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2 years ago

8x + 6y = 10

2 answers:

6 0

It could be D or C
The system has two solutions
x = .8 y = .6

OR if you think about it , (x=.8 y=.6) could be considered THE solution.
I would go with choice C

Nitella [24]2 years ago

5 0

Here, Multiply second equation by 2,
10x - 6y = 4.4

Now, Add both the equations,
18x = 14.4
x = 14.4 / 18
x = 0.8

Substitute it in 2nd equation,
5(0.8) - 3y = 2.2
-3y =2.2 - 4
y = 1.8/3
y = 0.6

Solution of the system of Equation is: (0.8, 0.6)

In short, Your Answer would be Option C

Hope this helps!

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.072 divided by 345.00 and round to the nearest tenth. Thank you!

alexandr402 [8]

0.072 ÷ 345

= $\frac{0.072}{345} = 0.000208695652174$ ≈ 0.00020

3 0

1 year ago

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The volume of a fish tank is given by the function V(x)=(x+7)(x-4)(x+3). Write a function describing a fish tank that has the sa

Aleksandr [31]

Answer:

V(x)=(x+9) * (x-4) * (x+6)

Step-by-step explanation:

A fish tank is normally in the shape of a rectangular prism. The volume of a rectangular prism can be calculated using the following formula

V = w * h * l

where w represents the width, h represents the heigh, l represents the length, and V represents the volume of the rectangular prism/fish tank. Therefore, we can use the function provided in the question and simply add 3 units to the length and 2 units to the width in order for it to work for our new fish tank.

V(x)=(x+9) * (x-4) * (x+6)

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1 year ago

The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a ca

dem82 [27]

Answer:

$\frac{4}{663}$

Step-by-step explanation:

Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.

A - the first card is 4

B - second card is ace

We have to find probability for

$A\bigcap B$

P(A) = no of 4s in the deck/total cards = $\frac{4}{52} =\frac{1}{13}$

After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it

P(B) = no of Aces in 51 cards/51 = $\frac{4}{51}$

Hence

$P(A\bigcap B) = \frac{1}{13} *\frac{4}{51} \\=\frac{4}{663}$

(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)

8 0

1 year ago

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The average annual costs for owning two different refrigerators for x years is given by the two functions: f(x) = 850 + 62x /x a

Alex17521 [72]

Answer:

In the long run cost of the refrigerator g(x) will be cheaper.

Step-by-step explanation:

The average annual cost for owning two different refrigerators for x years is given by two functions

f(x) = $\frac{850+62x}{x}$

= $\frac{850}{x}+62$

and g(x) = $\frac{1004+51x}{x}$

= $\frac{1004}{x}+51$

If we equate these functions f(x) and g(x), value of x (time in years) will be the time by which the cost of the refrigerators will be equal.

At x = 1 year

f(1) = 850 + 62 = $912

g(1) = 1004 + 51 = $1055

So initially f(x) will be cheaper.

For f(x) = g(x)

$\frac{850}{x}+62$ = $\frac{1004}{x}+51$

$\frac{1004}{x}-\frac{850}{x}=1004-850$

$\frac{154}{x}=11$

x = $\frac{154}{11}=14$

Now f(15) = 56.67 + 62 = $118.67

and g(x) = 66.93 + 51 = $117.93

So g(x) will be cheaper than f(x) after 14 years.

This tells below 14 years f(x) will be less g(x) but after 14 years cost g(x) will be cheaper than f(x).

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1 year ago

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1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per nig

Vladimir [108]

Answer:

Option E

Step-by-step explanation:

This survey will not be reliable as it is chosen for convenience; the first 120 students to arrive in school on a particular morning and this collection of individuals may not be a representative of the population. The study may become biased because it does not take into account the latecomers among the students which might have been changed the study from systematically favoring certain outcomes.

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1 year ago