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zhuklara [117]
3 years ago
8

5. Find the value that makes each statement true. 2*? = 2 -2*? = -2 2 *? = 1 -2*?=1

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

The total number of seconds in a year is 32,000,000 when rounded to the nearest million. It is 31,500,000 when rounded to the nearest hundred thousand.

Step-by-step explanation:

Which could be the total number of seconds in a year?

A.

31,092,000 seconds

B.

31,476,000 seconds

C.

31,536,000 seconds

D.

31,592,000 seconds

2. A television network counted 1,771,548 viewers watching the golf tournament on its channel. There were 5,861,014 viewers watching a football game on another channel.

Round each number to the nearest hundred thousand.

About how many viewers were watching the two events on television?

A.

7,500,000

B.

7,600,000

C.

7,700,000

D.

8,000,000

3. The longest bridge in the world is located in China. It is164,800 meters long. Another bridge in China is 69,732 meters long.

Round each length to the nearest ten thousand to find the answer.

What is the approximate difference between the lengths of the two bridges?

4. Amber is solving this problem.

252

× 605

What are the partial products Amber will need to solve the problem?

A.

1,260 and 151,200

B.

1,260 and 1,512

C.

1,260 and 15,120

D.

1,260 and 2,520 and 151,200

5. A rectangular garden with a width of 42 feet has an area of 2,814 square feet.

What is the length of the garden?

6. Which number sentences show how to solve the problem?

Sasha’s family donated 12 boxes of canned vegetables to the food pantry. There are 24 cans in each box. Three boxes are filled with canned peas; the rest are filled with canned corn. How many cans of corn did Sasha’s family donate to the food pantry?

Choose all answers that are correct.

A.

12 – 3 = 9 and 9 × 12 = 108

B.

12 – 3 = 9 and 9 × 24 = 216

C.

3 × 24 = 72 and 3 × 12 = 36 36 + 72 = 108

D.

12 × 24 = 288, 3 × 24 = 72, and 288 – 72 = 216

7. There are 15 rows of diamond rings in a case in the jewelry store. There are 24 rings in each row. Another case has 12 rows of rings with a variety of colored stones and has 18 rings in each row.

How many more diamond rings than rings with colored stones are in the jewelry store?

8. The florist has 195 carnations and 127 daisies. She uses them to make 14 bouquets. Each bouquet has the same number of flowers.

How many flowers are in each bouquet?

9. Which statements are true about the value of the digits in the number 5,555,555?

Choose all answers that are correct.

A.

The digit in the thousands place is 1/5 the value of the digit in the ten thousands place.

B.

The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C.

The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

D.

The digit in the hundreds place is 50 times the value of the digit in the tens place.

10. Carlos says there are a total of 6,000 hundreds in the number 6,000,000.

Is Carlos correct?

A.

Yes, Carlos is correct.

B.

No, Carlos is not correct. There are exactly 600 hundred thousands in 6,000,000.

C.

No, Carlos is not correct. There are exactly 600 thousands in 6,000,000.

D.

No, Carlos is not correct. There are exactly 6,000 thousands in 6,000,000.

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3 0
2 years ago
FIND THE SUM OF 20 TERMS OF THE ARITHMETIC SERIES IN WHICH 3rd TERM IS 7 AND 7th TERM IS 2 MORE THAN THREE TIMES ITS 3rd TERM
algol13

Answer:

740

Step-by-step explanation:

The n th term of an arithmetic series is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then

a₁ + 2d = 7 → (1)

a₁ + 6d = 23 → (2)

Subtract (1) from (2) term by term

4d = 16 ( divide both sides by 4 )

d = 4

Substitute d = 4 into (1)

a₁ + 2(4) = 7

a₁ + 8 = 7 ( subtract 8 from both sides )

a₁ = - 1

The sum to n terms of an arithmetic series is

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

S_{20} = \frac{20}{2} [ (2 × - 1) + (19 × 4) ]

     = 10(- 2 + 76) = 10 × 74 = 740

8 0
3 years ago
The surface area of a rectangular prism is 32 square inches. The volume of the prism is 12 cubic inches. The sum of all edge len
Goryan [66]

Answer:

36 cubic inches.

Step-by-step explanation:

Let the length, width and height of the rectangular prism are a, b, c respectively.

So, surface area, 2(ab + bc + ca) = 32 {Given} ............ (1)

Volume, abc = 12 {Given} ............ (2)

And, the sum of all the edges, 4(a + b + c) = 28 {Given} .......... (3)

Now, if the length width and height are increased by 1 inch, then the volume of the prism will be = (a + 1)(b + 1)(c + 1)

= abc + (ab + bc + ca) + (a + b + c) + 1

= 12 + 16 + 7 + 1 {From equations (1), (2) and (3)}

= 36 cubic inches. (Answer)

3 0
3 years ago
Find the surface area of the rectangle prism. 3cm 9cm and 6cm
lisabon 2012 [21]

Answer:

198 cm²

Step-by-step explanation:

We are given the dimensions of a rectangular prism;

3cm 9cm and 6cm

We are required to determine its surface area;

We need to know that;

Surface area of a rectangular prism is given by;

A = 2(WL+HL+WH)

Where L, W and H are length , width and height respectively;

Assuming;

Width is 3 cm

Length is 9 cm, and

Height is 6 cm

Then;

Area = 2 ( (3×9) + (6×9) + (3×6))

        = 2(99)

       = 198 cm²

Therefore, the area of the rectangular prism is 198 cm²

6 0
3 years ago
I need to know what 478 dividend by 27
Fittoniya [83]

478/27= 17.703 repeating

5 0
3 years ago
Read 2 more answers
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