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Usimov [2.4K]
3 years ago
13

Darcy ordered 18 boxes of red balloons and 12 boxes of blue balloons for a party.She ordered a total of 240 balloons. How many b

alloons are in each box?
Mathematics
1 answer:
olga2289 [7]3 years ago
8 0
Answer: 8 balloons per box
8x18 + 8x12 = 144+96 = 240
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The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 6 inches. If the length must
love history [14]
H = x, L = 1.5 x;  
L + W + H = 6
x + 1.5 x + W = 6
W = 6 - 2.5 x
Dimensions of the camera in terms of x:
x,  1.5 x,  6 - 2.5 x.
V = L x W x H
V = x * 1.5 x * ( 6 - 2.5 x ) = 9 x² - 3.75 x³
V ` = 18 x - 11.25 x² ( V max is when V` = 0 )
18 x - 11.25 x² = 0
x ( 18 - 11.25 x ) = 0
11.25 x = 18
x = 18 : 11.25
x = 1.6
The dimensions are:
L = 2.4
W = 2.0
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4 0
3 years ago
Help!! help!! help!! help!! help!! help!! help!! help!! help!!
oksian1 [2.3K]

Answer:

<em>(8.21, -20.79)</em>

Step-by-step explanation:

Given the simultaneous equation;

\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29

From 2;

a = 29 + b ....3

Substitute 3 into 1;

\frac{29+b}{b} - \frac{b}{2}  = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

7 0
2 years ago
Samantha wants to redecorate her room. She would like to replace the carpet and needs
CaHeK987 [17]
There are No pictures
6 0
2 years ago
Read 2 more answers
y : (<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B18%5C%5C%7D" id="TexFormula1" title="\frac{3}{18\\}" alt="\frac{3}{18\\}
poizon [28]

Answer:

whats the given?? what you need I don't understand

5 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Cboxed%7B%5Csf%202x%2B31%3D5%7D" id="TexFormula1" title="\boxed{\sf 2x+31=5}" alt="\boxed{\s
AleksAgata [21]

2x + 31 = 5

2x = 5 - 31

2x = -26

x = -26/2

x = -13.

_______

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

3 0
2 years ago
Read 2 more answers
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