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3 years ago

What -79.54 divided by -9.7

Mathematics

2 answers:

Paha777 [63]3 years ago

8 0

It is 8.2. One way to get it is to use long division and you get 794.5/97 and solve that.

vodka [1.7K]3 years ago

6 0

(-79.54) / (-9.7) = 8.2

Steps:

Conversion: 79.54 = 7954/100 = 3977/50
Unary minus: -79.54 = -3977/50
Conversion: 9.7 = 97/10
Unary minus: -9.7 = -97/10
Divide: -3977/50 / (-9710) = -397750 · 10-97 = -3977 · (-10)50 · 97 = 397704850 = 415

To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.

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There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

lorasvet [3.4K]

Answer:

7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

Combination of 15 strawberry juices chosen in two:

$C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105$

The total number of possible outcomes is:

Combination of 25 juices chosen in two:

$C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300$

Thus, the probability of randomly picking two strawberry juices is:

P (two strawberry juices) = 105/300 = 7/20

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3 years ago

Indicate the equation of the given line in standard form.The line containing the median of the trapezoid whose vertices are R(-1

maxonik [38]

RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3

The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)

Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117

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3 years ago