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2 years ago

Write an expression for “Triple the sum of 33 and b”. *

Mathematics

1 answer:

IrinaK [193]2 years ago

8 0

Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.

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Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $1

Simora [160]

Answer:

Cathy was driving at a speed of 67 miles per hour.

Step-by-step explanation:

Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.

We solve this using a rule of three.

1 mile - $15

x miles - $105

Applying cross multiplication:

15x = 105

x = 105/5 = 7.

Cathy was 7 miles above the speed limit.

How fast was Cathy driving?

7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.

Cathy was driving at a speed of 67 miles per hour.

3 0

3 years ago

Given that f(x) = x + 3 a) Find f(2)

Nataly_w [17]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Here we go ~

In the above question, it is given that :

$\qquad \sf \boxed{ \sf f(x) = \frac{x + 3}{2} }$

A.) Find f(2) :

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{2 + 3}{2}$

$\qquad \sf \dashrightarrow \: f(2) = \dfrac{5}{2}$

$\qquad \sf \dashrightarrow \: f(2) = 0.5$

B.) Find ${ \sf {f}^{-1}(x) }$ :

$\qquad \sf \dashrightarrow \: let \: y = f (x)$

so, we can write it as :

$\qquad \sf \dashrightarrow \: y = \dfrac{x + 3}{2}$

$\qquad \sf \dashrightarrow \: 2y = x + 3$

$\qquad \sf \dashrightarrow \: x = 2y - 3$

Now, put x = ${ \sf {f}^{-1}(x) }$ , and y = x and we will get our required inverse function ~

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3$

C.) Find ${ \sf {f}^{-1}(12) }$ :

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 36- 3$

$\qquad \sf \dashrightarrow \: f {}^{ - 1}(12) = 33$

7 0

6 months ago

Identify which lines are parallel y=(1/2)× 4

mars1129 [50]

Your question is a bit unclear, but if you mean which lines are parallel to this one then I have an answer.

1/2*4=2 so this line would be y=2 which means it is a horizontal line. Therefore, any other horizontal line would be parallel to it. So just pick a value for Y to equal and that will be your answer.
ie. y=7

5 0

3 years ago

What is question A and B?

Mrac [35]

Answer:

Jo turned around and walked back to the starting point

8 km/hr

Step-by-step explanation:

4 km/one-half hr = 8 km/hr

8 0

2 years ago

Read 2 more answers

Translate to an inequality: *use h to represent the height

Schach [20]

So the height (h) of a cumulus cloud is at least (>) 2100 feet (2100 feet)

h>2100
at least means the least it can be is 2100 feet, and it can go more

6 0

3 years ago

Read 2 more answers