Answer:
-18
Step-by-step explanation:
Let x be our number. First we have to write our equation.
The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.
The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.
So our equation is:
-8x = 8(x + 36)
We can now solve for x. First, expand the bracket.
-8x = 8x + 288
Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.
-8x - 8x = 8x + 288 - 8x
-16x = 288
Divide both sides by -16
x = -18
Answer:
25 , 17
Step-by-step explanation:
Let the unknown two numbers be x & y.
According to the question,
Sum of 2 numbers is 42.
x + y = 42 ⇒ ( 1 )
Their difference is 8.
x - y = 8 ⇒ ( 2 )
First let us find the value of x.
( 1 ) + ( 2 )
x + y + x - y = 42 + 8
2x = 50
Divide both sides by 2.
x = 25
And now let us find the value of y.
x + y = 42
25 + y = 42
y = 42 - 25
y = 17
Therefore, the two numbers are 25 , 17
Hope this helps you :-)
Let me know if you have any other questions :-)
9514 1404 393
Answer:
9/16 inch
Step-by-step explanation:
A = 3/4 +1/16
B = 1/4
x = A - B
x = (3/4 +1/16) - (1/4) . . . an equation for the difference
x = (12/16 + 1/16) - 4/16 = (13 -4)/16
x = 9/16
The difference between A and B on the ruler is 9/16 inch.
Answer:
12 inches high
Step-by-step explanation:
- Volume of a cylinder =
r²h
(where r = radius and h = height)
- Radius r = 1/2 diameter
First, find the volume of the original can of soup by using the volume of a cylinder formula and r = 2:
Volume of original can of soup = x 2² x 8 = 32
If the new soup can needs to hold 1.5 times as much soup as the original can, multiply the volume of the original can by 1.5:
volume of new can = 32 x 1.5 = 48
If the diameter of the new can is the same as the diameter of the original can, then r = 2.
Use the volume of a cylinder formula, set the volume to 48 and use r = 2. Solve for h:
48 = 2²h
Divide both sides by : 48 = 4h
Divide both sides by 4: 12 = h
Therefore the height of the new can will be 12 in
