If Leah is 6 years older than her sister,Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

Answers

Answer 1

Answer: Let us assume the age of Sue = x years
Then
Age of Leah = x + 6
Age of John = 5 + (x + 6)
= x + 11
Total of their ages = 41
So
x + x + 6 + x + 11 = 41
3x + 17 = 41
3x = 41 - 17
3x = 24
x = 24/3
= 8 years
So Sue is 8 years old.

Answer 2

Answer: She is 30 years old.

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What do I do here? I forget. lol.Of the Comic books available at the comic book store, 42% are Marvel Comics, 23% are Special Edition Comics and 12% are Marvel and Special Edition Comics. A comic book will be selected randomly from the comic book store. What is the probability the comic will not be a Marvel Comic? What is the probability the selected comic will be a Special Edition given that it is a Marvel Comic?
A.0.58 and 0.29
B. 0.58 and 0.23
C. 0.42 and 0.12
D. 0.23 and 0.42

Answers

the probability would be C. 0.42 and 0.12

Answer:

Step-by-step explanation:

25mi/hr=_______m/min

Answers

I came up with 0.42 miles per minute when I rounded. Without rounding I got 0.41666667

The length of a rectangle is 5cm longer than twice the length of the width. If the perimeter is 88 centimeters, what is the width?

Answers

L = length
W = width
P = perimeter

Equations:
L = 2W + 5
2L + 2W = P
P = 88

Solve using the equations above:

2(2W + 5) + 2W = 88
4W+ 10 + 2W = 88
6W + 10 = 88
6W = 78
w=16

the width is 16 centimeters

The polynomial x3 + 8 is equal to

Answers

Answer:

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

Step-by-step explanation:

The general expansion of a polynomial of type $a^(3) +b^(3)$ is given as follows:

$a^(3) +b^(3) =(a+b)(a^(2) -ab+b^(2) )$

Given polynomial is $x^(3) +8$

This can be written as $x^(3) +2^(3)$ , which is of the form $a^(3) +b^(3)$ .

So we can use the general form to expand this polynomial where;

a→x

b→2

$x^(3) +2^(3)=(x+2)(x^(2) -x*2+2^(2) )$

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

The polynomial x3+8 is equal to (x+2)(x2-2x+4)

Hope this helps:)

What is the area of this figure

Answers

Answer:

247 yd²

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

2 rectangles and one triangle "at the top".

these 3 areas can be easily calculated, and the we simply sum them all up, and that is the total area.

my approach is to pick the first rectangle to be the one extruding one to the right.

R1 = 11×5 = 55 yd²

the second rectangle is then the rest of the"straight" area up to the beginning of the triangle top

R2 = 8 × (13+5) = 8×18 = 144 yd²

and the area of a triangle is

baseline × height / 2

we can clearly see in our example, it is a right-angled triangle, so the left side is also the height, which is the remainder of the long side of the original figure, when we deduct all the other parts we used for the rectangles.

so, we have

T = 8 × (30 - 5 - 13) / 2 = 8×12/2 = 8×6 = 48 yd²

so, in total we have

F = 55 + 144 + 48 = 247 yd²

Which equation is correctly rewritten to solve for x?

Answers

Answer: D

subtract p from both sides

Divide by negative q from both sides

Answer:

D equation is correctly rewritten to solve equation

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Please help, test review. Need done today

Tell whether the two rates form a proportion 7 inches 9 hours; 42 inches in 54 hours