i need some help with this

Given:

Line KJ represents a proportional relationship.

Point K lies at (12,14).

To find:

The ordered pair of the coordinates of point J.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

It means, the ratios of y to x for all the point in a proportional relationship are same.

Line KJ represents a proportional relationship. Point K lies at (12,14).

So, the constant of proportionality is:

[tex]k=\dfrac{14}{12}[/tex]

[tex]k=\dfrac{7}{6}[/tex]

Similarly, find the ratio of y to x for all given points.

In option a,

[tex]\dfrac{3.5}{3}=\dfrac{3.5\times 2}{3\times 2}[/tex]

[tex]\dfrac{3.5}{3}=\dfrac{7}{6}[/tex]

In option b,

[tex]\dfrac{15}{17.5}=\dfrac{15\times 2}{17.5\times 2}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{30}{35}[/tex]

[tex]\dfrac{15}{17.5}=\dfrac{6}{7}[/tex]

In option c,

[tex]\dfrac{0}{2}=0[/tex]

In option d,

[tex]\dfrac{3}{3.5}=\dfrac{3\times 2}{3.5\times 2}[/tex]

[tex]\dfrac{3}{3.5}=\dfrac{6}{7}[/tex]

The ratio of y to x of point (3,3.5) is equal to the ratio of given point K(12,14). So, the coordinates of point J are (3,3.5).

Therefore, the correct option is A.

Answer:

6/10 if its talking about Manny and Emma together, 3/10 if it separate. Simplified would be 3/5 and 3/10

Step-by-step explanation:

Lilly ate 4/10 sections. 10 - 4 is 6. so there are 6 sections left for them to eat.

Answer:

The percentage change from 25 to 30 is 20 %

Step-by-step explanation:

((30 - 25) / 25) * 100 = 20 %

Answer:

y = 4x^2 + 5 has the narrowest graph.

Step-by-step explanation:

The larger the coefficient of x^2 is, the narrower the graph will be.  Thus:

y = 4x^2 + 5 has the narrowest graph.

Answer:

C. 4/3

Step-by-step explanation:

Answer:

Side of the square:

Area of the square:

Radius of each circle:

Area of each circle:

Area of all circles:

Area of shaded region:

Answer:

-2

Step-by-step explanation:

I think this was the question you were talking about.

Answer:-74

Step-by-step explanation: When you are in the megatives, less is more! So -74 is actually greater then -75

Answer:

I think h is 20 I am not sure

Answer:

3. 4x^2y

Step-by-step explanation:

The GCF of 36 and 14 is 4.

The GCF of x^2y and x^2y^2 is x^2y

Multiply the two GCF and you get 4x^2y

Answer:

B

Step-by-step explanation:

that's just what I got, I apologize if it's wrong!

Answer:

It's D. 90ft squared

Step-by-step explanation:

The equation for the surface area of an rectangular prism is 2(lw+lh+wh)

l=length

w= width

h=height

Answer:

There are six $5 bills and nine $10 bills

Step-by-step explanation:

x= $5 bills

y= $10 bills

x+y=15

5x+10y=120

5x+10(15-x)=120

5x+150-10x=120

-5x= -30

x=6 so y=9

Answer:

$10 = 5  $5 = 11  $1 = 122

Step-by-step explanation:

5 x 10 = 50

5 x 11 = 55

1 x 122 = 122

50 + 55 + 122 =

227

Hope this helps!

Answer:

The answer for Acellus people is  9.8

Step-by-step explanation:

The missing side of Right triangle will be [tex]9.8[/tex].

Right triangle is a triangle in which one angle is of [tex]90^0[/tex].

We have,

Hypotenuse [tex]=18[/tex] cm

Perpendicular [tex]=x[/tex] cm

One of the angle [tex]=33^0[/tex]

So,

Using the Trigonometric angles,

[tex]Sin33^0=\frac{Perpendicular}{Hypotenuse}[/tex]

So,

[tex]Sin33^0=\frac{x}{18}[/tex]

⇒

[tex]x=18*Sin\ 33^0[/tex]

So,

[tex]x=9.8[/tex]

The missing side is [tex]9.8[/tex] .

Hence, we can say that the missing side of Right triangle will be [tex]9.8[/tex].

To know more about Right triangle click here

https://brainly.com/question/6322314

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Answer:

No. In order to be a right triangle, the lengths of the 2 smaller sides must equal the length of the longest side.

In other words, these 3 sides must work with the Pythagorean theorem.

A^2 + B^2 = C^2

25^2 + 30^2 is NOT 30^2

This is a triangle, just not a right triangle.

Answer:

15 hours

Step-by-step explanation:

since 8 reports took him 3 hrs

8+8+8+8+8=60

3+3+3+3+3=15

Answer:

-7-17i

Step-by-step explanation:

Answer:

-7-17i

Step-by-step explanation:

See image below:)

Answer:

half of 8 is 4

so 4 is your radius

4^4 = 16

16 x 3.14 = 50.24 in2 is your area.

Answer:

[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] - 2(x + 16) = - 20 \\ - 2x + 16 \times - 2 = - 20 \\ - 2x - 32 = - 20 \\ - 2x = - 20 + 32 \\ - 2x = 12 \\ x = \frac{12}{ - 2} \\ x = \frac{ - 12}{2} \\ x = - 6[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

"solve this equation: - 2 (x+16)= - 20

Step-by-step explanation:

- 2x 16 + - 2 = - 20

- 2x - 32 = - 20

- 2x = - 20 + 32

x = - 12 :2

x = - 6

Answer:

9+- 1.7

Step-by-step explanation:

Kahn

The required possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
Assuming that the sample means and sample standard deviation were calculated from the data, a possible 90% confidence interval for the population means battery life can be calculated using the t-distribution.

For example, if the sample mean is 15 hours and the sample standard deviation is 3 hours, with a sample size of 6 and a 90% confidence level, the t-interval would be:

t-interval = sample mean ± t*(sample standard deviation / √(sample size))

where t is the t-value with (sample size - 1) degrees of freedom and a 90% confidence level.

Using a t-table, the t-value for 5 degrees of freedom and a 90% confidence level is approximately 2.571. Plugging in the values, we get:

t-interval = 15 ± 2.571*(3 / √(6))

t-interval ≈ (10.95, 19.05)

Therefore, a possible 90% confidence interval for the mean battery life is (10.95, 19.05) hours.

Learn more about Statistics here: https://brainly.com/question/23091366

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Answer:

x=7, y=9. (7, 9).

Step-by-step explanation:

-3x+y=-12

5x-2y=17

---------------

y=-12-(-3x)

y=-12+3x

y=3x-12

5x-2(3x-12)=17

5x-6x+24=17

-x+24=17

-x=17-24

-x=-7

x=7

y=3(7)-12

y=21-12

y=9

the mean, median and interquartile range

Answer:

1.11

Step-by-step explanation:

35 + 24 = 59

22 + 31 = 53

59 ÷ 53 ≈ 1.11

Have a good day :)

Answer:

Step-by-step explanation:

Answer:

405 in^2

Step-by-step explanation:

Given data

Height= 27in

Circumference= 47.1 in

let us find the radius and the diameter of the base of the cylinder

from

C=2πr

47.1= 2*3.142*r

47.1= 6.284r

r= 47.1/6.284

r= 7.5 in

Diameter= 2r

D= 7.5*2

D= 15in

Hence the area of the cross-section

=H*D

=27*15

=405 in^2

Answer:

B

Step-by-step explanation:

since rye bagels come first after plain bagels, rye bagel is 13 & plain bagel is 8 so 13:8 is the answer!

Answer:

(2,4)

Step-by-step explanation:

Answer:

4yards

Step-by-step explanation:

[tex] \rm \mapsto \: {5}^{2} = {3}^{2} + {x}^{2} \\ \rm \mapsto \: 25 = 9 + {x}^{2} \\ \rm \mapsto \: {x}^{2} = 25 - 9 \\ \rm \mapsto \: {x}^{2} = 16 \\ \rm \mapsto \: x = \sqrt{16} \\ \rm \mapsto \: x = 4yards[/tex]

Answer:

8

Step-by-step explanation:

[tex]\frac{18}{36} = \frac{x}{16}[/tex]     x = 8