Mathematics High School

30 points 1
Mei wants to solve the inequality --W < 12. How can she isolate the variable?
2
• Multiply both sides by -2 and reverse the inequality symbol.
• Multiply both sides by -2 and do not reverse the inequality symbol.
*) Divide both sides by 12 and reverse the inequality symbol.
) Divide both sides by 12 and do not reverse the inequality symbol.

Answers

Answer 1

Answer:

Multiply both sides by -2 and reverse the inequality symbol.

Step-by-step explanation:

To isolate w, multiply both sides by the reverse of -1/2 (because -1/2*2=1 ), which is -2

When multiplying or dividing by negatives, you must reverse the inequality symbol as well.

Answer 2

To isolate the variable, you multiply both sides by -2 and reverse the inequality symbol.

Isolating variables in inequality

Isolation of variables means making the variable the subject of the formula from the given expression.

Given the inequality expression -1/2 w < 12

To make w the subject of the formula, we will have to multiply both sides by -2 to have;

-1/2 w * -2 > 12 * -2
w > -24

Hence to isolate the variable, you multiply both sides by -2 and reverse the inequality symbol.

Learn more on inequality here: https://brainly.com/question/11613554

Related Questions

Subtract and simplify. Show work
(-5y^2 – 9y – 4) - (-2y^2– y + 8)

Answers

Subtract:-8y+2y^2-37 Explanation: you will start off by simplifying each term so you would raise 5 to the power of 2 and get -1x25-9y-4-(-2y2-y+8) and you then multiply -1 by 25 so you would do -25-9y-4-(-2y^2-y+8) and then you would apply distributive property so you would do -25-9y-4+(2y^2)- -y-1x8 and then you simplify and get -25-9y-4+2y^2+y-8 and lastly you would simplify by adding terms so you would subtract 4 from -25 so do −9y-29+2y^2+y-8. And then add -9y and y by doing -8y-29+2y^2-8 and subtract 8 from 29 and get your answer as -8y+2y^2-37

what is the probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw. give your answer as a ratio reduced to simplest terms.

Answers

The probability that both marbles are yellow marbles is 1/25

How to determine the probability?

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P = 2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

Answers

-14x > -3
x < 3/14
Because you need to flip the sign when dividing by a negative number.

what is 32 divided by 13? please help!

Answers

Answer:

Step-by-step explanation:

32/13 = 2 6/13

Plz help will mark brainliest

Answers

Answer:

15m

Step-by-step explanation:

Since the square has an area of 9m^2 it has to have sides that are 3m. There are 3 sides that are 3m. An equilateral triangle has the same sides so it has 2 sides that are 3m. There are 5 sides that are 3m. The perimeter is 15m.

A house has increased in value by 28% since it was purchase. if the current value is $416,000, what was the value when it what was purchased?

Answers

Answer: 300,000

Step-by-step explanation:

Hi I need help with this one!!!!

Answers

Answer:

Daniel can afford 12 rides

Step-by-step explanation:

So we would take his 22 dollars and subtract 4 for admission leaving us at 18\

Then we would divide 18 by 1.50 and we would get 12

Amelia orders pancakes, a side of bacon, and orange juice. She also says that she will take care of the tax. How much does she owe?

Answers

Answer:

we need numbers please is this the full question?

Simplify the expression:
2 (5x) +7

Answers

Answer:

Step-by-step explanation:

to simplify you need to remove the parenthesis first , 2(5x)+7=

10x+7

who ever answers this will get 20 points and a 5 star rating
Seren draws a chick on graph paper using the scale shown below. The chick has a height of 5\,\text{cm}5cm5, start text, c, m, end text in the drawing.
Which of the following drawings best represents the height of the chick at the scale Seren chose?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
A chick on graph paper. A line labeled "10 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."

(Choice B)
B
A chick on graph paper. A line labeled "2.5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."

(Choice C)
C
A chick on graph paper. A line labeled "5 units" shows the height of the chick. A 1-unit long scale is labeled, "half centimeter."

Answers

Answer:

its B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the unit rate at which Jonas is paid.

Answers

Answer:

5 dollars per hour

Step-by-step explanation:

Answer:

5 per hour

Step-by-step explanation:

Divide 10 by 2 to get 5

Help I will be marking brainliest!!!!

A. 119.92
B. 80.49
C. 113.68
D. 175.49

Answers

Answer: D) 175.49

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

Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

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

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .

Answers

Answer:

1 in

Step-by-step explanation:

Given the expression to calculate the radius r of the base of a cone is given by the equation

r=(3V/piH)

v is the volume = 5in^3

H = 4in

pi = 3.14

Substitute

r = 3(5)/3.14(4)

r = 15/12.56

r = 1.19

r = 1in to the nearest inch

Help Pleases!!
2^4x=8^x-3

Answers

Answer:

Step-by-step explanation:

If you change the bases to the same number, the exponents must equal each other.

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.

Answers

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

Each time you take your dog to the dog park it costs $1.75. Write an expression that represents the cost of n visits to the dog park.

Answers

Answer:

1.75n

For each visit it costs 1.75, so n visits would be the product of the two.

Step-by-step explanation:

Answer:

1.75n

Step-by-step explanation:

"every time" means multiplication.

Total cost is $1.75 multiplied by n number of trips.

(for instance, if you take 3 trips, it would be 1.75+1.75+1.75, or 1.75*3)

Juan was given a gift card for a coffee shop. Each morning, Juan uses the card to buy one cup of coffee. Each cup of coffee costs $2 and the original amount of money on the gift card was $30. Write an equation for A, A, in terms of x,x, representing the amount of money remaining on the card after buying xx cups of coffee.

Answers

Answer:

30 - 2xx = x

Step-by-step explanation:

Answer:

A= 30 - 2x

Step-by-step explanation:

The straight line, Line L has an equation of 4x+y=7. Find the equation of the straight line perpendicular to Line L that passes through (-8,3)

Answers

Answer:

Step-by-step explanation:

y = -4x + 7

perp. 1/4

y - 3 = 1/4(x + 8)

y - 3 = 1/4x + 2

y = 1/4x + 5

The equation of the perpendicular line is y = 1/4x + 5

How to determine the line equation?

The equation is given as:

4x + y = 7

Make y the subject

y = -4x + 7

A linear equation is represented as:

y = mx + c

Where m represents the slope.

This means that:

m = -4

A line perpendicular to 4x + y = 7 will have a slope of:

Slope = -1/m

This gives

Slope = 1/4

The equation of the line is then calculated as:

y = Slope(x - x1) + y1

This gives

y = 1/4(x + 8) + 3

Expand

y = 1/4x + 2 + 3

Evaluate

y = 1/4x + 5

Hence, the equation of the perpendicular line is y = 1/4x + 5

Answers

The answer is 8/125.....

The PTA is sponsoring an 8th grade
dance and has asked your help to
select a D.J. for the big event. You
called around and found that Dylan
the D.J. charges a $100 set-up fee plus
$17.50 per hour. Mya's MC Mobile hos a
$125.00 set-up fee, plus $10 per hour.
Which D.J. would you recommend to
the PTA? Be sure to clearly support
your recommendation mothemotically

Answers

It depends on how long the dance is expected to last.
100+17.50t = 125+10t
7.50t = 25
t = 3⅓ hours

Dylan costs less than Mya for up to three hours. For four or more hours, Mya will charge less than Dylan.

answer and ill mark you BRAINIEST
match each shape to the formula

shapes:

A. trapezoid
B. circle
C. rectangle
D. semi circle
E. triangle

formulas:
1. A= πr²
2. A= 1/2 base x height
3. A= 1/2 (base 1 + base 2 ) x height
4. A= 1/2 πr²
5. A= length x width

Answers

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid - A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

Answer:

(see below)

Step-by-step explanation:

A) Trapezoid

3. A = 1/2 (base 1 + base 2 ) x height

B) Circle

1. A = πr²

C) Rectangle

5. A = length x width

D) Semicircle

4. A = 1/2 πr²

This is half of a circle, so it would be 1/2 of the area of a circle, hence the 1/2.

E) Triangle

2. A = 1/2 base x height

If you cut a rectangle in half diagonally, you have two triangles. So it's half the area of a rectangle. This is one way to think about it, hence the 1/2.

please help me it's urgent

Answers

Q4:

second choice

Q5:

first choice

Hope I helped :)

I REALLY NEED HELP WITH THIS QUESTION

Answers

Answer:

$1.75

Step-by-step explanation:

4b+n=12;2b+3n=18.5

Step: Solve4b+n=12for n:

4b+n+−4b=12+−4b(Add -4b to both sides)

n=−4b+12

Step: Substitute−4b+12fornin2b+3n=18.5:

2b+3n=18.5

2b+3(−4b+12)=18.5

−10b+36=18.5(Simplify both sides of the equation)

−10b+36+−36=18.5+−36(Add -36 to both sides)

−10b=−17.5

(Divide both sides by -10)

b=1.75

Step: Substitute1.75forbinn=−4b+12:

n=−4b+12

n=(−4)(1.75)+12

n=5(Simplify both sides of the equation)

Answer:

b=1.75 and n=5

Th GCF of two numbers is 3 and the LCM is 180. If one of the other number is 45, what is the other numbers?

Answers

Answer:

x = 12

Step-by-step explanation:

Given that,

GCF of HCF of two numbers = 3

LCM of numbers = 180

First number = 45

Let another number be x.

So,

HCF×LCM = first number × second number

[tex]x=\dfrac{3\times 180}{45}\\\\x=12[/tex]

So, the other number is 12.

4(6-5x)^2+11=20

quadratic equations

Answers

Answer:

(x-114.5), (x-14.05)

Step-by-step explanation:

Answer attached

If u want me to give you the step to step explanation let me know

HELP ME PLeaseee!!!!

Answers

6th of the term of 4th

Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

An angle measures 170° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer:

175 , 5

Step-by-step explanation:

Ms. Sims made 32 braids in 40 minutes. At this rate, how many braids would she make in 60 minutes?

Answers

Answer: 48 in 1 hour

Step-by-step explanation:

32 divided by 40 = 0.8

0.8 times 60 = 48

hope this helped you out :))

Plz help I don’t want to fail

Answers

Answer:C

Step-by-step explanation:

Answer:

C. 3, 2, 0, -1, -3

Step-by-step explanation:

The more negative a number is, the lesser it is.

Count backwards: 4, 3, 2, 1, 0, -1, -2, -3, -4, ...

I hope this helped!

The coorrdinate grids show the cost of different numbers of bookmarks .How many cents do 4 bookmarks cost?

Answers

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is shown in the coordinate grid. x represents the number of bookmarks and y represents the cost of each bookmark in cents.

The equation of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the coordinate grid, it has the points (2, 30) and (7, 90). Therefore, the equation is:

[tex]y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2)\\\\y-30=12x-24\\\\y=12x+6[/tex]

Therefore the cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 48 + 6

y = 54 cents

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