Answer:
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
Step-by-step explanation:
C(m)= 50m + 79.50,
This is written in the form y= mx+b where m is the slope and b is the y intercept.
The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept. It represents the initial cost to join the gym.
Answer:
175 miles
Step-by-step explanation:
Hillary has travelled
320 + 350 = 670 miles
in the first two weeks.
Therefore, Hillary starts with 670 miles and needs to add a certain number of miles "x" to get 845 in total.
670 + x = 845
And if we subtract 670 from both sides:
x = 845 - 670 = 175
175 miles
9514 1404 393
Answer:
5/48, 5/46, 5/44, 5/42
Step-by-step explanation:
We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:
1/8.4 = 5/42
1/8.8 = 5/44
1/9.2 = 5/46
1/9.6 = 5/48
__
<em>Check</em>
- 1/8 = 0.125
- 5/42 ≈ 0.119
- 5/44 ≈ 0.114
- 5/46 ≈ 0.109
- 5/48 ≈ 0.104
- 1/10 = 0.100
_____
<em>Additional comment</em>
There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.
__
Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.
Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
78! is the answer to this question! trust! -6
