Abdul's average speed is 20 mph in heavy traffic, and his average speed is 50 mph in light traffic. If he was in heavy traffic for 1 hour and light traffic for 3 hours, how far did Abdul travel?

Answer:

[tex]16\ \text{miles}[/tex]

Step-by-step explanation:

In a parallelogram the diagnols bisect each other. So,

[tex]DE=EB\\\Rightarrow y+2=3y-4\\\Rightarrow 4+2=3y-y\\\Rightarrow 6=2y\\\Rightarrow y=\dfrac{6}{2}\\\Rightarrow y=3[/tex]

[tex]DE=y+2\\\Rightarrow DE=3+2\\\Rightarrow DE=5[/tex]

[tex]BD=2DE\\\Rightarrow BD=2\times 5\\\Rightarrow BD=10[/tex]

[tex]EC=2y-3\\\Rightarrow EC=2\times 3-3\\\Rightarrow EC=3[/tex]

[tex]AC=2EC\\\Rightarrow AC=2\times 3\\\Rightarrow AC=6[/tex]

The sum of the diagonals is [tex]BD+AC=10+6=16\ \text{miles}[/tex]

The sum of the lengths of the two trails is [tex]16\ \text{miles}[/tex].

Answer:

16  Miles

Step-by-step explanation:

Just took the quiz and got it right

Answer:

1190

Step-by-step explanation:

We have the ratio: 8:340 which means that 340 copies are printed in 8 minutes

We want to find out how many color copies are printed in 1 minute so we divide by 8

so our new ratio is now 1:42.5

We now multiply this ratio by 28 to find out how many are printed in 28 minutes

28:1190

our answer is 1190 copies

Answer:

The area would be 80

Step-by-step explanation:

Firstly we need the scale factor

At 2 to 5, the scale factor is 5/2 = 1 to 2.5

Mathematically, we have the area of a triangle as:

1/2 * b * h

So, if the other side is x ;

we have that :

1/2 * x * 2 = 8

2x = 16

x = 8

The bigger other side will be;

2.5 * 8 = 20

So the area of the second will be;

1/2 * 20 * 8 = 80

Answer:

50

Step-by-step explanation:

18.5% of 282 is 52.17

Answer:

solution.

Step-by-step explanation:

data given

1, total file in size is 282mb

2,the size downloaded is 18.5

asked to find how many megabytes have been downloaded

=18.5÷100×282

=52.17

there fore the downloaded megabytes is 52.17mb

Answer:

y=1+1/3x

Step-by-step explanation:

Answer:

how we go answer it

Step-by-step explanation:

Answer:

D. x>-3

Step-by-step explanation:

Since the dot on -3 is not shaded in we know it is not ≤ or ≥ so option A and C are eliminated.

Remember if the arrow is pointing to the left (<-----) Then it is Less-than which is <.

If the arrow is pointing to the right (----->) Then it is Greater-than which is >.

Since the arrow is pointing right the answer will be x>-3 which is D

Answer:

hola yo me llamo jimena

Step-by-step explanation:

ok yo pues no de que hablas me podrías

Answer:

$75

Step-by-step explanation:

Cost = $500

Sam has to pay a 15% tax

To compute his tax, we use the step outlined bellow

tax= 15/100*500

tax= 0.15*500

tax=$75

Hence his tax is $75

Answer:

$90.98

Step-by-step explanation:

Answer:

0.083

163.20

Step-by-step explanation:

Answer:

A,   x(x-4)

Step-by-step explanation:

None of them will give you the vertex you want but the x intercepts are only correct for A

Answer:

Its The Bottom Right one I think D

Step-by-step explanation:

Answer:

B

Step-by-step explanation: The answer is B because the dilation is showing that the triangle is getting bigger therefore the answer is going to be 1 or more

====================================================

Work Shown:

[tex]\log_8(3) = a\\\\\log_8(5) = b\\\\\log_8(45) = \log_8(3*3*5)\\\\\log_8(45) = \log_8(3)+\log_8(3)+\log_8(5)\\\\\log_8(45) = a+a+b\\\\\log_8(45) = 2a+b\\\\[/tex]

The log rule used was log(x*y) = log(x)+log(y).

Answer:

6.06 km

Step-by-step explanation:

The information given in the question can be represented by the three sides if a right angled triangle.

Let the direct line from the airplane to the start of the runway be represented by x. So that applying the appropriate trigonometric function, we have;

Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos [tex]8^{o}[/tex]  = [tex]\frac{6}{x}[/tex]

0.9903 = [tex]\frac{6}{x}[/tex]

⇒ x = [tex]\frac{6}{0.9903}[/tex]

      = 6.0588

x = 6.06 km

The direct line from the airplane to the stat of the runway is 6.06 km.

Answer:

120

Step-by-step explanation:

Answer:

d. 50%

Step-by-step explanation:

Answer:

7.28011

Step-by-step explanation:

a² + b² = c²

7² = 49

2² = 4

49 + 4 = 53

√53 = 7.28011

Answer:

Step-by-step explanation:

2^2+b^2=7^2

4+b^2=49

b^2=45

b= 6.708

Answer:

The average rate of change is -75

Step-by-step explanation:

The Average Rate of Change (ARC)

It's a measure of how much the function changed per unit, over a given interval.

Given a function F(x) and an interval between x=a and x=b, the average rate of change is:

[tex]\displaystyle A=\frac{F(b)-F(a)}{b-a}[/tex]

The function is:

[tex]F(x)=-x^3+24x^2-179x+495[/tex]

and it's required to find the ARC between x=2 and x=5.

Calculate F(2) and F(5):

[tex]F(2)=-2^3+24*2^2-179*2+495=225[/tex]

[tex]F(5)=-5^3+24*5^2-179*5+495=75[/tex]

The ARC is:

[tex]\displaystyle A=\frac{75-225}{5-3}=\frac{-150}{2}=-75[/tex]

The average rate of change is -75

Answer:

4

Step-by-step explanation:

Given the triangle AEC - trianhle BED the 4th equation, ED/EC = AC/BD is true.

Answer:

Show an attachment so we can see what you mean.

Step-by-step explanation:

Answer:

x = 256

Step-by-step explanation:

Remark

Interesting question. Thanks for posting.

The small triangle has the height as the missing side.

Part One: Givens

a = 144

b = height = ?

c = 240

a^2 + b^2 = c^2

144^2 + b^2 = 240^2

20736 + b^2 = 57600                   Subtract 20736 from both sides

b^2 = 57600 - 20736

b^2 = 36864

√b^2 = √36864

b = 192

Solve for x

The relationship between the height (b) and 144 and x is

b^2 = 144 * x

36864 = 144x          Divide by 144

x = 256

Answer:

1. (-4 , 3) : substitute way .

2. (10 , -1) : elimination way.

3. (26/7 , -26/7 ) : elimination way.

4. ( 1 , 1) : elimination way.

Step-by-step explanation:

Answer:

a= 4

b= -1

c= 10

Step-by-step explanation:

First we start by multiplying both sides of 1/2c = 5 by 2.

c = 10

Add b to both sides of the last equation to make it a=b+5

knowing these two things, we can plug them into the first equation like this:

2(b+5) + b + 10 = 17

then you solve for b:

distribute the 2

2b + 10 + b + 10 = 17

combine like terms

3b + 20 = 17

subtract 20 from each side

3b = -3

divide by 3

b = -1

then you can plug that into the last equation again so a - (-1) =5

Subtracting a negative is the same as adding so its a + 1 = 5 or a = 4

Answer:

c² = 34

Explanation:

Pythagorean Theorem: a² + b² = c²

3² + 5² = c²

3² = 9

5² = 25

9 + 25 = 34

34 = c²

- PNW

______________________________

 - When finding c, it doesn't matter what you put for a or b. So if you want to make a = 5, and b = 3, it wouldn't make any difference.

______________________________

Answer:

its y*x+z

Step-by-step explanation:

4*4