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4 years ago

A÷3=(a-1)/2=what is the solution set?

Mathematics

1 answer:

MAVERICK [17]4 years ago

3 0

We need to solve the given equation,

First step is to multiply by the common denominator of 2 and 3 which is 6 to each sides of the equation to get rid of the fraction form. So,

$\frac{a}{3} *6=\frac{a-1}{2}*6$

2a= 3(a-1) (By simplifying)

2a=3a-3 (By distributing property).

2a-3a=-3 (Subtracting 3a from each sides).

-a = -3

a=3

So, the solution is a=3.

You might be interested in

You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars

Charra [1.4K]

Answer:

$Y = 15x+ 100$

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

$Y = 15x+ 100$ ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

$250 = 15x+ 100$

$15x=250-100$

$15x =150$

$x=\frac{150}{15}$

x = 10 months

Therefore, we need to required 10 months for $250.

4 0

4 years ago

Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the grap

Natalka [10]

Answer:

a graph that connects 3 points connected by a straight line that passes through (5, 0)

Step-by-step explanation:

A graph is the representation of numerical data by one or more lines that give visibility to the relationship between the data. Understanding graphics today is an essential task, as they are very present in our daily lives, whether in newspapers, magazines, the internet, etc.

If a teacher asks each student to take a piece of graph paper containing a graph, study the graph and tell which graph represents graphs of equivalent proportions. The student who has a graph that connects 3 points connected by a straight line passing through (5, 0) is the student who should speak.

8 0

4 years ago

121+b^2=12.1^2<br> What is the value of b^2?

luda_lava [24]

$121 + b^2 = 12.1^2$
Square 12.1, and subtract 121 from both sides.
$b^2 = 146.41 - 121$
Complete the subtraction on the right side.
$b^2 = 25.41$
This is the solution.

$b^2 = 25.41$

5 0

4 years ago

Ann and ben had some apples. The ratio of the number of Ann's apples to the ratio of Ben's apple is 2:3. Ann gave 6 apples to be

aleksklad [387]

Answer:

There are 12 apples in total.

Step-by-step explanation:

If Anne gave Ben 6 apples then heres how:

2:3 subrtact 6 apples = 1:3

6 apples x 2 = 12 apples =

2 ÷ 2 = 1

Hence, your answer is double 6 which is 12 apples.

Hope this helps :)

3 0

3 years ago

What can you say about the end behavior of the function f(x) = -ln(2x)+4?

galina1969 [7]

The end behavior of the function is the one in option C.

<em>"One end increases and one end decreases"</em>

<h3>What can we say about the end behavior?</h3>

Here we have the function:

f(x) = -ln(2x) + 4.

Remember that for the natural logarithm, as x tends to zero the function tends to negative infinity.

And as x tends to infinity, the natural logarithm tends to infinity.

So, for our function where we have a negative sign before the logarithm, as x tends to zero the function tends to infinity and as x tends to infinity the function tends to zero.

Then the correct option is C:

<em>"One end increases and one end decreases"</em>

If you want to learn more about end behaviors:

<em>brainly.com/question/1365136</em>

4 0

2 years ago