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Murljashka [212]
2 years ago
13

Sam is at the garden center and wants to buy a tree, shrug, and a set of perennial flowers. Since it is at the end of the season

, the store does not have a lot to choose from. There were only 4 kinds of trees and 6 kinds of shrubs. How many different perennial flowers are there if Sam has a total of 168 choices?
A.) 6

B.) 7

C.) 36

D.) 158
Mathematics
1 answer:
bezimeni [28]2 years ago
4 0
X = number of flower choices

We have 4 times of trees and 6 kinds of shrubs and x kinds of flowers

Overall, we'll have 4*6*x = 24*x different ways to pick three items (one per type). 

Set this expression equal to 168 and solve for x

24*x = 168
24*x/24 = 168/24
x = 7

Answer: B) 7
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<img src="https://tex.z-dn.net/?f=4x%20%7B%7D%5E%7B2%7D%20%20%2B%2020x%20%2B%2025" id="TexFormula1" title="4x {}^{2} + 20x + 25
BigorU [14]

\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's Solve ~

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 20x + 25

\qquad \sf  \dashrightarrow \: 4 {x}^{2}  + 10x + 10x + 25

\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)

\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2}

or

\sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 }

\sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²}

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

\sf{\qquad \sf  \dashrightarrow \: (2x + 5)²}

I hope it was helpful ~

3 0
2 years ago
Can somebody help me with this? Thank you
melomori [17]

Answer:

x≥1 or x≤−3

Step-by-step explanation:

x+1≥2  possibility 1

x+1−1≥2−1  Subtract 1 from both sides

x≥1

x+1≤−2  Possibility 2

x+1−1≤−2−1  Subtract 1 from both sides

x≤−3

4 0
2 years ago
4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the
Stels [109]

Using geometric sequence concepts, it is found that:

a) The rule is: P_n = 750000(0.5)^{n-1}.

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

a_1 = 750000, q = 0.5.

Hence the nth term of the sequence is given by:

P_n = 750000(0.5)^{n-1}

More can be learned about geometric sequence concepts at brainly.com/question/11847927

#SPJ1

4 0
1 year ago
50 POINTS!!
elena55 [62]

Answer:

3/8

Step-by-step explanation:

3/4 divided by 2> 3/4 divided by 2/1>3*1=3 4*2=8 so therefore your answer is 3/8

6 0
3 years ago
Read 2 more answers
Jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?
mash [69]

jonas wants to mail a package that weighs 4.2 kilogram. how much dose the package weigh in pounds?​

we know that

1 kg = 2.20462262185 lb

1 kg=2.2 lb

we have

4.2 kg

Convert to pounds

so

4.2 kg=4.2*(2.2)=9.24 pounds

therefore

the answer is 9.24 pounds

7 0
1 year ago
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