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Allushta [10]
3 years ago
6

If (a−8)/3=(a−3)/2 , then a = ?

Mathematics
2 answers:
Vikentia [17]3 years ago
6 0

Answer:

The value of a is -7. You can see the solution in the picture.

Tresset [83]3 years ago
4 0

Answer:

\frac{(a - 8)}{3}  =  \frac{(a - 3)}{2}  \\ 2(a - 8) = 3(a - 3) \\ 2a - 16 = 3a - 9 \\ 3a - 2a =  - 7 \\ a =  - 7

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The quadratic function h(t) = -16t^2 + 120 represents the height of 120 feet. what is the height of the object after 1.5 seconds
Anettt [7]

Answer:

84 feet

Step-by-step explanation:

-16(1.5)^2+120=84

5 0
2 years ago
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state. The size of the
Ann [662]

The smallest county is 129 square miles large.

Step-by-step explanation:

Let,

Smallest county = x

Largest county = y

According to given statement;

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.

y = x+6064     Eqn 1

The size of the largest county is 48 times the size of the smallest county plus one square mile.

y = 48x+1         Eqn 2

As Eqn 1 and Eqn 2 are both equal to y, therefore,

Eqn 1 = Eqn 2

x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063

Dividing both sides by 47

\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles

The smallest county is 129 square miles large.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/9328925
  • brainly.com/question/9184197

#LearnwithBrainly

7 0
3 years ago
(y - 2)2 = y2 – 6y + 4<br> Is this statement true or false?
trasher [3.6K]
<h3>Answer: False</h3>

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

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

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

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

6 0
2 years ago
Read 2 more answers
PLEASE HELP PLEASE PLEASE
AysviL [449]

Answer:

A. March

Step-by-step explanation:

You can tell by subtracting the tallest bar in the month from the shorter one, and seeing which number is bigger out of all of them.

Hope this helped :)

5 0
2 years ago
Read 2 more answers
112272 with 15% discount​
klio [65]

Answer:

<h2><u>16840.8</u></h2>

Step-by-step explanation:

In mathematics, the discount is a type of reduction in the cost price of a product. Generally, the discount refers to the condition where the selling price of the product is less than the cost price of the product. The discount can be calculated by taking the difference between the cost price and the selling price. Thus, the formula to determine the discount is given as:

Discount = Cost price – Selling Price

<h3>Hope it is helpful...</h3>
7 0
3 years ago
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