How do i do this problem 13×1/2

a worker A finishes a project on his own in 12 days. the worker completes the same work alone in 16 days. the two workers starte

ankoles [38]

Answer:

<em>Worker B needs 9 days to finish the rest of the work</em>

Step-by-step explanation:

<u>Proportions</u>

Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.

Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

$\frac{1}{12}+\frac{1}{16}=\frac{7}{48}$

After 3 days they have completed:

$3*\frac{7}{48}=\frac{7}{16}$

parts of the project, this means it still remains:

$1-\frac{7}{16}=\frac{9}{16}$

parts of the project and it is done by B alone. Since B does $\frac{1}{16}$ per day, he now takes

$\displaystyle \frac{\frac{9}{16}}{\frac{1}{16}}=9$

days to complete the project.

Worker B needs 9 days to finish the rest of the work

4 0

3 years ago

A zoo has a circular pool for its seals. The diameter of the pool is 32 feet. Formulas Hide calculator ⇐Clear789/456*123-0.=+ Se

sveta [45]

9.85 square feet. 32/2=16 16*3.14^2=9.85

8 0

3 years ago

Which would be the best method to use to solve the following equations? Explain your reasoning.

o-na [289]

A. square root property

$3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}$

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

$x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3$

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

$x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7$

same reason personal preference

D- Quadratic

$x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402$

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal

7 0

2 years ago

The width of a rectangle is 7 inches less than its length. The area of the rectangle is 120 square inches. Solve for the dimensi

lukranit [14]

A) w + 7 = L
B) w * L = 120
A) w = L -7 then substituting this into B)
(L-7) * L = 120
L² -7L = 120
L² -7L -120 = 0
Solving by quadratic Formula:
L1 = 15
L2 = -8

If length = 15, then width = 8

4 0

2 years ago

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Andrew had $50 and saved x dollars in a month. Anne had $60 and saved half as many dollars in a month as Andrew. How many did An

Amanda [17]

Answer:

$20

Step-by-step explanation:

Set up an equation where x is the number of dollars Andrew saved in a month:

50 + x = 60 + 0.5x

Solve for x:

50 + 0.5x = 60

0.5x = 10

x = 20

So, Andrew saved $20

6 0

2 years ago

Read 2 more answers