Rate
Minutes Miles
0 0
5 3
10 7
15 12
20 17
25 21


The table shows how many miles Brandon has traveled after the specified period of time. Find Brandon's rate in miles per minute between 15 and 20 minutes. A) 1 mile per minute B) 5 miles per minute C) 12 miles per minute D) 17 miles per minute

Answer:

15+s=

Step-by-step explanation:

Answer:

[tex]1,404\ lb[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{126}{21}\frac{earth}{moon} =\frac{x}{234}\frac{earth}{moon}\\ \\x=126*234/21\\ \\x=1,404\ lb[/tex]

Answer: 1,404 lb

Step-by-step explanation:

1. You have the following information given in the problem:

- The weight of the astronaut on eart is 126 lb.

- The weight of the astronaut on the moon is 21 lb.

2. Therefore, you can calculate the weight of a person on earth, knowing that that person weighs 234 lb of the moon, as following:

[tex]weight_{earth}=\frac{(234lb)(126lb)}{21lb}\\\\weight_{earth}=1,404lb[/tex]

Then, the person would weighs 1,404 lb on earth.

Answer:

Step-by-step explanation:

Expression: [tex]x^3-xy+y^2-9[/tex]

7. How could y^2 be rewritten?

y^2 can be rewritten as y*y

8. What does the term xy mean?

The term xy mean that the value of x is multiplied with the value of y or we can sy that we are taking product of x and y.

9. Can you combine all the Xs and Ys in this expression?

No, because the term xy has one x term and one y term and due to this we cannot combine all the Xs and Ys in this expression. We can only combine like terms that have same variables.

Answer:

17) Length of arc QPT = 20.9 inches

18) Length of arc QR = 12.6 feet

19) Length of arc PQR = 39.3 meters

20) x = 161°

21) x = 123°

22) x = 24 units

23) EB = 4 units

24) EB = 14 units

Step-by-step explanation:

∵ The length of any arc = Ф/360 × 2πr

   where Ф is the central angle subtended by this arc

17) ∵ m∠RZQ = 60° ⇒ central angle

∵ m∠QZP = 90° ⇒ centeral angle

∵ m∠RZT = 180° ⇒ Z ∈ TR

∴ m∠TZP = 180 - 90 - 60 = 30°

∴ m∠QZT = 90 + 30 = 120° ⇒ central angle

∵ ∠QZT subtended by arc QPT

∵ m∠QZT = 120 , r = 10 inches

∴ Length arc QPT = 120/360 × 2π × 10 = 20.9 inches

18) ∵ m∠QZR = 60° ⇒ central angle subtended by arc QR

∵ r = 12 feet

∴ The length of arc QR = 60/360 × 2π × 12 = 12.6 feet

19) ∵ m∠PZR = 60° + 90° = 150°⇒ central angle subtended

     by arc PQR

∵ r = 15 meters

∴ The length of arc PQR = 150/360 × 2π × 15 = 39.3 meters

20) ∵ SU = ST

∴ Measure of arc SU = measure of arc ST

∵ The measure of the circle is 360°

∵ Measure of arc UT = 38°

∴ x = (360 - 38) ÷ 2 = 161°

21) ∵ AB = AC

∴ Measure of arc AB = measure of arc AC

∵ The measure of the circle is 360°

∵ Measure of arc BC = 114°

∴ x = (360 - 114) ÷ 2 = 123°

22) ∵ The two arcs are equal

∴ Their chords are equal in length

∴ 2x - 12 = 36 ⇒ 2x = 36 + 12 ⇒ 2x = 48

∴ x = 24

23) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 20 , CD = 24

∴ CE = 24/2 = 12

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 20 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(20² - 12²) = 16

∵ AB = 20 ⇒ radius

∴ EB = 20 - 16 = 4

24) In circle A

∵ AB is a radius and CD is a chord

∵ AB ⊥ CD

∴ AB bisects CD at point E

∵ AB = 35 , CD = 56

∴ CE = 56/2 = 28

In ΔAEC

∵ m∠ AEC = 90

∵ AC = 35 ⇒ radius

∵ AE = √[(AC)² - (CE)²] ⇒ Pythagoras theorem

∴ AE = √(35² - 28²) = 21

∵ AB = 35 ⇒ radius

∴ EB = 35 - 21 = 14

Step-by-step explanation:

Let's set up a proportion.

345.12/4638.34=x/100.

A percent is always out of one hundred and is the part out of a whole, so  to solve for it we must set x equal to the part (345.12) out of the whole (4638.34).

Now if we solve for x it will equal 7.440593, which is kind of a big number. We can round it to the nearest hundredth, 7.44%, or just round it to the nearest percentage 7%.

To calculate the percentage of Louis's income that is taxed, we divide the amount of tax by the total income and multiply by 100. This tells us that Louis pays roughly 7.44% of his monthly income in taxes.

To find out the percentage of income that Louis paid in taxes, we first need to divide the total amount of taxes ($345.12) by Louis's total monthly income ($4638.34) and then multiply by 100 to get the percentage. The calculation would look like this: ($345.12 / $4638.34) * 100. If you compute this, you will find that Louis pays about 7.44% of his monthly income in taxes.

So, the percentage that has been removed from Louis's income for taxes is 7.44%.

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Answer:

Part 1)

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

Step-by-step explanation:

Part 1) Write the ordered pairs that represent Henry and the Library

we have that

Henry's location is at the ordered pair [tex](-3,4)[/tex]

Libray's location is at the ordered pair [tex](2,-3)[/tex]

Part 2) Describe Henry's location relative to the library

Observing the graph  

Henry is 5 city blocks at the left of the library and 7 city blocks up of the library

90-64= 26 degrees .....

Answer:

They can be introduced 24 different ways

Step-by-step explanation:

To find this, use the factorial function (!)

4! = 4 * 3 * 2 * 1 = 24

Answer:

They're name and age.

Step-by-step explanation:

Step 1: The student would say his/her name.

Step 2: The student would say his/her age.

Step 3: The student would say his/her birthday.

You would have to divide because 30/5= 6 and 6/2= 3

Answer:

The answer is 6.

Step-by-step explanation:

Start with the parentheses. Think of what operations can work for this. Since the answer (3) is small, division makes sense.

(30 / 5) = 6

Then, divide 6 by 2. The answer is 3.

I hope this helped! :-)

Answer: -1 1/2

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

Dividend = [tex]\frac{9}{10}[/tex]

Divisor = [tex]\frac{-3}{5}[/tex]

Now divide [tex]\frac{9}{10}[/tex] by  [tex]\frac{-3}{5}[/tex]

So,  [tex]=\frac{\frac{9}{10}}{\frac{-3}{5}}[/tex]

[tex]=\frac{9}{10} \times \frac{5}{-3}[/tex]

[tex]=\frac{45}{-30}[/tex]

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

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

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

So, [tex]\frac{9}{10} \div \frac{-3}{5} = \frac{-3}{2}=-(1\frac{1}{2})[/tex]

Answer:

I will try my best to answer

Answer: who trynna hlp me take a bath nooo kap

Step-by-step explanation:

Answer:

909 mm

Step-by-step explanation:

There are 10 mm in a cm

90 x 10 = 900

900 + 9 = 909 mm

(Unless you're asking if this is true/false; if so, it is true)

Answer: 62.8m^2

Step-by-step explanation:

Surface area of a cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]

r = 2m, h = 3m

[tex]2\pi (2)^{2} + 2\pi (2)(3)[/tex]

= 62.83185

Answer:

62.8m^2

Step-by-step explanation: 2\pi r^{2} + 2\pi rh

r = 2m, h = 3m

2\pi (2)^{2} + 2\pi (2)(3)

= 62.83185

Answer:

12 sides

Step-by-step explanation:

Answer:

Step-by-step explanation:

Interior angles is 150 degree

Exterior angles is 360 degree

Answer:

True

Step-by-step explanation:

Congruent means that two (or more) side lengths for line segments have "the same measurements.

~

d the answer can not be found using the information given

The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

Given that,

14 curtains required  [tex]30\frac{1}{3} [/tex]  yards of fabric.

1 curtain required is,

                             [tex]=30\frac{1}{3} \div14\\ \\ =\frac{91}{3}*\frac{1}{14}\\ \\ =\frac{91}{42}=\frac{13}{6}=2\frac{1}{6} [/tex]

Hence, The length of each curtain is [tex]2\frac{1}{6} [/tex] yards of fabric.

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Answer:

The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73

Step-by-step explanation:

First problem:

It's asking for the distance he walks by walking around a rectangular box which is the perimeter.

Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.

Second problem:

Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90

-4x +45 + 7x + 24 = 90

3x + 69 = 90

3x = 21

x= 7.

Plug back x into both m<1 and m<2 to find the measure of the angles.

m<1 = -4(7) + 45 = 45-28 = 17

m<2 = 7(7) + 24 = 49 + 24 = 73

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Answer:

Step-by-step explanation:

Prime numbers are neat.

Here they are:

2,3,5,11,13,23,25,31,35,41,43,53,55,61,65,71,73,83,85,91,95

Best,

jrodt

Answer: x = 63

Step-by-step explanation:

since they are proportional to each other,

36/4 = 9

90/10 = 9

126/14 = 9

7*9 = 63

Answer:

x = 63

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{90}{10}[/tex] = [tex]\frac{x}{7}[/tex] ( cross- multiply )

10x = 630 ( divide both sides by 10 )

x = 63

Answer:

Second Option and Fourth Option

Step-by-step explanation:

[tex]cot ^ 2(\theta) cos(2\theta)[/tex]

We know that:

[tex]cot(\theta) = \frac{1}{tan(\theta)}[/tex]

Then:

[tex]cot^2(\theta)cos(2\theta) = cos(2\theta)\frac{1}{tan^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =\frac{cos(2\theta)}{tan^2(\theta)}[/tex]

Also:

For the sum of angles identity:

[tex]cos(2\theta) = cos(\theta + \theta)\\\\cos(\theta + \theta) = cos(\theta)cos(\theta) - sin(\theta)sin(\theta)\\\\cos(2\theta) = cos^2(\theta) - sin^2(\theta)\\\\cos(2\theta) = (1-sin^2(\theta)) - sin^2(\theta)\\\\cos(2\theta) = 1-2sin^2(\theta)[/tex]

Then:

[tex]cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)}{sin^2(\theta)}[1-2sin^2(\theta)]\\\\cot^2(\theta)cos(2\theta) = \frac{cos^2(\theta)[1-2sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2\frac{cos^2(\theta)[sin^2(\theta)]}{sin^2(\theta)}\\\\cot^2(\theta)cos(2\theta) =cot^2(\theta) - 2cos^2(\theta)[/tex]

your answer is 17 1/4 or 17.25 I think

Answer:

g(-1) = -0.571

g(1) = -7

Step-by-step explanation:

To easily solve this problem, we can use a graphing tool to plot both f(x) and g(x) and

f(x) = 2*(3.5)^x

g(x) = -2*(3.5)^x

g(-1) = -2*(3.5)^(-1) = -0.571

g(1) = -2*(3.5)^(1) = -7

Answer:

The number of passenger cars is [tex]675[/tex]

The number of trucks is [tex]525[/tex]

Step-by-step explanation:

Let

x-----> the number of passenger cars

y-----> the number of trucks

we know that

[tex]x=y+150[/tex] ----> equation A

[tex]\frac{x}{y}=\frac{9}{7}[/tex]

[tex]x=\frac{9}{7}y[/tex] -----> equation B

equate equation A and equation B

[tex]\frac{9}{7}y=y+150[/tex]

[tex]\frac{9}{7}y-y=150[/tex]

[tex]\frac{2}{7}y=150[/tex]

[tex]y=525[/tex]

Find the value of x

[tex]x=525+150=675[/tex]

Answer:

Associative property of addition

ur welcome "my dude"  :o)

Answer:

The associative property of addition.

Step-by-step explanation:

The associative property basically says that it doesn't matter if you add y to 3 + m or you add m + y to 3; you'll come out with the same answer in both cases. Put another way, it tells us we can group terms however we want, and it won't effect the outcome. For another example, (3 + 5) + 4 = 3 + (5 + 4) -- it doesn't matter whether we start with 3 + 5 or 5 + 4. The associative property is why we're allowed to write addition without parenthesis.

Answer:   15%

Step-by-step explanation:

[tex]\%\ change=\dfrac{New-Original}{Original}\times 100\\\\\\.\qquad \qquad=\dfrac{207-180}{180}\times 100\\\\\\.\qquad \qquad =\dfrac{27}{180}\times 100\\\\\\.\qquad \qquad =0.15\times 100\\\\\\.\qquad \qquad =\boxed{15\%}[/tex]

The answer would be 15%.

207-180=27

27/180=3/20

3/20x5 = 15/100

15/100=15%

Answer:

[tex]\large\boxed{215^o}[/tex]

Step-by-step explanation:

[tex]\text{Coterminal angle with}\ \alpha:\\\\\alpha+360^o\ and\ \alpha-360^o.\\\\\text{Firs\ step}\\\\-865^o:360^o=2\ and\ rest\ -145^o\\\\-865^o=-145^o\\\\\-145^o+360^o=215^o[/tex]

Answer:

its 280

Step-by-step explanation:

:D

Answer:

The area of the four curved surfaces is the area of one circle with a radius of 4 cm

Area = PI * radius^2

Area = PI * 4 ^ 2

Area = PI * 16 = 50.26548245744 sq cm

Area of entire square = 8 * 8 = 64 sq cm

Area of yellow region = 64 - 50.265 sq cm =

= 13.735 = 13.7 sq cm (rounded to nearest tenth)

Step-by-step explanation:

Answer:

Area of the yellow part = 13.76

Step-by-step explanation:

Remark

Basically you have 4 quarter circles (which will make up the area of 1 circle) which you then have to subtract from the area of the square. Use pi = 3.14 for the circle.

Area of the square

A = s^2

A = 8^2

A = 64

Area of the 4 quarter circles.

Area = 4* (1/4) * Pi * r^2

r = 4   (1/2 of the square's side)

Area = 4*(1/4) * pi * 4^2

Area = pi * 4^2

Area = 16 * pi

Area of the yellow part

Area of the yellow part = Area of the square - Area of the 4 quarter circles.

Area of the yellow part = 64 - 16*pi    This is a possible answer.

Area of the yellow part = 64 - 50.24

Area of the yellow part = 13.76    This is the answer I'd try first.

The total for liking and not liking painting is 51.

28 like painting, so to find the missing number subtract 28 from 51.

The missing number is 23

The missing number in the table is 23, option B is correct.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The given table is below

Like Dance                    28       ?            51

Do Not Like Dance       17         18         35

Total                               45        41         86

We have to find the number of people who like dance when 18 donot like dance and total is 41.

We calculate this by removing 18 from 41 which gives the missing number x

x=41-18

=23

Hence,  the missing number in the table is 23, option B is correct.

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