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Marat540 [252]
3 years ago
13

a car travels 1/2 of the distance between two cities in 3/5 of an hour .at this rate what fraction of the distance between the t

wo cities can the car travel in 1 hour
Mathematics
2 answers:
Mashcka [7]3 years ago
8 0
Remark
The easiest way to do this is to set up a proportion. But be careful how you do it.

Call the distance d
1/2 d / 3/5 hour = x * d / 1 hour
 
Divide both sides by d
1/2 // 3/5 = x / 1    Cross multiply
1/2 * 1 = 3/5 x       divide by 3/5
\frac{ \frac{1}{2} }{ \frac{3}{5} }

Invert the bottom fraction and multiply.
\frac{1}{2} *  \frac{5}{3} =  \frac{5}{6}       
The answer is 5/6 of the distance will be covered in 1 hour.

Kryger [21]3 years ago
7 0
By proportion this is  1/2 *  1 / 3/5  = 1/2 * 5/3 =  5/6 of the distance.
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The length of one leg of a right triangle is 8 centimeters shorter than the
ra1l [238]

{34}^{2}  +  {b}^{2}  = {42}^{2}  \\ 1156 + {b}^{2}  = 1764 \\ 1156 - 1156 +  {b}^{2}  = 1764 - 1156 \\  {b}^{2}  = 608 \\  \sqrt{ {b}^{2} }  =  \sqrt{608}  \\ b = 24.7
I used the Pythagorean formula, which is a² + b² = c².
a² and b² are the two side legs while c² is the hypotenuse.
One of the side is 42 - 8 = 34 cm.

3 0
3 years ago
M×10-m×2=8 fill in the blanks as m
son4ous [18]
M*10-m*2=8
10m-2m=8
8m=8
Divide both sides by 8:
m=8

Fill in the m's:
1*10-1*2=8
10-2=8
8=8

Hope this helps :)
5 0
3 years ago
(x + y + 2)(y + 1)<br> Solve
RideAnS [48]

Hello there! We are given the following equation and want to simplify it:

(x+y+2)(y+1)

First, let's use the Distributive Property:

  • (a+b)(c)=ac+bc

For this step, we are going to let:

  • a=y
  • b=1
  • c=(x+y+2)

After applying this version of the Distributive Property, we are given the equation:

(y)(x+y+2)+(1)(x+y+2)

We're going to use the distributive party again, but a slightly different version that's almost the same as first:

  • (a)(b+c+d)=ab+ac+ad

Using this on both terms of the equation changes the equation to:

(xy+y^2+2y)+(x+y+2)

Now, we just remove the parenthesis and combine like terms

y^2+3y+xy+x+2

This should be your answer. Let me know if you need any clarifications, thanks!

~ Padoru

6 0
2 years ago
Will mark brainliest! The triangles shown below must be congruent, true or false
olchik [2.2K]
True because they have the same size angles
8 0
3 years ago
Read 2 more answers
Please help!<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B4.2%7D%7B7%5Cfrac%7B5%7D%7B7%7D%20%7D%20%3D%20%20%5Cfrac%7B3%5C
emmasim [6.3K]

Answer:

d = 40/7

Step-by-step explanation:

Solve for d:

0.544444 = 28/(9 d)

0.544444 = 49/90:

49/90 = 28/(9 d)

49/90 = 28/(9 d) is equivalent to 28/(9 d) = 49/90:

28/(9 d) = 49/90

Take the reciprocal of both sides:

(9 d)/28 = 90/49

Multiply both sides by 28/9:

Answer:  d = 40/7

5 0
3 years ago
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