Convert the following fraction into its decimal equivalent: 3/8

Answers

Answer 1

Answer: 3/8

Just divide to find the equal decimal.

3/8 = 0.375

Answer: 0.375 ✌️

Answer 2

Answer:

the answer is 0.375. just divide

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Use the zeros of the following quadratic to find the x-value of the vertex.y = x2 – 4x – 5
A.5
B.2
C.–2
D.–5

Answers

1. y = x^2 - 4x - 5
= x^2 - 4x + 4 - 4 - 5
= (x^2 - 4x + 4) -4 - 5
y = (x-2)^2 - 9 Here, the vertex is at (2, -9)

2. x = 2 (the vertical line that goes through the vertex)
3. The graph of this function is called a parabola. To graph a parabola, use
its vertex (in this case, (2, -9) ) and y-intercept (y = -5). The y-intercept is the constant in the given equation. Use the fact that the vertical line through the vertex is a line of symmetry. Plot the point corresponding to the y-intercept that lies on the other side of the vertical line x = 2.

4. The graph is translated 2 units to the right and 9 units down.

Answer:

The answer is B.) 2

(on e2020)

Having troubles with inequalities.. 3.8x + 14.5 < 32

Answers

$3,8x + 14.5 < 32\n 3,8x<32-14,5\n 3,8x<17,5\ /:3,8\n x<(17,5)/(3,8)\n \n 17\frac12 :3\frac45=(35)/(2) :\frac{19}5=\frac{35}2\cdot \frac5{19}\n=(175)/(38)=4(23)/(28)\n x<4(23)/(28)\n x\in (-\infty;4(23)/(28))$

Answer: x < 4.6 rounded to the tenths

Step-by-step explanation:

3.8x + 14.5 < 32

subtract 14.5 on both sides.

3.8x < 17.5

divide by 3.8 on both sides.

x < 4.60526316

How many cubic inches of material do you need to make a solid rubber ball with a diameter of 3 in.? Round your answer to two decimal places.

Answers

The materials to be used to make the rubber ball will cover the circumference of the ball. Hence, the cubic inches of material to be used represent the volume of the sphere with diameter = 3 inches (radius = 3 / 2 = 1.5 inches). The volume of a sphere is given by V = 4/3 pi r^3 = 4/3 pi x (1.5)^3 = 14.14 cubic inches.

Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).

Answers

The equation of the line perpendicular to the given line will be =

y = $(-3)/(2)\n$ x + 17

We have a general equation of line as - 2x - 3y = 12 which passes through the point (16, -7).

We have to determine the general equation of the line perpendicular to this line.

What is the general equation of a straight line ?

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to question, we have -

Equation of Line = 2x - 3y = 12

Rearranging the above equation of line, we get -

3y = 2x - 12

y = $(2)/(3) x + 4$

Therefore, the slope of this line will be = 2/3

Two lines which are perpendicular to each other have the following relation among their slopes =

m(1) x m(2) = -1

Therefore, the slope of line perpendicular to the given line will be -

m(2) = -3/2

Now, assume that the equation of line perpendicular to the given line be-

y = mx + c

y = $(-3)/(2)\n$ x + c

Since, this line passes through the point (16, -7), therefore-

- 7 = $(-3)/(2)* 16$ + c

-7 + 24 = c

c = 17

Hence, the equation of the line perpendicular to the given line will be =

y = $(-3)/(2)\n$ x + 17

To solve more questions on Straight lines, visit the link below -

brainly.com/question/12511752

#SPJ2

y= mx+b

(16, -7) = (x,y)

2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y

2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2

Insert the values into y = mx + b
solve for m and then solve for b

Solve the equation
|-9-7x|=|23-7x|.
Graph the solutions, if possible.

Answers

Answer: No Solution

Step-by-step explanation:

When there are absolute values on both sides, you simply just get rid off the signs. (Normally, it results in positive and negative on the other side)

SOLVE:

Given

|-9-7x|=|23-7x|

No absolute value sign

-9-7x=23-7x

Add 7x on both sides

-9=23

ANSWER:

This is no solution, because -9≠23

38 plus what equals 180

Answers

38 plus 142 is equal to 180

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