0.1, guessing they mean largest in value
The cost of small box of oranges is $7.
The cost of large box of oranges is $13.
<u>Step-by-step explanation:</u>
It is given that,
3 small boxes of oranges and 14 large boxes of oranges for a total of $203.
11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Let us take,
- The cost of small box of oranges = x
- The cost of large box of oranges = y
<u>The system of equations are framed as :</u>
3x + 14y = 203 ---------(1)
11x + 11y = 220 ---------(2)
<u>To solve these equations for x and y values :</u>
Multiply equation (1) by 11 and equation (2) by 3
Subtract eq(2) from eq(1),
33x + 154y = 2233
- <u>(33x + 33y = 660) </u>
<u> 121 y = 1573 </u>
⇒ y = 1573 / 121
⇒ y = 13
∴ The cost of large box of oranges is $13.
Substitute y=13 in the eq(1),
⇒ 3x + 14(13) = 203
⇒ 3x + 182 = 203
⇒ 3x = 203 - 182
⇒ 3x = 21
⇒ x = 21 / 3
⇒ x = 7
∴ The cost of small box of oranges is $7.
<u />
Answer:
The final interior angle = 124°
Step-by-step explanation:
A heptagon has 7 sides. The sum of the interior angles formula:
The sum of the interior angles = (n - 2)180 where n = number of sides.
The sum of the interior angles= (7 - 2)180° = 900°
Six interior angles = 776°.
The final interior angle + six interior angle = 900°
The final interior angle + 776° = 900°
The final interior angle = 900° - 776°
The final interior angle = 124°
Answer: -3x + 4, (2,-2)
Step-by-step explanation:
First, you want to get y alone on one side.
3x + y = 4
-4 -4 subtract 4 to get it on the left side.
-y -y subtract y to get it alone on the right side.
Your'e left with 3x - 4 = -y divide the whole equation by -1 do get a pos y
You then have y = -3x + 4. That's the first part of your answer.
To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.
-2x + 5(-3x+4) =-14 distribute the 5... -2x - 15x +20 = -14
add your like terms ( x and x) -17x + 20 = -14
Isolate your x by subtracting the 20, both sides -20 -20
-17x = -34 divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.
