The figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to . HG

Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w

maria [59]

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

6 0

2 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

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

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

Pls help if your kind <3 (picture)

AlladinOne [14]

Answer:

1: x=23.313708 2: B x = -13.2 3: x = 152

All the problems examples at the bottom

Step-by-step explanation:

1: 12x=−3(4−x)

12x=3x−12

Step 1: Divide both sides by 12.

12x12=3x−1212

x=14x−1

Step 2: Solve Square Root.

x=14x−1

x=(14x−1)2(Square both sides)

x=116x2+−12x+1

x−(116x2+−12x+1)=116x2+−12x+1−(116x2+−12x+1)(Subtract 1/16x^2+(-1)/2x+1 from both sides)

−116x2+32x−1=0

x=−b±b2−4ac2a(Use quadratic formula with a=-0.0625, b=1.5, c=-1)

x=−(1.5)±(1.5)2−4(−0.0625)(−1)2(−0.0625)

x=−1.5±2−0.125

x=0.6862915010152388,23.31370849898476

2: 3+2.7x=9.6+3.2x

Step 1: Simplify both sides of the equation.

2.7x+3=3.2x+9.6

Step 2: Subtract 3.2x from both sides.

2.7x+3−3.2x=3.2x+9.6−3.2x

−0.5x+3=9.6

Step 3: Subtract 3 from both sides.

−0.5x+3−3=9.6−3

−0.5x=6.6

Step 4: Divide both sides by -0.5.

−0.5x−0.5=6.6−0.5

x=−13.2

3: 9+34x=78x−10

Step 1: Simplify both sides of the equation.

9+34x=78x−10

9+34x=78x+−10

34x+9=78x−10

Step 2: Subtract 7/8x from both sides.

34x+9−78x=78x−10−78x

−18x+9=−10

Step 3: Subtract 9 from both sides.

−18x+9−9=−10−9

−18x=−19

Step 4: Multiply both sides by 8/(-1).

(8−1)*(−18x)=(8−1)*(−19)

x=152

I really hope this helped you

4 0

2 years ago

1. A bag has tiles with two-digit numbers (10-99) on them. A random tile is 4 points

stiks02 [169]

Answer:

Step-by-step explanation:

The probabilty is defined as the ratio between the total events and the total outcomes possible.

In this case, we have 90 total outcomes, which are all two-digit numbers. The event is only one, the number 32. Using the definition, we have

$P=\frac{1}{90}$

Therefore, the right answer is B.

3 0

3 years ago

Read 2 more answers

25% off a price what is the decimal for the amount of the reduction

Grace [21]

It should be 75%=0.75

4 0

3 years ago