Simplify the following:
5/12×26
5/12×26 = (5×26)/12:
(5×26)/12
The gcd of 26 and 12 is 2, so (5×26)/12 = (5 (2×13))/(2×6) = 2/2×(5×13)/6 = (5×13)/6:
(5×13)/6
5×13 = 65:
Answer: 65/6
Ounce of blue dye mixed with one gallon of white paint base = 3/4
Ounce of blue dye mixed with eight gallons of white paint base = ![\frac{3}{4} (8)](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%288%29)
= 3 × 2
=6
Ounce of pink dye mixed with one gallon of white paint base = 2/3
Ounce of pink dye mixed with eight gallons of white paint base = ![\frac{2}{3} (8)](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%288%29)
= 16/3
= 5.3
Hence, 6 ounce of blue dye and 5.3 ounce of pink dye are needed to mix with 8 gallons of paint.
=6
Answer:
52
Step-by-step explanation:
given that the number is a
The expression for Ten less than 5 times the value of a number is given by
5a - 10
10 times the quantity of 12 more than one-fourth of the number.
a/4 is one-fourth of number
12 more than one-fourth of the number
a/4 + 12
expression for 10 times the quantity of 12 more than one-fourth of the number. is given by
10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120
Given that the above two expression are equal
equating them we have
5a - 10 = 2.5a + 120
adding 10 both sides
=>5a - 10+ 10 = 2.5a + 120 + 10
=> 5a = 2.5a + 130
subtracting 2.5a from both sides
=> 5a - 2.5a = 2.5a + 130 - 2.5a
=> 2.5a = 130
dividing both side by 2.5
=> a = 130/2.5 = 52
Thus, value of a is 52
For this case we have that the generic equation of the line is given by:
![y = mx + b ](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%0A)
Where,
m: slope of the line
b: intersection with the y axis.
Since the line is parallel to PQ, then the slopes are equal.
We have then:
![m = 1/4. ](https://tex.z-dn.net/?f=m%20%3D%201%2F4.%0A)
On the other hand we have:
![b = -3 ](https://tex.z-dn.net/?f=b%20%3D%20-3%0A)
Substituting values we have:
Answer:
The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
The answer is 136 I hope this helped