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2 years ago

Fred keeps a total of 50 hamsters and birds as pets. Given that there is a total of 164 legs. How

Mathematics

1 answer:

mel-nik [20]2 years ago

8 0

Answer:

32 Hamsters and 18 Birds

Step-by-step explanation:

B+H=50

2B+4H=164

H=50-B

4(50-B)+2B=164

200-4B+2B=164

200-2B=164

-2B=164-200

-2B=-36

-2B/-2=-36/-2

B=18

---

50-18=32

H=32

---

CHECK: 18+32=50

CHECK: 18 X 2=36 LEGS

CHECK: 32 X 4= 128 LEGS

CHECK: 128+36=164 LEGS IN TOTAL

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Help me? idk the answer :P

Alexus [3.1K]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\
\left( 2^8\cdot 3^{-5}\cdot 6^0 \right)^{-2}\left( \cfrac{3^{-2}}{2^3} \right)^4\cdot 2^{28}\impliedby \textit{let's do the first group}
\\\\
-------------------------------\\\\
$

$\bf \left( 2^8\cdot \cfrac{1}{3^5}\cdot 1 \right)^{-2}\implies \left( \cfrac{2^8}{3^5} \right)^{-2}\implies \left( \cfrac{3^5}{2^8} \right)^{2}\implies \cfrac{3^{2\cdot 5}}{2^{2\cdot 8}}\implies \boxed{\cfrac{3^{10}}{2^{16}}}\\\\
-------------------------------\\\\
\textit{now the second group}\qquad \left( \cfrac{3^{-2}}{2^3} \right)^4\implies \left( \cfrac{\frac{1}{3^2}}{2^3} \right)^4\implies \left( \cfrac{1}{2^3\cdot 3^2} \right)^4$

$\bf \cfrac{1^4}{2^{4\cdot 3}\cdot 3^{4\cdot 2}}\implies \boxed{\cfrac{1}{2^{12}\cdot 3^8}}\\\\
-------------------------------\\\\
\textit{so we end up with\qquad }\cfrac{3^{10}}{2^{16}}\cdot \cfrac{1}{2^{12}\cdot 3^8}\cdot 2^{28}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{16}\cdot 2^{12}\cdot 3^8}
\\\\\\
\cfrac{3^{10}\cdot 2^{28}}{2^{16+12}\cdot 3^8}\implies \cfrac{3^{10}\cdot 2^{28}}{2^{28}\cdot 3^8}\implies 3^{10}\cdot 2^{28}\cdot 2^{-28}\cdot 3^{-8}$

$\bf 3^{10-8}\cdot 2^{28-28}\implies 3^2\cdot 1\implies 3^2\implies 9$

7 0

3 years ago

annie is planning on buying a gym membership there is a flat fee of $25 and the membership cost $20 per month. Write an equation

defon

Answer:

y = 20x + 25

Step-by-step explanation:

y is the total

25 dollars to start plus the 20 dollars per month

3 0

3 years ago

The x-intercept of 2x + 3y = 12 is (0, 4). True or false

notsponge [240]

True but idk fr just use google

5 0

4 years ago

Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a

Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x² (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u> and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

y - a² = 2a (x - a) y = 2ax - a² ... (1)

line2: (y - a²) / (x + a) = - 2a y = -2ax- a² ... (2)

(1) - (2): 4ax = 0 a≠0 x = 0

y = - a²

I wish I did it right, or ....

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3 years ago

Help! i cant figure this out.

drek231 [11]

Answer:

65 cm squared

Step-by-step explanation:

6 0

3 years ago