MATHEMATICS HIGH SCHOOL

Taylor charges $15 for the first hour of dog walking and $10 for each additional hour or fraction of an hour. The rates that Lucy charges for x hours of dog walking are modeled with the function shown.f(x) = LaTeX: \lbrace{LaTeX: \begin{matrix}\text{20x, 0 ≤ x ≤ 2}\\\text{10x, 2 4}\end{matrix}20x, 0 ≤ x ≤ 2 10x, 2 4

Who will charge more to walk a dog for 2.5 hours, Taylor or Lucy? How much more?

Who?:

How much more?:

Answers

Answer 1

Answer:

Answer:

Taylor will charge more by $15

Step-by-step explanation:

Given

Taylor

First Hour = $15

Hourly Rate = $10

Lucy:

$f(x) = \left \{ {{20x,\ 0 \le \ x \ \le 2} \atop {10x, x>2}} \right.$

For a dog walk of 2.5 hours.

Taylor's charges is:

$Charges = First\ Hour + Hourly\ Rate * 2.5$

$Charges = \$15 + \$10 * 2.5$

$Charges = \$15 + \$25$

$Charges = \$40$

Lucy's charges is:

Here, we consider

$f(x) = 10x$ Because $x > 2$

i.e 2.5 > 2

So, Lucy's charges is:

$Charges = 10 * \$2.5$

$Charges = \$25$

By comparison;

Taylor will charge more by $15

The difference is calculated by:

$Difference = \$40 - \$25$

$Difference = \$15$

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The price of a video game is $35.60. If you purchase the video game for $30.26 with a coupon, what percent of the original price did you pay for the game?

Answers

There are several information's of immense importance that are given in the question. Based on these information's the answer to the question can be easily deduced.
Original price of the video game = $35.60
Price at which the video game is bought = $30.26
Percentage of original price
that is paid for the video game = (30.26/35.60) * 100
= 3026/35.60
= 85 percent

What is tan(B)?
13
5
B
12
?
tan(B) =
Enter

Answers

Answer:

tan B = 5/12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan B = 5/12

Please I need help asap.

Answers

QR is the median of the trapezoid, so its length is the average of the top and bottom bases. Write that. Say (length of QR)=1/2 of (length of the top + length of the bottom). That gives you a nice simple equation that you can easily solve for 'x'.

What is another way to say 345 centimeters?345 mm
345 cm
34.5 dl
345 cg

Answers

non of them are right unless u ment 3450 mm or u could say 3.45 meters

Answer:

3450 mm

Step-by-step explanation:

Which of the following tables represents a proportional relationship?A. x 8 16 24 32
y 24 48 72 96

B. x 8 9 10 11
y 24 48 72 96

C. x 32 33 34 35
y 96 72 48 24

D. x 32 36 40 44
y 96 112 128 144

Answers

The solution is Option A.

x = { 8 , 16 , 24 , 32 }

y = { 24 , 48 , 72 , 96 }

The table shows a proportional relationship as y = 3x

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the values in the set x be Set A = { 8 , 16 , 24 , 32 }

Let the values in the set y be Set B = { 24 , 48 , 72 , 96 }

Now , the relationship between the first element of set A and the first element of set B is y = ab

where a is the constant of proportionality

Now , substituting the values of x and y , we get

24 = 8a

Divide by 8 on both sides of the equation , we get

a = 3

Therefore , the proportional relationship between x and y is y = 3x

24 = 3 x 8

48 = 3 x 16