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3 years ago

Which statement is true about the product of 0.031 and 0.31?

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:

I believe the answer is c

Sorry if it is wrong still looking for answer

elena-14-01-66 [18.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

0.031 * 0.31 = 0.00961

Why A is incorrect: If you count how many digits there are on the right of the decimal, there are 5 digits. Therefore, the product has more than four decimal places.

Why B is incorrect: 0.31 can be written as 0.31000. If you compare 0.00961 to 0.31000, it is obvious that 0.00961 is less than 0.31000. BUT, 0.031 can be written as 0.03100, and if you compare 0.03100 to 0.00961, it is obvious that 0.00961 is STILL less than 0.03100. The product is less than 0.31 and less than 0.031, therefore this answer is incorrect.

Why C is correct: ^^^

Why D is incorrect: It has been argued that 0.00961 is already less than 0.31000 and 0.031000, and as you may already know, these digits are less than 1. We can conclude that 0.00961, our product, is less than 1. 1 can also be written as 1.00000, and if we compare it to 0.00961, 1 is greater. 1 is a whole number and 0.00961 is not.

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Sonya expected to get $60 for her birthday ,but she only got $40.What was the percentage decrease of the amount Sonya recieved?

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3 years ago

Read 2 more answers

His new employer has offered Malcom Davis a choice of profit-sharing plans. For Plan A, he can receive 1/90 of the company’s gro

Strike441 [17]

Malcom Davis earnings is an illustration of equations and proportions.

The equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$
The gross income must be $300000, for Dave to earn the same amount with either plan.
His earning is $3333.33 when the plans are the same.

Let the profit be P, and the gross income be G.

So, we have:

$\mathbf{P= G - 100000}$

(a) The equations

For plan A, we have:

$\mathbf{A = \frac{1}{90}G}$ ----1/90 of the company's gross income

For plan B, we have:

$\mathbf{B = \frac{1}{60}P}$ ----1/90 of the company's profit

When both are the same, we have:

$\mathbf{A= B}$

This gives

$\mathbf{\frac{1}{90}G= \frac{1}{60}P}$

Substitute $\mathbf{P= G - 100000}$

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Hence, the equation is: $\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

(b) Solve the equation in (a), and intepret

$\mathbf{\frac{1}{90}G= \frac{1}{60}(G- 100000)}$

Cross multiply

$\mathbf{60G = 90G - 9000 000}$

Collect like terms

$\mathbf{90G - 60G = 9000 000}$

$\mathbf{30G = 9000 000}$

Divide both sides by 30

$\mathbf{G = 3000 00}$

The gross income must be $300000, for Dave to earn the same amount with either plan.

(c) His earnings based on (c)

We have:

$\mathbf{A = \frac{1}{90}G}$

Substitute $\mathbf{G = 3000 00}$

$\mathbf{A = \frac{1}{90} \times 300000}$

$\mathbf{A = 3333.33}$

His earning is $3333.33 when the plans are the same

(d) If the gross income in less than (b)

If the gross income is less than $300,000, then plan A would better for Malcom Davis, because his earnings in plan A would be greater than plan B

Read more about equations at:

brainly.com/question/20893366

8 0

3 years ago

How many months does it take to earn $180 in interest on an investment of the principal is $5000 and the interest rate is 2%?

12345 [234]

Answer:

months = 6.67

Step-by-step explanation:

time in years = interest / (principal amount x rate)

time in y = 180 / (5000 x 0.02)

time in y = 180 / 100

time in months = 12 / 1.8

months = 6.67

7 0

3 years ago

Please help I dont know what to do!!!

Olenka [21]

Hey John

Let's start solving #1

x/4 = 3.5/28
Cross multiply
(x)(28) = (3.5)(4)
28x = 14
Divide both sides by 28
28x/28 = 14/28
x = 1/2

Next, let's solve the second one

$\frac{3}{5} + \frac{4}{5x} + \frac{7}{10x} + 1 \frac{1}{2} = 5 \frac{3}{5}$
Simplifies to:
$\frac{105x+75}{50x} = \frac{28}{5}$
Cross multiply
(105x + 75)(5) = (28)(50x)
525x + 375 = 1400x
Subtract 1400x to both sides
525x + 375 - 1400x = 1400x - 1400x
-875x + 375 = 0
Then subtract 375 from both sides
-875x + 375 - 375 = 0 - 375
-875x = -375
To find x, divide both sides by -875
-875x/-875 = -375/-875
x = 3/7

Let me know if you have questions about the answer.

Best of luck with your studies!

6 0

4 years ago