The answer is 2, because 4x+20=x+20 if you solve for x the answer will be 2
Answer:
9.14
Step-by-step explanation:
The family vehicle can go 300 miles on a tank of gas worth $40.
1. Find the cost of the gas in two options for Day 1.
First option:
300 miles - $40
304 miles - $x
Write a proportion:
\begin{lgathered}\dfrac{300}{304}=\dfrac{40}{x}\\ \\300x=304\cdot 40\\ \\30x=304\cdot 4\\ \\30x=1,216\\ \\x=\dfrac{1,216}{30}=\dfrac{608}{15}\approx 40.53\end{lgathered}
304
300
=
x
40
300x=304⋅40
30x=304⋅4
30x=1,216
x=
30
1,216
=
15
608
≈40.53
Second option:
300 miles - $40
260 miles - $y
Write a proportion:
\begin{lgathered}\dfrac{300}{260}=\dfrac{40}{y}\\ \\300y=260\cdot 40\\ \\3y=26\cdot 4\\ \\3y=104\\ \\=xy\dfrac{104}{3}\approx 34.67\end{lgathered}
260
300
=
y
40
300y=260⋅40
3y=26⋅4
3y=104
=xy
3
104
≈34.67
2. Calculate the total price:
First option:
Gas cost = $40.53
National park = $25
Lakes - free
Total cost = $65.53
Second option:
Gas cost = $34.67
Water park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Amusement park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Total cost =$74.67
Difference = 74.67 -74.67−65.53 = $9.14
3x-5y=4------eq1
4x+3y=15-------------eq2
multiply 3 to first eq and 5 to second eq.
9x-15y=12
20x+15y=75
subtract both eqs
29x=87 x=3 so put x in eq 1
3(3)-5y=4
5y=5
y=1
Answer:
(x + 2)² + (y − 9)² = 36
Step-by-step explanation:
Equation of a circle is:
(x − h)² + (y − k)² = r²
where (h, k) is the center and r is the radius.
Here, the center is (-2, 9) and the radius is 12/2 = 6.
(x + 2)² + (y − 9)² = 36
Answer:
<em>(16.2t+3.4u+2.9)cm</em>
Step-by-step explanation:
A triangle is a plane shape that has three sides. <em>The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides</em>. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;
P = s1+s2+s3
Given the side lengths
s1 = (8.1t-6.1)cm
s2 = (8.1t+7.1)cm
s3 = (3.4u+1.9)cm
Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9
collect the like terms
P = 8.1t+8.1t+3.4u-6.1+7.1+1.9
P = 16.2t+3.4u+2.9
<em>Hence the expression that represents the perimeter, in centimeters, of the triangle is (16.2t+3.4u+2.9)cm</em>