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aksik [14]
3 years ago
13

I need to know the answer please , thank you !

Mathematics
1 answer:
n200080 [17]3 years ago
3 0
The answer is D your welcome
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A man walks for x hours at a speed of
alexandr1967 [171]

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

Speed=\dfrac{Distance}{Time}

Speed\times Time=Distance

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

D_1=(x+1)(x) km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

D_2=(2x+5)(x-1) km

Now,

Total distance = 90 km

D_1+D_2=90

(x+1)x+(2x+5)(x-1)=90

x^2+x+2x^2-2x+5x-5-90=0

3x^2+4x-95=0

3x^2+19x-15x-95=0

x(3x+19)-5(3x+19)=0

(3x+19)(x-5)=0

3x+19=0\text{ and }x-5=0

x=\dfrac{-19}{3}\text{ and }x=5

Time cannot be negative. So, the only possible value of x is 5.

3 0
2 years ago
Are y = 6x + 9 and 27x – 3y = –81 parallel
jonny [76]
Nope, those lines are not parallel.
8 0
3 years ago
Given that the population density of Georgia is 170 people per square mile and 10,100,000 people live in Georgia, what is the ar
WINSTONCH [101]

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

Number of people living in Georgia = 10,100,000

Number of people living in per square mile = 170

So, we need to find the area of the state :

So, Area of the state is given by

\frac{\text{Total Population}}{\text{ Number of people per square mile }}\\\\=\frac{10100000}{170}\\\\=59411.76\\\\=59400(\text{ nearest hundred }mi^2)

Hence, Option 'D' is correct.

7 0
3 years ago
Read 2 more answers
Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.
sveta [45]

Answer:

You will be paying $41.30 in total.

Step-by-step explanation:

The cost of the meal is $35 and you want to leave 18% tip on the meal.

We want to find the total amount that will be paid.

First, we have to find 18% of $35 and then, add it to the original bill ($35).

18% of 35 is:

18/100 * 35 = $6.30

The tip is $6.30, therefore, the total amount paid will be:

$35 + $6.30 = $41.30

You will be paying $41.30 in total.

6 0
3 years ago
One end of a ramp is raised to the back of a truck 1 meter
Bogdan [553]

Answer:

26.6°

Step-by-step explanation:

8 0
3 years ago
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