Answer:
x=3 and y=−4
Step-by-step explanation:
Solve4x+y=8for y:
4x+y=8
4x+y+−4x=8+−4x(Add -4x to both sides)
y=−4x+8
Step: Substitute−4x+8 for y in 5x+2y=7:
5x+2y=7
5x+2(−4x+8)=7
−3x+16=7(Simplify both sides of the equation)
−3x+16+−16=7+−16(Add -16 to both sides)
−3x=−9
-3x/-3=-9/-3
(Divide both sides by -3)
Step 2: Substitute 3 for x in y=−4x+8:
y=−4x+8
y=(−4)(3)+8
y=−4(Simplify both sides of the equation)
Answer:ok
Step-by-step explanation:
S - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h = 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
Answer:
-1.5
Step-by-step explanation:
7-4x=13
Solve for x.
Subtract 7 from both sides to isolate the variable.
7-4x=13
-7 -7
Simplify
-4x= 6
÷-4 ÷-4
x= -1.5
To check my work.
7-4(-1.5)= 13
7-(-6)=13
7+6=13
Hope this helped!
Given:
Right triangular prism
To find:
The surface area of the right triangular prism
Solution:
<u>Using nets of the prism:</u>
Area of large rectangle = length × width
= 7 × 5
Area of large rectangle = 35 square units
Area of middle rectangle = length × width
= 7 × 4
Area of middle rectangle = 28 square units
Area of small rectangle = length × width
= 7 × 3
Area of small rectangle = 21 square units
Area of top triangle =
Area of top triangle = 6 square units
Area of bottom triangle =
Area of bottom triangle = 6 square units
Total surface area = 35 + 28 + 21 + 6 + 6
= 96 square units
The surface area of the right triangular prism is 96 square units.