Give the inequality -8<2 explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by negative 2

Answers

Answer 1

Answer:

If we multiply both the sides by 2, the inequality signs remains the same.

If we divide both sides by -2, the sign changes.

Step-by-step explanation:

The given inequality is

-8<2

If we multiply both the sides by 2, we get

-8 * 2 < 2*2

-16 < 4

The inequality signs remains the same.

On the other hand if we divide both sides by -2, we get -

-8/-2 < 2/-2

4 > -1

Here the sign changes.


Related Questions

Sufure area of cylinder

Answers

Answer:

1733.28 Square inches

Step-by-step explanation:

2(3.14)(6^2)+2(3.14)(6)(40)= 1733.28

r = radius (which is 6 in. Because radius is half of circumference and the circumference is 12 in.)

h = height of cylinder (which is 40 in. Shown in the diagram)

Answer:

1733.28 square inches

Step-by-step explanation:

Hi there!

What we know:

The diameter of the base (12 in.)The height of the cylinder (40 in.)The formula for the surface area of a cylinder: [tex]SA=2\pi r^2+2\pi rh[/tex]

1) Determine the radius of the base (r)

The radius is equal to half the diameter. Given the diameter 12 in., we know that the radius would be 6 in.

Radius = 6

2) Plug all values into the SA equation and solve

[tex]SA=2\pi r^2+2\pi rh\\SA=2\pi (6)^2+2\pi (6)(40)\\SA=2\pi (36)+2\pi (240)\\SA=72\pi+480\pi\\SA=552\pi\\SA=552(3.14)\\SA=552(3.14)\\SA=1733.28[/tex]

Therefore, the surface area of the cylinder is 1733.28 square inches.

I hope this helps!

[tex]\lim_{h \to \116} x-16/\sqrt{x} -4[/tex]
What is the limit?

Answers

Answer:

[tex] \displaystyle 8[/tex]

Step-by-step explanation:

we would like to compute the following limit

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) [/tex]

if we substitute 16 directly we'd end up

[tex] \displaystyle = \frac{16 - 16}{ \sqrt{16} - 4} [/tex]

[tex] \displaystyle = \frac{0}{ 0} [/tex]

which isn't a good answer now notice that we have a square root on the denominator so we can rationalise the denominator to do so multiply the expression by √x+4/√x+4 which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \times \frac{ \sqrt{x} + 4 }{ \sqrt{x} + 4 } \right) [/tex]

simplify which yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{(x - 16)( \sqrt{x} + 4)}{ x - 16} \right) [/tex]

we can reduce fraction so that yields:

[tex] \displaystyle \lim_{x \to 16} \left( \frac{ \cancel{(x - 16)}( \sqrt{x} + 4)}{ \cancel{x - 16} } \right) [/tex]

[tex] \displaystyle \lim _{x \to 16} \left( \sqrt{x } + 4\right) [/tex]

now it's safe enough to substitute 16 thus

substitute:

[tex] \displaystyle = \sqrt{16} + 4[/tex]

simplify square root:

[tex] \displaystyle = 4 + 4[/tex]

simplify addition:

[tex] \displaystyle = 8[/tex]

hence,

[tex] \displaystyle \lim_{x \to 16} \left( \frac{x - 16}{ \sqrt{x} - 4} \right) = 8[/tex]

Find the area of the rhombus.

48 cm2
14 cm2
96 cm2
24 cm2

Answers

Answer:

96 cm^2

Step-by-step explanation:

the diagonal bisect in the point of intersection, so their length is 12 cm and 16 cm

Area = (12 * 16)/2 = 96 cm^2

Answer:

24 cm^2

Step-by-step explanation:

rhombus -.-

A scale drawing of a school playground in the shape of a rectangle is shown. What is the area in square meters of the playground

Answers

Answer:

b

Step-by-step explanation:

8×19= 152  

1 : 4.5  

152×4.5=684  

80 POINTS HURRY ILL GIVE BRANLIEIST!!!

A landscape architect built a square playground. The outside edges of the playground measure 3x meters. The playground has an area of 8100 m^2. How much fencing is needed to fully enclose the playground?

Answers

Answer:

360 meters

Step-by-step explanation:

[tex]\sqrt{8100}[/tex] = 90

one edge = 90 meters

90 x 4 = 360

360 meters

please help me and thank you.

Answers

Answer:

[tex]482.5\:\mathrm{in^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.

Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]

Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]

Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]

It’s the last one 482.5

if GJ = 11a and IJ = a + 10, find the value of a that makes quadrilateral FGHI a parallelogram​

Answers

Note: Consider J is the intersection point of diagonals of quadrilateral FGHI.

Given:

[tex]GJ=11a[/tex]

[tex]IJ=a+10[/tex]

To find:

The value of a that makes quadrilateral FGHI a parallelogram​.

Solution:

We know that the diagonals of a parallelogram bisect each other.

If FGHI is a parallelogram​ and J is the intersection point of diagonals, then

[tex]GJ=IJ[/tex]

[tex]11a=a+10[/tex]

[tex]11a-a=10[/tex]

[tex]10a=10[/tex]

Divide both sides by 10.

[tex]a=\dfrac{10}{10}[/tex]

[tex]a=1[/tex]

Therefore, the required value of a is 1 units.

How much total money will Kiara have to pay back at the end of the 9 years?

Answers

Answer:

a= $29,505. it. is useful answer


Sunaina had three pizzas. She shared the pizzas with her friends. Each of them ate
many friends ate 3/7 of a pizza. How many friends ate the pizza

Answers

Answer:

6 friends

Step-by-step explanation:

Take 1/7 multiply by 5/6

9514 1404 393

Answer:

  7 friends

Step-by-step explanation:

3 pizzas will give 3/7 of a pizza to each of ...

  3/(3/7) = 3 · 7/3 = 7 . . . friends

7 friends ate the pizza.

_____

We assume that Sunaina and her 6 friends constitute 7 friends.

gabby volunteers at an animal shelter. Last month she volunteered 1 3/4 hours on each of 3 Saturday. She also volunteered 3/4 hour on 4 Wednesday evenings. How many hours of volunteer work did Gabby put in last month.​

Answers

Answer:

8 1/4 hours

Step-by-step explanation:

Total hours:

3(1 3/4) + 4(3/4) = 3 + 3*3/4 + 3 = 6 + 9/4 = 6 + 2 1/4 = 8 1/4 hours

What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2

Answers

A and C

Zero and x-intercept are kind of the same thing

The answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

What are zeros & x-intercepts of quadratic function?

The zero of the function is where the y-value is zero.

The x-intercept is where the graph crosses the x-axis.

Here, in graph we have,

at (-3,0) and ( 2,0) the quadratic crosses the x-axis.

And, at -3 & 2  the value of y is zero.

Hence, the answer is ⇒C. Zeros: -3 and 2

A. x-intercepts: (-3,0) and (2,0).

To learn more on zeros & x-intercepts of quadratic function click:

https://brainly.com/question/28822774

#SPJ2

pls help pls pls pls​

Answers

Answer:

12/4 i really hope this helps i took the test and got a 100

Step-by-step explanation:

which graph is a function of x?

Answers

Answer:the one to the left

Step-by-step explanation:

Express the location of the point on the number line as both a fraction and a decimal. A number line that has moving left to right, a starting mark at 0, nine unlabeled tick marks, a tick mark labeled one-tenth, nine unlabeled tick marks, a tick mark labeled two-tenths, nine unlabeled tick marks, and an ending tick mark at three-tenths. There is a dot at the ninth tick mark to the right of one-tenth.

Answers

Answer:

9 / 100 ; 0.09

Step-by-step explanation:

From the line plot given :

The number of unlabeled ticks marks between any two labeled tick marks can be obtained by :

(Difference between any two successive labeled tick marks / number of tick marks)

Picking the labeled tick marks, 0 and 1/10

(1/10 - 0) / 10

1 / 10 ÷ 10

1/ 10 * 1 / 10 = 1 / 100

To find the marked point : (this is tick mark 9 from 0) ;

Number of ticks * distance between ticks

Location of marked tick = 1 / 100 * 9 = 9 / 100

Decimal equivalent = 9/100 = 0.09

What is the ratio of the people who prefer vanilla to the people who prefer strawberry?
-5/4
-4/5
-3/2
-2/3

Answers

Answer:

4/5

Step-by-step explanation:

From the above question, we are given the number of people who like a particular flavor.

The number of people who like:

Vanilla = 36

Strawberry = 45

Therefore, the ratio of the people who prefer vanilla to the people who prefer strawberry is written as

Vanilla : Strawberry

= 36:45

= 4:5

= 4/5

Therefore, option B = 4/5 is the correct option

PLEASE HELP! Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x=16.19 models the situation, what does the variable stand for?

A. The weight of one apple

B. The cost of 1 pound of apples

C. The number of pounds of apples

D. The total cost of the apples

Answers

Answer is B the cost of 1 pound of apples

Plane W and Plane B intersect at which following?

Answer Choices:

A. Line a
B. Line t
C. They do not appear to intersect
D. Line p

Answers

Answer:

the answer is (d)!! hope this helps

Step-by-step explanation:

How many fl oz are in 4 table spoons

Answers

Answer:

2 fl oz

Step-by-step explanation:

2 tbsp = 1 fl oz. Simply double.

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
-12-1
-3
-11
2
2
-1
2
х
-1
DO
o
-13
من ال۔
ला

Answers

Answer:  -3/4  (choice C)

==================================================

Explanation:

Think of a whole cake or pizza. Now slice it into 4 equal pieces. This represents 1 is the same as 4/4.

Adding on another quarter slice gets us 4/4+1/4 = 5/4

In other words, the mixed number 1 & 1/4 is the same as the improper fraction 5/4.

So 1 & 1/4 = 5/4

This then means -1 & 1/4 = -5/4 because we multiply both sides by -1.

Now we'll add on 1/2, which is the same as 2/4, like so

(-1 & 1/4) + 1/2

-(1 & 1/4) + 2/4

-(1 + 1/4) + 2/4

-1 - 1/4 + 2/4

-1 + (-1/4 + 2/4)

-1 + 1/4

-4/4 + 1/4

-3/4

which points us to choice C as our final answer

Notice how if we started at -5/4, and moved to the right 2 tickmarks, we arrive at -3/4. Each tickmark represents 1/4 of a unit, so two of them is 2/4 = 1/2.

Side note: -3/4 converts to the decimal -0.75

helppppppppppppppppppppppp

Answers

Answer:

gotta be  answer A

Step-by-step explanation:

you can search up f(x) = square root of x

view what's attached

Answers

Step-by-step explanation:

when numbers are negative, the bigger the number looks the smaller it is therefore

-6 is smaller than -5

but 6 is bigger than 5

however, the numbers are;

-5.99, -3, -6, -5.9, -1, -5.999, -5 ,2

Stefan sells Jin a bicycle for $149 and a helmet for ​$19. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

$120

$48

Step-by-step explanation:

total amount Jin spent = cost of bicycle + cost of helmet

$149 + $19 = $168

This equation can be derived from the question :

1.4 x t = 168

where t = total cost Stephan spent on the helmet and bicycle

t = 168/1.4 = $120

Profit = selling price - cost price

$168 - $120 = $48

What is the volume of this Sphere?

8 pi cm3
16 pi cm3
27 pi cm2
36 pi cm2

Answers

Answer:

V = 36 pi cm^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where 4 is the radius

V = 4/3 pi(3)^3

V = 36 pi cm^3

if f(x)=3x+10, find f(4)?

a. f(4)=17
b. f(4)=22
c. 22
d. f(4)=12

Answers

Answer:

f(4) =22

Step-by-step explanation:

f(x)=3x+10

Let x=4

f(4)=3*4+10

    Multiply

f(4) =12+10

Add

f(4) =22

Answer:

[tex]f(4 )= 22[/tex]

Step-by-step explanation:

[tex]f(x) = 3x + 10[/tex]

[tex]f(4) = 3(4) + 10[/tex]

[tex]f(4) = 3 \times 4 + 10[/tex]

[tex]f(4) = 12 + 10[/tex]

[tex]f(4 )= 22[/tex]

Hope it is helpful...

SJSKSJSKSJ d help :p

Answers

Answer:

Below

Step-by-step explanation:

Discount: 40% of $159 = $63.60

Price you pay: $159 - $63.60 = $95.40

Can someone please help with this ? Thanks

Answers

I think the answer is “16”

What is m ZPHJ?
L
0 100°
140°
0 120°
M
200
K
H
O 140°
0 160°
Р

Answers

Answer:

o 140. age

125 M so that you answer

Help ASAP. I will give branliest.

Answers

Answer:

( 1, 3)

Step-by-step explanation:

4x+y=7 * 2 = 8x + 2y = 14

 8x + 2y = 14

- 3x + 2y = 9

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

 5x = 5

   x = 1

Now substitute x into the equation for 1

8*(1) + 2y = 14

8 + 2y = 14

2y = 6

y = 3

Evaluate expressions- if r=45 and t=9 what is the value of the following expression?

A.36

B.75

C.80

D.66

Answers

the answer is D: 66
By using PEDMAS

Answer:

[tex]d. \: \: 66[/tex]

Step-by-step explanation:

[tex]r + 63 \div t \times 3[/tex]

[tex]45+63÷9 \times 3[/tex]

[tex]45+7 \times 3[/tex]

[tex]45 + 21[/tex]

[tex]66[/tex]

Hope it is helpful...

can someone please help me with question 1? I will give brainliest to first answer! Thank you so much! I really appreciate anyone who helps

Answers

Answer:

49 in the first box and 7 in the second one

25 in the 3rd box and 5 in the 4th

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