Answer:
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Step-by-step explanation:
LET x and x+1 be the two numbers here, as your hint suggests.
5x + 3(x+1) = 59
5x + 3x+3 = 59
8x = 59-3
8x = 56
/8 /8
--------------------------
x = 56/8 ---> x = 7
x = 7 is the answer for the smaller number
7 + 1 = 8 is the answer for the larger number
Check:
5 * 7 + 3 * 8 = 59
35 + 24 = 59
59 = 59 CORRECT
Answer:
The factors of x^2+3x-4 are (x-1)(x+4) ....
Step-by-step explanation:
We have to find the factors of x^2+3x-4
As we know that this is a quadratic equation.
So we have to find the roots first.
The roots are -1 and 4.
Now completing the quadratic formula using the roots we have :
x^2+4x-x-4
Make a pair of first two terms and last two terms:
(x^2+4x)-(x+4)
Now take out the common from each pair:
x(x+4)-1(x+4)
(x-1)(x+4)
Thus the factors of x^2+3x-4 are (x-1)(x+4) ....
The formula to find the volume of cube
cube = s^3
Therefore volume is equal to I^3
The second cube has 4x the First cube
4 × (I^3) = 4 ×I^3
Total volume of the second cube= 4I^3 cm3
Fact: the density(mass ÷ volume) of aluminium is 2.40g/cm3
Making mass the subject of the formula:
D = M ÷ V
(Times volume to remove deno minator)
Mass = Density × Volume
Mass = 2.40 × 4I ^3
Mass = 8.40I^3
By physics
weight= m × g
where
M = mass
g = acceleration due to gravity (= 9.8)
W = 8.40 I^3 × 9.8
Weight of aluminium = 82.32I^3
Answer:
2/3 and -1/3
Step-by-step explanation:
We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.
The two numbers that are 1/2 units away from 1/6 will be:
1) 
2) 
Thus the two numbers are: 2/3 and -1/3
