Nathan and Steven stacked boxes on a shelf. Nathan lifted 13 boxes and Steven lifted 15 boxes. The boxes that Nathan lifted each weighed 12 lb more than the boxes Steven lifted.

Let s represent the weight of the boxes that Steven lifted.

Which expression represents the total number of pounds Nathan lifted?

A. s + 12

B. 15(s+12)

C. 12(s+13)

D. 13(s+12)

Luke will drive for 9 hours while Priya will drive for 3 hours.

Driving is the controlled operation and movement of a vehicle, including cars, motorbikes, trucks, buses, and bicycles. Drivers must abide by the local traffic and road laws when driving on public roadways, which are only permitted when a number of requirements are met. The word "driving" has an etymology that dates back to the 15th century, and it has evolved as what driving has included has changed over time, from working animals in the 15th century to automobiles in the 1800s. Since the fifteenth century, driving has also demanded more advanced physical, mental, and safety abilities.

Let number of hours Priya travelled be x and number of hours Luke travelled  be 3x.

Now, Total hours travelled by Priya and Luke;

x+3x=12

x=3

Hence number of hours Priya travelled is 3 hours and Luke travelled for 9 hours.

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Answer:

The equation would change to f(x)=40x+80

Step-by-step explanation:

you add 15 to the 65 as that is the security deposit

Answer: It is Yes

Step-by-step explanation:

1. Since y = 40x + 65 was the original equation, when added 15 dollars to the security deposit, the equation changed by adding 15 into 65, changing it's y-int.

Answer: w>-27

Step-by-step explanation: I believe that this is your answer I am sorry if it is incorrect.

Answer:

13 hours

Step-by-step explanation:

536/8=67

871/67=13

The values of A, B and C are 36, 7 and 3, respectively.

In this problem we have the addition of two positive integers that are divisible to 2. First, we proceed to decompose each element of the addition as a product of prime numbers:

252 = 2² × 3² × 7

108 = 2² × 3³

The greatest common factor is the greatest integer that can be removed from the addition by distributive property. Then, the greatest common factor is 2² × 3² = 36 and finally:

(2² × 3²) · (7 + 3)

36 · (7 + 3)

The values of A, B and C are 36, 7 and 3, respectively.

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Answer:

a. 1.37

b. 1.37

c. 1.37

all of them are 1.37 or they are all 137

Step-by-step explanation:

Answer:

31 oz.

Step-by-step explanation:

8.37/0.27 = 31

if one ounce equals $0.27, then Maria bought 31 ounces with the $8.37

unless she had to pay taxes on it, which wasn;t mentioned so I guess she didn't pay taxes :)

The square root that could be the number shown on the number line is √17

On the number line, the position of the point is

Point = 4.1

Square both sides of the above equation

So, we have"

Point^2 = 4.1^2

This gives

Point^2 = 16.81

Approximate

Point^2 = 17

Hence, the square root that could be the number shown on the number line is √17

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The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; Choice D; 14.2 meters.

It follows from the task content that the pool in discuss is rectangular and hence, the diagonal of the rectangle makes a right triangle with two perpendicular sides of the rectangle.

Hence, from Pythagoras theorem; we have;

hyp² = opp² + adj²

Hence,

D² = 9² + 11²

D² = 81 + 121

D² = 202

D = √202

D = 14.2 rounded to the nearest tenth.

Therefore, The answer choice which represents the length to swim diagonally and expressed to the nearest tenth as required in the task content is; 14.2 meters.

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Answer:

x = - 2

Step-by-step explanation:

x - 3x = 2(4+x)

-2x = 2*4 + 2x

-2x = 8 + 2x

-2x - 2x = 8

-4x = 8

x = 8/-4

x = -2

Check:

-2 - (3*-2) = 2(4+(-2))

-2 - (-6) = 2(2)

-2 + 6 = 4

Answer:

my result is 0 = -7 It has no solutions though since it is a contradiction

Answer: 6x=40

x=40/6

x=6+2/3

Step-by-step explanation: hope this helps!!!

Step-by-step explanation:

4.50+1.50=55-15

6=40 ........

2 3/8 gallons of paint will cover 950 square feet by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

By unitary method,

1 gallon paint covers 400 sq feet.

2 3/8 = [tex]\frac{19}{8}[/tex] gallons of paint will cover: [tex]400(\frac{19}{8})[/tex] = 950 sq. feet

Hence, 2 3/8 gallons of paint will cover 950 square feet by unitary method.

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Answer:

[tex]y = 120x [/tex]

Step-by-step explanation:

Equation of a straight line is

[tex]y = mx + b[/tex]

m= slope of line = rise/run which can be computed by taking two points on the line, finding the difference I the y coordinate values and dividing by the correspoding difference in their x coordinate values

b is the y-intercept where the line crosses the y-sxis

Looking at the graph we can see that the line crosses the y-sxis at the origin (0, 0) so the y-intercept is at y=0

The slope is determined by examining the two highlighted points (3, 360) and (2, 240)

Slope =

[tex] \frac{360 - 240}{3 - 2} = \frac{120 }{1} = 120[/tex]

So equation of line is

[tex]y = 120x + 0[/tex]

or

[tex]y = 120x[/tex]

The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

The arithmetic sequence is given as:

1, .25, blank, -1.25, blank

Replace the blanks in the arithmetic sequence with x and y

So, we have:

1, .25, x, -1.25, y

An arithmetic sequence has a common difference (d)

The common difference is calculated using

d = T2 - T1

So, we have

d = 0.25 - 1

d = x - 0.25

d = y + 1.25

Substitute d = x - 0.25 in d = 0.25 - 1

x - 0.25 = 0.25 - 1

This gives

x = 0.25 + 0.25 - 1

Evaluate the sum

x = -0.5

Substitute d = 0.25 - 1 in d = y + 1.25

0.25 - 1  = y + 1.25

This gives

y = 0.25 - 1 - 1.25

Evaluate

y = -2

Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2

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This testing procedure is an example of a randomized block design experiment.

So, the given situation of a health and fitness company in the testing procedure is an example of a randomized block design experiment.

Therefore, this testing procedure is an example of a randomized block design experiment.

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The correct question is given below:
A health and fitness company is testing a newly designed exercise and weight loss program. It is suspected that the new program is more effective in assisting weight loss. A group of 220 volunteers is first separated into 6 groups, labeled A to F, based upon age and weight such that these qualities are similar within each group. The age and weight of the volunteer is initially measured. Within each group, participants are randomly assigned to either undergo the new exercise program or undergo a conventional exercise program. In addition, the daily calorie intake is set to a particular amount, either low, moderate or high, and maintained at that level for the duration of the program. At the end of six months, the percentage of weight lost is measured for each unit and the results are collected and compared.

This testing procedure is an example of a ____.

Answer:

m = e/c^2

Step-by-step explanation:

e = mc^2

m = e/c^2

Answer: rational

Step-by-step explanation: If a number is terminating number or repeating decimal, then it is rational.

Answer:

Rational

Step-by-step explanation:

If a number has a finite number of digits or could be written in a fraction that consists of numbers with a finite number of digits(-51 and 5 have a finite number of digits), then it is a rational number. Hence, -51/5 is a rational number.

A set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.

As given,

Set of 25 blocks arranged into 5×5 square.

Arrange 3 blocks

Delete column and row belong to filled block

Possibility for

First block =25 ways

Second block=16 ways

Third block =9 ways

Total ways =25×16×9

                 =3600

Therefore, set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.

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The sum of two multiples of 3 is a multiple of 3. This shows the proof is correct.

It should be noted that the information given is to prove that the sum of a multiple of 3 is also a multiple of 3.

This will be illustrated thus. Let's use the numbers 6 and 15. It should be noted that the addition of the numbers will be:

= 6 + 15

= 21

It should be noted that 21 is a multiple of 3. Therefore, the proofing is correct.

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Answer:

"Sighs" should be "Sighed"

The cliff is 98.89 feet tall.

In the attached diagram, we can there are two triangles forming. Small triangle involves Juan and tent and larger triangle involves Juan and cliff. As per the known fact, tan theta = perpendicular ÷ base. So, tan theta will be common for both the triangles. Hence, relating the components of tan theta, of both the triangles.

Smaller triangle :

tan theta = 10/45

Larger triangle :

tan theta = h/(400 + 45)

tan theta = h/445

Relating both the triangles as follows -

10/45 = h/445

Performing cross multiplication

10×445 = h×45

h = 4450÷45

h = 98.89 feet

Hence, the cliff is 98.89 feet tall.

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Answer:

Ratio= 45/135 = 1/3 = 1:3

Step-by-step explanation:

Look at the attachment

Answer:

y=8/5x-3

Step-by-step explanation:

y-5=8/5(x-5)

y-5=8/5*x-8/5*5

y-5=8/5x-(8*5/5)

y-5=8/5x-(40/5)

y-5=8/5x-8

+5         +5

y=8/5x-3

Hope this helps.

Using the percentage concept, it is found that:

a) Her tolerance is of (60 ±  6 minutes).

b) As a percentage, her tolerance times are of 60 minutes (± 10%).

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

For this problem, the interval is between 54 and 66 minutes, that are both within 6 minutes of the mean of 60 minutes, thus:

a) Her tolerance is of (60 ±  6 minutes).

For item b, we want to find the tolerance as a percentage, that is, the percentage that the tolerance of 6 minutes is from the time of 60 minutes, hence:

P = 6/60 x 100% = 0.1 x 100% = 100%.

Hence:

b) As a percentage, her tolerance times are of 60 minutes (± 10%).

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Al must score 96 in his final test to get an average of 81.

An average or mean is one number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group.

If every number in a list is the same number, then the average of the numbers in the list is also this number. Every one of the diverse varieties of average shares this characteristic.

The sum of the  of the numbers 2, 3, 4, 7, and 9 is 25, the average of the numbers is equal to 25 divided by 5=5.

Let Al scores x on final test.

Average score on first 3 tests=76

Total score on first 3 tests=76×3=228

Total score in 4 tests=228+x

Average score of 4 tests=(228+x)÷4

Average to be obtained in 4 tests=81

therefore we can equate the two expressions to calculate x.

(228+x)÷4=81

or, 228+x=324

or,x=324-228

or, x=96

Hence Al needs to get 96 on his final test so that his average is 81.

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Answer:

Step-by-step explanation:

2030-230=1800

1800/75=24

Step-by-step explanation:

B: translated across the y axis and shifted upwards 2 units.

Considering the function for his salary, his gross pay is of $409.13.

His gross pay is modeled by the following function:

P(x,y,z) = 3.75x + 3.75(1.5)y + 0.15z.

In which:

For this problem, the parameters are given as follows:

x = 25, y = 5, z = 1915.

Hence his pay is given by:

P(25,5,1915) = 3.75(25) + 3.75(1.5)(5) + 0.15(1915) = $409.13.

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