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The answer is 5.25

First, you need to list all of the numbers from least to greatest. Then, you remove the sides (first 3.9 and 6.2 being the least and the greatest numbers). You then have 4.9 and 5.6 so you need to add them together (getting 10.6) and divide your answer by 2 (getting 5.25).

Hope I helped and good luck :)

Answer:

10/27

Step-by-step explanation:

Answer:

(2,-2)

Step-by-step explanation:

The solution to a system of equations like these, is where the two lines intersect. In this case, I believe, it would be at point (2,-2). Although, it is a little hard to pinpoint without the labeled number lines.

Hope this helps! Best of luck!

Hope this helps

Answer: [tex]y=3x[/tex]

Step-by-step explanation:

parallel lines have the same slope so you can have any line that is y=3x plus a number thats not 4

EXAMPLES:

[tex]y=3x-3[/tex]

[tex]y=3x+5[/tex]

[tex]y=3x-2[/tex]

Answer:

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Step-by-step explanation:

The illustration form a triangle that can be demarcated into 2 right angle triangle. One triangle representing depression triangle and the other elevation triangle.

Depression triangle

The opposite side of the triangle formed is the length of the pole from the base to the horizontal line of sight. Therefore,

using tangential ratio

tan 35° = opposite/adjacent

tan 35° = a/8

cross multiply

a = 8 tan 35°

a = 8 × 0.70020753821

a = 5.60166030568

a = 5.602 ft

Elevation triangle

The opposite side of this right angle triangle represent the length from the horizontal line of sight to the top of the lamppost.

tan 20° = opposite/adjacent

tan 20° = b/8

cross multiply

b = 8 tan 20°

b = 8 × 0.36397023426

b = 2.91176187413

b = 2.912 ft

Height of the lamppost = 5.602 ft + 2.912 ft = 8.514 ft

Answer: [tex]f(x)=x^{2} -9x+14[/tex]

Step-by-step explanation:

[tex]x=2,7[/tex]

[tex]f(x)=(x-2)(x-7)[/tex]

[tex]f(x)=x^{2} -9x+14[/tex]

Answer:

Step-by-step explanation:

Givens

We know that the area of a rectangle is

[tex]A= w \times l[/tex]

Where [tex]w[/tex] is width and [tex]l[/tex] is length.

We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have

[tex]25=7w[/tex] (this is the equation used to solve the problem).

[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]

Answer:

The equation is Area = length × width.

The width is approximately 3.57 inches.

Step-by-step explanation:

Door sign length, l = 7 inches

Area, A = 25 square inches

Width (w) is unknow.

Since the area is the product of the length and the width,

A = l×w

25 = 7×w

Dividing both sides by 7

w = 25/7

≈ 3.57 inches

Answer:

40 mph

Step-by-step explanation:

To find the maximum speed at which the car can travel, as the distance it requires to stop is 168 feet, we just need to use the value of d = 168 in the equation, and then find the value of s:

168 = 0.05s^2 + 2.2s

0.05s^2 + 2.2s - 168 = 0

Using Bhaskara's formula: we have:

Delta = 2.2^2 + 4*0.05*168 = 38.44

sqrt(Delta) = 6.2

s1 = (-2.2 + 6.2)/0.1 = 40 mph

s2 = (-2.2 - 6.2)/0.1 = -84 mph (a negative value does not make sense as 's' is the speed of the car)

So the maximum speed of the car is 40 mph

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

Answer:

LMJ and NMO

Step-by-step explanation:

Think of it as an X, top and bottom are vertical, and so are both sides together.

Answer:

LKJ and NMO

Step-by-step explanation:

Vertical angles are formed from the same lines and are opposite each other

LKJ and NMO are formed from the same lines and are opposite each other

Answer:

30.5 and 46

Step-by-step explanation:

The minimum is 30.5 and the maximum is 46

Answer:C 151

Step-by-step explanation:

7 * 15=105 + 46=151

Answer: 788

Step-by-step explanation:

Answer:

After 15 years the population will be 7,625

Step-by-step explanation:

3.5% of 5,000 = 175

175 x 15 = 2625

2625 + 5,000 = 7625

The population after 15 years should be  8,376

Since the population is 5,000 and it grows 3.5 years and the time period is 15 years

So, the population after 15 years is

[tex]= 5,000 \times (1 + 3.5\%)^{15}\\\\[/tex]

= 8,376

Therefore, we can conclude that The population after 15 years should be  8,376

Learn more about population here: https://brainly.com/question/24309536

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

60% *0.01 = 0.6

1/3*0.6=0.2=2/10=1/5

Answer:

1/5

The fraction is 1/5.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

60%

= 60/100

= 6/10

= 3/5

Now,

1/3 of 60%

= 1/3 x 3/5

= 1/5

Thus,

The fraction is 1/5.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ5

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

Answer:

The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.

Step-by-step explanation:

Answer:

$46.

Step-by-step explanation:

We plug m = 3 and c = 4 into the given expression:

Money made =  2*3 + 10*4

= $46.

Answer:

$48

Step-by-step explanation:

The rectangular wall is 6.5 m long and 3 m high and needs two coats of paint. This means the wall will be painted twice.

First, we find the area of the wall. The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the wall is:

[tex]A = 6.5 * 3 = 19.5 m^2[/tex]

One litre of paint covers an area of [tex]10m^2[/tex].

The paint can only be purchased in a full number of litres.

Therefore, let us find how many litres it will take to paint the wall once:

[tex]10m^2[/tex] = 1 litre

[tex]19.5 m^2[/tex] = 19.5 / 10 = 1.95 litres

Since the paint can only be bought in full number of litres, we approximate 1.95 litres to whole number, that is 2 litres.

2 litres is needed to paint the wall once.

Therefore, we need double of that to paint the wall twice, that is:

2 * 2 = 4 litres

Paint costs $12 per litre, therefore, the price for 4 litres is:

4 * 12 = $48

The cost of paint for the wall is $48.

Answe12800 miles

Step-by-step explanation:a year is 12 months, and mile round trip means there and back. so 532x24 for the 24 trips that equals 12768. 12768 rounded to the nearest hundreds is 12800

Answer:

+19

Step-by-step explanation:

8-(-11)= 8+11

8-(-11)=+19

Answer:

19

Step-by-step explanation:

8 - ( -11) =

8 + 11 =

19

The two negatives combine to make a positive.

Answer: 56.55

Step-by-step explanation: im assuming there was a typo and instead of free its fee so 25%-12% is 13% and 100%-13% is 87% therefore 87%of 65 is equal to 56.55

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

Answer: $8.40

Step-by-step explanation:

The problem states that Scott has deposited $40 and is earning 10% interest, annually. It asks how much interest he will earn in 2 years to the nearest cent.

First, the formula given is B=p(1+r)^t. Since Scott deposits $40, 40 would be the starting amount, p.

B=40(1+r)^t

R is the interest rate: 10%. We plug in 0.10 instead of 10% because r is the interest rate, not the percentage.

B=40(1+0.10)^t

T is time: 2 years

B=40(1+0.10)^2

Now that we have the equation filled out, we plug this into a calculator.

48.4=40(1+0.10)^2

We know that the final amount is $48.40. Unfortunately, the question is asking how much interest is earned. To find that, you would subtract the Final-Initial to get the interest.

48.4-40=8.4

Answer:

B=-5

C=3

Step-by-step explanation:

x^4-3x^3-7x^2+7x+2= x^4-3x^3-10x^2+3x^2+7x+2

=x^4-3x^3-10x^2+ 3x^2+7x+2

=x^2(x^2-3x-10)+ 3x^2+7x+2

=x^2(x^2+2x-5x-10)+ 3x^2+6x+x+2

=x^2(x(x+2)-5(x+2))+ 3x(x+2)+1(x+2)

=(x+2)(x^2(x-5)+(3x+1))

=(x+2)(x^3-5x^2+3x+1)

Answer:

B=-5

C=3

Step-by-step explanation:

Answer:

78k = k

Step-by-step explanation: