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3 years ago

5

Aaliyah and Victoria ran laps after school to train for the soccer team. The ratio of the number of laps Aaliyah ran to the numb

er of laps Victoria ran was 5:2.
If Aaliyah ran 10 laps, how many laps did Victoria run?

1 answer:

jeka57 [31]3 years ago

4 0

4 because aaliyahs laps multiplied by two so you do 2x4

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Thanks for answering these 1. -2(n-6)

myrzilka [38]

1) -2(n-6)

-2n+12

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(5b-4)(1/5)
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3) 2/3(6y+9)
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3 years ago

What is the least common multiple of 6x^2+39x-21 and 6x^2+54x+84?

SOVA2 [1]

Answer:

$12x^3+102x^2+114x-84$

Step-by-step explanation:

<u>Given polynomials</u>:

$\begin{cases} 6x^2+39x-21\\6x^2+54x+84 \end{cases}$

Factor the polynomials:

<u>Polynomial 1</u>

$\implies 6x^2+39x-21$

$\implies 3(2x^2+13x-7)$

$\implies 3(2x^2+14x-x-7)$

$\implies 3[2x(x+7)-1(x+7)]$

$\implies 3(2x-1)(x+7)$

<u>Polynomial 2</u>

$\implies 6x^2+54x+84$

$\implies 6(x^2+9x+14)$

$\implies 6(x^2+7x+2x+14)$

$\implies 6[x(x+7)+2(x+7)]$

$\implies 6(x+2)(x+7)$

$\implies 2 \cdot 3(x+2)(x+7)$

The lowest common multiplier (LCM) of two polynomials a and b is the <u>smallest multiplier</u> that is <u>divisible</u> by both a and b.

Therefore, the LCM of the two polynomials is:

$\implies 2 \cdot 3(x+7)(x+2)(2x-1)$

$\implies (6x^2+54x+84)(2x-1)$

$\implies 12x^3+108x^2+168x-6x^2-54x-84$

$\implies 12x^3+102x^2+114x-84$

8 0

2 years ago

Read 2 more answers

Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5

d1i1m1o1n [39]

<h2>Given↷</h2>

A system of equations

y= x-1
y= -2x+5

<h2>To find↷</h2>

The solution to the system of equations

<h2>Answer↷</h2>

(2,1)

<h2>Solution↷</h2>

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

Plugging the value of x in equation 1,

y= 2-1

y= 1

hence, the solution of this system of equation is (2,1)

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2 years ago

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Ebba is buying bulk fabric.

-Dominant- [34]

Answer:

To find the cost per yard, divide the cost by the amount:

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s: 7.2 / 6 = 1.2 --> The cost per yard is $1.20

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3 years ago

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guapka [62]

5.74 Feet Hope this helps <3

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