A car travels a distance of d km in t hours. The formula that
relates d to tis d = kt. What kind of variation is it?​

Answers

Answer 1

Answer:

Direct Variation

Step-by-step explanation:

Given: A car travels at a distance of [tex]d[/tex] km. The formula that relates [tex]d[/tex] to [tex]t[/tex] is [tex]d=kt[/tex]

To find: kind of variation

Solution:

The formula that relates [tex]d[/tex] to [tex]t[/tex] is [tex]d=kt[/tex]

Here, [tex]k[/tex] is a constant of proportionality.

Constant of proportionality is also called as constant of variation.

[tex]d[/tex] varies directly as [tex]t[/tex].

Therefore, this is a direct variation.


Related Questions

Plz show work thanks

Answers

Answer:

1/sec x- tan x

Step-by-step explanation:

sec x+ tan x

= sec x+ tan x) (sec x - tan x)/(sec x , tan x)

=sec^2x-tan^2x)(sec x- tan x)

(sec^2x-tan^2x=1)

=1/sec x- tan x

please help asap 50 points The sail of a boat is in the shape of a right triangle, as shown below:

The sail of a boat is a right triangle with an acute angle equal to 35 degrees and the side of the sail which is the hypotenuse

Which expression shows the height, in meters, of the sail? (6 points)

Select one:
a. 8 divided by cosec 35 degrees
b. 8 sin 35°
c. 8 sec 35°
d. 8 divided by sec 35 degrees

Answers

Answer:

d. 8 divided by sec 35 degrees

Step-by-step explanation:

Answer:

D is right

Step-by-step explanation:

WORTH 35 POINTS!!! Annie’s dad travels for business. On Monday, he drives for 4 hr. at a constant rate of 55 mph to meet with a customer. On Tuesday, he drives 3 hr. at a constant rate of 50 mph to meet with his district sales manager. On Wednesday, he drives 2 hr. at a constant rate of 60 mph to pick up supplies at the warehouse. How many miles does Annie’s dad drive total before he heads for home?
A. 120 mi.
B. 150 mi.
C. 220 mi.
D. 490 mi.

Answers

Answer:

220mi

Step-by-step explanation:

Annie's dad drove a total of 490 miles before heading home. The correct option is D.

What is the distance?

Distance is defined as the product of speed and time.

We can use the formula distance = rate x time to calculate the distance for each day.

On Monday, he drove for 4 hours at 55 mph, so the distance he traveled was:

distance = 55 mph x 4 hours = 220 miles

On Tuesday, he drove for 3 hours at 50 mph, so the distance he traveled was:

distance = 50 mph x 3 hours = 150 miles

On Wednesday, he drove for 2 hours at 60 mph, so the distance he traveled was:

distance = 60 mph x 2 hours = 120 miles

To find the total distance, we can add up the distances for each day:

220 miles + 150 miles + 120 miles = 490 miles

Therefore, Annie's dad drove a total of 490 miles before heading home.

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The Countrywide building has a square base. It has 45 floors of offices, all of which have about the same number of windows.
If there are 8 windows on 1 side of the 23rd floor, what is a reasonable estimate for the number of windows in the entire building?

A. 8 windows
B. 45 windows
C. 360 windows
D. 1,440 windows

Answers

Answer:

Step-by-step explanation:

think it would be b

PLEASE HELP
Which element should you not include in a summary for a book review?


a brief description of setting


the story's ending


explanation of theme


how the main conflict is resolved

Answers

the story’s ending :) please do not follow any links

I am having a hard time with this problem will you help me please?​

Answers

Answer:

2:3

Step-by-step explanation:

The ratio can be setup with 8:12 since the numbers are identifiable as the short sides. Simplify this ratio by dividing by 4 to get 2:3.

Which is the equation of the line that passes through the points (4, 3) and (6, 2)?

Answers

Answer:

answer is c hope this helps

Step-by-step explanation:

Renata and her family go through an average of more than 15 cans of sparkling water each day. They buy cases of 24 cans at $3.50 a case. Write an inequality for the number of cases they go through in 30 days. ​

Answers

Answer: The inequality required to express the above condition is   x     ≥    18.75

Step-by-step explanation:Renata and her family go through an average of more than 15 cans of sparkling water each day.

The number of cases of 24 cans of sparkling water.

We can take the number of cases to be x.

Each case is said to cost $3.50.

An inequality for the number of cases that Renata's family go through in 24 days can be written as

      x ≥            ⇒     x    ≥            ⇒   x ≥     18.75

Therefore the inequality required to express the above condition is

x     ≥    18.75

plz, help me with this plz!!!

Answers

Answer:

You need common denominators

Step-by-step explanation:

Because you need to have the same number on the bottom in order to correctly add/ subtract the fractions.

A factory worker finds 26 products are defective out of a random sample of 400
products. Based on the results, about how many of the 56,000 products produced this
month can be expected to be defective?

Answers

Answer: 36,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

36,400

The bar graph shows the height of a plant each month for four months. Your friend concludes that the height of the plant in Month 4 is 3
times its height in Month 1. Is this conclusion accurate? Explain.

Answers

Answer:

I can't see the pic or I can't answer sorry

Step-by-step explanation:

No, because the height in month one was twelve centimeters, while the height in month four was 24 centimeters. This conclusion is not accurate because 12 times 3 is 36, not 24.

Pls help no links pls pls pls

Answers

Answer:

x=20

it told me the answer is too short but that answer is right

In the sketch below, two parallel lines are cut by a transversal.

Answers

Answer:

m<1 = 150°

Step-by-step explanation:

Given:

m<1 = (4x + 50)°

m<2 = (7x - 25)°

Required:

m<1

Solution:

To find m<1, we need to create an equation that will enable us determine the value of x.

Thus,

4x + 50 = 7x - 25 => corresponding angles are congruent to each other

4x + 50 - 7x = 7x - 25 - 7x (subtraction property of equality)

-3x + 50 = - 25

-3x + 50 - 50 = -25 - 50 (substraction property of equality)

-3x = -75

-3x/-3 = -75/-3 (division property of equality)

x = 25

✅m<1 = (4x + 50)°

Plug in the value of x

m<1 = 4*25 + 50 = 100 + 50

m<1 = 150°

Solve for x
This is also an octagon if it helps!

Answers

Answer:

x = 10

Step-by-step explanation:

it has 8 sides so:

total interior angle degrees = (180° x 8 sides) - 360° = 1080°

11x + 14 + 4x + 87 +2x + 70 + 4x + 31 + x + 92 + 3x + 167 + 5x + 48 + 2x + 251 = 1080°

combine like terms:

32x + 760° = 1080°

subtract 760° from both sides of the equation:

32x = 320°

divide both sides by 32:

x = 10

what is the solution to the system of equations?
3x - 6y = -12
2x - 4y = -16

please help!!

Answers

Solve for
x
x in
3
x

6
y
=

12
3x−6y=−12.
x
=
2
y

4
x=2y−4

2 Substitute
x
=
2
y

4
x=2y−4 into
2
x

4
y
=

16
2x−4y=−16.

8
=

16
−8=−16

3 Since

8
=

16
−8=−16 is not true, this is an inconsistent system.
No Solution

8 + 12n – 4n – 7 Another problem pls dont troll or i will report you :)

Answers

Answer:

Step-by-step explanation:

Do u see any similarities between the numbers? Both 12 and -4 have a variable(N). 8 and -7 dont have a variable, so u have to calculate them individually.

One thing to remember is just because there is a minus sign(-) or a plus sign(+) does not mean its addition or subtraction. its the value of the number. the sign to the left of the number is its value. so left of 12 is plus(+), so its a positive. left of 4 is a minus sign(-) so its a negative 4. lastly, left of 7 is minus sign(-), which means its negative 7. now u add.

lets add the variables first:

12n + (-4n) = 8n

add the regular numbers:

8 + (-7) = 1

so its 8n + 1

According to this diagram, what is cos 28°? 62° 17 8 28° 90° 15 O A. 17 15 O B. 8 17 O c. 15 17 O D. O E. 8 15 15 OF.​

Answers

Answer:

C. [tex] Cos(28) = \frac{15}{17} [/tex]

Step-by-step explanation:

Recall: SOHCAHTOA

Thus,

[tex] Cos(\theta) = \frac{Adjacent}{Hypotenuse} [/tex]

Reference angle = 28°

Adjacent = 15

Hypotenuse = 17

Plug in the values

[tex] Cos(28) = \frac{15}{17} [/tex]

Which statement best describes g(x) = 3 x + 6 - 8 and the parent function f(x) = 3x ?

The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.

Answers

Answer:

The answer is C: the ranges of g(x) and f(x) are the same, and their domains are also the same.

Step-by-step explanation:

Just took the test on edge!! :)

Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

What is domain?

List of values of x an equation can satisfy is called Domain.

What is range?

List of values y the function can generate is called range

For example, f(x)=x

it can satisfy real domain i.e. x∈R

and range is R

g(x) = 3 x + 6 - 8 and f(x) = 3x

Domain for both the function is R

Both the function can satisfy all the real numbers, so its range is also R.

Therefore,Option C The ranges of g(x) and f(x) are the same, and their domains are also the same is correct.

Learn more about domain and range,

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jacob has 10p 20 p and 50 p coins one quater of the coins
is 50 p with a total of 3.00 the ratio of 10 p to 20p is 2 : 7 how much money does jacob have

Answers

Answer: 7 20

Step-by-step explanation:

Let x = number of 20p coins

10+50+20x=200        10p + 50p + x(20p) = 200p    (100p=1 pound)

60 + 20x = 200

subtract 60 from each side

20x=140

divide both sides by 20

x=140/20=14/2=7

x=7  James has 7 20p coins

Pls help me pls pls

Answers

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

ANSWER: I think it’s 40^2 because you’re multiplying the base 8x5 which is 40+40

Express each decimal to fraction 106.28

Answers

Answer:

2657/25

Step-by-step explanation:


Please help me it’s a Friday and my cousin birthday tomorrow and if I don’t finish I can’t go. (NO LINKS) need explanation. (EXPLAIN) and no lying.

Answers

Answer:

D. 0-69

Step-by-step explanation:

I'm not quite 100% sure but I believe it is D. This is because the spread means the range, and the range is the lowest value to between the highest value so it makes sense that the spread is 0-69

apologize of its wrong

Which number line represents the solution of 5X < 30

Answers

Answer:

Step-by-step explanation:

Answer:

BRO, where are the number lines, can't help you if you dont put the number lines

3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?

Answers

Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

After he cuts the 4 bars, there are 12 pieces Jacob have.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Jacob has 4 granola bars.

He cuts them into pieces that are 1/3 of a bar each.

After he cuts the 4 bars.

After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.

[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]

Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.

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Helpp with math!!!!!!!!

Answers

I think the area is 63. Sorry if it is incorrect.

Find the measure of 43.
92 88°
43
88
43 = [?]
please help I will give you brainlist just no links

Answers

Answer:

88°

Step-by-step explanation:

Because, vertically opposite angles are equal

are 12(x-12) and 12x-24 equivalent

also

are 7+3(5d-2) and 13 + 15d equivalent​

Answers

Answer:

1. Yes they are

2. No they are not

hope this helps :)

Step-by-step explanation:

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for
the 8 placemats?

Answers

Answer:

144 yarns of fabric

Step-by-step explanation:

If 8 placemat =18 fabrics

then 8 p placemats=8x18

=144

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. Leilani will need 4 yards of fabric to make the 8 placemats.

To determine the amount of fabric Leilani will need for 8 placemats, we need to convert the given length from inches to yards.

Given:

Length of fabric needed for one placemat = 18 inches

To convert inches to yards, we divide the length in inches by 36 (since there are 36 inches in a yard).

18 inches / 36 = 0.5 yards

Therefore, for one placemat, Leilani will need 0.5 yards of fabric.

To find the total amount of fabric needed for 8 placemats, we multiply the fabric requirement for one placemat by 8:

0.5 yards/placemat * 8 placemats = 4 yards

Leilani will need 4 yards of fabric to make the 8 placemats.

To know more about  "yards."  here

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Full Question.

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for the 8 placemats?

( No graph Needed)

What is the value of the expression
401P + q?), when p = 49 and q = -2?
O A) 12
OB) 20
OC) 36
OD) 44

First person to answer will get 10 points :D

Answers

The answer is 12.
4(sqrt.49 -2^2)
4(7 - 4)
4 x 3 =12

I got 30 will someone double check me please.

Answers

That’s the correct answer

Answer:

yeah its 30

hdkqksbdkwlqmvwksl

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