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DedPeter [7]
2 years ago
11

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile

s per hour, the other moved twice as fast. How soon will the boats meet?ANSWER FAST
Mathematics
1 answer:
Ganezh [65]2 years ago
6 0

Answer: <u>3 hours and 20 minutes</u>

Step-by-step explanation:

3x + 2(3)x = 30

3x + 6x     = 30

9x             = 30

9/9           = 30/9

x = 3 1/3 hours

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Which is the equation in slope-intercept form for the line that passes through (3, 7)
quester [9]

Answer:

y =  -  \frac{5}{3} x + 12

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

y =  \frac{3}{5} x -  \frac{8}{5}

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= -  \frac{5}{3}

y =  -  \frac{5}{3} x + c

To find the value of c, substitute a coordinate.

When x=3, y=7,

7 =  -  \frac{5}{3} (3) + c

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is y =  -  \frac{5}{3} x + 12.

6 0
3 years ago
Doña Gertrudis recolecta en promedio 75 litros de leche de cabra por día y utiliza alrededor de 5 litros para hacer un kilogramo
Nimfa-mama [501]

Answer:

825 pesos a day on average

1 dozen weight = 2.4 kg

Step-by-step explanation:

In ENGLISH:

Doña Gertrudis collects on average 75 liters of goat milk per day and uses around 5 liters to make one kilogram of cheese. The cheeses he makes weigh 200 grams each and he sells them for 132 pesos a dozen. How much money do you get per day on average from the sale of your cheeses? How many kilograms does the dozen cheeses weigh?

<u>Solution:</u>

75 Liters / 5 Liters = 15

15 * 1 kg = 15 kg of cheese per day

15kg in grams is 15*1000 = 15,000 grams

Each cheese block is 200 grams, so number of blocks of cheese:

15,000/200 = 75 blocks of cheese

1 dozen (12) = 132 pesos, so 1 would be:

132/12 = 11 pesos PER BLOCK

SO, 75 blocks of cheese = 75 * 11 = <u>825 pesos (per day on average)</u>

<u></u>

Dozen cheese weight in kg,

200 grams * 12 = 2400 grams

In kg,

2400/1000 = <u>2.4 kg</u>

8 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were
Kamila [148]
If there were 5 yes votes for every 4 no votes, there were 5 yes votes for every 9 total votes, so 5/9 of the 7911 votes were yes.  5/9*7911=4395.
7 0
2 years ago
WILL MARK U AS BRAINLIEST PLZ HELP
torisob [31]

Answer:

2 inches

Step-by-step explanation:

2 x 1 = 2

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7 0
3 years ago
What is 7.25 in word form
Vikentia [17]

Answer: seven and twenty-five hundredths


Step-by-step explanation:

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6 0
3 years ago
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