You have a good day and good luck on that question
Answer:
The jeweler made 11 bracelets and 7 necklaces.
Step-by-step explanation:
Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:
(16 - 6) x 7 = 70
178 - 70 = 108
108/6 = 18
18 - 7 = 11
(11 x 6) + (7 x 16) = X
66 + 112 = X
178 = X
Thus, the jeweler made 11 bracelets and 7 necklaces.
-2 -13.8x = -8 -6x -1
First, I distributed the negative 1 that was outside of the parentheses to the positive 6x and the positive 1.
-2 -13.8x = -9 -6x
Then I added the negative 8 to the negative 1 which equals negative 9.
-2 -13.8x +6x = -9 -6x +6x
After that I used the addition property and added a positive 6x to both sides.
-2 -7.8x = -9
Then simplifying.
+2 -2 -7.8x = -9 +2
After simplifying, I used the addition property again, adding a positive 2 to both sides.
-7.8x = -7
Simplified.
-7.8x (-1) = -7 (-1)
Then I multiplied both sides by with a negative 1 since the variable cannot be a negative.
7.8x = 7
Simplified
(1/7.8) 7.8x = (1/7.8) 7
Then, to isolate the veriable, I multiplied 1/7.8 to both sides.
x = 1.11428571429
The answer !
I hope this helped !
Answer:
Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.
Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.
Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3
Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9
Add.
This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
6u+15=33
6u=33-15
6u=18
u=3
U = 3 Is the answer!!!
HOPE THIS HELP!! :D
