Can someone help me solve a math problem

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

love history [14]

Answer:(x,y) x+5,y-3)

Step-by-step explanation: tea

3 0

3 years ago

You are running a fuel economy study. One of the cars you find is blue. It can travel 44 and one half miles on 1 and one fourth

Radda [10]

Unit rate of blue car is 35.6 miles/gallon and unit rate of red car is 36 miles/gallon. The red car could travel the greater distance on 1 gallon of gasoline.

<u><em>Explanation</em></u>

Unit rate for each car can be calculated using the below formula...

Unit rate = (Distance traveled) / (Amount of gasoline)

For Blue car, distance traveled $=44\frac{1}{2} = \frac{89}{2} miles$ and amount of gasoline $=1 \frac{1}{4}= \frac{5}{4} gallons$

So, the unit rate for blue car = $\frac{89}{2}$ ÷ $\frac{5}{4}$ = $\frac{89}{2}$ × $\frac{4}{5}$ = $\frac{356}{10} = 35.6$ miles/gallon

Now for Red car, distance traveled $= 28\frac{4}{5} = \frac{144}{5} miles$ and amount of gasoline $= \frac{4}{5} gallons$

So, the unit rate for red car = $\frac{144}{5}$ ÷ $\frac{4}{5}$ = $\frac{144}{5}$ × $\frac{5}{4}$ = $\frac{144}{4} = 36$ miles/gallon

As the unit rate for red car is greater than the blue car, that means the Red car could travel the greater distance on 1 gallon of gasoline.

7 0

3 years ago

What is the next fraction in the sequence? Simplify your answer. 3/4, 5/8, 1/2, 3/8,

erma4kov [3.2K]

Answer: 2/8.

Step-by-step explanation:

When we have this type of problem, the usual way to solve them is trying with known types of sequences.

I will start with the arithmetic sequence, where the difference between any two consecutive terms is a constant. And if we call this difference as D, we will have the recursive relation:

Aₙ = Aₙ₋₁ + D

To check if this sequence is an arithmetic sequence, we can take the first two terms and see the difference:

(5/8 - 3/4) = (5/8 - 6/8) = -1/8.

Now let's do the same, but with the second and third terms:

(1/2 - 5/8) = (4/8 - 5/8) = -1/8

The difference is the same, -1/8.

Now we can use the recursive relationship above and the last given term of the sequence to find the next one:

A₅ = A₄ + (-1/8)

A₅ = 3/8 - 1/8 = 2/8

Then the next fraction in the sequence was 2/8.

8 0

3 years ago

Acellus

REY [17]

Answer:

The probability that a randomly selected point within the circle falls in the red shaded area is p=0.75.

Step-by-step explanation:

We have to calculate the probability that a randomly selected point within the circle falls in the red shaded area.

This probability can be calculated as the quotient between the red shaded area, that is a regular pentagon inscribed in the circle, and the area of the circle.

We start by calculating the area of the circle:

$A_c=\pi r^2\approx 3.14(4)^2=3.14\cdot 16=50.24$