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3 years ago

Solve using any method. Choose the correct ordered pair.

Mathematics

2 answers:

lesya692 [45]3 years ago

7 0

Answer:

Step-by-step explanation:

-2 + 7 = 5

Julli [10]3 years ago

7 0

The correct answer would be C because -2 +7 = 5

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How many square meters are there in a floor that is 9 meters long by 14 meters wide?

antoniya [11.8K]

Answer:

126 sq. meters

Step-by-step explanation:

A = lw

= 9(14)

= 126 sq. meter

7 0

1 year ago

Oil is pumped continuously from a well at a rate proportional to the amount of oil left in the well. Initially there were millio

JulijaS [17]

Answer:

The amount of oil was decreasing at 69300 barrels, yearly

Step-by-step explanation:

Given

$Initial =1\ million$

$6\ years\ later = 500,000$

Required

At what rate did oil decrease when 600000 barrels remain

To do this, we make use of the following notations

t = Time

A = Amount left in the well

So:

$\frac{dA}{dt} = kA$

Where k represents the constant of proportionality

$\frac{dA}{dt} = kA$

Multiply both sides by dt/A

$\frac{dA}{dt} * \frac{dt}{A} = kA * \frac{dt}{A}$

$\frac{dA}{A} = k\ dt$

Integrate both sides

$\int\ {\frac{dA}{A} = \int\ {k\ dt}$

$ln\ A = kt + lnC$

Make A, the subject

$A = Ce^{kt}$

$t = 0\ when\ A =1\ million$ i.e. At initial

So, we have:

$A = Ce^{kt}$

$1000000 = Ce^{k*0}$

$1000000 = Ce^{0}$

$1000000 = C*1$

$1000000 = C$

$C =1000000$

Substitute $C =1000000$ in $A = Ce^{kt}$

$A = 1000000e^{kt}$

To solve for k;

$6\ years\ later = 500,000$

i.e.

$t = 6\ A = 500000$

So:

$500000= 1000000e^{k*6}$

Divide both sides by 1000000

$0.5= e^{k*6}$

Take natural logarithm (ln) of both sides

$ln(0.5) = ln(e^{k*6})$

$ln(0.5) = k*6$

Solve for k

$k = \frac{ln(0.5)}{6}$

$k = \frac{-0.693}{6}$

$k = -0.1155$

Recall that:

$\frac{dA}{dt} = kA$

Where

$\frac{dA}{dt}$ = Rate

So, when

$A = 600000$

The rate is:

$\frac{dA}{dt} = -0.1155 * 600000$

$\frac{dA}{dt} = -69300$

Hence, the amount of oil was decreasing at 69300 barrels, yearly

7 0

2 years ago

in class of 24 students, 13 students sold over 150 raffle tikets each, and the rest of the class sold about 60 tikets each. the

dezoksy [38]

To find the answer we have to calculate total tickets.
We know that 13 students sold 150 tickets and rest sold 60 each.
First I want to find ticket sold by 13 student, so
13*150=1950
Rest of class is 24-13=11
Ticket sold by rest of class is
11*60=660
Total sold ticket is
1950+660=2610 they rich their goal

8 0

3 years ago

Read 2 more answers

Can you add these fractions.

gladu [14]

5= 43/30= 1.43= 1 43/100
6= 91/60= 1.52= 1 52/100
7= 59/30= 2
8= 19/15= 1.3
9= 6/5=1.2
10=97/60=1.616

5 0

3 years ago

Solve the following equation for x 5x-30y=-35.

Alex17521 [72]

5x-30y=-35

Divide both the side by 5 and we get