percent the area of 140 to put together.

Answer:

Step-by-step explanation:

[tex]Percentage=\dfrac{number \ of \ students \ wearing \ headphones}{Total \ students}*100\\\\\\=\dfrac{140}{175}*100\\\\\\= \dfrac{140}{7}*4\\\\\\=20*4\\\\[/tex]

= 80%

A function is a relation in which there is only one y-value for every x-value.

For every 1 input, we only get 1 output.

Every value of x produces a single value of y.

Therefore, this relation is a function.

Answer:

x= 59.73

HOPE IT HELPSSSS

A quadrilateral is a shape with four vertices

The true statement about the quadrilateral ABCD is that the quadrilateral has unequal lengths

The coordinates of the vertices are given as:

A = (1,1)

B = (5,2)

C =  (8, -6)

D = (0, -8)

Next, we calculate the distance between the vertices using the following distance formula

[tex]d=\sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB=\sqrt{(1 -5)^2 + (1 -2)^2} = \sqrt{17}[/tex]

[tex]BC=\sqrt{(5 - 8)^2 + (2 +6)^2} = \sqrt{73}[/tex]

[tex]CD=\sqrt{(8 - 0)^2 + (-6 + 8)^2} = \sqrt{68}[/tex]

[tex]DA=\sqrt{(0 - 1)^2 + (-8 - 1)^2} = \sqrt{82}[/tex]

From the above computation, we have the lengths to be unequal

Hence, the true statement about the quadrilateral ABCD is that it has unequal lengths

Read more about quadrilaterals at:

https://brainly.com/question/16691874

Answer:

3

Step-by-step explanation:

3 is the second smallest prime number.

The second smallest prime number is 3

What are prime numbers:

 ⇒ numbers that are divisible only by itself and '1'

    ⇒thus they are numbers that have exactly two factors, itself and one

The first prime number is 2, not 1, because 1 doesn't have two factors. Thus, the second prime number is 3.

Hope that helps!

Answer:

[A] 3 1/2

Step-by-step explanation:

[tex]\mathrm{Given}[/tex]

[tex]4\frac{5}{8}-1\frac{1}{8}[/tex]

[tex]\mathrm{Subtract\;Whole\;numbers}[/tex]

[tex]4-1=3[/tex]

[tex]\mathrm{Combine\;fractions}[/tex]

[tex]\frac{5}{8}-\frac{1}{8}=\frac{4}{8}=\frac{1}{2}[/tex]

[tex]=3+\frac{1}{2}[/tex]

[tex]=3\frac{1}{2}[/tex]

Hence, the answer is [A] 3 1/2

~Lenvy~

Considering the circumference of the circles, it is found that 18.9 metres of edge board would be required to form the drive.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex]

In this problem, considering that the outside radius is 20.0 m and the inside radius if of 17.0 m, the drive has a radius of r = 3 m, hence:

[tex]C = 2\pi r[/tex]

[tex]C = 2\pi \times 3[/tex]

[tex]C = 6\pi[/tex]

[tex]C = 18.9[/tex]

18.9 metres of edge board would be required to form the drive.

More can be learned about the circumference of a circle at https://brainly.com/question/25846963

Answer:

The median is 26

Step-by-step explanation:

A "median" is equivalent to, when the terms are arranged in the proper order, whichever term is in the "middle".

So- first, arrange the terms in ascending order.

[22, 22, 23, 23, 29, 29, 29, 31]

There are an even number- eight- terms in total, so we will take the average of the two "middle" terms.

(29+23)/2; 29 and 23 are the "middle" terms, and there are two of them.

(52)/2 = 26

Therefore, the median is 26.

I hope this helped! :)

Answer:

The answer is 26 hope this helps:DD

Step-by-step explanation:

Answer for: K12 5.03 Quiz: Median

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

Explanation:

The average rate of change is the same as the slope of the line through the endpoints mentioned.

The interval [6, 8] means that we're talking about [tex]6 \le x \le 8[/tex]

So we're tasked to find the slope of the line through (6,1178) and (8,2742)

We'll use the aptly named slope formula.

[tex](x_1,y_1) = (6,1178) \text{ and } (x_2,y_2) = (8,2742)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2742 - 1178}{8 - 6}\\\\m = \frac{1564}{2}\\\\m = 782\\\\[/tex]

The slope through those two endpoints is 782, which is the average rate of change on the interval [6, 8].

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

For the interval [5,7] we have [tex]5 \le x \le 7[/tex]

According to the function table,

Like before, use the slope formula to find the slope through (5,690) and (7,1182)

[tex](x_1,y_1) = (5,690) \text{ and } (x_2,y_2) = (7,1182)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1182 - 690}{7 - 5}\\\\m = \frac{492}{2}\\\\m = 246\\\\[/tex]

This is the average rate of change on the interval [5,7].

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

The last step is to subtract the slopes:

782 - 246 = 536 which is the final answer

Step-by-step explanation:

x = weight of a small box

y = weight of a large box

x + y = 70 pounds

55x + 60y = 4050 pounds

from the first equation we get

x = 70 - y

and we can use that identity in the second equation :

55(70 - y) + 60y = 4050

3,850 - 55y + 60y = 4050

5y = 200

y = 40 pounds

x = 70 - y = 70 - 40 = 30 pounds

so, a small box weighs 30 pounds, and a large box weighs 40 pounds.

Answer:

-36/7

Step-by-step explanation:

-4/7 x 9

-4 x 9/ 7

That’s how I got -36/7

Answer: 7

Step-by-step explanation:

The sum of the values is 63, and there are 9 values. Since mean=(sum of values)/(number of values), we get 63/9 = 7.

Answer:

x2-9x is a quadratic binomial. :)

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

Empirical rule states that for a normal distribution, about 68% of the values fall within one standard deviation from the mean, 95% of the values fall within two standard deviation from the mean and 99.7% of the values fall within three standard deviation from the mean.

Amount that have more than 2 standard deviations above the mean = (100% - 95%) / 2 = 2.5%

About 2.5% of the women have a body temperature more than 2 standard deviations above the mean.

Find out more on empirical rule at: https://brainly.com/question/10093236

Answer:

d=243

Step-by-step explanation:

[tex] \frac{d}{9} = 27[/tex]

Multiply both sides by 9

D= 243.

To test it:

[tex] \frac{243}{9} = 27[/tex]

Calculator verifys it.

Hope that helped ;)

Answer:

the answer is 13yd

Step-by-step explanation:

you have to devide and have to mutlpy

Answer:

4.95/1.1 = 4.5 approximately 5 bags

Answer:

A. 42

B. -3

C. 12

D. 0

D is the answer

Step-by-step explanation:

2x² - 7x + 3

A.

2(-3)² - 7(-3) + 3

18 + 21 + 3 = 42

B.

2(2)² - 7(2) + 3

8 - 14 + 3 = -3

C.

2(-1)² - 7(-1) + 3

2 + 7 + 3 = 12

D.

2(3)² - 7(3) + 3

18 - 21 + 3 = 0

I'm not sure what E is, sorry about that. I hope this helped!

Answer:

70 [tex]ft^{3}[/tex]

Step-by-step explanation:

B = l x w

B = 2.5 x 7

B = 17.5

V = Bh

V = 17.5(4)

V  = 70

units are cubed for volume

Its easier to multiply the 3 number and get the answer instead of doing multiple steps

Answer: Thousand

The 4 is in the hundred thousand

The 3 is in the ten thousand

The 2 is in the thousand

The 0 is in the hundred

The 7 is in the tens

The 9 is in the ones

Answer:

35

Step-by-step explanation:

Let other number be X

According to the question

4 × X= 20

7

X=20×7

4

X=35

Answer:

  application of L'Hopital's rule to the presumed indeterminate form yields this conclusion

Step-by-step explanation:

This is a reverse application of L'Hopital's rule for determining the limits involving indeterminate forms.

When the expression evaluated at the limit is 0/0, then L'Hopital's rule tells you the limit can be found from n'/d', where n and d are the numerator and denominator of the original expression, respectively.

We can see that x-π = 0 at x=π, so we assume that f(π) = 0 as well, and the expression n/d = f(x)/(x-π) evaluates to the indeterminate form 0/0.

The derivatives are ...

  n' = f'(x)

  d' = 1

Then we have the limit as ...

  lim{x→π) = n'/d' = f'(π)/1 = 3   ⇒   f'(π) = 3

The conclusion f(π)=0 and f'(π)=3 follows from L'Hopital's Rule.

Answer:

2 , 3 , 1 , 4

Step-by-step explanation:

Best way to convert fractions to decimals without a calculator is to look at denominator.

divide 100 by the denominator.

take your answer and multiply the numerator by that number.

put a decimal in front of answer

example : [tex]\frac{7}{20}[/tex]

100 divided by 20 is 5

5 times 7 is 35

place a decimal in front of answer

.35

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

Answer:

  n(A) = 25

Step-by-step explanation:

The relation between cardinality of two sets and that of their union and intersection is ...

  n(A∪B) = n(A) +n(B) -n(A∩B)

  32 = n(A) +16 -9 . . . . . use the given information

  25 = n(A) . . . . . . . . . subtract 7