can u help... 8th grade math

The speed of the raft if the speed of the patrol-boat was 12 km/hour, and it caught the raft in 5 hours 20 min later is 2.857 km/hours.

What is the speed of a body?

The speed of a body is the rate at which it covers the total distance is in the time taken. The speed of the body is given as,

[tex]S=\frac{D}{T}[/tex]

Here, (d) is the distance travelled by the body, and (t) is time taken by the body to cover that distance.

A raft was sent away from point A downstream. A patrol-boat left A 5 hour and 20 min later and caught up with the raft 20 km away from point A.

Total time the patrol boat took in hours is,

[tex]T = 5 + \frac{20}{60}[/tex]

T=5+0.3333

T=5.3333 hours

The speed of the patrol boat is 12 km/hour, and it caught up with the raft 20 km away from point A. Thus, the time taken with this speed to cover 20 km distance is,

[tex]T=\frac{20}{12}[/tex]

T=1.6667 Hours

Thus, the total time is,

T=5.3333+1.6667

T=7 Hours

Now as the raft travel 20 km in 7 hours. Therefore, find the speed of raft by putting the values in above formula as,

[tex]S=\frac{20}{7}[/tex]

S=2.857 kmph

Answer:

4x + 3 = 7x -6

x = 3

Q = 3

not sure...

Answer:

+2

Step-by-step explanation:

Answer:

40,560

Step-by-step explanation:

To find how much the farmer recives, we simply multiply:

62,400 * 65% = 40,560

When both Ali and his sister have eaten, the fraction of the pizza that is left will be 5/12.

From the complete information, Ali eats 1/3 and his sister eats 1/4 of the pizza. Therefore, the number eaten by Ali will be:

= 1/3 × 6 = 2

The number eaten by the sister will be:

= 1/4 × 6 = 1.5

The remaining fraction will be:

=1 - (2 + 1.5)/6

= 1 - (3.5/6)

= 2.5/6

= 5/12

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Answer:

1.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.5/2.5=15/25=0.6 no rounding necessary

Answer:

$1,537.14

I had this question once and this was the answrr

= 70% of the flowers are carnations

Probability tells you which outcome is more likely to occur in any given event. You could determine the probability of the particular outcome by dividing the number of times that the outcome has occurred by the total no of events.

we are given that,

6/10 = 3/5 of the flowers are pink, do

we know .2/5 of the flowers are red .

Since 1/3 of the pink flowers are roses, 2/3 of

the pink flowers are on Carnations .

we are given that 2/4 of the red

flowers are carnations .

The number carnations are

[tex]\frac{3}{5} * \frac{2}{3} + \frac{2}{5} * \frac{3}{4}[/tex]

[tex]=\frac{2}{5} +\frac{3}{10}[/tex]

[tex]= \frac{4 + 3}{10}[/tex]

[tex]=\frac{7}{10}[/tex]

covert into percent

[tex]=\frac{7}{10} 100[/tex]

= 70%

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Answer:

4.10

Step-by-step explanation:

1.08 * 3.8 = 4.104

but money is 2dp so...

4.10

it's simple addition

:- 2118910 +6221801

:- 8340711

Hope it help ~

#MsHacker...

Answer:

8340711

Step-by-step explanation:

Answer:

238

Step-by-step explanation:

Given equation:  [tex]a^2+1=6a[/tex]

Rearrange so that it is equal to zero:

[tex]\implies a^2-6a+1=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Using the quadratic formula to solve the given equation:

[tex]\implies a=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(1)(1)} }{2(1)}[/tex]

[tex]\implies a=\dfrac{6 \pm \sqrt{32}}{2}[/tex]

[tex]\implies a=3 \pm 2\sqrt{2}[/tex]

[tex]\implies a^2=17 \pm 12\sqrt{2}[/tex]

Substituting this into [tex]7\left(a^2+\dfrac{1}{a^2}\right)[/tex]

[tex]\implies 7\left(17 \pm 12\sqrt{2}+\dfrac{1}{17 \pm 12\sqrt{2}}\right)[/tex]

For [tex]17+12\sqrt{2}[/tex]:

[tex]\implies 7\left(17+12\sqrt{2}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2}{17+12\sqrt{2}}+\dfrac{1}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{(17+12\sqrt{2})^2+1}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{289+408\sqrt{2}+288+1}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{578+408\sqrt{2}}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{34(17+12\sqrt{2})}{17+12\sqrt{2}}\right)[/tex]

[tex]\implies 7(34)[/tex]

[tex]\implies 238[/tex]

For [tex]17-12\sqrt{2}[/tex]:

[tex]\implies 7\left(17-12\sqrt{2}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2}{17-12\sqrt{2}}+\dfrac{1}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{(17-12\sqrt{2})^2+1}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{289-408\sqrt{2}+288+1}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{578-408\sqrt{2}}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7\left(\dfrac{34(17-12\sqrt{2})}{17-12\sqrt{2}}\right)[/tex]

[tex]\implies 7(34)[/tex]

[tex]\implies 238[/tex]

Step 1: Change the Mixed Numbers into Improper Fractions

---To do so, multiply the number by the denominator and add that product to the numerator.

2 x 8 = 16 + 5 = 21

21 / 8

2 x 5 = 10 + 3 = 13

13 / 5

Step 2: Multiply the Improper Fractions

---When multiplying fractions, multiply straight across (numerator x numerator and denominator x denominator).

21 / 8 x 13 / 5 = (21 x 13) / (8 x 5) = 273 / 40

Step 3: Simplify

---Change the improper fraction back into a mixed number a simplify if necessary.

40 x 6 = 240

273 - 240 = 33

6 33/40

Answer: 6 33/40

Hope this helps!

Answer:

2,034,630,000

Step-by-step explanation:

2 is in the ten thousand place which means you look to the right which is a 7 which means to round up to get 2,034,630,000

Answer:

40m

Step-by-step explanation:

The total distance from Aurora to Clifton through Burlington is: 65 + 72 = 137

137 - 97 = 40

So it is 40 m  closer to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington.

Check the picture below.

let's notice something, the equation of line B is in slope-intercept form, thus

[tex]y = 2x + \underset{\stackrel{\uparrow }{b}}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so using that grid scale, we can just get two points from the line A to get its equation, let's use those in the picture below

[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{0}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{0}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-6)}}}\implies \cfrac{0+6}{6+6}\implies \cfrac{1}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-6)}=\stackrel{m}{\cfrac{1}{2}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y+6=\cfrac{1}{2}(x+6)\implies y+6=\cfrac{1}{2}x+3\implies y=\cfrac{1}{2}x-3[/tex]

Answer:

I think the answer is b sorry if the answer is wrong

Answer:

Step-by-step explanation:

diameter/2 = radius

12/2 = radius

radius = 6

The outer edge means you are measuring the circumference of the pizza.

Circumference = 2(pi)(radius)

Circumference = 2(pi)(6)

You are only finding 1/8 of the circumference

Therefore you are multiplying the circumference by 1/8

Length of 1 slice = (1/8)((2)(pi)(6)) = (12/8)(pi) = (3/2)(pi) = (3(pi)) / (2) or 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/360°) 2πr

A circle is drawn to represent a pizza with a 12-inch diameter. The circle is cut into eight congruent pieces. Then the central angle of each sector will be given as,

θ = 360° / 8

θ = 45°

And the radius is given as,

r = 12/2

r = 6 inches

Then the length of the outer edge of any one piece of this circle will be

Arc = (θ/360°) 2πr

Arc = (45/360°) 2π x 6

Arc = 1/4 x 3.14 x 6

Arc = 4.71 inches

The length of the outer edge of any one piece of this circle will be 4.71 inches.

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Answer:

A

Step-by-step explanation:

A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps

Hope this helps!

Answer:

there are three variable terms

Midpoint  is the middle segment of a given line. Since md = cm = 2 hence the point m is the midpoint of cd

A line is a distance between two points. Given the line cd with "m" as the  midpoint, the distance between cm and md will be equal that is:

md = cm

Given the following parameters

md = 6x - 22
cm = 3x - 10

Equate both expressions

6x - 22 = 3x - 10
6x - 3x = -10 + 22
3x = 12

x = 4

subtitute

cm = 3x - 10
cm = 3(4) - 10
cm =

Similarly:

md = 6x -22

md = 6(4) --22
md =

Since md = cm = 2 hence the point m is the midpoint of cd

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Answer:

The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A binomial distribution has the value of x representing the number of successes in n​ trials, while a geometric distribution has the value of x representing the first trial that results in a success.

Answer:

0*1=0 7*1 basically anything multiplied by 0 or 1 will not be greater than both factors

Step-by-step explanation:

Based on how I do not know the options I am going to say what I believe you might have as options for example, anything multiplied by 0 is less than and anything multiplied by 1 is not greater it is equal to.

The expression indicated that the values of a will be between 4.01 and 4.99 and b will be between 2.01 and 3.99.

From the first expression, 4 < a < 5. This means that 4 is less than a and a is less than 5. This means the values of a will be between 4.01 and 4.99.

Also, 2 < b < 4. This means that 2 is less than b and b is less than 4. Therefore, the values of b will be between 2.01 and 3.99.

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Answer:

The answer to a is 4.5, and the answer to b is 3.

Step-by-step explanation:

The averages are found as shown:

4+5=9

9/2=4.5

2+4=6

6/2=3

To find averages, first add all of the certain amount of numbers shown, then divide it all by the same amount of numbers there are.

Example:

5+7+9=21

21/3=7

Answer:

36*(5)^0.5

Step-by-step explanation:

distance on horizontal  36 feet

distance on vertical 78 feet

so distance between them = (36^2+78^2)^0.5 = 36*(5)^0.5

The two people are 66 feet apart from each other.

The 1st person travels 24 feet west, 18 feet south and 18 feet down.

The location of 1st person is (-24, -18, -18) , the negative sign is to convert all in same direction.

The 2nd person travels 12 feet east, 24 feet north and 12 feet up.

The location of 2nd person is (12, 24, 18)

The distance between  (-24, -18, -18) & (12, 24, 18 = [tex]\sqrt{(-24-12)^{2}+(-18-24)^{2}+(-18-18)^{2} }[/tex] feet

= [tex]\sqrt{(-36)^{2}+(-42)^{2}+(-36)^{2} }[/tex]) feet

= 66 feet

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In order to find the value of x, we should add 6 to both sides:-

-6+x=-4

x=-4+6

x=2

Hence, the value of x is 2.

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the chances are most likely going to be 50/50

Step-by-step explanation:

50

50

Answer: 1/5

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]

Arc length