4 boys weighed themselves in different pairs and alone. The weights of the pairs were 110kg, 112 kg, 113kg, 118kg, 121 kg, and the weight of one pair was lost. The total weight of the 4 boys was 230kg. What was the lost weight?

Answer:

Step-by-step explanation:

Dilation of a line about a point not on the line shifts the line but leaves the slope intact .

New line slope will be -2

As both A and C lie on a horizontal line y = 2, C' will also lie on the same line

The distance between A and C is 0 - 2 = -2

a scale factor of 3 means C' is -2(3) = -6 units left of A

C' = (2 - 6, 2) = (-4. 2)

Answer:

Well your saying division but it looks like square root when you make the sharp edge there but I will answer the division one

so 21 goes into 65 3 times maximum

so 21*3 is 63

so we subtract 63 and put a 3 on top

so eventually you’d get 31.142857 (never ending decimal)

So you can convert into a fraction, at this rate I’d just put it in a calcualtor and it‘ll do it for you

so 31 1/7 is the final answer

Answer:

60%    

Step-by-step explanation:

number well done/total burgers cooked ×100

45/75 × 100

4500/7500

60%    

Check: Total  ×  60%  = 75 ×.60 = 45 well done

Answer:

10404

Step-by-step explanation:

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

9514 1404 393

Answer:

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

  Sin = Opposite/Hypotenuse

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

  tan(A) = 7/24

  sin(A) = 7/25

  cos(A) = 24/25

Answer:

Not quite in proof format but here's a short explaination. You should be able to fill out the table yourself.

It is given that <T=<Y and <V+<U=180 degrees

<T=<Y are corresponding angles. Corresponding angles are congruent when the two lines (that the third line crosses to make a transversal) are parallel. So, l1 and l2 are parallel.

<V+<U are supplementary angles. They are same side interior angles. Same side interior angles are supplementary when two lines of the transversal are parallel (basically same thing as above, just different type of angle). So, l3 and l4 are parallel.

<R=<U because they are alternate interior angles. Alternate interior angles are congruent when the two lines are parallel (you have proved that l3 and l4 are parallel above).

<P=<C because they are alternate exterior angles. Alternate exterior angles are congruent when the two lines are parellel (you have proved that l1 and l2 are parallel above).

Answer:

-1/3

Step-by-step explanation:

Answer:

-1/3

Step-by-step explanation:

5/12+(-9/12)

5/12 - 9/12 = -4/12

-4/12 = -1/3

Answer:

8%

Step-by-step explanation:

u have to multiply the number with 100

0.08 * 100

8%

Answer:

y=−2x+8

Step-by-step explanation:

https://socratic.org/questions/how-do-you-write-an-equation-of-a-line-with-slope-2-y-intercept-8

Answer:

3x2+6x is a polynomial. Polynomials are algebraic expressions in which the variables have only non-negative integer powers. For example,: 5x2 - x + 1 is a polynomial.

Answer: Offer B because it will cost less.

Step-by-step explanation: Hope this helps :)

Answer:

[tex]i)a + 2b = 2 + 2(3) = 2 + 6 = 8 \\ ii)a + b + c = 2 + 3 + 3 = 2 + 6 = 8[/tex]

Answer:

a = 2, b = 3 and c = 3

a + 2b

2 + 2(3) = 2 + 6 = 8

a + b + c

2 + 3 + 3 = 8

Thus, The answer of i.) is 8 and ii.) is 8

-TheUnknownScientist 72

Answer:

34

26

8

Step-by-step explanation:

Answer:

he had $250.00 more at the end of lunch

Step-by-step explanation:

Answer:

Simplify the expression using the definition of an imaginary number  

i=√-i

iStep-by-step explanation:

Answer:

37.5cm sifjueikksksoowi

Answer:

38.5 = width

Step-by-step explanation:

Answer:

  -3x +5y = 18

Step-by-step explanation:

The inverse relation is found by swapping x and y.

Answer:

Solve equation [2] for the variable y

[2] y = -2x + 1

// Plug this in for variable y in equation [1]

[1] (-2x+1) + 4x = -3

[1] 2x = -4

// Solve equation [1] for the variable x

[1] 2x = - 4

[1] x = - 2

// By now we know this much :

y = -2x+1

x = -2

// Use the x value to solve for y

y = -2(-2)+1 = 5

Solution :

{y,x} = {5,-2}

Answer: 19 + r = 23

Step-by-step explanation:

r = 4

19 + 4 = 23

Answer:

divide the given line into halves

Answer:

90

Step-by-step explanation:

start from the beginning, then if you go 2 steps at a time, then you have 1 step left over at the end, let's assume the length of the stair case is x, so then we will be going up 2/3x steps, and have 1/3 x steps left.

2/3 x = somewhere between 80 and 90, so that means it must be divisible by 3, so 81,84,87,90

3/5 x ==> only 90

y = 138

Step-by-step explanation:

6x + 5x +2 = 90°

11x = 90 - 2

11x = 88

x = 8

5x + 2 + y = 180

5(8) + 2 + y = 180

40 + 2 + y =180

42 + y = 180

180 - 42 = y

y = 138

anser is

Step-by-step explanation:

618 is the answer

Answer:

$97.75

Step-by-step explanation:

115 times 0.85