All categories

3 years ago

The sum of two segments are 75 cm, and one the segments are four times the other. Calculate the measurement of each segment

Mathematics

1 answer:

iVinArrow [24]3 years ago

8 0

The length of one segment is 15 cm and other segment is 60 cm

Step-by-step explanation:

Let x be the length of one segment and y be the length of other segment

Then according to given statement

x+y=75 Eqn 1

And

one the segments are four times the other

x=4y Eqn 2

$Putting\ x=4y\ in\ equation\ 1$

$4y+y=75\\5y=75\\Dividing\ both\ sides\ by\ 5\\\frac{5y}{5}=\frac{75}{5}\\y=15\\Putting\ y=15\ in\ eqn\ 2\\x=4(15)\\x=60$

Hence,

The length of one segment is 15 cm and other segment is 60 cm

Keywords: Linear Equation, Variables

Learn more about linear equations at:

#LearnwithBrainly

You might be interested in

he temperature at noon on a winter day was 2 °F. By 6 p.m., the temperature had dropped to −9 °F. Write a subtraction expression

nydimaria [60]

Based on the starting temperature and the new temperature, the relevant expression would be 2 - (-9)

To find the number of degrees the temperature has changed by, use the following equation:

= Starting temperature - Current temperature

Starting temperature = 2°F

Current temperature = -9°F

The equation becomes:

= 2 - (-9)

In conclusion, the expression would be 2 - (-9)

Find out more on expressions at brainly.com/question/945593.

5 0

2 years ago

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

$y = 9.3$ --- approximated

8 0

3 years ago

How to solve −3/4n≤3.

mars1129 [50]

Answer:

n ≥ -4

Step-by-step explanation:

-3/4n ≤ 3

-4/3(-3/4n) ≤ 3(-4/3)

n ≥ -12/3

n ≥ -4

CHECK:

correct

-3/4(-4) ≤ 3

12/4 ≤ 3

3 = 3

correct

-3/4(5) ≤ 3

-15/4 ≤ 3

-3.75 < 3

incorrect

-3/4(1) ≤ 3

-3/4 is not ≤ 3

6 0

3 years ago

Plz I need helpppp!!!!

allochka39001 [22]

Answer:

Just Guess

Step-by-step explanation:

You Have More Than One Try... Thats What I Do With Multiple Awnsers

3 0

3 years ago

Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x)

Inessa [10]

Given :

Everyday Isabel swims 10-20 laps in a 50 meter pool.

The amount of time she spends swimming is represented by the function f(x) = 3x .

To Find :

The speed of Isabel.

Solution :

Distance travelled in x laps is, D = 50x .

It is given that time taken is, t = 3x .

So, speed of Isabel is given as :

$Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s$

Hence, this is the required solution.

6 0

3 years ago