Help please! This has to do with the Pythagorean theorem.

Answer:

The number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Step-by-step explanation:

Let the number of:

300- yen cakes = x

350 - yen cakes = y

You buy some 300-yen pieces of cake and some 350 yen pieces of cake. If you buy 10 pieces of cake and pay 3300 yen, how many of each kind did you buy?

Hence, our system of equations derived from the question is:

x + y= 10 ..... Equation 1

x = 10 - y

300x + 350y = 3300 yen... Equation 2

Substitute 10 - y for x in Equation 2

Hence:

300(10 - y) + 350y = 3300

3000 - 300y + 350y = 3300

- 300y + 350y = 3300 - 3000

50y = 300

y = 300/50

y = 6

x = 10 - y

Substitute 6 for y

x = 10 - 6

x = 4

Therefore, the number of:

300- yen cakes = x = 4

350 - yen cakes = y = 6

Answer:

Vertex: (5,12)

Axis of Symmetry: x=5

Domain: (-infinity, +infinity)

Range: [12, +infinity)

Step-by-step explanation:

Step-by-step explanation:

gakamajs8skwzaHzk

bak*ywnJz8s

Answer:

h= 2.5

Step-by-step explanation:

25=10h

25/10=2.5

Given:

[tex]g(x)=f(x+11)[/tex]

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex]                .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+11)[/tex]            ... (2)

On comparing (1) and (2), we get

[tex]a=11>0[/tex]

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.

Answer:

x = 0, y = -1

Step-by-step explanation:

Answer:

319.872

Step-by-step explanation:

319.872 / 384 = 83 1/3 / 100

Final Answer: [tex]320[/tex]

Steps/Reasons/Explanation:

Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].

Step 1: Convert mixed fraction into improper fraction.

[tex]\frac{250}{3}[/tex]

Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].

[tex]\frac{96000}{300}[/tex]

Step 3: Simplify

[tex]320[/tex]

~I hope I helped you :)~

Answer:

the first option

Step-by-step explanation:

Answer:

hmm.......i think it's 11

it might be 2

no 11

ehh maybe 11

oh my god

so uhmmmmmm

it's either 11

or it's 2

im having a mental crisis

the answer is effect

Answer:

this a effect you can change the change the water

Answer:

your dad left to get the milk

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i took the test on edge 2021

Answer:

25/6 = 4 1/6

Step-by-step explanation:

what you do is 5/6 times 5 i am pretty sure this is right

Answer:

B. 4 1/6

Step-by-step explanation:

1. Identify your key factors:

Terrance: 5

Brother: 5/6

2. Let's make them both fractions:

T: 30/6  B: 5/6

3. Now subtract the difference:

30/6-5/6

25/6

4. Simplify:

4 1/6

Answer:

Step-by-step explanation:

A. 40:80

B: 80/40

C; 40: 120

D: 80:120 ;)

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Answer:

a.) 36

b.) 18

c.) 27

Step-by-step explanation:

The value of the 5,700 milligrams in pounds is approximately 0.01 lb

A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.

In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.

Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.

The given parameters are;

The quantity to be converted to pounds = 5,700 milligrams

The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb

Therefore;

[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]

Therefore, to the nearest hundredth, we have;

5,700 mg ≈ 0.01 lb

Learn more about unit conversion in mathematics here:

https://brainly.com/question/141163

#SPJ1

Answer:

520 feet

Step-by-step explanation:

The area=16900

Area formula=b^2

b^2=16900

square root of 16900=130

130*4=520

Answer: 75.1

Step-by-step explanation:

Answer:

86.0*

Step-by-step explanation:

i am not 100% sure

Answer:

[tex]20[/tex]

Step-by-step explanation:

[tex]-----------------------------------[/tex]

[tex]\frac{32}{1.6}[/tex] = [tex]\frac{16}{0.8}[/tex] = [tex]\frac{8}{0.4}[/tex] = [tex]\frac{4}{0.2}[/tex] = [tex]\frac{2}{0.1}[/tex]

[tex]-----------------------------------[/tex]

[tex]Since[/tex] [tex]you[/tex] [tex]could[/tex] [tex]divide[/tex] [tex]it[/tex] [tex]to[/tex] [tex]0.1[/tex], [tex]just[/tex] [tex]switch[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]with[/tex] [tex]the[/tex] [tex]0[/tex] [tex]and[/tex] [tex]take[/tex] [tex]away[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]point.[/tex] [tex]You[/tex] [tex]will[/tex] [tex]get[/tex] [tex]10[/tex]. [tex]Lastly[/tex], [tex]change[/tex] [tex]the[/tex] [tex]division[/tex] [tex]to[/tex] [tex]multiplication.[/tex]

( Remember that this does not apply to all equations. )

[tex]-----------------------------------[/tex]

[tex]When[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]10\cdot2[/tex], [tex]you[/tex] [tex]get[/tex] [tex]20.[/tex] [tex]Which[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]

[tex]-----------------------------------[/tex]

Hope this helps! <3

[tex]-----------------------------------[/tex]

Answer:

slope: 2.7

y-intercept: (0,8)

Step-by-step explanation:

In the form y = mx + b, m is the slope and b is the y-intercept.

Step-by-step explanation:

abx² - (a⁴ + b⁴)x + (a³b³) = 0

(ax - b³)(bx - a³) = 0

Therefore x = b³/a or x = a³/b.

Answer:

We have the expression:

(n + 2)^2 - (n - 2)^2

Let´s break the parentheses:

(n + 2)^2 = n^2 + 4*n + 4

(n - 2)^2 = n^2 - 4n + 4

Then:

(n + 2)^2  - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =

                                 = (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n

Then for any natural value of n, 8*n will be a multiple of 8.

Answer:

Sam is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

Answer:

A ) equivalent

Step-by-step explanation:

<333 .! :)

Answer:

I agree with the answer equivalent because I am also doing the assignment

Have a great day!

Answer:

there is a formula for a hexagon ..  it's

Area = 3[tex]\sqrt{3\\}[/tex]/2 * [tex]length^{2}[/tex]

where length is the length of one side, assuming all sides are equal

Step-by-step explanation:

3*[tex]\sqrt{3}[/tex]/2= 7.348469228.........

since the length is 10...   the length squared is 100

then the total area of the hexagon is 734.8469228...... [tex]units^{2}[/tex].. what ever they are

if you want to work with some concepts.. you could also say that a hexagon is just a box with the corners cut off and the triangles that are missing are the equilateral right triangles with a hypotenuse of 10 .  and since 2 pieces of those triangles make a square.. you can subtract two squares of that size from the bigger box that the hexagon fits into.  this is a long way to figure this out but might be good for trigonometry practice   :)

it will also be 734.8463288.....  see if you can work that out :)