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2 years ago

Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6. PLS PLS HELP ME

Mathematics

1 answer:

Sonja [21]2 years ago

7 0

X + y + 6 = 5
x - y + 18 = 9

2x + 24 = 14 minus 24
2x = -10 divided by 2
x = -5

-5 + y + 6 = 5
y = 4

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$\boxed{\boxed{\pink{\bf \leadsto It \ will \ take \ 5 hours \ to \ travel \ 300 \ miles. }}}$

<h3>Step-by-step explanation:</h3>

According to Question , a plane travels 120 miles in 2 hours. So here we will use unitary method .

$\bf\implies If \ it \ covers \ 120 \ miles \ in \ 2 \ hours \\\\\bf\implies Then \ one \ mile \ will \ be \ covered \ in \ \dfrac{120}{2} hrs \\\\\bf\implies Hence \ 300 \ miles \ will \ be \ covered \ in \ \dfrac{2}{120}\times 300 hrs = \red{5 \ hours }$

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3 years ago

aliyah had $24 to spend on seven pencils. after buying them she had $10. how much did each pencil cost?

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Read 2 more answers

In this exercise, we estimate the rate at which the total personal income is rising in the Richmond-Petersburg, Virginia, metrop

babymother [125]

Answer:

The rate at which the total income is increasing is$1627415600

Step-by-step explanation:

From the given data

Population in the area=P=961400

The rate of increase in population=dP/dt=9200

The Average Income=I=$30593

The rate of increase in Average Income=dI/dt=$1400

Now the total income is given as

Total Income=TI=PI

So the rate of increase of total personal income is given as $\frac{d}{dt}(PI)$

From the product rule of derivatives

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}$

Here

I is the Average Income which is given as $30593

dI/dt is the rate of increase of income which is given as $1400.

P is the population of the area which is given as 961400

dP/dt=9200 is the rate of increase of population which is given as 9200

By substituting the values,

$\frac{d}{dt}(P*I)=I*\frac{dP}{dt}+P*\frac{dI}{dt}\\\frac{d}{dt}(P*I)=30593*9200+961400*1400\\\frac{d}{dt}(P*I)=\$1627415600$

So the rate at which the total income is increasing is$1627415600

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