Answer:
y = 2
Step-by-step explanation:
x + 5y - 10 = 0
X = 4y - 8
since x is given as = 4y - 8 we can use this in first equation
replace x with 4y - 8
x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms
9y - 18 = 0 add 18 to both sides of the equation
9y = 18 divide both sides by 9
y = 2
36 miles. Call <span>Fort Collins point F, Cheyenne, point C, and Laramie point L. We know that angle F=46.5 degrees, angle L=43.6 degrees, and FC=3.2 inches. </span>Use the law of sines, sinF/LC=sinL/FC, LC=sin46.5*3.2/sin43.6=2.32/0.69=3.36 inches. Since one inch represents 10.6 miles, 3.36 inches is 36 miles, the distance from L to C.
Answer:
7 buses. 52÷ 8 = 6.5 so rounding up to 7
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
$10000 Total cost to transport 14 tons
Step-by-step explanation:
The total cost C(S) = $6500 + ($250/ton)S. <em>This is a linear function with initial value $6500 and slope $250/ton.</em>
C(14) = $6500 + ($250/ton)(14) = <em>$10000 = Total cost to transport 14 tons</em>
