a car drives at 45 km/h for 75 minutes how far does the car travel

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{9}{10}+\dfrac{7}{15}}[/tex]

[tex]\large\textsf{FIRST: FIND the LCD (Lowest Common Denominator) then solve}\\\large\textsf{from there!}[/tex]

[tex]\large\textsf{If you have calculated it correctly, you should have came up with \underline{\bf 30}}\\\large\textsf{as your LCD (Lowest Common Denominator).}[/tex]

[tex]\mathsf{= \dfrac{9\times3}{10\times3}+ \dfrac{7\times2}{15\times2}}[/tex]

[tex]\mathsf{9\times3=\bf 27}\\\mathsf{10\times3=\bf 30}\\\\\mathsf{7\times2=\bf 14}\\\mathsf{15\times2=\bf 30}[/tex]

[tex]\mathsf{= \dfrac{27}{30}+\dfrac{14}{30}}[/tex]

[tex]\mathsf{= \dfrac{27+14}{30}}[/tex]

[tex]\mathsf{27+ 14=\bf 41}\\\\\mathsf{30+0=\bf 30}[/tex]

[tex]\mathsf{= \dfrac{41}{30}}\large\textsf{ which you could convert to }\mathsf{1 \dfrac{11}{30}}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: }\bf \dfrac{41}{30} \large\textsf{ or }\mathsf{\bf 1 \dfrac{11}{30}\large\textsf{ because they both equal the same thing}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

https://linksharing.samsungcloud.com/ul5cX9oOmhzt

parabolas are there on my hand palms and it must be there on your hands too but why are you asking this question?

Answer:

im not sure but i do have a tip when you go to goo gle i want you to simplify your question (not what you asked on here) then copy your question as it is simple then search it on here because its slightly  for others to understand

Step-by-step explanation:

.

If y = x + 6√(x + 4), then

y' = 1 + 3/√(x + 4)

Substituting y and y' into the DE gives

(y - x) y' = (x + 6√(x + 4) - x) (1 + 3/√(x + 4))

… = 6√(x + 4) (1 + 3/√(x + 4))

… = 6√(x + 4) + 18

on the left side, while on the right you get

y - x + 18 = x + 6√(x + 4) - x + 18

… = 6√(x + 4) + 18

so both sides match and the given function is indeed a solution to the DE.

Answer:

Step-by-step explanation:

Answers:

longer leg = 12 meters

hypotenuse = 13 meters

==========================================================

Explanation:

Let's say the triangle has sides a,b,c such that a < b < c

Use the pythagorean theorem to solve for b

[tex]a^2 + b^2 = c^2\\\\5^2 + b^2 = (b+1)^2\\\\25 + b^2 = b^2+2b+1\\\\25 + b^2-b^2-2b-1 = 0\\\\-2b+24 = 0\\\\-2b = -24\\\\b = -24/(-2)\\\\b = 12[/tex]

The longer leg is 12 meters in length.

c = b+1 = 12+1 = 13

The hypotenuse is 13 meters long.

We have a 5-12-13 right triangle.

3 1/5 = y - 12/25

31/5+y = -12/25

31+y = -12/25×5

31+y = -12/5

y = -12/5-31

y = -143/5

y = -28.6

HOPE IT HELPS

============================================

Explanation:

Let x be the mass of the lead, and this mass is in kg.

The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.

The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.

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

We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x

6x = 90

6x/6 = 90/6 ..... dividing both sides by 6

x = 15

So we have 15 kg of lead

Side note: we also have 13x = 13*15 = 195 kg of copper.

Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt  where

A is the amount in the account

P is the principle

r is the interest rate

n is the number of times the interest is compounded per year

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

Answer:

https://brainly.com/question/24258518

Step-by-step explanation:

Answer:

rt3/2

Step-by-step explanation:

first off cosine is the x coordinate

now if you do't want to use a calculator, you can use use the unit circle.

360 - 330 = 30 (360 degrees is a whole circle)

a 30 60 90 triangle is made, then use the law for 30 60 90 triangles:

if the shortest leg is x, the other leg is x*rt3 and the hypotenuse is 2x.

Answer:

D

Step-by-step explanation:

cos 330 = cos (360-330)

= cos 30

= √3 /2

Answer:

280.8997

Step-by-step explanation:

cross section = 2*15*5+2*(25/360)*15*15*pi+5*(25/360)*2*pi*15

= 280.8997

Total surface area of prism is 280.890cm²

A solid object's surface area is a measurement of the overall space that the object's surface takes up, and it is always expressed in square units.

The term "surface area" is sometimes used to refer to "total surface area".

Find the sector angle in radians

α = 25× (π/180)

α = (25π)/(180) rad

Find the area of the prism:

A = 2×15×5 + 15×15×α + 5×15×α

A = 150 + 15×15×(25π)/(180) + 5×15×(25π)/(180)

A = 280.890cm²

To know more about total surface area please visit:

https://brainly.in/question/15911106

#SPJ2

Answer:

√29

Step-by-step explanation:

This is due to A^2+b^2=c^2. you know that side a and b are 2 and 5, so it beocmes 25+4/=c^2, which means that 29=c^2, and you root it to get rid of the power of 2, so you obtain c=√29

Answer:

41.375

Step-by-step explanation:

Given the sample data :

The estimate of the population mean from the sample data is given as :

Mean = ΣX / n

Mean = (12+67+25+62+33+38+34+47+53+16+11+97+46+32+62+27) / 16

Mean = 662 / 16

Mean = 41.375

Answer:

Step-by-step explanation:

I'm from the UK and I'm not familiar with a two column proof, but the following proves the converse.

Draw 2 right angled triangles with the 2 legs = a and b in each case and the longest side = c in one triangle and f in the other.

By Pythagoras a^2 + b^2 = c^2   (Given)

Also in the other triangle a^2 + b^2 = f^2,  if it is right-angled.

Therefore a^2 = f^2 and a = f.

So the 2 triangles are congruent by SSS.

So m < C  in one triangle = m < F  ( the angles opposite the hypotenuse)

Therefore the second triangle is right angled .

This completes the proof.

Step-by-step explanation:

Fractions represent equal parts of a whole or a collection. 

Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. 

a fraction has 2 parts

The number on the top of the line is called the numerator. It tells how many equal parts of the whole or collection are taken.  The number below the line is called the denominator.  It shows the total divisible number of equal parts the whole into or the total number of equal parts which are there in a collection. 

There are different types of fraction

Answer:

C.

Don't have time for explanation... just trust me

Answer:

a) 3.19

b) 3.29

c) 96.81

Step-by-step explanation:

Question a:

Levere's: 10.63s

Ross: 10.98s

10.98 - 10.63 = 0.35s shorter than 10.98s, so:

0.35*100%/10.98 = 3.19% shorter.

Question b:

35s longer than 10.63s, so:

0.35*100%/10.63 = 3.29% longer.

Question c:

3.19% shorter, so 100 - 3.19 = 96.81% of Ross.

Answer:

i believe it'll cost 200 dollars

Answer:

184.22

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Combine like terms

Subtract  4  from both sides of the equation

Simplify  

Subtract  5  from both sides of the equation

Simplify  

Divide both sides of the equation by the same term  

Simplify

Answer:

x=4

Step-by-step explanation:

Combine like terms:

2x+4=5x-8

2x+4-4=5x-8-4

Simplify:

2x=5x-12

2x-5x=5x-12-5x:

-3x=-12

Divide both sides by -3:

-3x/3=-12/-3

Answer:

x=4

Answer:

15/17

Step-by-step explanation:

sinA = CB/CA =15/17

Answer:

Step-by-step explanation:

Answer:

use test numbers to find where the function is a positive and where it is negative. sketch the function's graph, plotting additional points as guides as negative. choose test numbers to t the left and right of each of these places, and find the value of the function at each test number.

Answer:

C

Step-by-step explanation:

the answer is C because only C contained it's correct root and power

Answer:

x=6

Step-by-step explanation:

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

Check solution

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Solution is valid

sqrt (2x-3) = sqrt (3x-9)

Square each side

(sqrt (2x-3))^2 = (sqrt (3x-9))^2

2x-3 = 3x-9

Subtract 2x from each side

2x-3-2x = 3x-2x-9

-3 = x-9

Add 9 to each side

-3+9 = x-9+9

6 =x

sqrt (2*6-3) = sqrt (3*6-9)

sqrt (9) = sqrt (9)

3=3

Therefore ans x = 6

Answered by Gauthmath must click thanks and mark brainliest

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

.08x600=48

Answer:

Step-by-step explanation:

total patients = 600

% of patients had eye surgery = 8%

Number of patients that had eye surgery ?= x

% of pt that had eye surgery =  no. of pt that had surgery/ total number of pt

8/100= x/600

x=(8x600) /100

x= 4800/100

x= 48

Number of patients that had eye surgery were 48

Answer:

GHC22.5

Step-by-step explanation:

90/3=30

30=0.75

30×0.75

=22.5