A student read a 303 –page book in 7 days. The table shows the total number of pages the student had read at the end
of each day for the 7 days. What was the average number of pages the student read per day from the end of day 2 to the end of day 6

The length of the rectangle is determined as x - 5 while the width is x² + 3.

The length of the rectangle is determined by the following formula shown below;

Area = Length x width

L = A/w

           x  - 5

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

x² + 3 √x³ - 5x² + 3x - 15

           -(x³  + 3x)

        --------------------------

             - 5x²  - 15

              -5x² - 15

        ----------------------------

                     0

Thus, the length of the rectangle is determined as x - 5 while the width is x² + 3.

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Answer:

40mph

Step-by-step explanation:

use the speed = distance/time formula.

1. The first car has a speed of 30mph and travels one mile so the equation can be written as 30mph = 1/t.

Rearrange to get t = 1/30

1/30 of an hour is 2 minutes.

2. The second car has a speed of 60 mph and travels one mile so the equation can be written as 60mph = 1/t

Rearrange to get t = 1/60

1/60 of an hour is 1 minute.

The time it took for the total journey is 1 + 2 = 3 minutes

Writing 3 minutes as a fraction of an hour:

3/60 = 1/20

So using the s = d/t formula to calculate the average speed the formula can be written as (the speed is unknown, time is 1/20 and the distance is 2 miles):

Speed = 2/(1/20) = 2x20/1 = 40

Therefore the average speed of that car is 40 mph.

The first question is B

the second one is c

Q1.

7 ÷ 8 = 7/8

1 ÷ 8 = 1/8 Answer

8 ÷ 7 = 8/7

1 ÷ 8 = 1/8

Q2.

5 ÷ 6 = 5/6

6 ÷ 5 = 6/5

1 ÷ 6 = 1/6 Answer

6 ÷ 1 = 6/1 or 6

Hopefully it Help you out :-)

Answer:

70-20=x

Step-by-step explanation:

210=3*20+3*necklace

3*necklace=210-3*20

necklace=70-20

Using the relation between velocity, distance and time, the equation that relates x and y is given by:

x + y - 3 = 0.

Velocity is distance divided by time, hence:

[tex]v = \frac{d}{t}[/tex]

In this problem, he wants to run 30 km at a rate of 10 km per hour, hence:

[tex]10 = \frac{30}{t}[/tex]

10t = 30

t = 3.

The total time is 3 hours. Considering x as the number of hours he runs and y the number of hours he walks, along with the total time, the equation is given by:

x + y = 3.

In standard form:

x + y - 3 = 0.

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Answer:

99/101

Step-by-step explanation:

sin is essentially opposite over hypotenuse

hence, 99/101 is = sin(F)

Interest be I

If interest is daily

If interest is monthly (30days)

Answer:

$ 1.20

Step-by-step explanation:

[tex]\sf Time = 10 \ days = \dfrac{10}{365}=\dfrac{2}{73}[/tex]

[tex]Interest = Principal * time *rate\\\\\\=470*\dfrac{2}{73}*\dfrac{9}{100}\\\\= 1.20[/tex]

= $ 1.20

Answer:

sinA = 0.79        tanA = 1.3

Step-by-step explanation:

Step1:

Find the length of the line going through the middle from A to C by using pythagorean theorem.

a = 13

b = 12

c= ?

c = sqrt(a^2 + b^2)

c = sqrt(13^2 +12^2)

c = 17.69

Step 2:

Use pythagorean theorem again to find the length of the line going from A to D.

a = ?

b = 14

c = 17.69

c^2 = a^2 + b^2

Now solve for a.

a^2 = c^2 - b^2

a = sqrt(c^2 - b^2)

a = sqrt(17.69^2 - 14^2)

a = 10.81

Step 3:

Use trignometry to find the values of sinA and tanA

sinA = opposite/hypotenuse = 14/17.69 = 0.79

tanA = opposite/adjacent = 14/10.81 =1.3

The point P is located on the second partition, when segment AB is divided into 5 subsegments

The ratio is given as:

AP : PB = 8 : 12

Simplify the ratio i.e. divide by 4

AP : PB = 2 : 3

The above ratio means that when the segment AB is divided into 5 equal segments, the point P is located on the second partition

Note that the question is incomplete, so I provided a general explanation

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Answer:

2y >= 5/2

Step-by-step explanation:

the lenghts on the figure are not

Answer:

50 cubic units

Step-by-step explanation:

The formula for volume of cube = length x width x height

so we do

5 x 5 x 2 =

25 x 2 =

50 cubic units

Hope this helps!

- profparis

Answer:

AA postulate the two triangles are similar

#1)

#2)

⇢3.9+5 = 8.9

⇢2.1 +5 = 7.1

⇢0.8+5 = 5.8

⇢1.5 +5 = 6.5

⇢4.1 +5 = 9.1

#3)

[ Thanks to fieryanswererft ]

Data: {3.9, 2.1, 0.8, 1.5, 4.1}

mean: sum of numbers/total numbers

⇒ mean: (3.9+2.1+0.8+1.5+4.1)/5 = 2.48

If all the data's are increased by 5

{8.9, 7.1, 5.8, 6.5, 9.1}

Then mean ⇒ (8.9+7.1+5.8+6.5+9.1)/5 ⇒ 7.48

If the data is doubled.

{7.8, 4.2, 1.6, 3, 8.2}

Then mean ⇒ (7.8+4.2+1.6+3+8.2)/5 ⇒ 4.96

Answer: In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to

540

°

. A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.

Properties of a Pentagon

1. Pentagons have five straight sides

2. Pentagons have five interior angles, which sum to

540

°

3. The five sides do not intersect

Step-by-step explanation:  Hello, I have only told you the properties on how to tell if it's a pentagon, please explain or show some type of image if you still need help!

Answer: it's c

your welcome:)

Step-by-step explanation:

Answer:

173%

Step-by-step explanation:

So, if one big square represents one whole it means each small square represents 1% as there are 100 of them in each large square.

The first square is completely shaded (100%) and the second square has 73 squares shaded (73%), so 100 + 73= 173%

Hope this helped! :)

Answer:

[tex]86.5 \ \%[/tex]

Step-by-step explanation :

the shaded area consists of 173 squares

The total area consists of 200 squares

THen the shaded area represents :

[tex](\frac{173}{200} \times 100) \ \% = 86.5 \ \%[/tex]

:

The Perimeter of the Field with a rectangular area of 1764 m² and the given width is; D: 170 m

We are given;

Area of rectangle; A = 1764 m²

We are told that the width of the field is 13 m more than the length. Thus;

W = L + 13

Thus;

L(L + 13) = 1764

L² + 13L = 1764

Using quadratic equation calculator;

L = 36 m

Thus;

W = 36 + 13

W = 49

Perimeter = 2(L + W)

Perimeter = 2(49 + 36)

Perimeter = 170 m

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[tex]2\sqrt 5 + 3 \sqrt{20}\\\\\\=2\sqrt 5 + 3 \sqrt{4 \times 5}\\\\\\=2\sqrt 5+ 3\cdot 2 \sqrt 5\\\\\\=2\sqrt 5 + 6 \sqrt 5\\\\\\=8\sqrt 5[/tex]

Answer:

The answer is 1/3

Step-by-step explanation:

Let the events of getting the no. greater than 4 be (>4).

Then,

n(s) = 6

n(>4) = 2

P(>4) = n(>4)/n(s)

=2/6

=1/3

radius= 7ft

height= 15ft

the amount of water the tank can hold as its maximum.

[tex]volume \: of \: cylinder = {\pi \: r}^{2} h[/tex]

[tex] = \pi \times {7}^{2} \times 15[/tex]

= 2309.07

therefore, the tank can hold 2309.07L of water as its maximum.

Answer:

5

Step-by-step explanation:

1. Add 7 to both sides of the equation:

2x = 10

2. Divide both sides by 2:

2x/2 = 10/2

x = 5

hope this helps!

Answer:

x=5

Step-by-step explanation:

2x-7+=3

add the 7 to both sides to cancel it out

2x=10

divide by 2

x=5

Answer: 0.165%

Step-by-step explanation: 102,000/62,000,000, × 100%

Answer:

What's the full question? I'm not sure how to help with just this information :(

Permutation helps us to know the number of ways an object can be arranged in a particular manner. The number of ways the remaining player can be arranged is 1,814,400.

Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.

[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

Given that the team has 11 players while there are only 9 positions available, therefore, the number of ways the coach can choose 9 people and arrange them is,

[tex]^{11}P_9 = \dfrac{11!}{(11-9)!} = \dfrac{11!}{2!} = 19,958,400[/tex]

Now, since Amy does not want to be a pitcher, therefore, the number of ways the remaining people can be arranged in the place of the pitcher is 10.  Also, the position remaining in the team is 8, while the number of people remaining is 10. Thus, the number of ways the remaining people can be arranged are,

[tex]\text{Number of ways}= ^{10}P_8 =\dfrac{10!}{(10-8)!} = 1,814,400[/tex]

Hence, the number of ways the remaining player can be arranged is 1,814,400.

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Answer:

19,958,400,

10,

8,

1,814,400

Step-by-step explanation:

Answer:

-7.8 :)

Step-by-step explanation:

first perform 44 minus 90

then add 7 to that

then divide that by 5

Answer:

[tex]L[/tex] ≤ [tex]29[/tex]

Step-by-step explanation:

Given

Perimeter = 57 (at most)

Required

Determine the length of each side

The term at most in the values of the perimeter shows that the expression is an inequality and it means that perimeter can't exceed that value;

Let L represents the length of each sides;

Perimeter [tex]=L+L+L[/tex]

So,

[tex]L+L+L[/tex] ≤ [tex]57[/tex]

[tex]3L[/tex] ≤ [tex]57[/tex]

Divide both sides by 3

[tex]3L[/tex] ÷ [tex]3[/tex] ≤ [tex]57[/tex] ÷ [tex]3[/tex]

[tex]L[/tex] ≤ [tex]29[/tex]

Answer:

there are 5,280 feet in one miles

so 5,280 times greater

Answer:

Answer choice A

Step-by-step explanation:

because Line ur and rs are equal and lines UT and TS are equal