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valina [46]
4 years ago
13

The amount of data left on a cell phone plan is 6gb after 8 Days 1.5 GB of the data is used each day how much data is available

at the beginning of the cycle
Mathematics
2 answers:
fredd [130]4 years ago
7 0

Answer:

⇒ The data which was available at the beginning of the cycle = 18 GB  

Step-by-step explanation:

Amount of data used each day = 1.5 GB

Also, The amount of data left after 8 days usage = 6 GB

So, The amount of data used in 8 days = 8 × 1.5

⇒ The amount of data used in 8 days = 12 GB

And the amount now left for usage = 6 GB

And we need to calculate the data which was available at the beginning of the cycle

⇒ The data which was available at the beginning of the cycle = Data used in 8 days + Data left for usage after 8 days

⇒ The data which was available at the beginning of the cycle = 12 + 6

⇒ The data which was available at the beginning of the cycle = 18 GB

Scorpion4ik [409]4 years ago
6 0
This problem can be solved by writing a conditional equation.
(8*1.5)+6= d
12+6= d
d= 18GB
Check- 18-12= 6GB
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A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25
vesna_86 [32]

Answer:  244.95 feet

Step-by-step explanation:

This scenario forms the shape of a right angled triangle with the shadow length being the triangle's length and the distance between the end of the shadow to the top of the building being the hypotenuse.

Use Pythagorean theorem:

c² = a² + b²

250² = 50² + b²

62,500 = 2,500 + b²

b²= 62,500 - 2,500

b² = 60,000

b = √60,000

b= 244.95 feet

4 0
3 years ago
Find the value of each variable<br>A. x=38,y=76<br>B. x=52,y=76<br>C. x=38,y=104<br>D. x=52,y=104
bearhunter [10]

The 2x and 76 are opposite angles so they are equal.

2x = 76

x = 38 degrees

y and 76  are adjacent angles so y = 180 - 76

= 104 degrees

4 0
3 years ago
What is the line of semmetry for the parabola whose equation is y =x^2 +10x=25
frozen [14]

Answer:

x = -5

Step-by-step explanation:

The equation y = x^2+10x+25  can be factored to (x+5)^2

when (x+5)^2 = 0

x = -5

meaning the equation has a line of symmetry at x = -5

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3 years ago
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erastovalidia [21]

Answer:

Step-by-step explanation:

TYSM

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5 0
3 years ago
Mathematics 13 don’t understand
UNO [17]

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  \dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}

_____

<em>Additional comment</em>

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  (x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6

Consider division:

  \dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

6 0
3 years ago
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