Solving inequalities by multiplication and division
1. -8 < 8w

Answers

Answer 1

Answer:

w > -1

Step-by-step explanation:

Hello There!

We want to simplify this expression to be more specific we want to isolate the variable (w) using inverse operations

So we want to get rid of the 8 in 8w

8w is the same as 8 times w (multiplication)

The inverse of multiplication is division so to get rid of the 8 we want to divide by 8 but remember whatever we do to one side we want to do to the other side. So we divide each side by 8

-8/8 = - 1

8w/8=w

we're left with w > -1

Answer 2

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-8 < 8w}[/tex]

[tex]\large\text{TURN/FLIP the given EQUATION around}[/tex]

[tex]\mathsf{8w > -8}[/tex]

[tex]\large\text{DIVIDE 8 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{8w}{8}>\dfrac{-8}{8}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{\dfrac{8}{8}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{Keep: } \mathsf{\dfrac{-8}{8}}\large\text{ because that helps you compare to the w-value}[/tex]

[tex]\large\text{New equation: } \mathsf{w>\dfrac{-8}{8}}[/tex]

[tex]\mathsf{\dfrac{-8}{8}=\bf -1}[/tex]

[tex]\mathsf{w>-1}[/tex]

[tex]\mathsf{It\ is\ an\ O P E N\ circle\ shaded\ to\ the\RIGHT\, starting\ at\ the\ -1}[/tex]

[tex]\boxed{\boxed{\large\text{Therefore, your \underline{answer} is: }\mathsf{\bf w > -1}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]


Related Questions

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
14, 84,504,...


Find the 6th term

Answers

Answer:

108,864

Step-by-step explanation:

The difference between each value is x6, so you times the number by 6 to get the next number of the sequence :)

What's 65-70 days in weeks

Answers

Answer:

About 9-10 weeks

Step-by-step explanation:

70/7= 10

Answer:

9-10

Step-by-step explanation:

What is the simple interest earned on $1000.00 that earns 6% interest for 10 years?

Answers

Answer: $600 interest

Step-by-step explanation:

Formula

I=Prt

I=Interest amount

P=Principle

r=Interest rate

t=Time

Given

P= $1000.00

r= 6%

t= 10 years

Solve

I=Prt

I=(1000)(6%)(10)

I=$600

Hope this helps!! :)

Please let me know if you have any questions

HELP giving brainlest and extra points!!

Answers

-4 is the missing number

Answer:

32x? I'm so sorry if i'm wrong.

Step-by-step explanation:

Solve the 2x^2 - 5 = 13

Answers

Answer:

x=3

x=−3

Step-by-step explanation:

2x^2 - 5 = 13

Subtract 13 from both sides.

2x^2 - 5 - 13 = 0

Subtract 13 from −5 to get −18.

2x^2 - 18 = 0

Divide both sides by 2.

x^2 - 9 = 0

Consider x^2−9. Rewrite x^2−9 as x^2−3^2. The difference of squares can be factored using the rule: a^2−b^2=(a−b)(a+b).

(x−3)(x+3)=0

To find equation solutions, solve x−3=0 and x+3=0.

x=3

x=−3

What is the surface area of a sphere with a radius of 30m?
A 3,600 (pie) M ^2
B 90,000 (pie) M ^2
C 1,800 (pie) M ^2
D 900 (pie) M ^2

Answers

formula: 4(pi)r^2

4(pi)r^2
4(pi)30^2
4(pi)900
3600(pi)

Answer: A. 3,600 (pi) M^2

Find the midpoint between the two points: (-7, 9) and (5, -1).
A. (18, -23)
B.(11, 4)
C.(13, 18)
D.(1.5, -2)

Answers

Answer:

The coordinates of the midpoint between the two

points is (-1,4)

Step-by-step explanation:

Here, we want to find the midpoint between the two given points

To do this, we are to use the midpoint formula

We have this as;

m = (x1 + x2)/2, (y1 + y2)/2

(x1,y1) = (-7,9)

(x2,y2) = (5,-1)

(x,y) = (-7 + 5)/2, (9-1)/2

= (-2/2, 8/2) = (-1,4)

When I have walked 20% of the way to school, I have 1200 metres more to walk than when I have 20% of the walk remaining.

How far, in metres, is it from my home to my school?

Answers

Given:

I have walked 20% of the way to school.

I have 1200 metres more to walk than when I have 20% of the walk remaining.

To find:

The distance from home to school.

Solution:

Let x be the distance from home to school.

I have already walked 20% of the way to school and i have 1200 metres more to walk than when I have 20% of the walk remaining.

It means 1200 is [tex]100\%-20\%-20\%=60\%[/tex] of the total distance from home to school.

[tex]1200=\dfrac{60}{100}x[/tex]

[tex]1200=0.6x[/tex]

[tex]\dfrac{1200}{0.6}=x[/tex]

[tex]2000=x[/tex]

Therefore, the distance from home to school is 2000  metres.

How far, in metres, is it from my home to my school is 2,000 metres.

First step is to formulate

1200/(1-2×20%)

Second step is to find how far in metres

Distance=1200/(1-0.4)

Distance=1200/0.6

Distance=2,000

Inconclusion how far, in metres, is it from my home to my school is 2,000 metres.

Learn  more about distance here:https://brainly.com/question/17273444

Giving brainlist to whoever answers

Answers

Answer:

its B

Step-by-step explanation:

3.9*8.2*4.1 is 131.118

Answer:

4 x 8 x 4 = 128

if not then try

3.9 x 8.2 x 4.1 = 131.118

round to the nearest whole number to get: 131

Find the value of x
X

Answers

Answer:

20 or 18

Step-by-step explanation:

The value of x is 10.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

From the triangle it can be assume that ΔPSR is similar to ΔPQR.

Then, the ratio of corresponding sides of triangles are proportion.

So, PQ/ PS = QR/ RS

9/15 = 6 /x

9x = 90

x= 90/9

x= 10

Thus, the value of x is 10.

Learn more about proportion here:

https://brainly.com/question/29774220

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Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p , the cost, in dollars, of each notebook?

Answers

Answer:

this is just a hint

Step-by-step explanation:

the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.

How to solve for (3v^3r^4)^2

Answers

Answer:

9v^6r^8

Step-by-step explanation:

3v^6 · 3r^8

ummmm i really need help

Answers

Answer:

B

Step-by-step explanation:

Angles a and b are complementary angles because they both add up to 90 degrees, which fulfills the definition of complementary.

Answer:

B, complementary

Step-by-step explanation:

I did something similar to this and got it correct- hope this was helpful!

12.3 cm
What is the exact volume of the sphere?
O 2481.1567 cm
O 7263.397 cm
O 7790.837 cm
O 22807.057 cm

Answers

Answer:

Volume = 4/3 * PI * radius^3

Volume = 4/3 * PI * 12.3^3

Volume = 1.33333333 * 3.14159265* 1860.867

Volume = 7794.7814531034

The answer is 7790.837

Step-by-step explanation:

Which statement explains why 49 is a perfect square

Answers

Answer:

49 is equal to 7 times 7

Step-by-step explanation:

perfect squares are a number that are the product of the same number e.g. 4*4=16, 5*5=25

Which of the following choices are binomial random variables?

Answers

Answer: Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

Step-by-step explanation: If the answer choices are:

- Lulu rolls a pair of fair dice until she gets a sum 10. Let T = the number of rolls it takes.

- Diane flips a fair coin 10 times and counts how many times it lands showing “heads.” Let H = the number of heads.

- Anna asks a random sample of 10 people how many siblings they each have. Let S = the average number of siblings in the sample.

An aquarium holds 11.39 cubic feet of water, and is 2.3 feet long and 1.8 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

2.75feet

Step-by-step explanation:

Given data

Volume= 11.39 cubic feet

Length= 2.3 feet

Width= 1.8 feet

Depth= ???

The expression for the volume is  

Volume= Length*Width*depth

11.39=2.3*1.8*d

11.39=4.14d

d= 11.39/4.14

d= 2.75

Hence the depth is 2.75feet

Ashley flies a drone 2,530 ft in 5 s. At this rate how many miles does the drone fly in a minute? 1 mi = 5280 ft

Answers

Answer:

I think the answer is 5.75 miles.

Step-by-step explanation:

If the drone flies 2,530 ft in 5 seconds, that means that in one minute it flies 30,360 ft. And 30,360 divided by 5,280 is 5.75.

There are 5.74 miles does the drone fly in a minute.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Ashley flies a drone 2,530 ft in 5 s.

Now,

Since, Ashley flies a drone 2,530 ft in 5 s.

We know that;

1 minute = 60 seconds

Hence, Number of miles in 1 minutes = 2530/5 × 60

                                                          = 30,360 ft

Since, We know that;

1 ft = 0.000189 miles

Hence, we get;

⇒ 30360 × 0.000189

⇒ 5.74 miles

Learn more about the multiplication visit:

https://brainly.com/question/10873737

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PLEASE HELP IM TIMED ON THIS ! I NEED HELP ASAP!

Answers

Ans :

a^6 is ur answer

It’s x=6 it’s the answer

Nicholas bought 3 cartons of confetti eggs. Each carton contained 12 confetti eggs. One package
of confetti eggs hadi 4 broken.

Answers

Answer:

3 times 12 equals 36. 36-4=32. The answer is 32

Step-by-step explanation:

Dad is getting food ready for my birthday party! Including me, there will be 14 people at the party. Dad is baking cupcakes for us! He can bake 16 cupcakes per batch.

How many batches should I tell Dad to make so we can each have 5 cupcakes?

Answers

Answer:

5 batches

Step-by-step explanation:

fist to find how many cupcakes you need multiply the amount of people times amount of cupcakes per person

(if rule is 5 per person)

14x5=70

then you want to find how many batches to make

70/16=4.375

but you and make 0.375 batches so just make 1 more batch

so you should tell your dad to bake 5 batches

Mhanifa can you please help? This is due asap! Look at the pic attached below. I will mark brainliest. Guys please don't put random answers thanks :)

Answers

Answer:

37°

Step-by-step explanation:

Angle DBC is congruent with ADB as alternate interior angles

∠DBC ≅ ∠ADBm∠DBC = m∠ADB = 37°

Please please help me with this ASAP ASAP please

Answers

Answer:

Volume: 762 in³

LA: 448 in²

SA: 544 in²

Step-by-step explanation:

So first, the volume, the formula to find the area is base x height, so we have to find the base first:

8 x 12 ÷ 2 = 48

48 x 14  = 672

So the volume of the prism is 762 in³

Now, the lateral area, which is basically the surface area without the bases, or, in this case, the triangles:

10 x 14 = 140 x 2 = 280

12 x 14 = 168

168 + 280 = 448

So the LA = 448 in²

Now, for the surface area:

12 x 8 = 96 (usually, it would then be ÷ 2, but because there are two triangles, it isn't necessary)

96 + 448 (the LA) = 544

So the SA = 544 in²

hope this is right:)

Given the function y = x/3 + 1, suppose you have a function value where x (input) is 6. What would be the corresponding y value (output)?

Answers

Answer:

3

Step-by-step explanation:

Given the function : y = x/3 + 1

If an input value, x is given as 6 ;

Output value, y can be obtained by Substituting the value x = 6 into the function and calculating the value of y

Calculation goes thus ;

y = 6/3 + 1

y = 2 + 1

y = 3

Output, y = 3

help please ! thank u sm

Answers

Given:

The figure of triangle LNM.

To find:

The Law of Sines for the given triangle.

Solution:

Law of sines: In triangle ABC,

[tex]\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}[/tex]

Similarly, the Law of Sines for the given triangle LNM is:

[tex]\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}[/tex]

Therefore, the correct option is b.

Does anyone know any good Algebra 1 studying tips. Big tests coming up.

Answers

Answer:

Review your notes, make flashcards, go back to your textbook and solve problems you haven't solved. Just keep doing practice problems

If X/2 - 1=X/3 + 4, then x=?

Answers

Answer:

X - 1 = X + 4

2 3

X- 2 = X + 12

2 3

3(x - 2) = 2(x + 12)

3x - 6 = 2x + 24

X = 18

Marking brainliest:).

Answers

Answer:

0.18

Step-by-step explanation:

Divide 5.40 by 30.

Can I have brainliest?

Answer:

0.18

Step-by-step explanation:

total cost - the amount of markers = price per marker

5.40/30=0.18

Find the area, someone help please

Answers

Answer:

Area is 1246

Step-by-step explanation:

39 x 34 - 10 x 8

Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is inches. The heights of 10 randomly selected students are 75,62,69,65,66,64,67,70,74 and 63.

Answers

Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

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