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gladu [14]
2 years ago
15

-1 - 5 (-2k+3)= -76​

Mathematics
2 answers:
disa [49]2 years ago
7 0

Answer:

k= -6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Vinil7 [7]2 years ago
5 0
-1 - 5 (-2k+3)=-76 k=-6
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a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take
Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

8 0
3 years ago
Read 2 more answers
Suppose a set of data about the spread (in hundreds of acres) of a food-borne bacteria (after t weeks) in lettuce has the follow
Alexxandr [17]

Answer:

A sinusoidal model would be used

The kind of function that have consistency in the periodic rate of change is the Average rate of changes

Step-by-step explanation:

The type of model that would be used is sinusoidal model and this is because there is periodic change in the values given ( i.e the rate of changes given )

For percentage rate of changes :

starting from 0.9% there is an increase to 1.3% then a decrease to 1.1% and a further decrease to 1% before an increase to 1.3% and another decrease to 1%

For Average rate of changes:

starting from 2.9 there is a decrease to 2.4, then an increase to 3.7 and another decrease to 3.1 followed by an increase to 3.6 and a decrease back to 3.2

This relation ( sinusoidal model ) is best suited for a linear model because there is a periodic rate of change in the functions

The kind of function that have consistency in the period rate of change is the Average rate of changes

6 0
3 years ago
Plssss helpppp againnnn
pentagon [3]

Answer:

x = 34°

Step-by-step explanation:

To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.

We can set up a simple algebraic equation to solve for 'x':

180 = x + 12 + 100 + x  

180 = 112 + 2x  **Combine like terms

68 = 2x **Divide both sides by '2'

x = 34°.

Therefore, the measure of ∠x = 34°.

5 0
3 years ago
Read 2 more answers
256 to the nearest 100
Nesterboy [21]

Answer:

300.

Step-by-step explanation:

256 is closer to 300 than it is to 200 so it rounds to 300.

6 0
3 years ago
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14. Janie Christopher lent $6000 to a friend for 90 days at 12%. After 30 days, she sold the note to a third party for $6000. Wh
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