Mathematics College

anyone free to help with this?

Mildred Lost bought two (2) radial tires at $49.95 each and two (2) seat cushions at $16.99 each. The sales tax where she lives is 6 percent. What was the total amount of the purchase?

Answers

Answer 1
(2*49.95 +2*16.99)*1.06 = 141.91

The total amount of Mildred's purchase was $141.91.

_____
amount + 6%×amount = amount*(1 +.06)

Related Questions

Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9

Answers

The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.

I hope this helps!

The equations described in this problem are:

t + u = 9

10t + u = 10u + t - 9

When the two equations are substituted and solved, t = 4 and u = 5.

The original number described in the word problem is 45.

3) Ashley uses the two points on the coordinate plane to represent the location of her house and the public library. Each unit on the graph represents 1 mi. How far is the public library from Ashley’s? Show your work.

Answers

By counting grid squares, we see the library is 5 miles north and 6 miles east of Ashley's house. Using the Pythagorean theorem, we can find the straight-line distance to be
.. d = √(5^2 +6^2)
.. = √(25 +36)
.. = √61 . . . . . miles
.. ≈ 7.81 . . . . miles

Anna is buying trim to go around her rug. Her rug measures 54 inches by 42 inches. How many inches of trim will Anna need to buy

Answers

Anna will need to buy 192 inches of trim.

54+54=108
42+42=84
108+84=192
P = 2*L + 2*W
L= 54 inches
W = 42 inches

P = 2*54 + 2*42
P = 108 + 84
P = 192 inches. she needs to buy

Mary had some cookies.she gave 2/9 of them to matthew and ate 1/3 of them. she had 8 cookies left. how many did she have at first?

Answers

2/9 + 3/9 = 5/9. If 4/9 is eight cookies than 5/9 is 10. So, she had a total of 18 cookies to begin with
Final answer:

Mary originally had 18 cookies. This is determined by creating and solving a ratio based on the fractions of cookies Mary had left after giving some away and eating some.

Explanation:

The subject of this question is mathematics and it involves fractions. We can think of Mary's original number of cookies as 1 whole or 100%. We're told she gave away 2/9 of them and ate 1/3 of them, which means she hasn't touched 1 - 2/9 - 1/3 of the cookies.

First, we calculate the common denominator, which is 9. So, we must convert 1/3 to 3/9. Now, we have 1 whole - 2/9 - 3/9. This addition simplifies to: 9/9 - 2/9 - 3/9 = 4/9.

The 4/9 is equal to the 8 cookies she has left over. To find the original amount of cookies, we set up the following ratio: 4/9 = 8/x. Solve this ratio for x (which represents Mary's original number of cookies) by cross multiplying: 4x = 72. Divide both sides by 4 to get: x = 18 cookies.

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  Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $156.00. What is her rate per hour?

Answers

The answer is  $9.75 hope i helped!!
x= rate per hour

Multiply each day's hours by the rate of pay. Add the days times the rate of pay which equals the total pay.

9x + 7x= $156
combine like terms
16x= 156
divide both sides by 16
x= $9.75

ANSWER: Her rate per hour is $9.75.

Hope this helps! :)

What is the length of BB' ?

Answers

B(0,2) B'(5,4)
D(BB') = √(5-0)^2 + (4-2)^2
= √(25 + 4)
= √29
= 5.39

answer
 length of BB' = √29 or 5.39
2/5 I think so !!! Demosos . Com helps a lot.

What is the length of the segment with endpoints (-3,4) and (5,4)?

Answers

The answer is 8 units
Use phytagorean theorem to solve the problem.
l² = Δx² + Δy²

Δ means change. Δx means the change of x, and Δy means the change of y.
l² = (x₂ - x₁)² + (y₂ - y₁)²
l² = (5 - (-3))² + (4 - 4)²
l² = (5 + 3)² + 0
l² = 8²
l = 8

The length of the segment is 8

The sum of 2 numbers is 80. The ratio of the numbers is 3 to 5. Find the large number

Answers

larger : smaller = 5 : 3
larger : total = 5 : (3 +5) = 5 : 8

The total of 8 "ratio units" represents the sum 80, so each ratio unit represents 10. The larger number is 5 ratio units, so is 50.

In a circle with radius 4 cm the diameters AC and BD are perpendicular to each other. Prove that ABCD is a square. Find the area of ABCD.

Answers

This can be proven by using the Pythagorean theorem.    Draw a circle and label the radius 4 cm.  Then draw the diameters in to create a perpendicular intersection at the center.  If you then label the points that make the diameter, you will see that when connected they create right isosceles triangles.  a^2 + b^2 = c ^2, so 4 x 4 + 4 x 4 = c^2.  32 = c^2.  Because you are going to be multiplying it by itself to calculate the area, you have you answer of 32 square centimeters.  NO need to find the square root and them square it again!

I = $1,200 * 8/100 * 240/360 =

Answers

The correct answer is:

$64.

Explanation:

We will mulitiply the first two numbers first.

We will first write 1200 as a fraction by putting it over 1:
1200/1 * 8/100.
We now multiply straight across: (1200*8)/(1*100) = 9600/100 = 96.

Now we will multiply this by the last fraction. Again we will make the whole number, 96, a fraction by placing it over 1:
(96/1)*(240/360).

Again we multiply straight across: (96*240)/(1*360)=23040/360.

When we divide this out, we get 64.

Answer:

$ 64

Step-by-step explanation:

I=$ 1200×8/100×240/360

Which could also be written as:

I=

[tex]1200\times \dfrac{8}{100}\times \dfrac{240}{360}\\ \\= 12\times 8\times \dfrac{24}{36}\\ \\=12\times 8\times \dfrac{2}{3}\\ \\=4\times 8\times 2[/tex]

=$ 64

The price has changed from $120 to $75. by how many percent did it change?

Answers

Final answer:

The price has changed by 37.5% from $120 to $75.

Explanation:

To find the percentage change, we can use the formula:

Percentage change = ((new value - old value) / old value) * 100

In this case, the old value is $120 and the new value is $75. Plugging these values into the formula, we get:

Percentage change = (($75 - $120) / $120) * 100 = (-$45 / $120) * 100 = -0.375 * 100 = -37.5%

Therefore, the price has changed by 37.5%.

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Final answer:

The percentage change in price from $120 to $75 is calculated by subtracting the initial price from the final price, dividing the result by the initial price, and then multiplying by 100. The price has decreased by 37.5%.

Explanation:

The question involves calculating the percentage change in price. To do this, you start by subtracting the final price ($75) from the initial price ($120) to determine the difference. In this case, the difference is $120 - $75 = $45. This represents the total change in price.

To find out the percentage change represented by this difference, you divide the difference ($45) by the original price ($120) and then multiply the result by 100 to convert it to a percentage. This can be represented by the formula:
((Final Price - Initial Price) / Initial Price) x 100.

So, the percentage change would be calculated as follows: ((120 - 75) / 120) * 100 = 37.5%. Therefore, the price has decreased by 37.5%.

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the width of rectangle is 12cm less than the length . the perimeter is 156cm find the width and the length

Answers

P= perimeter= 156
L= length
W= width= L-12

P= 2(L + W)
plug in the information you know
156= 2(L + (L-12))
156= 2(2L-12)
multiply 2 by everything in parentheses
156= 4L-24
add 24 to both sides
180= 4L
divide both sides by 4
45 = L


W= L-12
W= 45-12
W= 33


Check:
P= 2(L + W)
156= 2(45+33)
156= 2(78)
156= 156

Hope this helps! :)

Find the interest on the loan if you borrowed $2,000 at 8% for 1 year.

Answers

Future Value = Present Value*(1 + interest rate)^(# of years)

Future Value = $2,000(1+0.08)^1

Future Value = $2,000(1.08) = $2,160

To find the interest on the loan, we need to do our Future Value - Present Value.

Future Value - Present Value = $2,160 - $2,000 = $160

a medication is supplied in a mixture that contains 7.5 mg of medication per millimeter of solution. the dosage rate is 10.0 mg of active ingredient per kilogram of body weight. calculate the number of millimeters of medication that should be given to a patient weighing 187 lb.

Answers

Concentration = 7.5 mg/mL
Dosage = 10 mg/kg
For a patient of 187 lb = 187.*0.4536 lb*kg/lb = 84.82 kg
Dose = 10 mg/kg * 84.82 kg /7.5 mg/mL
= 113.1 mL

In the regular nonagon shown, what is the measure of angle x?

Answers

The answer is 45 hope this helps

I cant see any nonagons sorry.

an athlete is training to run a marathon. she plans to run 2 miles the first week. she increases the distance by 8% each week. which function models how far she will run in the nth week?

Answers

Pls tell me I'm having a quiz with my teacher


P.S.= She is really evil
She will run 2 miles first week.

Second week she will run 2 miles + extra 8%:
first_week + 8%*first_week

Third week she will run same distance as in second + extra 8% above what she ran in second week:
second_week + 8%*second_week

Fourth week she will run same distance as in third + extra 8% above what she ran in third week:
third_week + 8%*third week

By taking out common factors we get:
Week 1: 1*2 miles
Week 2: (1+0.08) * week1
Week 3: (1+0.08) * week2
Week 4: (1+0.08) * week3

We can see that each succesive week we multiply by 1.08.
Week 1: 1*2 miles
Week 2: (1+0.08) * week1
Week 3: (1+0.08) * (1+0.08)*  week1
Week 4: (1+0.08) * (1+0.08)* (1+0.08)* week1

If we use n for a number of week we can see that factor (1+0.08) appears n-1 times. We multiply this factor so we need to put n-1 in an exponent. 
Our function is given by:
[tex]d=2*1.08^{n-1} miles[/tex]
where n is number of a week

The sum of a number divided by 8 and 7 is equal to 9 .

Answers

[tex]n-the\ number\\\\\dfrac{n}{8}+7=9\qquad\text{subtract 7 from both sides}\\\\\dfrac{n}{8}=2\qquad\text{multiply both sides by 8}\\\\\boxed{n=16}[/tex]

SOMEONE HELP ME PLEASE?????????????????????????????????????????????????

Which sentence contains a punctuation error?

One-quarter cup of chocolate chips does not seem like enough.

She is a well known basketball player.

This well-known recipe is the one I always use for oatmeal cookies.

He bakes loaves of the best-tasting bread we have ever eaten.

Thanks for helping.

Answers

He bakes loaves of the best-tasting bread we have ever eaten 

has a error 


The 4th sentence has a mistake

(100+ POINTS)
A fresh cup of coffee is placed on a table to cool. The table below shows the relationship between the temperature of the coffee, y, as it relates to time in minutes, x.



Time (minutes), x 0 1 2 3
Temperature (F°), y 200 150 112.5 84.375



Which function can be used to represent the relationship shown in the table?
y = (0.75) x
y = 0.75(200) x
y = 200(-0.75) x
y = 200(0.75) x

Answers

For this case we have a function of the form:
 [tex]y = A * (b) ^ x [/tex]
 Where,
 A: initial temperature
 b: rate of change
 x: time in minutes
 y: temperature
 We must find the values of the constants A and b.
 To do this, substituting values we have:
 [tex]200 = A * (b) ^ 0 150 = A * (b) ^ 1[/tex]
 We have a system of two equations with two unknowns.
 Dividing both equations we have:
 [tex] \frac{A * (b) ^ 1}{A * (b) ^ 0} = \frac{150}{200} [/tex]
 [tex]b = 0.75 [/tex]
 From equation 1 we have that the value of A is:
 [tex]A = 200 [/tex]
 Substituting values in the generic equation we have:
 [tex]y = 200 * (0.75) ^ x [/tex]
 Answer:
 A function that can be used to represent the relationship shown in the table is:
 [tex]y = 200 * (0.75) ^ x[/tex]


y = 200 * (0.75) ^ x

Melinda rents paddle boats down at the pier. She uses 5.5 feet of nylon rope to tie off each boat. She started with 80 feet of rope. After securing all the boats, she was left with more than 3 feet of rope. How many boats did Melinda tie off?

Answers

First write an expression for the problem:
b= boats
80-5.5b > 3
-5.5b > -77
(divide both sides of the in equality by -5.5)
NOTE: when you divide in equalities by negatives you MUST FLIP THE SIGN!

b < 14

boats= less than 14 boats in order to have greater than 3ft of rope left.

Answer: 
Melinda must have tied off less than 14 boats.

Let me know if you still have any questions!

Answer: Less than 14

Step-by-step explanation: My teacher helped me on this problem and i got less then 14 and i submitted it and it was right i really this helped

What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?

Please tell me the answer if you absoulutley know it

Answers

It will be between the sum and difference of the two given sides.

12 < third side < 42

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?
2π ft
​ 3π ​ ft
​ 6π ​ ft
​ 9π ​ ft

Answers

the correct question is 
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc? 

we know that
in a circle
2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

 the lenght  of the arc=(2π/3)*3=2π ft

the answer is 2π ft




Answer:

The correct answer is 2π ft.

Step-by-step explanation:

Verified by correct test results.

Which ordered pair makes both inequalities true?

y < –x + 1

y > x

Answers

For this case, what you must do is to graph both lines in the same Cartesian plane.
 Once graphed, you must see by mathematical inspection the points that meet both inequalities.
 For this case, all points in the shaded region comply with the inequation system.
 Answer:
 All the ordered pairs of the shaded region.

Answer:

B on Edge 2020

Step-by-step explanation:

(-2,2)

What is the simplified form of the expression? x8 - 2y10 - 5x5

Answers

we have
x8* 2y10 * 5x5
product of two powers that have the same base is equal to a power of said base that has as exponent the sum of the exponents

x8* 2y10 * 5x5----------> (1)*(2)*(5)*[x^(8+5)]*y^10=10*[x^13]*y^10

the answer is 10*[x^13]*y^10

What is the sum of the series? ​ ∑ i=1 5 4i ​ Enter your answer in the box.

Answers

Answer:

the answer IS 60

Step-by-step explanation:

The sum of the given series  [tex]\sum 4i[/tex]  is 60.

What do you mean by the sum of the series?

A series can have a sum of each term of the series tends to zero but there are some series in which has each term tends to be zero and do not have a sum.

   5

  [tex]\sum 4i[/tex]  = 4 × 1 + 4 × 2 + 4 × 3 + 4× 4 + 4 × 5

  i=1        = 4 + 8 + 12 + 16 + 20

              = 60

Hence, the sum of the series  [tex]\sum 4i[/tex]  is 60.

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A square pyramid has a base area of 64ft2. The pyramids total surface area is 224ft2. What is the area of each triangular face?

Answers

check the picture below.

now the base has an area of 64 ft², as shown on the picture a 8x8 base, the total surface area, meaning the triangular faces area plus the base, we know is 224 ft².

well, what's the area of the triangular faces anyway?  well, if we just subtract hte base from the total surface area, what we're left with, is the lateral area, namely the area of the triangular faces only, 224 - 64.

now, there are four equal triangular faces, divide that by 4, and that's the area of one of them, (224 - 64) / 4.

PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11

Answers

You have that:

 1. By definition, a binomial is a polynomial formed by two terms. 
 2. A quintic binomial is a binomial of degree 5. This means that its highest exponent is 5.
 3. Keeping this on mind, you must identify which binomial has degree 5.
 4. As you can see, the expression 3x^5+2 is a binomial, because it has two terms and the highest degree is 5.
 5. Thefore, the answer is: 3x^5+2

The length of the longer leg of a right triangle is 19ft more than five times the length of the shorter leg. the length of the hypotenuse is 20ft more than five times the length of the shorter leg. find the side lengths of the triangle.

Answers

Let x represent the length of the shorter leg.

Longer leg: 5x +19
Hypotenuse: 5x +20

Pythagorean theorem:
.. x^2 +(5x +19)^2 = (5x +20)^2
.. x^2 +25x^2 +190x +19^2 = 25x^2 +200x +20^2 . . . . . . eliminate parentheses
.. x^2 -10x -39 = 0
.. (x -13)(x +3) = 0
.. x = 13 . . . . . . . . . . leg lengths must be positive

The side length of the triangle are 13, 84, 85 feet.
Final answer:

This problem can be solved by creating and solving a quadratic equation based on the Pythagorean theorem. We denote the length of the shorter leg as 'x', and substitute '5x+19' and '5x+20' as lengths of the longer leg and hypotenuse in the theorem.

Explanation:

The entire problem revolves around the application of the Pythagorean theorem, which in a right-angled triangle gives the relationship a² + b² = c², were a and b are the lengths of the shorter sides (legs) and c is the length of the longest side (hypotenuse).

Let's denote the length of the shorter leg as 'x'. From the problem, we know that the longer leg is 5x+19 and the hypotenuse is 5x+20. Using the Pythagorean theorem, we have:

((5x+19)² + x²) = (5x+20)².

You can solve this equation to find out the value of 'x', following which you can substitute this value back into 5x+19 and 5x+20 to find lengths of the longer leg and hypotenuse.

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Kiera wanted to find the approximate number of historical books at the library she works at. She used the computer to randomly take a sample of 80 books and found that 6 of them were considered historical books. There are 21,360 books at this library. What is the best estimate of the amount of historical books at this library?

Answers

A sample of 80 books was taken randomly using a computer and 6 of them were considered to be historical books.

It means probability of sample would be 6 out of 80 i.e. P = 6 over 80 = 0.075 or 7.5%.

It says there are 21,360 books in the library, so Population would be 21,360 books. We can use outputs of the sample survey to represent complete collection of books in the library.

So best estimate of total historical books in the library would be 7.5% of total population.

Best estimate = 7.5% of 21,360

Best estimate = 0.075 x 21,360

Best estimate = 1602 books.

Hence, there are approximately 1602 historical books in the entire library.

The unit used to measure an angle is called

Answers

There are several.
Some of them are: degree, radian, grad
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