Kenji wants to divide 48.6 by 0.15. What is the first step that Kenji must complete?

Multiply the divisor and dividend by 10.

Multiply the divisor and dividend by 100.

Divide the divisor and dividend by 100.

Divide the divisor and dividend by 10.

Answers

Answer 1

The first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

What is a division?

A division is a process of splitting a specific amount into equal parts. The number to be divided by another number is called the dividend. The number by which we divide another number (dividend) into equal parts is called the divisor.

For the given situation,

Kenji wants to divide 48.6 by 0.15.

[tex]\frac{48.6}{0.15}[/tex]

Step 1:

To perform division, the first step is to make the divisor and dividend without decimals.

So multiply the divisor and dividend by 100.

⇒ [tex]\frac{48.6}{0.15}=\frac{48.6(100)}{0.15(100)}[/tex]

⇒ [tex]\frac{4860}{15}[/tex]

Hence we can conclude that the first step that Kenji must complete is option (B) multiply the divisor and dividend by 100 is the correct answer.

Learn more about division here                

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Related Questions

-4(2x-6)=-(4x-9)-2x+3

Answers

-4(2x-6)=-(4x-9)-2x+3
First, you multiply -4 by 2x and -6: -8x+24=-(4x-9)-2x+3 is what you will get. Then, you would do the same thing to the other side...since there isn't a number in front of the parenthesis its concidered as -1, so you would multiply -1 by 4x and -9 to get: -8x+24=-4x+9-2x+3
Then, you would add -4x to -2x to get -6x. Then you would add 9 and 3 to get 12: -8x+24=-6x+12. Then, you would add 6x on both sides: -2x+24=12. Then you would subtract 24 on both sides to get, -2x=-12. Then, you would divide both sides by -2 and your answer would be 6. x=6

Find the product of 0.094 ×0.367

Answers

0.034498 is the answer

Which fraction has a value greater than 0.4

Answers

1/2, 5/8, 3/4, could you give us the fractions please

Any fraction that is greater than 0.4! 0.4 as a fraction is 2/5, so as long as the fraction is greater than 2/5 then you are good!

A simple way to figure it out is cross multiplication. For example, let's say we need to compare 5/6 to 2/5. In order to do this, multiply across.

5       2
-       -
6       5    We multiply 5 by 5 and 6 by 2. We know that 25 is greater, therefore, 5/6 is greater. 

IF this helped please rate, thank, and give brainliest answer!

The function y=2x+4 has a domain of 2,3,5,7, and 8.
What number is not in the range of the function?
8
12
18
20

Answers

The answer is 12 because:
2(2)+4= 8
2(3)+4=10
2(5)+4=14
2(7)+4=18
2(8)+4=20
But no numbers in the domain will give you 12 as a value of y

the lines shown below are perpendicular. if the green line has a slope of 1/7, what is the slope of the red line?

Answers

Answer: it's -7


Step-by-step explanation:


Answer:

Therefore, the slope of the red line must be -7

Step-by-step explanation:

If the two lines are said to be perpendicular each other, then the multiplicative of their slope is -1.

Let "m1" be the slope a line and "m2" be the slope of the perpendicular line.

So, m1*m2 = -1

Here, let's take "m1" be the slope of the green line and "m2" be the slope of the red line.

They said to be perpendicular to each other.

So, m1*m2 = -1

Given: m1 = 1/7

NOw plug in m1 = 1/7 in the above statement, we get

1/7 *m2 = -1

Let's find the value of m2, multiply both sides by the reciprocal of 1/7

The reciprocal of 1/7 is 7.

7*1/7*m2 = -1*7

7/7.m2 = -7

m2 = -7

Therefore, the slope of the red line must be -7

209,767 rounded to the nearest 10,000

Answers

210,000 is your answer
[REMINDER]
(Whenever a particular number is greater than 5 regardless of where it is placed, can be rounded up).

[ANSWER
Since the 9 in 9767 is greater than 5 the answer is therefore 210,000

Stumped on how to solve this one! The numbers just aren't making sense to me

Answers

30=3/5

so 10 miles = 1/5 on the map

there re 5/5 per inch, so 4 inches = 4*5 = 20/5

20*10 = 200

 so they are 200 miles apart


Find the GFC of 56 and 84. A factor tree for 84 is given below. The GCF of 84 and 56 is .

Answers

The GCF of 84 and 56 is 28.

The greatest common factor of the given numbers is 4.

The given numbers are 56 and 84.

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

Here, the factors of given numbers are

56 = 2×2×2×7

84 = 2×2×3×7

Now, the common factors from the above factorization is 2×2

= 4

Therefore, the greatest common factor of the given numbers is 4.

To learn more about the greatest common factor visit:

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During low tide, the beachfront in some places is about 350 from the ocean to the homes . High tide can change the width of a beach at a rate of -17 feet each hour . It takes 6 hours for the ocean to move from low to high tide . What is the change in the width of the beachfront from low to high tide ?

Answers

the change in width would be -17 * 6 = -102 feet

distance from the ocean to the houses would be 350-102= 248 feet

What are the solution(s) of –x2 + 2x + 3 = x2 – 2x + 3?
a. 1 and 3
b. 0 and 2
c. 0
d. 3
HURRY IM BEING TIMED!!

Answers

-x^2+2x+3=x^2-2x+3  add x^2 to both sides

2x+3=2x^2-2x+3  subtract 2x from both sides

3=2x^2-4x+3  subtract 3 from both sides

2x^2-4x=0  factor

2x(x-2)=0

So x=0 and 2

Answer:

Step-by-step explanation:

Given:  –x² + 2x + 3 = x² – 2x + 3 .

To find: What are the solution(s) .

Solution: we have given that

–x² + 2x + 3 = x² – 2x + 3 .

 On subtracting both side by x² .

-2x² + 2x + 3 =  x² - x² - 2x + 3

-2x² + 2x + 3 = -2x +3

On Addition both side by 2x .

-2x² + 2x + 2x + 3  =-2x  +2x +3

-2x² + 4x  + 3  = 3

On subtracting both side by -3  .

-2x² + 4x  + 3  -3 = 3  - 3

-2x² + 4x   = 0

Taking common  2x .

2x (- x +2 ) =0 .

On grouping  .

2x= 0

so x= 0

Now , -x +2 =0 .

-x = -2 .

On dividing by -1

x= 2

Therefore , option B is 0 and 2 .

Another struggle.... Helppp

Answers

This inequality can be transformed into:

(x-7)(x+5) > 0

So the threshold points are x= 7 and x = -5

Then you can find that: when x > 7 and x < -5, this inequality works

So the solution is (-∞, -5) ∪ (7, ∞)
This is not easy ...

First you have to write it as an equation = 0:


x^2-2x-35 = 0.

Then, find the roots with he quadratic formula:

x = (2 +/- sqrt(4 + 280))/2, sqrt(284) = 16.85 ...

Uh, so now with roots:

sqrt(284) = sqrt( 4*71) = 2*sqrt(71), sounds too difficult for an online question ...

Let's move on:

roots = 1+/- sqrt(71), so

x^2 - 2*x -35 = (x - 1 - sqrt(71))*(x - 1 + sqrt(71))

You have to try values less, in between or greater than the roots. GOing straight to the point,

(-infinity, 1 - sqrt(71) ) And ( 1 +  sqrt(71), infinity)


s the work shown below correct? Explain your answer. (11 + 2i ) – (3 – 10i ) = 11 + 2i – 3 – 10i = (11 – 3) + (2i – 10i) = 8 – 8i

Answers

No, because [tex]-(3-10i)=-3+10i[/tex]

Answer:

Given that: [tex](11+2i)-(3-10i)[/tex]

Remove the parentheses, we have;

[tex]11+2i-3+10i[/tex]

Like terms are those terms which have same variables to the same power.

Combine like terms of a constant variable;

[tex](11-3) +2i+10i[/tex]

Similarly, combine like terms of imaginary part, we have;

[tex](11-3) +(2i+10i)[/tex]

Simplify:

[tex]8 +(12i)[/tex]

or

[tex]8+12i[/tex]

Therefore, the correct solution of [tex](11+2i)-(3-10i)[/tex] = [tex]8+12i[/tex]

Of the 8760 hours in a​ year, one television was on for
1752 hours. What percent is​ this?

Answers

The percentage is 20%. 8760/1752=5 100/5=20.

the distance around the tire or a motorized scooter is 21.98. the tires make one revolutioneer 1/10 second.Find the speed of the scooter in miles per hour.

Answers

for every 1/10 second it travels 21.98 inches

for a full second it travels 21.98 x 10 = 219.8 inches

for 1 minute it travels 219.8 x 60 = 2820 inches / 12 = 235 feet per minute

 235*60 = 14100 feet per hour

5280 feet per mile

14100/5280 = 2.67 = 2.7 miles per hour

The speed of the scooter with a tire circumference of 21.98 inches rotating at 1/10 second per revolution is approximately 12.5 mph after converting the distance traveled in inches per second to miles per hour.

To calculate the speed of the scooter in miles per hour, we first need to determine how far the scooter travels in 1 second. Since the tires make one revolution every 1/10 of a second, and the distance around one tire is 21.98 inches, in one second the tire will cover a distance equal to 10 revolutions (because 1 second divided by 1/10 second per revolution equals 10 revolutions). Hence, the scooter travels 21.98 inches  imes 10 revolutions = 219.8 inches per second.

To convert this speed to miles per hour, we'll first convert inches to miles (1 mile = 63,360 inches), then seconds to hours (1 hour = 3600 seconds).

Calculate Miles per Hour
Speed in miles per second = 219.8 inches/s  imes (1 mile / 63360 inches) = 0.003468 miles per second.
Speed in miles per hour = 0.003468 miles/s  imes 3600 s/h = 12.4848 mph.

Therefore, the speed of the scooter is approximately 12.5 mph.

Holly earns $30 for babysitting 5 hours. She earns $28 when she does chores for 4 hours. Which compares the unit rates?

Answers

The rate of earning money for both activities will be calculated by dividing the amount earned by the total time spent for each of the activity.

 Babysitting:         rate = ($30 / 5 hours ) = $6 / hour

 Doing chores:      rate = ($28 / 4 hours) = $7 / hour 

Thus, Holly is able to earn money faster when doing the chores compared to when she do the babysitting if she work for the same amount of time for each. 

Answer:

The unit rate for doing chores is $1 more than the unit rate for babysitting.

Step-by-step explanation:

30 divided by 5=6  So that means it was six dollars for babysitting.

28 divided by four=7  So that means it was seven dollars for babysitting.




Sarah is making flower arrangements. She has 15 roses and 10 daisies. If she wants to make all identical arrangements, with no flowers leftover, what is the greatest number of arrangements she can make? And how much of each flower will be in each arrangement

Answers

find greatest common factor

factor each
15=1*3*5
10=1*2*5

gcf=1*5 or 5

15=5*3
10=5*2

so 5 arrangements, each with 3 roses and 2 dasies

An item has a listed price of $80. If the sales tax rate is 6% , how much is the sales tax (in dollars)?

Answers

$4.80 is the sales tax 

6% = 0.06

80 x 0.06 = 4.80

 the tax is $4.80

A cheetah runs at a speed of 54 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?

A.) d = 54t
B.) t = 54d
C.) d = 54 + t
D.) t = 54 + d

Answers

answer

A.) d = 54t

hope it helps

you would multiply the number of  hours (t) by the speed (54) to find the distance (d)

 so A) d=54t

Write a conjecture for the pattern of the sequence

Answers

Final answer:

To conjecture a sequence, one must identify and extend the observable pattern, much like the quark hypothesis predicted unseen particles, or like recognizing the vowel sounds in specific linguistic patterns.

Explanation:

In mathematics, creating a conjecture for a sequence involves analyzing the given numbers or patterns and predicting the next element based on the identified pattern. The process comparable to what the developers of the quark hypothesis did, working to predict unknown elements based on established patterns, can aid us in formulating a conjecture for the sequence in question.

For instance, if we refer to the resonance frequencies of a closed tube which form a pattern represented by the formula An = L / (4n) where n is an odd number, we can conjecture that the next frequency in the sequence would be determined by the next odd integer following the last one used.

Similarly, the binomial theorem expansion shows a pattern of coefficients that can be used to conjecture future terms in a binomial expansion. Analyzing patterns like VCC and VCle that determine whether the vowel sound should be long or short in English offer a linguistic parallel to mathematical pattern predictions.

Final answer:

To create a conjecture for a sequence, examine the values and look for a consistent relationship or rule. An example is adding 3 to the previous term in the sequence.

Explanation:

A conjecture for the pattern of a sequence can be created by examining the values in the sequence and looking for a consistent relationship or rule. For example, if the sequence is 1, 4, 7, 10, 13, the conjecture may be that each term is obtained by adding 3 to the previous term. This can be represented mathematically as An = A(n-1) + 3, where An represents the nth term in the sequence.

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Answers

A polar coordinate is that which can be written as (r, θ) where r is the radius and θ is the angle. 

The radius, r, is also the hypotenuse of the right triangle that can be formed. Hence, it can be calculated through the equation,
    
                   r² = x² + y²
If we are to simplify this for the r alone, we have,
                     r = sqrt (x² + y²)

Substituting the known values,
               r = sqrt ((4)² + (-4)²) = 4√2

The x and y can be related through the trigonometric function, tangent. 
      tan θ = y/x
To solve for θ
   θ = tan⁻¹(y/x) = tan⁻¹(-4/4) = -45° = 315°

Hence, the polar coordinate is (4√2, 315°)

Answer:

(4 square root 2, 315°), (-4 square root 2, 135°)

Step-by-step explanation:

Find the value of the expression m4 - m3 - 2m2 + 10m + 15 when m = -3.

Answers

In this case sense its m= -3 then your answer is -6 

Write the equivalent decimal and fraction for each percent.

Percent: 15%
Percent:120%
Percent:36%
Percent:22%
Percent:54%
Percent:205%
_______________________________________________________________
For each fraction or decimal, write the equivalent percent.
3/25 =
4.06 =
0.01 =
1/8 =
2/5 =
0.6%
__________________________________________________________

90% or 120 is:___
3.6 or 5% of:___
37 1/2 or 64 is:____
39 is __% of 52
110% or 55 is____
18 is 40% of ____
27 is ___ % of 108
35 is 25% of ___
28 is __% of 20
82 is ___% of 40


Answers

Percent: 15% = 0.15
Percent:120% = 1.2
Percent:36% = 0.36
Percent:22% = 0.22
Percent:54% = 0.54
Percent:205% = 2.05

3/25 = 12%
4.06 = 406%
0.01 = 1%
1/8 = 12.5%
2/5 = 40%
0.6% = 60%


Answer:

15% = 0.15

120% = 1.2

36% = 0.36

:22% = 0.22

54% = 0.54

205% = 2.05

3/25 = 12%

4.06 = 406%

0.01 = 1%

1/8 = 12.5%

2/5 = 40%

0.6% = 60%

Hope this helps :)

In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?
(10, 7)
(14, 7)
(12, 7)
(8, 7)

Answers

From the coordinate plane, we can see that the enlarged point A refers to point F, and enlarged point D refers to point I. To solve for this problem, we know that the ratios of each side should be similar (both the original and enlarged). Since the given choices have all y values equal to 7, so we have to look for the enlarged point of point G. Let us call that point as point C.

In this case, we take the ratio of side IF and side FG. First solving for length using distance formula:

IF^2 = (2 – 4)^2 + (-4 - -2)^2

IF^2 = 8

IF = sqrt 8

 

FG^2 = (7 – 4)^2 + (-2 - -2)^2

FG^2 = 9

FG = 3

 

Therefore the ratio of IF/FG must be equal to the ratio of DA / AC:

IF / FG = DA / AC

Find DA first:

DA^2 = (-10 - -2)^2 + (-1 -7)^2

DA^2 = 128

DA = sqrt 128

So,

sqrt 8 / 3 = sqrt 128 / AC

AC = 12

 

Finding for point C:          y  of point C = 7

AC^2 = (x - -2)^2 + (7 – 7)^2

12^2 = (x + 2)^2

x + 2 = 12

x = 10

 

Answer:

(10, 7)

How fast was Matt driving if he drove 415 miles in 7 hours?

Answers

He was driving 59 mph

The speed of Matt nearest to tenth place will be 59.3 miles per hour.

What is speed?

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Matt drove 415 miles in 7 hours. Then the speed of Matt is calculated as,

Speed = 415 / 7

Simplify the equation, then we have

Speed = 59.2857 miles per hour

Speed = 59.3 miles per hour

The speed of Matt closest to the 10th spot will be 59.3 miles each hour.

More about the speed link is given below.

https://brainly.com/question/7359669

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You are a self-employed plumber. Your charges are: $22.50 per hour for labor, $0.50 per mile for travel to and from home, and the cost of materials plus 5%. Your last job was 35 miles from home. You took 4.5 hours to complete the job. The parts cost $350. Your invoice to the customer was for $468.75.

Was the invoice correct? If not, why?

A)No. You did not charge for travel.
B)Yes. The invoice was correct.
C)No. You charged too much for materials.    (ANSWER)
D)No. You charged too much for travel.

Answers

22.50 per hr for 4.5 hrs = 101.25...work pay
35 miles at 0.50 per mile = 0.50(35) = 17.50...travel pay
parts : 350 * 1.05 = 367.50...parts and taxes
total : 101.25 + 17.50 + 367.50 = 486.25

486.25 - 468.75 = 17.50.

answer is : The invoice is incorrect....he did not charge for travel <==

You walk east 720 feet to get from your house to class. After class, you walk southwest 1,044 feet to meet your friends for lunch. When walking the 756 feet back home from lunch, what direction are you traveling?

Answers

The direction you are traveling to get back home is North

On a standard circular 12-hour clock, the numerals 12 and 6 are opposite each other. On the planet Bajor, they use a circular ten-hour clock with the numerals 1 to 10 equally spaced. What pair of opposite numerals on a Bajorian clock has a sum of 11?
Please add an explanation with your answer.

Answers

Opposite Numbers and their Sums:

1+6=7
2+7=9
3+8=11
4+9=13
5+10=15

Because of this, the pair of opposite numbers are 3 and 8 if you want the pair that equal 11.

(1-sec x)/(1-cos x) = -sec x
I got up to this:
(cos x - 1)/ (cos x(1 - cos x)

Can you help me verify the following identity?

Answers

We are given the trigonometric equation:

(1 - sec x) / (1 - cos x) = - sec x

 

Since the left side has more terms, then let us work on that side to make it exactly like the right side.

We know that sec = 1 / cos, therefore:

(1 – 1 / cos x) / (1 – cos x) = - sec x

[(cos x – 1) / cos x] / (1 – cos x) = - sec x

[- (1 – cos x) / cos x] / (1 – cos x) = - sec x

Cancelling out the term (1 – cos x):

- 1 / cos x = - sec x

- sec x = - sec x

PROVEN!

Tony is training to run a marathon. He has already run 2 miles today and is running additional miles at 6 miles per hour. Write an equation that represents the miles, M, that Tony runs, where h represents the number of hours

Answers

M = 6h + 2 <=== ur equation
M=2 + 6 x H is the answer because he already ran 2 miles so you add that to 6 x H because he runs 6 miles an hour for H hours so M=2 + 6 x H is your equation.

What is the answer to this.
2 1/3 + 3 1/4

Answers

first you make them into improper fractions

2 1/3 = 3 + 3 + 1 /3 = 7/3
3 1/4 = 4 + 4 + 4 + 1 /4 = 13/4

Then you make a common denominator

7/3 + 13/4 = x/12 + y/12

13 x 3 = x, and 7 x 4 = y  ( do cross multiplication)

39/12 + 28/12 = 67/12 ( answer in improper fraction)

67/12 = 12 + 12 + 12 + 12 + 12 + 7 

5 7/12 is your answer in mixed fraction

hope this helps
2 1/3 + 3 1/4 = 5 7/12

1. First, you have to find a common denominator... 12
     - 3: 3, 6, 9, 12, 15...
     - 4: 4, 8, 12, 16, 20...
  - Both have an LCM as 12, so that is the common denominator.

2. Second, you make the fractions equivalent to when the denominator is 12...
     - 1/3 x 4 = 4/12
     - 1/4 x 3 = 3/12

3. Lastly, add...
     - 2 4/12 + 3 3/12 = 5 7/12


Hope this helped! :)
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