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Debora [2.8K]
3 years ago
13

ann and betty share a sum of money in the ratio 2:3 respectively Ann revived $120 what was betty's share

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0
Well, 120 divided by 2 is 60
60 times 3 is 180
Betty got 180
kap26 [50]3 years ago
8 0
<span>Ann and betty share a sum of money in the ratio 2:3 
</span>
2:3 = 2 +3 = 5

An received $120 mean $60 x 2 = $120
so Betty $60 x 3 = $180

answer: Betty's share was $180


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4 0
3 years ago
What is the answer for 2x+y=2
beks73 [17]

Answer:

X=1 - y/2

Step-by-step explanation:

2x = 2 - y

divide both sides by 2

x = 1 - y/2

4 0
4 years ago
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.
barxatty [35]

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(50.75

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05

7 0
3 years ago
One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
Vlad1618 [11]

Answer:

Base of the mirror is 12 feet and height of the mirror is 18 feet.

Step-by-step explanation:

Given:

Area of the triangular mirror = 108 sq ft.

Let base (b) of the mirror be x.

Now given:

height is 6 feet less than twice the base of the mirror

So we can say that;

Height (h) = 2x-6

We need to find the base and height of the mirror.

Solution:

Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

Now Area of triangle is half times base times height.

framing in equation form we get;

108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

x^2-12x+9x-108=0\\\\x(x-12)+9(x-12)=0\\\\(x-12)(x+9)=0

Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

Since x is base of the triangle which cannot be negative.

so we will discard the negative value.

Hence;

base of triangle = 12 ft

Height of the triangle = 2x-6=2\times12-6 =24-6 =18\ ft

Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
4 years ago
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