15 POINTS
Question 6
Write an equation of a line with the given slope and y-intercept.

m = 1, b = 4

a.
y = 4x + 1

b.
y = x + 4

c.
y = x – 4

d.
y = –1x + 4

Answer:

1)commutative property of addition

2)commutative property of addition

3)B

Answer:

Step-by-step explanation:

Let the distance be D and time T.

D ∞ T

D = kT

Where k is the constant of proportionality.

k = D/T

When D = 270miles & T = 6hours

k = 270/6

k = 45

:- D = 45T

When T = 8hours

D = 45 × 8

D = 360miles

Answer:

Step-by-step explanation:

As it is a square, length of all sides will be equal.

So OW = WV = VU = OU

Here, OU = a

so, W(a,o) because in x-axis y=0

V (a,a)

$ (40x + 5) is the expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Solution:

Given that,

Charge for ticket = $ (22x + 20)

Charge for checking bag = $ (x + 1)

Charge for food = $ 2x

Charge to upgrade to first class = $ (15x - 16)

To find: Expression to represent the total cost of flying first class, checking the bag, and buying food on the plane

Total cost = Charge for ticket + Charge for checking bag + Charge for food + Charge to upgrade to first class

[tex]Total\ Cost = (22x + 20) + (x + 1) + (2x) + (15x-16)\\\\Total\ Cost = 22x + 20 + x + 1 + 2x + 15x - 16\\\\\text{Combine the like terms}\\\\Total\ Cost = 40x+5[/tex]

Thus the expression to represent total cost is $ 40x + 5

Final answer:

The expression to calculate the total cost of flying first class, checking a bag, and buying food on the airline is calculated by adding the individual expenses, resulting in the simplified expression Total Cost = 40x + 5, where x is the variable that represents part of the costs.

Explanation:

To represent the total cost of flying first class, checking a bag, and buying food on the plane, we need to add the individual costs together. The airline charges $(22x+20) for a ticket, $(x+1) to check a bag, $2x for food, and $(15x-16) to upgrade to first class. Adding these costs together gives us the total cost:

Total Cost = Ticket + Bag + Food + Upgrade
Total Cost = (22x + 20) + (x + 1) + (2x) + (15x - 16)

Combining like terms, the expression simplifies to:

Total Cost = (22x + x + 2x + 15x) + (20 + 1 - 16)
Total Cost = 40x + 5

This expression can be used to calculate the total cost of flying first class with this airline, depending on the value of x.

To find the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, we use the sum formula for geometric series. The common ratio is 3, and there are 6 terms in the series. The sum of the series is 1456.

Evaluating the Sum of a Finite Geometric Series:

To evaluate the sum of the finite geometric series 4 + 12 + 36 + 108 + ... + 972, you need to use the formula for the sum of a finite geometric series:

Sum = a ×([tex]r^{n}[/tex]  - 1) / (r - 1)

where:

Let's identify these values:

To find n, use the formula for the nth term of a geometric series: a * r^(n-1). Given the last term is 972, we solve:

4 × [tex]3^{n-1}[/tex]= 972

Divide both sides by 4:

[tex]3^{n-1}[/tex]= 243

Recognize that 243 = [tex]3^{5}[/tex], so:

n-1 = 5

n = 6

Now, apply the sum formula:

Sum = 4 × ([tex]3^{6}[/tex] - 1) / (3 - 1)

Simplify the expression:

Sum = 4 × (729 - 1) / 2

Sum = 4 × 728 / 2

Sum = 4 × 364

Sum = 1456

Therefore, the sum of the series 4 + 12 + 36 + 108 + ... + 972 is 1456.

Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

Answer:

4.2

Step-by-step explanation:

divide 14.7 by 3.5

Answer:

h = [tex]\frac{2A}{b_{1}+b_{2} }[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex](b₁ + b₂)h

Multiply both sides by 2 to clear the fraction

2A = (b₁ + b₂)h

Divide both sides by (b₁ + b₂)

[tex]\frac{2A}{b_{1}+b_{2} }[/tex] = h

Answer:

  f(x) = StartRoot x EndRoot minus 2

Step-by-step explanation:

The curve shown below seems to match your description.

___

Any square root function with a quantity added to it will not have any presence in quadrant 4, as its graph will be entirely above the x-axis.

Answer:

It is the first one. I just took the test on edg.

Step-by-step explanation:

Answer:

∠ABC ≅ ∠DEC

∠DEC = ∠GEF

thus:

∠ABC = ∠GEF

∠GFE ≅ ∠DCE

∠DCE = ∠ACB

thus:

∠ACB = ∠GFE

If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.

thus: ΔABC ∼ ΔGEF by AA similar triangle postulate

I hope this helps

Prove [tex]\Delta ABC\cong \Delta GFE[/tex]

The sides opposite to equal angles are equal

∴[tex]DE=DC[/tex]

Subtract [tex]DC[/tex] and [tex]DE[/tex] from [tex]DB[/tex] and [tex]DF[/tex] respectively.

[tex]DB-DC=DF-DE[/tex]

We get, [tex]BC=EF[/tex]------Eq [tex]1[/tex]

[tex]\angle DEC\cong \angle DCE[/tex] (Given)

[tex]\angle DEC= \angle DCE[/tex] (Vertically opposite angle)

[tex]\angle DEC= \angle GEF[/tex] (Vertically opposite angle)

Hence, [tex]\angle ACB= \angle GEF[/tex]------Eq [tex]2[/tex]

In [tex]\Delta ABC[/tex] and [tex]\Delta GFE[/tex]

[tex]BC=EF[/tex] (From eq [tex]1[/tex])

[tex]\angle ACB= \angle GEF[/tex] ( From eq [tex]2[/tex])

[tex]\angle B\cong \angle F[/tex] (Given)

Therefore By AAS congruency [tex]\Delta ABC\cong \Delta GFE[/tex].

Hence Proved.

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Answer:

50% off would be $50

Step-by-step explanation:

20% + 30% = 50% original price was $100 but now with 50% off it is $50

Nike is having a sale $100 shoes is 30% off an additional discount 20% off. The amount to be paid for shoes now is $56.

Discount is the amount of off offered by the seller to the customer on a certain product. It is always offered as a percentage of the marked price of the product to lure the customer to buy the product.

Selling price is the price at which the product is finally sold. It is the marked price of the product minus the discount given.

Marked price = $100

initial discount = 30%

price of shoes becomes = $100 - 30% of $100 = [tex]100 - \frac{30}{100} *100 = 100- 30 = 70[/tex]

Additional discount offered =  20%

selling price of shoes = $70 - 20% of $70 = [tex]70 - \frac{20}{100} *70 = 56[/tex]

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Answer:

How to Make a Stem-and-Leaf Plot

Step 1: Determine the smallest and largest number in the data. The game stats: ...

Step 2: Identify the stems. For any number, the digit to the left of the right-most digit is a stem. ...

Step 3: Draw a vertical line and list the stem numbers to the left of the line.

Step 4: Fill in the leaves. ...

Step 5: Sort the leaf data.

Step-by-step explanation:

A stem-and-leaf plot is a graphical representation in statistics that displays all data points in a dataset. It can be formed by ordering the data, separating each data point into a 'stem' and a 'leaf' and recording these on either side of a line on paper.

Your question is about creating a stem and leaf plot, which is a form of graphical representation used in statistics to explore and summarize data. Here is how you make a stem and leaf plot:

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There are 271 people riding the bus in the morning and evening.

The addition, subtraction, division, and multiplication of built-in functions can also be used to specify arithmetic operations. The term "arithmetic operator" refers to the operator that executes the calculation.

In the morning, 197 people ride the bus. In the evening, 10 less than 84 persons use the bus.

According to the given question, the required solution would be as:

In the evening, 10 fewer than 84 people ride the bus, which means :

84 - 10 = 74 people ride the bus in the evening. (apply the subtraction operation)

So, In total, 197 + 74 = 271 people (apply the addition operation)

Therefore, 271 people ride the bus in the morning and evening.

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To find the total number of people riding the bus throughout the day, we calculate the evening ridership by subtracting 10 from 84, giving us 74 evening riders. We then add this number to the 197 morning riders to get a total of 271 riders for the day.

The question asks us to find the total number of people who ride the bus throughout the day by considering both morning and evening ridership numbers. In the morning, 197 people ride the bus. For the evening, it is mentioned that there are 10 less than 84 people riding the bus.

To find out the number of evening riders, we subtract 10 from 84:
84 - 10 = 74 people ride the bus in the evening.

Now, we add the number of morning riders to the number of evening riders to get the total:
197 + 74 = 271 people ride the bus in all.

Answer:

X = the number of songs downloaded by Nigel

Y = the number of songs downloaded by Rebecca

Rebecca downloaded four times as many songs as Nigel.

Y = 4X

Answer:

Step-by-step explanation:

Let Nigel songs be = x

Rebecca downloaded songs = 4x

When you divide the same value raised to different powers keep the value and subtract the powers.

A^15 / a^5 = a ^(15-5) = a^10

Answer:

a^10

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

13×5+2=67

Answer:

65

Step-by-step explanation:

13 x 5 = 65  

nothing will give u a remainder of 2 tho

65

The student's question lacks necessary details to compute the surface area of the composite figure. Generally, surface area is calculated by summing the areas of each face. For cubes, multiply the area of one face by six and adjust for unexposed areas in composites.

The question asks for the total surface area of a composite figure, but the question does not give enough details about the specific shape or composition of the figure. Typically, to find the surface area of any 3-dimensional shape, you'd sum the areas of all the individual faces. For example, for a cube, you'd calculate the area of one face (side length squared) and multiply by 6, because a cube has 6 faces.

In this scenario, if the composite figure was a combination of cubes, you would calculate the total surface area by finding the surface area of each cube separately (surface area of a cube = 6 x side length squared) and then adjust for any faces that are not exposed. The total surface area is the sum of the surface areas of each part of the composite figure minus any overlapping areas.

Without the complete details of the figure, I cannot provide a numerical answer, but I hope this explanation helps you understand the steps involved in computing surface area for composite figures.

Answer:

3

5

÷

j

=

3

8

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

(

3

5

)

⋅

8

=

j

⋅

3

Answer: x=2/3y+ −2/3

Step-by-step explanation:

Answer:

it can be shown that one ten base block is used to break down the number with one value blocks.

Step-by-step explanation:

Base ten blocks is used to divide a two digit divisor as follows.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

To use Base ten blocks to divide a two digit divisor.

Now,

Let an example as;

156 ÷ 13 = 12

Use Base ten blocks to divide as;

We start with a squares of 100 as 10 groups, then place 3 more groups below the hundred to make 13 groups.

We have 26 left to split evenly to each group.

We get, 12 in each group.

Thus, Base ten blocks is used to divide a two digit divisor as above example.

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Answ

this is slope intercept form

Step-by-step explanation:

Answer:

30, 150

Step-by-step explanation:

One angle is x

The other angle is 5x

5x + x = 180

6x=180

180/6=30

x=30

5(30)=150

Answer:

r=1

Step-by-step explanation:

The correlation coefficient r = 0.8694 suggests a strong positive relationship between the variables, supporting reliable predictions using the regression line.

The correlation coefficient r = 0.8694 indicates a strong positive relationship between the average temperature and electricity costs.

With a value of r = 0.8694 and comparing it to the critical values from the table, r is significant, suggesting a reliable prediction using the regression line.

Therefore, the most likely value closest to the correlation coefficient of the data is r = 0.9.

Answer:

Sorry I can't help in this question

Answer:

going into new york using the george washington bridge, consumers must pay a toll (there is not toll to return to New jersey). they can pay $6 cash or they can pay $5 (during peak hour) using the E Z pass system. The E Z pass system is a prepaid plan that also requires a one-time $12 account activation fee. How many trips to new york would a person need to make (during peak hours) so that the total amount spent with the E Z pass is equal to the amount spent for tolls without the E Z pass?

Step-by-step explanation:

Answer:

211

Step-by-step explanation:

The total miles that Rachel's family travelled can be found to be 211 miles.

First day: 68 miles

Second day: 10 fewer miles than the first day, so:

= 68 miles - 10 miles

= 58 miles

Third day: 85 miles

Add up the miles traveled each day:

Total miles = 68 miles (first day) + 58 miles (second day) + 85 miles (third day)

Total miles = 211 miles

In conclusion, Rachel's family traveled a total of 211 miles over the three days of their car trip.

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The total cost function for taking a passenger to the airport is C = 45 + 0.35M, where C is the total cost and M is the number of miles driven. The $45 is a fixed fee, and $0.35 is the charge per mile.

The student is interested in creating a function that models the total cost of taking a passenger to the airport. This function includes a fixed fee and a variable fee that depends on the number of miles driven. To model this, let C represent the total cost and M represent the miles driven.

The total cost C can be represented by the equation C = 45 + 0.35M. Here, the $45 is a fixed fee for using the vehicle, and $0.35 is the additional charge per mile driven.

C represents the total cost of the trip to the airport and M represents the number of miles driven to the airport.

Option C

3x + 7 > 4x is the inequality for sum of three times a number and seven is greater than four times the number

Solution:

Given that the statement is:

The sum of three times a number and seven is greater than four times the number

We have to find the inequality that represents the above statement

Let the number be "x"

Therefore,

sum of three times "x" and seven is greater than four times "x"

Here "times" represents product or multiplication

Thus we get,

three times "x" + 7 > 4 times "x"

[tex]3x + 7> 4x[/tex]

Thus the inequality is found. Option C is correct

Answer:

Step-by-step explanation:

y= 2x - 4........(1)

3y - x = -7.......(2)

Putting (1) into (2)

3(2x - 4) - x = -7

6x - 12 - x = -7

6x - x = -7 + 12

5x = 5

x = 5/5

x = 1

And y = 2x - 4 ...(1)

y = 2(1) - 4

y = 2 - 4

y = -2

Answer:

first and third one

Step-by-step explanation:

did the test on edge

Answer:

2v - 2u

Step-by-step explanation:

We are to subtract u from v.

⇒ We have to take away 'u' from 'v'.

⇒ v - u

Doubling some quantity means make it twice as much. so, we just multiply the result by 2.

We get: 2(v - u)

⇒ 2v - 2u which is the required result.

Answer:720

Step-by-step explanation: think about it, 6 packages, 10 per box hold 12 crayons, 10•12=120. 120•6 boxes equals 720. I may be wrong idk but try that. Im fully confident in that answer

Final answer:

To calculate the total number of crayons in a carton, multiply the number of crayons in a small box by the number of boxes in a package, and then by the number of packages in a carton. This results in 720 crayons per carton.

Explanation:

To find out how many crayons come in a carton, we need to do a series of multiplications. We start at the smallest unit, which is the crayon, and work our way up to the carton.

Therefore, there are 720 crayons in a carton.