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Jobisdone [24]
3 years ago
12

Kalino earned 85, 95, 93, and 80 points on the 4 tests, each worth 100 points, given so far this term. How many points must he e

arn on his fifth test, also worth 100 points, to average 90 points for the 5 tests given this term?
Mathematics
2 answers:
Anit [1.1K]3 years ago
6 0

Answer:

Kalino would need to earn at least a 97 on his fifth test.

Step-by-step explanation:

The average is calculated by adding up the amounts earned on each test and dividing by the total number of tests.  In this case, the score for the last test is not known, but the expected average of 90 points is, so we can set up an equation to solve for the unknown test value:

\frac{85+95+93+80+x}{5} =90

'x' represents the score of the fifth test.  Using inverse (opposite) operations and doing the same operation to both sides of the equation, we can first multiply both sides by 5:

\frac{353+x}{5} x 5 = 90 x 5

353 + x = 450, now subtract 353 from both sides: 353 -353 + x = 450 - 353

x = 97

Inga [223]3 years ago
6 0

Answer:

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hope this helps : )

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Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol
3241004551 [841]

Answer:

12

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

3 × 2 × 2 × 2 = 24

These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

5 0
3 years ago
Read 2 more answers
The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
Komok [63]

The equation that must be true regarding the function is a. f(–3) = –5

<h3>How to explain the information?</h3>

The point (–3, –5) is on the graph of a function. Which equation must be true regarding the function?

a. f(–3) = –5

b. f(–3, –5) = –8

c. f(–5) = –3

d. f(–5, –3) = –2

The question is what does the point (-3, -5) correspond to on the graph of the function.

If we have a point on a graph in the Cartesian coordinate system then that point consists of coordinates (x, y). In other words, y=f(x) and x so (x, f(x)) where x is a x-coordinate and y=f(x) is y-coordinate.

Hence if we have a point (-3, -5) the corresponding coordinates are x=-3 and y=f(x)=-5.

Therefore the correct answer is f(-3)=-5.

Learn more about equation  on:

brainly.com/question/2972832

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7 0
2 years ago
Spell out the name of a planet with a 29-day year
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The answer would be mercury.
6 0
3 years ago
Answer the question in the photo. What would be the area and what would be the cost?
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3 years ago
What is the asymptote for the graph of this logarithmic function?<br><br> f(x) = log3(x – 1)
Pepsi [2]

Answer:

Vertical Asymptote:

x=1

Horizontal asymptote:

it does not exist

Step-by-step explanation:

we are given

f(x)=log_3(x-1)

Vertical asymptote:

we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

x-1=0

we get

x=1

Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

\lim_{x \to \infty}  f(x)= \lim_{x \to \infty}log_3(x-1)

\lim_{x \to \infty}  f(x)=log_3(\infty-1)

\lim_{x \to \infty}  f(x)=undefined

so, it does not exist

7 0
3 years ago
Read 2 more answers
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