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Svetllana [295]
3 years ago
12

Giuliana has 22 quarters and dollar coins worth a total of $10.75.Which equation can be used to find d, the number of dollar coi

ns Giuliana has?
Mathematics
2 answers:
Ganezh [65]3 years ago
7 0
0.25(22 - d)+d=10.75
Burka [1]3 years ago
4 0

Answer:

(22-d)× 0.25  + d = 10.75 equation that can be used to find d, the number of dollar coins Giuliana has.

Step-by-step explanation:

Given :  Giuliana has 22 quarters and dollar coins worth a total of $10.75

We have to find an equation that can be used to find d, the number of dollar coins Giuliana has.

Let he has d dollar coins then number of quarter coins is (22-d)

We know 1 quarter = 0.25 dollars

then (22-d) quarter = (22-d)× 0.25 dollars =  $5.5 - 0.25d

Thus,

The equation becomes,

(22-d)× 0.25  + d = 10.75.

That is  $5.5 - 0.25d + $d = $ 10.75.

thus, 0.75d = $ 10.75 - $5.5

On solving d = 7

Thus,  (22-d)× 0.25  + d = 10.75 equation that can be used to find d, the number of dollar coins Giuliana has.

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Rick's cat weighs 7 pounds. His neighbor says her puppy weighs 103 ounces.
Harrizon [31]

Answer:

1. Yes

2. 112 ounces

Step-by-step explanation:

To answer this question, we should first convert the amount of pounds Rick's cat weighs into ounces, so that both measurements are in the same unit. Since 1 pound is the same as 16 ounces, we can multiply 7 pounds by 16 ounces:

7 * 16 = 112

So, Rick's cat weighs 112 ounces, which is more than his neighbor's puppy, which only weighs 103 ounces. so for the first question, the answer is:

Yes, Rick's cat weighs more than the puppy.

And the second answer is:

Rick's cat weighs 112 ounces.

Hope this helps :)

5 0
3 years ago
Prove that sin(Π÷14)sin(3Π÷14)sin(5Π÷14)=2​
Oxana [17]

Answer:

The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Step-by-step explanation:

    sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})

            Multiply and Divide by 2cos(\frac{\pi }{14})

= \frac{2sin(\frac{\pi }{14})cos(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14})}{2cos(\frac{\pi }{14})}

⇒ Let \frac{\pi }{14} = Ф  and 7Ф = \frac{\pi }{2}

= sin2Ф sin3Ф sin5Ф ÷ 2cosФ

= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ

= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ

= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ               ∵cos7Ф = 0      

= sin6Ф ÷ 8cosФ

= sin(7Ф - Ф) ÷ 8cosФ                              

= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ      ∵sin7Ф = 1  

= cosФ ÷ 8cosФ

= 1/8

Hence, The correct prove will be:

sin(\frac{\pi }{14})sin(\frac{3\pi }{14})sin(\frac{5\pi }{14}) = \frac{1}{8}

Keywords: prove, sinФ, cosФ

Learn more about trigonometric functions from brainly.com/question/7331447

#learnwithBrainly

4 0
3 years ago
Can someone help me PLZ! I keep posting the same question and no ones helping me :(((((((((((( its dues in 20 mins!!
MissTica

225y

250-25 =225

I hope I'm right !

6 0
3 years ago
Read 2 more answers
Sally went 3.5 miles per hour on a treadmill for 5 hours. She was sore and decided to take 400 mg of Advil. The half portion sta
xenn [34]

Answer:

8 hours

Step-by-step explanation:

it says: The half portion stays in her body for 8 hours.

8 0
4 years ago
So,some please help!
Leni [432]
4.6 is the correct answer. Hope I helped:)
5 0
3 years ago
Read 2 more answers
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