5. You deposit P1000 into a 9% account today. At the end of two years, you will deposit another P3,000. In five years, you plan

Answer:

y = 22.5 - 0.2t

Step-by-step explanation:

The given information includes;

total weight of the candle, n = 22.5 ounces

Candle burn rate, R = 1 ounce every 5 hours

The remaining candle amount is calculated as initial amount minus burnt amount

Let the remaining amount be y

y = 22.5 - 0.2t

where;

t represents the time the candle has been burning

Therefore, the equation for the leftover candle is expressed as;

y = 22.5 - 0.2t

Complete question:

Benjamin treats himself to breakfast at his go-to restaurant. He orders chocolate milk priced at \$3.25$3.25dollar sign, 3, point, 25. Next, he aims to purchase as many pancake stacks as possible while keeping his total at or below \$30$30dollar sign, 30 prior to tax. Pancakes are sold in stacks of 4 at \$5.50$5.50dollar sign, 5, point, 50. Let SSS denote the number of pancake stacks purchased by Benjamin. 1) What inequality represents this situation?

Answer:

Refer to the explanation below.

Step-by-step explanation:

Information provided:

Chocolate milk costs = $3.25

Price of pancake stack = $5.50 (for 4 pancakes)

Pancake stacks bought = S

Maximum spending ≤ $30

Chocolate milk cost + (Cost per pancake stack × number of stacks) ≤ $30

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25

5.50S ≤ 26.75

S ≤ 26.75 / 5.50

S ≤ 4.86

Therefore, the maximum number of pancake stacks he can buy without going over budget is 4.

Thus, total pancakes = stacks × pancakes per stack

= 4 × 4

= 16

We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.

Their measures are given as:

∠UVW = x - 10

∠XYZ = 4x - 10

Adding these, we have:

(x - 10) + (4x - 10) = 90

Simplifying:

5x - 20 = 90

Adding 20 to both sides:

5x = 110

Dividing by 5:

x = 22

Substituting back:

∠UVW = 22 - 10 = 12°

∠XYZ = 4(22) - 10 = 78°

Therefore, the values are:

x = 22°

∠UVW = 12°

∠XYZ = 78°

Response:

The measure of mHLK is "(204)°".

Step-by-step breakdown:

Given values include:

mJI = (3x+2)°

mHLK = (15x-36)°

and,

m∠HML = (8x-1)°

then,

What is mHLK?

Now,

Utilizing the chord-chord angle formula, we find

Inserting the known values into the equation gives us

⇒  

By carrying out cross-multiplication, we arrive at

⇒  

⇒  

By subtracting "18x" from both sides, we obtain

⇒  

⇒  

Upon adding "2" to both sides, we end up with

⇒  

⇒  

⇒  

⇒  

By substituting the value of "x" into mHLK = (15x-36)°, we calculate

⇒ (15x-36)° = (15×16-36)°

⇒                = (240-36)°

⇒                = (204)°

Thus, mHLK = (204)°