If im going 30 km per hour and i need to go 500 metres how long would it take

Rational expressions are expressions that can be represented as fractions

The solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

The student operation is given as:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac { 5 x } { x + 7 } + \frac { 7 ( 7 ) } { x + 7 } = \frac{5x + 49}{x + 7}[/tex]

The student's error is that, he multiplied the numerator of 7/x by 7, and he added 7 to the denominator

The correction is as follows:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x }[/tex]

Take the LCM

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7(x + 7)}{(x + 7)x}[/tex]

Open the brackets

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Hence, the solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Read more about rational expressions at:

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Answer:

27. x=7/20; 28. m= 3.7; 29. a= 5.8

30. x= 6; 31.x= 46

Step-by-step explanation:

27.

[tex]x + \frac{2}{3} = \frac{9}{ 10} [/tex]

you are going to carry the 2/3 over the equal sign. This will make the 2/3 negative so...

[tex]x = \frac{9}{10} - \frac{2}{3} [/tex]

now calculate it by finding the LCM of 10 and 3 ....this will be 30....you can just multiply the 10 and 3

now

30 into 10 goes 3 times....you will multiply this 3 with the 9 to get 27

30 into 3 goes 10 times...you will multiply this 10 with the 2 to get 20

[tex]x = \frac{27 - 20}{30}[/tex]

[tex]x = \frac{7}{30} [/tex]

Hopefully you understand

28.

[tex]1.2 = m - 2.5[/tex]

[tex]1.2 + 2.5 = m[/tex]

carry the 2.5 over the equal sign to get the m by itself...this is because you are trying to find m

when the negative number goes over the equal sign it will become positive...this is why you add it to the 1.2

m= 3.7

you can do the other on your own

the error in 30 is that the 7 should not be added to the 13 but subtracted

..this is because when you carry the positive number over the equal sign it will become negative..hence you subtract it

[tex]x + 7 = 13[/tex]

[tex]x = 13 - 7[/tex]

[tex]x = 6[/tex]

and for 31...the 12 should not be subtracted but added since when it goes over the equal sign it will become positive.

[tex]34= y - 12[/tex]

[tex]34 + 12 = y[/tex]

[tex]y = 46[/tex]

Answer:

b no solution

Step-by-step explanation:

there is no solution

Answer:

The answer is B

Step-by-step explanation:

And B is no solution.

Hope this helps!

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

Explanation:

Focus on the outer ring of numbers only.

The left arm of the angle points at 140. The right arm points at 15. The difference of which is 140-15 = 125

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

Alternatively, focus on the inner ring of numbers only.

The left arm points at 40 and the right arm points at 165.

165-40 = 125

We get the same answer as before.

Answer:

Step-by-step explanation:

Hello!

140 -15 =>125°

Answer:

300

Step-by-step explanation:

To get from 120% to 100% you divide by 1.2  360/1.2=300 :)

Answer:

Volume of a cylinder : πr^2h

: π = 22/7

: r = 9

: h = 20

: 22/7 × 9^2 × 20

: 5091.4 (corrected to 1.dp )

Answer:

  5089.4 cm³

Step-by-step explanation:

You want the volume of a cylinder with radius 9 cm and height 20 cm.

The volume of a cylinder is given by the formula ...

  V = πr²h

For r = 9 cm and h = 20 cm, the volume is ...

  V = π(9 cm)²(20 cm) = 1620π cm³

The value you get for this depends on the value you use for π. The attachment shows the three common choices: "π button", 3.14, 22/7.

Using the "pi button" value provided by a calculator, the volume is ...

  5089.4 cm³

<95141404393>

Answer:

mean and range

arrangement before: 24,25,25,26,27

arrangement after: 24,25,25,25,26,27,28

mean before: (27+25+24+26+25)/5 = 25.4

mean after: (27+25+24+26+25+25+28))/5 = 25.7

median before: 25

median after: 25

mode before: 25

mode after: 25

range before: 24 to 27

range after: 24 to 28

hence, the mean and range were affected while the median and mode remained unchanged.

Answer:

x= -1/6

Step-by-step explanation:

x-5/6 = -1

Add 5/6 to both sides

x = - 1/6

Answer:

So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.

Step-by-step explanation:

Above

Please Mark brainliest if this helped i need 3 more!

Answer:

2:14 or 3:21

Step-by-step explanation:

because u multiply

ayooo im on a time crunch too, i get you man

the complete factors are (x+11)(x-11)

(x+11) (x-11)

11 and 11 make 121

The equation illustrates that the temperature by 11:30 am will be 2 degree Celcius.

It should be noted that there are 3 hours and 30 minutes from 8 am to 11.30 am.

Therefore, the temperature by 11:30 will be:

= -5 + 2(3.5)

= -5 + 7

= 2°

In conclusion, the correct option is 2°.

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The volume of the prism, when it is dilated by a scale factor of 3 changed as 7290 meter cube.

The dilation of the solids is the change of the size of it with a factor, by which it is bigger or smaller from original shape.

Given information-

The volume of the prism is 270 meter cube.

The scale factor of dilation is 3.

As the volume of the prism is 270. The dilation is done by the scale factor of 3. Thus the change in the shape for three dimensions is,

[tex]\Delta =3^3\\\Delta=27[/tex]

Now the volume of the prism is 270. To find the volume of the dilated prism, multiplied 27 by the volume of given prism. Thus the volume of the dilated prism is,

[tex]V_d=27\times270\\V_d=7290\rm m^3[/tex]

Hence, The volume of the prism, when it is dilated by a scale factor of 3 is 7290 meter cube.

Learn more about the dilation of solids here;

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Answer:

machikne up girls i will help you 4 cubic centimeter are in the completed display

Answer:

y = 4x - 57

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~

( 15 , 3 )

( 19 , 19 )

m = [tex]\frac{19-3}{19-15}[/tex] = 4

y - 3 = 4 ( x - 15 )

y = 4x - 57

Answer:

600.

Step-by-step explanation:

Hope this helps!

Answer:

6

Step-by-step explanation:

[tex] \frac{2}{5} \times 15 = 6[/tex]

[tex]15\div5\times2=6\:or\:15\times\dfrac{2}{5}=6 \\\text{Answer: 6}[/tex]

Answer: 8 60 70 i think if i am wrong pls let me know ty :D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

4) Subtract 7 - 6 because is shows the difference between the two numbers.

Answer: Not fair

Step-by-step explanation: Since the fractions and rations are unbelievably rigid, this question is no doubt going to the creaser side.

Answer:

try using a graphing calculator.

Step-by-step explanation:

I know this doesn't really answer your question, but it gets you closer to the answer. Just put your problem into go-ogle, and go-ogle should spit out a graph with the answers of x and y right on it.

Answer:

I think that the answer is d=-7

Step-by-step explanation:

-3(z-7)

-3z+21

z=-7

Answer: The possible numbers of fruit snacks that were in the bag  is x < 18

Step-by-step explanation: Good luck :D

Answer:

4x3/4=3

Step-by-step explanation:

Multiplication(Do the multiplication first): 4x3/4=12/4=3

Division(Do the division first): 4x0.75=3

Hope this helped! Please give Brainliest if possible.

Answer:

9.5 mm

Step-by-step explanation:

They gave the diameter, and we needed to find the radius

r = d × 1/2

r = 19 × 1/2

r = 9.5 mm