Answer:
ur smart u got this
Step-by-step explanation:
keep trying and ask ur teacher for help
Answer:
x = 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
4x + 9 = 2x + 15
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 2x on both sides: 2x + 9 = 15
- Subtract 9 on both sides: 2x = 6
- Divide 2 on both sides: x = 3
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4(3) + 9 = 2(3) + 15
- Multiply: 12 + 9 = 6 + 15
- Add: 21 = 21
Here we see that 21 does indeed equal 21.
∴ x = 3 is the solution to the equation.
Answer:
5,418.2 feet
Step-by-step explanation:
Nadia is carrying out mountain climbing.
She started climbing the mountain at an altitude of 19.26 feet below the sea level.
Nadia changed her altitude by climbing a total of 5,437.8 feet from her starting position.
Therefore, Nadia's altitude at the end of her climb can be calculated as follows
= 5,437.8-19.6
= 5,418.2
Hence Maria's altitude at the end of her climb is 5,418.2 feet
Answer:
5 feet
Step-by-step explanation:
Total Area = Area of Triangle + Area of Square
60.5 = 35.5 + Area of Square (s²)
s² = 25
s = 5
<u><em>1- Writing the system of equations:</em></u>
The price of a cup of coffee is denoted by c while the price of a spaghetti is denoted by s
<u>We are given that:</u>
4 cups of coffee and 6 spaghetti cost $20.5
<u>This means that:</u>
4c + 6s = 20.5 ................> equation 1
<u>We are also given that:</u>
1 cup of coffee and 3 spaghetti cost $8.75
<u>This means that:</u>
c + 3s = 8.75 .................> equation 2
<em><u>2- Solving the equations using substitution methods:</u></em>
<u>From equation 2:</u>
c = 8.75 - 3s ................> I
<u>Substitute with I in equation 1 and solve for s as follows:</u>
4c + 6s = 20.5
4(8.75 - 3s) + 6s = 20.5
35 - 12s + 6s = 20.5
35 - 6s = 20.5
6s = 14.5
s = $2.41667
<u>Substitute with s in I to get c:</u>
c = 8.75 - 3s
c = 8.75 - 3(2.41667) = 1.4999 = $1.5
<u><em>3- getting price for 1 cup of coffee and 1 spaghetti:</em></u>
c + s = 1.5 + 2.41667 = $3.91667
Hope this helps :)
