Linda has $9.00 in her wallet. she buys a card for $1.17. she wants to buy some pens that cost $2.65. what is the maximum number of pens can she buy

Answers

Answer 1

Answer:

2 pens

Step-by-step explanation:

Let x represent the number of pens Linda buys.  Since they cost $2.65 each, this gives us the expression 2.65x.

Adding the cost of the card to this gives us the expression 2.65x+1.17.

She has a total of $9.00; this gives us the equation

2.65x+1.17 = 9.00

Subtract 1.17 from each side:

2.65x+1.17-1.17 = 9.00-1.17

2.65x = 7.83

Divide both sides by 2.65:

2.65x/2.65 = 7.83/2.65

x = 2.95

We cannot buy a portion of a pen, so the most she can buy is 2 pens.

Answer 2

Answer:

The answer is 2 pens.

Step-by-step explanation:

Total amount Linda has in her wallet = $9

Amount spent on buying a card = $1.17

So, amount left with Linda = [tex]9-1.17=7.83[/tex]

Now, she wants to buy pens that cost $2.65, so the maximum number of pens she can buy are = [tex]\frac{7.83}{2.65}= 2.9[/tex]

But, pens cannot be in decimal, so the maximum pens she can buy are 2.


Related Questions

Find an equivalent ratio for the ratio 4 : 5.



400/500
10 : 12
48 to 60
20/30

Answers

If you multiply by 100 you will get the first answer, 400/500. Remember that in order for a ratio to be equivalent you should be able to multiply or divide (NOT add or subtract) by the same number to both numbers.

Answer:

400/500

48 to 60

both  are correct

Step-by-step explanation:

4/ 5

Multiply top and bottom by 100

4*100/ 5* 100 =400/500

400:500

4/5  

Multiply top and bottom by 12

4/5 * 12/12 = 48/60

we can rewrite as 48:60

Which statement shows the associative property of addition? 3⋅(5⋅x)=(3⋅5)⋅x 21 + 2y = 2y + 21 (u + 7) + 13 = u + (7 + 13) If m + 3 = 18, then 18 = m + 3.

Answers

Answer:

(u + 7) + 13 = u + (7 + 13)

Step-by-step explanation:

The associative property moves the parenthesis.  We are doing addition , so we need to look for the problem that moves the parenthesis on addition.


11/12− 1/6q+5/6q−1/3

Answers

Answer:

16/12 = 1 4/12 or 1 2/6

Step-by-step explanation:

The hypotenuse of a 45 -45° -90° triangle measures 18 cm. What is the length of one leg of the triangle?

Answers

Steps

So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

[tex]x\sqrt{2} =18[/tex]

From here we can solve for x. Firstly, divide both sides by √2.

[tex]x=\frac{18}{\sqrt{2}}[/tex]

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

[tex]\frac{18}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}=\frac{18\sqrt{2}}{2}\\\\\\x=\frac{18\sqrt{2}}{2}[/tex]

Next, divide:

[tex]x=9\sqrt{2}[/tex]

Answer

In short, the length of one leg of the triangle is 9√2 cm.



Step-by-step explanation:

A 45-45-90 triangle is a special triangle: If the legs of the hypotenuse each equal x then the length of the hypotenuse is equal to x√2.

To find the length of one of the legs, all we need to do is find the value of "x".

The hypotenuse in a 45-45-90 triangle is equal to x√2.

In this case we are given the hypotenuse which equals 18cm.

x√2 = 18

to find the value of x divide both sides by √2

x√2 / √2 = 18 / √2

x = 18/√2 or 9√2 (the most simplified form)*

x is the length of one of the legs of a 45-45-90 triangle.

*Note: 18 / √2 can be written as 18√2 / 2 which simplified becomes 9√2.Answer: 9√2 cm

find the piont on the graph of 3x-4y=9 where the y- coordinate is 3 times the x-coordinate

Answers

y-coordinate is 3 times the x-coordinate → y = 3x

Substitute to the equation 3x - 4y = 9:

3x - 4(3x) = 9

3x - 12x = 9

-9x = 9     divide both sides by (-9)

x = -1

y = 3(-1)

y = -3

Answer: (-1, -3).

The point of x and y-coordinate after solving the equation is (-1, -3).

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.

Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given equation in the question,

3x - 4y = 9  (i)

It is given that y is three times the x-coordinate,

y = 3x

Substitute it in equation (i)

3x - 4(3x) = 9

3x - 12x = 9

-9x = 9

x = -1

Substitute x = -1 in equation (i)

3(-1) - 4y = 9

-4y = 12

y = -3

Therefore, the point is (-1, -3).

To know more about expression:

https://brainly.com/question/14083225

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Geometry//Arcs and chords//Find the value of x // please explain

Answers

Answer:

x=22

Step-by-step explanation:

In the top lines, it is given they are perpendicular, in the bottom case, you don't know that. However, it is given that the line from the center intersects halfway the chord (I looked that up). By definition that means that these lines are also perpendicular. Since the line from the center is 12 units in both cases, the top chord must be the same size as the bottom chord.

x seems to denote the total length, so that's twice 11, x=22

Answer:

11

Step-by-step explanation:

if you folded the circle in help the 12s would line us and so would x and 11 so x = 11

Eliza travels 6 times as many minutes to school as ricky does.Altogether,they travel 63 minutes each day.How many minutes does Eliza travel?

Answers

Answer:

Eliza travels 54 minutes.

Step-by-step explanation:

Let's use the variable r to represent the number of minutes Ricky travles to school.

Eliza travels 6 times as many minutes as Ricky, so Eliza travels 6r minutes.

Altogether, they travel r + 6r minutes, or 7r minutes.

We are told they travel 63 minutes altogether, so 7r must equal 63.

7r = 63

Divide both sides by 7.

7r/7 = 63/7

r = 9

Ricky travels 9 minutes.

Eliza travels 6r minutes.

6r = 6 * 9 minutes = 54 minutes

Eliza travels 54 minutes.


One hot Saturday, Richard scooped 234 regular cones and 156 large cones. One scoop of ice cream is 3 ounces. A tub of ice cream weighs 10 pounds. How many tubs of ice cream did Richard use to make the cones?

Answers

Answer:

18

Step-by-step explanation:

The total number of scoops of ice cream that Richard got from the tub is,

  (234 regular cones) x (2 scoops / 1 regular cone) + (156 large cones) x (2 scoops / 1 large cone) = 936 scoops


Given that each scoop weighs 3 ounces, the total weight of the ice cream is 2808 ounces. For the number of tubs,

         (2808 ounces) x (1 lb / 16 ounces) x (1 tub /10 lb) = 17.55

Thus, the answer is 18. 


Hope this helped!

(please help!!!) David hikes 2.25 miles in 0.5 hr. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 miles? If he walks for 7 hours, how far will he have gone?

Answers

His rate is 4.5 miles per hour. It would take him 4 hours to hike 18 miles. He would have traveled 31.5 miles in 7 hours.

find the circumstances of a circle with a diameter of 27 cm

Answers

Answer:

84.78 cm

Step-by-step explanation:

The circumference = pi * d

d = 27

The circumference = 27 * pi

p = 3.14

The circumference = 84.78

If that is not among your choices, list what is.

Find the slope of the line represented by the table of values.
A) −4
B) −1/4

C) 4
D) 1/4

Answers

Answer:

B) −1/4


Step-by-step explanation:

The slope represents the change in y values divided by the change in x values.  We can use the formula

slope = (y2-y1)/(x2-x1)

(2,4)  (-2,5)

slope = (5-4)/(-2-2)

        = 1/-4

slope = -1/4

Answer:

B. -1/4

Step-by-step explanation:

To get the slope you have to use the formula: y2-y1/x2-x1

y2-y1/x2-x1 = 4.47-5/-1-(-2)

4.75-5 = -.25

-1 - (-2) = 1

-.25/1 = -.25 or -1/4

Which graph represents a non proportional relationship?

Answers

The graph of a proportional relationship passes through origin (0, 0).

Therefore your answer is B).

Answer:

The answer is B

Step-by-step explanation:

please click the thanks button

Under the dilation, the point (-3, -4) is moved to (-15, -20)
what is the scale factor of the dilation?

Answers

Answer:

The scale factor of dilation is: 5

Step-by-step explanation:

" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

If the scale factor is greater than 1, the image is an enlargement (a stretch) " .

Whenever we multiply an coordinates or for some figure if all the coordinates get multiply by same factor 'a' then 'a' is called as scale factor in the dilation.

Here in this question:

(-3,-4) is moved to (-15,-20).

Here when (-3,-4) is multiplied by 5 we get the coordinate as: (-15,-20).

Hence, the scale factor is 5.


Father gave me some money. I could choose between 15% of 1,500$ or 25% of 1,000$. Which amount did I choose

Answers

Answer:

25% of 1000 > 15% of 1500

Step-by-step explanation:

Lets calculate how much money you could receive

15% of 1500

.15 * 1500 = 225


25% of 1000

.25*1000 = 250


250>225

Final answer:

After calculating 15% of $1,500 and 25% of $1,000, it is evident that choosing the latter provides more money, amounting to $250 compared to $225 from the former option.

Explanation:

Choosing between percentages of different amounts involves straightforward arithmetic. To determine which option gives you more money, calculate the numerical value of each percentage. Option one is 15% of $1,500, which can be calculated as follows:

Convert the percentage to a decimal: 15% = 0.15.

Multiply the decimal by the total amount: 0.15 x $1,500 = $225.

Option two is 25% of $1,000:

Convert the percentage to a decimal: 25% = 0.25.

Multiply the decimal by the total amount: 0.25 x $1,000 = $250.

Now, compare the two amounts: $225 from the first option and $250 from the second option. It is clear that you would receive more money by choosing the 25% of $1,000, as it gives you a total of $250 compared to the $225 from the first option.

The vertex is (2,-7) and the y intercept is -3 what is the quadratic function

Answers

[tex]\bf ~~~~~~\textit{parabola vertex form} \\\\ y=a(x- h)^2+ k \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-7}{ k}) \\\\\\ y=a(x-2)^2-7~\hspace{4em}\stackrel{\textit{y-intercept}}{(0, -3)}~~ \begin{cases} x=0\\ y=-3 \end{cases}\implies -3=a(0-2)^2-7 \\\\\\ 4=a(-2)^2\implies 4=4a\implies \cfrac{4}{4}=a\implies 1=a~\hfill y=1(x-2)^2-7 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y(x-2)^2-7~\hfill[/tex]

The quadratic function with the vertex (2,-7) and y-intercept -3 is f(x) = x² - 4x - 3.

To find the quadratic function given the vertex (2,-7) and the y-intercept -3, we can use the vertex form of a quadratic equation, which is f(x) = a(x - h)² + k, where (h, k) is the vertex.

Substituting the vertex into the equation, we get f(x) = a(x - 2)² - 7. To find 'a', we can use the fact that the y-intercept is -3, which occurs when x = 0. Thus, we substitute x = 0 into the equation to get -3 = a(0 - 2)² - 7.

Simplifying further,

-3 = 4a - 7

4a = 4

a = 1

With this value of 'a', the quadratic function is f(x) = (x - 2)² - 7, or in expanded form f(x) = x² - 4x + 4 - 7, which simplifies to f(x) = x² - 4x - 3.

This function has a vertex at (2, -7) and passes through the y-axis at y = -3, confirming that we calculated the correct equation for the parabola.

Please help supply the missing reasons

Answers

Answer:

ASA congruence and CPCT property

Step-by-step explanation:

There are two triangles PRQ and SRT given

In these two triangles we have

QR=TR, Angle Q = angle T and angle PRQ = Angle SRT

i.e. two angles and corresponding side are congruent.

Hence by ASA congruence for triangles the two triangles

PRQ and SRT are congruent

By CPCT property for congruent triangles,

we have corresponding sides are equal.

Hence PR = SR

Proved.

A flight from New York City to Chicago takes 3 1/2 hours

Answers

Answer:

8 HOURS  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

NY TO CHICAGO = 3.5 HOURS

CHICAGO TO LA = 4.5 HOURS


NY  TO   CHICAGO            CHICAGO TO LA

        3.5                     +                4.5              =  8 HOURS

find the next three term in the sequence-8, 24,-72,216

Answers

Answer:

- 648, 1944, - 5832

Step-by-step explanation:

the terms form a geometric sequence with

common ratio r = [tex]\frac{-72}{24}[/tex] = [tex]\frac{24}{-8}[/tex] = - 3

to obtain the next term in the sequence multiply the previous term by r

216 × - 3 = - 648

- 648 × - 3 = 1944

1944 × - 3 = - 5832

the next 3 terms are - 648, 1944, - 5832


Joe borrowed $9,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 2 years?

Answers

Final answer:

Joe paid $1,260 in interest over 2 years.

Explanation:

To calculate the amount of interest Joe paid in 2 years, we can use the formula: Interest = Principal * Rate * Time. In this case, the principal is $9,000, the rate is 7% (which is equivalent to 0.07), and the time is 2 years. Plugging these values into the formula gives: Interest = $9,000 * 0.07 * 2 = $1,260. Therefore, Joe paid $1,260 in interest over 2 years.

find the value of x and y

Answers

Answer:

 2x+10 // 2 • (x + 5)  

Step-by-step explanation:

Final Result :

     y + 10  

Processing ends successfully



 


A line passes through the point , ( − 6, 1) and has a slope of − 4/3 .

Answers

Final answer:

A line with a slope of -4/3 passes through the point (-6, 1) can be represented by the equation y = -4/3x - 7.

Explanation:

A line with a slope of -4/3 passes through the point (-6, 1).

To find the equation of the line, we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope.

Substituting the values into the equation, we get y - 1 = -4/3(x - (-6)).

Simplifying, we have y - 1 = -4/3(x + 6).

Expanding, y - 1 = -4/3x - 8.

Moving the constant term to the other side, we get y = -4/3x - 7.

Lins family has completed 60% of a trip. They have traveled 45 miles. How far is the trip?

Answers

Answer: Lins Family would drive 75 miles.

Hope this helps!!!!

Step-by-step explanation:

Evaluate the expression 5x-3x for x=2

Answers

x is a placeholder for a number. Think of it as a box. Inside the box, we're told that 2 is there.

So we'll replace every x with 2 and use PEMDAS

5*x - 3*x = 5*2 - 3*2 = 10 - 6 = 4

After simplifying, the answer is 4.

Answer:

4

Step-by-step explanation:

5x-3x

We can simplify this expression

2x

Now we can substitute x=2

2(2)

=4


What is the equation of the line that passes through the points (−2, 3) and (2, 7)?
x − y = −1
x − y = −2
x − y = − 5
x − y = − 6

Answers

The point-slope form of line:

[tex]y-y_1=m(x-x_1)[/tex]

The fomula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinates of the points:

[tex]m=\dfrac{7-3}{2-(-2)}=\dfrac{4}{2+2}=\dfrac{4}{4}=1\\\\y-7=1(x-2)[/tex]

[tex]y-7=x-2[/tex]       subtract y from both sides

[tex]-7=x-y-2[/tex]     add 2 to both sides

[tex]-5=x-y\to\boxed{x-y=-5}[/tex]

you have a case of our mom's each one weighs 1.4 pounds and weight of 28 lb how many watermelons do you have

Answers

Answer:

20 watermelons

Step-by-step explanation:

28/1.4 = 20

Plz give me brainiest!!!!

If f(x)=2x2-5and g(h)=3x+3 find f-g (x)

Answers

Answer:

2x² - 3x - 8

Step-by-step explanation:

note that (f - g )(x) = f(x) - g(x)

= 2x² - 5 - (3x + 3) = 2x² - 5 - 3x - 3 = 2x² - 3x - 8


You save $5,000.00 and invest 60% of it in stocks while leaving the rest in a savings account earning a 4.9% APR. The stock increases 9% in the first year and loses 4% of its value the second year. What would the gain have been if all of the investment had been left in the savings account?

Answers

Answer:

5,340

Step-by-step explanation:

Hi there:)

Amount invested in stock

=5000×0.6=3000

Amount invested in a saving account

5000-3000=2000


The stock increases 9% in the first year

3,000×(1+0.09)=3,270

and loses 4% of its value the second year

3,270×(1−0.04)=3,139.2

Amount of a saving account after two years

2,000×(1+0.049)^(2)=2,200.8


the total amount gained during the 2 years

3,139.2+2,200.8=5,340...answer


Hope it helps




I need to figure out how to start this-please help!

Answers

Answer:

1.) y = -4x + 10

2.) y = 3x - 7

Step-by-step explanation:

Since they're asking for slope-intercept form we must make our equation look like this:

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

Where m is the slope and b is the y-intercept.


1.) [tex]4x+y=10[/tex]

[tex]4x+y=10\\\\4x-4x+y=-4x+10\\\\y=-4x+10[/tex]

Note that we just need to subtract 4x on both sides.  In this case the slope is -4 and the y-intercept is 10.

2.)

[tex]3x-y=7\\\\3x-3x-y=-3x+7\\\\\frac{-y}{-1}=\frac{-3x+7}{-1}\\\\y=3x-7[/tex]

Note that we subtracted 3x on both sides then divided by -1 to get rid of the negative y.  In this case our slope is 3 and our y-intercept is -7

Over time the value at property on 397 west lake street increased by 275. If the initial value of the property was p which expression represents the property current value? A) 375p B) 275p C) 3.75p D) 2.75p

Answers

Answer:

b

Step-by-step explanation:

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Initial value of the property = P

Rate of growth = 275%

So, we need to find the property's current value:

We will use "compound interest ":

Which equations have infinitely many solutions?

Answers

x-1/3(3x) = 0 because if you multiply -1/3 and 3x you get “-x”, and x-x=0 is true for all solutions; the other answer is 3x+2-1/3(3x)=2+2x because if you multiply -1/3 and 3x you get “-x” again; and if we add like terms we get 2x+2=2+2x and if we subtract 2 from both sides we get 2x=2x, and if we divide the whole eqtn by 2 we get x=x which is true for any solution.
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