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gizmo_the_mogwai [7]
2 years ago
12

Larry has 7 more dimes than nickels, for a total value of $1.45. If n represents the number of nickels, which

Mathematics
1 answer:
mixas84 [53]2 years ago
8 0

Answer:

Step-by-step explanation:

The equation is (10 x y)+(5 x n)=1.45

The answer is: 5 nickels and 12 dimes

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bob is having a party and want to order some cake. there will be 57 guest and he wants to make sure that everyone gets a slice o
Leviafan [203]
<span>Bob should by the 25cm cake for 18.75 each. He will need to buy 3 of these cakes in order to feed 57 guests. The total cost would be 56.25. If he were to buy the 20cm cake, he would need to purchase 5 cakes for a total of 67.50.</span>
4 0
2 years ago
Show that A(t)=300−250e0.2−0.02t satisfies the differential equation ⅆAⅆt=6−0.02A with initial condition A(10)=50 .
Elina [12.6K]

Step-by-step explanation:

dA/dt = 6 − 0.02A

dA/dt = -0.02 (A − 300)

Separate the variables.

dA / (A − 300) = -0.02 dt

Integrate.

ln(A − 300) = -0.02t + C

Solve for A.

A − 300 = Ce^(-0.02t)

A = 300 + Ce^(-0.02t)

Use initial condition to find C.

50 = 300 + Ce^(-0.02 × 10)

50 = 300 + Ce^(-0.2)

-250 = Ce^(-0.2)

C = -250e^(0.2)

A = 300 − 250e^(0.2) e^(-0.02t)

A = 300 − 250e^(0.2 − 0.02t)

8 0
2 years ago
In the diagram, AB←→ || CD←→. Which pair of angles can be proven congruent?
slega [8]
For the answer to the question above, the opposite angles at the intersection of two straight lines as shown in the graph are congruent. 
So the answer is simply∡ EIA  and ∡ KIJ are congruent.

I hope my answer helped you. Have a nice day!
7 0
2 years ago
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1 year ago
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Lenmana started studying how the number of branches on her tree grows over time. The number of branches increases by a factor of
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Answer:

N(t) = 48 * 11/6^{\frac{t}{3.5} }

Step-by-step explanation:

The formula for <u>exponential growth</u> is y = ab^x.

To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.

N(t) = 48 * 11/6^(t/3.5)

This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.

7 0
1 year ago
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