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masha68 [24]
3 years ago
10

(a/5) - (b/3) = (a/2) - (b/6), solve for a

Mathematics
1 answer:
Gnom [1K]3 years ago
5 0

Answer:

a =  -  \frac{10}{17} b

Step-by-step explanation:

(a/5) - (b/3) = (a/2) - (b/6)

+(B/3) + (b/3)

NOTE: use property of equality to isolate <em>b</em> from <em>a</em>

(a/5) = (b/3) + (a/2) - (b/6)

-(a/2) - (a/2)

NOTE: continue to use property of equality to isolate <em>a</em><em> </em>from <em>b</em>

(a/5) - (a/2) = (b/3) - (b/6)

60((a/5) - (a/2)) = ((b/3) - (b/6))60

NOTE: 60 is a common multiple of 5, 2, 3, and 6

12a - 30a = 20b - 10b

NOTE: combine alike terms

-17a = 10b

-17a/-17 = 10b/-17

NOTE: decide by -16 to find what a is equal to

a =  -  \frac{10}{17} b

Final answer

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A printer can print 27 pages in 4.5 minutes. How much time does it need to print 324 pages?
valentina_108 [34]
27 pages/4.5 mins = 324/n

Now, solve for n.

N=54

So, 54 minutes is the answer!
5 0
3 years ago
Maths watch help me please thank you
Dovator [93]

Answer:

71 %

Step-by-step explanation:

Paper 1 :

65% of 120 = 0.65 X 120 = 78

Paper 2 :

80% of 80 = 0.8 X 80 = 64

Total Percentage:

Add the two scores 78 + 64 = 142

Add the what it was out of 120 + 80 = 200

Use (Score / Total marks available) X 100

(142 / 200) X 100 = 71

3 0
2 years ago
Find the mean,median,mode and range for each set of data its 23,27,24,26,26,24,26,24
lilavasa [31]

Mean is the average of the data set, which is found by adding all values together and then dividing that sum by the number of data values.

Median is the middle number of the data set, and can be found by ordering the values from least to greatest. If there are two middle numbers, the average of the two would be the median.

Mode is the number that shows up most frequently in the data set.

Range is found by subtracting the lowest number from the highest number in the data set.

<u>Set 1</u>

Mean:

18+20+22+11+19+18+18=126

126÷7=18

Median:

11, 18, 18, 18, 19, 20, 22 →  18

Mode: 18

Range: 22-11=11

<u>Set 2</u>

Mean: 23+27+24+26+26+24+26+24=200

200÷8=25

Median:

23, 24, 24, 24, 26, 26, 26, 27 → 24+26=50 → 50÷2=25

Mode: 24 and 26

Range: 27-23=4

4 0
3 years ago
Read 2 more answers
PLEASE I NEED HELP ASAP
Annette [7]

The coordinates of the vertex that A maps to after Daniel's reflections are (3, 4) and the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

<h3>How to determine the coordinates of the vertex that A maps to after the two reflections?</h3>

From the given figure, the coordinate of the vertex A is represented as:

A = (-5, 2)

<u>The coordinates of the vertex that A maps to after Daniel's reflections</u>

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A' = (5 - 2, 2)

Evaluate the difference

A' = (3, 2)

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A'' = (3, -2 + 4)

Evaluate the difference

A'' = (3, 4)

Hence, the coordinates of the vertex that A maps to after Daniel's reflections are (3, 4)

<u>The coordinates of the vertex that A maps to after Zachary's reflections</u>

The rule of reflection across the line y = 2 is

(x, y) ⇒ (x, -y + 4)

So, we have:

A' = (-5, -2 + 4)

Evaluate the difference

A' = (-5, 2)

The rule of reflection across the line x = -1 is

(x, y) ⇒ (-x - 2, y)

So, we have:

A'' = (5 - 2, 2)

Evaluate the difference

A'' = (3, 2)

Hence, the coordinates of the vertex that A maps to after Zachary's reflections are (3, 2)

Read more about reflection at:

brainly.com/question/4289712

#SPJ1

8 0
1 year ago
Nicole buys envelopes for her home office that come in boxes of 125 envelopes. If she buys 18 boxes, how many envelopes will she
yawa3891 [41]

Answer:

➩ 2,250 envelopes.

Step-by-step explanation:

Given that, Nicole buys 125 envelopes per box for her home office.

Therefore, She will have 18*125 envelopes in all

So, 18*125 is 2,250 envelopes

6 0
3 years ago
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