Which equations shows a proportional relationship between x and y.
y=6x
y= x - 5

Answer:

The polynomial function from number 2 is:

f(x) = 4x^3 - 5x^2 + 2x - 1

To write this in standard form, we need to arrange the terms in descending order of degree:

f(x) = 4x^3 - 5x^2 + 2x - 1

f(x) = 4x^3 + (-5x^2 + 2x - 1)

f(x) = 4x^3 - 5x^2 + 2x - 1

So the standard form of the polynomial function is:

f(x) = 4x^3 - 5x^2 + 2x - 1

The bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.

What is the percentage?

Percentage is a way to express a number as a fraction of 100. It is often used to describe the relationship between two quantities, or to express a rate or change in a quantity over time. The symbol for percent is "%".

For example, if a pizza is marked up by 20%, it means the price has increased by 20/100 or 1/5 of the original price. If a student scores 80% on a test, it means they got 80 out of 100 questions correct. If a stock's value increases by 10%, it means the value has gone up by 10/100 or 1/10 of the original value.

The current admission price is $3 + $3 * 50% = $3 + $1.50 = $4.50.

150% of the price 5 years ago is $3 * 150% = $3 * 1.5 = $4.50.

So, the bar diagram representing 150% of the price 5 years ago would be a bar with a height of $4.50.

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Answer:

2/36

Step-by-step explanation:

there are a total of 36 possible rolls

and the only to ways to get an 11 on two fair six-sided dice is when it is (5,6) or (6,5)

Answer:

The motorist's rate is:

rate = distance / time

where distance is measured in kilometers and time is measured in hours.

We are given that the motorist travels 228 kilometers in 6 hours, so we can use this information to find the rate:

rate = distance / time = 228 km / 6 hours = 38 km/hour

To find how long it will take the motorist to travel an additional 247 kilometers at this rate, we can use the same formula and solve for time:

time = distance / rate = 247 km / 38 km/hour ≈ 6.5 hours

Therefore, it will take the motorist approximately 6.5 hours to travel an additional 247 kilometers at the same rate of 38 km/hour.

You have the following equation:

3(2x-5)-x = -7(x+3)

In order to solve the previous equation, you proceed as follow:

3(2x-5)-x = -7(x+3) apply distribution property to eliminate parenthesis

(3)(2x) + (3)(-5) - x = (-7)(x) + (-7)(3)

6x - 15 - x = -7x - 21 simplify like terms left side

5x - 15 = -7x - 21 add 7x both sides

5x + 7x - 15 = - 21

12x - 15 = -21 add 15 both sides

12x = -21 + 15

12x = - 6 divide by 12 both sides

x = - 6/12

x = -1/2

Hence, the solution for x in the given equation is x = -1/2

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

The percentage of women with weights that are within the limits is:

60.93%

Can be calculated using the normal distribution formula. First, we need to find the z-scores for both the lower and upper limits:

z-score for lower limit = (132.4 - 168.7) / 48.8 = -0.74

z-score for upper limit = (217 - 168.7) / 48.8 = 0.99

Next, we can use a z-table to find the corresponding probabilities for these z-scores:

Probability for lower limit = 0.2296

Probability for upper limit = 0.8389

Finally, we can subtract the lower probability from the upper probability to find the percentage of women with weights that are within those limits:
Percentage = 0.8389 - 0.2296 = 0.6093

Therefore, approximately 60.93% of women have weights that are within the limits of 132.4 lb and 217 lb.

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Answer: they have the same number in them for example -4 and 4

Step-by-step explanation:

a^2=b^2+c^2

×=11; a^2=(6×11+7)^2+(3×11)^2

a^2=6418

so the length is estimately 80.11

Answer:

Each term is 3 times bigger than the last.

Step-by-step explanation:

\(4\times3=12\\12\times3=36\\36\times3=108\\108\times3=324\)

Answer:

15/100 = 15%

85 × 15% = 12.75 (Tip being Payed)

12.75 + 85 = $97.75

$97.75 will be payed as the total bill including the tip.

$12.75 was just the amount getting tipped.

Step-by-step explanation:

This is what I believe is correct

Given:

Requirement:

To check whether (x-2) is a factor of a given equation or not using remainder method.

Explanation:

By putting x = 2 in the given equation we get

Since f(2) = -6 it meant it will give -6 as a remainder after dividing the equation by (x - 2)

Hence, (x - 2) is not a factor of the given equation.

Final Answer:

(x - 2) is not a factor of the given equation.

Answer:

it's 56 duh

Step-by-step explanation:

pls give me brainliest j need it

pls say the question more easily

The surface area of the square pyramid using given dimensions is given by option a.  3,456m².

In the square pyramid,

Using Pythagoras theorem,

Height of the square pyramid is equal to,

In a right angled triangle,

Base = 18m

Hypotenuse = 30m

Height = √ Hypotenuse ² - base ²

Substitute the values we have,

⇒ height = √ 30² - 18²

⇒ height = √576

⇒ height =  24m

Dimensions of square pyramid are,

Base edge 'b' = 36m

height of the pyramid 'h' = 24m

Surface area of square Pyramid = b² + 2b√(b²/4) + h²

Substitute the values we have,

⇒Surface area of square Pyramid

= 36² + 2(36)√((36)²/4) + (24)²

= 1296 + 72√324 + 576

= 1296 + 2160

= 3,456m²

Therefore, the surface area of square Pyramid is equal to option a.  3,456m².

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When 91 is divided by 1 1/9 the quotient is closest to 81.

What is a quotient?

When we divide a number by  the dividend the result of the division is known as quotient.

We are given a number as 91

We have to divide 91 by 1 1/9

We get, \(\frac{91}{\frac{10}{9} }\)

On simplifying the above equation we get,

\(\frac{91}{10}\)·\(9\)

\(=\frac{819}{10}\)

=81.9

This can be rounded off as this value is close to 82.

Hence when 91 is divided by 1 1/9 the quotient is closest to 82.

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The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

its b

Step-by-step explanation:

i got answer wrong and it was b

There are 9/10 groups of Two-thirds are in Three-fifths.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

There are groups of Two-thirds are in Three-fifths.

Now,

Let x groups of Two-thirds are in Three-fifths.

Hence, we can formulate;

⇒ x = 3/5 ÷ 2/3

⇒ x = 3/5 × 3/2

⇒ x = 9/10

Thus, Number of groups of Two-thirds are in Three-fifths = 9/10

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Step-by-step explanation:

C = root of 7^2 + 4^2

= 8.06

Ans = A

Step-by-step explanation:

the inner and the outer angle at a vertex of a triangle are complementary angles or a linear pair of angles.

that means together they have 180°.

180 = inner + outer = 48 + outer

outer = 132°

the exterior angle is 132°.

The equation shows that the number of toys that must be bought for them to have equal profit will be 212 toys.

From the information, it should be noted that the equation that can be used to represent the information about Jaclyn company will be:

= 2125 + (49.99 × x)

= 2125 + 49.99x

The equation that can be used to represent the information about Richie company will be:

= (39.95 × x)

= 39.95x

Therefore, we will equate both equations:

2125 + 49.99x = 39.95x

49.99x - 39.95x =2125

10.04x = 2125

x = 212

Therefore, the number of toys that must be bought for them to have equal profit will be 212 toys.

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Answer: False!

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Rhombus as a quadrilateral with equal sides. The angles may or may not be right-angled.

However, a square is a quadrilateral with equal sides and all angles are right angles.

Hence, every square is a rhombus but the opposite is not true.

Answer:

x<-9

Step-by-step explanation:

subtract the 7x from the right side to bring it over to the left side to get:

2x-7<-25

then add the 7 from the left side to bring it over to the right side to get:

2x<-18 and then divide both sides by 2 to get the final inequality to be:

x<-9

Therefore, the solved inequality is x < -9.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

26°

Step-by-step explanation:

90°+64°+x°=180° (Sum of all the angles in a right angled triangle=180°)

154°+x°=180°

x°=180-154°

x°=26°

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A square root must be positive or equal to 0

x + 4 ≥ 0

x ≥ -4

1-x > 0

-x > - 1

x < 1

If we unite the two solutions, we have

-4 ≤ x < 1

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

The probability that the first MP3 song heard is the fifth song played is:

\(\frac{C^9^0_4.C^1^0_1}{C^1^0^0_5}\) =  \(\frac{2,555,190. 10}{75,287,520}\) ≈ 0.3394

The probability that there are exactly two MP3 songs in the first five songs played is:

\(\frac{C^1^0_2.C^9^0_3}{C^1^0^0_5}\) \(= \frac{45.117,480}{75,287,520}\) ≈ 0.0702

Now, According to the question:

The 1st MP3 player songs heard is the 5th song played means that first 4 songs are not MP3 songs (there are 100 - 10 = 90 such songs) and the 5th song is MP3 song (there are 10 such songs). Hence, the probability that the first MP3 song heard is the fifth song played is:

\(\frac{C^9^0_4.C^1^0_1}{C^1^0^0_5}\) =  \(\frac{2,555,190. 10}{75,287,520}\) ≈ 0.3394

There are exactly two MP3 songs in the first five songs played means there are 2 MP3 songs and 3 not MP3 songs (the number when these songs are played do not matter). Hence, the probability that there are exactly two MP3 songs in the first five songs played is:

\(\frac{C^1^0_2.C^9^0_3}{C^1^0^0_5}\) \(= \frac{45.117,480}{75,287,520}\) ≈ 0.0702

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