Keshia goes to the post office to mail a package and a few letters. Stamps cost 49 cents each. It will cost $7.65 to mail the package. Keshila has 10.00. a. Write an inequality to represent this situation, where x is the number of stamps.

Answers

Answer 1

The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:

0.49x + 7.65 <= 10.00

Define Inequality.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:

0.49x + 7.65 <= 10.00

This inequality can be read as "the cost of x number of stamps plus the cost of the package is less than or equal to Keshia's budget of $10.00."

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Related Questions

Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.

Answers

The length of UV in the circle is given as follows:

13.2.

How to obtain the length of UV?

We are given two secant segments in the circle for this problem.

For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.

Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:

(22 + 17) x 17 = (20 + UV) x 20

Hence we must simply solve the expression to obtain the length of UV, as follows:

39 x 17 = 400 + 20UV

663 = 400 + 20 UV

20 UV = 263

UV = 263/20

UV = 13.2.

Missing Information

The circles are given by the image presented at the end of the answer.

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a line has a slope of 5. it passes through the points (-5, -1) and (x, 9). what is the value of x?

Answers

A line has a slope of 5. it passes through the points (-5, -1) and (x,9) than the value of x is -3

We are going to use the fact that when a line passes through two points : [tex](x1,y1) and (x2,y2)[/tex]

the slope is given by the following formula:

[tex]slope=y2-y1/x2-x1[/tex]

In the present case, the slope is 5 and the points are (-5, -1) and (x, 9)

Hence,

[tex]5=9-(-1)/x-(-5)[/tex]

[tex]5=10/x+5\\x+5=10/5\\x+5=2\\x=-3[/tex]

Thus, the value of x is -3 when it travels between the coordinates (-5, -1) and (x, 9).

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Finding area of composite figure

Answers

Answer:

73

Step-by-step explanation:

so basically this process is rather easy, okay what u have to do is find the area but since u cant u just have to try your best and go over the answer with a friend, oh you have none? Sorry for assuming, so just ask siri if you have 0 friends, the formula should look a little like this:

A=l*w or A=b*h

which than u would have to add up the circumference (sorry for not mentioning that earlier) so the new formula would be a little like this

A+C=

than thats your answer (it should be 12.)

Suppose $28,000 is deposited into an account paying 5.25% interest, which is compounded continuously. How much money will be in the account after 4 years if no withdrawals or additional deposits are made?

Answers

The formula for continuously compounded interest is:

A = P * e^(rt)

where:

A is the final amount

P is the initial amount (the principal)

r is the annual interest rate (in decimal form)

t is the number of years the interest is compounded

Substituting in the given values, we get:

A = $28,000 * e^(0.0525 * 4) = $28,000 * e^0.21 = $28,000 * 1.23 = $28000*1.23 = 34,540

Therefore, there will be $34,540 in the account after 4 years.

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Solve the following quadratic equation for all values of xx in simplest form.
4(x^2-5)-1=
4(x
2
−5)−1=
\,\,3
3

Answers

The quadratic equation 4(x² − 5) − 1 = 3 has its solutions to be are √6 and -√6

How to determine the solutions to the equation?

From the question, we have the following parameters that can be used in our computation:

4(x 2−5)−1=3

Express properly

This gives

4(x² − 5) − 1 = 3

Subtract -1 from both sides of the equation

So, we have the following representation

4(x² − 5) = 4

Divide both sides by 4

This gives

x² − 5 = 1

Subtract -5 from both sides of the equation

So, we have the following representation

x² = 6

Take the square root of both sides

x = ±√6

Hence, the solution is ±√6

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While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?

Answers

20 beacuse you need hiking boots to hike

Answer:

25

Step-by-step explanation:

let x = # of participants on the hike

(.80)x = 20

x = 20/0.80 = 25

3 2/3 Divided by 1 2/7

Answers

Answer:

[tex]2 \frac{23}{27} [/tex]

I wish you luck in your assignments.

88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent

Answers

The total number of students in the student body is 110.

How many students are in the student body?

Percentage is the ratio of an amount expressed as a number out of 100. The sign that is used to represent percentage is %.

In order to convert a number to percentage, multiply the number by 100. Percentage is a measure of frequency.

In order to determine the total number of students in the student body, divide the number of students that watch TV everyday by the given percentage.

Number of students in the student body = number of students that watch TV everyday / percentage

88 / 80%

= 88 / 0.8 = 110

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PLEASE HELP

All numbers less than 17 and greater than or equal to -8

Answers

Answer: C

Step-by-step explanation: it says that it's smaller or equal to x and x is smaller than 17

Answer: 17>n ≥-8

1. All number less than 17 can write as n< 17

2. All numbers greater than or equal to -8 can written as n ≥ -8.

3. Flip n<17 so n can be in the middle of the inequality.

4. Combined it would be 17>n ≥-8

Drag and drop the numbers into the table to complete the table of values for the equation y=4x+9

Answers

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

What exactly is circumcenter?

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

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Determine the amount of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15years.

Answers

The amount (present value) of a semi-annual coupon paid for a 3% bond with a face value of 80,000 which matures after 15 years is $80,000.

What is the price of a bond?

The price of a bond is its present value.

The present value can be determined as the discounted cash inflows.

In this situation, we can determine the present value of the bond using an online finance calculator as follows:

N (# of periods) = 30 (15 years x 2)

I/Y (Interest per year) = 3%

PMT (Periodic Payment) = $1,200

FV (Future Value) = $80,000

Results:

Present Value (PV) = $80,000.00

Sum of all periodic payments = $36,000.00

Total Interest = $36,000.00

Thus, the amount of the bond is $80,000.

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Factorize the expression, 10ab (a − 2b)³ +24ab² (3a − 6b)²

Answers

2ab(5a^3+392b^3+78a^2b-372ab^2)



Explanation : Group and factor out the greatest common factor (GCF), then combine.

Answer:

226a³b² - 824ab³ + 984b⁴

Step-by-step explanation:

We can factorize the given expression by expanding the two binomials and then combining like terms.

First, expand the two binomials:

10ab (a − 2b)³ +24ab² (3a − 6b)² = 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)

Then, combine like terms:

= 10ab(a³ - 6a²b + 12ab² - 8b³) + 24ab²(9a² - 36ab + 36b²)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= (10a³b + 216a³b² - 60a²b² - 864ab³ + 120ab³ + 864b⁴ - 80b⁴)

= (10a³b - 60a²b² + 120ab³ - 80b⁴) + (216a³b² - 864ab³ + 864b⁴)

= 226a³b² - 824ab³ + 984b⁴

A mechanic charges $45 per hour for labor plus $55 for a computer diagnostic test. The mechanic charges a customer $595 to repair a vehicle. How many hours did the mechanic spend on the repair?

Answers

Answer:

The mechanic spent 12 hours on the repair.

Step-by-step explanation:

$595-$55=£540. £540 is the total of the amount the mechanic charges for an hour, MINUS the computer diagnostic testTo find out how many hours the mechanic spent on the repair, we have to do $540 divided by $45, which is 12.

The mechanic spent 12 hours on the repair.

a company has issued 8% debentures of rs 10 each at a discount of 10% repayable after 10 years, find out the cost of capital

Answers

If a company has issued 8% debentures of INR 10 each at a 10% discount repayable after 10 years. then the cost of capital or pretax cost of debt is 8%.

What is pretax cost of Debt?

A bond or other sort of financial instrument that is secured by collateral is referred to as a debenture. Debentures must rely on the issuer's trustworthiness and reputation for support because they lack a collateral backstop. Debentures are commonly issued by both businesses and governments to raise cash or money. The interest paid on these security can be termed as cost of Debt or pretax cost of Debt.

The pretax cost of debt is interest paid on debenture security without giving effect of corporate tax on the rate of interest to be yearly or as per terms and conditions attached to it.

When debt security issued on discount then the loss on issue of these debenture instrument shall also be form part of cost of security or cost of capital.

Thus the year one pretax cost of  Debt capital will be Rs. 1 per debenture and 8% cost of debt.  

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-50 POINTS- Already asked 3 times someone help pls. Don’t guess either.

Answers

Answer:

To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).

Mario had 8 1/5
yards of ribbon for a project. Sue gave him 2 3/4 more yards of ribbon. Which is closest to the number of yards of ribbon Mario had altogether?

Answers

The closest to the number of yards of ribbon Mario had altogether will be ;

⇒ 11 yards

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Mario had 8 1/5 yards of ribbon for a project.

And, Sue gave him 2 3/4 more yards of ribbon.

Now,

Since, Mario had 8 1/5 yards of ribbon for a project.

And, Sue gave him 2 3/4 more yards of ribbon.

Hence, Total ribbon for the project Mario have = 8 1/5 yards + 2 3/4 yards

                                                                        = 41/5 + 11/4

                                                                        = (164 + 55) / 20

                                                                         = 219 / 20 yards

                                                                         = 10.95 yards

                                                                         ≈ 11 yards

Thus, Total ribbon for the project Mario have = 11 yards

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Melinda, Zachary, and heather went to the mall to shop for school supplies

Answers

Heather spend $33.1 on school supplies.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Melinda, Zachary, and heather went to the mall to shop for school supplies

Melinda spent $14.25 on her supplies.

Melinda=$14.25

Zachary spent $2.30 more than Melinda spent

Zachary=$14.25+$2.3

=$16.55

Heather spent 2 times as much money as Zachary spent

Heather=2×$16.55

=$33.1

Hence, Heather spend $33.1 on school supplies.

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Find the value of x .

Answers

Answer:

x = 45°

Step-by-step explanation:

x° + 45° + 90° = 180°

x° + 135° = 180°

x° = 180° – 135°

x° = 45°

i hope this helped

Use the decimals 2.49, 9.19, and 6.7 to write two different addition facts and two different subtraction facts.

Answers

The solution to the equations is

Addition : 2.49 + 6.7 = 9.19  ;  6.7 + 2.49 = 9.19

Subtraction : 9.19 - 6.7 = 2.49  ;  9.19 - 2.49 = 6.7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the three decimals be represented as set x = { 2.49 , 6.7 , 9.19 }

Now , the addition facts are given by equations ,

2.49 + 6.7 = 9.19  be equation (1)

6.7 + 2.49 = 9.19   be equation (2)

And , the subtraction facts are given by the equations ,

9.19 - 6.7 = 2.49  be equation (3)

9.19 - 2.49 = 6.7  be equation (4)

Hence , the equations are solved

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10,14,18,22,26 find the 12 term of the sequence​

Answers

Answer:

30,34,38,42,46,50,54,58,62,66,70

4 glasses cost £24 in total how much do seven glasses cost

Answers

Using simple unitary method process in the given problem with the provided values, The answer is £42 .

What is unitary method?

The unitary method is a method of solving mathematical problems in which the relationship between a quantity and its unit of measurement is used to find an unknown quantity. It involves expressing the given quantity in terms of a unit, then solving for the unknown quantity in terms of the same unit.

What are arithmetic operators?

Arithmetic operators are used to perform basic mathematical operations, such as addition (+), subtraction (-), multiplication (*), division (/), and modulus (%). They take numerical values (either literals or variables) as their operands and return a single numerical value. These are widely used in mathematical computations, like in programming languages, spreadsheets and calculator apps.

4 glasses cost £24.

1 glass cost £24/4 = £6

7 glasses cost = £6 * 7 = £42

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Determine which two numbers come next in the sequence 5,5,10,15,25, __, __

Answers

The two numbers that come next in the sequence 5,5,10,15,25, are 40 and 65.

How can the  two numbers that come next in the sequence be calculated?

To calculate this , You can figure it out by taking the first number, which is 5. However, since the previous number is 0, the sum is 5, and you proceed in the same manner.

5 + 5 = 10

(5 + 10) = 15

(10 + 15) = 25

(15 + 25) = 40

(25 + 40) = 65

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What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit

Answers

Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.

What are similar triangles?

Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.

From the concept of the similar triangle,

3/BD = BD/12

BD² = 12 × 3

BD² = 36

As triangle BDC is a right-angled triangle, use Pythagoras' theorem

m² = BD² + 3²

m² = 36 + 9

m² = 45

m = √45

m = 6.708

m ≈ 6.71

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A physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight. A nutritionist recommends that no more than 30% of those calories should come from simple sugars What is the maximum number of calories per day that should come from simple sugars?

Answers

Answer:

844.5 calories.

Step-by-step explanation:

If a physically active adult weighing 170 pounds needs to consume about 2815 calories per day in order to maintain his or her weight, and a nutritionist recommends that no more than 30% of those calories should come from simple sugars, the maximum number of calories per day that should come from simple sugars is:

2815 calories * 30% = <<281530.01=844.5>>844.5 calories

So, the maximum number of calories per day that should come from simple sugars is 844.5 calories.

Answer

844.5

Step-by-step explanation:

80+100=180

180÷100=1.80

1.80×2815=844.5

It cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes. The mall sells them for $128.98. What is the percent mark-up?

Answers

If it cost the shoe factory $26.47 to make a pair of Purple Pedi running shoes and the mall sells them for $128.98 then 3.87 is the percent mark-up.

How much of a markup is that?

The gross profit of a unit is determined by subtracting its cost to produce or acquire for resale from its sales price to determine the markup percentage. The markup percentage is computed as (12 - 8) / 8 and equals 50% if an item is priced at $12 but costs the manufacturer $8 to produce.

Some individuals will inform you that a 5% markup equates to a markup of 5% of the price your customer pays. In your illustration, this is stating that you add a specific amount to your cost, $62, to arrive at a price of $P for your customer, and the amount you added is 5% of $P. This means that your cost of $62 is 95% of the price of P.

($128.98 - $26.47)/ $26.47

= 3.87.

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Which symbol makes the number sentence true?

-2.5O 10/4
A. <
B. >
C. =

Answers

Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry

Step-by-step explanation:

Which radicals are already in the simplest form?

Answers

B E F
A can be broken down into 4 * 7
C can be broken down into 49 * 3
D can be broken down into 9 * 7

5+1r-2=9

Please explain step by step

Answers

Answer: 6

Step-by-step explanation:

A biology class examined some flowers in a local meadow. They saw 36 flowers, of which 25% were perennials. How many perennial flowers did the students see?

Answers

Answer: nine

Step-by-step explanation: 36 - 25 = 9 or 25% x 1 + 36 = 9

Answer:

9

Step-by-step explanation:

1 first split  36 by 4 because  25% is 1/4

2 once when divided you should get 9 because 9x4 is 36  

50 POINTSSS!!!!!! PLS HURRRYYYYY!!!!!!! A set of data includes 98 data points ranging from 0 – 160. If the data is split into classes with a range of 10 (1 – 10, 11 – 20, etc), and there are no values that fall in the class 81 – 90, what can you say about the data?

1 The mean of the data will not be between 81 – 90.
2 All the data lies below 80.
3 The relative frequency of the class 81 – 90 is 0.
4 The median could be in the range 81 – 90

Answers

Answer:

3

Step-by-step explanation:

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