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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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Please help me! 10 pts and brainliest! please
luda_lava [24]

Answer:

B is correct

Step-by-step explanation:

i think

7 0
2 years ago
What is the 6th term of the geometric sequence where a1 = -4096 and a4 = 64?
Akimi4 [234]
\bf \begin{array}{llccll}
term&value\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
a_1&-4096\\
a_2&-4096r\\
a_3&-4096rr\\
a_4&-4096rrr\\
&-4096r^3\\
&64
\end{array}\implies -4096r^3=64
\\\\\\
r^3=\cfrac{64}{-4096}\implies r^3=-\cfrac{1}{64}\implies r=\sqrt[3]{-\cfrac{1}{64}}
\\\\\\
r=\cfrac{\sqrt[3]{-1}}{\sqrt[3]{64}}\implies \boxed{r=\cfrac{-1}{4}}\\\\
-------------------------------

\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
r=-\frac{1}{4}\\
a_1=-4096\\
n=6
\end{cases}
\\\\\\
a_6=-4096\left( -\frac{1}{4} \right)^{6-1}\implies a_6=-4^6\left( -\frac{1}{4} \right)^5
4 0
3 years ago
Read 2 more answers
Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =
GenaCL600 [577]

Answer:

The correct option is:

h = 1, k = 16

Step-by-step explanation:

y=4x^2-8x+20 =0

It is a quadratic formula in standard form:

ax^2+bx+c

where a = 4 , b = -8 and c=20

The vertex form is:

a(x − h)2 + k = 0

h is the axis of symmetry and (h,k) is the vertex.

Calculate h according to the following formula:

h = -b/2a

h= -(-8)/2(4)

h = 8/8

h = 1

Substitute k for y and insert the value of h for x in the standard form:

ax^2+bx+c

k = 4(1)^2+(-8)(1)+20

k = 4-8+20

k=-4+20

k = 16

Thus the correct option is h=1, k=16....

8 0
3 years ago
Use a proportion if two cassettes cost $14.50 How much will 15 cost
aev [14]
Cost/(number of cassettes) = $14.50/2 = x/15

Multiply by 15 to solve
   15*($14.50/2) = x = $108.75

15 cassettes will cost $108.75.
8 0
3 years ago
The height of most tigers are about 4.8 feet. What mixed number represents the average height of a tiger?
EleoNora [17]
4 4/5. Check the linked photo for some explanation.

7 0
2 years ago
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