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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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Write a function that models 40mg of a substance that has a half life of 84 days
lubasha [3.4K]

Answer: The function is M(t) = 40mg*0.992^t

Step-by-step explanation:

Half life refers to the time that a given quantity to reduce to half its initial value.

This is usually a exponential decay, so we want a function of the form:

M(t) = A*r^(*t)

Were t is time, in this case, t is the number of days

A is the initial value

r is the rate of decrease, we will find that for exponential decays r must be a number between 0 and 1. If r is closer to 0, we will have a fast exponential decay, if r is closer to 1 we will have a slower exponential decay.

We have that the initial mass is 40mg, this is at t = 0.

M(0) = A*r^(0) = A = 40mg

So now we have the value of A.

Now, we know that in t = 84, the mass of the substance will be half its initial value, so it will be:

A/2 = 40mg/2 = 20mg

this means that:

M(84) = 40mg*r^(84) = 20mg

r^(84) = 20mg/40mg = 1/2

r = \sqrt[84]{1/2} = 0.992

Then the equation is:

M(t) = 40mg*0.992^t

5 0
3 years ago
he original price of a tractor was $45,000. The price of the tractor decreases at a steady rate of 8.3% per year. What is the va
Debora [2.8K]
  • Answer:

<em>$29178.25</em>

  • Step-by-step explanation:

<em>x = p(1 - r)ⁿ</em>

<em>p = original price</em>

<em>r = 8.3% = 0.083</em>

<em>n = 5 years</em>

<em>x = $45000(1 - 0.083)⁵</em>

<em>= $45000ₓ0.917⁵</em>

<em>= $45000ₓ0.64840548256</em>

<em>= </em><em>$29178.25</em>

5 0
3 years ago
How much ceros have 5 million?
Mandarinka [93]

Answer:

6 zeros

Step-by-step explanation:

5000000

U 2 can help me by marking as brainliest.....

3 0
2 years ago
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WILL GIVE BRAINLIEST IF DO QUICKLY!!! $A$, $B$, $C$, and $D$ are positive digits such that $\overline {ABCD} + \overline {BCD} +
ipn [44]
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8 0
3 years ago
Which statement is correct when a scatterplot is constructed? A.The independent variable is the input variable and should be rep
spayn [35]

Answer:-  A.The independent variable is the input variable and should be represented by the x-axis.


Explanation:-

A. Correct.

B. Not correct.

<u>Reason</u>:- The independent variable is the input variable and should be represented by the x-axis.

C. Not correct.

<u>Reason</u>:- The dependent variable is the output variable and should be represented by y-axis.

D. Not correct.

<u>Reason</u>:-The dependent variable is the output variable and should be represented by y-axis.


6 0
3 years ago
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