To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.

Answers

Answer 1

Missing details

Which type of function model would be appropriate for this situation?

Answer:

Linear function

Step-by-step explanation:

Given

[tex]y = 0.50x +9.75[/tex]

Required

The function model

A function of the form:

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

is referred to as a linear function where

[tex]m = slope/rate[/tex]

[tex]b=y\ intercept[/tex]

By comparison:

[tex]m = 0.50\ b = 9.75[/tex]

So, it is a linear function (linear model)


Related Questions

Pls answer quick if you don’t mind.

Answers

Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?

Answers

Answer: Not rounded: 39.6 Rounded: 40

Step-by-step explanation:

The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle

Answers

Answer:

10w

Step-by-step explanation:

→ Work out the length

4 × w = 4w

→ State width

w

→ Find perimeter

4w + 4w + w + w = 10w

Help, please
A: 2
B: -2
C: 1/2
D:-1/2

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \int\limits^a_b {x} \, dx \geq \sqrt{x} \left \{ {{y=2} \atop {x=2}} \right. \frac{x}{y} \alpha \alpha \alpha =\beta[/tex]

Step-by-step explanation:

PLEASE PLEASE HELP ME
Use a graph to make a conjecture about the coordinates of the intersection point of the lines y = - 7/9x + 3 and y = 1/3x - 2

Answers

Answer:

(4.5, -0.5)

Step-by-step explanation:

dude just use desmos its so much easier :)

Answer:

Not Perpendicular

Step-by-step explanation:

help me plzz.im dying.

Answers

Answer:

B

Step-by-step explanation:

is this answer

The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral means all sides are equal.

Answers

Answer:

Step-by-step explanation:

3*(4x - 3) = 63                         Divide both sides by 3

4x - 3 = 63/3

4x - 3 = 21                                Add 3 to both sides

4x = 21 + 3

4x = 24                                    Divide by 4 on both sides

4x/4 = 24/4

x = 6

Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)

Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number.

Answers

b, it is four less than a number

Step-by-step explanation:

B. Four less than a number.

I’m confused on what to do next please help

Answers

Answer:

There are 585 adults and children

Step-by-step explanation:

Let the number of adults be a, number of children be c and the number of seniors be a

Amount made per group;

adults; 52 * a = 52a

Children : 26 * c = 26c

Seniors = 20 * s = 20s

Adding all will give 20,490

52a + 20s + 26c = 20 490 ••••(i)

Now let us work with the ratios;

a : s = 6 : 1

a/s = 6/1

a = 6s •••••(ii)

Lastly;

a/c = 4/9

4c = 9a ••••(ii)

We want to get a + c

From the first equation , let’s substitute

52(6s) + 20s + 26c = 20,490

26c = 6.5 (4c)

but 4c = 9a; 6.5(9a)

But a = 6s

So we have; 6.5(9)(6s) = 351s

so we have;

312s + 351s + 20s = 20,490

683s = 20,490

s = 20490/683

s = 30

Recall;

a = 6s = 6 * 30 = 180

4c = 9a

4c = 9 * 180

c = (9 * 180)/4 = 405

So the total number of children and adult is a + c

405 + 180 = 585

Find the center and radius of x2+2x+y2+10y=15

Answers

Answer: (x + 7)^2 + (y + 5)^ =9

Step-by-step explanation:

Boris went for a drive in his new car. He drove at a speed of 62 miles per hour for 396.8 miles. For how many hours did he drive?

Answers

he would have drove for 6 hours and 40 minutes.

Answer:

he is drive 6.4 hours ......

June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?

Answers

x:2=24.3
x=24.3 • 2
x=48.6
Answer is 48.6

Determine the measure of ∠DFB.
Question 6 options:

1) 67°
2) 69°
3) 68°
4) 136°

Answers

Answer:

136

Step-by-step explanation:

Just took the test and got it right good luck with the rest

NEED HELP W MY OTHER QUESTIONS! plsss

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

80°. It’s going to be equal to the other side

Can someone please help me with math.

Answers

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

Anyone do you know
An after-school program offers tutoring for different subjects. During the last month, a teacher recorded the number of students who participated in tutoring for each subject, as shown in the table below:

Image description not available
Use this data to predict how many students of the next 100 students will participate in math tutoring.

Answers

Answer:

The image doesn't show

Step-by-step explanation:

A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?

Answers

Answer:

1 1/2 tons per hour

Step-by-step explanation:

8 1/4 ÷ 5 1/2

Of the tangent is 15/20 what’s the sine of the angle

Answers

Answer:

25

Step-by-step explanation:

What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6

Answers

Answer:

it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49

Step-by-step explanation:

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What are the total number of students in the class?

Answers

Answer:

33 students

Step-by-step explanation:

ratio = 6 : 5

if there are 3 more girl that boy

ratio 1 equal 3.

total ratio

6 + 5 = 11

total number of students

11 × 3 = 33

If y = -2x + 3, find y when x = -3

Answers

Y= -2(-3) + 3

-2 multiplied by -3 is 6 and 6+3 is 9, meaning y= 9 when x= -3

probability help , not understanding

Answers

Answer:

70%

Step-by-step explanation:

HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies

Answers

25% of the cookies :)

Answer:

25%

Step-by-step explanation:

3/12=d/100

12×d=12d=3×100=300

12d÷12=d

300÷12=25

d=25

hope this helps

Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=

Answers

Answer:

Part A

y = 8

Part B

We can find BF by either;

a) Through Pythagoras theorem to find the length of a side in a right triangle

b) The known rate of change of the length of the line FC with height

Step-by-step explanation:

Part A

The given parameters are;

FC = 5

We are to find BF

By the triangle proportionality theorem, we have;

FC:BF = EC:AE

From the given draining we have;

C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)

Points A,  E and C are have the same y-coordinate values, therefore, we have;

EC = 10 - 4 = 6

AE = 4 - 1 = 3

Therefore, we have;

5/BF = 6/3 = 2

BF = 5/2 = 2.5

Using the formula for finding the distance between two points, we have;

BF = √((5.5 - 7)² + (y - 6)²)

BF² = 2.5² = (5.5 - 7)² + (y - 6)²

6.25 = 2.25 + (y - 6)²

6.25 - 2.25 = 4 = (y - 6)²

√4 = √(y - 6)² = (y - 6)

±2 = y - 6

y = 6 + 2 = 8, or y = 6 - 2 = 4

Given that from the diagram, y > 6, we have y = 8

Part B

a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;

BF = √((5.5 - 7)² + (8 - 6)²) = 2.5

b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line

We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;

From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5

Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5

w3=24
Question 4 options:

w = 8


w = 72


w = 12


w = 6

Answers

The answer is w=8.....

Answer:

w=8

Step-by-step explanation:

i took the k12 test

One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.

Answers

Answer:

Step-by-step explanation:

Let the shake be x and the burrito y

x + 2y = 3040 ---- (1)

2x + y = 2840 ---- (2)

Make x the subject of formula in equation (1)

x + 2y - 2y = 3040 - 2y

x = 3040 - 2y

Substitute x = 3040 - 2y for x in equation (2)

2(3040 - 2y) + y = 2840

6080 - 4y + y = 2840

6080 - 3y = 2840

Subtract 2840 from both sides of the equation and add 3y to both sides of the equation

6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y

6080 - 2840 = 3y

3y = 3240

Divide both sides by the coefficient of x(which is 3)

[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]

y = 1080

Substitute y = 1080 for y in equation (2)

2x + 1080 = 2840

2x = 2840 - 1080

2x = 1760

[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]

x = 880

∴ The caloric content of one shake is 880 and for one burrito is 1080

Hope this helps

Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144

Answers

Answer:

12285

Step-by-step explanation:

Use the image to answer the question below.
Å
-2
W
Which equation best represents circle A?

Answers

You forgot to include image and answers

Answer: C

Step-by-step explanation: (x+2) 2+(y-1) 2=3

What does this mean?

Answers

Answer:

Plug in -3 as x

Step-by-step explanation:

f= -4(-3)+1

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