Solve one from group b pls show work and steps

[tex]\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}[/tex]

[tex]\\ \sf\longmapsto 7(x+7)=5(x-5)[/tex]

[tex]\\ \sf\longmapsto 7x+49=5x-25[/tex]

[tex]\\ \sf\longmapsto 7x-5x=-25-49[/tex]

[tex]\\ \sf\longmapsto 2x=-74[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-74}{2}[/tex]

[tex]\\ \sf\longmapsto x=-37[/tex]

Answer:

Four

Step-by-step explanation:

13- 5= 8

8/2=4

You simply do the problem in reverse.

Answer:

The number is 4

Step-by-step explanation:

Let the number = x

Double of x = 2*x = 2x

Then add 5 to it: 2x +5

2x +5 = 13

Subtract 5 form both side

2x + 5 - 5 = 13 - 5

         2x = 8

Divide  both sides by 2

       x = 8/2

x = 4

Answer:

Step-by-step explanation:

1: x=5

2: x=2

3: x = 3

4: x=5

5: x=3

6: x=4

7: x=37

Answer: 407.67

Explanation:

(8.11×107)–(4.3×107) =

(8.11)(107)−(4.3)(107) =

         407.67

Answer:

1st one

Step-by-step explanation:

it is by multiple of 5 withthe words inside bracket.

Answer:

52

+38

=90

-9

=81

so the answer is=81

Answer:

[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]

Answer:

-15

Step-by-step explanation:

the number is N

N - 9 = -24

N = -15

Answer:

the answer is 33

Step-by-step explanation:

-24 + 9 = -33

all my digits are different

-my ones digit is 4 times my hundreds digit

- my thousands digit is a perfect square

-my ones digit is 3 more than my tens digit

what number am I?

Answer:

0, 8

Step-by-step explanation:

To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.

Decimal to Fraction

Converting any terminating decimal into a fraction is fairly straightforward. You count the number of decimal places, move the decimal point that number of places to the right, and put the resulting number over "1" followed by that number of zeroes.

For instance:

Convert the decimal 0.7 into a fraction.

This decimal has one decimal place, so I move the decimal point one place to the right, to get 7. Then I put this over "1" followed by one zero (otherwise known as "10") to get: 7/10

​

Step-by-step explanation:

Step-by-step explanation:

Σfx = 60+45a

Σf = 12+9a

Now

Mean =Σfx/Σf

= 60+45a/12+9a

=105/21 (a has been canceled)

=5

Therefore mean =5

Answer:

Step-by-step explanation:

It is rational because it doesn't have infinite decimals

Step-by-step explanation:

20/40 is same as 20÷40 which reduces to 1/2.

Answer:

Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

2x=y+3

2x-3=y

Answer:

[tex] = \frac{1}{5} {x}^{2} [/tex]

Answer:

Step-by-step explanation:

Ok so u can’t divide a decimal with a whole number so u have to move the decimal poin from the 8 twice so it’s on the other side of the 8 and then there shouldn’t be any zeros before the 8 now divide 296 by 8 and instead of leaving the whole number like that u have to add the decimal point to it. So it should look like this 296.00 and then u can divide which is 3,700 hope this helped <3

Answer:

-10x-28

Step-by-step explanation:

-

Answer:

g(-4) = 20

Step-by-step explanation:

g(x) = x^2 - x when x = -4

~Substitute

= (-4)^2 - (-4)

~Simplify

= 16 + 4

= 20

Best of Luck!

Answer:

factors of 15 are 3 and 5, because 3×5 = 15. Some numbers have more than one factorization (more than one way of being factored).

Step-by-step explanation:

The given statement, "If 3 and 5 are factors of a number, then

15 is a factor of the number", is true as the lowest common multiple of 3 and 5 is 15.

A number x is said to be a factor of another number y when y/x leaves a remainder = 0.

In the question, we are asked that if 3 and 5 are factors of a number, then will 15 also be a factor of that number.

The smallest number with the factors 3 and 5 is 15, as the lowest common multiple of 3 and 5 is 15. Hence, the number we are looking for is a multiple of 15, that is, 15 is a factor of that number.

∴ We can say that any number having factors 3 and 5, will have a factor of 15. Hence, the given statement is true.

Learn more about factors of a number at

https://brainly.com/question/219464

#SPJ2

Answer: The student would get 70% credit.

The student’s overall grade would be

Step-by-step explanation:

Answer:

None

Step-by-step explanation:

sorry don't know how to delete this

Hi! I'm happy to help!

The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.

We use subtraction to solve for the difference:

5/6-1/4

To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.

The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.

We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.

10/12-1/4

Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.

10/12-3/12

You never subtract denominators, only numerators. Now, all we have to do is 10-3:

10/12-3/12=

7/12

So, you would have 7/12 cup of cocoa left over if you made the cookies.

I hope this was helpful, keep learning! :D

Step-by-step explanation:

So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.

So:

Answer:

The route will take 15 minutes to get to work taking the back roads.

Hope this helps!

Answer:

[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]

Answer:

1

Step-by-step explanation:

5t = 5

divide equation by 5 to get rid of it

t = 1

This is because 5t means "5 times t". The t is a placeholder for a number.

To solve for t, we divide both sides by 5

5t = 5

5t/5 = 5/5

t = 1

Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.

You can re-write this quotient this way :

[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]

What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))

In other word we must find x so that :

[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]

at the end we get

28(x-1) ≥ 0

28x - 28 ≥ 0

28x ≥ 28

x ≥ 1

So the answer is B, x ≥ 1

Q/ True or False

4. Ans ; False —> because

[tex] \frac{2 \times 3.5}{3 \times 3.5} = \frac{7}{10.5} [/tex]

Or; 2/3= 0.6 , 7/16= 0.43 so no equal

5. True —> because

[tex] \frac{5 \times 9.6}{15 \times 9.6} = \frac{48}{144} [/tex]

Or; 5/15=0.33 , 48/144 = 0.33 so equal

6. True —> because

[tex] \frac{12 \times 1.5}{28 \times 1.5} = \frac{18}{42} [/tex]

Or; 12/28=0.4285 , 18/42=0.4285 so equal

Q/ value " x "

7. Ans;

[tex] \frac{3}{6} = \frac{x}{8} \\ 6x = 8 \times 3 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4[/tex]

8. Ans;

[tex] \frac{52}{x} = \frac{4}{1} \\ 4x = 52 \\ x = \frac{52}{4} \\ x = 13[/tex]

9. Ans;

[tex] \frac{15}{12} = \frac{10}{x} \\ 15x = 10 \times 12 \\ 15x = 120 \\ x = \frac{120}{15} \\ x = 8[/tex]

10. Ans;

[tex] \frac{18}{x} = \frac{2.4}{28} \\ 2.4x = 28 \times 18 \\ 2.4x = 504 \\ x = \frac{504}{2.4} \\ x = 210[/tex]

11.Ans;

[tex] \frac{3}{4} = \frac{x}{3.8} \\ 4x = 3.8 \times 3 \\ 4x = 11.4 \\ x = \frac{11.4}{4} \\ x = 2.85[/tex]

12. Ans;

[tex] \frac{x}{12} = \frac{2 \frac{1}{3} }{5} \\ \frac{x}{12} = \frac{ \frac{7}{3} }{5} \\ \\ \frac{x}{12} = \frac{7}{3} \div 5 \\ \\ \frac{x}{12} = \frac{7}{3} \times \frac{1}{5} \\ \\ \frac{x}{12} = \frac{7}{15} \\ \\ 15x = 12 \times 7 \\ 15x = 84 \\ \\ x = \frac{84}{15} \\ \\ x = 5.6[/tex]

Q/ Write each ratio

1.Ans;

[tex] \frac{30 \: ft}{60 \: ft} = \frac{30 \: ft \: \: \div 30}{60 \: ft \: \: \div 30} = \frac{1 \: ft}{2 \: ft} [/tex]

2. Ans;

[tex] \frac{45 \: mph}{25 \: mph} = \frac{45 \: mph \: \div }{25 \: mph \div 5} = \frac{4 \: mph}{5 \: mph} [/tex]

3. Ans;

[tex] \frac{6 \: min}{16 \: min} = \frac{6 \: min \: \div2 }{16 \: min \: \div 2} = \frac{3 \: min}{8 \: min} [/tex]

4. Ans;

[tex] \frac{300}{450} = \frac{300 \div 150}{450 \div 150} = \frac{2}{3} [/tex]

5. Ans;

[tex] \frac{48 \: gal}{14 \: min} = \frac{48 \: gal \div 2}{14 \: min \div 2} = \frac{24 \: gal}{7 \: min} [/tex]

6. Ans;

[tex] \frac{21 \: fem}{61 \:mal } = \frac{21 \: fem \div 3}{51 \:mal \div 3} = \frac{7 \: fem}{17 \: mal} [/tex]

7. Ans;

[tex] \frac{4.2}{36} = \frac{4.2 \div 12}{36 \div 12 \: pot} = \frac{0.35}{3 \: pot} [/tex]

8. Ans;

[tex] \frac{72 \: correct}{96 \: questions} = \frac{72 \: correct \div 24}{96 \: questions \div 24} = \frac{3 \: correct}{4 \: questions} [/tex]

Q/Find the unit rate

9.Ans;

[tex] \frac{1500 \: m}{6 \: s} = \frac{250 \: m}{1 \: s} [/tex]

10. Ans;

[tex] \frac{192 \: mil}{6 \: gal} = \frac{32 \: min}{1gal} [/tex]

11. Ans;

[tex] \frac{20 \: people}{5 \: cars} = \frac{4 \: people}{1 \: cars}[/tex]

12.Ans;

[tex] \frac{36}{4 \: lbs} = \frac{9}{1 \: lbs} [/tex]

I hope I helped you^_^