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Masteriza [31]
2 years ago
6

Write a rule for each pattern. then find next three numbers in the pattern. 1,-2,4,-5,7,-8...

Mathematics
1 answer:
suter [353]2 years ago
7 0
+3, -6, +9 etc.
10, -11, 13
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It takes 54 minutes for 4 people to paint 6 walls. How many minuets does it take 6 people to paint 7 walls?
earnstyle [38]

It takes 42 minutes for 6 people to paint 7 walls

<em><u>Solution:</u></em>

It takes 54 minutes for 4 people to paint 6 walls

To find: Minutes required for 6 people to paint 7 walls

If M_1 men can do W_1 work in D_1 days working H_1 hours per day and M_2 men can do W_2 work in D_2 days working H_2 hours per day, then

\frac{M_1D_1H_1}{W_1} = \frac{M_2D_2H_2}{W_2}

M = Number of men

D = Number of days

H = Number of hours per day

W = Amount of work

Here in this sum,

<em><u>54 minutes for 4 people to paint 6 walls</u></em>

H_1 = 54 minutes ; M_1 = 4 people ; W_1 = 6 walls

<em><u>Minutes required for 6 people to paint 7 walls</u></em>

H_2 = ? ; M_2 = 6 people ; W_2 = 7 walls

<em><u>Substituting the values in formula, we get</u></em>

\frac{54 \times 4}{6} = \frac{H_2 \times 6}{7}\\\\9 \times 4 = \frac{H_2 \times 6}{7}\\\\H_2 = \frac{36 \times 7}{6}\\\\H_2 = 42

Thus it takes 42 minutes for 6 people to paint 7 walls

7 0
3 years ago
Find the volume of this cylinder.<br> Give your answer to 1 decimal point
galina1969 [7]

Answer:

1330.5 cm³

Step-by-step explanation:

The volume of a cylinder is: V = πr²h

Substitute the values for those variables.

V = π(5.5)²(14)

V = π(30.25)(14)

V = 1330.5

4 0
2 years ago
Read 2 more answers
monica sells lemonade over the summer and uses conical paper cups to serve the lemonade. Each cup is 8 centimeters tall.She star
GaryK [48]

Answer:

(a)205

(b)5 Packages

Step-by-step explanation:

\text{One gallon is equivalent to 3785 } cm^3

Therefore: \text{10 gallon= 3785X 10 =37850 } cm^3

Therefore, Volume of the lemonade Monica Started with is \text{37850 } cm^3

The diameter of the cup =8cm

Therefore, Radius =8/2 =4cm

Height of the Cup =11cm

Volume of a Cone=\frac{1}{3}\pi r^2 h

\text{Volume of the Cup}=\frac{1}{3}\pi *4^2*11 \\=184.31cm^3

The number of cups needed to empty the 10 gallon cooler =37850÷184.31

=205.36

\approx 205 Cups

(b)If the Cups are sold in packages of 50

Number of Package to be bought =205 ÷ 50 =4.1

She would need to buy 5 packages.

5 0
3 years ago
Below is part of a results table from an experiment.
Sergio [31]
Take all three trial result averages and add them up
Then take that number and divide by three because there was three numbers added.
That number is the average of the three trials
7 0
3 years ago
Could someone explain how they get the answer for this?
jarptica [38.1K]

Answer:

40°

Step-by-step explanation:

The reference angle is the positive acute angle created by the terminal arm and the x-axis.

The highlighted red in the picture below shows what we're looking for.

The arm rotated 220° (but 'backwards' so the value given is negative).

|-220°| - 2(90°)          <= Subtract two right angles for two quadrants

= 220° - 2(90°)

= 220° - 180°

= 40°

Therefore, the reference angle is 40°.

If you got 50°, you probably calculated the angle with the terminal arm and the y-axis. Remember to always use the nearest side of the x-axis!

4 0
3 years ago
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