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2 years ago

Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b

Mathematics

1 answer:

LiRa [457]2 years ago

7 0

Answer:

Percentage

Step-by-step explanation:

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An aircraft costs $2954 dollars per hour to operate. The algebraic expression 2954t gives the total cost to operate the aircraft

sdas [7]

10,634.4 total cost

2954t t=3.6h. 2954 x 3.6 = 10,634.4 total cost

6 0

2 years ago

The length of a rectangle is three times its breadth if the breadth is decreased by 2 m and breadth increased by 4 m the area of

White raven [17]

Answer:

Let the breadth is x, then the length is 3x.

The area is:

A = lw = 3x*x = 3x²

The breadth is decreased by 2 m:

w = x - 2

The length is increased by 4m:

l = 3x + 4

The area is now:

(x - 2)(3x + 4) = 3x² - 1/3(3x²)
3x² + 4x - 6x - 8 = 2x²
x² - 2x - 8 = 0
x² - 2x + 1 = 9
(x - 1)² = 3²
x - 1 = 3
x = 4

The breadth was 4 m and the length 12 m

8 0

1 year ago

For what values of x does 25 Superscript x Baseline = 5 Superscript x squared minus 3?

umka2103 [35]

For this case we have the following equation:

$25^{x} = 5^{ x^2-3}$

Rewriting we have:

$5^{2 (x)} = 5^{ x^ 2-3}\\5^{ 2x} = 5^{ x^ 2-3}$

For expressions to be equal, exponents must be equal. So:

$2x = x ^ 2-3\\x ^ 2-2x-3 = 0$

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

$(x-3) (x + 1) = 0$

Thus, the roots are:

$x_ {1} = 3\\x_ {2} = - 1$

Answer:

$x_ {1} = 3\\x_ {2} = - 1$

8 0

2 years ago

Please help me with this

Rainbow [258]

It would be C because that is the one that make the most sense

7 0

1 year ago

Solve for a: a(a-3) =100

marissa [1.9K]

$a(a-3) =100\\
a^2-3a-100=0\\
\Delta=(-3)^2-4\cdot1\cdot(-100)=9+400=409\\
\sqrt{\Delta}=\sqr{409}\\
a_1=\dfrac{-(-3)-\sqrt{409}}{2\cdot1}=\dfrac{3-\sqrt{409}}{2}\\
a_2=\dfrac{-(-3)+\sqrt{409}}{2\cdot1}=\dfrac{3+\sqrt{409}}{2}$

5 0

2 years ago