Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8

After reflecting the line in the y-axis, the slope of the line will be positive 2 and the y-intercept remain unchanged.

so the equation of the image is y = 2x + 1.

A reflection over a line is a transformation in which each point of the initial figure (the pre-image) has an image that is on the opposite side of the reflection line from the original point and is situated at the same distance from the reflection line. The pre-size image's and shape are replicated in a reflection.

The line of reflection is typically expressed as y = m x + b y=mx+by, equals, m, x, plus, b. What need I do to draw the line of reflection? The starting points in the figure are all perpendicularly separated from the line of reflection by the same amount as the starting points in the image.

To reflect a line in the y-axis, we need to negate the slope of the line.

The line y = -2x +1 has a slope of -2 and y-intercept of 1.

After reflecting the line in the y-axis, the slope of the line will be positive 2 and the y-intercept remain unchanged.

so the equation of the image is y = 2x + 1.

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Answer:

1/8 + 1/8 + 1/8

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

A. 4

Step-by-step explanation:

3(4)=12

12=12

........

Answer:

C. 7 quarts 3 cups

Step-by-step explanation:

First you add 4 quarts, with 3 quarts to get 7 quarts. Then, you add 1 cup with 2 cups to get 3 cups.

Step-by-step explanation:

7 quarts 3 cups..........

Answer:

8/3 is the answer

Answer:

8/3 multiply 3(denominator) and 2(whole number) then add the 2(numerator)

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

[tex]2i \sqrt{15} [/tex]

Step-by-step explanation:

...................

You can hire around 173 employees. Here's the calculation: $1,900 / ($11/hour * 40 hours/week) = 173.333..., which rounds down to 173.

Answer:

0.02 ; 2%

Step-by-step explanation:

Given :

Cost of item = $480

Tax amount on item = $9.60

The sales tax rate = tax amount on item / cost of item

Sales tax rate = $9.60 / $480 = 0.02

As a percentage :

0.02 * 100% = 2%

Rolling a number less than 1 on a standard six-sided die, numbered

from 1 to 6 is an impossible situation.

Suppose we have a coin with sides heads and tails then the occurrence of a head or a tail is a sure event.

If we observe the given options we can conclude that Rolling a number less than 1 on a standard six-sided die, numbered from 1 to 6 is an impossible situation as we couldn't get a number less than 1 on the die not possible right?

All the other options seem possible in some different ways but the first option is an impossible situation.

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Answer:

c

Step-by-step explanation:

common sense, duh.

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

6 hours

Step-by-step explanation:

The swim team trains 4 days every week, with 1/2 hour in the gym and 1 1/4 hours in the pool on Monday, Tuesday and Thursday. On Saturday, there is no gym, but the swim time is doubled, so the total swim time is 2 1/2 hours.

Therefore, the total time spent training each week is 6 hours.

1/2 hour in the gym plus 5 1/2 hours in the pool.

Answer: The swim team trains for 7 hours and 45 minutes a week.

Step-by-step explanation:

Since the swim team trains in the gym and the pool (collectively) on Monday, Tuesday and Thursday, subsequently we will be multiplying GYM TIME + POOL TIME, 3 TIMES to get the time taken for training on the three days i.e. 3 ( ½ + 1 ¼ ) and add twice the time taken in pool for Saturday i.e. 2(1 ¼ )

                                                                   = 3( ½ + 5/4) + 2(5/4)

                                                                   =31/4

                                = 7 ¾

Multiply ¾ with 60 as 1 hour = 60 minutes to get the answer in time format.

Firstly, convert mixed fractions into improper ones and find the final answer. Then, convert the final answer into Time format i.e. hours and minutes.

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Answer:

Q2 : y= -2x+9

Q4: y= 2x+8

Answer:

C

Step-by-step explanation:

12.3+0.25=12.55

Answer:

C 12.55

Step-by-step explanation:

They are the same unit so 0.25ml+12.3ml=12.55ml

hope it helps :)

The table is completed as shown below and total earnings of Lori is found.

What exactly is total earnings of a person?

The wages paid for both regular working hours and other working hours, including extra work or tips are referred to as total earnings.

Consider Tuesday

Hours worked = 4

Base salary = 4 × 7 ( $7 per hour given)

                     = $28

Tips = 18% of food sales = 0.18 × 300 = $54

Total earnings on Tuesday = 28 + 54 = $82

In the similar way the table can be completed as below.

1) The total earnings of Lori for the week = 82+138.9+218.5+173 = $612.4

2) Total earnings in a year = 52 × 612.4 = $31844.8

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Answer:

It is a one-to-one function

Answer: one to one function

Step-by-step explanation:

The image point of (0, 4) is (0, -4).

The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.

The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.

Given points (0, 4)

to find image of the point (0,4) after a rotation of 180 degrees,

The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).

So,

-0 is just 0 (since 0 is both negative and positive)

-(4) is -4

This makes our new point (0, -5).

Hence the image of point is (0, -4).

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Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

Answer:

51 ft

Step-by-step explanation:

Answer:

Answer is 51 feet or 51'..........

Step-by-step explanation:

let Remus' money be = y

Aaron's = 5/7 y

3/5 * 5/7 y = 3/7 y

balance= 2/7 y

y - 2/7y = 2820

5/7 y= 2820

y = 2820*7/5= 564*7 = 3948

Answer:

52.92

Step-by-step explanation:

The equation to represent the cost of renting the car, given the cost per week and the cost per mile, is y = 42 + 0.25x.

The total cost of renting the car at any given point, would be:

= Cost to rent per week + ( Cost per mile x Number of miles driven)

If we assume the number of miles driven is denoted by x, then the equation becomes :
= 42 + 0. 25 x

If we further take y to be the total cost, the equation then becomes :

y = 42 + 0. 25 x

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Answer:

36

Step-by-step explanation:

permeter is solved by doing length+length+width+width so therefore you would do 13+13+5+5 which equals 36 as your answer

9514 1404 393

Answer:

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  [tex]\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right][/tex]

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

Step-by-step explanation:

the tax rate gives us a ratio of tax amount to value.

this ratio (in our case 1.25/100) is constant for any value.

therefore, when we know how many $1.25 units are in $2000, we know that there are exactly as many $100 units in the value.

in other words, we multiply

1.25/100 × f/f

so that the numerator reaches the total of $2000 of taxes. and then the enumerator gives us the total value.

f = 2000 / 1.25 = 1600

so, we get

1.25/100 × 1600/1600 = 2000 / 160000

so, the value of the condominium is

value = $160,000

Answer:

going to have to to get the house ready

Answer:

Dividing by 5

Step-by-step explanation: