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3 years ago

A teachers chocolate is 60 ounces for $7.20. A students chocolate is 75 ounces for $8.25. Which one is

Mathematics

1 answer:

klio [65]3 years ago

3 0

Answer:

75 ounces for $8.25

Step-by-step explanation:

divide the cost wiht the ounce to get the answer, the lowest one is the the answer

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The sum of three consecutive integers is 165. What are the integers?<br> The first integer is

Dovator [93]

Answer:

x = 54

Step-by-step explanation:

Let the 3 consecutive integers be,

→ x, x + 1, x + 2

Then the equation is,

→ (x) + (x + 1) + (x + 2) = 165

The required value of x will be,

→ (x) + (x + 1) + (x + 2) = 165

→ 3x + 3 = 165

→ 3x = 165 - 3

→ x = 162/3

→ [ x = 54 ]

Hence, the first integer is 54.

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1 year ago

Can anyone help me solve a trigonomic identity problem and also help me how to do it step by step?

dusya [7]

$\bf cot(\theta)=\cfrac{cos(\theta)}{sin(\theta)}
\qquad csc(\theta)=\cfrac{1}{sin(\theta)}
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\cfrac{cos(\theta )\cdot \frac{cos(\theta )}{sin(\theta )}}{1-sin(\theta )}-1\implies \cfrac{\frac{cos^2(\theta )}{sin(\theta )}}{\frac{1-sin(\theta )}{1}}-1\implies 
\cfrac{cos^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{1-sin(\theta )}-1
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\cfrac{cos^2(\theta )}{sin(\theta )[1-sin(\theta )]}-1\implies 
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$\bf \cfrac{cos^2(\theta )-1[sin(\theta )-sin^2(\theta )]}{sin(\theta )[1-sin(\theta )]}\implies \cfrac{cos^2(\theta )-sin(\theta )+sin^2(\theta )}{sin(\theta )[1-sin(\theta )]}
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3 years ago

What is 5^4 well it's just multiplying 5 by 5 four times

Olenka [21]

That's right ! So you're on your way to the solution.
Just follow your own suggestion.

5 x 5 x 5 x 5 = ?

(If you don't get 625, then go back and check your work.)

5 0

3 years ago

A trough is 9 feet long, and its cross section is in the shape of an isosceles right triangle with hypotenuse 2 feet, as shown a

Andrei [34K]

Answer:

1/6

Step-by-step explanation:

Given:

Length of the trough: 9 ft

=> The volume of the trough: V = $\frac{9}{2}$ * (b * h) (1)

An isosceles right triangle with hypotenuse 2 feet

=> the other two sides of the triangle is:

= tan(45 degrees) = h/(b/2)

<=> b = 2h substitute in (1), we have:

V = $\frac{9}{2}$ *(2h *h) = 9 $h^{2}$

Take derivative of volume with respect to time to find equation for rate of filling the trough

dV/dt = 2 * 9 *h dh/dt = 18h dh/dt

<=> dh/dt = dV/dt /(18h)

As we know that, dV/dt = 2

So, dh/dt = 2 / 18h = 1/9h

<=> V = t * rate = 2 * 2 = 4

But V = 9 $h^{2}$

<=> 9 $h^{2}$ = 4

<=> h = 2/3

The rate is the height h feet of the water in the trough changing 2 minutes after the water begins to flow:

dh/dt = 1/(9h) = 1/(9 * 2/3) = 1/6

8 0

3 years ago

Brian made $357 for 17 hours of work.

Vadim26 [7]

Answer:

$231

Step-by-step explanation:

357/17 = $21 per hour

21*11 = $231

5 0

3 years ago

Read 2 more answers