The drama club is printing t-shirts for its members. The printing company charges a certain amount for each shirt plus a setup f
1 answer:
Answer: $7.
Step-by-step explanation:
It is given that the printing company charges a certain amount for each shirt plus a setup fee of $40.
Let x be the cost of each t-shirt.
There are 21 students in the drama club. So, total cost of 21 t-shirts is
It is given that the t-shirt order costs a total of $187.
Divide both sides by 21.
Therefore, the cost of each t-shirt is $7.
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Answer: Slope of the line given in the table: m = - 0.25
Y-intercept of the line given in the table: b = -4
Slope of the line given by the equation: m = 1.5
Y-intercept of the line given by the equation: b = 1
Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:
m =
Another way of determining the slope is as the form:
y = mx+b
<u>For the table</u>:
As in the table there are only points:
m =
m = - 0.25
<u>For the function</u>:
The function is:
y = 3/2x + 1
m = 3/2
m = 1.5
<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.
<u>For the table</u>:
y = mx + b
According to the table, when y = -2.5, x = -6
-2.5 = - 0.25. (-6) + b
b = -2.5 - 1.5
b = -4
<u>For the function:</u>
y = 1.5x + 1
b = 1
In conclusion:
- For the table: m = - 0.25 b = - 4
- For the equation: m = 1.5 b = 1
Answer:
d
Step-by-step explanation:
We know that diagonals bisect angles of a rhombus, meaning that they split the angles of two equal parts, that opposite angles are equal, and that the angles of a quadrilateral, such as a rhombus, add up to 360 degrees.
Looking at the drawing I uploaded, and taking into account that diagonals bisect angles of a rhombus, we can say that angle x = y and z = 5x-18
Next, given that opposite angles are equal, we can say that angle B = angle D and angle A = angle C. Therefore,
A+B+C+D= 360 (as the angles of a quadrilateral add up to 360)
A + B + A + B = 360 (plugging in A for C and B for D)
2 ( A + B) = 360
A + B = 180
x + y + z + 5x - 18 = 180 (plugging x+y in for A, and z+5x-18 in for B, as x and y make up A and z and 5x-18 make up B)
x+x+5x-18+5x-18 = 180 (because x=y and z=5x-18)
2(x+5x-18) = 180
divide both sides by 2
x+5x-18=90
6x-18=90
add 18 to both sides
6x=108
divide both sides by 6
x = 18
