3x-x+4=10 I really need help please help me. Xoxo

The figures below are similar. the area of the larger trapezoid is 121m^2. Find the area of the smaller trapezoid to the nearest

DENIUS [597]

Answer:

54 square meters

Step-by-step explanation:

Similar figures have corresponding lengths as equal ratios.

Smaller trapezoid's base is given 12 and larger trapezoids base is given 18, so the scale factor is $12k=18\\k=\frac{18}{12}\\k=1.5$

this means the lengths of larger is 1.5 times lengths of smaller.

In terms of area, the scale factor is squared. Hence the scale factor for area is $k^2=(1.5)^2=2.25$

this means the area of larger is 2.25 times the area of smaller.

Now, Let area of smaller trapezoid be x so we can say: $x(2.25)=121\\x=\frac{121}{2.25}\\x=53.78$

to nearest square meter, x = 54 meters squared

6 0

3 years ago

During which section did the person travel the farthest ? how far did they travel ?

Novosadov [1.4K]

9514 1404 393

Answer:

D, 60 miles

Step-by-step explanation:

Distance is indicated by the vertical scale. The section that represents the most distance will be the section that has the greatest vertical difference between its start and end points. Section D starts at 60 and ends at 0 miles, so covers a distance of 60 miles. The greatest distance covered by any other section is 30 miles.

The person traveled the farthest during section D. They traveled 60 miles.

4 0

3 years ago

A furniture shop refinishes chairs. Employees use two methods to refinish chairs. Method I takes 0.5 hours and the material cost

sveta [45]

Answer:

With Method I, they should plan to refinish 92 chairs and with Method II they should plan to refinish 70 chairs.

Step-by-step explanation:

This problem can be solved by means of a system of equations, that is to say a system that in this case will contain 2 linear equations with two variables: "x" and "y".

First you must define what your variables x and y are:

x: Chairs refinished by method I.
y: Chairs refinished by method II.

On the one hand, you know that between method I and method II they plan to work 151 hours. In method I, each chair takes 0.5 hours of work, this means that to obtain the total amount of time it takes to work in the "x" chairs by this method, 0.5 must be multiplied by the number of chairs. You can apply the same reasoning to calculate the total amount of time it takes to work on the "y" chairs by method II knowing that each chair takes 1.5 hours. Everything said above is represented by the equation:

 $\frac{1}{2} *x+\frac{3}{2} *y=151$ Equation (A)

In the equation the values 0.5 and 1.5 are represented in the form of a fraction (1/2 and 3/2 respectively) to be able to solve more in a way how the system of equations.

On the other hand, to state the other equation of the system, it must be taken into account that by method I the material costs $ 9 for each chair and by method II the material costs $ 7 for each chair. To determine the value of the material in each method, multiply the value of each chair by the amount of chairs refinished in each case. And the sum of the value of the materials of both methods must be $ 1318. This is represented by the equation:

9*x+7*y=1318 Equation (B)

Having both equations, you can solve the system. There are several methods to solve it, but one of the easiest and most widely used methods is substitution. This consists of isolating one of the variables from one of the equations and replacing it in the other equation.

In this case you can choose to isolate the variable x from equation B, resulting in:

$x=\frac{1318}{9} -\frac{7}{9} *y$ Equation (C)

It is always preferable to work in fractions for convenience to solve the calculations.

Now you replace the expression obtained from x in equation A, obtaining:

$\frac{1}{2} *(\frac{1318}{9} -\frac{7}{9} *y)+\frac{3}{2} =151$

Now you have an equation with a variable, "y", which can be solved, that is, you can get the value of "y". So "y"=70

Remembering that the variable "y" is the number of chairs refinished by method II, the value of "y" means that 70 chairs by that method were refinished.

To calculate the value of "x", you simply replace the value of "y" in either of the two equations (A) or (B) of the system and solve the equation. Or you can replace the value of "y" in equation (C): Either way the result must be the same: "x"=92

Remembering that the variable "x" is the number of chairs refinished by method I, the value of "x" means that 92 chairs by that method were refinished.

6 0

3 years ago

Which expression represents the calculation the sum of x and 8 is divided by 6?

Kruka [31]

Answer:

(x + 8) / 6

Step-by-step explanation:

The sum of x and 8, meaning x + 8 is being divided by six, so we group x + 8 in parentheses, and divide by 6 to get the answer

3 0

3 years ago

8(3 – 2x)+ 4(3x – 2)=-16 Can someone solve for x? please

castortr0y [4]

Answer: x = 8

Step-by-step explanation:

8(3-2x) + 4(3x - 2) = -16

expanding the equation , we have

24 - 16x +12x - 8 = -16

16 - 4x = -16

collecting the like terms

4x = 32

x = 32/4

x = 8

4 0

4 years ago