The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s

Positioning a 45-foot ladder against a building that is 36 feet tall, how far from the base of the building will the bottom of the ladder rest?

Answers:

C - The value of w cannot be negative.

D - The variable l is substituted with the value 20.

E - To isolate the variable w, the subtraction property of equality is applied.

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34.56%. This is a binomial probability that can efficiently be calculated using the following formula: Here, n signifies the total number of trials (in this case, 4), x denotes the number of "successes" (which is 3), p is the success probability (60% or 0.6), and q indicates the failure rate (1 - p, thus 0.4). Plugging these values into the formula yields the solution: in percentage form, the probability is found to be 34.56%.

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

Answer:

10

Step-by-step explanation:

If there’s a direct correlation between variables x and y, it can be expressed as

y = kx,

where y is the dependent variable

x is the independent variable

k signifies the constant of variation

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For the first scenario

y = 400

x = r

using y = kx, we can derive the relation:

400 = kr

To find k here:

k = 400/r

For the second scenario

y = r

x = 4

again using y = kx, the relationship is given by:

r = 4k

Solving for k:

k = r/4

Since both conditions provide the same equation, k will have the same value in both cases.

Thus, we conclude:

400/r = r/4

=> 400*4 = r*r

=> 1600 = r^2

Hence, r is calculated to be 40.

Thus, k = r/4 = 40/4 = 10.

The constant of variation is confirmed to be 10, which is the correct answer.

Verification:

k = 400/r = 400/40 = 10