A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit
"The sum of the digits is 5"
x + y = 5
The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]
The number is: 10x + y
3(10x + y) = 42
The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42
Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out
-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1
then plug x = 1 into either equation to find y
1 + y = 5
y = 4
remember the x and y represent digits so the number xy is 14
Hopes this helps if right please mark as brainlist:
Answer: -12x^2 + 15x
Let's see.
4x/5 + 4/3 = 2x
First we have to make each denominator the same, so I'll multiply 4x/5 by 3/3, 4/3 by 5/5, and 2x by 15/15
Now we have 12x/15 + 20/15 = 30x/15
With everything in the same denominator we can solve the new equation of
12x + 20 = 30x
20 = 18x
10 = 9x
X= 10/9
Answer: 310 centimeters square of paper
Explanation: to find the answer you need to know the surface area of the box. So you use the formula SA = 2ab+2bc+2ac
A=7
B=10
C=5
After inputting the values you get:
SA = 2(7)(10) + 2(10)(5) + 2(7)(5)
and after simplifying:
SA = 140+100+70
SA=310
Answer:
90⁰
Step-by-step explanation:
y=cosx
y'= -sinx
eqñ of tangent is y=-x
slope of tangent =-1
we know...
slope of tangent = y' or derivative of y
-sin x = -1
sin x= 1
x = 90⁰
