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3 years ago

Numbers between 1 and 100 that are multiple of 3 but not multiple of 8

Mathematics

1 answer:

bija089 [108]3 years ago

5 0

Answer:

3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60,63,66,69,72,75,78,81,84,87,90,93,96,99

Step-by-step explanation:multiple

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(b) Factorise fully 2 a²b + 6ab2

den301095 [7]

Answer:

Step-by-step explanation:

$2 {a}^{2} b + 6a {b}^{2}$

Factor out common term : 2ab

$2 {a}^{2}b \div 2a = a \\ 6a {b}^{2} \div 2ab = 3b \\ 2ab(a + 3b)$

6 0

2 years ago

Read 2 more answers

Solve cot x + 2cot x * sin x = 0 for U^ <= x<=180

nekit [7.7K]

Answer:

Step-by-step explanation:

hello :

cot x + 2cot x sin x = 0 0≤ x≤ 180

cotx(1+2sinx) =0 means : cotx=0 or 1+2sinx=0

1) cotx=0 so : cosx=0 and sinx ≠ 0 because cotx = cosx/sinx

when : 0≤ x≤ 180 : x=90°

2) 1+2sinx=0 means : sinx = -1/2

when : 0≤ x≤ 180 : no solutions because : sinx ≥ 0

conclusion : one solution : x=90°

3 0

3 years ago

Eric purchased three music CDs and a sweatshirt from a band's online store and received a 20% discount. He paid $100 for his pur

emmasim [6.3K]

(3c+s)(100-20)/100=100 multiply both sides by 100

(3c+s)80=10000 divide both sides by 80

3c+s=125 subtract 3c from both sides...

s=125-3c....now let's look at the second situation...

(4c+2s)(100-40)/100=120 multiply both sides by 100

60(4c+2s)=12000 divide both sides by 60

4c+2s=200 divide both sides 2

2c+s=100 subtract 2c from both sides

s=100-2c, and from earlier we saw that s=125-3c, since s=s:

100-2c=125-3c add 3c to both sides

100+c=125 subtract 100 from both sides

c=25, and since s=100-2c

s=50

So cds cost $25.00 and sweatshirts cost $50.00

6 0

3 years ago

Read 2 more answers

The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportio

DochEvi [55]

Answer:

1476 boys

Step-by-step explanation:

We are going to use ratio here:

6/7=x/1,722

so then we simplify

(1,722*6)/7 =

1476 boys

3 0

3 years ago

Write the slope-intercept form of the equation of the line described.

Svetach [21]

Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

5 0

2 years ago