Answer:
x = 12
Step-by-step explanation:
Pythagorean triplet
12,16,20
So, the value of x is 12
x + 256 = 400
x = 400 - 256
x = 144
The square of 12 is 144
Answer:
$1.80
Step-by-step explanation:
Let the cost of a hot dog = x
The cost of a hot dog roll = y
Eight hot dogs and seven hot dog rolls cost $\$13.60$.
8x + 7x = $13.60..... Equation 1
Seven hot dogs and eight hot dog rolls cost $\$13.40$.
7x + 8x = $13.40...... Equation 2
Combining both Equation
8x + 7x = $13.60..... Equation 1
7x + 8x = $13.40...... Equation 2
Eliminating x
Multiply 1 by 7
Multiply 2 by 8
56x + 49y = 95.2..... Equation 3
56x + 64y = 107.2 ..... Equation 4
Subtracting 4 from 3
-15y = -12
y = -12/-15
y = 0.8
Cost of one hot dog roll = $0.8
Solving for x
8x + 7x = $13.60
8x + 7(0.8) = 13.60
8x + 5.6 = 13.60
8x = 13.60 - 5.60
8x = 8.0
x = 8.0/8
x = 1.
Cost of one hot dog = $1.0
The cost in dollars of a hot dog and a hot dog roll cost combined is
x + y
= $1 + $0.8
= $1.80
<h2>
<u>Answer:</u></h2>
⟶ 2³ × 3² is the prime factorization for which one of these choices?
Let's check,
1) 6 = 3 × 2 [So, obviously not this choice]
2) 25 = 5 × 5 = 5² [Not this either]
3) 36 = 3 × 2 × 2 × 3 = 3² × 2² [Doesn't match with 2³ × 3²]
4) 72 = 2 × 2 × 2 × 3 × 3 = <u>2</u><u>³</u><u> </u><u>×</u><u> </u><u>3</u><u>²</u><u> </u>[Matches]
⟶ The answer is, choice <u>7</u><u>2</u><u>.</u>
Answer:
Option C.
Domain:
{3, 0, 2, 4}
Step-by-step explanation:
The domain is the set of all the values of x.
Answer:
For b = 7, the expression equals 15.
Step-by-step explanation:
6b + 8 - 5b
Substitute the variable b = 7.
6(7) + 8 - 5(7)
Multiply.
42 + 8 - 35
Add.
50 - 35
Subtract.
15.
