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Fiesta28 [93]
3 years ago
11

A geologist digs 5 feet down into the ground before taking a break. This process is repeated 3 times to create a hole that has a

total depth of 15 feet.
Which equation represents the hole's depth in relation to ground level?

A. -5 • 3 = -15
B. -3 • -5 = -15
C. -3 • 5 = 15
D. 5 • 3 = 15

•= multiplication
Mathematics
1 answer:
Nikitich [7]3 years ago
7 0
The answer to the problem is D.
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Step-by-step explanation:

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James has a bag 77 of nickels and dimes. The total value of coins is $6.60. How many dimes does James have?
tatuchka [14]

James has 55 dimes in the bag

Step-by-step explanation:

The given is:

  • James has in a bag 77 of nickels and dimes
  • The total value of coins is $6.60

We need to find how many dimes James has

Assume that the number of nickels is x and the number of

dimes is y in the bag

∵ There are x nickels in the bag

∵ There are y dimes in the bag

∵ There are 77 coins in the bag

∴ x + y = 77 ⇒ (1)

∵ 1 nickel = 5 cents

∴ The value of nickles in the bag = 5x cents

∵ 1 dime = 10 cents

∴ The value of dimes in the bag = 10y cents

∵ The total value of coins is $6.60

∵ 1 dollar = 100 cents

∴ $6.60 = 6.60 × 100 = 660 cents

∴ 5x + 10y = 660 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -10 to eliminate y

∵ -10x - 10y = -770 ⇒ (3)

- Add equations (2) and (3)

∴ -5x = -110

- Divide both sides by -5

∴ x = 22

Substitute the value of x in equation (2) to find y

∵ 22 + y = 77

- Subtract 22 from both sides

∴ y = 55

∴ The number of dimes is 55

James has 55 dimes in the bag

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

6 0
4 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
marta [7]
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If you plugged theta = 0 into the first equation, then you would have

sin(45) + cos(45) = sin(0) + cos(0)

sqrt(2) = 1

which is a false equation. We don't have an identity here.

The same story happens with the second equation. Plug in theta = 0 and it becomes

cos(60) - sin(60) = cos^2(0) + tan(0)

1/2 - sqrt(3)/2 = 1 + 0

-0.37 = 1

which is false.

6 0
3 years ago
Four different stores have the same digital camera on sale. The original price and discounts offered by each store are
inysia [295]

Answer:

should be "d" though i haven't calculated it all exactly

Step-by-step explanation:

A : 85

B : 83

C : 82

D : 81

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