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3 years ago

Ixl b.5 additive property of length

Mathematics

1 answer:

kiruha [24]3 years ago

8 0

Answer:

The length of segment SU is 16.8 units

Step-by-step explanation:

From the question

T is a point on the line segment SU

That means T divides SU segment into two parts ST and TU

SU = ST + TU

Let us use this equation to solve the question

∵ The length of ST is 10.6 units

∵ The length of TU is 6.2 units

→ Substitute them in the equation above

∴ SU = 10.6 + 6.2

∵ .6 + .2 = .8

∵ 10 + 6 = 16

∴ 10.6 + 6.2 = 16.8

∴ SU = 16.8 units

The length of segment SU is 16.8 units

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At 7:00 p.m., there are 1,000 home-team fans and 700 away-team fans at a football game. After 7:00 p.m, 15 home team fans arrive

OleMash [197]

Answer:

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=109:67

Step-by-step explanation:

Initially , total home team fans =1000

and away team fans = 700.

7:00 pm to 8:00 pm = 1 hour = 60 minutes

Given that

Every 10 minutes the number of arrival home team fans is 15.

Then in 1 minutes the number of arrival home team fans is $\frac{15}{10}$

and in 60 minutes the number of arrival home team fans is $\frac{15 \times 60}{10}$

=90

Therefore total home team fans = (90+1000)=1090

Given that

Every 10 minutes 5 fans leave of away team leave.

then in 1 minutes $\frac{5}{10}$ fans leave of away team leave.

and In 60 minutes $\frac{5\times 60}{10}$ =30 fans leave of away team leave.

Since 30 away team fans leave.

Total away team fans = (700-30)=670

Therefore the ratio of home-team fan to away team fan at 8:00 p.m is

=1090:670

=109:67

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3 years ago

Find the common ratio of the sequence. 2, -10, 50, -250, ...

ludmilkaskok [199]

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3 years ago

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Eva8 [605]

Step-by-step explanation:

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3 years ago

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olya-2409 [2.1K]

Answer:

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Step-by-step explanation:

If two equations are given, we can solve one of the equation in terms of single variable and put it in the other equation which will further give the value of x and y.

For the given equations:

$8x-5y=21$ Equation:1

$2x+9y=-5$ Equation:2

Solving equation multiply equation 2 with 4 on both the sides

$8x+36y=-20$ Equation 3

Subtracting Equation:3 from Equation:1

$8x-5y-(8x+36y)=21-(-20)\\8x-5y-8x-36y=21+20\\-41y=41\\y=-1$

Putting value of 'y' in Equation:2 which will give the value of x

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