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3 years ago

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13. What is the solution of 2|2x - 1-8 = 18?

1 answer:

Elodia [21]3 years ago

3 0

Answer:

1×x−1−8=18

2 Simplify 1\times x1×x to xx.

x-1-8=18x−1−8=18

3 Simplify x-1-8x−1−8 to x-9x−9.

x-9=18x−9=18

4 Add 99 to both sides.

x=18+9x=18+9

5 Simplify 18+918+9 to 2727.

x=27x=27

Step-by-step explanation:

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Trucks are delivering gravel to a construction site each truck hold 7.5 cubic yards of gravel. The weight of 1 cubic yard of gra

Romashka-Z-Leto [24]

The first thing you must do is to calculate the weight of the gravel (w) that the truck holds (7.5 yards³). So, you have:

If the weight of 1 yard³ is 1.48 tons, then the weight of 7.5 yards³ is:

w=7.5x1.48 tons
w=11.1 tons

The problem says that the gravel will be placed in containers that each hold 3.7 tons of gravel,so, If they need 1 cotainer to place 3.7 tons, how many containers they need to place 11.1 tons?

1 container-------3.7 tons of gravel
x-------11.1 tons of gravel

x=(11.1x1)/3.7
x=11.1/3.7
x=3 containers

H<span>ow many containers of this size are needed to hold all the gravel from one truck?
</span>
The answer is: 3 containers.

7 0

4 years ago

What is the solution of 3x=67 ?

natta225 [31]

Answer:

22.3 repeating

Step-by-step explanation:

3x divided by 3x equals 1x or just x but to divide this you also have to divide the other side of the equals sign by 3 as well therefore the answer is 22.3 repeating

You might find it easy by putting it in fractions such as 3x/3x = 67/3 so x =22.3 repeating

8 0

4 years ago

Read 2 more answers

Given the linear programming problem, use the method of corners to determine where the minimum occurs and give the minimum value

algol [13]

Answer:

Minimum value of function $C=x+10y$ is 63 occurs at point (3,6).

Step-by-step explanation:

To minimize :

$C=x+10y$

Subject to constraints:

$x\leq 3---(1)\\y\leq 9---(2)\\x+y\geq 9----(3)\\x\geq 0\\y\geq 0$

Eq (1) is in blue in figure attached and region satisfying (1) is on left of blue line

Eq (2) is in green in figure attached and region satisfying (2) is below the green line

Considering $x+y\geq 9$ , corresponding coordinates point to draw line are (0,9) and (9,0).

Eq (3) makes line in orange in figure attached and region satisfying (3) is above the orange line

Feasible region is in triangle ABC with common points A(0,9), B(3,9) and C(3,6)

Now calculate the value of function to be minimized at each of these points.

$C=x+10y$

at A(0,9)

$C=0+10(9)\\C=90$

at B(3,9)

$C=3+10(9)\\C=93$

at C(3,6)

$C=3+10(6)\\C=63$

Minimum value of function $C=x+10y$ is 63 occurs at point C (3,6).

3 0

3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

<h3> $M(x,y)=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$ </h3>

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

3 years ago

The Trollis brothers were building a brick step from their mom's back door to her back patio.The width of the step was 14 inches

DanielleElmas [232]

Since volume=length*width*height you can set up the problem like
v=14*(3*14)*10
after multiplying all that you get
v=5880 inches cubed

3 0

3 years ago