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netineya
2 months ago
8

A Climbing Gym charges $10 to climb each day. A pair of Climbing shoes cost $84. It cost $169 to buy 6 days of climbing, one pai

r of climbing shoes, and one harness. How much does a harness cost?
Mathematics
1 answer:
PIT_PIT [12.4K]2 months ago
8 0
Cost for 6 days of climbing = $10 * 6 = $60
Cost for a pair of shoes = $84
Total expenditure = $169

Thus, the cost for one harness = $169 - $(84+60)
harness = $169 - $144 = $25

Thus, the final answer is $25.
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If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
AnnZ [12381]

Response:

55 mph. All options are incorrect.

Detailed explanation:

When speed changes inversely with the time taken, it can be expressed as v ∝ 1/t, where:

v represents speed,

t refers to the time taken.

This leads to;

v = k/t, with k being a constant of proportionality.

Given that Kris takes 5 hours traveling at 55 mph, we replace v with 55 mph and t with 5 hours in the equation to find k as follows:

55 = k/5

Cross-multiplying yields:

k = 55 * 5

k = 275

To determine the speed Martin needs to drive for 5 hours, we substitute k = 275 and t = 5 back into the original equation v = k/t as follows:

v = 275/5

v = 55 mph

Thus, we conclude that in order to travel for 5 hours, Martin must also drive at 55 mph.

3 0
1 month ago
Happy is four times as old as Grumpy. The sum of their age is 100. How old are Happy and<br> Grumpy?
PIT_PIT [12445]

Answer:

Grumpy's age is 20 while Happy's age is 80.

Step-by-step explanation:

5 0
2 months ago
Read 2 more answers
In three hours, Company ABC can make X ball bearings. Company DEF can make X ball bearings in 4 hours. Company GHI can make X ba
AnnZ [12381]

Answer:

X ball bearings can be produced in 1 hour and 20 minutes

Step-by-step explanation:

Proportions

Proportions serve as an essential method for solving various common challenges. We understand that:

Company ABC manufactures X ball bearings in 3 hours.

Company DEF produces X ball bearings in 4 hours.

Company GHI generates X ball bearings in 6 hours.

In a single hour, each company is capable of producing:

ABC: X/3 ball bearings

DEF: X/4 ball bearings

GHI: X/6 ball bearings

By collaborating, they can produce

\displaystyle \frac{X}{3}+\frac{X}{4}+\frac{X}{6}

ball bearings. Operating together

\displaystyle \frac{4X+3X+2X}{12}=\frac{9X}{12}=\frac{3X}{4}

If their output is 3/4 of a ball bearing in one hour, then it will take

\displaystyle \frac{4}{3} hours to create one complete ball bearing. This translates to 1 hour and 20 minutes.

X ball bearings can be produced in 1 hour and 20 minutes

8 0
3 months ago
A 2-column table with 10 rows. The first column is labeled x with entries negative 4, negative 3, negative 2, negative 1, 0, 1,
PIT_PIT [12445]

Answer-  A,D,E

Step-by-step explanation:

A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.

Which equations correspond to the data shown in the table? Select all that apply.

y – 6 = -5/4(x + 2)

y – 2 = -5/4(x - 1)

y + 2 = -5/4(x - 6)

y – 1 = -5/4(x - 2)

y – 3.5 = -1.25x

This is just rewording the question

5 0
2 months ago
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Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
zzz [12365]

Upon reviewing the functions based on the tables, it is determined that (f - g)(x) is positive in the range of (–∞, 9).----------------------

For the
  • subtractive
  • function, we simply subtract the two functions, leading to:

(f - g)(x) = f(x) - g(x)

It retains a
  • positive
  • value when f is greater than g, which means: f(x) > g(x).Being a linear function, one will be greater prior to the equality, while the other will take precedence afterward.
  • They intersect at x = 9.
  • If x < 9, then f(x) is greater than g(x), thus, (f - g)(x) remains positive, which indicates that the
  • required interval is:(–∞, 9)
A related problem can be found at

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2 months ago
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