Increase £680 by 15%

Answers

Answer 1
Answer: \pounds \ 680 \cdot 15\ \% = \pounds \ 680 \cdot 0.15=\pounds \ 102\n\n\pounds \ 680 + \pounds \ 102 = \pounds \ 782


Answer 2
Answer: a) multiply 680 x 15 = 10,200
b) divide 10,200 by 100 = 102
c) Add 680 + 102 =  £782

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Is y=-2+5x a function

Answers

Answer:

No

Step-by-step explanation:

Because of the y^2, each value of x will be represented twice on the y-axis. Henceforth, the vertical line will pass through this line twice. THIS IS NOT A FUNCTION. ... It passes the vertical test for function.

What is he reciprocal of 3

Answers

1/3 because reciprocal is the opposite
THE RECIPROCAL IS 1/3..............

3/2 divided 1/4=n then n is between

Answers

3/2 ÷ 1/4= n 

n(3/2) (4/1) = n 

n= 12÷2 

Which gives you six


Which is a factored form of 8x^3+1?

Answers

in factor form (2x+1)(4x^2-2x+1)

solve the triangle. round lengths to the nearest tenth and angle measures to the nearest degree a=7 b=7 c=5

Answers

Hello,

a,b,c are the sides.

1) first idea
Theorem of Al' Kashi (genralized pythagorean theorem) will help us

a²=b²+c²-2bc cosA  ==>49=49+25-2*7*5*cos A
==>cos A=25/70=5/14 ==>
A=69,075167572361683699967605141899 °≈69°

b²=a²+c²-2ac cos B ==> 49=49+25-2*7*5 * cos B==>cos B=5/14
B=A (triangle is isocele ==> a second method)

C=180-2*69=42°

II)
The triangle isocele is formed with 2 right triangles.
(base=5/2 hypotenuse=7)

cos B=(5/2)/7=5/14 (the same) ==>B=69°
A=B=69°
C=42°





A bowl contains 4 red marbles and 3 yellow marbles. Tim randomly draws 3 red marbles from the bowl. He replaces each marble after it is drawn. What is the probability that he draws 2 yellow and 1 red?

Answers

So,

The probability of drawing a yellow marble is (3)/(7).
Since he replaces the marble after it is drawn out, the probability of drawing another yellow is the same: (3)/(7).

The probability of drawing a red marble is (4)/(7).

In order to get the probability of drawing 2 yellow marbles and 1 red marble, given that each marble is replaced after it is drawn out, we must multiply the fractions together.

( (3)/(7) )( (3)/(7) )( (4)/(7) ) =  (36)/(343)

Because the order of the marbles doesn't matter, we will multiply the probability by 3.
3( (36)/(343) ) =  (108)/(343)