Answer:
x = 7
Step-by-step explanation:
I reversed it for easy viewing:
(x+7)/3x = 2/3
<=> (x + 7).3 = 2.(3x)
<=> 3x + 21 = 6x
<=> 21 = 6x - 3x
<=> 3x = 21
<=> x = 7
Answer:
385 kilometers
Step-by-step explanation:
Divide 374 by 34 to get the unit price
Then multiply the unit price by 35
Sarah: 48 * 1/8
Jane: 36 * 1/9
you could do 2 things here
a. solve the problem by multiplying the two "fractions" together for each person to get a number, and the larger number means the larger piece
or
b. take a step back and look at it piece by piece
first lets compare
Sarah has a piece of Ribbon equal to 48 inches while
Jane's ribbon is only 36 inches in length
so Sarah has the most ribbon to start out with
now lets compare the two fractions
1/8 and 1/9
the smaller the denominator the bigger the number actually is
because the denominator just means "divided by" this number, so the smaller the number, the less "groups" the numerator is being split up into.
now in that case, 1/8 is the bigger fraction, and this fraction belongs to Sarah
now if Sarah has the larger Ribbon and the larger fraction, then she automatically has the larger ribbon.
however, in this problem it asks for "how much longer"
so we have to treat each of the numbers for each person as if it was a fraction
48 inches for Sarah and 36 inches for Jane will be over 1, showing that it is 48 and 36 "wholes" or whole numbers
48/1 and 36/1
now we multiply 48/1 by 1/8 because that i how much ribbon sarah needs
multiply the numerator by the numerator and the denominator by the denominator
48/1* 1/8 = 48/8 or simplified to 6/1 or 6 inches of ribbon for Sarah
do the same for Jane
36/1 * 1/9 = 36/9 or simplified to 4/1 or 4 inches of Ribbon for Jane
therefore we can conclude
Sarah has 2 more inches of Ribbon than Jane
Hello,
Magnetude is the norm of the vector=V13
Polar angle=arctan(2/3) ==>33.69...°
Answer:
A and C
Step-by-step explanation:
To find the volume of the hamster house, you have to separate the full shape into two shapes that you can solve the volume of. Once you do this, find the volume of each one and add them together to get the volume, 42. Now, use a calculator to evaluate these equations and see if the answer matches the volume that you found. Hope this helped!
