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Zinaida [17]
2 years ago
3

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.04 liters. Then, he wants to fi

ll the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water. What is the volume of the tank?
Mathematics
1 answer:
bogdanovich [222]2 years ago
3 0

Answer: 35 liters


Step-by-step explanation:

Volume of 1 marble = 0.04 Liters

volume of 50 marbles = 50 x 0.04 liters = 2 liters

volume of water added =  33 liters ( Given)

Volume of tank = Volume of water + Volume of 50  marbles

                          =      33 liters + 2 liters

                          =    35 liters

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James has established the following monthly budget for himself: Rent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8090 [49]

Answer:

James's monthly income is $1250.

Step-by-step explanation:

If the budget accounts for James's entire monthly income, the sum of the cost of all the items on the budget is his total monthly income.

Income = 300 + 175 + 125 + 200 + 250 + 50 + 25 + 125 = $1250

6 0
2 years ago
Read 2 more answers
The perimeter of a pool table is about 7.8m. four times the length equals nine times the width. What are the dimensions of the t
Nana76 [90]

The pool's dimension are  l = 2.7 m and w = 1.2 m

Step-by-step explanation:

Step 1 :

Given

The pool's perimeter = 7.8 m

Four times the pool's length = nine times the pool's width.

=> 4l = 9w  => l = (\frac{9}{4}) w

Where l is the pool's length and w is the pool's width

Step 2:

The rectangle's formula for perimeter is 2 (l+w)

Substituting l = (\frac{9}{4}) w ,

2[ (\frac{9}{4}) w + w]  = 7.8 (given)

(\frac{13}{2}) w  = 7.8 = > w = 1.2 m

Step 3 :

l = (\frac{9}{4}) w = (\frac{9}{4}) 1.2 = 2.7

l = 2.7 m

Step 4 :

Answer :

The pool's dimension are  l = 2.7 m and w = 1.2 m

6 0
2 years ago
If a certain number of Grade IV students share 28 or 39 skill books in Mathematics,there are remainders of 4 and 3 books. What i
nadya68 [22]

Answer:

  • 12 students

Step-by-step explanation:

<u>Below numbers are divisible by the number of students:</u>

  • 28 - 4 = 24
  • 39 - 3 = 36

<u>Lets find GCF of 24 and 36:</u>

  • 24 = 2*2*2*3
  • 36 = 2*2*3*3
  • GCF(24,36) = 2*2*3 = 12

The largest possible number of students is 12

7 0
1 year ago
Isa and Jack have part-time jobs.
enot [183]
By process of elimination and plugging in the math we can say that Jack earns 8.25 an hour by multiplying 2*8.25=16.50. Isa must then earn 9.50, therefore she earns a greater hourly pay then Jack as a result 
3 0
2 years ago
A psychologist is collecting data on the time it takes to learn a certain task. For 50 randomly selected adult subjects, the sam
tatuchka [14]

Answer: (15.263,\ 17.537)

Step-by-step explanation:

According to the given information, we have

Sample size : n= 50

\overline{x}=16.40

s=4.00

Since population standard deviation is unknown, so we use t-test.

Critical value for  95 percent confidence interval  :

t_{n-1,\alpha/2}=t_{49, 0.025}= 2.009575\approx2.010

Confidence interval : \overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}

16.40\pm (2.010)\dfrac{4}{\sqrt{50}}\\\\=16.40\pm1.13702770415\\\\=16.40\pm1.1370\\\\=(16.40-1.1370,\ 16.40+1.1370)\\\\=(15.263,\ 17.537)

Required 95% confidence interval :  (15.263,\ 17.537)

8 0
2 years ago
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