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kobusy [5.1K]
4 years ago
7

The width of a rectangle is 3 less than twice the length ,x. if the area of the rectangle is 43 square feet,

Mathematics
1 answer:
mart [117]4 years ago
4 0
W = 2L - 3

43 = L × ( 2L - 3 )
43 = 2L^2 - 3L
2L^2 - 3L - 43 = 0
L = 5.447 , L = - 3.9471

w = 2(5.447) - 3
w = 7.894

i am a mathematics teacher. if anything to ask please pm me
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A store has two different sizes of ice cream the smaller container cost 3.87 for 48 ounces the larger container cost 6.42 which
elena-14-01-66 [18.8K]

Consider the complete question is "A store has two different sizes of ice cream on sale this week. The smaller container costs $3.87 for 48 ounces. The larger container costs $6.42 for 128 ounces. which ice cream costs less per ounce?"

Given:

The smaller container costs $3.87 for 48 ounces.

The larger container costs $6.42 for 128 ounces.

To find:

Which ice cream costs less per ounce?

Solution:

We know that

\text{Cost per ounce}=\dfrac{\text{Total cost}}{\text{Number of ounces}}

Using this formula, we get

Per ounce cost of small container =\dfrac{3.87}{48}

                                                         =0.080625

                                                         \approx 0.08

Per ounce cost of larger container =\dfrac{6.42}{128}

                                                         =0.05015625

                                                         \approx 0.05

Since, 0.08 > 0.05 therefore, the per ounce cost of larger container is less.

5 0
3 years ago
If the endpoints of the diameter of a circle are (10, 12) and (0, 2), what is the standard form equation of the circle? A) (x +
attashe74 [19]
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(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50      note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c
8 0
4 years ago
Read 2 more answers
What is the probability of drawing the compliment of a king or a
inna [77]

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

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<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

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The solutions are
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