Answer:
40 miles per hour
Step-by-step explanation:
- Speed = Distance / Time
- Speed = 120 / 3
- Speed = 40 miles per hour
1 ft = 12 inches.....so 8 ft = 12* 8 = 96 inches
96 inches - 94.6 inches = 1.4 inches is cut off of each board
The expression of all the algebra as single rational exponent are; As written below.
<h3>How to Express Exponents?</h3>
1) We want to express ⁴√x³. This can be expressed as;
x^(3/4)
2) We want to express the exponent ¹/x⁻¹. This is expressed as a single rational exponent as; x
3) We want to have the given expression as a single rational exponent. The expression is; ¹⁰√(x⁵ · x⁴ · x²)
We add the exponents to get;
¹⁰√(x¹¹) = x^(¹¹/₁₀)
4) x^(¹/₃) * x^(¹/₃) * x^(¹/₃)
We just add the exponents to get;
x¹ = x
Read more about Exponents at; brainly.com/question/11761858
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Answer:
y = ½(13- x)
Step-by-step explanation:
Step 1. Find the<em> slope (m₁) of the original line
</em>
The equation for the original line is
y = 2x - 6
slope = m₁ = 2
Step 2. Find the <em>slope (m₂) of the perpendicular line
</em>
m₂ = -1/m₁ Substitute the value of m₁
m₂ = -1/2
Step 3. Find the <em>equation for the perpendicular line</em>
y = mx + b Substitute the value of m₂
y = -½x + b
The line passes through (5, 4).
4 = -½(5) + b Add 5/2 to each side
4 = -5/2 + b Add 2 to each side
b = 13/2
y = -½x + 13/2
y = ½(13 – x)
In the image, below, the red line is the graph of your original equation.
The blue line passing through (5, 4) is the perpendicular line.
Firtly we need to know how many percents is 1/5:
1/5 * 100% = 1 * 20% = 20%
So we have 50% of party cakes and 20% of fruit cakes. Now we can easily count that sponge cakes are 30%:
100% - 50% - 20% = 30%