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Eduardwww [97]
2 years ago
8

Kate bought 5 pounds of hamburger and 2 pounds of hotdogs and paid $28.50. Eric bought half the amount of hamburger and a fourth

of the amount of hotdogs that Kate did and paid $12.50. Find the cost per pound of hamburgers and hotdogs.
This is a system of equations
Mathematics
1 answer:
lapo4ka [179]2 years ago
5 0

Answer:

hamburgers - $4.30 hotdogs- $3.50

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How can the quotient of powers law be used to show that a negative exponent is equivalent to the reciprocal
Kay [80]

Answer:Thus,  (-3)-4 = 1/(-3)4.

Step-by-step explanation:

Negative exponents have the following property:   n-m = 1/nm   OR   1/n-m = nm

So for  (-3)-4 ,  n= -3 and -m= -4 (or m= 4).

Thus,  (-3)-4 = 1/(-3)4.

8 0
2 years ago
If twice a number is subtracted from 11, the result is 4 more than the number. What is the number?
Flauer [41]

Let the number = x.

So 2 times x subtracted from 11 is written as 11-2x

The result is 4 more than the number is written as 4 +x

Now you have 11-2x = 4 + x

We can now solve for x.

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11 = 4 + 3x

Subtract 4 from each side:

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Divide both sides by 3:

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4 0
4 years ago
Find cos(2*ABC) 100POINTS
juin [17]

Answer:

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Step-by-step explanation:

<u>Trigonometric Identities</u>

\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
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  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Using the trig ratio formulas for cosine and sine:

  • \cos(\angle ABC)=\dfrac{3}{5}
  • \sin(\angle ABC)=\dfrac{4}{5}

Therefore, using the trig identities and ratios:

\begin{aligned}\implies \cos(2 \cdot \angle ABC) & = \cos(\angle ABC + \angle ABC)\\\\& = \cos (\angle ABC) \cos (\angle ABC) - \sin(\angle ABC) \sin (\angle ABC)\\\\& = \cos^2(\angle ABC)-\sin^2(\angle ABC)\\\\& = \left(\dfrac{3}{5}\right)^2-\left(\dfrac{4}{5}\right)^2\\\\& = \dfrac{3^2}{5^2}-\dfrac{4^2}{5^2}\\\\& = \dfrac{9}{25}-\dfrac{16}{25}\\\\& = \dfrac{9-16}{25}\\\\& = -\dfrac{7}{25} \end{aligned}

7 0
2 years ago
Read 2 more answers
What is the area of this figure?
Andrej [43]
I think its 111 hope it helps 
4 0
3 years ago
Use the GCF to factor 30+40
Angelina_Jolie [31]
10(3+4)
hope this helps
7 0
4 years ago
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