Select the correct answer. In which table does y vary inversely with x?

Answer:

22%

Step-by-step explanation:

Well if the ramp can hold 1000lbs and 6 people all weight 780 in total (they must be really fat lol, but anyway) we can make the following fraction.

780/1000

So now we simplify the fraction to 39/50.

And do 39 / 50 = .78

To make that a percent we move the decimal point 2 times to the right so 78% of the ramp‘s capacity is being used meaning there is stil 22% capacity left.

*The box plots are shown in the attachment

Answer/Step-by-step explanation:

Range is the difference between the largest value of a data set and the lowest value in that data set.

In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.

For Crackers, the range = 100-70 = 30

For Cookies, the range = 115-70 = 45

Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).

Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

Step-by-step explanation:

[tex]5x - 1 = 6x - 9[/tex]

Move variable to L.H.S and change its sign:

[tex]5x - 6x - 1 = - 9[/tex]

Move constant to RHS and change its sign:

[tex]5x - 6x = - 9 + 1[/tex]

Combine like terms and simplify:

[tex] - x = - 8 \\ x = 8[/tex]

Hope this helps....

Good luck on your assignment...

Answer:

(2, -3)

Step-by-step explanation:

These are the steps I used:

(6x+2y=6) x3 -> 18x+6y=18

(7x+3y=5) x2 -> 14x+6y=10

When you subtract the equations you get:

4x=8

x=2

The solution to the system of equations is -3 and -2

The correct option is A

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+2y=6 is equation (1)

7x+3y=5 is equation (2)

Multiplying equation (1) by (3)

18x+6y=18 is equation(3)

By multiplying (2) by 2

14x+6y=10 is equation (4)

Substrate equation (4) from (3)

4x=8 Now, divide both sides by 4

X=2

Substitute x=2 in (1)

6(2)+2y=6

12+2y=6

Substrate 12 from LHS and RHS

2y=-6

Divide both sides by 2

y=-3

Hence x=2 and y=-3

learn more about system of equations here;

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Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

Answer:

The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.

Answer:

correct answer is above :>

Step-by-step explanation:

Answer:

[tex]\dfrac{6}{7}[/tex].

Step-by-step explanation:

It is given that the sum of first two terms of an infinite GP is 6.

nth term of a GP is

[tex]a_n=ar^{n-1}[/tex]

[tex]a+ar=6[/tex]     ...(1)

Each term is 5 times the sum of the succeeding terms.

[tex]a_n=5(a_{n+1}+a_{n+2}+...+\infty)[/tex]

[tex]ar^{n-1}=5(ar^n+ar^{n+1}+...+\infty)[/tex]

[tex]ar^{n-1}=5ar^n(1+r+r^2+...+\infty)[/tex]

Divide both sides by a.

[tex]r^{n-1}=5r^n(\dfrac{1}{1-r})[/tex]    [tex][\text{Sum of infinite GP}=\dfrac{a}{1-r}][/tex]

[tex]\dfrac{r^n}{r}=\dfrac{5r^n}{1-r}[/tex]

[tex]\dfrac{1}{r}=\dfrac{5}{1-r}[/tex]

[tex]1-r=5r[/tex]

[tex]1=6r[/tex]

[tex]\dfrac{1}{6}=r[/tex]

The common ratio is 1/6.

Put r=1/6 in (1).

[tex]a+a(\dfrac{1}{6})=6[/tex]

[tex]6a+a=36[/tex]

[tex]7a=36[/tex]

[tex]a=\dfrac{36}{7}[/tex]

Second term [tex]ar=\dfrac{36}{7}\times \dfrac{1}{6}=\dfrac{6}{7}[/tex]

Therefore, the second term is [tex]\dfrac{6}{7}[/tex].

Answer:

[tex]c.\hspace{3}x=12[/tex]

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

[tex]x=2a[/tex]

And we can find a easily using pythagorean theorem:

[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]

Solving for a:

[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]

[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]

Therefore:

[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]

Answer:

Equation 2: [tex]y=-x^2-2[/tex]

The strategy i used to make this equation is to make graph the parent equation and see what changes are to be made in order to get the needed answer.

Step-by-step explanation:

Well a normal parent parabola function is [tex]y=x^2[/tex].

And the parabloa it makes opens up so to make it open down we make it negative to [tex]y=-x^2[/tex]. And to make a negative y intercept we make the y intercept -2.

So the equation is [tex]y=-x^2-2[/tex].

Answer:

Step-by-step explanation:

=-3.875/7. (divided by 16)

Answer:

25

Step-by-step explanation:

180-(21+73+51)=25

Hey there! :)

Answer:

C. m∠x = 35°.

Step-by-step explanation:

Begin by finding the value of the third angle of the triangle. Recall that all interior angles of a triangle sum up to 180°:

180 - 73 - 51 = 56°.

Since the top angle is split into x and 21°, simply subtract to solve for x:

56 - 21 = 35°. Therefore:

m∠x = 35°.

Answer:

D. 1/3

Step-by-step explanation:

Use the following equation to solve for the slope:

m (slope) = (y₂ - y₁)/(x₂ - x₁).

Let:

(x₁ , y₁) = (0 , 2)

(x₂ , y₂) = (3 , 3)

Plug in the corresponding numbers to the corresponding variables:

m = (3 - 2)/(3 - 0)

m = (1)/(3)

m = 1/3

D. 1/3 is your answer.

~

Answer:

B. f(x) = 1 - x²

Step-by-step explanation:

Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².

Answer:

B. F(x) = 1 - x^2

Step-by-step explanation:

The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.

F(x) = G(x) - 3

F(x) = 4 - x^2 - 3

F(x) = 1 - x^2

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

Answer:

5 1/10

Step-by-step explanation:

Convert all integers to decimals.

6.1

5.4

5 1/10 = 5.1

6 7/10 = 6.7

The smallest number frrom the list is 5.1 or 5 1/10.

Answer:

5 1/10

Step-by-step explanation:

Convert to the same format, IE. decimals so you can compare like numbers.  The other numbers are:

6.1

5.4

5.1      (1/10 = 0.1)

6.7      (7/10 = 0.7)

So, from least to greatest they are:

5.1

5.4

6.1

6.7

Answer:

Step-by-step explanation:

2:3 is the correct answer

I hope this helps you

Answer:

The value of c is 2

Step-by-step explanation:

p(x) = cx³ - 15x - 68

Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.

x - 4 = 0

x = 4

Substitute it into the above expression

That's

c(4)³ - 15(4) - 68 = 0

64c - 60 - 68 = 0

64c = 60 + 68

64c = 128

Divide both sides by 64

c = 2

Hope this helps you

Answer:

h

Step-by-step explanation:

b

Answer: Translation

Step-by-step explanation:

The shape its self has only shifted to the right. It hasn't been rotated or reflected.

Answer:

Translation

Step-by-step explanation:

defintion of translation: the process of moving something from one place to another.

The shpae is being moved to the right as shown by the arrow.

Answer:

Solution,

Given data: 3,7,8,10,X

Summation FX= 3+7+8+10+X= 28+x

N(total number of items)= 5

Mean= 6

Finding the value of X,

[tex]mean = \frac{summation \: fx}{n} \\ or \: 6 = \frac{28 + x}{5} \\ or \: 6 \times 5 = 28 + x \\ or \: 30 = 28 + x \\ or \: - x = 28 - 30 \\ or \: - x = - 2 \\ x = 2[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

$1340.49

Step-by-step explanation:

From the attached image

Subtotal Cost of Purchased Items

[tex]= (20 \times 16.69)+(2 \times 20.78)+(2 \times 15.58)+(6 \times 21.38)\\+(118 \times 6.60)+(500 \times 0.22)+(10 \times 8.44)+(1 \times 150)\\\\=\$1658[/tex]

Since the builder receives a 20% contractor's discount, plus and additional 3% for paying in full within 30 days.

Discount = 23% of $1658 = 0.23 X 1658 =$381.34

Total (Less Discount) = 1658-381.34 = $1276.66

Tax on building materials is 5%.

Therefore:

Tax = 5% of $1276.66=0.05 X 1276.66

Tax=$63.83

Therefore, the total bill:

=$1276.66+63.83

Grand Total =$1340.49

Answer:

g = 4

Step-by-step explanation:

6(−2g−1)=−(13g+2)

Distribute

-12g -6 = -13g -2

Add 13g to each side

-12g + 13g -6 = -13g+13g -2

-6+g =-2

Add 6 to each side

-6+g+6 = -2+6

g = 4

Answer:

g = 4

Step-by-step explanation:

                                         6(-2g - 1) = -(13g + 2)

____________________________________________________________

Distribute,

6(-2g - 1)

-12g - 6

Distribute,

-(13g + 2)

-13g - 2

-12g - 6 = -13g - 2

+13 to both sides,

g - 6 = - 2

Add 6 to both sides,

g = 4

Answer:

10power 15

Step-by-step explanation:

You keep the base, and you multiply the powers which means

5✖️3=15

base=10

10power 15

Answer:

0.875 or 87.5%

Step-by-step explanation:

For each child, there is an equal 1 in 2 probability of having a girl or a boy.

The probability of having at least one girl out of three children includes the probability of having 1, 2 or 3 girls. It can also be written as 100% minus the probability of having all boys, therefore:

[tex]P(G\geq 1)=1-P(B=3)\\P(G\geq 1)=1-(\frac{1}{2}*\frac{1}{2}*\frac{1}{2})\\ P(G\geq 1)=0.875[/tex]

The probability of having at least one girl is 0.875 or 87.5%.

Answer:

13w

Step-by-step explanation:

(19 - 6) * w

PEMDAS says parentheses first

19-6 = 13

13*w

13w

Answer:

13w

Step-by-step explanation:

(19-6)*W

PEMDAS

19-6= 13

13*W = 13w

Answer:

x

Step-by-step explanation:

-2x²(x – 5) + x(2x² – 10x) + x

The simplest for of the above equation can be obtained as follow:

-2x²(x – 5) + x(2x² – 10x) + x

Rearrange

x(2x² – 10x) – 2x²(x – 5) + x

Factorise

x.2x(x – 5) – 2x²(x – 5) + x

2x²(x – 5) – 2x²(x – 5) + x

Carry out the minus (–) operation

=> x

Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.

Answer:

See below.

Step-by-step explanation:

[tex](5x^2y^3)^0\div(-2x^{-3}y^5)^{-2}[/tex]

First, note that everything to the zeroth power is 1. Thus:

[tex]=1\div(-2x^{-3}y^5)^{-2}=\frac{1}{(-2x^{-3}y^5)^{-2}}[/tex]

Distribute using Power of a Power property:

[tex]=\frac{1}{(-2)^{-2}(x^{-3})^{-2}(y^5)^{-2})}[/tex]

Make the exponents positive by putting them to the numerator:

[tex]=\frac{(-2)^2(x^{-3})^2(y^5)^2}{1}[/tex]

[tex]=\frac{4x^{-6}y^{10}}{1}[/tex]

Make the exponent positive by this time putting it to the denominator:

[tex]=\frac{4y^{10}}{x^6}[/tex]

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

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Answer:

Step-by-step explanation:

In this scenario, the probability of success, p is 28% = 28/100 = 0.28

Number of samples, n = 160

Probability of failure, q = 1 - p = 1 - 0.28 = 0.72

Mean,µ = np = 0.28 × 160 = 44.8

Standard deviation, σ = √npq = √160 × 0.28 × 0.72 = 5.68

Let x be the random variable representing the number of wood samples from long-leaf pine trees with a fungal disease. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

the probability that you’ll have at least 50 diseased samples to return to your boss is expressed as

P(x ≥ 50) = 1 - P(x < 50)

For P(x < 50)

z = (50 - 44.8)/5.68 = 0.91

Looking at the normal distribution table, the probability corresponding to the z score is 0.819

Therefore,

P(x ≥ 50) = 1 - 0.819 = 0.181

Answer:

25/64

Step-by-step explanation:

ratio of perimeters = 15/24 = 5/8

ratio of areas = square of ratio of perimeters

ratio of areas = (5/8)^2 = 25/64

Answer:

x^2 - 3x + 9/4 = 5 + 9/4.

Step-by-step explanation:

To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.

In this case, b = -3.

(-3 / 2)^2

= 9 / 4.

x^2 - 3x - 5 = 0

x^2 - 3x = 5

x^2 - 3x + 9/4 = 5 + 9/4.

Hope this helps!