Jordan ran 15LaTeX: \frac{3}{8}3 8 miles, while Ethan ran 12 LaTeX: \frac{1}{6}1 6 miles. How many miles did the boys run altogether?

Answer:

4000m

Step-by-step explanation:

km to m --> multiply by 1000

4km * 1000 = 4000m

Answer:

The terms of the sequence are x=5 and a=2:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]  →  [tex] 5 + (5 + 2) + (5 +2*2) = 21 [/tex]

[tex] x*(x + a)*(x + 2a) = 315 [/tex]  →  [tex] 5*(5 + 2)*(5 + 2*2) = 315 [/tex]

Step-by-step explanation:

We can find the terms of the following sequence:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]

[tex] 3x + 3a = 21 [/tex]      

[tex] x + a = 7 [/tex]      (1)

The product of that sequence is:

[tex] x*(x + a)*(x + 2a) = 315 [/tex]    (2)

Solving equation (1) for x:

[tex] x = 7 - a [/tex]  (3)

And by entering (3) into (2):

[tex] (7 - a)*(7 - a + a)*(7 - a + 2a) = 315 [/tex]  

[tex] 7*(7^{2} - a^{2}) = 315 [/tex]  

[tex] 343 - 7a^{2} = 315 [/tex]    

[tex] a = 2 [/tex]  

Now, by entering "a" into equation (3):

[tex] x = 7 - 2 = 5 [/tex]  

Therefore, the terms of the sequence are x=5 and a=2.

I hope it helps you!

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Answer: yes

Step-by-step explanation:

Answer:

72-12-12-12-12-12-12

Step-by-step explanation:

Since 12*6=72 is just 12 +12 6 times/ division is just the opposite

Answer:

If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3

btw I love ur connie pfp- :3

Step-by-step explanation:

:3

Answer:

6 vans

Step-by-step explanation:

If 1 van can seal 18 students...

116 ÷ 18 = 6.4

Since it's not a whole number, we will estimate it to the nearest whole number which is 6.

Answer: you need seven vans

Answer:

This is an example of positive nonlinear association

Step-by-step explanation:

So we know for a fact that the relationship between the the variables in the scatter plot is positive because its going up

The relationship is non linear because it has a curve

The given scatterplot is option C. Positive Linear Association.

Here, we have,

we know that,

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot.

A scatterplot is positive if an increase or decrease in one of the quantity results in the corresponding increase or decrease in the other quantity.

If it is opposite, then the relation is negative.

Here, when the x value increases, y value is also increasing.

So the relationship is positive.

A scatterplot show a linear relationship, if the values are closely resembling in a line.

Here the points are closely resembling on a line.

So it is linear.

Hence the relationship is positive linear relationship.

To learn more about Scatterplots, click :

brainly.com/question/25280625

#SPJ7

Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]

Step-by-step explanation:

Here we need to use the property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

We have the expression:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]

We can separate it in parts with the same base, then we can rewrite this as:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]

Using the first property we can rewrite this as:

[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]

Answer:

x = 5

Step-by-step explanation:

f(x) = x^3 – 5x^2 + 2x – 10

p/q, q must divide a_n=1 and p must divide a_0= -10

only 1 divide 1, q=1

1, 2, 5, 10 divide -10

possible rational roots:

1, 2, 5, 10

f(1) = -12

f(2) = -18

f(5) = 0

f(10) = 510

zeros: x = 5

Answer:

22

50

Step-by-step explanation:

24*36*90=77760 inches, but put into feet that would be 6480 ft cubed.

Answer: 52 minutes

Change denomniators by multiplying by 5 and 3

1/5 x 3 = 3/15

2/3 x 5 = 10/15

Add

3/15 + 10/15 = 13/15

Multiply by 4 to get minutes

13/15 x 4 = 52/60

Answer:

52 minutes

Step-by-step explanation:

Chemistry hw: 1/5 x 60 min＝12 min

Math assignment: 2/3 x 60 min ＝ 40 min

Total time: 12 min + 40 min ＝ 52 min

Answer:

top right one

Step-by-step explanation:

Answer:

roughly 10.72

Step-by-step explanation:

Use Phyth. Thm.

16^2 + x^2 = 25^2

x^2 = 369

= 19.20937271 (this is now the height for the second triangle)

x^2 + 19.20937271^2 = 22^2

115.0000001 = x^2

x =  roughly 10.72

Answer:

23

Step-by-step explanation:

Answer:

I'm pretty sure its 23.

Step-by-step explanation:

I subtracted 38 from 15 and got 23. Then I replaced 23 for x.

Answer:

30° =  m∠GFH

Step-by-step explanation:

Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.

Let x = m∠GFH

2x = m∠EFH

m∠GFH + m∠EFH = 90

x + 2x = 90

3x = 90

x = 30° =  m∠GFH

Answer: 30

Step-by-step explanation: qu i z i zz

Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

Answer: 80 of jimmys baseball cards are Braves Baseball Players

Step-by-step explanation:

2/9 of 360 is 80

I did 2/9 x 80

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

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

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

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

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

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

Divide both sides by -1

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

Take arccos of both sides

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

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

Read more at:

https://brainly.com/question/11907132

Answer:

40%

Step-by-step explanation:

10/25 = 0.4

0.4 into a percentage is 40%

Answer:

40%

Step-by-step explanation:

25/10 = 2/5 = .4 or 40%

Answer:

[see below]

Step-by-step explanation:

Randy first won 12 points on Monday. He earned as twice as many on Tuesday.

12 * 2 = 24

Randy scored 24 points Tuesday.  

Randy earned 3 more points than Tuesday's points the next day.

24 + 3 = 27

Randy earned 27 points Wednesday.

12 + 24 + 27 = 63

Randy should earn a total of 63 points for the 3 days.

Hope this helps.

Answer:

18 ft

Step-by-step explanation:

18 is the only answer bigger than 9 and its obviously bigger than 9

The length of the segment AC of the triangle is AC = 18 feet

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔMBN

Now , the measure of side AM = MB

And , the measure of side CN = BN

So , the triangles are similar and corresponding sides of similar triangles are in the same ratio

Therefore , AB / MB = AC / MN

On simplifying , we get

8 / 4 = AC / 9

Multiply by 9 on both sides , we get

AC = 2 x 9

AC = 18 feet

Hence , the length of AC = 18 feet

To learn more about similar triangles click :

https://brainly.com/question/29378183

#SPJ7

Answer:

8/ (2/3)= 12

It will take Luisa 12 days to finish the book.

Answer:

30-15,40-80,14-28

Step-by-step explanation:

6/3 =2 so multiply all by two but the last you divide by 2

Answer:

Step-by-step explanation:

Answer: Hi there the answer is:

B.) 6.3

Step-by-step explanation:

Answer:

y = -2x² + 8x + 10

Step-by-step explanation:

let's adjust the coordinates of vertex to a whole number: (2 , 17.75) to (2 , 18)

Quadratic equation: y = ax² + bx  c    or    y = a(x-h)² + K  (h,k) is the vertex

y = a (x-2)² + 18

a = (y-18) / (x-2)² = (16-18) / (1-2)² = -2    : calculate use point (1 , 16)

y = -2 (x-2)² + 18

y = -2x² +8x + 10