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Setler [38]
3 years ago
6

Ming writes a number pattern on a slip of paper and hands it to his friend Jack. 24 21 23 20 22 19 21 18 Jack writes the next nu

mber in the pattern and hands the paper back to Ming. What number should Jack write?
Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0
The rule is -3, then +2

24-3 = 21
21 + 2 = 23
23-3= 20
20+2= 22
22-3= 19
19+2 = 21
21-3= 18
18+2 = 20
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(3/5) / (15/6)<br> _________<br> Show Work
Gala2k [10]
(3/5) : (15/6) ===> (3/5) X (6/15) = 18/75 =6/25
4 0
3 years ago
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8x - 2 + 4x + 10 + 3x + 5 = 180
erik [133]

Answer: 11\frac{2}{15}

Step-by-step explanation:

What you are trying to do is isolate the variable x. For you to do that you have to first simplify the left side of the equation and then you solve for x.

5 0
2 years ago
Solve the following system. y = x 2 - 9x + 10 and x + y + 5 = 0. The solutions are
shepuryov [24]
X+y+5=0

y=-x-5

If a solution exists y=y so we can say

x^2-9x+10=-x-5  add x+5 to both sides

x^2-8x+15=0 now factor

x^2-3x-5x+15=0

x(x-3)-5(x-3)

(x-5)(x-3) so x=3 and 5, using y=-x-5

y(3)=-8 and y(5)=-10

So the two solutions are:

(3,-8) and (5,-10)

6 0
3 years ago
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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant
Viktor [21]

Answer:

Therefore k= \frac{ln2 }{18}, A=184

Step-by-step explanation:

Given function is

T(t)=230 -e^{-kt}

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

138=230 -Ae^{-k\times 18}

\Rightarrow  -Ae^{-18k}=138-230

\Rightarrow  Ae^{-18k}=92 .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

184=230-Ae^{-k\times 36}

\Rightarrow Ae^{-36k}=230-184

\Rightarrow Ae^{-36k}=46.......(2)

Dividing (2) by (1)

\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}

\Rightarrow e^{-18k}=\frac{46}{92}

Taking ln both sides

ln e^{-18k}=ln\frac{46}{92}

\Rightarrow -18k =ln (\frac12)

\Rightarrow -18k= ln1-ln2

\Rightarrow k= \frac{ln2 }{18}

Putting the value k in equation (1)

Ae^{-18\frac{ln2}{18}}=92

\Rightarrow A e^{ln2^{-1}}=92

\Rightarrow A.2^{-1}=92

\Rightarrow \frac{A}{2}=92

\Rightarrow A= 92 \times 2

⇒A= 184.

Therefore k= \frac{ln2 }{18}, A=184

7 0
3 years ago
What divided by 9 is -11?
Black_prince [1.1K]

Answer:

-99 divided by 9 is -11

Step-by-step explanation:

a negative divided by a positive is a negative and a positive divided by a negative is a negative .

but a negative divided by a negative is a positive

5 0
2 years ago
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