Which relationships have the same constant of proportionality between y and x as the following table.

x = 2, 7, 9
y = 7, 24.5, 31.5
Choose three answers

A. 4y = 14x
B. 3.5y = x

C,D,E look at the picture for

Answer:

The height of the building in the scale drawing will be 3 in.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

In the drawing, each inch represents 250 feet. So how many inches will be needed to represent 750 feet?

1 inch - 250 feet

x inches - 750 feet

Applying cross multiplication:

[tex]250x = 750[/tex]

[tex]x = \frac{750}{250}[/tex]

[tex]x = 3[/tex]

So

The height of the building in the scale drawing will be 3 in.

Answer:

-1 is the answer so B is the answer

Answer:

b is right

Step-by-step explanation:

Answer:

24.58...........................

Answer:

Step-by-step explanation:

it is 24.58 because you just duplicate the lengths on each side and add them all up

Answer:

B. y=4x+27

Step-by-step explanation:

Currently, this equation is written is point-slope form, so we need to change it to slope-intercept form, which looks like this: y=mx+b.

y+5=4(x+8)   Distribute.

y+5=4x+32   Subtract 5 on both sides.

  -5       -5

y=4x+27

Therefore, the answer is B.

Hope this helps and have a nice day ^^

Answer:

[tex]30 + n \geqslant 50 \\ n \geqslant 50 - 30 \\ \boxed{n \geqslant 20}[/tex]

Answer:

6 1/3 (19/3)

Step-by-step explanation:

if they sold 3 1/6 trays of cinnamon donuts and there were 1/2 as many chocolate donuts sold wed have to do

1/2 divided by 3 1/6

3 1/6 - 19/6

1/2 divided by 19/6 = 6 1/3

hope this helped! <3

Answer:

6 1/3 (19/3)

Step-by-step explanation:

Answer:

840 in^2

Step-by-step explanation:

If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).

The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2:  It is 16 in.  Then the combined areas of the four sides of the prism is 4(160 in^2).

The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.

Answer:

[tex]\displaystyle x=\frac{\log 3}{\log(3)-\log 2}\approx 2.71[/tex]

Step-by-step explanation:

Logarithms

We need to recall these properties of logarithms:

[tex]\log_ax^n=m\log_ax[/tex]

[tex]\log_a(xy)=\log_a(y)+\log_a(y)[/tex]

The equation to solve is:

[tex]3^x=3*2^x[/tex]

Applying logarithms:

[tex]\log(3^x)=\log(3*2^x)[/tex]

Applying the exponent property on the left side and the product property on the right side:

[tex]x\log(3)=\log 3+\log 2^x[/tex]

Applying the exponent property:

[tex]x\log(3)=\log 3+x\log 2[/tex]

Rearranging:

[tex]x\log(3)-x\log 2=\log 3[/tex]

Factoring:

[tex]x(\log(3)-\log 2)=\log 3[/tex]

Solving:

[tex]\boxed{\displaystyle x=\frac{\log 3}{\log(3)-\log 2}}[/tex]

Calculating:

[tex]\mathbf{x\approx 2.71}[/tex]

Answer:

A. He needs 18.7 yards of fencing to go all the way around the yard.

Answer:

7.31

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Sample mean (X) = 35

standard deviation (y) = 5.3

Sample size (n) = 60

Population mean (p) = 30

We can calculate test statistics by using following formula,

[tex]t = \frac{(x - p)}{\frac{y}{\sqrt{ n} } }[/tex]

By putting the value in equation, we get

[tex]t = \frac{(35 - 30)}{\frac{5.3}{\sqrt{ 60} } }[/tex]

t = 5 ÷ 0.684

t = 7.31

Hence, test statistics for the given data is 7.31.

Answer:

The answer is C

Step-by-step explanation:

Just took the test

Answer:

Approximately [tex]0.038[/tex] (or equivalently [tex]3.8\%[/tex],) assuming that whether each resident owns boats is independent from one another.

Step-by-step explanation:

Assume that whether each resident of this town owns boats is independent from one another. It would be possible to model whether each of the [tex]n = 100[/tex] selected residents owns boats as a Bernoulli random variable: for [tex]k = \lbrace 1,\, \dots,\, 100\rbrace[/tex], [tex]X_k \sim \text{Bernoulli}(\underbrace{0.13}_{p})[/tex].

[tex]X_k = 0[/tex] means that the [tex]k[/tex]th resident in this sample does not own boats. On the other hand, [tex]X_k = 1[/tex] means that this resident owns boats. Therefore, the sum [tex](X_1 + \cdots + X_{100})[/tex] would represent the number of residents in this sample that own boats.

Each of these [tex]100[/tex] random variables are all independent from one another. The mean of each [tex]X_k[/tex] would be [tex]\mu = 0.13[/tex], whereas the variance of each [tex]X_k\![/tex] would be [tex]\sigma = p\, (1 - p) = 0.13 \times (1 - 0.13) = 0.1131[/tex].

The sample size of [tex]100[/tex] is a rather large number. Besides, all these samples share the same probability distribution. Apply the Central Limit Theorem. By this theorem, the sum [tex](X_1 + \cdots + X_{100})[/tex] would approximately follow a normal distribution with:

[tex]11\%[/tex] of that sample of [tex]100[/tex] residents would correspond to [tex]11\% \times 100 = 11[/tex] residents. Calculate the [tex]z[/tex]-score corresponding to a sum of [tex]11[/tex]:

[tex]\begin{aligned}z &= \frac{11 - 13}{1.131} \approx -1.77 \end{aligned}[/tex].

The question is (equivalently) asking for [tex]P( (X_1 + \cdots + X_{100}) < 11)[/tex]. That is equal to [tex]P(Z < -1.77)[/tex]. However, some [tex]z[/tex]-tables list only probabilities like [tex]P(Z > z)[/tex]. Hence, convert [tex]P(Z < -1.77)\![/tex] to that form:

[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= P(Z < -1.77) \\ &= 1 - P(Z >1.77) \end{aligned}[/tex].

Look up the value of [tex]P(Z > 1.77)[/tex] on a [tex]z[/tex]-table:

[tex]P(Z > 1.77) \approx 0.962[/tex].

Therefore:

[tex]\begin{aligned} & P( (X_1 + \cdots + X_{100}) < 11) \\ &= 1 - P(Z >1.77) \\ &\approx 1 - 0.962 = 0.038 \end{aligned}[/tex].

Answer:

0.276

Step-by-step explanation:

got it right on edge

Answer:

37000000000000 - 187000000000 = 36813000000000

Step-by-step explanation:

Use long subtraction to evaluate.

Hope this helps! Have a nice day!

Answer:

The aswer is 3.6813e13

Which is 368130000000000000

Answer:

Step-by-step explanation:

The product of the slopes of perpendicular lines is always -1.

The slope of y = -¼x-1 is -¼

The slope of the perpendicular is the inverse reciprocal of -¼, i.e., +4.

Answer:

The difference is 2/3

Step-by-step explanation:

Answer:

The answer is 2/3

Step-by-step explanation:

5 1/3 - 4 2/3

(5-4) + (1/3 - 2/3)

1 + 1-2/3

1 + -1/3

2/3

Answer:

$360

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

360 beacause i used the elesation point so i can get my answer and than i used another method that m teacher uses and my teacher told me when we do that it will take a long time to do but thats what i got and did to get that question.

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to call the numbers x and y.

A number is equal to twice a smaller number plus 3.

Greater number is x, and smaller is y. So

[tex]x = 2y + 3[/tex]

The same number is equal to twice the sum of the smaller number and 1.

This means that [tex]x = 2y + 1[/tex]

Equaling the values for x:

[tex]2y + 3 = 2y + 1[/tex]

[tex]0y = -2[/tex]

[tex]y = -\frac{2}{0}[/tex]

Since division by 0 does not exist, it means that there is no solution for the system.

Step-by-step explanation:

When x = -2 and y = 3,

10y + 2(3x + 2)

= 10(3) + 2[3(-2) + 2]

= 30 + 2(-4)

= 30 - 8

= 22.

Answer:

I think its help you

Step-by-step explanation:

10y+23x+2

10×3+23×-2+2

30+23

53

Answer:

7 hours

Step-by-step explanation:

43-8=35

35÷5=7

Answer:

The answer is probably 6 or 7

Step-by-step explanation:

8+5h is less than or equal to 43

8+5h=43

-8        -8

5h=35

/5    /5

h=7

Answer

C

Step-by-step explanation:

There are 15 students ages 4 - 11, 15 x 6.50 = 97.50

There are 12 students aged 12 - 17, 12 x 8.50 = 102

102 + 97.50 = 199.50

Answer:

2nd awnser i had that exact question  the other day

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

x/12 =-3+2

x/12= -1

x = -12

Answer:

-12

Step-by-step explanation:

x/12 must equal -1 because -1 - 2 = -3.

-12 divided by 12 = -1

-12/12 - 2 = -2

Answer:

95

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The price increase will be ...

  4.9% × $41,000 = $2,009

__

The new price will be ...

  $41,000 +2,009 = $43,009

Answer:

6

ab-cd

Substitute the values in the equation

(4)(3)-(3)(2)

12-6=6

Answer:

88 feet

Step-by-step explanation:

6x13=78 (rectangle)

13-8=5 (length of triangle)

10-6=4 (height of triangle)

5x4/2=10 (triangle)