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3 years ago

Please help me my grade is on the line

Mathematics

1 answer:

NemiM [27]3 years ago

5 0

Answer shown and explanation above! Hope this helps!

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wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our fist equation.

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our second equation.

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

3 years ago

___% of $10 = $2 Please help me I can not figure it out I need it please

kherson [118]

Answer:

20 :)

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

A math test has 12 multiplication problems and 24 division problems.

Sergio039 [100]

12/36 = 1/3

.........................................................................

7 0

3 years ago

Read 2 more answers

Noah solved an equation as shown below and found that the equation has infinitely many solutions.

Mars2501 [29]

ANSWER

A. Noah is correct because the two sides of the equation are equivalent expressions.

EXPLANATION

The equation given to Noah was

$-3(x + 4) + 2x = 2(x - 6) - 3x$

He expanded to get:

$-3x - 12 + 2x = 2x - 12 - 3x$

He then further simplified each side of the equation to get;

$-x - 12 = -x - 12$

Both sides of this equation are equivalent.

Therefore the equation has infinitely many solutions.

The correct answer is A

6 0

4 years ago

Read 2 more answers

What is the disruptive property of 30+66

Tpy6a [65]

(3 x 10) + (6 x 11). Hope this helps. Happy Thanksgiving

4 0

3 years ago