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qaws [65]
3 years ago
5

You are making necklaces for your friends. You have 54 blue beads and 28 red beads. Each friend will recevie an identical neckla

ce, and all beads must be used.
What is the greast number of friends who can receive a necklace? Explain your reasoning.

How many of each color bead will each friend recevive on the necklace? Explain your reasoning
Mathematics
1 answer:
lina2011 [118]3 years ago
7 0

This is actually a bit confusing but I think you could only make a necklace for 2 people. Each person will recieve 27 blue beads, and 9 red beads. Hope this helps!

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What is the vertex of g(x) = –3x2 + 18x + 2?
blsea [12.9K]

Answer:

(3,29)

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is x=\frac{-b}{2a}

We have the function g(x)=-3x^2+18x+2

From this function, we can find that

a=-3\\b=18\\c=2

We can plug in our know values into the formula to get

x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3

Then we can plug in our x-value to find the y-value of the vertex

g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29

This means that the vertex would be (3,29)

6 0
3 years ago
Scientists have discovered a vaccine for a debilitating disease. This year there were 570,000 reported new cases of the disease
Ket [755]

Answer: There are approximately 853827 new cases in 6 years.

Step-by-step explanation:

Since we have given that

Initial population = 570000

Rate at which population decreases is given by

\frac{2}{3}

Now,

First year =570000

Second year is given by

570000\times (\frac{1}{3})

Third year is given by

570000(\frac{1}{3})^2

so, there is common ratio ,

it becomes geometric progression, as there is exponential decline.

so,

570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6

a=570000

common ratio is given by

r=\frac{a_2}{a_1}=\frac{1}{3}

number of terms = 6

Sum of terms will be given by

S_n=\frac{a(1-r^n)}{(1-r)}

We'll put this value in this formula,

S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16

So, there are approximately 853827 new cases in 6 years.

6 0
2 years ago
How do you work out (7x+3)(7x-3)
spin [16.1K]

We can solve this using the FOIL method.

= (7x + 3)(7x - 3)

= (7x * 7x) + (7x * -3) + (3 * 7x) + (3 * -3)

= 49x - 21x + 21x - 9

= 49x - 9

Hope This Helped! Good Luck!

7 0
2 years ago
1-07 What is the length of the marked portion of each line segment? Copy the
VikaD [51]

Answer:

A. 25 B. 45 C. 30

Step-by-step explanation:

A.

75 ÷ 3 = 25

25 × 1 = 25

B.

75 ÷ 5 = 15

15 × 3 = 45

C.

50 ÷ 5 = 10

10 × 3 = 30

5 0
2 years ago
-x - 11 and the opposite of -11
likoan [24]

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

6 0
2 years ago
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