two people begin traveling at the same time from opposite ends of a 20 mile trail. one person travels 3 miles per hour faster than the other. if they meet after 2 hours, what are the rates of the 2 people

u = 4

Since its looking for the area you would do length times width. What times 2 would equal to 8? 4.

4 * 2 = 8 which concludes its area

Answer:

The correct answer would be 7. Explaination below

Step-by-step explanation:

8 + 7 = 15

15 + 3 = 18

18 - 11 = 7

The person is 17 miles from the starting point.

To find the distance from the starting point, we can use the Pythagorean theorem. The person traveled 8 miles north and 7 miles north, which gives us a total north component of 8 + 7 = 15 miles. The person also traveled 3 miles west and 11 miles east, which gives us a total east component of 11 - 3 = 8 miles. Using the Pythagorean theorem, the distance from the starting point is √(15^2 + 8^2) = √(225 + 64) = √289 = 17 miles.

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So to solve for an inequality, you must isolate the variable, in this case x, to one side.

Starting with 3.5x - 10 > -3, firstly add both sides by 10:

3.5x > 7

Next, divide both sides by 3.5 and your first half is:

x > 2

Next with 8x - 9 < 39, firstly add both sides by 9:

8x < 48

Next, divide both sides by 8 and your second half is:

x < 6

Putting it together, your final answer is x > 2 and x < 6 or 2 < x < 6.

Starting with the 120° angle, relative to that, we have

... I is vertical so equal, 120°

... J, K are linear angles, so supplementary, 60°

... Q is same-side internal, so supplementary, 60°

... P is alternate internal, so equal, 120°.

Starting with the 40° angle, relative to that, we have

... M is vertical, so equal, 40°

... N, O are linear angles, so supplementary, 140°

... G is corresponding, so equal, 40°

... E is alternate external, so equal, 40°

... F is same-side external, so supplementary, 140°

H is an external angle to the triangle LMQ. Angles M and Q are opposite internal angles, so H is their sum, 40° +60° = 100°. (H is also opposite internal angles G and K, which have the same sum.)

L is a linear angle with H, so supplementary, 80°.

In summary,

... E 40°, F 140°, G 40°, H 100°, I 120°, J 60°, K 60°, L 80°, M 40°, N 140°, O 140°, P 120°, Q 60°

The answer is the distributive property

The answer: 0.8 pounds each day

Answer:

$960

Step-by-step explanation:

If you're talking about #3. What you do is divide 1/5 so get .2 which is 20% then you multiply .2*1200 which is 240. That is what gets take off with the discount so subtract that from 1200 and get $960.

Answer:

Let Kirsten and Ryan start their work on 1 st of July.

Kirsten working days are 1,4,7,10,13,16,19,22,25,28,31,...

Ryan working days are 1,5,9,13,17,21,25,........

Now suppose 1 st of July is Monday,so coming Saturday will be on 6,13,19,25,31,....

Yes, Kirsten and Ryan will work on same day again i.e on 13, 25 in the month of July.

Yes ,they have to do the two jobs on one day also i.e on day which Saturday falls i.e on 13, and 25 of july.

9miles/hour    no expressions to chooses from

9 miles/hour. This shows that a squirrel's pace is 9 miles per hour. There is no expression to determine it. It is already in miles per hour form as stated in the question.

The rule to use: when dividing fractions, invert and multiply.

-6 ÷ -(3/4) equals -6 * -(4/3) which equals 24 / 3 which equals

8

Multiply 14/20 by 5 to make the denominator 100.  14/20 x 5 = 70/100. So, 14/20 as a percentage is 70%.

It would be 56 degrees since it's a vertical angle and to get the obtuse angles you just subtract 180 from 56 and there's your answer. Hope this helped! (':

i think the answer if 56 degrees

Here is the solution...

[tex]6i\sqrt{-44}[/tex]

Step 1:

We need rewrite the square root -44 as [tex]i\sqrt{44}[/tex].

The reason is [tex]\sqrt{-1} = i[/tex]

Step 2:

Now the expression became [tex]-6i.i\sqrt{44}[/tex]

[tex]-6i^{2}\sqrt{4*11}[/tex]

Step 3:

[tex]i^{2} = -1 and\sqrt{4*11} = 2\sqrt{11} \\[/tex]

Now substitute the above values in the step 2, we get

[tex]-6(-1)2\sqrt{11}[/tex]

Step 4:

We have to simplify it.

12[tex]\sqrt{11}[/tex]

Therefore, the answer is 1[tex]12\sqrt{11}[/tex]

Answer:

3/20

Step-by-step explanation:

First we need to find a common denominator, and since 4*5=20 then 20 is he common denominator.

convert the fractions to twentieths so

3/5*4/4

12/20

1/4*5/5

5/20

now add 12/20+5/20

17/20

that is how many students are doing sports

so subtract 20-17

you get 3/20 students play basketball since you can't simplify that

35/5= 7

so,

4*7 = 28                          1*7= 7

The answer is  28:7

To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:

Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.

Answer:

The cooling tower is 68 meters wide at its highest point, which is 160 m above the ground.

Please, see the attached files.

Thanks.

Using linear interpolation, we calculated the width of the hyperbolic cooling tower 160 meters above the ground to be 4 meters.

The problem presented is related to linear interpolation, which is a method used to find a value between two points on a line. In this problem, we have a hyperbolic cooling tower, which is smaller at its most narrow section than at its base. At the base it is 100 meters wide while 100 meters above the ground it is 40 meters wide. Assuming linear change in the width with respect to height, we can compute the width at the highest point of the tower, which is 160 meters from the ground. The decrease in width per meter as the tower height increases is (100 - 40) / 100 = 0.6 meters/meter.

To determine the width of the tower 160 meters above the ground, we calculate 100 (width at base) - (0.6 * 160) = 100 - 96 = 4 meters. Thus, the tower would be 4 meters wide at the height of 160 meters above ground.

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answer:  [tex]300[/tex]

work:

[tex]60[/tex]

[tex]5[/tex]

_________

[tex]300[/tex]

hope this helps! ❤ from peachimin

Answer:300

Step-by-step explanation:5 times 0 is 0 6 times 5 is 30 then you get 300

Answer:

Total change that will likely occur in 2 years = -2.5 in.

Explanation:

 The water level at Lake Penny changed [tex]-1 \frac{1}{10}[/tex] in first year and [tex]-1 \frac{2}{5}[/tex] in in the second year. We need to find total change in the two years.

 We know that [tex]a\frac{b}{c}[/tex] can be written as [tex]\frac{ac+b}{c}[/tex]

So [tex]-1 \frac{1}{10}=-(\frac{1*10+1)}{10} )=\frac{-11}{10}[/tex]

    [tex]-1 \frac{2}{5}=-(\frac{1*5+2}{5})= \frac{-7}{5}[/tex]

 So total change in two years =  [tex]\frac{-11}{10}+\frac{-7}{5} =\frac{-11-2*7}{10} =\frac{-25}{10} =-2.5inch[/tex]

 Total change that will likely occur in 2 years = -2.5 in.

Answer:

its 2 1/2

Step-by-step explanation:

Divide both from top to bottom:

5/16 = 0.3125

10/11 = 0.9090..

-19/10000 = -0.0019

hope that helps :)

-75 divided by 3 equals -25

When you add 2 to -25 and subtract 2 from -25 they cancel out to be -25

so the answer is -23, -25, -27

The answer should be A

For this question, you can solve by using the Cross Multiplication method.

(Pounds = lb, Ounces = oz)

35oz/Xlb = 16oz/1lb

Solve for x. First cross multiply 35oz by 1lb to get 35oz/lb. Then divide by 16oz to cancel out oz and end up with 2.1875lb. Which rounds up to 2.19lb.

35oz * 1lb ÷ 16oz = 2.19lb

The Answer is A.) 2.19 pounds

Hoped This Helped!

[tex]\frac{735}{5} = 147[/tex]

Answer: Option C 31.68 km/h

Solution:

Speed=s=8.8 m/s

s=? kilometers per hour=? km/h

s=(8.8 m/ 1 s)*(1 km / 1,000 m)*(3,600 s / 1 h)

s=(8.8*1*3,600)/(1*1,000*1) km/h

s= 31,680/1,000 km/h

s=31.68 km/h

Answer:

C.=31.68 km/h

Step-by-step explanation:

Hello

I think  I can help you with this

Let

[tex]v=8.8 \frac{m}{s} \\v=x \frac{Km}{h}[/tex]

1 hour = 60 minutes = 3,600 seconds

Step 1

convert m ⇒  kilometers

using a rule of three

1 kilometer= 1,000 meters

x? kilometers=8.8 m

[tex]\frac{1 kilometer}{1000 m} =\frac{x\ kilometer}{8.8 m}[/tex]

isolating x

[tex]\\\frac{1 kilometer\ 8.8\ m}{1000 m} =x\ kilometer\\x=0.0088 Km[/tex]

Now the speed is

[tex]v=0.0088 \frac{Km}{s}[/tex]

Step 2

Convert sec ⇒ hours

1 hour =3600 sec

x hour=1 seg

[tex]\frac{1 hour}{3600\ sec} =\frac{x\ hour}{1 sec}\\\frac{1 hour\ 1\ sec}{3600\ sec} =x\ hour\\x=\frac{1}{3600} hours[/tex]

Step 3

find the speed in km/h

[tex](1)v=0.0088 \frac{km}{1s}\\(2)1s=\frac{1}{3600} hous\\[/tex]

replacing (2) in (1)

[tex]v=0.0088 \frac{km}{\frac{1}{3600} hour}\\v=0.0088*\frac{3600\ km }{hour} \\v=31.68 \frac{km}{h}[/tex]

V=31.68 km/h

Have a great day

x=-28 because the minus sign in front of the x will turn the -28 into positive 28 and 28+4 is 32

Your answer would be B.) x = -28

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

Answer:

The voltage across resistor is [tex]E_{R}=96V[/tex]

Step-by-step explanation:

We are given with Voltage across terminals of a series RL circuit, [tex]E_{T}=120V[/tex]

And Resistance R=40Ω

And inductor reactance [tex]X_{L}=30[/tex]Ω

Since Resistor and inductor are in series, same current flows through both.

And that current, I = [tex]\frac{E_{T}} {Z}[/tex]

                             [tex]=\frac{120}{\sqrt{40^{2}+30^{2}}}= \frac{120}{\sqrt{2500}}[/tex]

                            = [tex]\frac{120}{50}=2.4A[/tex]

Therefore voltage across resistor, [tex]E_{R}=IR=2.4X40=96V[/tex]

The voltage across the resistor in the RL circuit, given the total voltage, resistance, and inductive reactance, can be calculated using Ohm's Law and the principles of Kirchhoff's voltage law. The final calculated voltage is 96 volts.

In this RL circuit, we're given the total voltage (ET), the resistance (R), and the inductive reactance (XL). Here, we need to calculate the voltage across the resistor, or ER. In a series RL circuit, the sum of the voltages across the resistor and the inductor equal the total voltage, according to Kirchhoff's voltage law. This is written as:

ET = ER + EL

Where ET is the total circuit voltage, ER is the voltage across the resistor, and EL is the voltage across the inductor. The voltage across the resistor, ER, can be calculated using Ohm's Law (V=IR). The current can be calculated using the total voltage divided by the overall impedance (Z). Therefore, ER can be calculated using the equation ER = IR, where I = ET/Z, and Z is the square root of R^2 + XL^2. With the provided values, we calculate:

Z = sqrt(R^2 + XL^2) = sqrt(40^2 + 30^2) = 50 Ω

I = ET/Z = 120/50 = 2.4 A

Finally, calculate ER:

ER = IR = 2.4 * 40 = 96 volts.

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S2=2*S1+1

S3=3*S1-1

P=S1+S2+S3

42=S1+2*S1+1+3*S1-1

42=6*S1

S1=42/6

S1=7 ANS. FOR S1.

S2=2*7+1=14+1=15 ANS FOR S2.

S3=3*7-1=21-1=20 ANS. FOR S3.

PROOF:

42=7+15+20

42=42

Answer:

Step-by-step explanation:

The perimeter is the addition of all sides

x+y+z=40

where x=1st side, y=2nd side, z= 3rd side

2nd side exceeds twice the first side by 1 inch= y=2x+1

the third side is 2 inches less than the second side z=y-2=2x+1-2=2x-1

plugging in the perimeter equation

x+(2x+1)+(2x-1)=40

5x=40

x=8 inches (1st side)

y=2*8+1=17 inches (2nd side)

z=2*8-1=15 inches (3rd side)