Mathematics College

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

The arc length of this circle is 9.42 inches. Determine the length of the radius.

Complete your work in the space provided.

Answers

Answer:

Radius = 5.996958 (They probably just want “6”).

Step-by-step explanation:

9.42x4=37.68 (perimeter)

Perimeter=2[tex]\pi[/tex]r

37.68÷2[tex]\pi[/tex]=r

5.996958=r

In AMNO, the measure of 20=90°, MN = 99 feet, and OM = 52 feet. Find the
measure of M to the nearest degree.

Answers

Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

Determine which of the four levels of measurement (nominal ordinal, interval ratio) is most appropriate for the data below.

Class times measured in minutes

Answers

Answer:

Ratio

Step-by-step explanation:

The measurement of time is measured in ratio scale

Open Response Mrs. James buys 5 hat and
glove sets for charity. She has coupons for
$1.50 off the regular price of each set. After
using the coupons, the total cost is $48.75.
Determine the regular price of a hat and
glove set.
Cost ($)
Item
Hat and glove set
р
Scarf
9.99

Answers

Answer:

$8.26

Step-by-step explanation:

$48.75= Total

$1.50= Coupon discount

5= Number of Sets bought by Mrs. James

*$48.75-($1.50*5)= $41.28*

41.28= Total after Coupon discount is removed

5= Number of Sets bought by Mrs. James

$41.28/5= $8.256

Round answer to show dollar value

Final Answer

$8.26

Given the function C(t) = (t - 2)(t + 6) (t - 4):
the coordinates of its C-intercept are
the coordinates of its t-intercepts are

Answers

Answer:

c*(t)-((t-2)*(t+6)*(t-4))=0

Step-by-step explanation:

ct - ((t - 2) • (t + 6) • (t - 4)) = 0

ct - (t - 2) • (t + 6) • (t - 4) = 0

3.1 ct-t3+28t-48 is not a perfect cube

ct - t3 + 28t - 48 = 0

Solve ct-t3+28t-48 = 0

Sean earns $ 6.70 per hour working after school. He needs at least $155(greater than or equal to 155) for a stereo system. Write an inequality that describes how many hours he must to reach his goal.)

Answers

6.70h >_ 155
(>_ represents greater than or equal)

Answer:

6.70h <= 155

Step-by-step explanation:

1. Define a variable.

Let h = number of hours

2. Write the inequality.

We know that he earns $6.70 an hour. We also know that he needs at least $155, which means he needs greater than or equal to 155. Therefore, 6.70h <= 155.

what is the slope of the line? (khan academy) please help

Answers

Answer: m=-3/2

Step-by-step explanation: Rise/Run

Rise is 3

Run is -2

So it would be -3/2

Answer:

-3/2

Step-by-step explanation:

from khan

the slope of a line is 1, and the y-intercept is -1. what is the equation of the line written in slope-intercept form?

Answers

Answer:

y=x-1

Step-by-step explanation:

Suppose that the relation G is defined as follows.
G={(7, d), (1, a), (8,8), (d, 0);
Give the domain and range of G.
Write your answers using set notation.
domain =
0,0....
Х
range

Answers

Answer:

[tex]Domain = \{7,1,8,d\}[/tex]

[tex]Range = \{d,a,8,0\}[/tex]

Step-by-step explanation:

Given

[tex]G=\{(7, d), (1, a), (8,8), (d, 0)\}[/tex]

Required

The domain and the range

A function represented as:

[tex]Function = \{(x_1,y_1),(x_2,y_2)......(x_n,y_n)\}[/tex]

Where:

[tex]Domain=x_1,x_2,....,x_n[/tex]

[tex]Range=y_1,y_2,....,y_n[/tex]

So:

[tex]G=\{(7, d), (1, a), (8,8), (d, 0)\}[/tex]

[tex]Domain = \{7,1,8,d\}[/tex]

[tex]Range = \{d,a,8,0\}[/tex]

Line segment ON is perpendicular to line segment ML, and PN = 10.

Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 25 and the length of P N is 10. Angle O P L is a right angle.

What is the area of triangle MOL?

200 square units
250 square units
300 square units
500 square units

i think its c 300

Answers

Answer:

C. 300 square units

Step-by-step explanation:

Answer:

it´s c edg 2021

Step-by-step explanation:

You want to order one milkshake. The Ice Cream Shop will not allow you to mix flavors. How many ways could you order a milkshake?

Answers

Answer:

15 ways

Step-by-step explanation:

3 sizes x 5 flavors = 15 combinations

Answer:

Step-by-step explanation:

if you can make 3 sizes for each flavor and there are 5 flavors then there are 15 ways to get a milkshake 3x5=15

please help me i really need help please

Answers

Answer:

104

Step-by-step explanation:

Hey There!

So essentially what this problem is asking us to do is solve for the missing angle in a triangle

Remember all of the angles in a triangle will add up to 180

so to find the missing angle we subtract the given angles (38 and 38) from 180

180-38-38=104

so we can conclude that angle A equals 104

Hope this helps!

Answer:

104 degrees

Step-by-step explanation:

Hope this helps!

Have a great day!

Data on pull-off force (pounds) for connectors used in an automobile engine application are as follows:

79.6 75.1 78.2 74.1 73.9 75.0 77.6 77.3 73.8 74.6 75.5 74.0 74.7 75.9 72.7 73.8 74.2 78.1 75.4 76.3 75.3 76.2 74.9 78.0 75.1 76.8

If necessary, round all intermediate calculations to four decimal places (e.g. 12.3456).

Required:
a. Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why?
b. Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.
c. Calculate point estimates of the population variance and the population standard deviation.
d. Calculate the standard error of the point estimate found in part (a). Interpret the standard error.
e. Calculate a point estimate of the proportion of all connectors.

Answers

Answer:

a. A point estimate of the mean pull-force of all connectors in the population is approximately 75.7385

The point estimate for the mean used is the sample mean

b. The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% is 74.3131 N

c. The point estimate of the population variance is approximately 2.8577

The point estimate for the population standard deviation is approximately 1.6905

d. The standard error of the mean is approximately 0.3315

e. The point estimate of a proportion of the connectors are;

(72.7, 0.0385) , (73.8, 0.0769) , (73.9, 0.0385) , (74, 0.0385) , (74.1, 0.0385) ,(74.2, 0.0385), (74.6, 0.0385) , (74.7, 0.0385) , (74.9, 0.0385) , (75.1, 0.0769) , (75.3, 0.0385) , (75.4, 0.0385) , (75.5, 0.0385) , (75.6, 0.0385) , (75.8, 0.0385) , (76.2, 0.0385) , (76.3, 0.0385) , (76.8, 0.0385) , (77.3, 0.0385) , (77.6, 0.0385) , (78, 0.0385) , (78.1, 0.0385) , (78.2, 0.0385) , (79.6, 0.0385)

Step-by-step explanation:

The given data for the pull-force (pounds) for connectors used in an automobile engine are presented as follows;

Pull-force (pounds); 79.6, 75.1, 78.2, 74.1, 73.9, 75.6, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.8, 72.7, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a. A point estimate of the mean pull-force of all connectors in the population is the sample mean given as follows;

[tex]Mean, \ \overline x = \dfrac{\Sigma x_i}{n}[/tex]

[tex]\Sigma x_i[/tex] = The sum of the data = 1966.6

n = The sample size = 26

Therefore, the sample mean, [tex]\overline x[/tex] = 1966.6/26 ≈ 75.7385

The point estimate for the mean is approximately 75.7385

The sample mean was used as the point estimate for the mean because it is simple and representative of the sample

b. The weakest 50% of the connectors are;

72.7, 73.8, 73.8, 73.9, 74, 74.1, 74.2, 74.6, 74.7, 74.9, 75.1, 75.1, 75.3

The sum of forces that separates the weakest 50%, [tex]\Sigma x_{i}_{50 \%}[/tex] = 966.2

The point estimate of the pull force that separates the weakest 50% of the connectors from the strongest 50% = [tex]\Sigma x_{i}_{50 \%}[/tex]/13 = 966.2/13 = 74.3131 N

c. The estimate of the population variance is the sample variance, given as follows;

[tex]s^2 =\dfrac{\sum \left (x_i-\overline x \right )^{2} }{n - 1}}[/tex]

Where;

[tex]{\sum \left (x_i-\overline x \right )^{2} }[/tex] ≈ 71.4415

Therefore;

[tex]s^2 =\dfrac{71.4415 }{25}} \approx 2.8577[/tex]

The point estimate of the population variance, s², is 2.8577

The point estimate for the population standard deviation, σ, is tha sample standard deviation, 's', given as follows;

s = √s² = √2.8577 ≈ 1.6905

The point estimate for the population standard deviation ≈ 1.6905

d. The standard error of the mean is given as follows;

[tex]SE_{\mu_x} = \dfrac{s}{\sqrt{n} }[/tex]

Therefore, we have;

[tex]SE_{\mu_x}[/tex] = 1.6905/√(26) ≈ 0.3315

The standard error indicates the likely hood of the difference between the sample mean and the population mean

e. The point estimate of a proportion of the connectors are;

(Number of sample with a given pull-force value)/(Sample size (26))

Therefore, using Microsoft Excel, we have

Solve the following equation by first writing the equation in the form ax^2 = C:
t² - 490
a. t = 49
b. t = +49
C. t = 7
d. t = +7

Answers

Answer: c.) t = 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

edge 2021

In a poll, 417 students voted. Nominee D received 2/3 of the votes. How many did nominee D receive?

Answers

417/3 = 139 x 2 = 278

= 278

Answer:

278 votes

Step-by-step explanation:

[tex]2/3 * 417 = 278[/tex]

Picture thanks a lot

Answers

2.8 is the correct answer :)

f(x) = x2
What is f(x) + f(x) + f(x)?

Answers

Answer:

3x²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

[Given] f(x) = x²

[Solve] f(x) + f(x) + f(x)

Step 2: Find

Combine like terms: 3f(x)Substitute in function: 3(x²)Multiply: 3x²

if the sides of a triangle are 3x, x-4, and x+2, what is the perimeter of the triangle in terms of x?

Answers

Answer:

P = 5x - 2

Step-by-step explanation:

Givens

P=s1 + s2 + s3

s1 = 3xs2 = x - 4s3 = x + 2

Solution

P = 3x + x - 4 + x + 2P = 5x - 2

Answer:

Step-by-step explanation:

The perimeter is just the sum of all side lengths so

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

P=3x+x-4+x+2

P=5x-2

Describe the rays of an angle that measures1/2 turn

Answer: (-4 ,4)

Step-by-step explanation:

what is the measure of arc EDC?

Answers

Answer:

139°

Step-by-step explanation:

FG must equal 16. We have to assum DG is a straight line.

2x+90+74+82+16=360

2x=98

x=49 (DAC and CAB)

90+49=139

a copy machine prints 10 copies per 1/4 at what rate in copies per minute does the copy machine print?

Answers

The copy machine will print 4 copies per minute

Express q/4p−q/p as a single fraction

Answers

Answer: -3q/4p

I hope this helps

The fraction q/4p−q/p as a single fraction is −3q/4p.

We are given that;

The fraction= q/4p−q/p

Now,

A fraction represents a part of a number or any number of equal parts.

To express q/4p−q/p as a single fraction, we need to find a common denominator for the two fractions and subtract them. The least common multiple of 4p and p is 4p, so we can multiply the second fraction by 4/4 to get an equivalent fraction with the same denominator:

q/4p−q/p = q/4p−(q/p)(4/4) = q/4p−4q/4p

Now we can subtract the fractions by subtracting the numerators and keeping the denominator:

q/4p−4q/4p = (q−4q)/4p = −3q/4p

Therefore, by the fraction answer will be −3q/4p.

Learn more about fraction;

https://brainly.com/question/729654?referrer=searchResults

#SPJ2

WALLAHI HELP ME PLEASE WALLAHI I BEG

Answers

Answer:

x+2 y-1

Step-by-step explanation:

this would be moving 2 over on x and subtracting down one on the y and a shrink

What is the answer? Plz help me

Answers

Answer:

27y + 6r

Step-by-step explanation:

use the distributive property

3 * 9y = 27y

3 * 2r = 6r

27y + 6r

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

My floor rug is 1/3 yard wide and 8/3 yards long. How many square yards of floor does the rug cover?

Answers

Answer:

the answer us 8/9

1/3 times 8/3= 8/9

Answer:

Step-by-step explanation:

we have 2 area rugs, and each has a length of 4 yards

Rug 1 has a area of 16 square yards, meaning that the width is also 4 yard(L*w=16, where Length=4)

Rug 2 has a Length of L=4 but the area is just 12 square yards, so here we have the width of 3 yards (12/4=3)

the rug number 2 will fit in tucker's bedroom

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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.​

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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.