Answer:
The options are not shown, so i will answer in a general way.
Let's define the variables:
h = number of hats
m = number of mugs.
We know that a total of 1000 items were ordered, then:
h + m = 1000
We also know that we have 3 times more mugs than hats, this can be written as:
m = 3*h
Now we have the system of equations:
h + m = 1000
m = 3*h
To solve these, we usually start by isolating one of the variables in one equation and then replace that in the other equation, but in this case, we already have m isolated in the second equation, then we can replace that in the first equation to get:
h + m = 1000
h + (3*h) = 1000
Now we can solve this equation for h, and find the number of hats ordered.
4*h = 1000
h = 1000/4 = 250
There were 250 hats ordered.
Answer:
65.52 square feet
Step-by-step explanation:
to find area of a rhombus with the diagonals multiply them together and divide by two.
10.4 x 12.6 = 131.04
131.04/2 = 65.52 square ft
Answer:
X = 11
Step-by-step explanation:
Simplifying
X + 24 = 35
Reorder the terms:
24 + X = 35
Solving
24 + X = 35
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-24' to each side of the equation.
24 + -24 + X = 35 + -24
Combine like terms: 24 + -24 = 0
0 + X = 35 + -24
X = 35 + -24
Combine like terms: 35 + -24 = 11
X = 11
Simplifying
X = 11
