WILL MARK BRAINLIEST IF
- Answer is correct


- Answer is detailed



WILL NOT MARK BRAINLIEST IF:


-Answer contains links


-Answer not detailed


-Answer incorrect



(P.s: must be 2 answers pls)

Thanks

WILL MARK BRAINLIEST IF- Answer Is Correct- Answer Is DetailedWILL NOT MARK BRAINLIEST IF:-Answer Contains

Answers

Answer 1

Answer: 65£40625

Step-by-step explanation:

We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.

Now, applying the discount. To apply a discount x to some value y:

x - xy, where x = original value, y = discount.

So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.

So, (100625)(0.065) gets us to to 6540.625p = 65£40625.

Answer 2

The First step to this problem is to find how much oil He needs.

In order to do that, we have to subtract 1400 L by 150 L

1400-150=1250

The second step to this problem is to calculate the total price (p) of the Oil that is needed

In order to do that, we have to find the price of the oil per liter which is 80.5p

Take out the P so it won't be hard

80.5x1250=100625p

The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction

100635x6.5/100= 6541.275p

So, the answer is  6541.275

I hope this helps, if it's wrong plz blame me

Have a nice day (:


Related Questions

The price of an item has been reduced by 45%. The original price was $60. What is the price of the item now?

Answers

Answer:

the answer to the question is 15$

Which statement is necessarily true if is an altitude to the hypotenuse of right ?

Answers

Step-by-step explanation:

it's b

i relly don't know cause theres no image

Chau needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69. Find the unit price for each brand. Then state which brand is the better buy based on the unit price. Round your answers to the nearest cent.

PLEASE HELP!!!!
ASAP!

Answers

Answer:

The answer for Brand A is 0.09 because if you divide that would be you answer.

Brand B the answer is 0.10 how you do it is the same you divide and this is you answer.

Step-by-step explanation:

PLEASE I NEED HELP, ILL MARK AS BRAINLIEST!!

Raul  is filling a 55 gallon fish tank with water. There are 18.5 gallons of water in the take 2.5 gallons of water flows from the hose each minute how many gallons of water are in the fish tank after 12 minutes

Answers

Answer:

All you do is multiply 2.5 x 12

Step-by-step explanation:

multiplying both numbers gets you a toltal of 24.60 or 24.6

ABC is a triangle. AC=19cm, BC=17cm and angle BAC=60

Answers

Answer:

In the picture

Step-by-step explanation:

it's an acute triangle

more information in the picture

A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.

Answers

The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.

Given :

College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.

The following steps can be used in order to determine the constraints to represent the incoming students at the college:

Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.

Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:

[tex]y = 2x[/tex]

Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:

[tex]0<x \leq 200[/tex]

Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:

[tex]0<y \leq 400[/tex]

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/19491153

22/7 x 1.4

Plz explain this step by step

Answers

Answer:

22/5 (or) 4.4

Step-by-step explanation:

22/7 × 1.4

=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10

=22/7 × 14/10 <-- now you can cancel out as usual

=22/5 (or) 4.4


Anna and Sam each want to run for president of their school's student body council. In order
to do so, they must collect a certain number of signatures and get a nomination. So far, Anna
has 20 signatures, and Sam has 25. Anna is collecting signatures at an average rate of 6 per
day, whereas Sam is averaging 5 signatures every day. Assuming that their rate of collection
stays the same, eventually the two will have collected the same number of signatures. How
long will that take?
Time
elapsed
Write a system of equations, graph them, and type the solution.

Answers

Answer:

6x+20=5x+25

5 days

Step-by-step explanation:

Let x = the days that they have the same amount of signatures

We know Anna has 20 currently and gets 6 per day, so we can use y=mx+b to describe her linear relationship.

We also know that Sam has 25 and gets 5 per day, so we can again use y=mx+b to describe his linear relationship.

Since both equations equal the variable y, we can say they equal each other and set up 6x+20=5x+25.

Then you subtract 20 from both sides and subtract 5x, so you are left with x =5, or 5 days until they have the same amount of signatures

Hope this made sense :D

I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?​

Answers

100 cm= 1 meter 1,000 cm=meter
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.

Find the value of each variable in the given figures

Answers

Answer:

q = 22

Step-by-step explanation:

(7q - 46)° + (3q+6)° = 180 (linear pair property)

7q - 46 + 3q + 6 = 180

10q - 40 = 180

10q = 180 + 40

10q = 220

q = 220/10 = 22

m∠ABD = (7q - 46)° = 7(22) - 46 = 154 - 46 = 108°

m∠DBC = (3q + 6)°  = 3(22) + 6 = 66 + 6 = 72°

simplify (89^6x91^3)^0

Answers

i dont know but i do know that OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO

Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent

Answers

Here are all of the blanks filled in:

1. (Statement) AC is the perpendicular bisector of BD.

3. (Statement) BC is congruent to DC. (Reason) Definition of Congruence.

4. (Reason) Definition of a perpendicular bisector.

5. (Reason) Right Angles are Congruent.

6. (Statement) AC is congruent to AC.

7. (Statement) Triangle ABC is congruent to Triangle ADC. (Reason) SAS Congruence Theorem

Hope this helps!

How many solutions does the equation 6(x -2) = 8 + 6x have?

Answers

Answer:

There are no solutions.

Step-by-step explanation:

First simplify the equation.

6(x - 2) = 8 + 6x

Distribute.

6x - 12 = 8 + 6x

Adding 8 to a number and subtracting 12 from the same number to get the same answer doesn't make sense so there are no solutions.

From a can containing 10 liters of milk, mrs menon used 3.8 litres in the morning and 2.3 litres in the evening how many hectolitres of milk is in the can?


Plz write the steps cause i want to understand it bcuz tomorrow is my exam

Answers

Answer:

0.039 hectolitres are left in the can

Step-by-step explanation:

One hectolitre equals 100 liters

The can:

10-3.8-2.3=3.9 liters

In hectolitres:

3.9/100 = 0.039

Hope this helps

a)
3
NIX 01/x
b
b)
=
= 8.5

Answers

Answer:

a = 8.5  

Step-by-step explanation:

THE AREA OF A LAKE ON THE MAP IS 12CM SQUARE CALCULATE THE ACTRUAL AREA OF THE LAKE IN KM
SQUARE

Answers

Answer:

if 1cm is for 1km there are 12km

Step-by-step explanation:

it can depend on the size of the map but if there is a scale which shows how many km per cm then multiply by 12

Use <, >, or = to make the
statement true.
20[?]-1

Answers

Answer:

20 > -1

Step-by-step explanation:

Well 20 is a positive integer that is 20 units from 0 whereas -1 is a negative integer that is 1 unit behind zero.

Boris made $306 for 18 hours of work. At the same rate, how many hours would he have to work to make $119?

Answers

in order to make 119$ he would need to work 7 hours

Answer:

[tex]18 = 306 \\ x = 119 \\ \\ 306x = 2142 \\ x = \frac{2142 }{306 } \\ x = 7[/tex]

(3^3 times 6^6)^-3 in fraction form

Answers

Use cymath! It's free to use and can easily help you with math like this.

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

[tex]\mathsf{(3^3 \times6^6)^{-3}}\\\\\mathsf{3^3}\\\mathsf{=3\times3\times3}\\\mathsf{= 9\times3}\\\mathsf{= 27}\\\\\mathsf{(\bold{27}\times6^6)^{-3}}\\\\\mathsf{6^6}\\\mathsf{= 6\times6\times6\times6\times6\times6}\\\mathsf{= 36\times36\times36}\\\mathsf{= 1,296\times36}\\\mathsf{= 46,656}\\\\\mathsf{(27\times \bold{46,656)}^{-3}}\\\\\mathsf{= \dfrac{1}{1,256,712\times1,256,715\times1,259,712}}\\\\\mathsf{=\dfrac{1}{1,999,004,627,104,432,128}}[/tex]

[tex]\large\text{Therefore, your answer is: }\mathsf{ \dfrac{1 }{1,999,004,627,104,432,128}\ }}}\huge\checkmark[/tex]

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

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

ok i rly need help w this PLZ HELPPP

1. 2(x−4 1/2)=−6.
2. 3(p+2.55)=9 3/4

Answers

Answer:

1)x=1.5

2) p=0.7

Step-by-step explanation:

I don't know the answer to y=48,000(1-13.2)6

Answers

Me neither but you can use a calculator

If you can help, I’ll give brainliest

Answers

Answer:

sum of interior angles =180×3= 540°

m<F= 540-105-113-107-87

=128°

m<F= 128°

Choose the correct transformation.

Answers

A, rotated then reflected

A river flows at the rate of 12 feet per minute. What is the rate in second per foot?

Answers

Answer: 1/5 or 0.2 in decimal form.

Explanation:

There are 60 seconds in a minute. We know the river flows 12 ft per 1 minute. So in order to find the rate per seconds, divide: 60/12. You get the answer: 1/5 or 0.2 in decimal form.

i dont know someone help pls

Answers

Answer:

The answer is $242

Step-by-step explanation:

We can set up two equations for this one:

286 = 13 * (rate per hour)

divide both sides by 13:

22 = rate per hour

Then knowing her rate per hour is 22 dollars

22 * 11 hours of work = $242

At the same rate she will make $242 in 11 hours.

Kala made $286 for 13 hours of work . Therefore, let's find the rate.

What is rate:

Rate is simply the ratio between two values with different units. In our case, its the amount made in dollars versus the time taken to make that amount.

Therefore,

rate = amount made(dollars)/ time taken(hours)

rate = 286 / 13

rate = 22 dollars per hour

At the same rate the amount she will make in 11 hours can be calculated as follows:

rate  = amount / 11

22 = amount(dollars) / 11

cross multiply

amount(dollars) = 22 × 11

amount(dollars) = $242

learn more on rate here: https://brainly.com/question/8062121?referrer=searchResults

The area of a rhombus is 40 sq cm and one of its diagonals is 8 cm long. Find the length of the other diagonal.​

Answers

Answer: The length of the other diagonal is 10 cm...

So the diagonal formula is -  1/2* (d1*d2) d1 is the first diagonal and d2 is the second diagonal.

So,

1/2 * (8*d2) = 40

8d2= 40*2

d2= 80/8

d2= 10

I really tend this answer fast

Answers

Answer:9.1 units

Step-by-step explanation: Hope you get it right :D

Write an equation for a line that passes through (2,5)
and (6, 7).

Answers

Answer:

y=2x-9

Step-by-step explanation:

how do I do this question?

Answers

Answer:

x = (y +2)/3

Step-by-step explanation:

y= 3x-2

y+2=3x

x=(y +2)/3

Someone help pleaseeeee

Answers

Answer:

[tex]1. \: \: \: a = \frac{5}{7} \\ 2. \: \: \: 4 \\ 3. \: \: \: 15 {x}^{2} + 60x + 135 \\ 4. \: \: \: m = {75}^{o} \\ [/tex]

Step-by-step explanation:

[tex]1. \: \: 7a - 8 = 13 \\ 7a - 8 + 8 = 13 + 8 \\ 7a = 5 \\ \frac{7a}{7} = \frac{5}{7} \\ a = \frac{5}{7} \\ [/tex]

[tex]2. \: \: \: 4 = 2 \times 2 \\ 8 = 2 \times 2 \times 2 \\ 4 \\ [/tex]

[tex]3. \: \: \: 15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\15 (x + 3)(x + 3) \\ 15 |x(x + 3) + 3(x + 3)| \\ 15 ({x}^{2} + 3x + 3x + 9 )\\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 60x + 135 \\ [/tex]

[tex]4. \: \: \: m = {75}^{o} (opposite \: angles)[/tex]

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