The required number is -3 which when added to the numerator and to the denominator of 5/8 results in a fraction whose value is 0.4.
<h3>What is a fraction?</h3>
Fraction is the ratio of a particular part to the whole parts of an object. A fraction has a numerator and a denominator.
<h3>Calculation:</h3>
The given fraction is 5/8
Consider a number as 'x' which is added to both the numerator and the denominator of the given fraction.
So,
(5 + x)/(8 + x)
Since it is given that the result is 0.4 i.e., 4/10, we can write
(5 + x)/(8 + x) = 4/10
⇒ 10(5 + x) = 4(8 + x)
⇒ 50 + 10x = 32 + 4x
⇒ 10x - 4x = 32 - 50
⇒ 6x = -18
⇒ x = -18/6
∴ x = -3
Therefore, the required number is -3.
Check:
(5 + (-3))/(8 + (-3)) = (5 - 3)/(8 - 3) = 2/5 = 0.4
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Answer:
Angle sqr = 119°
Step-by-step explanation:
In the above question, we are given:
angle pqt is (3x+47)°
angle sqr is (6x-25)°
Angle pqt = Angle sat
We solve for x
3x + 47 = 6x - 25
Collect like terms
47 + 25 = 6x - 3x
72 = 3x
x = 72/3
x = 24
We solve for the measure of angle sqr
Angle sqr = (6x - 25)
x = 24
6 × 24 - 25
144 - 25
= 119°
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Answer:
=19.66
Step-by-step explanation:
y=mx+b with m=-4/3 ;x=8 and y=9
9=-4/3×8+b
9=-32/3+b
9+32/3=b
b=19.66
Answer:
1.3
Step-by-step explanation:
