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3 years ago

A florist has 30 carnations and 42 roses. He wants to put the flowers in vases so that each vase has the same number of flowers

Mathematics

1 answer:

Nesterboy [21]3 years ago

4 0

Note that

30=2·3·5;
42=2·3·7.

Find the grearest common factor GCF(30,42). You can see that numbers 30 and 42 have common factors 2 and 3, then

$GCF(30,42)=2\cdot 3=6.$

This gives that the greatest number of identical vases florist can fill is 6. Each vase will contain

$30:6=5$ carnations;
$42:6=7$ roses.

Therefore, in each vase will be 12 flowers (5 carnations and 7 roses).

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Based on his past record, Luke, an archer for a college archeny practice L auke wesent the number on his past record, Luke, an a

polet [3.4K]

Answer:

Option (A) 0.40951

Step-by-step explanation:

We are given the following information in the question:

P(target) = 0.90

Let the random variable X represent the number of times he hits ring of the target with a shot of the arrow.

The probability distribution of X is

x: 0 1 2 3 4 5

P(x): 0.00001 0.00045 0.00810 0.07290 0.32805 0.59049

The mean of discrete probability distribution is given by:

$\mu = \displaystyle\sum x_iP(x_i)\\\\= 0(0.00001) + 1(0.00045) + 2(0.00810) + 3(0.07290) + 4(0.32805) + 5( 0.59049)\\= 4.5$

Now, we have to evaluate

$P(x$

Option (A) 0.40951 t is the probability that the number of times Luke will hit the inner ring of the target out of the 5 attempts is less than the mean of X.

4 0

3 years ago

Which expression is equivalent to -3(4x-2)-2x

MatroZZZ [7]

Answer:

-14x+6

Step-by-step explanation:

-3(4x-2)-2x

-12x+6-2x

-12x-2x+6

-14x+6

4 0

2 years ago

Find the square roots of the following numbers. Give the steps correctly.

Novay_Z [31]

Answer:

the sqare root of 19.9 is 4.46094160464

3 0

3 years ago

Kinda want to cry right now.. Someone PLEASE help me.. I know there is someone out there smart enough.... 25 points and Brainlie

Svetlanka [38]

Answer:

a) Infinite solutions

b) No solutions

Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

If the graphs are the exact same line, there are infinite solutions.

For a):

Change the first equation into a linear one.

2x+3y=6

3y=-2x+6

$y=-\frac{2}{3} x+2$

Change the second equation into a linear one.

4x+6y=12
6y=-4x+12
$y=-\frac{2}{3} x+2$

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.

For b)

They are already in linear form so hurray.

$y=\frac{1}{5} x+2\\y=\frac{1}{5} x+10\\$

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.

5 0

3 years ago

Which equation represents the function graphed on the coordinate plane?????

Y_Kistochka [10]

Since you haven't provided the graph, I'll explain each one and you choose the one suiting your given.

The parent modulus function is:

g(x) = |x|

It is centered at the origin and opens upwards.

A coefficient inside the modulus |x+k| means that the function is shifted along the x-axis

If "k" is positive, the shift will be to the left. If "k" is negative, the shift will be to the right.

A coefficient outside the modulus |x| + h means that the function is shifted along the y-axis

If "h" is positive, the shift will be upwards. If "h" is negative, the shift will be downwards.

Now, let's check each of the options:

g(x) = |x+4| - 2 :

This function is shifted 4 units to the left and 2 units down. It will be centered at (-4,-2). Check the blue graph in the attachment.

g(x) = |x-4| - 2 :

This function is shifted 4 units to the right and 2 units down. It will be centered at (4,-2). Check the black graph in the attachment.

g(x) = |x-2| - 4 :

This function is shifted 2 units to the right and 4 units down. It will be centered at (2,-4). Check the red graph in the attachment.

g(x) = |x-2| + 4 :

This function is shifted 2 units to the right and 4 units up. It will be centered at (2,4). Check the green graph in the attachment.

All 4 graphs are shown in the attached picture.

Hope this helps :)

3 0

2 years ago

Read 2 more answers