Convert the following repeating decimal into a fraction. *
0.497

Answer:

25

Step-by-step explanation:

the ratio is 4:5

20/4=5

so multiply 5 by 5 and you will get 25

on the number line jump to where it shows the very end where 20 is and at the bottom it is 25

hope that helps

Answer:

the interest rate on this investment k = 0.05 or 5%

Step-by-step explanation:

Given that;

dp/dt = kp

dp/p = k dt

now we integrate on both sides

integral dp/p = integral k dt

ln p = kt + c

p =e^kt + c

p = ce^kt

Given that p = $180,000 is invested (when t = 0)

p = ce^kt

we substitute

180000 = ce^k×0

180000 = ce^0

180000 = c × 1

c = 180,000

we substitute the value in the equation

p = 180000e^kt

now given that the amount in the account after 17 years is $421,136

i.e at t = 17 and p = 421,136

we substitute

421,136 = 180000e^17k

divide both sides by 180000

421136/180000 = 180000e^17k / 180000

e^17k = 2.3396

17k = In(2.3396)

17k = 0.8499

k = 0.04999 ≈ 0.05

therefore the interest rate on this investment k = 0.05 or 5%

Answer:

See Explanation

Step-by-step explanation:

Class size = 200 - 150 = 50

Class mark = (150 + 200)/2 = 350/2 = 175

Lowe limit = 150

Upper limit = 200

Answer:

-5

Step-by-step explanation:

The equation given is written in slope-intercept form (y = mx + b). In this form, 'm' represents the slope of a line and 'b' represents the y-intercept of the line. Since the equation asks for the slope, we can simply look at the value of 'm' in the equation. Then, we will find the slope.

slope - intercept form

y = mx + b

given equation

-y = -5x + 9

values

m = slope = -5

b = y-intercept = 9

Answer:

B

Step-by-step explanation:

When you are finding the solution of two lines on a graph, you look at the intersection point and that is the answer. On the given graph, both lines intersect at (4, -3). Thus, that is the solution.

Best of Luck!

Answer: 6600

Step-by-step explanation:

To find the original price, first we need to answer, \$\greenD{1.54}$1.54dollar sign, start color #1fab54, 1, point, 54, end color #1fab54 is \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent of what number?

Hint #22 / 5

Percent means per hundred, so \blueD{5.5}\%5.5%start color #11accd, 5, point, 5, end color #11accd, percent is equivalent to \blueD{\dfrac{5.5}{100}}

100

5.5

​

start color #11accd, start fraction, 5, point, 5, divided by, 100, end fraction, end color #11accd which is also equal to \blueD{5.5\div 100}5.5÷100start color #11accd, 5, point, 5, divided by, 100, end color #11accd.

\blueD{5.5 \div 100 = 0.055}5.5÷100=0.055start color #11accd, 5, point, 5, divided by, 100, equals, 0, point, 055, end color #11accd

Hint #33 / 5

To find the original price, we need to know \blueD{0.055}0.055start color #11accd, 0, point, 055, end color #11accd times what number equals \greenD{1.54}1.54start color #1fab54, 1, point, 54, end color #1fab54.

\blueD{0.055} \maroonD{x} = \greenD{\$1.54}0.055x=$1.54start color #11accd, 0, point, 055, end color #11accd, start color #ca337c, x, end color #ca337c, equals, start color #1fab54, dollar sign, 1, point, 54, end color #1fab54

Hint #44 / 5

\begin{aligned} \blueD{0.055} \maroonD{x} &= \greenD{\$1.54} \\\\ \dfrac{\blueD{0.055} \maroonD{x}}{\blueD{0.055}} &= \dfrac{\greenD{\$1.54}}{\blueD{0.055}} \\\\ \maroonD{x} &= \maroonD{28} \end{aligned}

0.055x

0.055

0.055x

​

x

​

=$1.54

=

0.055

$1.54

​

=6600

Answer:

Answer:

The answer is 21

Step-by-step explanation:

Answer:

It's 4 I hope this helped.

If I subtracted 2 from 6 in Equation B. I would get 4. Putting 4 to replace the x in Equation A, it makes the equation make sense.

Step-by-step explanation:

3 ( 4 + 2 ) = 18

4 + 2 = 6

this is you're answer please thanks me

Answer:

25 units (cant see what it says on the side :/ ) per hour

Step-by-step explanation:

hope this helps <3

Answer:

Pentagonal Pyrimid

Step-by-step explanation:

Answer: gta wasted

Step-by-step explanation: your dad left for milk

Answer:

w > -3

y - 1/2 ≤ -3/2

Answer:

c is the correct answer

Step-by-step explanation:

Answer:

Correct Answer is B

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (−3,−10)

Focus: (−3,−[tex]\frac{39}{4}[/tex])

Axis of Symmetry: x = −3

Directrix: y = −[tex]\frac{41}{4}[/tex]

x               y

-5             -6

-4             -9

-3            -10

-2             -9

-1              -6

Answer:

A

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Not exactly correct.

y=mx+b Slope is m and y intercept is b.

So, here count the units for the slope. it goes barley to the 7th box. Now, count the units for the y intercept. It goes to the fourth box.

Thus, your equation is y=7x+4

[tex]\underline{Hope\;it\;helps\;out!}[/tex]

Answer:

              cvfgrtyukjmn

Step-by-step explanation:

Answer:

1. 400 ÷ 4 = 100

2. 320 ÷ 4 = 80

3. 360 ÷ 9 = 40

4. 5000 ÷ 5 = 1000

5. 3000 ÷ 5 = 600

Answer:

1:100

2:80

3:40

4:1000

5:600

Step-by-step explanation:

Answer:

5 pennies

3 dimes

Step-by-step explanation:

Answer:

3 dimes and 5 pennies

Step-by-step explanation:

Dimes can only add up to 10s so, it would have to be 3 dimes. Pennies can only add one at a time. So the answer for pennies would be 5. And 5+3=8.

Hope this helps!

Answer:

x = 100

Step-by-step explanation:

1. To get rid of the denominator of 5, multiply both sides of the equation to get 5

-40 + x = 60

2. Add 40 on both sides to get the variable x by itself

x = 60 + 40

3. Solve

x = 100

Answer:

x=100

Step-by-step explanation:

-8+x/5=12

--8+x/5=12+8

x/5=20

5*20=100

x=100

Answer:

ATP synthase utilizes energy of the proton gradient to attach phosphate group to ADP.

Step-by-step explanation:

Answer:

Dimensions of the box:

x =  1,26  ( the side of the square base )

h = 2,52   the heigh of the cube

Step-by-step explanation:

V(b)  = x² *h      x is the side of the square base, and h the heigh of the cube

The surface area of such cube is:

Area of the base   A(b)  = x²

Lateral area is  4*x*h

A(c) = x²  +  4*x*h

Now   x² * h  = v = 4 m³       ⇒  h = 4/x²   and

A(x)   =  x²   +  4/x

Tacking derivatives on both side of the equation:

A´(x)  =  2*x - 4/x²

A´(x) = 0       2*x  - 4/x²  =  0        ⇒   2*x³  -  4   = 0

x³  = 2

x  = 1,26 m

And  h = 4/(1,26)²        ⇒     h  =  2,52 m

How do we know the value of  x  =  1,26 is for a minimum value of A(x)

We find the second derivative of  A(x)

A´´(x)  =  2  -  (-4*2*x/x⁴)

A´´(x)  =  2  + 8/x³       is positive  A´´(x)  >  0

Then function A(x) has a minimum value at x = 1,26

Answer:

Adélie penguins= 826,680

Step-by-step explanation:

Giving the following information:

Total penguin population= 1,503,054

Adélie penguins= 55%

To calculate the number of Adélie penguins, we need to use the following formula:

Adélie penguins= total penguin polulation*proportion of Adélie penguins

Adélie penguins= 1,503,054*0.55

Adélie penguins= 826,680

Step-by-step explanation:

The correct answer is: Point B.

The easiest way to solve this is to make the fraction, 3/5, to a decimal.

3/5 = 0.6

Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.

Answer:

Step-by-step explanation:

Answer:

90

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

(((95 × 26) - 470)/16) - 35

Step 2: Evaluate

Answer:

Step-by-step explanation:

500×30=15000

Answer:

x=4

Step-by-step explanation:

By SAS we know that

[tex]\triangle ABE \sim \triangle ADC[/tex]

by a ratio of

[tex]1:2[/tex]

so we have

[tex]\frac{BE}{DC}=\frac{1}{2}\\\\2BE=DC\\\\2(x+2)=12\\\\2x+4=12\\\\2x=12-4\\\\2x=8\\\\x=4[/tex]