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.
Answer:
F, I only
Step-by-step explanation:
We can see this is a quadratic equation and c is the constant. What changes when we change the constant? It will change the h intercept which we can see is also known as a y intercept (the y axis is renamed as h).
You can also use graphs to visualize this, try changing the constant in the equation and you can see the y intercept change.
so the answer is F, I only.
Answer:
576 Sq.units
Step-by-step explanation:
Multiply all of the numbers together
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;
Also Given:
Alex is 12 years older than George.
So equation can be framed as;
Now Given:
Carl is three times older than Alex.
But 
So we get;
Now Substituting equation 2 and equation 3 in equation 1 we get;
Subtracting both side by 48 using subtraction property of equality we get;
Now Dividing both side by 5 using Division property of equality we get;
Hence George age 
Now Alex age 
Also Carl's age 
Now we need to find the ratio of George age to Carl's age.
Hence the ratio of George age to Carl's age is 1:12.
Answer:
A
Step-by-step explanation:
90 degree angle = right angle, that's what it is. you know there's 60 degree, so the other one is 90 - 60 = 30. since it's 3 times x, it's 10.
