Mathematics High School

the amount of gasoline used by a car varies jointly as the distance travelled and the square root of the speed.Suppose a car used 25 liters on a 100 km trip at 100kph,about how many liters will it use on 1000 km trip at 64 kph?​

Answers

Answer 1

Answer:

200 litres

Step-by-step explanation:

let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is

g = kd[tex]\sqrt{s}[/tex] ← k is the constant of variation

To find k use g = 25, d = 100 and s = 100, then

25 = k × 100 × [tex]\sqrt{100}[/tex] = k × 100 × 10 = 1000k ( divide both sides by 1000 )

0.025 = k

g = 0.025d[tex]\sqrt{s}[/tex] ← equation of variation

When d = 1000 and s = 64, then

g = 0.025 × 1000 × [tex]\sqrt{64}[/tex] = 0.025 × 1000 × 8 = 200

Related Questions

At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make a purchase to the number of customers who do not make a purchase.

Answers

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

Karen is making peach and apple pies. She needs to buy both peaches and apples to make her pies. Apples cost $2 per pound and peaches cost $4 per pound. She has $40 to spend on these ingredients.

If Karen buys 3 pounds of apples, how many pounds of peaches can she buy?

Answers

$2 times 3 pounds of apples = $6
$40-$6= 34 pounds of peaches
karen can buy 34 pounds of peaches.

these two triangles are similar. find the missing length.

Answers

so if we go by fractions, you could say that 6 cm is 6/10ths or 3/5ths so 3/5ths of 25 is 15, for questions like this, when you do something to one part you have to do it to both. hope this helps

Which table matches the equation y=5x+2
A.
X -3, 2, 7
Y -1, 0, 1
B.
X 0, 1, -1
Y -2, -3, 7
C.
X -2, -1, 0
Y 10, -5, 0
D.
X -1, 0, 1
Y -3, 2, 7

Answers

The answer is choice D.

Someone please help and makes sure the answer is right please !!!!!!!

Answers

Answer:

D = 36

Step-by-step explanation:

73 + 35 = 108. 108 / 3 = 36. Brainliest pls

I think d=36 let me know if wrong

1. Priya can bike 150 meters in 20 seconds.

At this rate, how long would it take her to bike 3,000 meters?

What is her unit rate?

Answers

The answer would be 400 seconds
the answer isss 400 seconds :))

Factor the expression using 3 as one factor.

3x+15

Answers

3(3)+15 which equals 24

Answer: 3(x+5) ✅

 

Step-by-step explanation:

Hii, do you need to factor the expression 3x+15? No problem! (:

Note that 3x and 15 have a "3" in common.

To factor it out, we can divide 3x and 15 by 3 first.

x+5

Put parentheses around x+5

(x+5)

Now put the 3 that we just factored out outside these parentheses

3(x+5)

--

Hope that this helped! Best wishes.

--

The price of a house is originally listed at $110,000. The owners are having a hard time selling it and decide to reduce the price to $101,200. What is the percentage decrease of the price of the house?

Answers

Answer:

8%

Step-by-step explanation:

110000 - 101200 = 8800 (change)

change/original price X 100

8800/110000 = 0.08

0.08 X 100 = 8

can someone answer this asap :))

^^ all i need is the second one shown in the picture, you don’t have to do #1 :)

also can u please show everything step by step so i can understand? thank you!

Answers

for graphing make sure to shade the right portion and to make the line dotted like (— — — —)
the red is y>8x-4, the blue is y>-1/2x+1/2

2x-.25y < 1 is equal to 2x-1/4y < 1
multiply each side by 4:
8x-y < 4
add y to each side:
8x < 4+y
subtract 4 from each side:
8x-4 < y
rewrite:
y > 8x-4

4x+8y > 4
divide both sides by 8:
1/2x+y > 1/2
subtract -1/2x from each side:
y > -1/2x + 1/2

19. Explain the difference
between (-12)^2 and - 12^2.

Answers

with no parentheses in the expression, the answer would be negative. but if theres parentheses separating the negative base and the exponent, the answer is positive.

What is the domain? F(x)= 3x^2-2x-1/ x^2+3x-10

Answers

Domain:
(
−
∞
,
∞
)
,
{
x
|
x
∈
R
}

What is the nth term rule of the quadratic sequence below?
8
,
14
,
22
,
32
,
44
,
58
,
74
,
.
.
.

Answers

8=92
,10=134
‘9=i don’t know about this one

m ≥ 15 graph the inequality

Answers

Since the sign is greater than or equal to, it’s a closed circle. I think that means it has a solution. Draw your number line than draw a circle on the 15th line. Make sure the circle is shaded in. Then draw a n arrow a cross the number line, pointing to the right because this equation is say the variable m is greater than or equal to 15

Divide with long division:
(x^4+9x^3+9x+82) (x+9)^-1

Answers

Answer:

Step-by-step explanation:

Answer: Its simplifying to - x4+9x3+9x+82

x+9

Step-by-step explanation:

HELP PLEASE
which of these graphs represents the residuals for a scatter plot that is fit well by a linear model ?

Answers

Answer:

The Bottom right

Step-by-step explanation:

it looks more scattered, more varied compared to the other 3

The point (4, 5) is translated two units left and eight units down. What is the y-coordinate of the image?​

Answers

Answer:

the new coords are (2,-3) the new y coord is -3

Step-by-step explanation:

Step-by-step explanation:

Of course the new coordinates are (2,-3)

Hope it helps....

'cause you know better.....

what line is parallel to y=7x-4

Answers

Answer:

y=7x+2

Step-by-step explanation:

The equation that i gave you is parallel to the one you mentioned

y=7x-z
replace z with any number and it will be parallel

Michael sold 24 fruit bars for the band fundraiser he earned $18 for his band uniform how many more fruit bars would he need to sell on order to earn another $5.25

Answers

Answer:

New number of fruits sold = 7 fruits

Step-by-step explanation:

Given:

Total number of fruits = 24

Amount raised = $18

More amount need to earn = $5.25

Find:

New number of fruits sold

Computation:

New number of fruits sold = [24 / 18]5.25

New number of fruits sold = 6.9999

New number of fruits sold = 7 fruits

Light A flashes every 8 seconds.
Light B flashes every 20 seconds.
Both lights flash at the same time.
Work out how long it will take for both lights to flash at the same time
again.
ASAP

Answers

Answer:

it will take flash a to flash 5 times and flash b to only flash 2 times

Step-by-step explanation:

just trust me

Cans of tuna cost $3.00 for 6 ½ ounces. At that rate, how much would 104 ounces of tuna cost?

HELP FOR POSSIBLE BRAINLIEST!

Answers

Answer:

$48.00

Step-by-step explanation:

$3.00 / 6.5 oz = [unknown $] / 104 oz

unknown $ = 104 oz * $3.00 / 6.5 oz

unknown $ = 16 * $3.00 ((oz/oz cancels out))

unknown $ = $48.00

Answer:$48

6 1/2 = 6.5

Step-by-step explanation:

If $3.00 for 6.5 (6 1/2) ounces

(3 x 2 = 6) Then $6.00 is for 13 ounces

(3 x 10 = 30) then $30.00 is for 65 ounces

(3 x 15 = 45) then $45.00 is 97.5 ounces

(3 x 16 = 48) then $48.00 is 104 ounces.

If you multiply the dollars you will also have to multiply the ounces with the same number you multiplied with dollars.

Hope this helps

Mark brainlist if it helps.

Can someone help pls

Answers

(1.8k-5) + (k+1.5) + (3.5+6.1k) = 53.4
8.9k=53.4
k=6

HELP I NEED HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

The temperature at 3 a.m. was 3 1/2 degrees Fahrenheit. For the next 7 hours, the
change in temperature was 1 1/2 degrees per hour. Which statement correctly
interprets this situation? *
The equation 7(-1 1/2) = -10 1/2 means that the temperature at 10 am, was-10 1/2
degrees Fahrenheit.
The equation 7(-1 1/2) = -10 1/2 means that the temperature change from 3 a.m. to
10 a.m. was -10 1/2 degrees Fahrenheit.
The equation 7(-1 1/2) = 10 1/2 means that the temperature at 10 a.m. was 10 1/2
degrees Fahrenheit
The equation 7(-1 1/2) = 10 1/2 means that the temperature change from 3 a.m. to 10
a.m. was 10 1/2 degrees Fahrenheit.
My

Answers

Answer:

The equation 7(-1 1/2) = -10 1/2 means that the temperature change from 3 a.m. to  10 a.m. was -10 1/2 degrees

Step-by-step explanation:

Initially, the temperature was 3 1/2 degrees Fahrenheit at 3 a.m. From 3 a.m., the temperature change at 1 1/2 degrees per hour for the next 7 hours. This means that the temperature change in the next 7 hours is:

Temperature change = 7(-1 1/2) = -10 1/2

In the next 7 hours from 3 a.m. to 10 a.m., that is at 10 a.m. (3 a.m. + 7 hours), the temperature change was -10 1/2 degrees Fahrenheit.

Hence:

The equation 7(-1 1/2) = -10 1/2 means that the temperature change from 3 a.m. to  10 a.m. was -10 1/2 degrees

Algebra 2 , what’s the answer ?

Answers

Answer:

what are you looking for???

theres nothing to answer??

PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay

Answers

Answer:

$216 or $162    (see below)

Step-by-step explanation:

If it's 18% for 9 months (and not per year)

then

1200x0.18=$216

If it's 18% per year then

1200x0.18x0.75=$162

What is the value of c in the equation x^15/x^c =x^6

Answers

Step-by-step explanation:

[tex] \frac{ {x}^{15} }{ {x}^{c} } = { x}^{6} \\ {x}^{15 - c} = {x}^{6} [/tex]

15 - c = 6

15 - 6 = c

9 = c

c = 9

WILL GIVE BRAINLIEST, PLEASE ANSWER QUICKLY.
Match the original expression containing both fractions and decimals to its equivalent expression containing only
fractions.

Both fractions & decimals: ( ON THE LEFT OF PHOTO)
A. 3/5 x 2.75
B. 3/5 x 0.68
C. 3/5 x 0.8

Equivalent expression: (ON THE RIGHT OF PHOTO)
A. 3/5 x 4/5
B. 3/5 x 17/25
C. 3/5 x 11/4

Answers

A is with3/5 x 11/4
B is with 3/5 x 17/25
C is with 3/5 x 4/5

2 Monke + 2 Monke =

I'll give you 20 Monke points for this
20 Monke points = 10 brainly points​

Answers

Answer:

one monke plus two monke that's 4 monke

Answer:

MONKE SLAP

Step-by-step explanation:

-0.9y+4.4y-3.2y
I need it to be simplified!!!
Plz, help!

Answers

Answer:

0.3y

Step-by-step explanation:

-0.9y+4.4y=3.5y

3.5y-3.2y=0.3y

Nayeli buys some packs of rubber bracelets. There are 8 bracelets in each pack
how many packs of rubber bracelets does nayeli buy if she has the tota of 48

Answers

Answer:

Hey! Ok so the answer is 6.

Step-by-step explanation:

If 1 pack has 8 bracelets in each and she has 48 in total then you would have to divide the total to the number of bracelets in each pack so therefore 48 divided by 8 which is 6

Hoped this helped! Have an amazing day! Im Eve btw. also consider marking this brainliest thank you so much if you do!✨

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