MATHEMATICS MIDDLE SCHOOL

How would you graph the solution set of x - 6 < -3?

Answers

Answer 1

Answer:

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-6 < -3$

Solve for x

Adds 6 both sides

$x-6+6 < -3+6$

$x < 3$

The solution is the interval (-∞,3)

All real numbers less than 3

In a number line the solution is the shaded area at left of x=3 (open circle)

The number 3 is not included in the solution

see the attached figure to better understand the problem

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-10= -b/4 What Does "b" Equal?

Answers

$-10= (-b)/(4)$
Common denominator is 4
$4(-10)= (\not 4(-b))/(\not 4)$
$4(-10)=-b$
$-40=-b$
Multiply by 1
$b=40$
The answer is: b=40

$\boxed{-10= (-b)/(4) } \ \to -b=-10*4=\boxed{-40} \n \n \n\n\huge\text{The answer is -b=-40}$

Anyone please help me?

Answers

Hi!

This is an equilateral triangle. Meaning all sides equal the same.

A triangle's angles add up to 180.

60+60+60=180

Angle 2=60 degrees

-Seth

A rectangular garden is 6 feet long and 4 feet wide. A second rectangular garden has dimensions that are double the dimensions of the first garden. What is the percent of change in perimeter from the first garden to the second garden?

Answers

double dimentions
perimiter

P=2(L+W)

if we have
L=6
W=4
P=2(6+4)
P=2(10)
P=20
original is 20
if both are doubled

6*2=12
4*2=8
P=2(12+8)
P=2(20)
P=40

from original to new is
from 20 to 40
what is percent change?
find chnage
new-original=change
40-20=20
percent change=change/original
20/20=1=100%

answer is 100%

__________ _____________________
| 6 feet | | 6 feet | 6 feet |
| | | | | 4 feet
|_________ | |__________|__________|
| | |
| | | 4 feet
|__________|__________|

the figure shows that the second garden has a circumference twice . We must , however, prove.
Denote the sides of the first garden - a rectangle letters a and b
circuit garden
C₁ = 2a + 2b = 2*(a+b)
The sides of the second garden also denoted with the letters a and b . We calculate the circuit
C₂ = 2*2a + 2*2b = 4a + 4b = 4*(a+b)

$k = ( C_(2) )/( C_(1) ) = (4*(a+b))/(2*(a+b)) = (2*(a+b))/(1) = 2*(a+b)$

2 = 2*100%=200%
200% -100% = 100%

Answer : The ratio of the second garden to the first ( ratio ) is 2 . Circuit increased by 100 %

Which is bigger 5/8 or 7/12

Answers

5/8=0.625

7/12=0.583......

5/8 is bigger as ive put both into a decimal as it is easier to tell

5/8 and 7/12
15/24 14/24
15 is greater than 14

greta makes a slice through a three-dimensional object parallel to the base the cross section is a circle. What three dimensional shapes might greta have cut?

Answers

Answer:

A. Cylinder.

C. Cone.

Step-by-step explanation:

Notice that the cross section is parallel to the base. So, if the cross section is a circle, then the base is also a circle.

Then, we just need to find all figures that have a circle at the bottom. The figures are a cylinder and a cone.

Therefore, the right answers are A and C.

Answer:

A. Cylinder

C. Cone

Step-by-step explanation:

Both a cylinder and a cone are three dimensional shapes that contain a circle as the base. If a cross section is made parallel to the base, that means that it should have the same shape as the base. Since a pyramid and cube both have straight edges, it would not be possible to form a circle from a parallel cut to the base, so the only options are cylinder and cone.

There is an inverse relationship between x and y. If y is when x is 3, what is x when y is 9?3
5

Answers

For example, y = k/x; when x = 3 => k = 3y; when y = 9 => k = 27 and x = 27/9 = 3;
The answer is 3!

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