Julian and Lana were working on determining the sum for the following problem: (4.01 × 105) + (9.59 × 107). Julian said the first step is to rewrite 4.01 × 105 as 0.0401 × 107. Lana said the first step is to rewrite 9.59 × 107 as 959 × 105. Which person is correct? Why?
a) Julian is correct because both numbers will have the same power of 10.
b) Lana is correct because both numbers will have the same power of 10.
c) Both are correct because the goal is to get both numbers to have the same power of 10.
d) Neither student is correct. The first step is to add the coefficients.

Answer: a) the dairy section and the meat section

Step-by-step explanation:

Answer:

+7  or -7

Step-by-step explanation:

25^2 - 24^2 = b^2

625 - 576 = b^2

49 = b^2

+7 or -7 = b

Answer:

b =-7 , b=7

Step-by-step explanation:

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Hello!

value                             29, 30, 35, 37, 42, 48, 51, 59, 63, 66, 68

effective                        2     1     1     1     1     1     1     1     1     1     1

cumulate effective       2     3     4    5    6    7    8    9    10   11   12

median:

12/2 = 6

The 6th cumulate effective corresponds to the value 42.

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

Answer:

85 degrees

Step-by-step explanation:

The shaded portion of the figure in square feet is 78.5 ft².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses.

As, its diagonal is equal to the diameter of the circle which is 10 feet.

Let the width of the rectangle be x, then its length is 10-x.

Using the Pythagorean theorem, we can write:

x² + (10-x)² = 10²

2x² - 20x + 100 = 100

2x² - 20x = 0

2x(x-10) = 0

x =10, which means the rectangle is actually a square.

Therefore, its area is 10² = 100 square feet.

Now, the area of the shaded portion is

= area of the circle - area of the square.

Then, Radius is 5 feet.

So, the area of the circle

= π(5²)

= 25π square feet.

Therefore, the area of the shaded portion is:

= 25π - 100

≈ 78.5 square feet.

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Answer:

9

Step-by-step explanation:

Using the property that  

a

m

a

n

=

a

m

−

n

, we have

3

4

2

2

=

3

4

−

2

=

3

2

=

9

Note that if we evaluated the numerator and denominator first, we would arrive at the same result:

3

4

3

2

=

81

9

=

9

Answer:

17/16

Step-by-step explanation:

divide the numerator by 2 then

divide the denominator by 2 to get

17/16

Answer: the variable can not be replaced by any other number

Step-by-step explanation:

Answer:

The first option, V ≈ 1607.7 in²

Step-by-step explanation:

Find the volume of the given cylinder.

\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)

Given:

r = 8 in

h = 8 in

π = 3.14

Find:

V = ?? in³

\(\hrulefill\)

Now solving,

Substitute the given values into the formula:

=> V = (3.14)(8)²(8)

Using a calculator to simplify:

=> V = 1607.68 in²

Rounded to the nearest tenth:

∴ V ≈ 1607.7 in²

Thus, the first option is correct.

The value of Mark's car, V(t), can be represented by functions V(t) = 12,000(0.90)t, which is the correct answer would be an option (B).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

Mark buys a used car for $12,000. The value of the car depreciates 10% per year from the time he bought the car.

As per the given situation, the mathematical expression would be as:

V(t) = (P- r % of P)t

Here P = $12,000, and r = 10%

V(t) = (12,000 - 10% of 12,000 )t

V(t) = 12,000(1 - 10%)t

V(t) = 12,000(1 - 10/100)t

V(t) = 12,000(1 - 0.10)t

V(t) = 12,000(0.90)t

Therefore, the value of Mark's car, V(t), can be represented by functions V(t) = 12,000(0.90)t.

Hence, the correct answer would be an option (B).

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Answer:1  i think

Step-by-step explanation:

Answer: 1)The median number of hours spent on Math was about 3.

13 because 27_ 14=13. and yah.

Answer:

y = 219 -6x

Step-by-step explanation:

The money she will have remaining (y), will be the amount of money she started with subtracted by the amount of money spent each week multiplied by the number of weeks (x)

Answer:

da first one

Step-by-step explanation:

Answer:

the guy on the top is right

Step-by-step explanation:

I took the quiz

Answer: $125

Step-by-step explanation:

1/80=x/10,000

10,000/80=125

Hope this helped!

Answer:125 yen

Step-by-step explanation:
Ratio and proportion

Ratio=1:80=x:10,000

x represents dollars which is unknown

1/80=x/10,000

Then you cross multiply

80x=10,000

80x/80=10,000/80

x=125

Therefore,$125 will give you 10,000yen

Answer:a equation 11-4=x solution x=7. b equation 9+5=x solution x=14. C equation 7+7=x solution x=14. D equation 2+9=x solution x=11

Step-by-step explanation:yw;)

Answer:

x= - 50/9

Step-by-step explanation:

multipy both equations by 12

9x+60=10

then move the constant to the right hand side and change it's sign

9x= 10 - 60

calculate difference

9x = -50

divide both sides by 9

x= - 50/9

Answer The answer will be "A" - 46 - 2x ≤ 30

Step-by-step explanation:

The ultimatum is the weight has to be equal to or under 30. This is the only answer that you provided that supported that.

46 - 30 = 16

16 / 2 = 8

At two pounds per week it will take 8 weeks to lose 16 pounds.

Answer:

r = 6

Step-by-step explanation:

The formula for the volume of a cylinder is  V = πr^2h,

If the volume of the cylinder is 144π cubic yards and the height of the cylinder is 4 yards it can be written as 144π = πr^2 * 4

You can then solve for r by dividing both sides of the equation by 4π:

r^2 = 36

r = 6

I think its A. -2.

sorry if wrong.

Answer: -8

Step-by-step explanation: Remove Parentheses, then Subtract

4 from -4 and you get -8

-4+(-4) = -8

In the real number system, a negative number is a number that is less than zero.

Given are two negative numbers, -4 and -4

Adding two negative numbers is: you're just adding two "negative" arrows, so it's just like "regular" addition, but in the opposite direction. For instance, 4 + 6 = 10, and −4 − 6 = −4 + (−6) = −10.

Therefore, -4 + (-4) = -4-4 = -8

Hence, -4 + (-4) = -4-4 = -8

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Answer: 2nd answer

Step-by-step explanation:

Answer:

The second one -   5 + (-6)

Step-by-step explanation:

When you are adding a positive number to a negative, the addition gets cancelled out, making he equation

5  -  6

Hope that helped!

Answer:

15.6

Step-by-step explanation:

The price of trail mix has increased by $12 * 30/100 = $<<12*30/100=3.6>>3.6.

So the price per pound of trail mix now is $12 + $3.6 = $<<12+3.6=15.6>>15.6.

The required new price of the trail mix is $15.6 .

Percentage is a measurement to find value of given number out of hundred.

Given that,

The normal cost of trail mix at the grocery store = $12 per pound.

Als0, the price of the trail mix increased by 30%.

To find the price of trail mix after increasing the price,

Use percentage property,

Let the initial price was 100 %

So after increasing 30%, the new price becomes 130%.

The new price = 12 x 130% = 12 x 130 / 100 = 1560/100 = 15.6

The increased price of the trail mix is $15.6.

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Answer:

109 students need to attend

Step-by-step explanation:

156 + 280 = 436

436 ÷ 4 = 109