Hy! (√2+1)²+(3-√3)²-(√5+1)²=???
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Answers

Answer 1

Answer: $(\sqrt2+1)^2+(3-\sqrt3)^2-(\sqrt5+1)^2=\n2+2\sqrt2+9-6\sqrt3+9-(5+2\sqrt5+1)=\n20+2\sqrt2-6\sqrt3-5-2\sqrt5-1=\n14+2\sqrt2-6\sqrt3-2\sqrt5$

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Janet invested $10,000, part at 2% and part at 12%. if the total interest at the end of the year is $600, how much did she invested at 2%

Answers

Janet invested $6000 at 2 %.

Let x = amount invested at 2 %. Then 10 000 - x = amount invested at 12 %

interest at 2 % + interest at 12 % = 600

0.02x + 0.12(10 000 – x) = 600

0.02x + 1200 – 0.12x = 600

0.10x = 600

x = 600/0.10 = 6000

justin is joining a gym . The gym is currently offering a discount on the fee to join and on the monthly rate

Answers

After answering the presented question, we can conclude that As a result, the system of equations solution is (3, 35).

What is equation?

An equation is a mathematical statement that validates the equivalent of two expressions joined by the equal symbol '='. For instance, 2x - 5 = 13. 2x-5 and 13 are two examples of expressions. The character '=' connects the two expressions. An equation is a mathematical formula that has two algebras on each side of an assignment operator (=). It demonstrates the equivalency link between the left and middle formulas. L.H.S. = R.H.S. (left side = right side) in any formula.

Thus the first month's savings would be: (Regular price) - (Discounted price) = (151 + 20) - (101 + 5) = $20.

Part C: Using the equations from Parts A and B, we can construct the following system of equations:

Y = 10X + 5 (Discounted pricing equation) (Discounted price equation)

Y = 15X + 20 (Normal price equation) (Regular price equation)

We can solve this system by substituting one equation for the other:

10X + 5 = 15X + 20

When we simplify this equation, we get:

5X = 15

X = 3

Then we can plug X = 3 into either equation to determine the value of Y:

Y = 10(3) + 5 = 35

As a result, the system of equations solution is (3, 35).

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The correct question is -

Justin is joining a gym the gym is offering a discount on the fee to join and on the monthly rate the discounted price in dollars the gym charges can be represented by the equation Y equals 10 X +5

Part A what are the slope and the Y intercept of the equation what do the slope and y-intercept each represent in this situation ?.

Part B the regular price in dollar the gym charges can be represented by the equation Y equals 15 X +20. How much money in dollars does Justin save the first month by joining the gym at the discounted price rather than the regular price

Part C Justin create a system of equation based on the equation from part a and the equation from part B, the solution to the system of equation is (-3, -25) Why is the point (-3, ,-25) not possible solution in this solution ?

Nine more than thirty divided by ten

Answers

3.9

9 more than so 9+30 so 39÷10 so 3.9

Step-by-step explanation:

Nine more than thirty divided by ten

This is not algebra but a simple expression, but written like this it has 2 interpretations, so in mathematics numbers and signs are used instead of words, the two expressions could be 9 + 30 : 10 = or (9 + 30) : 10 =

9 + 30 : 10 = (remember PEMDAS)

9 + 3 =

(9 + 30) : 10 =

39 : 10 =

39/10 or 3.9

There are 49,000 seats in a sports stadium. Tickets for the seats in the upper level sell for $25, the ones in the middle level cost $30 and the ones in the lower level are $35 each. The number of seats in the middle and bottom levels together equal the number of seats in the upper level. When all of the seats are sold for an event, the total revenue is $1,419,500. How many seats have been sold in the upper level?

Answers

u- amount of upper level tickets which cost 25$
m-amount of middle level tickets which cost 30$
b-amount of bottom level tickets which cost 35$

m+b=u and
m+b+u=49000 and
25u+30m+35b=1419500

putting u from first equation to the second
2u=49000
u=24500 - seats in upper level
m+b=24500 so m=24500-b
25*24500+30(24500-b)+35b=1419500
612500+735000-30b+35b=1419500
1347500+5b=1419500
5b=72000 /:5
b=14400 amount of seads in bottom level

What is the volume of the right prism? A.3780 in3

B.16,800 in3

C.8400 in3

D.3360 in3

Answers

What is the volume of the right prism?

C.8400 in3

Kelly works in the clothing store where she earns a 20% commission on the clothes she sells. Last Saturday she sold $500 in merchandise. what is her commission for Saturday?