A man has rs 10000 .he lost 2/5 of his money and spent -1/4 of the remainder. Find the remaining money with him now?

Answers

Answer 1
Answer: He has $4,500 left with him

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Which of the following is a correct interpretation of the expression 2 +7

Answers

Answer:

The number that is 7 to the right of 2 on the number line

Step-by-step explanation:

Answer:

9...

Step-by-step explanation:

Kim works at a cake shop. She is able to make an average of 2.0 cakes an hour. Her workday is 8.5 hours. How many cakes does Kim make on an average day?

Answers

Answer:

Kim can make 4 cakes.

Step-by-step explanation:

since you can't sell half a cake and it takes 2 hours for her to make a cake she can only make 4 cakes on an average day. hope this helps good luck in the future

Kim can make 4 cakes

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

Answers

Answer:

x  = (1131)/(99).

Step-by-step explanation:

Given  : 11.42424242 …

To find : Convert it to a rational expression in the form of a over b, where b ≠ 0.

Solution: We have given 11.42424242 …

We can see here two number 42 are repeating.

Let x = 11.42424242 …

On multiplying both sides by 100

100x = 100 * 11.42424242 …

100x = 1142.424242.....

100x = 11.4242.....+1131.00000.....

100x = x + 1131.0000....

On subtracting both sides by x

100x -x = 1131

99x = 1131.

On dividing both side by99.

x  = (1131)/(99).

Therefore, x  = (1131)/(99).

11.42... = 11 42/99 = 1131/99 reduces to 377/33

One positive number is 5 less than twice a second number, and their product is 117. Find the two numbers.

Answers

x,y - the numbers

one positive number is 5 less than twice a second number

(1)    x - 5 = 2y

their product is 117

(2)    xy = 117

(1)     x - 5 = 2y     add 5 to both sides

x = 2y + 5   substitute it to (2)

(2y + 5)y = 117     use distributive property

(2y)(y) + (5)(y) = 117

2y² + 5y = 117      subtract 117 from both sides

2y² + 5y - 117 = 0

2y² + 18y - 13y - 117 = 0

2y(y + 9) - 13(y + 9) = 0

(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0

y + 9 = 0    subtract 9 from both sides

y = -9

2y - 13 = 0     add 13 to both sides

2y = 13     divide both sides by 2

y = 6.5

substitute the values of y to (1)

x = 2(-9) + 5 = -18 + 5 = -13 < 0

x = 2(6.5) + 5 = 13 + 5 = 18

Answer: x = 18 and y = 6.5

What’s the area of this figure?

Answers

Answer:

374 mm

Step-by-step explanation:

There are two rectangles and one triangle. This means that we need to add the sum of two rectangles and one triangle together.

Rectangle 1:

19*9=171

Rectangle 2:

19*9=171

Triangle:

8*23*1/2=32

(We divide by 1/2 because it's a triangle)

Now we add them together.

171+171+32=374

In the end, the answer is 374. I didn't show all of my work because most of it was done mentally.

470 square mm. the area of the right triangle is 128 sq mm because 32x11=256 and 256/2=128

What are the zeroes of f(x) = x2 - 2x - 3?x= -3,1
x= -3, -1
X= 3,1
x=3, -1

Answers

Answer:

{-1, 3}

Step-by-step explanation:

Please use " ^ " to denote exponentiation:   f(x) = x^2 - 2x - 3.

To find the zeros of this quadratic, set it equal to zero first:

f(x) = x^2 - 2x - 3 = 0.

Now factor this result:  (x - 3)(x + 1) = 0.

The zeros are {-1, 3}