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ValentinkaMS [17]
3 years ago
5

If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Jo

anne and Angela to paint the room working together? Round to the nearest tenth.
Mathematics
1 answer:
Gala2k [10]3 years ago
7 0

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets \frac{1}{3} of the job done.

If A can paint a room in 4 hours, in 1 hour she gets \frac{1}{4} of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

\frac{1}{3}+\frac{1}{4}=\frac{1}{x} where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

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4 people share a gallon of tea they each get 1/8 of the gallon how much do each of them get?
77julia77 [94]

Answer:

2/8

Step-by-step explanation:

2/8 x 4 is 8. That means each person gets 2/8 of the gallon.

4 0
3 years ago
A study of 25 graduates of 4-year public colleges revealed the mean amount owed by a student in student loans was $55,051. The s
Harman [31]

Answer:

Step 1

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

Step 2

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

The data represent amount.

A 90% confidence interval for the population mean is,

First, compute t-critical value then find confidence interval.

The t critical value for the 90% confidence interval is,

The sample size is small and two-tailed test. Look in the column headed and the row headed in the t distribution table by using degree of freedom is,

The t critical value for the 90% confidence interval is 1.711.

A 90% confidence interval for the population mean is .

It is reasonable to conclude that mean of the population is actually $55000 due to a 90% confidence intrerval for population mean is between $52461.23 and $57640.77 does include $55000.

5 0
2 years ago
1. Solve the following proportion x/2 = 8/9
Ivanshal [37]
X/2=8/9   | *2
x=16/9≈ 1,78

2. 1 $.........1,09 Euro
      x$...........157 Euro

x=157*1/1,09≈144,04 $
5 0
3 years ago
If x^2-13x+42=(x+A)(x+B), then find the value of 3A-B
tigry1 [53]

Answer:

- 11 or - 15

Step-by-step explanation:

Factorise

x² - 13x + 42

Consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (- 13)

The factors are - 6 and - 7, since

- 6 × - 7 = + 42 and - 6 - 7 = - 13, thus

x² - 13x + 42 = (x - 6)(x - 7)

compare to (x + A)(x + B)

A = - 6, B = - 7

thus 3A - B = 3(- 6) - (- 7) = - 18 + 7 = - 11

The factors may also be expressed as (x - 7)(x - 6)

with A = - 7 and B = - 6, then

3A - B = 3(- 7) - (- 6) = - 21 + 6 = - 15

5 0
3 years ago
If 8=2, 7=31 and ead=102,find 9
g100num [7]
M<7 + m<8 + m<9 = m<EAD

31 + 22 + m<9 = 102

53 + m<9 = 102

m<9 = 49
3 0
4 years ago
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