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Elza [17]
3 years ago
8

A chef can finish a catering job in 4hr. His student can do the same job in 12hr. How long will it take them both to do the job

if they work together
Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0
12 divided by 4 equal 3
Ans:3hrs
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Find all solutions in the integers of the equation ||x−3|−5| = 10, where the bars indicate absolute value.
Helga [31]

Answer:

x = 18 or x = -12.

Step-by-step explanation:

||x-3|-5| = 10 only if |x-3|-5 = 10 or |x-3|-5 = -10, i.e., if |x-3|=15 or |x-3|=-5; but |x-3| cannot be equal to -5, because |x-3| should be a non-negative value. Therefore, the first equation is true only if |x-3|=15. |x-3| = 15 only if x-3 = 15 or x-3 = -15, i.e., x = 18 or x = -12.  We can verify this in the following way: ||18-3|-5|=||15|-5|=|10|=10 and ||-12-3|-5|=||-15|-5|=|15-5|=|10|=10. This verify that our solution is correct.

3 0
3 years ago
Jonah is going to the store to buy candles small candles cost $3.50 and large candles cost five dollars he needs to buy at least
marysya [2.9K]

Answer:

He can purchase a maximum of 6 large candles.

Step-by-step explanation:

If he purchases 6 large candles and 14 small candles:

$5.00 x 6 = $30.00

$3.50 x 14 = $49.00

$49.00 + $30.00 = $79.00

6 0
3 years ago
Find the Average Rate of Change between the values of [0, 1]
e-lub [12.9K]

Answer:

The average rate of change cover the given interval is -6

Step-by-step explanation:

The average rate of change of a function over a range can be calculated by;

f(b) - f(a)/b-a

f(b) and f(a) refers to the respective y values of the x values a and b

Since we have a and b, we can get f(a) and f(b) from the plot

From the graph, since a = 0, f(a) is the y-intercept = 6

b = 1

f(b) = 0

So we have the slope as

= (0-6)/(1-0) = -6/1 = -6

3 0
3 years ago
Use spherical coordinates to evaluate the
kotykmax [81]

Answer:

4096π / 5

Step-by-step explanation:

∫∫∫ (x² + y² + z²) dV

In spherical coordinates, x² + y² + z² = r², and dV = r² sin φ dr dθ dφ.

E is the range 0 ≤ r ≤ 4, 0 ≤ φ ≤ π, 0 ≤ θ ≤ 2π.

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r²) (r² sin φ dr dθ dφ)

∫₀ᵖⁱ∫₀²ᵖⁱ∫₀⁴ (r⁴ sin φ) dr dθ dφ

Evaluate the first integral.

∫₀ᵖⁱ∫₀²ᵖⁱ (⅕ r⁵ sin φ)|₀⁴ dθ dφ

∫₀ᵖⁱ∫₀²ᵖⁱ (¹⁰²⁴/₅ sin φ) dθ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ∫₀²ᵖⁱ (sin φ) dθ dφ

Evaluate the second integral.

¹⁰²⁴/₅ ∫₀ᵖⁱ (θ sin φ)|₀²ᵖⁱ dφ

¹⁰²⁴/₅ ∫₀ᵖⁱ (2π sin φ) dφ

²⁰⁴⁸/₅ π ∫₀ᵖⁱ sin φ dφ

Evaluate the third integral.

²⁰⁴⁸/₅ π (-cos φ)|₀ᵖⁱ

²⁰⁴⁸/₅ π (-cos π + cos 0)

²⁰⁴⁸/₅ π (1 + 1)

⁴⁰⁹⁶/₅ π

5 0
2 years ago
stadium floor that is in the shape of a circle has a diameter with length of 210 yards. which of these measurements is closest t
kenny6666 [7]

Answer:

You have no choices but the area of that floor is 34,618.5 yds

Step-by-step explanation:

A = π r²

A = 3.14 (105²)

A = 34,618.5

3 0
3 years ago
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