MATHEMATICS HIGH SCHOOL

For the equation: 6a-(2a+4)=11-3(a-2), what is the value of a ?

Answers

Answer 1

Answer:

Answer:

a = 7/2

Step-by-step explanation:

Step 1: Write equation

6a - (2a + 4) = 11 - 3(a - 2)

Step 2: Solve for a

Distribute: 5a - 2a - 4 = 11 - 3a + 6
Combine like terms: 3a - 4 = 17 - 3a
Add 3a to both sides: 6a - 4 = 17
Add 4 to both sides: 6a = 21
Divide both sides by 6: a = 7/2

Answer 2

Answer:

Final answer:

The variable 'a' in the given equation is 3. First, simplify both sides of the equation, then isolate 'a' by adding and subtracting the same terms on both sides. Finally, divide to find 'a'.

Explanation:

The first step to solve the equation 6a-(2a+4)=11-3(a-2) is simplifying both sides. On the left-hand side, distribute the negative sign into the parenthesis, resulting in 6a - 2a - 4. Simplifying this gives 4a - 4. On the right-hand side, distribute the negative 3 into the parenthesis, resulting in 11 - 3a + 6. Simplifying this gives -3a + 17.

So, the simplified equation is 4a - 4 = -3a + 17. To isolate the variable a on one side, add 3a to both sides to get 7a - 4 = 17. Then add 4 to both sides to get 7a = 21. Finally, divide both sides by 7 to get a = 3.

Learn more about Solving Equation here:

brainly.com/question/18322830

#SPJ2

Related Questions

The perimeters of similar triangles are in the same ratio as the corresponding sides. a. True b. False
Round each decimal of 28.6 to the ones place
An experiment compares weight of fish for two different brands fish food. Nacho Average Minosfish food has a mean fish weight 10 lbs. and a standard deviation of 1.5 lbs. Impossible Minos fishfood has a mean fish weight of 12 lbs. and a standard deviation of 1 lb. A fish is measured to be11.25 lbs. Which brand of fish food, Nacho Average Minos or Impossible Minos, is more likely to havebeen used to feed this fish?
trevon spent 8 hours and 15 minutes at an amusement park yesterday he spent 75% of the time at the park about how much time did he spend on rides
What values of b satisfy 3(2b + 3)2 = 36?

Anna is following this recipe to make biscuits.Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate

Answers

Answer:

130

Step-by-step explanation:

Read these lines of poetry: O say, can you see, by the dawn's early light,
What so proudly we hailed at the twilight's last gleaming?

In which poem do these lines appear?

A.
"The Star-Spangled Banner"

B.
"This Land is Your Land"

C.
"I Hear America Singing"

D.
"America the Beautiful"

Answers

the answer would be A. that is our national anthum

Answer:

A "The Star-Spangled Banner" (Our National Anthem)

Step-by-step explanation:

Express each number in standard form
-9.5x10-3
This is 10 to the -3 power

Answers

$-9.5*10^(-3)=-9.5*0.001=-0.0095$

PLease help me with this i am having soo much truble with itA family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built?
a. 38x2
b. 42x2 – 4x2
c. 42x2 – 2x2
d. 38x2

Answers

Area of a rectangular yard:
A 1 = L x W = 7 x * 6 x = 42 x²
Area of a pool :
A 2 = r² π = ( 2 x )² π = 4 x² π
A = A 1 - A 2 = 42 x² - 4 x² π
The answer must be in terms of π:
B ) 42 x² - 4 x² π

2.15 as an equivalent mixed number

Answers

Answer:

43/20 = 2 3/20

Answer:

2 3/20

Step-by-step explanation:

First you would write 2.15/1 ; Next, multiply both the bottom and the top by 100 because of the decimal placement. This gives you 215/100. Find the GCF (which is 5) and divide. This leaves you with 43/20, and when simplified, gives you 2 as the whole number and 3/20.

a movie theater charges $6 for a ticket to a matinee and $10 for a ticket to an evening show. last week on tuesday a total of 130 tickets were sold, with the total income amounting to $1120. how many tickets to a matinee were sold?