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2 years ago

If 300% of 0.18 is equivalent to 20% of b, then b is equivalent to what number?

Mathematics

2 answers:

mote1985 [20]2 years ago

5 0

Answer:

b= 27 5 (0.54) regardless makes 2.7 x 100 =27 where 300% of 0.18 =0.54

Step-by-step explanation:

We need a number that is 20% of b and equal to 5.4

To find 0.54 (= 20% )we can use fractions for percentages 20%= 1/5 or 2.70 thereafter as we do not work in decimals if no fraction in mentioned we get b= 26 and 20% of this is 5.2. Then plug in as above where the answer is 5 (0.54) regardless makes 2.7 x 100 =27 where 300% of 0.18 =0.54 but plug in fractions instead.

tatiyna2 years ago

3 0

Answer:

2.7

Step-by-step explanation:

3*0.18=0.54

0.54/0.2=2.7

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A park ranger spent $208 to buy 12 trees.

mixas84 [53]

Let x represent number of redwood trees and y represent number of spruce trees.

We have been given that a park ranger bought 12 trees. We can represent this information in an equation as:

$x+y=12...(1)$

$y=12-x...(1)$

We are also told that redwood trees cost $24 each, so cost of x redwood trees would be $24x$ .

Each spruce tree costs $16, so cost of y spruce trees would be $16y$ .

Since the park ranger spent $208 on trees, so we can represent this information in an equation as:

$24x+16y=208...(2)$

Upon substituting equation (1) in equation (2), we will get:

$24x+16(12-x)=208$

$24x+192-16x=208$

$8x+192=208$

$8x+192-192=208-192$

$8x=16$

$\frac{8x}{8}=\frac{16}{8}$

$x=2$

Therefore, the park ranger bought 2 redwood trees.

Upon substituting $x=2$ in equation (1), we will get:

$y=12-x\Rightarrow 12-2=10$

Therefore, the park ranger bought 10 spruce trees.

3 0

1 year ago

A certain brand of electric bulbs has an average life of 300 hours with a standard deviation of 45. A random sample of 100 bulbs

tigry1 [53]

Answer:

$P(\bar{x}$

Step-by-step explanation:

Average life of electric bulbs = 300 hrs

standard deviation = 45

Total no of bulbs tested = 100

Probability that sample mean is less than 295 =?

Using Central Limit Theorem

$P(\bar{x}$

From table of normal distribution:

$P(\bar{x}$

3 0

1 year ago

Read 2 more answers

Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at

DiKsa [7]

Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.

Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

So the net flow rate of salt, given by $x(t)$ in grams, is governed by the differential equation,

$x'(t)=15-\dfrac{3x(t)}{10}$

which is linear. Move the $x$ term to the right side, then multiply both sides by $e^{3t/10}$ :

$e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}$

$\implies\left(e^{3t/10}x\right)'=15e^{3t/10}$

Integrate both sides, then solve for $x$ :

$e^{3t/10}x=50e^{3t/10}+C$

$\implies x(t)=50+Ce^{-3t/10}$

Since the tank starts with 5 g of salt at time $t=0$ , we have

$5=50+C\implies C=-45$

$\implies\boxed{x(t)=50-45e^{-3t/10}}$

The time it takes for the tank to hold 20 g of salt is $t$ such that

$20=50-45e^{-3t/10}\implies t=\dfrac{20}3\ln\dfrac32\approx2.7031\,\mathrm{min}$

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1 year ago

What is the y-intercept of the function,represented by the table of values below?

Hitman42 [59]

Answer:

Step-by-step explanation:

So the y-intercept is not given by your table because there is no x that is listed as 0.

But don't fret; we can still find it.

Let's see if the function is linear by seeing if we have the same slope per two points in the table.

For the first pair ( the points (-2,16) and (1,4) ), x increased by 3 and the y decreased by 12 so the slope there is -12/3=-4.

Now looking at the next pair ( the points (1,4) and (2,0) ), x increased by 1 while y decreased by 4 so the slope is -4/1=-4.

So the function appears to be linear.

So the slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

We already found the slope from earlier which is m=-4.

So the equation so far is y=-4x+b.

Now to find b, the y-intercept, we need to use a point (x,y) on the line along with y=-4x+b.

Let's see my favorite on the list of points is (2,0).

y=-4x+b with (x,y)=(2,0)

0=-4(2)+b

0=-8+b

8=b

So the y-intercept is 8.

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2 years ago

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elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 Wh

elena55 [62]

Answer:

Option A,$320.98 is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

7 0

1 year ago