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ratelena [41]
3 years ago
6

Write an equation to describe this situation then solve it. Eight less than three times a number equals twenty-two

Mathematics
1 answer:
EastWind [94]3 years ago
6 0

Answer:

The number is 10

Step-by-step explanation:

3x-8=22

3x=30

x=10

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Find the equation of the line. Use exact numbers
romanna [79]

Answer:

y = -3/2x + 3

Step-by-step explanation:

We can get 2 points from the graph

(0,3)

(2,0)

from (0,3) we know that the b in the equation is 3

now to calculate m or slope we use \frac{y1-y2}{x1-x2}

\frac{0 - 3}{2-0} = -3/2

so we plug our m and b into y = mx + b and get

y = -3/2x + 3

6 0
3 years ago
How many 3-digit numbers can you write using only digits 1 and 7? (Of course, digits can repeat.) How many 3-digit numbers can y
Lana71 [14]

Answer:

111,117,177,777,771,711,717,171

Step-by-step explanation:


7 0
3 years ago
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Roger goes to a restaurant with Cathy. They order an appetizer of calamari for $8. Roger has a glass of red wine for $4 and Cath
Schach [20]

Answer:

13.8

Step-by-step explanation:

8+4+5=17

26×2=52

17+52=69

69×.20=13.8

8 0
3 years ago
John has a die and a coin. The die is labeled 1 through 6 and the two sides of the coin are heads and tails. The tables below sh
Alenkasestr [34]

Answer:

n = 60

Step-by-step explanation:

Total outcomes, while tossing a coin are 2, given as:

{Heads, Tails}

The probability of getting a heads up, while tossing the coin is:

P(Heads) = Favorable Outcome/Total Outcomes

P(Heads) = 1/2 = 0.5

Now, the total outcomes, while rolling a die are 6, given as:

{1, 2, 3, 4, 5, 6}

5 of these numbers are factors of 12, which are:

{1, 2, 3, 4, 6}

Thus, the probability of getting a factor of 12, while rolling a die is:

P(Factor of 12) = Favorable Outcome/Total Outcomes

P(Factor of 12) = 5/6 = 0.83

So, the probability of getting both heads and factor of 12 will be:

P(Heads and Factor of 12) = P(Heads ∪ Factor of 12)

P(Heads and Factor of 12) = P(Heads) * P(Factor of 12) = 0.5 * 0.83

P(Heads and Factor of 12) = 0.417 = 41.7%

So, for 144 trials, the number of trials in which we get heads and factor of 12, are given by:

n = P(Heads and Factor of 12) * 144

where,

n = no. of trials John would expect to roll a number on the die that is a factor of 12 and toss a coin that lands heads-up out of next 144 trials

n = 0.417 * 144

<u>n = 60</u>

7 0
3 years ago
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jean
Evgesh-ka [11]

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is ^nC_r

\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}

6 0
3 years ago
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