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lorasvet [3.4K]
2 years ago
11

Ryan bought a sofa on sale for $342. This price was 28% less than the original price.

Mathematics
1 answer:
Snezhnost [94]2 years ago
5 0
The correct answer is $475
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Katy bought 5 packages of cake mix for $32.50. How much would 8 packages of cake mix cost?
AleksAgata [21]

Answer:

$52

Step-by-step explanation:

5 packages = $32.50

divide both sides by 5

1 package = $6.50

times by 8

8 package = $52

7 0
2 years ago
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
Consider that ΔDEF is similar to ΔGHI and the measure of ∠E is 58°. What is the measure of ∠H?
spayn [35]

Answer:

58 degrees

Step-by-step explanation:

If figures are similar to each other, it means that they have the same measures. Therefore, D has the same measure as G, E has the same measure as H, and F has the same measure as I.

6 0
3 years ago
Please help me with this!! I’ll give brainliest
Bumek [7]

Answer:

It's 65.97

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Walmart sells 10 pens for $8.99 Walgreens sells 25pens for 19.75 which store has the better buy
monitta
Walmart: 10 pens/$8.99 -> $.89/pen
Walgreens: 25 pens/$19.75-> $.79

Walgreens has the better deal

6 0
3 years ago
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