There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees are there in the parcel?

Answers

Answer 1
Answer: Let's call the number of rows 'R' . (Clever ?)

There are (3x -2) trees in each row, and there are 'R' rows,
so the total number of trees is [ R times (3x-2) ].

But the problem told you that the total number of trees is (24x-16).
So
       R(3x - 2) = (24x - 16)

For a quick, happy ending, how about factoring '8' out of the right side:

       R(3x - 2) = 8(3x - 2)

Is it jumping out at you yet ?
If not, then divide each side by (3x - 2) :

       R      =      8

There are eight (8) rows of trees.
Answer 2
Answer:

Final answer:

To find the number of rows of trees in the parcel, we set up the equation (Number of rows) * (3x - 2) = 24x - 16. By solving this equation for the number of rows, we find that it equals (24x - 16) / (3x - 2).

Explanation:

The question is about determining the number of rows in a rectangular parcel of land with trees. It is given that each row has 3x-2 trees and the total is 24x-16 trees. We can set an equation based on this information: (Number of rows) x (Number of trees in each row) = Total number of trees. This gives us the following equation: (Number of rows) * (3x - 2) = 24x - 16. Solving for the number of rows, we divide each side of the equation by 3x - 2. Hence, the number of rows equals (24x - 16) / (3x - 2).

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Simplify a × 3a3b.

A. 6a4b2
B. 2a4b7
C. 4a2b2
D. 3a4b

Answers

Answer:

D. 3a^4b

Step-by-step explanation:

We have: a.3a^3b in order to simplify this expression, we have to apply the rule of the exponents.

This rule says that:

a^b.a^c=a^(^b^+^c^)

If you have the same base, the exponents can be added.

We can rewrite the expression a.3a^3b as 3(a.a^3)b

Then we have:

a.a^3=a^1.a^3=a^(^1^+^3^)=a^4

Finally:

a.3a^3b=3(a^4)b=3a^4b

The correct option is D.

Use:a^n\cdot a^m=a^(n+m)\n\na\cdot3a^3b=3a^(1+3)b=3a^4b\n\nAnswer:\boxed{D.\ 3a^4b}

Lori rented a car for one day. The daily rental rate was $12.50 plus 25 cents per mile. The total cost of her rental was $46. How many miles did she drive that day?

Answers

134 miles is the distance she travelled

Melissa bought a cake that cost $75. The sales-tax rate is 10 percent. What is the total amount she paid for the cake?

Answers

Answer:

the total amount she paid for the cake, $82.5

Step-by-step explanation:

As per the statement:

Melissa bought a cake that cost $75.

⇒Cost of cake = $75

It is also given that:

The sales-tax rate is 10 percent.

then

Sale tax she gave on cake = (10)/(100) * 75 = \$7.5

We have to find the total amount she paid for the cake.

\text{Total amount she paid for the cake} = \text{Cost of the cake}+\text{Sale tax}

Substitute the given values we have;

\text{Total amount she paid for the cake} = 75+7.5 = \$ 82.5

therefore, the total amount she paid for the cake, $82.5

Statements: 

1# 
Melissa bought a cake of cost $75.
2# The tax that has to be paid for the product is 10% of the cost of the product, itself.

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

Total amount of money = $75 +( (10)/(100)*75 )
 
                                         = $75 + $7.5                                         
                                         = $82.5 

 

Someone please do these i don't understand

Answers

Each chair or table requires between 0.2 and 1 gallon of paint to be painted.

What is the equivalent expression?

Equivalentexpressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

To find out how many gallons of paint are used to paint each piece of furniture, we need to divide the total amount of paint used by the total number of pieces of furniture.

Let x be the amount of paint used to paint one chair or table, in gallons.

Then, for 20 chairs and 5 small tables, the total amount of paint used is:

4 gallons = 20x + 5x

Simplifying this equation, we get:

4 gallons = 25x

Dividing both sides by 25, we get:

x = 0.16 gallons

Therefore, it takes 0.16 gallons of paint to paint each chair or table. Since we are looking for whole numbers, we can round this to the nearest whole number to get:

0.16 gallons ≈ 0.2 gallons

Hence, each chair or table requires between 0.2 and 1 gallon of paint to be painted.

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A car travels 32 km due north andthen 46 km in a direction 40° west of
north. Find the magnitude of the
car's resultant vector.

Answers

Answer:

73.2km

Step-by-step explanation:

first you have to decompose 46 km into y and x components.

x=sin40°*46km

x=0.64*46km

x=29.44km

y=cos40°*46km

y=0.76*46km

y=34.96

now you add the y components together

32+34.96=66.98

finally use Pythagorean thereom to find the resultant vector.

a*a+ b*b=c*c

66.98*66.98+29.44*29.44=c*c

c*c= 4486.3+866.7

c=√5353

c=73.2 km this is the approximate value

1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
     That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
    That means we can swap numbers in multiplication.(The answer is the same)
 
Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9         

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40                

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!
 
    Hope I helped!

Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)