Pls help I will give brainliest answer

Which pair shows equivalent expressions?

DENIUS [597]

2( $\frac{2}{5}$ x + 4) = $\frac{4}{5}$ x + 4 which is the second option is the equivalent expression.

Explanation:

First, we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to $\frac{2}{5}$ x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 ( $\frac{2}{5}$ x + 2) = $\frac{4}{5}$ x + 4.

2) (two-fifths x + 4) = 2( $\frac{2}{5}$ x + 4) = $\frac{4}{5}$ x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2 $\frac{2}{5}$ x + 1

2) Four-fifths x + 4 = $\frac{4}{5}$ x + 4

3) Four-fifths x + 2 = $\frac{4}{5}$ x + 2

4) Two and two-fifths x + 8 = 2 $\frac{2}{5}$ x + 8.

Out of the various LHS and RHS values, the $1^{st}$ LHS value and $2^{nd}$ RHS value is the same. So option 2 is the answer.

7 0

3 years ago

Read 2 more answers

HELP ME PLEASEEEEEEEEE

Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x + 2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5 therefore x = 7

a) let the number be x

therefore if $\frac{3}{2} x + \frac{9}{4} = \frac{51}{4} \Rightarrow 1.5x + 2.25 = 12.75$ then the number x = 7.

This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

number of mile = x, then the number of miles Juan can ride the taxi for

$12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

quarters, the number is x = 5,

$\frac{9}{4} x + \frac{3}{2} = \frac{51}{4} \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5$

This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.) If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

number of mile = x, then the number of miles Juan can ride the taxi for

$12.75 is x = 5.

$2.25x + 1.5 = 12.75 \Rightarrow 9x = 51 - 6 = 45 \therefore x = 5$

This solution does not match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0

4 years ago

A town sits at point (5,1) on a map. From the tallest building in the town, you can see objects up to 7 miles away. If each unit

Vlada [557]

Answer:

The distance between the tallest building and the statue is 5 miles, so as the statue is inside the range of 7 miles, it can be seen from the tallest building.

Step-by-step explanation:

To solve the problem we need to know the distance between the tallest building in the town and the statue.

This distance can be calculated with the formula of the distance between two points:

d = sqrt(dx^2 + dy^2), where dx is the difference in x-coordinate between the points and dy is the difference in y-coordinate between the points.

So, the distance between these points is:

dx = 5-2 = 3

dy = 1-5 = -4

d = sqrt(3^2 + (-4)^2) = sqrt(9+16) = 5 miles

The distance is 5 miles, so as it is inside the range of 7 miles, the statue can be seen from this point.

3 0

3 years ago

Frank and his family are going to a ground opening of circus there is a special price on ticket this weekend tickets cost $36 ea

irina [24]

Answer:

$60

Step-by-step explanation:

so to find the discounted price you take the original price and multiply it by the discounted percentage, so to find the original price you take $36 and divide it by 60% and you get $60 as the undiscounted price of the tickets

7 0

3 years ago

HELPP!!!! rachel starts cycling a distance away from her house at a constant rate. The table shows her distance from home, y met

katrin2010 [14]

Step-by-step explanation:

4 0

3 years ago