Name two different numbers that round to 8.21 when rounded to the nearest hundredth

Answers

Answer 1
Answer:

Answer:

The two different numbers are 8.211 and 8.209 that round to 8.21 when rounded to the nearest hundredth

Step-by-step explanation:

Given : Number 8.21.

To find : Name two different numbers that round to 8.21 when rounded to the nearest hundredth?

Solution :

To round to the nearest hundredth, we use the thousandths place to determine whether the hundredths place rounds up or stays the same.

We have top round such that number became 8.21.

So, There are two ways to pick the number

1) The thousandths place value is greater than or equal to 5 and hundredths place is 0 then it round to required number.

Example - 8.205,8.206,8.207,8.208,8.209

2) The thousandths place value is less than 5 and hundredths place is 1 then it round to required number.

Example - 8.211,8.212,8.213,8.214

Therefore, The two different numbers are 8.211 and 8.209 that round to 8.21 when rounded to the nearest hundredth

Answer 2
Answer: There's an infinite amount of numbers that round to 8.21 when rounded to the nearest hundredth, for example:

8.211
8.209
8.214
8.21145683204
etc...

Just pick whichever two numbers you like :)

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Let f(x)=3x+5 and g(x)=x^2. Find (f+g)(x)

A) x^2+3x+5

B) 3x^3+5x^2

C) 3x^2+5

D) x^3+5

Answers

f(x)= 3x+5 and g(x)= x²

find (f+g)(x)

substitute g(x) into f(x)

3(x²)+5

the answer is C

3 {x}^(3)  + 5 {x}^(2)

Match the points on the number line with the rational numbers

Answers

Step-by-step explanation:

A is matched with -1 6/8

B is matched with -1 2/8

C is matched with -0.5

D is matched with 1

E is matched with 1 5/8

Find the value of the expression below for x=10x² - 2(x + 5)

A. 10
B. 70
C. 85
D. 90

Answers

Answer is B

Work:
10^2 -2(10+5)
100- 2(15)
100-30
=70

Can someone help me with this question? It's related to equations.

Answers

There’s infinite solutions

Find the volume of a rectangular prism with length 2 m, width 7 m, and height 9 m.

Answers

Answer:

126 cubic meter

Step-by-step explanation:

because  the formula of rectangular is l*w*h

best rentals charges a daily fee plus a mileage fee for renting its cars. barney was charged $159 for 3 days and 300 miles, while mary was charged $289 for 5 days and 600 miles. what does best rental charge per day and per mile?

Answers

Answer:

Let charge per day be $x  and charge per mile be $y  

then:

as per the given condition we have;

3x + 300y =159          .....[1]

5x + 600y = 289       .....[2]

Multiply equation [1] both sides by 5 we get;

5(3x+300y) = 5 \cdot 159

Using distributive property: a \cdot(b+c) = a\cdot b+ a\cdot c

15x+1500y = 795                 .....[3]

Multiply equation [2] by 3 both sides we get;

3(5x+600y) = 3 \cdot 289

Using distributive property: a \cdot(b+c) = a\cdot b+ a\cdot c

15x+1800y = 867                    .....[4]

Subtract equation [3] from [4] to eliminate x and solve for y;

15x+1800y-15x-1500y = 867 -795

Combined like terms;

300y = 72

Divide both sides by 300 we get;

y = (72)/(300)=0.24

⇒  y =$0.24 per mile.

Now substitute this value y in equation [1] to solve for x;

3x + 300(0.24) =159

3x + 72 =159

Subtract 72 both sides we get;

3x + 72 -72 = 159 -72

Simplify:

3x = 87

Divide both sides by 3 we get;

x = (87)/(3) = 29

Therefore, the best rental charges per day is, $ 29 and the charges per mile is, $0.24