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e-lub [12.9K]
2 years ago
14

Find the value of x.

Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

...

Step-by-step explanation:

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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
Tim has
Eduardwww [97]

Answer:

if there is 39 music players and 13 headphones, 13 identical packages

Step-by-step explanation:

4 0
3 years ago
- 7/9 • 5/7 <br> And subscribed to my YouTube alyha_diys
MAVERICK [17]

-5/9 and sure thing alyha_diys

3 0
3 years ago
Read 2 more answers
So it says change the following fractions and mixed numbers to decimal numbers
puteri [66]

Answer:

2.16666666667 or rounded to 2.17

Step-by-step explanation:

first you have to change the mixed number to an improper fraction which would be 13/6 and then divide the numerator by the denominator

6 0
3 years ago
In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
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