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astra-53 [7]
4 years ago
10

A painter can paint 1/2 a room in 1 1/2 hours. How many of the same-sized rooms can he paint per hour?

Mathematics
1 answer:
OlgaM077 [116]4 years ago
4 0

Answer:

1/3 a room

Step-by-step explanation:

we know that

A painter can paint 1/2 a room in 1 1/2 hours

so

using proportion

Find out how many of the same-sized rooms can he paint per hour

Remember that

1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}

Let

x -----> the number of the same-sized rooms

\frac{(1/2)}{(3/2)}\frac{room}{hours} =\frac{x}{1}\frac{room}{hour}\\\\x=\frac{1}{3}\ room

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(-3,-5) slope:2 please show work!!!
STALIN [3.7K]

Answer:

y=2x+1

Step-by-step explanation:

y=mx+b

-5=2(-3)+b

-5=-6+b

1=b

Plug it in to get y=2x+1

7 0
3 years ago
100m In 9 3/5 seconds
Nostrana [21]

Answer:

Speed = 10.42 m/secs

Step-by-step explanation:

We have been given with:-

Distance = 100m

Time taken = 9\frac{3}{5} secs

1) First, we need to convert the mixed number 9\frac{3}{5} to an improper fraction.

<u>Method to convert a mixed number to an improper fraction</u>

<u>a\frac{b}{c} = \frac{c*a+b}{c}</u>

Applying the above formula, we get

9\frac{3}{5} = \frac{5*9+3}{5}

= \frac{45+3}{5}

= \frac{48}{5}

2) Now we need to convert \frac{48}{5} into a decimal by dividing 48 by 5.

We get time taken as 9.6 secs

3) We need to find the speed using the below formula:-

Speed = \frac{Distance}{Time taken}

Plugging the values of Distance and Time taken into the formula, we get

Speed = \frac{100}{9.6}

= 10.416 m/secs

4) Upon rounding it to the nearest hundredth, we get

Speed = 10.42 m/secs

4 0
3 years ago
Write the first four terms of a sequence given the recursive rule below:
777dan777 [17]

Answer:

The first four terms of the sequence is : A)   7, 17, 37, 77.

Step-by-step explanation:

The given function f(n) = 2 x  f(n − 1) + 3

Also, f(1)= 7

<u>FOR n= 2</u>

f(2) = 2 x f(2-1) + 3  = 2 x f(1)  + 3

      = (2 x 7) + 3 = 14 + 3 = 17

⇒f(2) = 17

<u>FOR n= 3</u>

f(3) = 2 x f(3-1) + 3  = 2 x f(2)  + 3

      = (2 x 17) + 3 = 34 + 3 = 37

⇒f(3) = 37

<u>FOR n= 4</u>

f(4) = 2 x f(4-1) + 3  = 2 x f(3)  + 3

      = (2 x 37) + 3 = 74 + 3 = 77

⇒f(4) =77

So, the first four terms of the sequence are 7, 17, 37, 77.

A) is the correct option.

5 0
3 years ago
Solve for x <img src="https://tex.z-dn.net/?f=%20S%3D7%20x%5E%7B2%7D%20" id="TexFormula1" title=" S=7 x^{2} " alt=" S=7 x^{2} "
il63 [147K]
S = 7x^2....divide both sides by 7
1/7s (same as s/7) = x^2...now take sqrt of both sides
(+ - ) sqrt 1/7s = x
3 0
4 years ago
an 8 by 10 inch piece of cardboard cost $ 2.00. if the cost of the cardboard is proporcional to its area what is the cost of pie
denis23 [38]

Answer: $4

The cost of an 8x10 piece is $2, and 16x20 is just 2 times that amount, multiply the cost.

7 0
3 years ago
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