Bob is 15 and susan is 21, find the ratio of his age to hers____________

Answers

Answer 1

Answer: Ratios can be expressed with a colon, fraction bar, or the word 'to' inbetween.

Bob's age:Susan's age
Bob's age/Susan's age
Bob's age to Susan's age

Of course we can substitute their ages here to get our ratio.

15:21, 15/21, or 15 to 21.

Just like a fraction, it can be simplified.
If you multiply/divide the top and bottom by the same number the ratio stays the same, just like how 1/2 = 2/4 = 3/6.

15 and 21 are both divisible by 3, so our ratio 15:21 can simplify to 5:7.

Answer 2

Answer: so ratio of bob to susan=bob:susan
bob=15
susan=21
bob:susan=15:21
these are like fractions or equal signs so
15:21=5:7

ratio is 5:7

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given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Give an example choosing your own values for a and b

Answers

The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps!

Solve and check the following equations x-1/3=2/3

Answers

Answer:

x -1/3 = 2/3

x= 2/3+1/3

x= 3/3

x=1

Step-by-step explanation:

Which solid figure has six vertices?

Answers

A triangular prism has six vertices.

Write the quadratic equation whose roots are-1 and 6, and whose leading coefficient is 4

(Use the letter to represent the variable.)
?=0

Answers

The quadraticequation is 4x² - 20x - 24 = 0 whose roots are-1 and 6.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The roots are given in the question, as follows:

-1 and 6

As we know that the standard quadratic equation ax² + b x + c = 0.

Since the leading coefficient of the quadratic equation is 4

So, a = 4

The sum of roots = -b/a

-1 + 6 = -b/4

5 = -b/4

b = -20

The multiplication of roots = c/a

-1 × 6 = c/4

c = -24

So, the quadratic equation is 4x² - 20x - 24 = 0.

Learn more about quadratic function here:

brainly.com/question/14083225

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You've got a=4

-b/a=sum=-1+6=5 so b=-20

c/a=product=-1*6=-6 so c=-6

Final equation: $4x^2-20x-6=0$

Tasha is measuring the charge c(t) in a battery that has been charged for t minutes. Which of the following is the most appropriate domain for c(t)?A.Positive integers only
B.All real numbers
C.All positive numbers
D.All integers

Answers

c(t)

In a function the domain is all the values of t while the range is all the values of c(t).

Since t represents time in minutes, most appropriate domain for c(t) is A. Positive integers only.

Positive integers are numbers that starts with 1 and so on...

1/2(x-4)=4. Solve for x

Answers

1/2(x-4)=4
1/2x-2=4 (expand the brackets)
1/2x=6 (added 2 to both sides)
x= 6/(1/2)
x= 6*2
x=12

1/2(x-4) = 4

Multiply each side of the equation by 2 : (x- 4) = 8

Add 4 to each side of the equation: x = 12

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