A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.​

Answers

Answer 1

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)


Related Questions

HELP!!!!!

The net of a rectangular prism and its dimensions are
shown in the diagram.


What is the total surface area of the rectangular prism in
square inches?

Answers

Answer:

C. 245.5

Step-by-step explanation:

(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)

= 245.5

Answer:

its 245.5

Step-by-step explanation:

2X-5<9 solve inequality

Answers

Step-by-step explanation:

2x<9+5

2x<14

2x/2<14/2

x<7

Answer:

[tex]\boxed {\boxed {\sf x <7}}[/tex]

Step-by-step explanation:

To solve the inequality you must isolate the variable, which is x.

[tex]2x-5 < 9[/tex]

5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.

[tex]2x-5+5 < 9+5[/tex]

[tex]2x < 14[/tex]

x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.

[tex]\frac {2x}{2} < \frac {14}{2}[/tex]

[tex]x <7[/tex]

The solution to this inequality is x <7

Please help me with these math problems (3) . I really need help . Multiple choice don't comment random for points please

Answers

Answer:

Follow me please

Mark brainliest

Answer:

B

Step-by-step explanation:

Five percent of canned goods get bumps or dents in the cans during manufacturing. Let X = the number of cans that are inspected before one with a bump or dent is found.

What is the probability that more than 3 cans are inspected before one with a bump or dent is found?

Round to 4 decimal places.

Answers

Answer:

0.8574

Step-by-step explanation:

I got it correct1


What is the sum of
5/13
11/13
and
10/13​

Answers

Answer:

2

Step-by-step explanation:

5/13 + 11/13 + 10/13 = 26/13 = 2

Answer:

2

Step-by-step explanation:

5/13+11/13+10/13 is the same as

(5+11+10)/13

(16+10)/13

26/13

2

During week 1 of a recycling drive, the fifth grade class recycled 9
pounds of glass and 123 pounds of newspaper. During week 2, the
fifth grade class recycled 8 pounds of glass and 13 pounds of
newspaper. How many more pounds of newspaper than glass did
the class recycle?

Answers

Answer:

119 pounds

Step-by-step explanation:

Glass :

1) 9 pounds

2) 8 pounds

9 + 8 = 17 pounds

Newspaper

1) 123 pounds

2) 13 pounds

123 + 13 = 136 pounds

136 - 17 = 119 pounds

i will give braileast if it is correct

Answers

Answer:

4

Step-by-step explanation:

6* 2/3 = 12 /3 =4

The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685

Answers

The answer is B
Hope it helps.

____ft = 6 yd
Fill in the blanks _____ for this

Answers

Answer:

18 feet

Step-by-step explanation:

There is 3 feet in 1 yard. So, all you have to do is do 3 x 6 and get the answer of 18 feet = 6 yards.

Help please thank uuuu

Answers

Answer:

B. x = 7; AB = 9, AC = 12

Step-by-step explanation:

12/4 = (x + 2)/(x - 4) (similar triangles theorem)

3 = (x + 2)/(x - 4)

Cross multiply

3(x - 4) = (x + 2)

3x - 12 = x + 2

Collect like terms

3x - x = 12 + 2

2x = 14

x = 14/2

x = 7

✔️AB = x + 2 = 7 + 2

AB = 9

✔️AC = (x + 2) + (x - 4) = (7 + 2) + (7 - 4)

AC = 9 + 3

AC = 12

Write of the equation of a line that passes through (14,25)and(34,75)

:

1- in the point slope form,

2- in the slope -intercept form, and

3- in the standard form

Show all your steps.

Answers

Answer:

1. y-25=5/2(x-14)

2. [tex]y=\frac{5}{2}x-10[/tex]

3. 5x-2y=20

Step-by-step explanation:

first, find the slope, m.

slope = rise/run = (75-25)/(34-14)= 50/20 = 5/2

1. point slope form: y-25=5/2(x-14)

2. [tex]y=\frac{5}{2}x-10[/tex]

3. switch the y to the right side: (5/2)x-y-10=0 --> (5/2)x-y=10

5x-2y=20

If 12 + 6x is 20 more than 16, what is
the value of 12x?

Answers

Answer:

12x = 48

Step-by-step explanation:

Translating the word problem into an algebraic equation, we have;

12 + 6x = 16 + 20

12 + 6x = 36

6x = 36 - 12

6x = 24

x = 24/6

x = 4

To find 12x;

12x = 12 * 4 = 48

Which functions are nonlinear? Select TWO that apply.
A
y = -5
B
y
+1
х
0
1
2
y
-2
114
-6
-8
3
х
1
y
1
2
3
4.

Answers

Answer:

A,B

Step-by-step explanation:

I think bc I had the same question well something like this in A in B was it

A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief.

Required:
What is the correct test statistic for the hypothesis test?

Answers

Answer:

t= 64.2-63 / 2.9/ sqrt 40

Step-by-step explanation:

Got it right on AP Classroom

There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

What is the null hypothesis?

The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between  0.05 and 0.01, i.e. the confidence level is 95% or  between 95% and 99%, the results are considered  to be probably significant, i.e. the results  are probably correct,

Therefore, the alternative hypothesis is correct

To know more about the Null hypothesis follow

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Rodell wants to find the favorite gaming app among the students at his school. He decides to poll the thirty students on his football team and the fifteen students on his basketball team to gather the data. What is wrong with Rodell’s method for collecting his data?
Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.
Rodell needs a larger sample size than two sports teams to represent a whole school.
Rodell polled everyone on his teams; he should have only polled every other student for it to be a true sample.
Rodell’s polling method only included fall and winter sports; he should have also included a spring sport like baseball.

Answers

Using sampling concepts, it is found that the due to bias, the correct option is given by:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Why is Rodell's sample biased?

The school is composed both by athletes and non-athletes, which should have different gaming apps, for example, athletes may be more likely to play sports games while non-athletes may favor RPG for example.

He surveys only athletes, hence, the correct option is:

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

The correct answer is (A):

Rodell only polled fellow athletes; this sample does not represent nonathletes at the school.

Step-by-step explanation:

I did the quiz and got it right. Hope this helps you!!!!!

Please help me answer this

Answers

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

__

b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

__

c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

Bean seeds from supplier A have 85% germination rate and those from supplier B have 75% germination rate. A seed-packing company purchases 40% of its seed from A, 60% from B, and mix them together. Find the probability that a seed selected at random from the mixed will germinate.

Answers

Answer:

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Step-by-step explanation:

Probability of a seed germinating:

85% of 40%(from company A)

75% of 60%(from company B)

Then

[tex]P = 0.85*0.4 + 0.75*0.6 = 0.79[/tex]

0.79 = 79% probability that a seed selected at random from the mixed will germinate.

Pls answer correctly I’ll give you brainliest

Answers

Answer:

Step-by-step explanation:

y=mx+b

so inset the first point into the equation

-3 for x and 7 for y.

7=m(-3)+b

y=mx+b

1 for x and -1 for y

-1=m(1)+b

now put them together and solve for m and b.

-1=m+b

7=-3m+b

--------------------

-1-b=m

7=-3m+b

inset m into the equation

7=-3(-1-b)+b

7=3+3b+b

4=4b

b=1

--------------

insert b back in for -1=m+b

-1=m+1

m=-2

---------------------------------------

Now insert it back into y=mx+b

y=(-2)x+1

so this line contains those points that were given

Hope this helps :)

what is a correct name fo the angle shown. R S RTS SRT

Answers

The answer to this is SRT

can someone tell me how to do this I keep getting 3.14 over x​

Answers

Answer:

60.46%

Step-by-step explanation:

Question: On this dartboard, the circle with 1-m radius is inscribed in an equilateral triangle. Find the probability that a dart that hits the board lands in the circular region. Justify your answer.

Let's start by finding the length of one of the sides of the equilateral triangle. We can do this by creating a 30-60-90 triangle from the radius of the inscribed circle.

I attached an image of what this should look like.

Solving for the length of half of the base of the equilateral triangle gives us 1√3. To get the length of the entire base of the triangle, we will double this value:

s = 2√3

The area of an equilateral triangle is [tex]\displaystyle A=\frac{s^2 \sqrt{3} }{4}[/tex].

We can substitute the known value of s (side length) into the formula and solve for A.

[tex]\displaystyle A_t=\frac{(2\sqrt{3})^2\cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=\frac{4(3) \cdot \sqrt{3} }{4}[/tex] [tex]\displaystyle A_t=3\sqrt{3}[/tex]

The area of the equilateral triangle is 3√3.

Now, let's solve for the area of the inscribed circle. The formula for the area of a circle is [tex]\displaystyle A= \pi r^2[/tex].

We know the radius of the circle is 1, so let's substitute 1 for r:

[tex]A_c= \pi (1)^2[/tex] [tex]A_c=\pi[/tex]  

The area of the inscribed circle is π.

To find the probability of the dart hitting a specific area on the dartboard, we will divide the desired area by the total area of the dartboard.

[tex]\displaystyle P=\frac{\text{Desired area}}{\text{Total area}}[/tex] [tex]\displaystyle P=\frac{\pi}{3\sqrt{3} }[/tex] [tex]\displaystyle P=\frac{\pi \sqrt{3} }{9}[/tex] [tex]P \approx 0.60459978[/tex]

The probability that a dart that hits the board lands in the circular region is about 60.46%.

Which postulate proves the two
triangles are congruent?

Answers

Answer:

AAS

Step-by-step explanation:

because here it is given that two angle are

equal

and a side is common between both traingle

so, both traingle are congruent by

AAS

hope it helps

Express as a difference: a+5

Answers

Ax5 a➗5 and a-5

................

The expression expressed as a difference is (a - 2) - (-7).

We have,

We can express a + 5 as a difference by subtracting a suitable term from it.

One way to do this is to subtract 2 and add 2, like this:

a + 5 = a + 5 - 2 + 2   (adding and subtracting 2)

     = (a - 2) + 7     (rearranging)

Now,

We can express a + 5 as the difference between a - 2 and -7, like this:

a + 5 = (a - 2) - (-7)

Thus,

The expression expressed as a difference is (a - 2) - (-7).

Learn more about expressions here:

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100 POINTS FOR 4 QUESTIONS ITS EASY GUYS FOUR PICTURES ATTATCHED

Answers

Answer:

x≥-5

x≥4

r≥21

-15 greater than or equal to x

Step-by-step explanation:

1st one is D. -15<=x
2nd would be D. x>=-5
3rd would be C. 4, 9, 12
4th would be B. r>=21


Pls someone help me with this question pls

Answers

Answer: C

Step-by-step explanation:

there’s 100 different options, 25 of them are orange.

25/100 reduces to 1/4

Answer:

It would be 1/4. If you add up all the numbers

40,20,25,15. It adds up to 100. And 25 out of 100 is 1/4

Find two numbers the quotient is between. Then estimate the quotient. Estimate. 34 ÷ 3 The quotient is between and . The estimate for the quotient is .

Answers

Answer:

34 / 3 = 11.33333.....

the quotient is between 11 and 12

The estimate is 11

evaluate 11P4 and 9C5​

Answers

Simón la otra vez 83 no se que digo solo quiero puntos jaja xd saludos a todos quien juega free

A
B
C
D
Or none of the above?

Answers

It would be B because it’s part to whole not whole to part...

LMNP is rotated 90 degrees clockwise around the origin.
What are the coordinates of P’?

A. P’ (9,0)
B. P’ (0,-9)
C. P’ (-9, 0)
D. P’ (0,9)

Answers

Answer:

B

Step-by-step explanation:

The new position of point P (h, k) will become P’ (k, -h).

Answer:

The answer above me is INORRECT!!! Look below!!!

Step-by-step explanation:

Directions: Analyze carefully. Write T if the statement is true and write F if the statement is false.


1. Edge is the flat surface of a solid.
2. Rectangular prisms are solid figures which have 12 edges, 8 vertices and 6 rectangular
faces.
3. A cylinder is a solid figure which has 2 faces and 2 edges.
4. A cone has a flat surface.
5.
Apyramid has triangular faces.​

Answers

Answer:

(1) F

(2) T

(3) F

(4) T

(5) T

Step-by-step explanation:

(1) False; The edge is not a flat surface but rather it is the point where two surfaces meet

(2) True; Rectangular prisms, also known as cuboids have the following properties.

[tex]Edges = 12\\ Vertices = 8\\ Faces = 6[/tex]

(3) False; A cylinder has 3 faces (2 flat faces and 1 curved face)

(4) True; A cone has 1 flat surface

(5) True; All pyramids have triangular faces

Based on article 39, infer how some people had been abused by King John´s rule

Answers

Answer:King John wanted to wage a war with France to win back his ancestors land, and taxed the barons and people heavily.

Step-by-step explanation:

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