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1 year ago

2. The ratio of boys to girls in a classroom is 2 to 3. If there are 18 boys in the classroom, how many

Mathematics

2 answers:

andre [41]1 year ago

8 0

Answer:

27 girls

Step-by-step explanation:

boys 2 : 3 girls

18: x

18×3= 54:2x

54÷2= 27

wariber [46]1 year ago

3 0

Answer:

27 girls

Step-by-step explanation:

boys 2/5 = 0.4 (40%) = 18

girls 3/5 = 0.6 (60%)= x

40%----------18

60%-----------x

Cross multiplication

40x = 60x18

40x = 1080

x=27

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Find two geometric means between 5 and 135

aniked [119]

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio 3√1355=3, hence a=15 and b=45

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

a=5rb=ar=5r2135=br=5r3

Hence r3=1355=27, so r=3√27=3

Then a=5r=15 and b=ar=15⋅3=45

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3 years ago

Multiplier method increase £88 by 14%

Morgarella [4.7K]

Answer:

if you just want 14% of 88

14% of 88 = 12.32, 0.14 * 88

if you want 14% of 88 + 88

114% of 88 = 100.32, 1.14 * 88

Step-by-step explanation:

2% of x = 0.02 * x

20% of x = 0.2 * x

200% of x = 2 * x

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2 years ago

A fisherman uses a spring scale to weigh a tilapia fish. He records the fish weight as a kilograms and notices that the spring s

belka [17]

Answer:

k = $\frac{980a}{b}$

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

= 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = $\frac{9.8a}{0.01b}$

k = $\frac{980a}{b}$

Therefore, spring constant of the spring will be determined by the expression, k = $\frac{980a}{b}$

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2 years ago

Given: AB with point C between A and B. AB = 10x + 20, AC = 2x + 13, and CB = 10x - 9.

Feliz [49]

Answer:46

Step-by-step explanation:

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3 years ago

What is a quartic function with only two real zeros at x = 7 and x = 13

Fittoniya [83]

Zeros be a and b

a=7
b=13

Function

$\\ \sf\longmapsto y=x^2-(a+b)x+ab$

$\\ \sf\longmapsto y=x^2-(7+13)x+(7)(13)$

$\\ \sf\longmapsto y=x^2-20x+91$

Option B

3 0

2 years ago