Answer:
70 standard boxes, 40 deluxe boxes
Step-by-step explanation:
standard: x
deluxe: y
x + y = 110
7x + 11y = 930
Multiply the first equation by 7 and subtract.
7x + 7y = 770
-(7x + 11y = 930)
You get -4y = -160
y = 40
Substitute y into the first equation.
x + 40 = 110
x = 70
Answer:
46%
Step-by-step explanation:
You subtract the old by new then devide by the old and multiply by 100%
Answer:
14/1.8 = x/4
Step-by-step explanation:
Using similar triangles,
height of man/length of man's shadow = height of tree/length of tree's shadow
1.8/4 = x/14
x/14 = 1.8/4
If we cross-multiply, we have
1.8 × 14 = x × 4
dividing both sides by 4 and 1.8,we have
14/4 = x/1.8
x/1.8 = 14/4
So, the two expressions we have are
x/14 = 1.8/4 and x/1.8 = 14/4.
So, the answer is 14/1.8 = x/4 since the product 1.8 × 14 = x × 4 cannot be expressed in the given ratio.
Answer:
a = c/(d - r)
Step-by-step explanation:
Multiply both sides by a
(c/a)a = (d - r)*a Notice how this is written. You need to introduce brackets on the right because both d and r are multiplied by a.
c = (d - r)*a
Divide both sides by (d - r)
c/(d - r) = a*(d - r)/(d - r)
c/(d - r) = a
Answer: 10) 615° & -105°
12) -440° & 280°
<u>Step-by-step explanation:</u>
Coterminal means it is in the exact same spot on the Unit Circle but one <em>or more </em>rotations clockwise <em>or counterclockwise.</em>
Since one rotation = 360°, add or subtract that from the given angle until you get a positive <em>or negative</em> number.
10) 255° + 360° = 615° (this is a POSITIVE coterminal angle to 255°)
255° - 360° = -105° (this is a Negative coterminal angle to 255°)
12) -800° + 360° = -440° (this is a Negative coterminal angle to -800°)
-440° + 360° = -80° (this is a Negative coterminal angle to -800°)
-80° + 360° = 280° (this is a POSITIVE coterminal angle to -800°)