Hernando ate 2/8 of a pizza for a dinner. he gave his 6 friends the rest of the pizza, and told them to share equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below.
6/8 divided by 6= (6 divided by 6)/8= 1/8
he concluded that each person received 1/8 of the whole pizza. Are Hernando's calculations correct?

O yes they are correct. Hernando divided 6 by 6
O yes they are correct. Hernando divided 2/8 by 6
O No they are not correct. Hernando should have multiplied by 6, not divided by 6
O No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.

Answer:

you need to read 11 or more books to pass your goal

Step-by-step explanation:

Answer:

z= (-11+10B)/9

Step-by-step explanation:

Divide both sides by 9.  

Answer:

-2/-0.25=8

4/0.5=8

Step-by-step explanation:

both of their answers are 8

Answer: B. negative association

The data in the scatter plot shows a negative assocation. As the X-values increase, the Y-values decrease.

Answer:

x  ≤  6

Step-by-step explanation:

2x - 1 ≤ x + 5

Subtract x from each side

2x-x - 1 ≤ x-x + 5

x - 1 ≤  5

Add 1 to each side

x - 1+1 ≤  5+1

x  ≤  6

Answer:

x [tex]\leq[/tex] 6

Step-by-step explanation:

Solve for  x  by simplifying both sides of the inequality, then isolating the variable.  Inequality Form:  x  ≤  6

Answer:

8/10

Step-by-step explanation:

Answer:lol

Im a dude but you trying to pick up a girl on a school site is hilarious

Step-by-step explanation:

Answer:

Same type of way

Step-by-step explanation:

Times 17x - 8 by 3, then make it equal to 180, then see what X is

Answer:

4

Step-by-step explanation:

Given that the triangle shown is an equilateral triangle (all sides are marked with a dash meaning they are equal in length), each angle of the triangle must be 60°.

With this information:

[tex]17x-8=60[/tex]

[tex]17x=68\\x=4[/tex]

∴The value of x is 4.

Answer:

5 years

Step-by-step explanation:

Given that:

Amount borrowed = principal = p = $15000

Interest % per year = r = 6% = 0?06

Total Interest paid = $4500

Number of years it took to repay the loan (t) =?

Simple interest = (p * r * t)

4500 = (15000 * 0.06 * t)

4500 = 900t

4500 / 900 = t

5 = t

It tool 5 years to repay the loan

Answer:

x < 2

Step-by-step explanation:

1. Isolate x by adding 25 to both sides: 5x < 10

2. Divide both sides by 5: x < 2

Answer:

On 01 January 2021: Debit Cash for $50,000; and Credit Note payable for $50,000.

On 31 Jan 2021: Debit Interest expense for $250; Debit Note payable for $578.64; and Credit Cash for $828.64.

On 28 Feb 2021: Debit Interest expense for $247.11; Debit Note payable for $581.53; Credit Cash for $828.64.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

On January 1, 2021, Tropical Paradise borrows $50,000 by agreeing to a 6%, six-year note with the bank. The funds will be used to purchase a new BMW convertible for use in promoting resort properties to potential customers. Loan payments of $828.64 are due at the end of each month with the first installment due on January 31, 2021.

Record the issuance of the installment note payable and the first two monthly payments.

The explanation to the answer is now given as follows:

Date                Account Title                     Dr ($)                 CR ($)        

01 Jan 2021    Cash                                  50,000

                          Note payable                                            50,000

                        (To record $50,000 borrowing through 6% Note from the bank.)

31 Jan 2021     Interest expense (w.1)        250

                         Note payable (w.2)            578.64

                            Cash                                                         828.64

                          (To record first month interest expense paid and part payment of $50,000 note.)

28 Feb 2021    Interest expense (w.4)       247.11

                         Note payable (w.5)            581.53

                             Cash                                                        828.64

                          (To record second month interest expense paid and part payment of $50,000 note.)

Workings:

w.1: Interest expense = First month interest expense = (Interest rate / 12) * Loan amount = (6% / 12) *$50,000 = $250

w.2: Note payable = First month part payment of note payable principal = Monthly payment - First month interest expense = $828.64 - $250 = $578.64

w.3: Loan balance after first month = Loan amount - First month part payment of note payable principal = $50,000 - $578.64 = $49,421.36

w.4: Interest expense = Second month interest expense = (Interest rate / 12) * Loan balance after first month = (6% / 12) *$49,421.36 = $247.11

w.5: Note payable = Second month part payment of note payable principal = Monthly payment - Second month interest expense = $828.64 - $247.11 = $581.53

The missing step and reason is [tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]  and

Reason is Tangent sum identity

Formulas for the tangent function can be derived from similar formulas involving the sine and cosine.

[tex]tan(x+y) = \frac{tan(x) + tan(y) }{1-tan(x) tan(y)}[/tex]

According to the question

A 2-column table with 3 rows.

Column 1 : row 1 :  tangent (2 x) = tangent (x + x)  

reason given as addition

Column 1 : row 2:

Need to fill next step

i.e

By using  formula of identity tan(x+y)

[tex]tan(x+y) = \frac{tan(x) + tan(y) }{1-tan(x) tan(y)}[/tex]

substituting the value

[tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]

Reason : Tangent sum identity

Hence,  the missing step and reason is [tex]tan(x+x) = \frac{tan(x) + tan(x) }{1-tan(x) tan(x)}[/tex]  and

Reason is Tangent sum identity

To know more about identity tan(x+y) here:

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Answer:

7cm

Step-by-step explanation:

See since 10 shrunk to 5

And it is the same shape but smaller, each side must be divided by 2 and 14/2 is 7

That's my reasoning for this

Answer: The answer is No, it's not a scaled factor. That's my answer, you can figure it out why it's no.

Step-by-step explanation:

Answer:

debt

Step-by-step explanation: hope this helps

Answer:

Step-by-step explanation:

-6 is rational because it can be written as a ratio -6/1 for example

Answer:

c

Step-by-step explanation:

Answer:

y = -48

Step-by-step explanation:

y = 4 . 2x

y = 4 . 2 . -6

y = 8 . -6

y = -48

Hope this helps :)

Answer:

525 mL

Step-by-step explanation:

Never mind it is not 175 that is what is left he drank 525ml

Answer:

15% off of 32$ will be 27.20$ I believe this is the answer.

Step-by-step explanation:

Answer:

400$

Step-by-step explanation:

since he receives 20 percent of the sales and he receives 80 dollars. Then 80 dollars is 20 percent of the sales. Now, we can change 20 percent into a fraction, 20 percent is 20/100 or 2/10, now there are 5 twos in a ten so we multiply 2/10 by 5, since 2/10 right now is 80 dollars you multiply 80 by 5

80*5=400, so the sales of the week was 400 dollars

Hope this helps :)

Answer:

Thus, the sales of the week were $400

Step-by-step explanation:

Percentages

The salesman receives a 20% commission on all his sales.

One week the company pays $80 as commission.

This means that $80 corresponds to 20% of the sales.

To find the sales, we just divide the commission by the percentage (expressed as a decimal) as follows:

Sales = $80 / (20/100)

Sales = $80 / 0.20

Sales = $400

Thus, the sales of the week were $400

Answer:

x

2

+6xy+9y

2

+4x+12y−5=0

Step-by-step explanation:

x

2

+6xy+9y

2

+4x+12y−5=0

Comparing the equation with the general equation of second degree gives

a=1,b=9,h=3,g=2,f=6,c=−5

Angle between a pair of straight lines that is tanθ=

∣

∣

∣

∣

∣

∣

​

a+b

2

h

2

−ab

​

​

∣

∣

∣

∣

∣

∣

​

tanθ=

∣

∣

∣

∣

∣

​

1+9

2

9−1×9

​

​

∣

∣

∣

∣

∣

​

=

9

0

​

tanθ=0

⇒θ=tan

−

(0)=0

∘

Angle between the pair of straight lines is zero therefore the lines are parallel.

Hence proved

Angle between the pair of straight lines is zero therefore the lines are parallel.

Parallel lines can be defined as two lines in the same plane that their angle of inclidation is equal and never meet.

Given,

x²+6xy+9y²-4x+12y-5=0

Comparing the equation with the general equation of 2nd degree

ax² + ay² + 2gx + 2fy + c = 0

so a=1, b=9, h= 3, g=-2, f=6, c=5

Angle between a pair of straight lines that is

tan∅=[tex]\frac{2\sqrt{h^{2} -ab} }{a+b}[/tex]

tan∅=[tex]\frac{2\sqrt{3^{2} -(1)(9)} }{1+9}[/tex]

tan∅=0°

∅=0°

Hence Angle between the pair of straight lines is zero therefore the lines are parallel.

Learn more about straight lines

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Answer:

Just say no thanks i have a bf

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

The equation for a 90 degree clockwise rotation is (x,y) -> (y,-x)

so (-2, 2) -> (2,2). You can also look up "rotation calculator", it really helped me get through this unit haha

Answer:

m=-32

Step-by-step explanation:

Answer:

M=(-32)

Step-by-step explanation:

-(9m+12)=6(14-m)

-(9m+12)=84-6m

-9m-12=84-6m

-9m+6m-12=84

-3m-12=84

-3m-12+12=84+12

-3m=96

-3m÷(-3)=96÷(-3)

m=(-32)

Answer: 0.17

Step-by-step explanation:

If she bought one pint of juice and there are 16 fluid ounces in one pint then you would take 2.72 the cost of it and divide ut by 16. So, 2.72/16 which is 0.17.

Answer:

follow the insructions from the answer before

Step-by-step explanation:

Answer:

y=4x-9

Step-by-step explanation:

Answer:

68.875 / 7.25 = 9 1/2 pounds

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/x=5/7 is the same as A 21=5x Both equal to 21/5 or 4 1/5

Answer:

(0,1) is the y-intercept

Step-by-step explanation:

EZZZZZZ

Answer:

The y intercept is 1.

Step-by-step explanation:

When putting these points on a line and using rise and run, your slope will be -4,, and the y intercept is 1. :D

Answer:

Step-by-step explanation:

the slope is 5/4