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3 years ago

5

Is 20 qtssame or less than 10 gallons

2 answers:

Marianna [84]3 years ago

6 0

20 quarts is less than 10 gallons because there are 4 quarts to a gallon which make 20 quarts 5 gallons for it to be 10 gallons it would have to be 40 quarts

Usimov [2.4K]3 years ago

3 0

40 gallons would be your answer (:

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A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as

Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

$x\ge 2y$

2. A florist can make a grand arrangement in 18 minutes $=\dfrac{3}{10}$ hour, then he can make y arrangements in $\dfrac{3}{10}y$ hours.

A florist can make a simple arrangement in 10 minutes $=\dfrac{1}{6}$ hour, so he can make x arrangements in $\dfrac{1}{6}x$ hours.

The florist can work only 40 hours per week, then

$\dfrac{3}{10}y+\dfrac{1}{6}x\le 40$

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines $x=2y$ and $\dfrac{3}{10}y+\dfrac{1}{6}x=40$

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

$\$(10\cdot 126+25\cdot 63)=\$2,835$

8 0

3 years ago

Randy saving for console cost $290 he got a $50 gift card from grandma $15 each week, how many weeks until he get money?

aalyn [17]

Answer:

it will take him 16 weeks

Step-by-step explanation:

290 subtract 50 equals 240

240 divided by 15 equals 16

7 0

3 years ago

£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

<em><u>Solution:</u></em>

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

<em><u>David gets twice as much as Mark</u></em>

d = 2m ----- eqn 2

<em><u>Mark gets three times as much as Henry</u></em>

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

8 0

3 years ago

There is money to send four of nine city council members to a conference in Honolulu. All want to go, so they decide to choose t

FrozenT [24]

Answer:

126

Step-by-step explanation:

There are 9 city council members.

We have to choose 4 of them.

We have to use the combination as :

$^9C_4$

where, 9 is the population size

4 is the sample size.

Therefore, the total number of possible samples without replacement is given as :

$^9C_4=\frac{9!}{4!(9-4)!}$

$=\frac{9!}{5! \ 4!}$

$=\frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1}$

= 126

7 0

3 years ago

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kondor19780726 [428]

Divide total people by total flights:

3720/31 = 120

There was 120 people on each flight

7 0

3 years ago