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3 years ago

7

a vase has 6 flowers in it. there are 3 roses, 1/3 are peonies, and the rest are lilies. what fraction of the flowers are lilies

?

2 answers:

Readme [11.4K]3 years ago

7 0

2/3 are lilies. this is because 1/3 are peonies. this is only logical since the 2/3 would fill the remainder

hope this helps

Rudik [331]3 years ago

4 0

Hi there!

We can start off by taking out some key information from this problem.

- 6 flowers in the vase.
- 3 are roses. (3/6)
- 2 are peonies. (2/6)
- 1 is a Lily. (1/6)

By converting all of the flowers to have a common denominator we can clearly see that 1/6 of the flowers are lilies.

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a pet shop sells a 6 can multipack of dog food for £3.18 and a 15 can multipack for £7.80. which multipack is the best value for

Annette [7]

Answer:

the 15 multi pack

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the<br> function with its graph

MA_775_DIABLO [31]

Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

$f(x)=(x-2)^{2}+1$

45)

The function g(x) is given by:

$g(x)=f(x-1)$

using f(x) we can find f(x-1)

$g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1$

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

$g(x)'=2(x-3)$

$2(x-3)=0$

$x=3$

Puting it on g(x) we will get y value.

$y=g(3)=(3-3)^{2}+1$

$y=g(3)=1$

<u>Then, the minimum point of this function is (3,1) and it corresponds to (A)</u>

46)

Let's use the same method here.

$g(x)=f(x+2)$

$g(x)=((x+2)-2)^{2}+1$

$g(x)=(x)^{2}+1$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2x$

$0=2x$

$x=0$

Evaluatinf g(x) at this value of x we have:

$g(0)=(x)^{2}+1$

$g(0)=1$

<u>Then, the minimum point of this function is (0,1) and it corresponds to (C)</u>

47)

Let's use the same method here.

$g(x)=f(x)+2$

$g(x)=(x-2)^{2}+1+2$

$g(x)=(x-2)^{2}+3$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}+3$

$g(2)=3$

<u>Then, the minimum point of this function is (2,3) and it corresponds to (B)</u>

48)

Let's use the same method here.

$g(x)=f(x)-3$

$g(x)=(x-2)^{2}+1-3$

$g(x)=(x-2)^{2}-2$

Let's find the first derivative and equal to zero to find x and y minimum value.

$g'(x)=2(x-2)$

$0=2(x-2)$

$x=2$

Evaluatinf g(x) at this value of x we have:

$g(2)=(2-2)^{2}-2$

$g(2)=-2$

<u>Then, the minimum point of this function is (2,-2) and it corresponds to (D)</u>

<u />

I hope it helps you!

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8 0

3 years ago

What should be added 0.7 to get 1

sveticcg [70]

Answer:

0.3

Step-by-step explanation:

x is the number to be added to 0.7 to have a sum of 1.

$0.7 + x = 1$

$x = 1 - 0.7$

$x = 0.3$

5 0

3 years ago

Read 2 more answers

Find the equation of this line.<br> Acellus

aalyn [17]

Answer:

Step-by-step explanation:

two points on the line are (-3,-2) and (5,4)

slope=(4+2)/(5+3)=6/8=3/4

eq. of line is

y+2=3/4 (x+3)

4y+8=3x+9

4y=3x+1

y=3/4 x+1/4

8 0

2 years ago

The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of

alisha [4.7K]

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

6 0

3 years ago