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2 years ago

6

Kita's phone had a fully charged battery. With normal usage her phone will last 18 hours. How much time is left on Kita's phone

battery with 12% charge remaining?

1 answer:

oksano4ka [1.4K]2 years ago

3 0

Answer: 2.16 hours

?/18=12%/100

18x12%=218%

218%÷100=2.18 hours

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Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).

JulijaS [17]

Part A: Option e: $5(9 x+1)$

Option f: $45 x+5$

Part B: Option c: $15(3 x+1)$

Option d: $(5 \cdot 9 x)+(5 \cdot 3)$

Part C: Option a: $(5 \cdot 9 x)-(5 \cdot 3)$

Option b: $45 x-15$

Explanation:

Part A: The equation is $(5 \cdot 9 x)+(5 \cdot 1)$

Simplifying, we have,

$45x+5$

Taking the term 5 common out, we have,

$5(9 x+1)$

Thus, the above two expressions are equivalent to the equation $(5 \cdot 9 x)+(5 \cdot 1)$ .

Hence, Option e and Option f are the correct answers.

Part B: The equation is $45 x+15$

Taking the term 15 common out, we have,

$15(3 x+1)$

Also, the equation can be rewritten as,

$(5 \cdot 9 x)+(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $45 x+15$

Hence, Option c and Option d are the correct answers.

Part C: The equation is $15(3 x-1)$

Multiplying, we have,

$45 x-15$

The above expression can be rewritten as,

$(5 \cdot 9 x)-(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $15(3 x-1)$

Hence, Option a and Option b are the correct answers.

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the price of a pack of gum today is 63 cents. this is 3 cents more than three times the price ten years ago. what was the price

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The answer would be .43

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1 year ago

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This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s

serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations and solve for the coefficients a and b as follow:

from x=0 and y=-3 a*0 + b* 0 + c = - 3

c = -3

from x=1 and y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b = -1

so the quadratic equation has a= 0.25 b= -1 c= -3

we can even plug the any of the other values for x given in the table and check the answer.

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A square has an area of 50 square feet what is the perimeter of the square rounded to the nearest foot

dezoksy [38]

Answer:

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area of a square = side times side; the sides are equal

50 = side times side or 50 = side^2

sqroot of 50 = sqroot of side^2

7 feet is about the size of the side of the square so using that information..

2 length + 2 width or 4 side

4 times 7 = 28

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BigorU [14]

we have the following system of equations

$x + y = 0\\x - y + 2 = 0$

we know that

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using a graph tool

see the attached figure

the solution is the point $(-1,1)$

therefore

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the solution of the system of equations is the point $(-1,1)$

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