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geniusboy [140]
2 years ago
12

Jessica can swim a lap in 29 2/5 seconds, Marta can swim a lap in 28.7 seconds, Marta can swim a lap in 28.7 seconds, how much f

aster can Marta swim a lap than Jessica.
Mathematics
1 answer:
ivann1987 [24]2 years ago
6 0

Answer:

Marta can swim a lap 0.7 or seconds faster than Jessica

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A company can send a maximum of 40 workers to complete a
rewona [7]

Answer:

20

Step-by-step explanation:

For the sake of the problem, let's make female workers "x" and male workers "y".

x+y<40       This equation shows that the total number of workers has a max of 40.

30x+20y<1,000      This equation shows that the total cost the manager pays ($30 to each woman, $20 to each man) has a max of $1,000.  

Now you can solve for x and y.

X+y<40

-y       -y

X<-y+40

Substitute -y+40 in for X in the second equation

30(-y+40)+20y<1,000      

-30y+1200+20y<1,000         Distribute

-10y+1,200<1,000      Combine like terms

-10y<-200                   Subtract 1,200

y>20                Divide by -10; flip the sign

Since y>20, and y=male workers, you now know that the minimum

number of male workers he should send is 20

4 0
2 years ago
Find the solution 4x&lt;8
Nataliya [291]

x=1

...................

7 0
2 years ago
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 3 small boxes has a t
-BARSIC- [3]

Answer:

The weight of large and small box are 18.25 kg and 13.25 kg respectively.

Step-by-step explanation:

Let the weight of large and small box are x and y respectively.

It is given that a delivery of 5 large boxes and 3 small boxes has a total weight of 131 kilograms.

5x+3y=131                .... (1)

A delivery of 2 large boxes and 6 small boxes has a total weight of 116 kilograms.

2x+6y=116                .... (2)

On solving (1) and (2) using graphing calculator, we get

x=18.25

y=13.25

Therefore the weight of large and small box are 18.25 kg and 13.25 kg respectively.

4 0
3 years ago
Read 2 more answers
How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160
Ipatiy [6.2K]

Answer:

<h2>C. <em>20,160</em></h2>

Step-by-step explanation:

This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.

nPr = n!/(n-r)!

Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.

8P6 = 8!/(8-6)!

8P6 = 8!/2!

8P6 = 8*7*6*5*4*3*2!/2!

8P6 = 8*7*6*5*4*3

8P6 = 56*360

8P6 = 20,160

<em>Hence this can be done in 20,160 number of ways</em>

5 0
3 years ago
A bag contains 5 2/5kg of sand. The bag has a hole in it. Every 10 minutes, 1 2/3kg of sand escapes from the bag. After 20 minut
fenix001 [56]

Quantify of sand in a bag =

= \: 5 \frac{2}{5}  \ \:

=  \frac{(5 \times 5 +2) }{5}

=  \frac{27}{5}  \: kg

Quantity of sand that escapes in every 10 minutes :-

= 1 \frac{2}{3} kg

Quantity of sand that will escape in 20 minutes :-

= 1 \frac{2}{3}  \times 2

=  \frac{(3 \times 1 + 2)}{3}  \times 2

=  \frac{5}{3}  \times 2

=  \frac{10}{3}

Quantity of sand that will remain in the sand bag :-

=  \frac{27}{5}  -  \frac{10}{3}

=  \frac{(27 \times 3)}{15}  -  \frac{(10 \times 5)}{15}

=  \frac{81}{15}  -  \frac{50}{15}

=  \frac{31}{15}

= 2 \frac{1}{5}  \: kg

therefore \:  ,  \: 2 \frac{1}{5}  \: kg \: sand \: is \: left \: in \: the \: bag \: .

3 0
3 years ago
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