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Arte-miy333 [17]
2 years ago
6

What is the next term of the arithmetic sequence 1, -2, -5, -8, ...

Mathematics
2 answers:
AveGali [126]2 years ago
5 0

Answer:

-11

Step-by-step explanation:

coz

1-3= -2

-2-3= -5

-5-3= -8

-8-3= -11

Vaselesa [24]2 years ago
3 0

Answer:

-11

Step-by-step explanation:

Subtract 3 everytime

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A group of students calculated their average score at a spelling bee. They realized that if one of them scored 9 more points, th
alukav5142 [94]

Answer: There are 4 students in the group.

Step-by-step explanation:

Let the number of students in the group be n

If one of them scored 9 more points , their average score would be 81 points.

So, our equation (1) will be

\frac{\sum x+9}{n}=81\\\\\sum x+9=81n

Similarly,

If one of them scored 3 points less, their average score would be 78 points.

So, our equation (2) will be

\frac{\sum x-3}{n}=78\\\\\sum x-3=78n

So, from equation (1) and (2) we get:

81n-9=\sum x=78n+3\\\\81n-9=78n+3\\\\81n-78n=3+9\\\\3n=12\\\\n=\frac{12}{3}\\\\n=4

Hence, there are 4 students in the group.

8 0
3 years ago
Please help<br> solve (2x+1)(3x+2)=12
Ugo [173]
Distribute the 2x and the +1 to the 3x and +2 (easier if doing 2-way table)
once doing that you should combine like terms and get 12x+2=12
subtract 2 from both sides 
12x=10
then divide by 12
answer=0.83 rounded to the neares<span>t hundrenth</span>
6 0
3 years ago
What is the solution to the equation 2k-10/-7=8
Rasek [7]
\sf\dfrac{2k-10}{-7}=8

Multiply -7 to both sides:

\sf2k-10=-56 

Add 10 to both sides:

\sf2k=-46 

Divide 2 to both sides:

\sf~k=-23 
6 0
3 years ago
Read 2 more answers
The ingredients for making chocolate cookies are 3/4 cup of brown sugar, 1/4 cup of white sugar, 3/2 cup of butter, 11/8 cup of
Naya [18.7K]

Answer:

\frac{51}{8} cups.

Step-by-step explanation:

It is given that the ingredients for making chocolate cookies are \frac{3}{4} cup of brown sugar, \frac{1}{4} cup of white sugar, \frac{3}{2} cup of butter, \frac{11}{8} cup of flour, and \frac{5}{2} cup of chocolate chips.

Now, we have to calculate the total number of cups of ingredients needed in making chocolate cookies.

So, it will be given by

(\frac{3}{4} + \frac{1}{4} + \frac{3}{2} + \frac{11}{8} + \frac{5}{2}) cups

= \frac{3 \times 2 + 1 \times 2 + 3 \times 4 + 11 + 5 \times 4}{8} cups

= \frac{51}{8} cups. (Answer)

3 0
3 years ago
Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the
Montano1993 [528]

Answer:

5

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3  and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7     Subtract p from both sides.

p - p + r = 7 - p   The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23       Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23      Combine like terms.

3p  - 4p + 28 = 23

- 1p + 28 = 23       Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28  

- p = - 5   Divide each side by -1

- p/- 1 = - 5/ - 1       The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7  Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0
2 years ago
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