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Monica [59]
2 years ago
13

How is the product of 2 and 5 shown on a number line?

Mathematics
1 answer:
Sedbober [7]2 years ago
5 0

Answer:

d

Step-by-step explanation:

2 × -5 = -10

so number line should graduate from -5 to -10

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Find the first five terms of the sequence given by a 1 = 2, a n = 3 a n -1 - 1.
lara31 [8.8K]

Answer:

2, 5, 14, 41, 122

Step-by-step explanation:

Using the recursive rule with a₁ = 2

a₂ = 3a₁ - 1 = 3(2) - 1 = 6 - 1 = 5

a₃ = 3a₂ - 1 = 3(5) - 1 = 15 - 1 = 14

a₄ = 3a₃ - 1 = 3(14) - 1 = 42 - 1 = 41

a₅ = 3a₄ - 1 = 3(41) - 1 = 123 - 1 = 122

The first 5 terms are 2, 5, 14, 41, 122

8 0
3 years ago
Read 2 more answers
Graph the solution if the this inequality 4/9x-10>x/3-12
cupoosta [38]

You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you

... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10

... 1/9x > -2 . . . . . . collect terms

Now, you can multiply by 9 to see the condition on x.

... 9(1/9x) > -2(9)

... x > -18


On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.


On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).

4 0
3 years ago
This may prove to be somewhat tricky.) Suppose that we have 10 coins, which are weighted so thatwhen flipped theith coin shows h
timama [110]

Answer:

2/10

Step-by-step explanation:

Probability of getting head on i'th coin = i/10

Probability Pr of getting head on 2nd coin (Event A) = 2 / 10

Probability Pr of getting head on 1st coin (Event B) = 1/10

Probability A given B = Pr (A/B) = Pr (A∩B) / Pr B ;

where A∩B = Pr (A & B) = Pr A X Pr B

Putting in above formula :

Pr (A/B) = <u>[(</u>1/10)x(2/10<u>)]</u>  / 1/10

= 2/10

4 0
3 years ago
Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
3 years ago
Multiply two and five-eighths negative two and three-fifths .
Yuki888 [10]
The answer is -6.825 in fraction form, it would be -6 33/40
4 0
3 years ago
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