The van needs 21 gallons of gas. Take 16/(320/420)
Answer:
x
=
12 and y
=
1
Explanation:
Given equations are:
(1) ------ 1
3
x
−
y
=
3
(2)------
2
x
+
y
=
25
Multiply (1) by 3 to eliminate the fractional part,
(1) ------- x
−
3
y
=
9 ⇒
x
=
9
+
3
y
-------- let this be equation (3)
Now substitute this value of
x
from (3) in equation (2),
(2) --------- 2
(
9
+
3
y
)
+
y
=
25 ⇒
18
+
6
y
+
y
=
25 ⇒
7
y
=
25
−
18 ⇒
y
=
7
7
Therefore,
y
=
1
Substituting this value of
y
in equation (3),
x
=
9
+
3
×
1
x
=
9
+
3
Therefore,
x
=
12
So we have the values of
x and y as,
x
=
12
and
y
=
1
╦────────────────────────────╦
│Hope this helped _____________________│
│~Derelis ____________________________ │
╨___________________________________╨
Answer:
135
Step-by-step explanation:
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
Two Angles are Supplementary when they add up to 180 degrees.
Two Angles are Complementary when they add up to 90 degrees
Let the angle = x
Supplement of the angle = y
The supplement of an angle is 80° less than three times the measure of the complement of the angle find the measure of the supplement of the angle
x - 180 = 3(x - 90)
x - 180 = 3x - 270
Collect like terms
3x - x = 270 - 180
2x = 90
x = 90/2
x = 45
x+ y = 180
45 + y = 180
y = 180 -45
y = 135
The length and breadth of a rectangular playground are 110m and 90m.
(a) Ratio of length to perimeter = 11 : 40
(b) Ratio of breath to perimeter = 9 : 40
<u>Solution:
</u>
Given that length of play ground = 110 m
And breadth of playground = 90 m
Need to determine ration of (a) length to perimeter and (b) perimeter to breadth
Lets first calculate perimeter of rectangular playground
<em>Perimeter of Rectangle = 2(length + breadth ) </em>
=> Perimeter of Rectangular playground = 2(110 + 90) = 400 square meter
Now substituting values in ratio we get,
(a) Ratio of length to perimeter = 110 : 400 = 11 : 40
(b) Ratio of breath to perimeter = 90 : 400 = 9 : 40
