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marishachu [46]
3 years ago
9

A fish was swimming 2 1/2 feet below the water's surface at 1:00 p.m. Three hours later, the fish was at a depth that is 3 1/4 f

eet below where it was at 1:00 p.m. What rational number represents the position of the fish with respect to the water's surface at 4:00 p.m. ?
Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

-23/4 ft

Step-by-step explanation:

Combine -2 1/2 ft with -3 1/4 ft.  The result will be -5 3/4 ft, or -23/4 ft.

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Uadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a
madam [21]

AB ≅ DC and AD ≅ BC

slope of BC = slope of AD (m = 1/3), slope of AB = slope of DC (m = 3/1)

opposite sides are congruent and parallel so ABCD is a parallelogram.

Answer: parallelogram

7 0
3 years ago
Factor the expression completely. 54 – 24x​
ioda

Answer:

6(9-4x)

Step-by-step explanation:

Factor 6 out of 54-24x, or group and factor out the GCF. Hope this helps!

7 0
3 years ago
Please help please please
Marina CMI [18]

Answer:

C. y = 2x + 8

Step-by-step explanation:

✔️First, find the slope of the line that goes through points (-2, 4) and (6, 20):

Slope (m) = ∆y/∆x = (20 - 4) / (6 - (-2))

Slope (m) = 16/8

m = 2

✔️Find the y-intercept (b):

To do this, substitute (x, y) = (6, 20) and m = 2 into y = mx + b

Thus:

20 = 2(6) + b

20 = 12 + b

20 - 12 = b

8 = b

b = 8

✔️Write the equation by substituting m = 2 and b = 8 into y = mx + b

Thus:

y = 2x + 8

8 0
3 years ago
Help! Which choice is the most efficient first step to solve this set of equations?
Dmitry [639]

Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

5 0
3 years ago
A farmer wants to fence in a section of land for a horse pasture. Fencing costs $33 per yard. How much will it cost to fence the
goldfiish [28.3K]
I believe it would cost $10,329.

If you add all the feet together, you will get 939 ft. There are 3 ft in a yard, so you divide 939 ft by 3 to get the number of yards. Which is 313 yd. then you multiply that by 33 since each yard equals $33. And will get 10,329 as a result.
7 0
3 years ago
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