MATHEMATICS HIGH SCHOOL

Expand it please
(2/7z-3/5x)2

Answers

Answer 1
Answer:

Answer:   \bold{(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2}

Step-by-step explanation:

\bigg((2)/(7)z-(3)/(5)x\bigg)\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(2)/(7)z\bigg((2)/(7)z-(3)/(5)x\bigg)-(3)/(5)x\bigg((2)/(7)z-(3)/(5)x\bigg)\n\n\n=(4)/(49)z^2-(6)/(35)xz-(6)/(35)xz+(9)/(25)x^2\n\n\n=(4)/(49)z^2-(12)/(35)xz+(9)/(25)x^2

Related Questions

you invest 4,400 in an account that pays an interest rate of 6.5 % compounded continuously ,calculate the balance of your account after 3 years .round your answer to the nearest hundreth
What two numbers multiply to get 77 but add up to 18?
Half of a number decreased by 8 is 3
What is the excluded value of x for the expression 1/x-6? A.) x = –6 B.) x = –1 C.) x = 1 D.) x = 6
Of the hundred and 25 invited to a wedding, 104 attended the wedding. What percent of the invited guests attended the wedding??

It 3:00 here, and Australia is 13 hours ahead of us what time is it in Australia?

Answers

if it's 3 a.m
in Australia it is 4 p.m
3:00am or 15:00 in Australia I think

Laurie's favourite football team has had a bad century! They have only won the grand final once in a hundred years. Laurie won't say what year it was. All he will say is that it's the same year when you're standing on your head as when you are standing upright. What year (in the 1900's) did his team win the grand final?

Answers

Answer: 1961

Step-by-step explanation: If you flip 1961 upside-down, it looks the same.

A retired couple invested $6000 in bonds. At the end of one year, they received an interest payment of $396. What was the simple interest rate of the bonds?
           
Do NOT round off a decimal answer. 
Do NOT include a  symbol with your answer.

Answers

That is an interest rate of 6.6%

Answer: Simple interest Rate = 6.6%

Step-by-step explanation:

Simple Interest = PRT/100

P = $6000

T=1

R= ?

Simple Interest = 396

From Simple Interest = PRT/100

396 = (6000 x R x 1)/100

396 = 6000R/100

39600 = 6000R

R = 39600/6000

R = 6.6%

Simple interest Rate = 6.6%

9x+10=11x-10
Please show work

Answers

Answer:

x=10

Step-by-step explanation:

1) Subtract 10 from both sides of the equation

9x+10=11x-10\n9x+10-10=11x-10-10

2) Simplify

a. Subtract the numbers

b. Subtract the numbers again

9x=11x-20

3) Subtract 11x from both sides of the equation

9x=11x-20\n9x-11=11x-20-11x

4) Simplify

a. Combine like terms

b. Combine like terms again

-2x=-20

5) Divide both sides of the equation by the same term

-2x=20\n(-2x)/(-2) =(-20)/(-2)

6) Simplify

a. Cancel terms that are in both the numerator and denominator

(-2x)/(-2) =(-20)/(-2) \nx=(-20)/(2)

b. Divide the numbers

x=(-20)/(-2x) \nx=10
Simplifying
9x + 10 = 11x + -10

Reorder the terms:
10 + 9x = 11x + -10

Reorder the terms:
10 + 9x = -10 + 11x

Solving
10 + 9x = -10 + 11x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.
10 + 9x + -11x = -10 + 11x + -11x

Combine like terms: 9x + -11x = -2x
10 + -2x = -10 + 11x + -11x

Combine like terms: 11x + -11x = 0
10 + -2x = -10 + 0
10 + -2x = -10

Add '-10' to each side of the equation.
10 + -10 + -2x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -10 + -10
-2x = -10 + -10

Combine like terms: -10 + -10 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

What is the nearest one for the number 6,846,372.205? Option 1: 6,846,372.2 Option 2: 6,846,372 Option 3: 6,846,373 Option 4: 6,846,372.3

Answers

Answer:

option 2: 6,846,372

Step-by-step explanation:

The nearest one for 6,846,372.205 would be 6,846,372

Look at the tenths place (2). It's less than 5 so we round to 6,846,372.

Option 1 is incorrect; it rounds to the tenths place.

Option 3 is incorrect; it rounded UP to 3 in the ones place.

Option 4 is incorrect; it rounds up to the tenths place.

Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?a.
Fran will meet her goal working 15 hours per week.
b.
Fran must work 17 hours per week to meet her goal.
c.
Fran must work 18 hours per week to meet her goal.
d.
Fran will not be able to reach her goal.

Answers

The correct answer for the given problem above would be option B. Fran must work 17 hours per week to meet her goal. Why? According to the given details above, Fran works 15 hours per week for $225 which makes it $15 per hour. If she adds another 2 hours per week to make it 17 hours, then she will earn $255 dollars per week. Now, since she is saving $40 dollars plus the two hours which is $30, a total of $70 per week of savings, multiplied by 20 weeks, then, she will be able to get $1,400.

Based on the number of hours Fran works and the amount she saves, the true statement is that b. Fran must work 17 hours per week to meet her goal.

What should Fran do to reach her target?

If Fran wants to save $1,400 after 20 weeks, the amount she should save weekly is:

= 1,400 / 20

= $70 per week

Her current wage rate is:

= 225 / 15

= $15 an hour

She currently saves $40 and can keep any amount she works over 15 hours. The number of hours she then needs to work over 15 hours is:

= (Target savings - Current savings) / Wage per hour

= (70 - 40) / 15

= 2 hours

Add this to her current hours:

= 15 + 2

= 17 hours per week

Find out more on calculating wage rates at brainly.com/question/23469573.

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