Answer:
y=3x+25
Step-by-step explanation:
For the equation y=3x+5, the slope is 3. Since the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-13)=3(x--4)
y-13=3x+12
y=3x+25
Given
A tea that is 22% jasmine is blended with a tea that is 13% jasmine
Find out the how many pounds of the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine.
To proof
Let us assume that the a tea that is 22% jasmine is blended = a
Let us assume that the a tea that is 13% jasmine is blended = b
Total amount of tea made = 10lb
the equation be
a + b = 10
as given
jasmine tea are used to make 10lb of tea that is 19.3% jasmine.
write 22% in the decimal form

= 0.22
write 13% in the decimal form

= 0.13
write 19.3% in the decimal form

= 0.193
than the equation be
0.22a + 0.13b = 0.193 × 10
on simplify
22a + 13b = 193
two equation becomes
22a + 13b = 193 and a + b = 10
multiply a + b = 10 by 13 and subtracted from the 22a + 13b = 193
we get
22a - 13a + 13b -13b = 193 - 130
9a = 63
a = 7lb
put this value in the a + b = 10
we get
7 + b = 10
b = 3lb
Therefore the 22% jasmine tea are used to make 10lb of tea that is 19.3% jasmine is 7 lb .
Hence proved
Hello from MrBillDoesMath!
Answer:
35
Discussion:
Parallel lines cut by a transversal has corresponding angles equal. . So the corresponding angles x and (3x-70) are equal. That is,
x = 3x - 70 => add 70 to both sides
x + 70 = 3x => subtract x from both sides
70 = 3x - x = 2x => divide both sides by 2
x = 70/2 = 35
which is the third choice
Thank you,
MrB
Answer:
approximately 9
Step-by-step explanation:
6 squared (36) plus 8 squared (64) is 84, and the square root of that is about 9
Answer:
x=5±√−103/8
Step-by-step explanation:
There's no real solutions
4x2−3x+9−(2x+1)=2x+1−(2x+1)
4x2−5x+8=0
x=−b±√b2−4ac/2a
x=−(−5)±√(−5)2−4(4)(8)/2(4)
x=5±√−103/8