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almond37 [142]
4 years ago
5

Gina saves quarters. She has $17.75 in quarters. How many quarters does she have? Show your solution in two ways. Use division t

o show one way. Use words, nnumbers, or models for the second way.
Mathematics
1 answer:
Bad White [126]4 years ago
6 0
Gina wants to know how many quarters she has if she has seventeen dollars and seventy-five (17.75)cents in all quarters. To find he number of quarters, you need to divid seventeen dollars and seventy-five cents (17.75) by twenty five cents (0.25) to get her answer.

17.75/0.25=71
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The number of passengers using a railway fell from 190,205 to 174,989 during a 5-year period. Find the annual percentage decreas
lakkis [162]

Answer:

1.65%

Step-by-step explanation:

We will assume the percentage was the same over the 5 years. The number of passengers using a railway is expressed by the formula

                           P(t)  = P_{o}(1 - r)^{t}

Where

P(t) is the number of passengers after 5 years

                  P(t) = 174,989

P₀ is the number of the passengers at the beginning of the period

                 P₀ = 190,205

r is the rate in percentage    r  = ?

t is time duration    t = 5 years

Substituting these given values into the formula,

                 174,989 = 190,205(1 - r)^{5}

                 (1 - r)^{5} = \frac {174,989}{190,205}

                 1 - r = \sqrt[5]{ \frac {174,989}{190,205}}

                 1 - r = \sqrt[5]{0.920}

                 1 - r = 0.9835

                 r = 1 - 0.9835

                 r = 0.0165

                r = 1.65%

The annual percentage decrease over the period of 5 years is 1.65%

5 0
3 years ago
Find the value of x number on top is 6 and other is 9
faltersainse [42]

Answer:

x = - 12, 3

Step-by-step explanation:

By tangent secant theorem:

x(x + 9) =  {6}^{2}  \\  \\  {x}^{2}  + 9x = 36 \\  \\  {x}^{2}  + 9x - 36 = 0 \\  \\  {x}^{2}  + 12x - 3x - 36 = 0 \\  \\ x(x + 12) - 3(x + 12) = 0 \\  \\ (x + 12)(x - 3) = 0 \\  \\ x + 12 = 0, \:  \: x - 3 = 0 \\  \\ x =  - 12, \:  \: x = 3 \\  \\

5 0
3 years ago
The scientific notation of 0.00000235 is 23.5 x 10-7
schepotkina [342]

Answer:it’s 10 raised to seven right

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
4x+3y=1 2x+5y=11 solve for x and y
Ann [662]

4x+3y=1 2x+5y=11

We'll need to use system of equations for this one.

4x+3y=1

3y=1-4x

y=-4/3x+1/3

2x+5y=1

5y=1-2x

y=-2x/5+1/5

Set these two equations equal to each other and solve for x.

-2x/5+1/5=-4/3x+1/3

x=1/7

Then plug x in to solve for y.

y=-2(1/7)/5+1/5

y=1/7

8 0
4 years ago
(-1 2/3) to the third power
Drupady [299]

Answer:

-4\dfrac{17}{27}

Step-by-step explanation:

We are asked to calculate the value of -1\dfrac{2}{3} to the third power.

Now, (-1\dfrac{2}{3})^{3}  

= (-\dfrac{5}{3} )^{3}

= (-\dfrac{5}{3} ) \times (-\dfrac{5}{3} )\times (-\dfrac{5}{3} ) { Since we know, a³ = a × a × a }

= -\dfrac{5^{3} }{3^{3} } { Since the product of three negative numbers is also negative }

= -\frac{125}{27}

= -4\dfrac{17}{27} ( Answer )

7 0
3 years ago
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