Lets write the problem info into an equation and solve step by step:
7(1/3 + 4/5)
the minimum common multiple of 3 and 5 is 15, so we multiply and divide the fractions by a proper number to convert them to be divided by 15 so is easier to add them:
<span>(1/3)(5/5) = (1*5)/(3*5) = 5/15
(4/5)(3/3) = (4*3)/(5*3) = 12/15
</span>so we substitute in the original equation:
7(1/3 + 4/5<span>)
</span>= 7(5/15 + 12/15<span>)
= 7(17/15)
= (7*17)/15
= 119/15</span>
Answer:
<em>y=7x+1</em>
Step-by-step explanation:
<u>Linear modeling</u>
Consists of finding a linear equation that represents a situation in real life.
Jenny starts her stamps collection with only 1 stamp.
Then she collects 7 stamps per day.
Let's call
y=total amount of stamps in Jenny's collection
x=number of days
Knowing Jenny collects 7 stamps per day, then in x days, she collects 7x stamps. The total amount can be obtained by adding the first stamp she had. Thus, the model is:
y=7x+1
Answer:
A. -61/9
Step-by-step explanation:
(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation
14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms
9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56
x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x
Answer:
10 pounds.
Step-by-step explanation:
Let x pounds be the amount of mixed nuts we require.
Amount of peanuts in this mix = 0.70x pounds. Amount of peanuts in the 20% mix = 0.20*15 = 3 pounds.
So we have the equation:-
0.70 x + 3 = 0.40(x + 15)
0.70 x + 3 = 0.40(x + 15)
0.70x + 3 = 0.40x + 6
0.70x - 0.40x = 6 - 3
0.30x = 3
x = 10.
Answer:
All sides will be 11 and all angles will be 90 degrees.
Step-by-step explanation:
As all sides of square are equal. And all angles are right angled.
Hope it helped!!
