to solve for the dimensions (x+7)(x+2)=66,
we can first use the foiling method to simplify the left side.
x^2 + 2x + 7x + 14 = 66
x^2 + 9x + 14 = 66
now, subtract 66 from both sides.
x^2 + 9x - 52 = 0
now, split this into two parentheses.
(x + 13)(x - 4)
since the root of -13 would give you negative values, x=4. This means that the dimensions of the rectangle are 11 and 6.
Answer: 7/12 of the beads are blue and green
Step-by-step explanation: To make both denominators of fraction 3/12 and 1/3 equal, you have to change both denominators to the lowest common denominator. Since the LCD (lowest common denominator) is 12 you have to multiply 1/3 by 4 to make the two denominators match.
1/3 x 4/4= 4/12
Then to find the total fraction of both green and blue beads on the necklace, you simply have to add the two fractions together.
4/12+3/12= 7/12
hope this helps :)
Not sure what them other words mean I haven’t done this in a minute but the corresponding angles are all the same but the size is difference
She will use more than 1/4 cup of sugar to make 1.5 batches of muffins. If one batch of muffins requires 1/4 cup of sugar, you can think of the amount of sugar needed being 1/4 cup per batch. That being said multiply 1.5 batches by 1/4 cup per batch to find cups of sugar.
(1.5 batches)x((1/4 cups)/(1 batch))=0.375 cups of sugar.
You can also think of it as if one batch takes 1/4 cup of sugar, half of a batch would take 1/8 cup of sugar. Since 1.5 batches is just 1 batch+1/2 batch, you can say the amount of sugar needed is 1/4 cup+1/8 cup which equals 3/8 cup sugar.
I hope this helps you.
When calculated your answer is 162
