Two small planes start from the same point and fly in opposite directions. The first plane is flying 25 mph slower than the second plane. In 2 hrs, the planes are 470 mi apart. Find the rate of each plane.

Answers

Answer 1

Answer:

105 mph = rate of first plane

130 mph = rate of second plane

Step-by-step explanation:

Let r = rate of first plane

then r + 25 = rate of second plane

2r = distance of first plane

2(r + 25) = distance of second plane

2r + 2(r + 25) = 470

2r + 2r + 50 = 470

4r = 420

r = 105 mph

r + 25 = 130 mph


Related Questions

How many degrees and in what direction was the figure rotated?

90 degrees counterclockwise

180 degrees

90 degrees clockwise

Answers

Answer: 90 degrees clockwise

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

Answers

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

i need help please it's due today

Answers

Answer:

Step-by-step explanation:

Please help me answer this. I’ll give a reward. To who every answers it correctly.

Answers

Answer:

66

Step-by-step explanation:

55+59 =114

180-114=66

NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

y = 8x + 86

Step-by-step explanation:

Answer:

choice 2) y = 8x + 86

Step-by-step explanation:

Which value for x makes the sentence true?
10x - 5 = - 55

A. - 50

B. - 6

C. - 10

D. - 5

Answers

Answer:

D) -5

Step-by-step explanation:

10x-5=-55

10x=-55+5

10x=-50

x=-50/10

x=-5

After their hike, Joe and Mike took a taxi back to the trailhead. The taxi cost $26 plus
$0.35 per mile. Which type of function could model the cost of the taxi ride?
A) Linear
B) Can't be determined
C) Exponential
D) Quadratic

Answers

Answer:

Linear

Step-by-step explanation:

[tex]y=.35x+26[/tex]

[tex]y=\frac{7}{20}x+26[/tex]          .35 = 7/20

The form [tex]y=mx+b[/tex] represents a linear equation. Our equation fits that form, with [tex]m=\frac{7}{20}, b=26[/tex].

Answer:

Linear

Step-by-step explanation:

I tried finding this one earlier and it didn’t work , so please help again !

Answers

Answer:

C. 62

Step-by-step explanation:

All angles in a triangle are equivalent to 180. First find angle C. Which is 64. then subtract that by 180, which is 116. after that we combine like terms then solve for X. Combine like terms: 5x-9=116 X=25 We plug X into angle's A equation. And you get 62. hope this helps :)

Hi please help me out I am one the edge of failing math class and might have to do summer school, but I don't want to talk about that, anyways please help me!

A company has three sales departments (local, regional, and national) at each of several locations across the United States. Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.



Which sample should the company use to arrive at the most reliable conclusion?

Group of answer choices

24 employees from one sales department at one location

24 employees from one sales department at each location

24 employees from each sales department at one location

24 employees from each sales department at each location

Answers

Step-by-step explanation:

24 employees from each sales department at each location

Answer: D. 24 employees from each sales department at each location

Step-by-step explanation: took the test I got it right

pls help me with this asap!!

Answers

Answer: 7 square root 2 AKA the bottom one

Step-by-step explanation:

Just answer the top answer please and thank you

Answers

Answer:

C. 75

Step-by-step explanation:

q is a degree 5 polynomial that passes through the origin, has zeros i and 3 - i, and q( - 2) = - 520. Find
the equation for g.
User for your input. Simplify your answer so that it has only real numbers as coefficients.

Answers

Keirekwkwmsndnsnwowooskssk

As a CFO of a company, you are asked by the company's board to make quarterly payments of $400 for 7 years to a computer firm for computer maintenance. How much money do you need to deposit into an interest bearing account paying 7.1% compounded quarterly so that you can make all the $400 payments over this 7 year period?

Answers

Answer:

the present value is $16,203.80

Step-by-step explanation:

The computation of the amount that need to deposit is given below:

Given that

PMT = $400

FV = $0

NPER = 7 × 7 = 49

RATE = 7.1% ÷ 4 = 0.7889%

The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

After applying the above formula, the amount that need to be deposit is $16,203.80

Hence, the present value is $16,203.80

What is 26% of 50?
plz help

Answers

Answer:

13

Step-by-step explanation:

50 multiplied by .26

The length of a bridge is 130m. The length of each of roberts paces is 70cm what is the minimum number of the full paces that it would take Robert to walk the full length of the bridge

Answers

well if he wants to enjoy the view maybe 30min or so

Find the upper quartile of the given data: ​ ​ 31 , 47 , 88 , 92 , 92

Answers

Answer:

92 is the answer

Step-by-step explanation:

Ethan has a piece of string that is 6 meters long. He cuts the string into 3 pieces of equal length. How many centimeters long is each piece of string?

Answers

9514 1404 393

Answer:

  200 cm

Step-by-step explanation:

1 meter is 100 cm, so 6 meters is 600 cm. Each piece is 1/3 of that, so is ...

  (600 cm)/3 = 200 cm . . . length of each piece

Can anybody help me on this question?

Answers

Answer:

60

Step-by-step explanation:

i did the math yeah

The answer is 60 . ........

Use slopes and y-intercepts to determine if the lines −4x+4y=−1 and 4x+4y=−1 are parallel.

Answers

Answer:

Nope they are not parallel.

Step-by-step explanation:

first find the slope of each equation.

-4x+4y= -1

4y= 4x -1

y= (4x-1)/4

y=x - 1/4

the other equation

4x +4y = -1

4y= -4x -1

y= (-4x-1)/4

y= -x -1/4

the slope is the number in front of the x so for the first equation, it is 1 and the second equation it is -1. Since they are not the same, they are not parallel but instead is perpendicular. TBH, just stop here as this is more than enough.

#1: Consider the list of golf scores: 71, 68, 72, 79, 80, 77, 84, 70, 92. What is
the mode of this data set? *
80
75
0
none

Answers

Answer:none

Step-by-step explanation:

A book has been discounted by 30%. It is on sale for $22.40. Find the original price.

Answers

ANSWER: $29.12 is the original price

EXPLANATION:
Do 22.40 • 0.30 to get 6.72
Then take 6.72 and add it to 22.40
This gives you the original price, $29.12


May someone pls explain how to do this?

Question: In the image below, the measure of angle 2 is 75°. Find the measures of angles 1, 3, 4, 5, 6, 7, and 8.

Answers

Answer:

1=105

3=105

4=75

5=105

6=75

7=105

8=75

Step-by-step explanation:

angles 1 and 2 are supplementary, this means that the sum of the two angles equals 180(they make a straight line).

This means that the cross of the two lines(p and m) will cause angles 1 and 3 to be the same (2 and 4 will also be the same).

lines m and n are parallel, which means that angles 1,2,3, and 4 will be that same as their corresponding angle in angles 5,6,7, and 8.

I hope that made sense.


help pls pls pls シ

And thanks!

Answers

Answer:

the answer the 10.25 u move both decimals over and move it up to the top and divide like normal

Consider the line y=7x+4.
Find the equation of the line that is parallel to this line and passes through the point ( -3, 5)
Find the equation of the line that is perpendicular to this line and passes through the point ( -3, 5)

Answers

Answer:

parallel y=7x+26

perpendicular y=1/7x+32/7

Step-by-step explanation:

parallel line have the same slope

y-5=7(x-(-3))

y-5=7(x+3)

y-5=7x+21

y=7x+21+5

y=7x+26

perpendicular slope  is the opposite of the original slope of 7

y-5=-1/7(x-(-3))

y-5=-1/7(x+3)

y-5=-1/7x-3/7

y=-1/7x-3/7+5

y=-1/7x+32/7

. Dinah bought 3 packages of ground beef. The packages weigh 3 3/4 pounds, 1 1/8 pounds, and 2 1/2 pounds. How many pounds of ground beef did Dinah buy

Answers

Answer:

[tex]7\frac{3}{8}[/tex] pounds

Step-by-step explanation:

First, convert the fractions into improper fractions, and make them have the same denominator.

First package: [tex]3\frac{3}{4} =\frac{15}{4}=\frac{30}{8}[/tex]

Second package: [tex]1\frac{1}{8} =\frac{9}{8}[/tex]

Third package: [tex]2\frac{1}{2}=\frac{5}{2}=\frac{20}{8}[/tex]

Notice that all the fractions have the same denominator, making it easy to add up. Now we add up the fractions.

[tex]\frac{30}{8}+\frac{9}{8}+\frac{20}{8}=\frac{59}{8} =7\frac{3}{8}[/tex]

How many half-cubes are needed to fill in the gap of the box shown? O 4 half-cubes O 8 half-cubes O 12 half-cubes O 16 half-cubes 2 units 4 units 23 units​

Answers

Answer:

8 half cubes

Step-by-step explanation:

8 half cubes

Answer:

b! 8 half-cubes!

Step-by-step explanation:

The probability of being a universal donor is 6% (O-negative-blood type). Suppose that 6 people come to a blood drive.
a) What are the mean and standard deviation of the number of universal donors among the 6 people?
b) What is the probability that there are exactly three universal donors?

Answers

Using the binomial distribution, it is found that:

a) The mean is of 0.36 and the standard deviation is of 0.58.

b) There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

What is the binomial distribution formula?

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

The values of the parameters are given as follows:

n = 6, p = 0.06.

Item a:

E(X) = np = 6 x 0.06 = 0.36.[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6 \times 0.06 \times 0.94} = 0.58[/tex]

The mean is of 0.36 and the standard deviation is of 0.58.

Item b:

The probability is P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{6,3}.(0.06)^{3}.(0.94)^{3} = 0.0036[/tex]

There is a 0.0036 = 0.36% probability that there are exactly three universal donors.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

Write an equation of the line below.

Answers

Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{4}{5} x[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m = \frac{y_2-y_1 }{x_2-x_1}[/tex] and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

[tex]m = \frac{4-0}{5-0} \\m = \frac{4}{5}[/tex]

So, the slope is [tex]\frac{4}{5}[/tex].

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the [tex]y = mx + b[/tex] format. The number in place of [tex]m[/tex] represents the slope, so substitute [tex]\frac{4}{5}[/tex] in its place. The number in place of [tex]b[/tex] represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

[tex]y =\frac{4}{5} x+0\\y = \frac{4}{5} x[/tex]

Answer:

y=4/5x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

In this problem, the slope is 4/5 because m=rise/run.

4(3√x-2)+1=9. what is the solution to this equation

Answers

x=16/9
hope this helped

Answer:

x=22/9

Step-by-step explanation:

4(3√(x-2))+1=9

4(3√(x-2))=8

3√(x-2)=2

√(x-2)=2/3

x-2=4/9

x=4/9+2

x=4/9+18/9

x=22/9

Therefore, the solution is x=22/9

You apply for a job and have to take a drug test. You are curious about the error rate for the test so you do some research. You find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative). The company that produces the drug test claims that less than 14% of the test results are wrong. Test if this seems accurate.

Answers

Answer:

Test statistic  Z = -1.0

 |Z| = |-1.0| < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

Step-by-step explanation:

Step(i):-

Given that the population proportion P = 14% =0.14

Given that the sample size 'n' = 382 tests

Given that find a study where 47 out of 382 test results using this test were wrong (either a false positive or a false negative).

Sample proportion

                        [tex]p = \frac{x}{n} = \frac{47}{382} = 0.1230[/tex]

Null hypothesis: H₀ : P = 0.14

Alternative Hypothesis:H₁ : P≠ 0.14

Step(ii):-

Test statistic

              [tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]

         [tex]Z = \frac{0.1230-0.14}{\sqrt{\frac{0.14 X0.86}{382} } }[/tex]

       Z = - 1.0

     |Z| = |-1.0| < 1.96 at 0.05 level of significance.

Final answer:-

The null hypothesis is accepted

The company that produces the drug test claims that less than 14% of the test results are wrong

               

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