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Savatey [412]
3 years ago
7

Two tailors, Valentina and Laura, sit down to do some embroidery. Valentina can embroider 2 shirts per hour, and Laura can get t

hrough 3 shirts per hour. In addition, the tailors had previously finished some shirts. Valentina has already completed 15 shirts, and Laura has completed 11 shirts. Valentina and Laura decide to take a break when they have finished the same total number of shirts. How many shirts, in total, will each tailor have finished? How long will that take?
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =23

Total number of shirts finished by Laura =23

Step-by-step explanation:

Suppose that Valentina and Laura finished the same total number of shirts in t hours.

Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.

Total number of shirts finished by Valentina =2t+15

Laura can get through 3 shirts per hour and Laura has completed 11 shirts.

Total number of shirts finished by Laura =3t+11

Therefore,

2t+15=3t+11\\3t-2t=15-11\\t=4

So,

Valentina and Laura finished the same total number of shirts in 4 hours.

Total number of shirts finished by Valentina =2(4)+15=8+15=23

Total number of shirts finished by Laura =3(4)+11=12+11=23

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1) 12 * (x + y) = 168; -> x + y = 14;

2)  14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

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3 years ago
WILL GIVE A BRAINLEST !!!!
givi [52]

Answer: The correct option is second, i.e., x>0.

Explanation:

As we know that the domain is the set of all possible inputs. If function is defined as, f(x) then all possible value of x for which the function f(x) is defined is called domain.

In a graph the domain is defined on the x axis and the range of the function is defined on y-axis.

In the given graph the function is defined from x=0 to x=\infty because for x\leq 0 the graph is not defined. It means for x\leq 0 the function is not defined.

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3 years ago
The perimeter of a rectangle is 36m. If its length is increased by 1m and the width is increased by 2m, its area will increase b
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Answer:

  80 m^2

Step-by-step explanation:

The given information lets you write two equations involving length (x) and width (y).

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The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.

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The area of the original rectangle is xy = 10·8 = 80 m^2.

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