If y ∝ [tex]\frac{1}{x}[/tex] and y = 4 when x = 2.5, find :


(a) y when x = 20

(b) x when y = 5

Answer:

40

Step-by-step explanation:

The teacher ordered 5 pizzas with 8 slices each which is 5*8=40

Answer:

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Step-by-step explanation:

answer

x=6, y=-2

explanation

-2x + 8 = y -------equ 1

3x - y = 22 -------equ 2

u can use any of the simultaneous equation method

using elimination method

rearrange first from -------equ 1

-2x+8=y

-y-2x=-8

multiple through by -1

y+2x=8 -------equ 3

rearrange first from -------equ 2

3x-y=22

-y+3=22 ------equ 4

equate 3 and 4, adding them together

y+2x=8 -------equ 3

-y+3=22 ------equ 4

0+5x=30

5x=30

x=6------equ 5

replace 6 for x in any equation

using -------equ 3

y+2x=8

y+2(5)=8

y+10=8

y=8-10

y=-2

Answer:

(x, y)=(6, -4)

Step-by-step explanation:

-2x+8=y

3x-y=22

Substitute the given value of y into the equation 3x-y=22

3x-(-2x=8)=22

Solve the equation for x

x=6

Substitute the given value of x into the equation 3x-y=22

3x6-y=22

Solve the equation for y

y=-4

The possible solution of the system is the ordered pair (x, y)

(x, y)=(6, -4)

Check if the given ordered pair is the solution of the system of equations

-2x6+8=-4

3x6-(-4)=22

Simplify the equalities

-4=-4

22=22

Since all of the equalities are true, the ordered pair is the solution of the system

(x, y)=(6, -4)

Answer:

4,5

Step-by-step explanation:

2+3=5

Answer:

To round 3.897 to the nearest tenth consider the hundredths’ value of 3.897, which is 9 and equal or more than 5. Therefore, the tenths value of 3.897 increases by 1 to 9.

3.897 rounded to the nearest tenth = 3.9

Answer:

width is 33

Step-by-step explanation:

width (b) =?

length(l)=3

perimeter (p)=?

now,

perimeter = 2(l+b)

or,72= 2(3+ b)

or,72/2= 3+b

or,36= 3+b

or,36-3= b

or,33= b

therefore width is 33

Answer:

x=0 and x=5/2

Step-by-step explanation:

Combine like terms.

-2x=0

x=0/-2

x=0

-4x=-10

x=-10/-4

x=5/2

Answer:

Step-by-step explanation:

Answer:

[tex]V = 245\frac{1}{3} in^{2}[/tex]

Step-by-step explanation:

The volume of a pyramid is equal to the area of the base times height divded by three so

[tex]V = \frac{A_{base} h }{3} \\V = \frac{(8^{2})(11.5) }{3} \\V = \frac{736}{3} \\V = 245\frac{1}{3} in^{2}[/tex]

Answer:

245 1/3

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.

the graphing would be easier to use because it demonstrates the numbers that are in the situation

Answer:

2.4 or 2 2/5 bottles of water

Answer:

C

Step-by-step explanation:

srslly its easy just look at it

Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

Complete question :

Cal Amity decided to survey 880 inhabitants of the Kingdom so that he could have a confidence level of 95% and a margin of error of 3%. He found that 72% of his sample answered "yes" to the second survey question, which was, "Have you done anything, or will you do anything, to prepare your kitchen for Gourmando's visit?"

Mr. Amity can infer that, most likely, between _[blank A]_ and _[blank B]_ inhabitants of the Kingdom have done, or will do something, to prepare their kitchen before Gourmando's visit.

If a population is 5000

Answer:

blank A: 3450

blank B: 3750

Step-by-step explanation:

Number of inhabitants surveyed = 880

Population size = 5000

Error margin = 3%

Percentage that answered 'yes' = 72%

The confidence interval :

Mean ± Error margin

Lower Bound = 72% - 3% = 69% = 0.69

Upper bound = 72% + 3% = 75% = 0.75

Since the question want us know the overall inhabitants of the kingdom who fall between this interval :

Blank A = lower boundary = 0.69 * 5000 = 3450

Blank B = upper boundary = 0.75 * 5000 = 3750

Answer:

The population is: all glass recycled

The sample is: the 10 selected glass items.

The parameter is the proportion of: all his glass that is clear

The statistic is the proportion of: the selected glass that is clear

The population of a distribution is the entire group, while the sample is the selected group from the entire group.

From the question, we understand that glasses are recycled and then separated into colors.

This means that, the population is all glass recycled

From the question, we understand that he randomly grabs 10 glass items, and then determine the proportion of clear glasses.

This means that, the sample is the 10 selected glass items.

This is the value that summarizes all the glasses that are being recycled.

So, the parameter is the proportion of all his clear glasses

This is the value that summarizes the selected glasses.

So, the statistic is the proportion of the selected glass that is clear

Read more about samples and population at:

https://brainly.com/question/15683425

Answer:

The college spread is best described by the IQR. The high school spread is best described by the standard deviation.

Step-by-step explanation:

The college data has large outliers which skews the data, therefore the IQR is better measure of spread.

The high school data does not appear to be skewed so the standard deviation is fine as a measure of spread.

Answer:

undefined or 0

Step-by-step explanation:

Answer:

The answer is 0 because undefined is straight up or vertical

Answer:

im guessing because its a slope were trying to find the slope intercept so y1~mx1+b on desomos or y=mx+b in actual equation form

Step-by-step explanation:

Answer:

There are 2

(6 2/5, -6 2/5)

(8 3/5, 4 2/5)

Step-by-step explanation:

Answer:

$6,583.5

Step-by-step explanation:

Amanda's monthly salary increased by 4.5%. You can get the percentage by getting the increased amount in salary and dividing it by the previous salary of Amanda.

In order to get the new salary of Mary, you have to multiply the same percentage, 4.5%, to Mary's previous salary, $6,300. This will give you the amount that will be added to her new salary.

Mary's new salary is $6,583.5

Answer:

28.57%

Step-by-step explanation:

Given data

Initial cost =$28

Final cost =$36

Required

The percentage change in cost

Percent change =final - initial/initial*100

Substitute

Percent change =36-28/28*100

Percent change =8/28*100

Percent change =0. 2857*100

Percent change =28.57%

Answer:

tan²x + tan x - 12 = 0 (1)

suppose: tan x = t

(1)=> t² + t - 12 = 0

a = 1    b = 1     c = -12

⇒ Δ = b² - 4ac = 1 + 48 = 49 > 0 => has 2 solutions

=> t = [tex]\frac{1+\sqrt{49} }{2}=\frac{8}{2}=4[/tex]

or t = [tex]\frac{1-\sqrt{49} }{2}=\frac{-6}{2}= -3[/tex]

because t = tan x => tan x = 4 or tan x = -3

because x ∈ [0;2pi) => with tan x = 4 => x = arctan(4)  or x = arctan(4) + pi

                                     with tan x = -3 => x = arctan(-3) + pi

Step-by-step explanation:

Answer:

did u mean "what is x + 4 for x = 3"? Cuz if so then it is 7

Step-by-step explanation:

x + 4

Substitute the x with 3 since it was already given

3 + 4

7

Answer:

560, 600, 620, 630, 640, 650

Step-by-step explanation:

Just counted from 10, I guess.

Answer:

x = 7 and y = 4

Step-by-step explanation:

If QRS = MNP, then QR = MN, RS = NP and QS = MP

Given

QR = 11

QS = 15

MP = 2x + 1

Recall that QS = MP

15 = 2x+1

2x = 15-1

2x = 14

x = 14/2

x = 7

Similarly

<Q = <M

<Q + <R + <S = 180

<Q + 32 + 84 = 180

<Q + 116 = 180

<Q = 180 - 116

<Q = 64 degrees

Since <M = 17y - 4

64 = 17y - 4

17y = 64+4

17y = 68

y = 68/17

y = 4

Hence x = 7 and y = 4

Answer:

Nativism is the political position of preserving status for certain established inhabitants of a nation as compared to claims of newcomers or immigrants. It is characterized by opposition to immigration based on fears that the immigrants will distort or spoil existing cultural values.

Step-by-step explanation:

Answer:

I Hope it will help u

Step-by-step explanation:

Your solution is in image ,

please brain-list it it takes effort ,

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