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3 years ago

I don’t understand this!!

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

9, 11, 13

Step-by-step explanation:

We can rephrase an odd number into an algebraic equation of (2n+1)

Therefore, 3 consecutive odd numbers would be written as:

(2n+1), (2n+3), (2n+5)

We can then rewrite the question as:

3 x (2n+1) = 2 x (2n+5) + 1

Work out the equation to find n:

6n + 3 = 4n + 10 + 1

(minus 4n from both sides)

2n + 3 = 11

(minus 3 from both sides)

2n = 8

(divide both sides by 2 to get)

n = 4

To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:

(8+1), (8+3), (8+5)

= 9, 11 and 13

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Use each table to find the requested ratio. ITEM BANK: Move to Bottom 1:2 1:4 1:5 2:1 4:1 5:1

Cerrena [4.2K]

Answer:

See below ~

Step-by-step explanation:

Table 1

⇒ Side length : Perimeter = 1 : 4

⇒ Perimeter : Side length = 4 : 1

Table 2

⇒ Radius : Diameter = 1 : 2

⇒ Diameter : Radius = 2 : 1

Table 3

⇒ Number of people : Number of tables = 5 : 1

⇒ Number of tables : Number of people = 1 : 5

3 0

2 years ago

What is the value of x? (Type an integer or a decimal.)

AfilCa [17]

Answer:

2.8

Step-by-step explanation:

10× X = 7× 4

X = 7×4/10 = 2.8

4 0

3 years ago

the value of a baseball card can be represented by the equation y equals 3x + 39 where X represents the number of years that Rob

Blababa [14]

Answer:

I need the values of either X or Y to solve this. I can solve for what X is though.

Step-by-step explanation:

A: X = -12

B: X =78

C: X = 12.13

I hope this helps you, but since both X and Y are unknown variables, you can't solve it, only simplify (which it already is.)

3 0

3 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

3 years ago

Read 2 more answers

In a school 40% are boys and 900 are girls. find the total number of students of the school and the number of boys

My name is Ann [436]

Answer:

1500 students

600 boys

Step-by-step explanation:

40% are boys, so 60% are girls.

Writing a proportion:

900 / 60% = x / 100%

x = 1500

There are 1500 students in the school, which means there are 600 boys in the school.

6 0

3 years ago