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lana [24]
3 years ago
6

You have fallen down a slippery well 10 feet deep. every hour you are able to climb 2 feet out of the well, but then slip down 1

foot. how many hours total will it take for you to climb out of the well? *
Mathematics
1 answer:
mylen [45]3 years ago
8 0
If every over you climb 2 feet out, but then slip down 1, that means you technically only go up the well 1 ft/per hour. Then, if its 10 ft deep, then it would take you 10 hours.
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At a restaurant, you order an appetizer for $5.25, a meal for $12.75, and a drink for $2.99. If the sales tax is 9%, what is the
Yuliya22 [10]

Answer:

 $22.88

Step-by-step explanation:

The total bill is the subtotal plus tax. The tax is computed by multiplying the tax rate by the subtotal, which is the total of all items being billed.

  subtotal = $5.25 +12.75 +2.99 = 20.99

  tax = $20.99 × 0.09 = $1.89

The total bill is ...

  subtotal + tax = $20.99 +1.89 = $22.88

6 0
2 years ago
If the length of AO is double the length of CO, the length of BO is?
andreev551 [17]

BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B

For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.

Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.

7 0
3 years ago
A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
2 years ago
URGENT WILL MARK BRAINLIEST<br> Question is in attachment
kherson [118]
8x-41+9x+17= 180 (becuase they lie on a straight line)

17x-24=180

Move twenty four to the other side as a positive

17x=204

Divide both sides by 17

X is equal to 12

7 0
3 years ago
Half of the tuna sandwich were on white bread. 25% of the ham sandwiches sold were on brown bread.
fgiga [73]

Answer:

The frequency table is shown below.

Step-by-step explanation:

(i) Half of the tuna sandwich were on white bread = 21

On brown bread, tuna = 42 - 21 = 21

(ii) 25% of the ham sandwiches sold were on brown bread.

= 25% (32) = 8

On white bread, 32 - 8 = 24

Frequency table:

                     Tuna             Cheese          Ham         Total

Brown             21                     11                    8                40

White              21                     15                  24               60

Total                42                     26                 32              100

6 0
3 years ago
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