Hello! So Sophia cuts two pieces of ribbon that are different lengths and lines them up together. To find the total length of the two ribbons, let's add them up. Because there is no digit in the thousandths place, we'll fill that in with a zero. Now, let's add up the numbers. 9.281 + 7.740 = 17.021. There. The total length of the ribbons is 17.021 cm long.
Answer:
49x² + 42x + 9
Step-by-step explanation:
Given
(7x + 3)²
= (7x + 3)(7x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis
= 49x² + 21x + 21x + 9 ← collect like terms
= 49x² + 42x + 9
She spent $310 on the singing camp.
MY WORK:
I multiplied $86.50*20 because $86.50 is the amount she deposited for 20 months. $86.50*20=$1740.00
Then I multiplied $24.50*20 because she spent $24.50 for 20 months. $24.50*20= $490.00
Then I subtracted $1740.00-$490.00 because she spent $490 out of her bank account. $1740.00-$490.00=$1240.00
Finally, because its 1/4 of her money, I divided $1240.00 by 4. $1240 divided by 4= $310
Hope this helps!!
:)
Step-by-step explanation:
Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.
Because the ratio of women to children is 10:1, double the ratio of men to women so the women are both 10:
Men to women becomes 8:10
Now total the 3 ratios: 8 for men, 10, for women and 9 for children:
8 + 10 + 9 = 27
Divide total people by that number:
270/27 = 10
Multiply 10 by each ratio:
Men = 8 * 10 = 80
Women = 10 * 10 = 100
Children = 9 *10 = 90
There is 80 men.
