Question 10 > Two skiers are 43.5 kilometers apart and head towards each other. They meet in 1.5 hours. If the second skier is 7 kilometers per hour faster the the other, find the speed of each skier? Distance || Rate || Time Slow Skier Fast Skier Total The slow skier travels at kilometers per hour. The fast skier travels at kilometers per hour. Question Help: Message instructor Submit Question​

Answers

Answer 1

Answer:

The first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.

Step-by-step explanation:

Given that two skiers are 43.5 kilometers apart and head towards each other, and they meet in 1.5 hours, if the second skier is 7 kilometers per hour faster the other, to find the speed of each skier the following calculation must be performed:

43.5 / 1.5 = 29

29 - 7 = 22

2/22 = 11

11 x 1.5 + 18 x 1.5 = X

43.5 = X

Thus, the first skier goes at a speed of 11 kilometers per hour, while the second does it at a speed of 18 kilometers per hour.


Related Questions

Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Answers

man i don’t know, probably 70

6. The angle of depression from the top of a tower to a boulder on the ground is 38°. If the tower is 25 m high,
how far from the base of the tower is the boulder?

Answers

Tan38 = 25/x
.781 = 25/x
31.998 = x

please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A) 40

B) 20

Step-by-step explanation:

By Length · Width · Height

A)  (5) · (4) · (2) = 40

For part B, the length and width are the same, but the depth (height) of the water is only one foot, so we can replace the height value from the first equation with 1.

B) (5) · (4) · (1) = 20

How many, and what type of solutions do the follow
quadratic equations have?
2x2 – 3x – 7 = 36

Answers

Answer:

2 real solutions

Step-by-step explanation:

Determinant of a quadratic equation: [tex]b^2-4ac=(-3)^2-4\times2\times(-7-36)=353.[/tex]

Since the determinant is larger than 0, it has 2 real solutions.

620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years

Answers

Answer:

Y=620×((1+(0.055÷4))^(4t)

Step-by-step explanation:

Y=X ((1+(r/n))^(nt)

Y future value

X present value 620

R interest rate 0.055

N compound quarterly 4

T time

What is the measure of the central angle that goes with the given arc measure shown below

Answers

The measure of minor arc is equal to its corresponding central angle
Since the arc is equal to 90 the central angle is also equal 90

A study will be conducted to investigate whether there is a difference in the mean weights between two populations of raccoons. Random samples of raccoons will be selected from each population, and the mean sample weight will be calculated for each sample.
Which of the following is the appropriate test for the study?
A. one-sample zz-test for a population proportion
B. A one-sample tt-test for a population mean
C. A two-sample tt-test for a difference between sample means
D. A two-sample tt-test for a difference between population means
E. A two-sample zz-test for a difference between population proportions

Answers

Answer:

D. A two-sample t-test for a difference between population means

Step-by-step explanation:

Since in the question it is mentioned that there would be the random samples taken from each population of raccons and the weight of the mean sample would be determined for each kind of sample

So here the test for the study that should be considered is two sample t-test so that it would create a difference between the population means

Hence, the option d is correct

How do you solve this

Answers

use sine law. x = 16.3cm

Step-by-step explanation:

Since triangle angles add up to 180 deg

angle F = 180 -87 -40 = 53

side EF/ sin (angle G) = side EG / sin (angle F )

EF / sin(87) = 13 / sin(53)

EF = 13/sin(53) × sin(87)

EF = 16.3cm

Liza went out for pizza with her mom. Their meal cost $32. Sales tax is 5% and they decide to leave 15%
for average service. What is their total bill?

Answers

Answer:

7

Step-by-step explanation:

fdgrgeag

A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling: Pine Trees Spruce Trees Sample Size 40 80 Mean trunk diameter (cm) 35 30 Population variance 160 160 Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

Answers

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

[tex]H_a: \mu_1 - \mu_2 > 0[/tex]

In which [tex]\mu_1[/tex] is the mean pine trees height while [tex]\mu_2[/tex] is the mean spruce trees height.

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

[tex]X = 35 - 30 = 5[/tex]

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2[/tex]

[tex]s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}[/tex]

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

[tex]s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{5 - 0}{2.4495}[/tex]

[tex]z = 2.04[/tex]

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Each side of the park is 9meters long what is the perimeter

Answers

Answer:1125

Step-by-step explanation:

w=width

w+20=length

P=2l+2w

140=2(w+20)+2w

140=2w+40+2w

140=4w+40

140-40=4w

100=4w

w=100/4

w=25 m

l=25+20=45 m

A=lw

A=45*25

A=1125 sq m

Can anyone help? I struggle with Algebra

Answers

The answer is D on your question

Triangle ABC is equilateral. What is the measure of angle B?

Answers

Answer:

60

Step-by-step explanation:

Equilateral triangles- all 3 angles are 60

Please help!!!!!!!!!

Answers

10+6+9+13+7= 45

and divide it by 5

the answer is 9

the answer is 2.74, this is easy to figure out if you want to you can look up a claculator for it

 

PLEASE HELP!!!!!!!!!!!!

Answers

Answer:

I didnt get what the photo shows....

Step-by-step explanation:

a fair dice is thrown once write down the probability of getting a three​

Answers

Step-by-step explanation:

There are 6 faces in a die 3 is an even no.

So, probability of getting 3 is

3/6=1/2 Answer

hope it helps...

What do you want to know

Answers

Answer:

the point of living life if there's any also what's after death

Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4

Answers

Answer: D. 4

Step-by-step explanation:

In AHIJ, h = 160 inches, i = 910 inches and ZJ=28°. Find the area
of AHIJ, to the nearest square inch.

Answers

Answer:

34178

Step-by-step explanation:

deltamath

Doors for the small cabinets are 11.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small cabinets. How many large doors can be cut from a board that is 10 feet long?

Answers

Answer:So if you take the small cabinet door length which is 11.5 inches long and multiply by a factor of 2.3 you get the total length of the large cabinet doors, which is 26.45 inches

Step-by-step explanation:

Help me!!!!!!!!!!!! And look at the picture plzzzz!!!!

Answers

Answer: 72

Step-by-step explanation:

Set it up as a ratio

[tex]\frac{12}{15} =\frac{x}{90} \\15x=1080\\x=72[/tex]

1 Krista has 10 cups of gelatin. If each bowl holds 3 cup, how many bowls can she fill?​

Answers

Answer: Krista can fill 3 1/3 bowls of gelatin.

What are the coordinates of point A" if triangle
ABC is reflected over the y-axis and then
translated by the rule (22, y) + (x – 5, y – 5) ?

A. (-2,-2)
B. (2,-2)
C. (-2,2)
D. (2,2)

Answers

Answer:

Reflected OVER Y makes A

A (-7,3) -> (7,3)

Translated makes

A (7,3) -> (7-5, 3-5) = (2,-2)

B)

Step-by-step explanation:

A television is on sale for 30% off. The sale price is $322. What is the original price of the television?
PLEASE HELP QUICK

Answers

Answer:

$460

Step-by-step explanation:

Let

x = original price of the television

Sale price = $322

Discount = 30%

x - 30% of x = 322

x - 0.3 * x = 322

x - 0.3x = 322

0.7x =322

x = 322/0.7

x = $460

x = original price of the television = $460

help me plssss


6 - BLANK = 5 AND 1/3

Answers

the answer would be 2/3

this is because 6 - 5 1/3=2/3

who is spongeborb ???

Answers

Answer:

Spongeborb???

I don't know a spongeborb, but I DO know a spongebob

Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes

Answer: spongeborb?

SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.

Step-by-step explanation:

Have a nice day!

The height of a triangle is 5 more than double the base length. If the height of the triangle is 74mm, what is the base length of the triangle

Answers

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length

I need help ASAP pls help me

Answers

Answer:

ΔABC ≅ ΔPQR

Step-by-step explanation:

therefore, AB has the same length as PQ

therefore, BC has the same length as QR

therefore, AC has the same length as PR

∡A = ∡P

∡B = ∡Q

∡C = ∡R

What is the volume of the rectangular prism?
5 cm
8 cm
1 cm
cm3

Answers

Answer: 40 PLEASE MARK BRAINLEST

Step-by-step explanation:

On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?

Answers

Answer:

13 %

I hope it's correct.

Step-by-step explanation:

initial marks (o) = 98

final marks (m) = 85

rate (r) = ?

Now,

r =

[tex] \frac{o - m}{o} \times 100percent[/tex]

= ((98-85)/98)x100%

=13.26%

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