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3 years ago

So what is negative 3/13, as a fraction minus 2/5, as a fraction[/tex]

Mathematics

2 answers:

Readme [11.4K]3 years ago

5 0

Answer:

-41/65

Step-by-step explanation:

Likurg_2 [28]3 years ago

5 0

Answer:

$-\frac{41}{65}$

Step-by-step explanation:

In order to find the answer to this question remember to use KCC (Keep, Change, Change) and find the least common denominator. (LCD)

$-\frac{3}{13}-\frac{2}{5}$

Use KCC

$-\frac{3}{13} +-\frac{2}{5}$

Now add

$LCD=65$

$\frac{-3\times5}{13\times5} -\frac{2\times13}{5\times13}$

$=\frac{-15-26}{65}$

$=-\frac{41}{65}$

Hope this helps.

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A golf tournament has five rounds. The players are given scores for each round based on how many strokes they are above or below

Sedaia [141]

Answer:

(A) ∫₁⁵[Xₙ + k] where n ranges from 1 to 5

(B) 73.6

Step-by-step explanation:

The question is clear enough. Kudos!

So there are many players but we're focusing on Ricky.

Ricky has already recorded his score for each of the 5 rounds in the tournament.

The number of strokes in Ricky's record are to be added to or subtracted from a given number 72

ROUND 1: [72 - 5] strokes = 67

ROUND 2: [72 + 6] strokes = 78

ROUND 3: [72 - 2] strokes = 70

ROUND 4: [72 + 4] strokes = 76

ROUND 5: [72 + 5] strokes = 77

(A) Write an expression to represent Ricky's total number of strokes for the five rounds.

Do not panic at this first exercise. You are to write an expression which when evaluated, will give the total number of strokes for all five rounds!

You are already given an abstract number '72' to work with in this question.

It is a fixed quantity which influences the value of strokes for each round.

We will represent this by an algebra, if we have to create the above required expression.

The expression will then be:

∫₁⁵[Xₙ + k] where n ranges from 1 to 5

You already know that the sigma sign '∫' represents summation and that's summation from the subscript '1' to the superscript '5'.

X₁ would be -5, X₂ would be +6, X₃ would be -2, X₄ would be +4, X₅ would be +5

K is the constant 72

(B) What was Ricky's average number of strokes per round?

Out of the 5 rounds, the average number of strokes per round would be

[67 + 78 + 70 + 76 +77] ÷ 5

= 368/5 = 73.6

6 0

3 years ago

What is the nth term rule of the linear sequence below? -4,-1,2,5,8,...

storchak [24]

Answer:

The nth term of the given sequence tₙ = 3 n - 7

Step-by-step explanation:

Given sequence - 4 , -1 , 2 , 5, 8 , .....

First term a = -4

The difference of two terms of a given sequence

d = -1 - (-4) = -1 +4 = 3

d = 2 - (-1) = 2 +1 = 3

d = 5 -2 = 3

d = 8 - 5 =3

The difference of two terms of a given sequence is equal

∴ The given sequence is in Arithmetic progression(AP)

The nth term of given sequence

$t _{n} = a + ( n-1 ) d$

$= -4 + (n -1 ) 3 \\= - 4 + 3n - 3 \\= 3 n - 7$

Final answer:-

The nth term of the given sequence tₙ = 3 n - 7

6 0

3 years ago

What is ✓ 48 in simplified form? 0 24 O 43 02/12 O V 48 can't be simplified.

nikitadnepr [17]

Answer:

3rd option

Step-by-step explanation:

square 4 times 12

square root of 4 is 2

so itt would be 2/12

3 0

3 years ago

Find the equation of the linear function represented by the table below in slope-

vodomira [7]

Answer:

y = x + 4

Step-by-step explanation:

Let the equation of the linear function represented by the table is,

$y-y_1=m(x-x_1)$

where m = slope of the line

And this line passes through the points $(x_1,y_1)$ and $(x_2,y_2)$

Slope of the given line = $\frac{y_2-y_1}{x_2-x_1}$

From the given table two points lying on the function are (-4, 0) and (1, 5).

Slope 'm' = $\frac{5-0}{1+4}$ = 1

Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,

y - 5 = (x - 1)

y = x + 5 - 1

y = x + 4

8 0

4 years ago

Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years. Use I= part

sammy [17]

Answer:

The amount of interest is $5580.

Step-by-step explanation:

Given : Jacob borrowed $30, 000 to start up his consulting business. The loan had simple interest rate of 6.2% for 3 years.

To find : The amount of interest he will pay with the loan ?

Solution :

Using interest formula,

$I=P\times R\times T$

Where, P is the principal P=$30,000

R is the rate of interest R=6.2%=0.062

T is the time t=3 years.

Substitute the value in the formula,

$I=30000\times 0.062\times 3$

$I=5580$

Therefore, The amount of interest is $5580.

6 0

3 years ago