Answer:
<em>x = 59</em>
Step-by-step explanation:
<u>Equations</u>
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:
x + x + 2x + 3 + 2x + 3 = 360
Simplifying:
6x + 6 = 360
Subtracting 6:
6x = 354
Dividing by 6:
x = 354/6
x = 59
Answer:
5 shirts must be sold.
Step-by-step explanation:
First, set up the equation. Each shirt (x) is sold for $16:
For every amount (y) for x: (y)(x) = (16)(y)
The cost is $4, with the setup fee as $60.
(16)(y) = (4)(y) + 60
16y = 4y + 60
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.
16y (-4y) = 4y (-4y) + 60
16y - 4y = 60
12y = 60
Next, isolate the variable (y). Divide 12 from both sides.
(12y)/12 = (60)/12
y = 60/12
y = 5
5 shirts must be sold.
To check, plug in 5 for y in the equation:
16y = 4y + 60
16(5) = 4(5) + 60
Simplify.
16(5) = 4(5) + 60
80 = 4(5) + 60
80 = 20 + 60
80 = 80 (True).
~
Answer:
15 dozens of cakes
Step-by-step explanation:
It is given that Jeanna is making cupcakes for her family and she normally makes 2 dozens of red velvet cakes and 3 dozens of gingerbread spice cakes. But as everybody is staying at home, Jeanna wants to increase the standard amount by 3 for enough cakes.
So,
2 dozens of velvet cakes, i.e.
2 x 12 = 24 red velvet cakes
Increasing this amount by 3 times will give us 24 x 3 = 72 red velvet cakes.
Similarly,
3 dozens of gingerbread spice cakes, i.e.
3 x 12 = 36 gingerbread spice cakes
Increasing this amount by 3 times will give us 36 x 3 = 108 gingerbread spice cakes.
Therefore the total number of cakes is = 72 + 108
= 180 cakes.
We know 1 dozen = 12
Therefore dividing 180 cakes by 12, we get

= 15 dozen cakes.
Therefore, now Jeanna will have to make 15 dozens of cupcakes for all.
Answer:
9.31
Step-by-step explanation:
Distance = 3 ⅘ x 2.45
3 ⅘ = 3.8
3.8 x 2.45 = 9.31