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Marrrta [24]
2 years ago
13

Find the 90th term of the arithmetic sequence, 8.9, 13.6, 18.3, 23, …

Mathematics
1 answer:
Ronch [10]2 years ago
4 0

Answer:427.2

Step-by-step explanation:

8.9 13.6 18.3

it goes up in 4.7

4.7n

8.9-4.7=4.2

4.7n+4.2

4.7(90)+4.2

423+4.2=427.2

Hopefully it is correct :)

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If you buy six pens and one mechanical pencil, you'll get only $1 change from your $10 bill. but if you buy four pens and two me
xxTIMURxx [149]

Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.

Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:

\begin{cases} 6p+m=9\\4p+2m=8\end{cases}

Now, if you multiply the first equation by 2, the system becomes

\begin{cases} 12p+2m=18\\4p+2m=8\end{cases}

Subtract the second equation from the first:

12p+2m - (4p+2m) = 18-8 \iff 8p = 10 \iff p = \dfrac{10}{8} = 1.25

Plug this value into the first equation to get

6p+m=9 \iff 6\cdot 1.25 +m = 9 \iff 7.5 +m=9 \iff m = 9-7.5 = 1.5

7 0
3 years ago
Compare -3.6 and 1.2.
jasenka [17]

Answer:

-3.6 is a negative number compared to 1.2. 1.2 is -3 times less than -3.6. -3.6 is -3 times more than 1.2

Step-by-step explanation:

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8 0
3 years ago
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What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?
NNADVOKAT [17]

Answer:

search it on googIe Imao

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4 0
2 years ago
Describe how you would test a sample of food to show it contains protein.
harkovskaia [24]

Step-by-step explanation:

Iodine test for starch

Method:

Place one spatula of the food sample on a dish or 1 cm3 if the sample is liquid.

Using a dropper, place a few drops of iodine solution onto the food.

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5 0
3 years ago
Help me check my answer!
astra-53 [7]

Step-by-step explanation:

ah, here you go.

come on, now. you know this now ...

again, mutually exclusive attributes in the table (no overlap here) allow us to add the numbers for a total :

4+2+12+10 = 28 students in total.

how many of those 28 fulfill our desired criteria (has a brother) ?

well, it is the sum of the column "has a brother", as it does not matter, if there is also a sister or not.

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therefore, the probability to pick a student randomly, who has a brother is

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5 0
2 years ago
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