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mylen [45]
3 years ago
14

120 Arrangements + 85 Arrangements + 46 Arrangements equals how many flower arrangements

Mathematics
1 answer:
Masteriza [31]3 years ago
4 0
120
 85 
 46
 251 so it would be 251 arrangements 
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Can someone help me please with this question?
lubasha [3.4K]
\frac{10}{7}=\frac{3}{x}
so x=2.1
8 0
3 years ago
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Find the vector projection of B onto A if A = 5i + 11j – 2k,B = 4i + 7k​
valkas [14]

Answer:

\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\

Step-by-step explanation:

Given A = 5i + 11j – 2k and B = 4i + 7k​, the vector projection of B unto a is expressed as proj_ab = \dfrac{b.a}{||a||^2} * a

b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)

note that i.i = j.j = k.k  =1

b.a = 5(4)+11(0)-2(7)

b.a = 20-14

b.a = 6

||a|| = √5²+11²+(-2)²

||a|| = √25+121+4

||a|| = √130

square both sides

||a||² = (√130)

||a||²  = 130

proj_ab = \dfrac{6}{130} * (5i+11j-2k)\\\\proj_ab = \frac{30}{130} i+\frac{11}{130} j-\frac{12}{130} k\\\\proj_ab = \frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\\\

<em>Hence the projection of b unto a is expressed as </em>\frac{3}{13} i+\frac{11}{130} j-\frac{6}{65} k\\<em></em>

7 0
4 years ago
Use a system of equations to solve this problem.
Grace [21]
X = amount of seeds.

y = amount of dried fruits.

we know the snack mix contains both, and we know is 10oz, thus x + y = 10, whatever ounces "x" and "y" are.

how much is it for "x" ounces if each one costs $1.5?  well is just 1.5*x or 1.5x.

how much is it for "y" ounces if each one costs $2.5?  well is just 2.5*x or 2.5x.

the mix contains 10 ounces, each of which costs $2.2 each, how much will it be then for 10 oz?  well, is just 10 * 2.2, or $22.

since the whole 10 oz snack mix costs 22 bucks, then 1.5x + 2.5y = 22.

\bf \begin{cases}&#10;x+y=10\implies \boxed{y}=10-x\\&#10;1.5x+2.5y=22\\&#10;-------------\\&#10;1.5x+2.5\left( \boxed{10-x} \right)=22&#10;\end{cases}&#10;\\\\\\&#10;1.5x+25-2.5x=22\implies -x+25=22\implies 3=x

how many ounces of dried fruit is there anyway?  well, y = 10 - x.
4 0
3 years ago
3(x+4)=16 solve for x
MAXImum [283]
Hope you get it
X=4/3

6 0
3 years ago
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At the Planetarium, tickets cost $9 for adults and $7 for kids under 12. What would be the total cost for 2 adult tickets and 16
KATRIN_1 [288]

$9 adults

$7 kids

9×2=18 ($) parents/adults

16×7=112 ($) kids

I don't understand the last question

6 0
2 years ago
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