All categories

3 years ago

2 less than one-third of the points that the Panthers scored. How do you write this as an algebraic expression.

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

3 0

Answer: $\frac{x}{3} -2$

Step-by-step explanation:

Let panther scores x points.

Therefore, one-third of the points that the Panthers scored = $\frac{x}{3}$

Thus, 2 less than one-third of the points that the Panthers scored = one-third of the points that the Panthers scored-2 = $\frac{x}{3} -2$

Which is the required algebraic expression.

You might be interested in

To make a punch Anna adds 8 ounces of apple juice for every 4 ounces of orange juice if she uses 32 ounces of apple juice which

Novosadov [1.4K]

Answer:

Step-by-step explanation:

If our ratio is apple juice to orange juice, then the proportion will be

$\frac{a}{o}:\frac{8}{4}$

If we are looking for how much orange juice she needs if she uses 32 ounces of apple juice, then 32 goes on top of a new ratio and x goes on bottom:

$\frac{a}{o}:\frac{8}{4}=\frac{32}{x}$

That's the proportion. If you need to solve it, cross multiply to get

8x = 128 so

x = 16 ounces of orange juice

6 0

3 years ago

Find the sum of series 4/(4n-3) (4n+1)

ANTONII [103]

$\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}$

Assuming the sum starts at $n=1$ , the $N$ th partial sum is

$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)$
$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}$

As $N\to\infty$ , you're left with simply 1.

8 0

3 years ago

Izzie recently took a math test where each correct answer (a) on the main part of the test was worth 8.3 points. She also correc

Temka [501]

Answer:

12 correct answers

Step-by-step explanation:

Since in the main part she scores 8.3 points for each question she answers correctly, we can assume that the number of questions she answers correctly=a

Therefor, the total number of points she achieved in the math test in the main part alone can be expressed as:

Total score(main part)=8.3×a=8.3a points

She also solved a bonus question worth=11 points

Consider expression 1 below

The total score in the whole test=Total score in the main part+Bonus points, where;

Total score in the whole test=110.6 points

Total score in the main part=8.3a points

Bonus points=11 points

Substituting the values in expression 1:

8.3a+11=110.6

8.3a=110.6-11

8.3a/8.3=99.6/8.3

a=12

Number of correct answers in the main part=a=12

4 0

4 years ago

50 points giveaway <3 brainliest if u need extraaa

Igoryamba

hey how are you today?

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help again and thanks..........

LenKa [72]

Answer:

a = $8
s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

ax +by = c
dx +ey = f

are ...

∆ = bd -ea
x = (bf -ec)/∆
y = (cd -fa)/∆

Using that rule here, we find ...

∆ = 5·3 -6·2 = 3

a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

_____

Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

_____

<em>Comment on the question</em>

We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.

6 0

3 years ago