You get paid $12.50 an hour at your job and the newest video game costs $50.00.
Find the inequality that represents the number of hours you will need to work in order
to afford the video game. Use x as the variable.

Answer:

Polygons ABCD and EFGH have the same shape and always different sizes.

Step-by-step explanation:

Hope this helps:)

The lengths of sides of the triangular garden are 4.5 inches, 6 inches, and 7.5 inches, respectively.

To find the lengths of the sides of the triangular garden, we need to use the given information about the ratio and the perimeter.

Let's assign variables to the lengths of the sides. We can use 3x, 4x, and 5x to represent the lengths of the sides, where x is a common multiplier.

According to the given ratio, we have:

Side 1: 3x

Side 2: 4x

Side 3: 5x

The perimeter of a triangle is the sum of the lengths of its sides. In this case, the perimeter is given as 18 inches.

To find the lengths of the sides, we can set up an equation:

3x + 4x + 5x = 18

Simplifying the equation, we get:

12x = 18

Dividing both sides of the equation by 12, we find:

x = 1.5

Now, we can substitute the value of x back into the expressions for the lengths of the sides:

Side 1: 3(1.5) = 4.5 inches

Side 2: 4(1.5) = 6 inches

Side 3: 5(1.5) = 7.5 inches

Know more about the common multiplier.

https://brainly.com/question/10749076

#SPJ11

Answer:

54

Step-by-step explanation:

divide the 2 numbers

Answer:

$12

Step-by-step explanation:

Answer:

The last one (2/3 and 8/12)

Step-by-step explanation:

When you reduce 8/12, you would get 2/3. If you multiply 2/3, you would get 8/12. Therefore, this ratio is proportional.

Have a good day :)

Answer:

11) 20%

12)40

13)19

14)216

15)25%

16) 50

17) 986

18)220%

19)40

20)100%

Step-by-step explanation:

with percentages it is part divided by the whole times 100 so an example would be 73 divided by 365 times 100

Answer:

11) 20%

12) 40

13) 19

14) 216

15) 25%

16) 50

17) 986

18) 220%

19) 40

20) 100%

Here's a fat rat in a hat

According to the question the maximum error in the calculated area of the rectangle is \(\(4.7 \, \text{cm}^2\).\)

Step 1: The area of the rectangle is given by the formula:

\(\[A = xy\]\)

To estimate the maximum error in the calculated area, we can use differentials. Let's denote the length and width measurements as \(\(x\) and \(y\)\), respectively, and the corresponding maximum errors as \(\(\Delta x\) and \(\Delta y\).\)

Step 2: Express the area as a function of \(\(x\) and \(y\):\)

\(\[A = xy\]\)

Step 3: Take the differential of the area with respect to \(\(x\):\)

\(\[dA = \frac{\partial A}{\partial x} dx + \frac{\partial A}{\partial y} dy\]\)

Since \(\(\frac{\partial A}{\partial y}\)\) is 0 because the area does not directly depend on \(\(y\)\), the equation simplifies to:

\(\[dA = \frac{\partial A}{\partial x} dx\]\)

Step 4: Find \(\(\frac{\partial A}{\partial x}\)\) by differentiating the area function:

\(\[\frac{\partial A}{\partial x} = y\]\)

Step 5: Substitute the given values into the equation:

\(\[\Delta A = \frac{\partial A}{\partial x} \Delta x\]\)

\(\[\Delta A = y \Delta x\]\)

Step 6: Substitute the measured values for \(\(y\) and \(\Delta x\):\)

\(\[\Delta A = (47 \, \text{cm})(0.1 \, \text{cm})\]\)

Step 7: Calculate the maximum error in the area:

\(\[\Delta A = 4.7 \, \text{cm}^2\]\)

Therefore, the maximum error in the calculated area of the rectangle is \(\(4.7 \, \text{cm}^2\).\)

To know more about function visit -

brainly.com/question/17073731

#SPJ11

8/9 = 0.888888....

7/18 = 0.388888888889

10/16 = 0.625

Ascending order - means going up, smallest to largest. (Imagine climbing a ladder, where you start of low, then, go higher up the ladder.)

Thus, answer is 7/18, 10/16, 8/9

Hope this helps!

Answer:

X side of the triangle in the diagram is the hypotenuse because it's side is long than other side

It is a multiple of 30 so it could be 30 × 12= 360, 30 × 13 =390

All these are multiple of 30 and if we round it to the nearest hundred it will be 400 so 360, 390 is your answer.

Answer:

1/6

Step-by-step explanation:

the hint helps alot
as every 6 lb on earth is 1 lb on moon

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

Answer:

The answer is 3

Step-by-step explanation:

If you combine like terms you get 22x - 6 = 60

Then you set the numbers and x's apart = 22x = 66

Then you divide and get 3

Answer:

130.

Step-by-step explanation:

18 + 4(28(

= 18 + 4 * 28   Multiplication is done before addition so we have:

18 + 112

= 130.

Use the distributive property and expand 28, then distribute the 4 to 20 and the 4 to 8. Then you have 18 + 80 + 32. Use commutative property to reverse the order of 32 and 80 so that 18 and 32 are friendly numbers to add.

The steps of finding remainder are given below:

1) Subtract the divisor from the dividend digit.

2) Divide the outcome by the divisor.

3) Deduct the outcome from the dividend that is being split.

4) To continue dividing, move the dividend's next digit downward.

What is remainder?

The amount that is "left over" after performing a calculation is referred to as the remainder in mathematics. The integer that remains after multiplying one integer by another to create an integer quotient is known as the remainder in mathematics.

Finding the rest is a simple process. Simply divide the number by another number that is one of its multiples to obtain the remainder.

Simply divide the last digit (the unit's digit) by 5 to determine the remainder when multiplying a number by 5. For instance, consider 3,569. The unit's digit, which comes last, is 9. To find the remainder, which is 4, divide 9 by 5.

Hence, the steps to find the remainder are,

1) Subtract the divisor from the dividend digit.

2) Divide the outcome by the divisor.

3) Deduct the outcome from the dividend that is being split.

4) To continue dividing, move the dividend's next digit downward.

To know more about remainder, click on the link

https://brainly.com/question/25289437

#SPJ4

If particular shipment of thousands of components actually has a 7% rate of defects, there is a 54.29% probability that this whole shipment will be accepted.

According to the company's acceptance sampling plan, 25 components are randomly chosen and tested from a shipment before the entire batch is accepted if there are no more than three defects. The probability of choosing a defective component from a sample of 25 is computed as follows, assuming that the shipment genuinely has a 7% defect rate:

P(defective) = 0.07

P(non-defective) = 0.93

Using the binomial distribution, we can calculate the probability of having 0, 1, or 2 defectives in a sample of 25:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= (0.93)²⁵ + 25(0.07)(0.93)²⁵ + (0.07)²(0.93)²³

= 0.5429

This means that there is a 54.29% chance of having 2 or fewer defectives in a sample of 25. Since the whole shipment will be accepted if there are fewer than 3 defectives in the sample, this is the probability that the whole shipment will be accepted. Therefore, there is a 54.29% chance that the company will accept the shipment based on their acceptance sampling plan.

Learn more about probability :

https://brainly.com/question/11234923

#SPJ4

Answer:

112

Step-by-step explanation:

1:8

14:x

8x14=112

X=112

Answer:

112 m

Step-by-step explanation:

1 cm : 8 m

14 cm : ?

= 14 x 8

= 112 m

Answer:

you can do 750000 x 0.25

the answer is 187500

Answer:

12+12+14+15+16+18+20+23=130

130÷8=16.25

aanswer=16

you move 89 as its anomalous

too higher than the other numbers

0.0764 is the probability that the scores differ by 5 or more points in either direction

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

According to the information, the mean and standard deviation of "X" are:

μ(X) = 24

σ (X) = 2

We have to find the probability the scores differ by 5 or more points on either direction.

Consider X₁ and X₂ as the random variable, which showing the scores of Leon and Fred.

D = X₁ - X₂

According to the information the two scores are independent

The mean of μ(D) = 0

The standard deviation σ(D) = 2.828

Let's standardize D = -5

z = [x - μ(D)] /  σ(D)

z = - 1.77

Let's standardize D = 5

z = [x - μ(D)] /  σ(D)

z = 1.77

Using a table of typical normal probabilities as a guide:

= P (D ≤ -5) or P (D ≥ 5)

= P (z ≤ -1.77) + P (z ≥ 1.77)

= P (z ≥ 1.77) + P (z ≥ 1.77)

= 2P (z ≥ 1.77)
= 2(1 - P (z ≤ 1.77))

= 2 (1 - 0.9618)

= 0.0764

To know more about probability refer to:

brainly.com/question/24756209

#SPJ4

The inequality that represents the possible weight of the Maine Coon is 828 ≤ x ≤ 840

Let x be the weight of Linda's Maine Coon in pounds.

Since the difference in weight between the two cats is at least 6 pounds, we can write the following inequality:

|x - 834| ≥ 6

This inequality can be interpreted as "the absolute value of the difference between the weight of the Maine Coon and 834 pounds is greater than or equal to 6".

Simplifying the inequality, we get:

-6 ≤ x - 834 ≤ 6

Adding 834 to each side of the inequality, we get:

828 ≤ x ≤ 840

Therefore, the possible weight of Linda's Maine Coon is between 828 and 840 pounds, inclusive.

Learn more about inequality here

brainly.com/question/30228778

#SPJ4

Answer:

y = 7x -9

Step-by-step explanation:

This is a linear equation.

The change in y over the change in x is 9.  The y-intercept will be (0, -9).

If you follow the pattern as x is -1 and you go up 1 to zero, the the y goes up 7 from -16 to get -9

Answer:

y = 7x - 9

Step-by-step explanation:

y = 7x - 9

Let checks

-16 = 7(-1) - 9

-16 = -16

-23 = 7(-2) - 9

-23 = -23

So, y = 7x - 9 is the correct answer.

Answer:

\( - 2x + 28\)

Step-by-step explanation:

1) Expand by distributing terms.

\( - 2x - 2 \times - 14\)

2) Simplify 2 × -14 to -28.

\( - 2x - ( - 28)\)

3) Remove parentheses.

\( - 2x + 28\)

Therefor, the answer is - 2x + 28.

The magnitude of the vector sum of the four vectors = 278.158M

What is Magnitude?

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the displayed outcome of an ordering—of the class of objects to which it belongs.

A = 82(cos 64 degree x +sin 64 degree y )

= 35.946 x +73.701y

B = 82 X

C= 82 Xx

D= 82 x (cos 64 degree x +sin 64 degree y)

= 35.946 x +73.701y

net = A+B+C+D

= X (35.946+82+82+35.946) + (2*73.701)

=235.892 X + 147.402Y

Magnitute = 278.158m

To learn more about Sides visit:

brainly.com/question/29082532

#SPJ4

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

Learn more about the function at

https://brainly.com/question/32520165

#SPJ11

Answer:

The inequality that represents the statement is;

Given the statement;

"2 is less than b"

Writing an inequality that represents the statement, we have;

4 1/4 ÷ 3/4 is the same as 4 1/4 x 4/3

To solve this, first you have to transform the mixed number into a fraction, as follows:

then:

The midpoint of AB is M(-4, -3). If the coordinates of A are (−1,−2), then B has coordinates of (-2, -7/3)

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

Line AB has a midpoint, M.

A is (-1, -2)

B is unknown, M is(−4,−3)

Let's assume straight line of the form y=mx+b, where m is the slope.

Rise = (-3-(-2))= -1

Run = (-4-(-1)) =  -3

Slope = (Rise/Run) = (1/3)

The line becomes y=(1/3)x+b

Calculate b, the y-intercept (the value of y when x is 0)

y=(1/3)x+b

-2 = (1/3)(-1)+b

b = -2 + (1/3)

b = -5/3

The equation becomes:

y=(1/3)x - -5/3

Find the value of y for x=-2:

y=(1/3)x - -5/3

y=(1/3)(-2) - 5/3

y= -7/3

B has coordinates of (-2, -7/3)

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ1

The value of x that will make A parallel to B is getting by equating the sum of angles to the 180. so, the value of x is 70

Given A = 2x+50 and B = 5x-80 are the angles of the triangle . If we want to find the value of x then the sum of the angles are to be equated to the 180 degrees.

Triangle consists of 3 sides and 3 angles, 3 vertices and the triangle have many different properties. Triangle  have different types like equilateral, right-angled, obtuse triangle. So the value of x can be calculated by  adding the A and B angles and equated to the 180 degrees, if A and B are parallel to each other.

So, if A||B,

2x+50 + 5x-80 = 180

7x - 30 = 180

7x = 210

x = 30

So, therefore the value of x is 70

Learn more about angles here:

https://brainly.com/question/28451077

#SPJ4

Answer:

58%

Step-by-step explanation:

47/81 x 100%

≈ 58%

Hope it helps : )