1. Which equation represents a linear function?
a. 3y + x2 + x = 0
b. 4x + 2(y – 1) = 0
c. y = 12vx – 5
d. 2x3 + y = 9

Answer:$60

Step-by-step explanation:

48/4 = 12.

5 × 12 =60

Answer: exactly 100

Step-by-step explanation:

Answer:

500 CDs

Step-by-step explanation:

We have the ratio of [tex]15:6[/tex] for each worker. If you have a 40 hour work week, we can assume that they work 5 days a week. This means they have a 5*40=200 hours to work. If we multiply the ratio to get [tex]x:200[/tex]while it still equals our first one, we multiply and get 500 CDs.

Answer:

I'll tell u later

Step-by-step explanation:

Small number =x

Large number =11 plus x

Now from the question,

[tex]x + 11 + x = 57[/tex]

Therefore 2x plus 11= 57

2x= 57-11=46

X=46÷2=23

To find the two numbers where the sum is 57 and the larger number is 11 more than the smaller number, we set up equations based on the conditions. Solving these equations, we find that the smaller number is 23 and the larger number is 34.

The question involves finding two numbers given certain conditions: the sum of two numbers is 57, and the larger number is 11 more than the smaller number. To solve this, we can set up equations based on the given conditions and solve them step by step.

Let the smaller number be x and the larger number be y. We are given two equations based on the problem statement:

x + y = 57 (The sum of the two numbers is 57.)

y = x + 11 (The larger number is 11 more than the smaller number.)

Substituting the value of y from equation (2) into equation (1), we get:

x + (x + 11) = 57

2x + 11 = 57

2x = 46

x = 23

Now, using the value of x in equation (2) to find y:

y = 23 + 11 = 34

So, the smaller number is 23 and the larger number is 34.

Answer:

The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.

Step-by-step explanation:

Investment principal = US$ 6,000

Interest rate = 3.1% compounded annually = 0.031

Time = 23 years

For calculating the future value, we will use the following formula:

Future Value = Investment principal * (1 + r)ⁿ

Replacing with the real values, we have:

FV = 6,000 * (1 + 0.031)²³

FV = 6,000 *  (1 + 0.031)²³

FV = 6,000 * 2.018 (Rounding to three decimal places)

FV = US$ 12,108

The future value of an investment of US$ 6,000 after 23 years at 3.1% APR is US$ 12,108.

Answer:

Is not a right triangle

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the greater side (the hypotenuse)

a and b are the legs

Verify

we have

[tex]a=6\ cm\\b=10\ cm\\c=12\ cm[/tex]

substitute

[tex]12^2=6^2+10^2[/tex]

[tex]144=36+100[/tex]

[tex]144\neq 136[/tex]

so

The length sides of triangle not satisfy the Pythagorean Theorem

therefore

Is not a right triangle

Answer:

It'd be easier to explain if you gave an example, but when it asks what equivalent fractions are being represented in the shaded area , it's asking how much is shaded. So if you have a pizza half cheese, and half pepperoni and it's asking what part is pepperoni the answer would be 1/2. I hope you understood this. If you don't send the full question.

Step-by-step explanation:

Here are the solutions to the inequalities:

[tex]1. \(x < \frac{1}{4}\)[/tex]

[tex]2. \(x > 1\)[/tex]

[tex]3. \(x < \frac{1}{2}\)[/tex]

[tex]4. \(x < \frac{-1}{7}\)[/tex]

[tex]5. \(x > 15\)[/tex]

[tex]6. \(x < \frac{3}{8}\)[/tex]

[tex]7. \(s < -2\)[/tex]

[tex]8. \(s > 1\)[/tex]

[tex]9. \(t < 2\)[/tex]

[tex]10. \(x < 11\)[/tex]

[tex]11. \(x > 12\)[/tex]

[tex]12. \(x < 16\)[/tex]

[tex]13. \(r < 4\)[/tex]

[tex]14. \(s > 36\)[/tex]

[tex]15. \(x < 7\)[/tex]

Of course, I'd be happy to help you solve these inequalities! Let's go through each one step by step:

[tex]1. \(-8x + 2 > 0\)[/tex]

  First, let's isolate x:

[tex]\(-8x > -2\)[/tex]

  Divide both sides by -8, and remember to reverse the inequality sign:

[tex]\(x < \frac{-2}{-8}\) \\\(x < \frac{1}{4}\)[/tex]

[tex]2. \(+5x > x + 4\)[/tex]

  Subtract x from both sides:

[tex]\(+4x > 4\)[/tex]

  Divide both sides by 4, and remember to reverse the inequality sign:

[tex]\(x > \frac{4}{4}\) \\ \(x > 1\)[/tex]

[tex]3. \(12x + 4 < 10\)[/tex]

  Subtract 4 from both sides:

[tex]\(12x < 6\)[/tex]

  Divide both sides by 12:

[tex]\(x < \frac{6}{12}\)\\ \(x < \frac{1}{2}\)[/tex]

[tex]4. \(-10x + 5 - 4 > 4x + 3\)[/tex]

  Combine like terms:

[tex]\(-10x + 1 > 4x + 3\)[/tex]

  Subtract 1 from both sides:

[tex]\(-10x > 4x + 2\)[/tex]

  Add 10x to both sides:

[tex]\(0 > 14x + 2\)[/tex]

  Subtract 2 from both sides:

[tex]\(-2 > 14x\)[/tex]

  Divide both sides by 14, and remember to reverse the inequality sign:

[tex]\(x < \frac{-2}{14}\) \\\(x < \frac{-1}{7}\)[/tex]

[tex]5. \(6x + 5 < 7x - 10\)[/tex]

  Subtract 6x from both sides:

 [tex]\(5 < x - 10\)[/tex]

  Add 10 to both sides:

  [tex]\(15 < x\)[/tex]

6.[tex]\(24x - 4 < 8x + 2\)[/tex]

  Subtract 8x from both sides:

  [tex]\(16x - 4 < 2\)[/tex]

  Add 4 to both sides:

  [tex]\(16x < 6\)[/tex]

  Divide both sides by 16:

 [tex]\(x < \frac{6}{16}\) \\\(x < \frac{3}{8}\)[/tex]

7. [tex]\(-3s + 3 > 9\)[/tex]

  Subtract 3 from both sides:

  -3s > 6

  Divide both sides by -3, and remember to reverse the inequality sign:

  [tex]\(s < \frac{6}{-3}\) \\ \(s < -2\)[/tex]

8. [tex]\(4s + 2s > 6\)[/tex]

  Combine like terms:

  6s > 6

  Divide both sides by 6:

 [tex]\(s > \frac{6}{6}\) \\ \(s > 1\)[/tex]

9. [tex]\(6t < 12\)[/tex]

  Divide both sides by 6:

 [tex]\(t < \frac{12}{6}\)\\ \(t < 2\)[/tex]

10. 11x < 121

   Divide both sides by 11:

   [tex]\(x < \frac{121}{11}\)\\ \(x < 11\)[/tex]

11. 3x > 36

   Divide both sides by 3:

  [tex]\(x > \frac{36}{3}\) \\ \(x > 12\)[/tex]

12. 25x < 400

   Divide both sides by 25:

   [tex]\(x < \frac{400}{25}\) \\\(x < 16\)[/tex]

13. [tex]\(16r < 8(8)\)[/tex]

   Simplify the right side:

   16r < 64

   Divide both sides by 16:

   [tex]\(r < \frac{64}{16}\) \\ \(r < 4\)[/tex]

14. 6s > 216

   Divide both sides by 6:

  [tex]\(s > \frac{216}{6}\) \\ \(s > 36\)[/tex]

15. 9x < 63

   Divide both sides by 9:

  [tex]\(x < \frac{63}{9}\) \\ \(x < 7\)[/tex]

Answer:

Option B) AB ≅ BC

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal angles

In this problem Triangle ABC is an isosceles triangle,

because

∠B≅∠C

therefore

The opposite sides to ∠B and ∠C are congruent

AB≅AC

A)  AB ≅ AC

The base angles are equal; therefore, the sides opposite the base angles are congruent.

Answer:

6ft 2ins

Step-by-step explanation:

ins:9+5=14

ft:2+3=5

now you can add another foot because there is 12 ins in 1 foot making the answer 6 feet and 2 inches

Answer:

800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

Step-by-step explanation:

Given:

A dairy wishes to mix together 1,000 pints of milk that contains 8% butterfat.

If the mixture is to be made from milk containing 5% butterfat, and cream

containing 20% butterfat.

Now, to find the pints of each is needed.

Let the pints of 5% butterfat be [tex]x.[/tex]

And the pints of 20% butterfat be [tex]y.[/tex]

So, the total pints of milk:

[tex]x+y=1000[/tex]

[tex]x=1000-y[/tex]  ......(1)

As, given:

1,000 pints of milk that contains 8% butterfat.

The mixture of milk containing 5% butterfat, and cream containing 20% butterfat.

According to question:

[tex]5(x)+20(y)=8(1000)[/tex]

[tex]5x+20y=8000[/tex]

Substituting the value of [tex]x[/tex] from equation (1):

[tex]5(1000-y)+20y=8000[/tex]

[tex]5000-5y+20y=8000[/tex]

[tex]5000+15y=8000[/tex]

Subtracting both sides by 5000 we get:

[tex]15y=3000[/tex]

Dividing both sides by 15 we get:

[tex]y=200.[/tex]

The pints of 20% butterfat = 200 pints.

Now, to get the pints of 5% butterfat we put the value of [tex]y[/tex] in equation (1):

[tex]x=1000-y[/tex]

[tex]x=1000-200[/tex]

[tex]x=800.[/tex]

The pints of 5% butterfat = 800 pints.

Therefore, 800 pints of 5% butterfat and 200 pints of 20% butterfat is needed.

Answer: $12

Step-by-step explanation: $6 x 2 = $12

Hope this helps!

Answer:

$12

Step-by-step explanation:

6x=6(2)=12

Answer:

72.64°

Step-by-step explanation:

Tan θ 16/5

θ= tan-1 (16/5)

=72.64°

The the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have given that a dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree

We have to find the angle of elevation

We can see in a figure.

What is the angle of elevation?

The angle between the horizontal line of sight and the object.

Use inverse trig because we are finding a missing angle.

use tan because we have given height of tree (one side) and a distance between dog and tree(second side)

TanΘ = opposite/adjacent

Apply inverse of tan both sides,

Θ = [tex]tan^{-1}[/tex](16/5)

Θ = 7.26

Therefore,

The the angle of elevation = 72.6 degrees

Learn more about the triangle visit;

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Answer:

First you have to find out how many he paints in 1 week.

Divide 91/7

You should then have 13 as your answer.

Then do 13 times 4 which would equal 52.

4 weeks = 52 portraits

If you want to see if it is right you can add 13 from 52 and once your at 7 you'll have 91.

Hope this helps! :)

Answer:

Step-by-step explanation:

What's the question?

Answer:

Part A) [tex]0.12x+2,700\geq 5,400[/tex]

Part B) see the explanation

Step-by-step explanation:

Part A) Write an inequality that will represent the amount of sales Ollie will need in order to cover his monthly expenses

Let

x ----> the amount of sales monthly

Remember that

[tex]12\%=12/100=0.12[/tex]

we know that

The fixed amount of $2,700 plus the commission of 12% on all of his sales for the month must be greater than or equal to $5,400

so

The inequality that represent this problem is

[tex]0.12x+2,700\geq 5,400[/tex]

Part B) Find the solution and describe what the graph would look like on a number line

we have

[tex]0.12x+2,700\geq 5,400[/tex]

Solve for x

subtract 2,700 both sides

[tex]0.12x \geq 5,400-2,700\\0.12x \geq 2,700[/tex]

Divide by 0.12 both sides

[tex]x\geq \$22,500[/tex]

The minimum amount of sales needed to cover his monthly expenses is $22,500

In a number line the solution is the shaded area at right of x=22,500 (closed circle)

see the attached figure to better understand the problem

x = 6, you can substitute/plug in 6 for x in the expression since x equals 6

4x + 6         Plug in 6 for x

4(6) + 6

24 + 6

30

It sounds like D) technology is the best fit here.

Technology is used to help provide people with the things they need, for example clean water.

Answer:

6.601

Step-by-step explanation:

16.1(0.41)

Answer:

50

Step-by-step explanation:

36 + I-14I

36 + 14

= 50

brainly plz

Answer:

50 :)

Step-by-step explanation:

Answer: one solution

Step-by-step explanation: Given :

2x + 3y = -3 ........................... equation 1

3x + 5y = -9 ........................... equation 2

Solving the system of linear equation by elimination method. We will multiply equation 1 by 3 and equation 2 by 2, then we have

6x + 9y = -9 ........................ equation 3

6x + 10y = -18 .................... equation 4

Subtract equation 3 from equation 4 , ten we have

y = -9

substitute y = -9 into equation 1 to find the value of x , that is

2x + 3y = -3

2x + 3 ( -9 ) = -3

2x - 27 = -3

2x = -3 + 27

2x = 24

x = 12

Therefore , x = 12 and y = -9 . This means that the system has one solution since there is only one value for x and one value for y

Answer: 27.69⁰

Step-by-step explanation:

Formula for finding the internal angle of a regular polygon is

( 2n - 4 )right angle triangle or

( 2n - 4 )90°, it can also be broken down by factorizing the expression since 2 is common,

( n - 2 )180 or supplementary

Now to find the value of n which correspond to the number of sides the polygon has, we equate the formula to the angle sum of the polygon.

( n - 2 ) × 180° = 1980°

open the bracket

180n° - 360° = 1980°

180n°            = 1980° + 360°

                    = 2340

To find n, divide by 180 which is the coefficient of n

               n   = ²³⁴⁰/₁₈₀

                    = 13

The polygon has 13, sides

To find the measure of each angle,

Recall, the sum total of external angle  = 360⁰

Therefore, to find the value of each of the angles, we divide 360 by n which is 13

                 ³⁶⁰/n

                = ³⁶⁰/₁₃

                = 27.69⁰

Answer:

Sides: 13 sides

Measure of each angle: 152.3

Step-by-step explanation:

Since we know the sum of the measures of the interior angles of a convex polygon to be 1,980, we can use the angle-sum theorem formula:

(n-2)180=?

to get our answer.

Equation:

(13-2)180 = 1,980

From here we continue using the angle sum theorem but instead with the intent of finding the measure of each individual interior angle (They will all be equal to the same degree)

Use formula

(n-2)180

     n

Equation:

(13-2)180

     13

This will give you the answer 152.3.

Sorry if this doesn't explain everything correctly or enough, but I hope I helped. :D

(Btw, if you want more of an explanation as how to properly use formulas to get the number of sides, you can go and check out the answer before mine! It really helps, this answer was mainly to just explain the second answer the way I did it that gave me the correct answer!)

Answer: 5

On god bro, Trust me

Answer: 100 - 24x

Step-by-step explanation:

The formula for calculating the perimeter of a square is given by :

P = 4l , where l is the length of the side.

Perimeter of square A will be

P = 4 ( 2x - 7 )

P = 8x - 28

Perimeter of square B will be ;

P = 4 ( -4x + 18 )

P = - 16x + 72

Perimeter of square B - Perimeter of square A implies

-16x + 72 - ( 8x - 28 )

-16x + 72 - 8x + 28

collecting the like terms

-16x - 8x + 72 + 28

-24x + 100

⇒ 100 - 24x

Final answer:

The unit price per ounce for a 5-pound bag of flour costing $7.95 is calculated by converting the bag's weight into ounces (80 ounces) and then dividing the total cost by the number of ounces, resulting in a unit price of approximately $0.10 per ounce.

Explanation:

To calculate the unit price per ounce for a 5-pound bag of flour that Benjamin bought for $7.95, we'll need to convert the weight from pounds to ounces and then divide the total cost by the total number of ounces. Firstly, we need to know the equivalence between pounds and ounces:

1 pound = 16 ounces

Benjamin purchased a 5-pound bag, so we perform the following calculation to convert pounds to ounces:

5 pounds × 16 ounces/pound = 80 ounces

Now, since the total cost of the bag is $7.95, we find the unit price by dividing this cost by the total number of ounces:

Unit price = $7.95 ÷ 80 ounces

To get the unit price per ounce, we perform the division:

Unit price per ounce = $0.099375

If necessary, you can round this to the nearest cent, which would be approximately $0.10 per ounce.

The right ans is A.hope it will help u.........

Answer: $115

Step-by-step explanation:

The overhead cost for the insurance company to insure a driver, given a 4.2% accident probability and an average accident cost of $29,500, with the premium of $1,354, is $115.

The subject matter is on determining the overhead cost for an insurance company. The probability of a driver having an accident is 4.2% or 0.042 in decimal. The cost of an accident is $29,500. Therefore, the expected cost of a claim is 0.042 * $29,500 = $1,239. The insurance premium paid by the driver is $1,354. The overhead cost for the company is the premium minus the expected cost of claim. So, the overhead cost is $1,354 - $1,239 = $115. Therefore, the answer is C. $115

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Answer:

-5 < t < 2

Step-by-step explanation:

working and graphical illustration shown in picture attached.

To explain, I simplified the two given inequalities by rearrangement and then combined them into one overall inequality.

Answer:

t<-6

t>-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The linear equation in standard form is written in the form :

ax + by = c

Therefore : 12x = -9y + 7 in standard form will be :

12x + 9y = 7

Step-by-step explanation:

the standard form is ax+by=c. So 12x=-9y+7 will be 12x+9y=7

Answer:

85

Step-by-step explanation:

Answer:

16π

Step-by-step explanation:

Circumference = 2πr. Since the radius, r, is unknown, we can get it from the area.

Area = πr² = 64π ;

Divide both sides by π. We are left with

r² = 64; To find r, take square root of both sides

Therefore, r = √64 = 8m;

Circumference = 2×π×8 = 16πm