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3 years ago

5

How do you do simultaneous equations by the method or substitution?

1 answer:

ozzi3 years ago

5 0

Answer:

Here's the simplest example possible: let's say x + y = 3 and x - y = 1. Solve the second equation for x by adding y to both sides: (x - y) + y = 1 + y. So x = 1 + y. Take that value of x, and substitute it into the first equation given above (x + y = 3).

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1. A soccer field has an area (A = LW) that is represented by the polynomial 1 point

matrenka [14]

Answer:

$(x + 6)(x - 6)$

Step-by-step explanation:

Given

See attachment for soccer field

Required

The possible dimension of the field

From the attachment, we have:

$Area = x^2 - 36$

$Length = x +a$

$Width = x + b$

So, we have:

$Length * Width = Area$

This gives:

$(x + a)(x + b) = x^2 - 36$

Express 36 as 6^2

$(x + a)(x + b) = x^2 - 6^2$

Express as difference of two squares

$(x + a)(x + b) = (x + 6)(x - 6)$

Hence, the dimension is: $(x + 6)(x - 6)$

6 0

3 years ago

What 7.9% written as a decimal

eduard

The answer is 0.079

*Remove percent sign
*Move decimal back 2 times

7 0

3 years ago

What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20

kari74 [83]

Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = $\dfrac{2000}{7}\times 365=104285$

12 years = $104285\times 12=1251420\ minutes$

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = $\dfrac{3000}{7}\times 365=156428$

16 years = $156428\times 16=2502857$ minutes

So, the predicted difference in sleep between individuals A and B is given by

$2502857-1251420\\\\=1251437\ minutes$

Hence, the predicted difference in sleep is 1251437 minutes.

7 0

3 years ago

alexira [117]

Check the picture below.

7 0

3 years ago

Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B

gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0

2 years ago