Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:
We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:
<em>subtract 1 from both sides</em>
2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:
We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
Answer:
x + 5 * 4
In this problem we have to transfer the expression from verbal to mathematical language. Which would be:
x + 5 * 4
"x" represents "a number"
"5 more than a number" is represented by "x + 5"
"the product of" is indicating a multiplication, which is represented by "*"
Hope it helped,
BioTeacher101
Answer:
The width of the rectangle is 56 and the length is 48
Step-by-step explanation:
divide the perimeter in half (52 + 52)
then subtract 4 from one of the 52's
you get the answer of 56 and 48
Your answer can be checked by conferming that 56 - 48 = 8 so the width of a rectangle is 8 inches longer than its length.
Easy, all you have to do is add the eggs which she got the grams for (178.7)
Then, subtract 178.7g. from 225.0g. (46.3)
Then just put the eggs according from least to greatest:
1st egg:43.98
2nd egg:45.02
3rd egg:45.07
4th egg:45.72
5th egg:46.3
Hope this helps!
1) In a dozen, there are 12. Since there are 5 dozen, you would multiply 12 by 5, which is 60.
So 5 dozen oranges would cost $60.
2) For this, I'm guessing you need a ratio. So, 2 : 5 for white: blue. When can put that down to 1 white. 1: 2.5. The question (I'm unsure of) is asking ?: 8.5. 8.5÷ 2.5 = 3.4. So you'll multiply the white side as well, 1×3.4=3.4. So 3.4.
3) You need to find what one juice box would cost. So since there were 12 in the pack, you divide the cost by 12.
5.40÷12= .45
Now they are asking for an eighteen pack, so multiply what one would cost by 18.
.45×18= 8.1
It would cost $8.10.
