Ben thinks that the largest place value that 5.6 and 1.78 have in common is the tenths place. Nichole thinks that the largest place value they have in common is the ones place.

Answer the following in complete sentences:

Who is correct, Ben or Nichole?
Write how you would explain your answer to the person who answered incorrectly.

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

[tex]x+5[/tex]

[tex]x^{1-1} [/tex]

[tex]x^{0} [/tex]

[tex] = 1 [/tex]

─────────────────────┈

[tex](2x + 3)[/tex]

[tex]2x^{1-1} [/tex]

[tex]2x^{0} [/tex]

[tex]2\times 1 [/tex]

[tex] = 2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Answer:

[tex]\fbox{Gradient of curve = -6}[/tex]

Step by step explanation:

Given:

Equation of curve ↦ xy = 6

Point ↦(1,6)

To find:

The gradient of curve = ?

Solution:

[tex]Using \: the \: equation, \\ xy = 6 \\ [/tex]

Taking log both the side,

[tex]log(xy) = log(6) \\ log(x) + log(y) = log(6) \\ Taking \: derivative \: both \: the \: side \\ \frac{1}{x} + \frac{1}{y} \cdot\frac{dy}{dx} = \: 0 \\ (Derivative \: of \: any \: constant =0) \\ \frac{1}{y} \cdot\frac{dy}{dx} = - \frac{1}{x} \\ \frac{dy}{dx} = - \frac{y}{x} \\ To \: find \: gradient \: at \: point (1,6) \\ \frac{dy}{dx} \mid_{(1,6)} = \frac{ - 6}{1} \\ \frac{dy}{dx} \mid_{(1,6)} = - 6 \\ \fbox{Gradient of curve = -6}[/tex]

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Answer:

[tex]w=8[/tex]

Step-by-step explanation:

[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]

Answer:

w = 8

Step-by-step explanation:

2(2w − 16) = 0

Divide each side by 2

2w-16 = 0

Add 16 to each side

2w-16 +16 =0 +16

2w = 16

Divide each side by 2

2w/2 = 16/2

w = 8

4 years

[tex]per\ year\ earn:2000\times 5\%=100[/tex]

[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]

I hope this helps you

:)

Answer:

4 years

Step-by-step explanation:

Given data

Simple interest= $400

Principal= $2000

Rate= 5%

The simple interest formula is given as

SI=PRT/100

substitute and solve for T

400=2000*5*T/100

cross multiply

400*100= 10000*T

40000=10000T

T= 40000/10000

T= 4 years

Hence the time taken is 4 years

Answer:

C. 0.5..................

17 (1/5) × 17,5 = 301

,..,.

Answer:

0, -6, -12, -18

Step-by-step explanation:

start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.

please give brainliest!!!!

Answer:

No, not all of them are correct.

Step-by-step explanation:

The first one that u picked is incorrect. The second one is correct. And so it the third. I'm not so sure about the last one but pls MARK BRAINLIEST IF IT IS CORRECT

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

Answer:

he has to pay 4980$ in tax So its C) 4,980

The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

An electrician has an income of $41,500.

The income tax the electrician has to pay is 12%.

Then the amount of income tax that the electrician has to pay will be

Amount of income tax = 0.12 × $41500

Amount of income tax = $ 4980

Thus, the amount of income tax that the electrician has to pay is $4980.

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

5²=25

hence the different prime numbers are 2 and 3

The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

Given that, Nidah writes down two different prime numbers.

She adds together her two numbers.

Her answer is a square number less than 30

Square numbers less than 30 are = 1, 4, 9, 16, 25

The pairs of numbers that can satisfy the given condition are;

2 + 7 = 9

2 +23 = 25

3 + 13 = 16

5 + 11 = 16

Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)

For more reference on Prime numbers, click;

https://brainly.com/question/15048606

#SPJ2

[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]

Thus the second option is the correct answer

Answer:

like fractions have the same denominator. So A is correct

Answer:

Step-by-step explanation:

Isolate the term of x from one side of the equation.

[tex]\sf{\sqrt{2x-3}=x-3}[/tex]

2x-3=x²-6x+9

Solve.

[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Using the dot plot, the inference is that the number of flocks observed on the second day was less than in the first.

The dot plot shows the number of times each measure appears in the data-set.

Hence, the mean of the data-set corresponding to day 1 is given by:

M1 = (4 x 4 + 7 x 5 + 7 x 6 + 7 x 7)/25 = 5.68

And the mean of the data-set corresponding to day 2 is given by:

M2 = (2 x 8 + 3 x 7 + 4 x 6 + 5 x 4)/25 = 3.24.

M1 > M2, hence, the inference is that the number of flocks observed on the second day was less than in the first.

More can be learned about dot plots at https://brainly.com/question/24912483

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

To get more about the sector visit:

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Answer:

its c

Step-by-step explanation:

Answer:

36/2^x

Step-by-step explanation:

= 4 X 9 x 1/2^x

= 36/2^x

More earnings:-

Total earnings this year

Answer:

[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]

Step-by-step explanation:

Given:

Last year: $x

Determining the money earned for this year:

This year = 25%   more than       last year

               = $25x/100   +                    $x

               = $x/4           +                 $4x/4

The expression that represents the money earned this year is $x/4 + $4x/4.

Answer:

energy

Step-by-step explanation:

Answer:

energy

Step-by-step explanation:

Answer:

QUienn quieres ser mi ami

Step-by-step explanation:

xd

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

How far both planes travelled is an illustration of distance

Both planes are 510 km apart at 2 pm

The rates of the two planes are given as:

Plane A = 300km/h

Plane B = 45km/h

Calculate the difference (r) in their rates

r = 300km/h - 45km/h

This gives

r = 255km/h

At 2 pm, both planes have travelled for 2 hours.

So, the distance between them is:

d = 255 * 2

d = 510km

Hence, both planes are 510 km apart at 2 pm

Read more about distance and speed at:

https://brainly.com/question/4931057

I believe that y is equal to -5.

y=-5

The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²

The area of a sector is defined as follows:

area = ∅ / 360 × πr²

where

Therefore,

r = 8

∅ = 120°

Hence,

area of the sector = 120 / 360 × π × 8²

area of the sector = 1 / 3 × π × 64

area of the sector = 64π / 3 units²

learn more on area here: https://brainly.com/question/12655272

Answer:

116 2/3 liters of milk

Step-by-step explanation:

4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk

I hope this was good enough. Happy mathing!

Using simple interest, it is found that the prices are as follows:

A. $10,200.

B. $12,614.58.

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

Item a:

$850 for 12 months, hence the yearly cost is:

P = 850 x 12 = $10,200.

Item b:

The total cost is found using simple interest with A(0) = 175000, t = 30, r = 0.03875, hence:

A(t) = A(0)(1 + rt)

A(30) = 175000[1 + 0.03875(30)]

A(30) = 378437.5.

The yearly cost is given by:

378437.5/30 = $12,614.58.

More can be learned about simple interest at https://brainly.com/question/25296782

Answer:

set of numbers that cannot be represented in form of a/b

examples square root of 2, 3, 5 and 6

Answer:

[tex]x=\pm\frac{1}{2}[/tex]

Step-by-step explanation:

On a unit circle, [tex](x,y)=(\cos\theta,\sin\theta)[/tex], so [tex]\sin\theta=\frac{\sqrt{3}}{2}[/tex] in this case. If you look at the attached circle, the only time that the y-coordinate is [tex]\frac{\sqrt{3}}{2}[/tex] is when [tex]x=-\frac{1}{2}[/tex] and [tex]x=\frac{1}{2}[/tex], which correspond to angles of [tex]\theta=\frac{2\pi}{3}[/tex] and [tex]\theta=\frac{\pi}{3}[/tex] respectively