Ask question

Ask question

All categories

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?

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 $=3(4)+11=12+11=23$

You might be interested in

Hi waht is m⁵×m⁴ in algebra maths

crimeas [40]

Answer:

m⁹

Step-by-step explanation:

In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,

$m^{5} \times m^{4} = m^{5+4} = m^{9}$

5 0

3 years ago

Bethany Christian school performed a play both on Thursday and Saturday nights. three times as many people attended on Saturday

sergeinik [125]

Answer:

816 people attended on Saturday night.

Step-by-step explanation:

8 0

3 years ago

What is 54t x 65f please help me on this question

ryzh [129]

I think it is 3510ft

7 0

3 years ago

Privacy issues: In a Fall 2014 Pew Research survey, 25% of American adults say they are "not at all confident" that the records

kupik [55]

There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if 25% of Americans are not at all confident this year. Answer:

Step-by-step explanation:

The null hypothesis is “the percentage of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure is 25%. If this is true, there is a 2.3% chance that a sample of 300 American adults will have 30% or more who say they are not at all confident.

6 0

3 years ago

As part of a new advertising campaign, a beverage company wants to increase the dimensions of their cans by a multiple of 1.12.

olga_2 [115]

Answer:

The new can can hold upto volume of 476.69 cubic centimeters.

Step-by-step explanation:

Diameter of the can = d = 6 cm

Radius of the can = r = 0.5d = 0.5 × 6 cm = 3 cm

Height of the can = h = 12 cm

Company wants to increase the dimensions of their cans by a multiple of 1.12. So, the new dimension will be:

r'= 3 cm × 1.12 = 3.36 cm

h' = 12 cm × 1.12 =13.44 cm

Volume of the = can = V

Volume of a cylinder = $\pi r^2h$

$V=\pi r'^2h'$

$=3.14\times (3.36 cm)^2\times 13.44 cm=476.6808 cm^3\approx 476.68 cm^3$

The new can can hold upto volume of 476.69 cubic centimeters.

3 0

4 years ago