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3 years ago

Solve the following inequality: 2. 4x + 6 < 38

Mathematics

1 answer:

seraphim [82]3 years ago

5 0

Answer- x<8

Solutions

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

4*x+6-(38)<0

Step by step solution :

STEP

Pulling out like terms

1.1 Pull out like factors :

4x - 32 = 4 • (x - 8)

Equation at the end of step

STEP

2.1 Divide both sides by 4

Solve Basic Inequality :

2.2 Add 8 to both sides

x < 8

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Two cars left the city for a suburb, 480 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the

Alex_Xolod [135]

The speed of both the cars are 80km/h and 60km/h

Step-by-step explanation:

Let the speed of one car be 'a' and the speed of other car be 'b'.

The total distance (d) = 480km

It is given that the speed of one car is 20km/h faster than the other.

We can write,

a = b+20

The slower car takes 2 hrs more to reach the suburb than the other car.

Let the time taken by the fastest car be t

Speed = distance/time

So,

a = 480/ t

b = 480/(t+2)

We got the values of a and b.

a = b+20

480/t = (480/(t+2)) + 20

Taking LCM on the right side.

480/t = (480 + 20t + 40) / (t+2)

480(t+2) = (480+20t+40) t

480t + 960 = 480t + 20t(t) + 40t

20t(t) + 40t - 960 = 0

Divide the whole equation by 20 to simplify the equation.

t(t) + 2t - 48 = 0

Solve the quadratic equation by splitting the middle terms.

t(t) + 8t - 6t - 48 = 0

t(t + 8) - 6(t + 8) = 0

(t- 6) (t+8) =0

t = 6 (or) -8

t is time and cannot be negative. So t= 6hrs

a = 480/t

a = 480/ 6 = 80

the speed of the fastest car is 80km/hr

a = b + 20

b = a - 20

b = 80 - 20

b = 60km/h

4 0

3 years ago

Question 3

Yuliya22 [10]

Answer:

Median and Mode.

Step-by-step explanation:

The data could be represented in table form in ascending order as:

Number of meals Frequency

2 2

3 3

4 2

19 1`

On the basis of the data now we find the mean, median and mode:

Mean= average of the data

Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5

Hence mean is 5.

Median is the central tendency of the data

on looking at our data we see that the Median=3.

also the mode of the data is the entry corresponding to the highest entry.

Hence the highest frequency is 3 and the corresponding value is 3.

Hence, Mode=3

Hence, the most appropriate measure of center for this situation is :

Median and Mode.

4 0

3 years ago

What is the area of a circle with a diameter of 15.8 cm?

pochemuha

Multiply 15.8 by 3.14 and u have ur awnser

5 0

3 years ago

X:y=5:3 and x+y=56 work out the value of x-y

Vladimir79 [104]

x - y = 14

given the ratio x : y = 5 : 3

then let x = 5x and y = 3x, hence equation can be expressed as

5x + 3x = 56

8x = 56 ( divide both sides by 8 )

x = 7

Hence x = 5 × 7 = 35 and y = 3 × 7 = 21

Thus x - y = 35 - 21 = 14

6 0

3 years ago

Please someone help me! asap!!

kramer

Answer:

Last option= 30 minutes

6 0

3 years ago