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2 years ago

Which expression has a value of 50 after simplifying?

Mathematics

1 answer:

labwork [276]2 years ago

4 0

Answer:

Step-by-step explanation:

Use PEMDAS in order to solve

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Please help me with both of these questions.

pav-90 [236]

Answer:

f(x)=5x+2

(3)=5x+2

3=5x+2

=3+2

=5+5x

=10x

4 0

3 years ago

Round 1.0334 to the nearest thousandth

Tanzania [10]

1.033 is the correct answer

4 0

3 years ago

One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost

zalisa [80]

Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
   = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.

5 0

3 years ago

Determine the equation of the circle graphed below.

myrzilka [38]

Answer:

$= > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0$

Step-by-step explanation:

From the graph we can see that

Diameter = 6 units

=> Radius = 3 units and centre is at (-3,7)

=> Equation is Circle with centre (-3,7) and radius of 3 units will be

$= > {(x + 3)}^{2} + {(y - 7)}^{2} = {3}^{2}$

$= > ( {x}^{2} + 6x + 9) + ( {y}^{2} - 14y + 49) = 9$

$= > {x}^{2} + {y}^{2} + 6x - 14y + 49 = 0$

4 0

2 years ago

The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.

iris [78.8K]

Answer:

L(t) = 727.775 -51.875cos(2π(t +11)/365)
705.93 minutes

Step-by-step explanation:

a) The midline of the function is the average of the peak values:

(675.85 +779.60)/2 = 727.725 . . . minutes

The amplitude of the function is half the difference of the peak values:

(779.60 -675.85)/2 = 51.875 . . . minutes

Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.

Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.

Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.

Our formula is ...

L(t) = 727.775 -51.875cos(2π(t +11)/365)

b) L(55) ≈ 705.93 minutes

8 0

3 years ago