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3 years ago

Find the slope. y - x = -5

Mathematics

1 answer:

PolarNik [594]3 years ago

8 0

X-y=5 sunduejchwinche

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Solve the system of equations by the substitution method. y = 5x + 6 y=9x+7.

joja [24]

Answer:

(-1/4, 19/4)

Step-by-step explanation:

5x+6=9x+7

-4x=1

x= -1/4

y=5(-1/4) +6

y=19/4

3 0

3 years ago

four families go to the cinema. the reid family take 2 adults and 2 children for £18 ; the mghee family take 1 senior, 2 adults

RoseWind [281]

Answer:

$\pounds 26.50$

Step-by-step explanation:

Let

x = cost for one adult

y = cost for one child

z = cost for one senior.

The Reid family:

take 2 adults and 2 children and paid $2x+2y$ that is $\pounds 18$ , so

$2x+2y=18$

The Mghee family:

take 1 senior, 2 adults and 1 child and paid $x+2x+y$ that is $\pounds 18.50$ , so

$x+2x+y=18.50$

The Griffiths family:

take 1 senior and 3 adults and paid $z+3x$ that is $\pounds 19.50$ , so

$z+3x=19.50$

You get the system of three equations:

$\left\{\begin{array}{l}2x+2y=18\\ \\z+2x+y=18.50\\ \\z+3x=19.50\end{array}\right.$

From the first equation:

$2y=18-2x\\ \\y=9-x$

From the third equation:

$z=19.50-3x$

Substitute them into the second equation:

$19.50-3x+2x+9-x=18.50\\ \\-3x+2x-x=18.50-19.50-9\\ \\-2x=-10\\ \\2x=10\\ \\x=5$

Then

$y=9-5=4\\ \\z=19.50-3\cdot 5=19.50-15=4.50$

Hence,

the cost for one adult is $\pounds 5$

the cost for one child is $\pounds 4$

the cost for one senior is $\pounds 4.50$

The Linton family takes 1 senior, 2 adults and 3 children and paid

$\pounds 4.50+2\cdot \pounds 5+3\cdot \pounds 4=\pounds 26.50$

3 0

3 years ago

A family purchased a new ski boat for $18,500. The loan agency required a 10% down payment and financed the balance for 36 month

Makovka662 [10]

Answer:

18500+11.4+10%+6.0%=21584.2924

6 0

3 years ago

How to Simplify 6/8

Dmitriy789 [7]

Answer:

3/4

Step-by-step explanation:

in order to simplify divide the numerator and denominator by the greatest Common Factor or both numbers... in this case the numbers are 6 and 8

6: 1,2,3,6

8:1,2,4,8,

as you can see the GCF is 2... so you divide 6 by 2 nd 8 by 2

6/2= 3

8/2=4

since 6 in ur numerator the quotient is 3 so the number 3 goes on the top

3/4

6 0

3 years ago

Read 2 more answers

1)Given the data set (200, 150, 325, 350, 100, 75), Find the mean of the data set.

shutvik [7]

Mean: 200
median: 175
mode: all values only appeared once, so there isn't one
range: 275

The mean would not change at all.

4 0

3 years ago