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3 years ago

2/5;0.5 tell whether each pair shows equivalent number

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

2/5= 40%, so no, they are not equivalent numbers,<span />

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Raul is saving up to buy a used motorcycle for $700. He can save $50 per month. How

Margarita [4]

14 months.

$50 x 14months = $700

8 0

3 years ago

Trying to help my sister with her homework can some help with #2. Please and thank you so much!

pogonyaev

0.93m= 93 cm

15mm= 1.5 cm

7.5 cm

93x1.5x7.5=1046.25 cm3

7 0

2 years ago

there are 30 students in mr. Holland music class. If 30% of the students play in the school band, how many students in the class

MA_775_DIABLO [31]

9 students 30% ends up being .3%, multiply .3% by 30 students which equals 9.

3 0

3 years ago

Read 2 more answers

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:

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

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

<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>

7 0

2 years ago

Choose 1 answer:

Paladinen [302]

Answer:

B complementary angles

Step-by-step explanation:

ED is a line.

Angles EAB and DAB are a linear pair, so they are supplementary.

Angle EAB is a right angle, so angle DAB is also a right angle.

The measure of angle DAB is 90 degrees.

The sum of the measures of angles a and b is 90 degrees.

That makes <a and <b complementary angles.

6 0

3 years ago

Read 2 more answers