Isabelle bought some stationery. 1/3 of them were pencils. 5/8 of the remainder were erasers and the rest were ruler.The cost of the stationery is ,Pencil: $1.20 ,Eraser :$1 ,Ruler: $0.50 She spent a total of $169.50 on all the stationery. How much more did she spend on erasers than rulers.

Answers

Answer 1

Answer:

She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.

Step-by-step explanation:

We are given that Isabelle bought some stationery.

Fraction of pencil = [tex]\frac{1}{3}[/tex]

Remaining stationary =[tex]1-\frac{1}{3}=\frac{2}{3}[/tex]

5/8 of the remainder were erasers

So, part of eraser in stationary=[tex]\frac{5}{8} \times \frac{2}{3}=\frac{5}{12}[/tex]

Remaining stationary(rulers)=[tex]\frac{2}{3}-\frac{5}{12}=\frac{1}{4}[/tex]

Cost of ruler = $0.50

Cost of [tex]\frac{1}{4}[/tex]rulers =[tex]0.50 \times \frac{1}{4}=\frac{1}{8}[/tex]

Cost of eraser=$1

Cost of [tex]\frac{5}{12}[/tex] eraser=[tex]\frac{5}{12}[/tex]

Difference in cost of eraser and rulers =[tex]\frac{5}{12}-\frac{1}{8}=\frac{7}{24}[/tex]

Hence She spend[tex]\frac{7}{24}[/tex] more on erasers than rulers.


Related Questions

The circumference of a circle is 6π in. What is the area, in square inches? Express your answer in terms of \piπ.

Answers

Step-by-step explanation:

Hey, there!!

According to the question,

There is given circumference = 6pi in.

or, 2.pi.r = 6pi.in

or, r = 6 pi.in/ 2

Therefore, the radius (r)= 3in.

now,

area = pi.r^2

a= pi× (3in)^2

Therefore, the area is 9.pi.in^2.

Hope it helps....

Answer:

A ≈ 2.86

Step-by-step explanation:

Using the formulas

A = πr²

C = 2πr

Solving for A

A = C²/ 4π = 6²/ 4·π ≈ 2.86479

A line that contains the points (5, −3) and (7, 3) has a slope, m, that equals

Answers

Answer:

m = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (7, 3)

m = [tex]\frac{3+3}{7-5}[/tex] = [tex]\frac{6}{2}[/tex] = 3

On a coordinate plane, triangle A B C is shown. Point A is at (negative 2, negative 4), point B is at (2, negative 1), and point C is at (3, negative 4). Triangle ABC is an isosceles triangle in which side AB = AC. What is the perimeter of triangle ABC? 5 + StartRoot 10 EndRoot units 10 + StartRoot 10 EndRoot units 10 StartRoot 10 EndRoot units 50 units

Answers

Could you show a picture please?

Answer:

B, 10+ /10 units

Step-by-step explanation:

Can someone help me with this page I don’t know how to do this type of math

Answers

2a+4=10
subtract 4 from 10 and you get 6, then you divide by 2 and a=3

4b-3=17 same here
you do the opposite sign so you add 3 to 17 and you get 20 then you divide by 4 and b=5

3c+5=11
subtract 5 from 11 you get 6 then you divide by 3 and c=2

help me solve please

Answers

Answer:

D) 16+4√2

Step-by-step explanation:

If the area of the triangle is 8, we use 1/2bh to find it.  Since b and h are the same on this triangle, we find that 8=1/2(4)(4)

Now we know that the two sides of the parallelogram and the top two sides of the triangle are all 4.  We just need to find the bottom of the parallelogram to know the perimeter.  It’s the same as the hypotenuse of the right triangle.

4²+4²=c²

16+16=c²

32=c²

c=√32  Now we have all 5 sides.

4+4+4+4+√32

16+√32

16+4√2

Solve. 2x−y+3z=6 2x+y=3 2y−4z=−4 Enter your answer, in the form (x,y,z), in the boxes in simplest terms. x= y= z=

Answers

Answer:

(3/2, 0, 1)

Step-by-step explanation:

From 2x+y=3 we have => y=3-2x

From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x

Plug in y & z to find x

2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2

plug in x to find y

2x+y=3 => 2(1.5) + y =3 => y=0

plug in y to find z

2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1

You have been saving $12 each week for many weeks. One day, you decide to count your savings and find that you have $384. Write and solve a multiplication equation to find how many weeks w you have been saving.

Answers

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

so

384=12x

x= 32

Solve the equation for x​

Answers

Answer:

x = 33

Step 1:

First, let's add the values together from both parentheses.

2x + x = 3x

1 + (-10) = -9

Now we are left with:

3x - 9 = 90.

Step 2:

Add 9 on the left side to cancel out the 9. Add it to the right side.

3x = 99

Finally, divide both sides by 3 to get our answer.

3x / 3 = x

99 / 3 = 33

x = 33

n circle L, arc NOP is 90° and the radius is 5 units. Which statement best describes the length of arc NOP? circle M with radii LM, LN, LO, and LP so that arc MNOP is created

Answers

Answer:

[tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference

Step-by-step explanation:

Data provided as per the question is

Arc NOP = Central angle = [tex]\theta = 90^\circ[/tex]

The Radius of circle = 5 units

The statement is shown below:-

we need to determine the statement which defines the best length of arc NOP

Arc length is

= [tex]\frac{control\ angle}{360} \times circumference\ of\ circle[/tex]

now we will put the values into the above formula

= [tex]\frac{90}{360} \times 2\pi r[/tex]

= [tex]\frac{1}{4} \times 2\pi r[/tex]

Hence, the [tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference is the best statement described.

Find the Volume of the following shape.

Answers

Answer:

The trapezoidal prism's volume is [tex]312m^{2}[/tex]

Step-by-step explanation:

Step 1: Recognize the shape is a trapezoidal prism

Constructed from:

Trapezoids

Step 2: Solve the area of the shape

Area of Trapezoid = [tex](\frac{a+b}{2} h) =( \frac{5+8}{2} 4.8)=(\frac{13}{2} 4.8) = 31.2m^{2}[/tex]

Step 3: Multiple the area of the Trapezoid by the width

Area of Trapezoid x 10m = Area of Trapezoidal Prism

[tex](31.2m^{2} )(10m^{2} )= Volume\\312m^{3} =Volume[/tex]

A personal trainer keep track of the number of minutes each of his 20 clients exercise on the treadmill and the number of calories each client burned during that time removing. which TWO of these data points will cause the correlation coefficient to decrease the most?


A). Data point A

B). Data point B

C). Data point C

D). Data point D

Answers

Answer:

Data Point B and Data point E

Step-by-step explanation:

Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.

Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.

Help me with 1 please

Answers

Answer:

[tex]\huge\boxed{Mass = 11600\ kg}[/tex]

Step-by-step explanation:

Given:

Density = ρ = 2900 kg/m³

Volume = V = 4 m³

Required:

Mass = m = ?

Formula:

Mass = Density × Volume

Solution:

Mass = 2900 * 4

Mass = 11600 kg

heyy
the answer is

mass=11600 kg

Graph the function f(x)=6x^5+8x^4-7x^3-5x^2+10 by making a table of values.

Answers

Answer:

Step-by-step explanation:

A fifth-grade polynomial requires a minimum of 6 different points to create an adequate graph. Let is [tex]X[/tex] the dominion of the polynomial, such that [tex]0[/tex], [tex]1[/tex], [tex]2[/tex], [tex]3[/tex], [tex]4[/tex], [tex]5[/tex] [tex]\in X[/tex]. The values of the function for each value are calculated herein:

x = 0

[tex]f(0) = 6\cdot 0^{5}+8\cdot 0^{4}-7\cdot 0^{3}-5\cdot 0^{2}+10[/tex]

[tex]f(0) = 10[/tex]

x = 1

[tex]f(1) = 6\cdot 1^{5}+8\cdot 1^{4}-7\cdot 1^{3}-5\cdot 1^{2}+10[/tex]

[tex]f(1) = 12[/tex]

x = 2

[tex]f(2) = 6\cdot 2^{5}+8\cdot 2^{4}-7\cdot 2^{3}-5\cdot 2^{2}+10[/tex]

[tex]f(2) = 254[/tex]

x = 3

[tex]f(3) = 6\cdot 3^{5}+8\cdot 3^{4}-7\cdot 3^{3}-5\cdot 3^{2}+10[/tex]

[tex]f(3) = 1882[/tex]

x = 4

[tex]f(4) = 6\cdot 4^{5}+8\cdot 4^{4}-7\cdot 4^{3}-5\cdot 4^{2}+10[/tex]

[tex]f(4) = 7674[/tex]

x = 5

[tex]f(5) = 6\cdot 5^{5}+8\cdot 5^{4}-7\cdot 5^{3}-5\cdot 5^{2}+10[/tex]

[tex]f(5) = 22760[/tex]

The table is now presented:

 x                 y

 0                10

 1                 12

 2               254

 3               1882

 4               7674

 5              22760

Finally, the graphic is now constructed by using an online tool (i.e. Desmos). The image is included below as attachment.

Find y round to the nearest tenth

Answers

The answer is Y = 27.8

Y is 27.8

Just trust me please :)

Find the area of the shape shown below.
2
2
2
2
2
units

Answers

Answer:

8

Step-by-step explanation:

khan

Answer:

8

Step-by-step explanation:

–20, - 12,5, 22, . . .
An=
A50=

Answers

Answer:

an = 17n - 46

a50 = 804

Step-by-step explanation:

-29, -12, 5, 22, ...

Subtract each number from the next one.

-12 - (-29) = 17

5 - (-12) = 17

22 - 5 = 17

The common difference is 17. This is an arithmetic sequence which starts with -29, and in which each subsequent value is 17 more than the previous value.

a1 = -29

a2 = -29 + 17

a3 = -29 + 2(17)

a4 = -29 + 3(17)

Notice that for each term, you have -29 and something added to it. What you add to -29 is 17 multiplied by 1 less than the number of the term. For term 1, 1 less than 1 is 0. You add 0 * 17 to -29 and get -29. term 1 is -29. For term 2, 1 less than 2 is 1. You add 1 * 17 to -29 and get -12, etc.

For term n, 1 less than n is n - 1. Add (n - 1) * 17 to -29 to get term n.

an = -29 + 17(n - 1)

This formula can be simplified.

an = -29 + 17n - 17

an = -46 + 17n

an = 17n - 46

a50 = 17(50) - 46

a50 = 804

hey can you help me w/ some math ?? i make $8.50 an hour. monday through sunday only wednesday’s off. how much will i have in 2 years from today ? monday, tuesday & sunday is from 4-9pm .... then friday,saturday & sunday is from 4-10pm.

Answers

Answer:

$29252.1669

Approximately $29252.1

Step-by-step explanation:

For Monday,  Tuesday and Sunday:

=> 8.50 x 5 x 3

=> 8.5 x 15

=> 127.5

I multiplied 8.5 and 5 because you work for 5 hours. Then multiplied them with 3 it is for 3 days.

For Friday, Saturday, Thursday:

=> 8.5 x 6 x 3

=> 8.5 x 18

=> 153

I multiplied 8.5 and 6 because you work for 6 hours. Then multiplied them with 3 because it is for 3 days.

In 1 week you get:

=> 153 + 127.5

=> 280.5

In 1 year there are 52.1429 weeks.

So, you get:

=> 52.1429 x 280.5

=> 14626.08345

For 2 years, you get:

=> 14626.08345x 2

=>  29252.1669

=> Approximately $29252.1

Sue likes to run. One day she was running for 3 hours with an average speed of 7 miles per hour. How many miles did she run that day?

Answers

Answer:

21 miles

Step-by-step explanation:

Since every single hour she runs 7miles.

In 3 hours she will run 7*3 miles.

21 miles

Hey there! I'm happy to help!

If Sue ran with an average speed of 7 miles an hour for 1 hour, she would have run 7 miles. So, if she ran at this speed for 3 hours, she would have run 3 times the distance she would if she ran for one hour!

7×3=21

Therefore, Sue ran 21 miles that day.

Have a wonderful day! :D

Which of these expressions is equivalent to 3x(x-1)-5(x-1)? Select all that apply.
3x^2-8x+5
x-1(3x-5)
(3x-5)(x-1)
(x-1)(3x+5)

Answers

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

hope it helps.

Answer:

[tex]\boxed{3x^2 -8x+5}[/tex]

[tex]\boxed{(3x-5)(x-1)}[/tex]

Step-by-step explanation:

[tex]3x(x-1)-5(x-1)[/tex]

Expand brackets.

[tex]3x(x)+3x(-1)-5(x)-5(-1)[/tex]

[tex]3x^2 -3x-5x+5[/tex]

Combine like terms.

[tex]3x^2 -8x+5[/tex]

[tex]3x(x-1)-5(x-1)[/tex]

Take x-1 as a common factor.

[tex](3x-5)(x-1)[/tex]

What is the x-value of the solution to the system of equations? 5x + 4y = 8 2x − 3y = 17 −3 −2 4 5

Answers

Answer:

            x = 4

Step-by-step explanation:

5x + 4y = 8   ⇒   4y = 8 - 5x  ⇒  y = (8 - 5x)÷4

2x − 3y = 17

2x - 3(8 - 5x)÷4 = 17    

          ×4            ×4    

8x - 3(8 - 5x) = 68

8x - 24 + 15x = 68

          +24       +24

           23x  =  92  

           ÷23      ÷23

               x = 4

Answer:

it is 4

Step-by-step explanation:

i did it on edge hope it helps.:)

Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88​

Answers

Answer:

Each slice of pizza cost:

$1.63

Step-by-step explanation:

4.89/3 = 1.63

Answer:

$1.63

Step-by-step explanation:

We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.

cost / slices

It costs $4.89 for 3 slices.

$4.89 / 3 slices

Divide 4.89 by 3 (4.89/3=1.63)

$1.63 / slice

The cost of each slice of pizza is $1.63

holly drinks 2 2/5 litre of water each day. The water comes in 1 2/5 litre bottles. How many bottles does Holly drink in a week?

Answers

Answer:Holly drank 12 bottles in a week.

Step-by-step explanation:

First change the fraction 1 2/5 litre into a decimal, by doing this, we can know how many litres are there in 2/5.

So= 1 2/5

= 2 ÷5 = 0.4

= 1 + 0.4 = 1.4 liters

1.4 liters is the amount of water in a bottle.

Next, also change the fraction 2 2/5 litres into a decimal.

So=2 2/5

= 2÷5 = 0.4

= 2 + 0.4 = 2.4 liters

She drinks 2.4 liters a day.

To find how many bottles she drank in 1 week, we must multiply the amount of water she drinks in a day to the days in a week.

So= 1 week= 7 days

= 1 day= 2.4 liters

So= 2.4 × 7 = 16.8

She drinks 16.8 in a week.

To find how much bottles she drank in a week, we must divide the amount of liters she drank in one week to the amount of liters are there in a bottle.

So= 16.8 ÷ 1.4= 12 bottles

Holly drinks 12 bottles in a week.

I hope this helps! I'm sorry if it's wrong and complicated.

show that (x-1) is a factor of x¹⁰-1​

Answers

Answer:

The answer is 0 X=1

1. x10-1

(1)10-1

1-1

=0

2. x11-1

(1)11-1

1-1

=0

Step-by-step explanation:

x^10 - 1 = (x^5+1)(x^5-1)
= (x^5+1)(x)(x^2+1)(x^2-1)
= (x^5+1)(x)(x^2+1)(x+1)(x-1)

See that (x-1) is one of the factors after the factorization. This proves it.
Whew

from a group of 25 men,12 were to be given gifts.What is the probability of choosing a man who did not a gift​

Answers

Answer: 13/25

Explanation:

There are 25 men in total
12 were to be given gifts

Find the probability of choosing a man who did not receive a gift:

P = 25/25 - 12/25 = 13/25

Answer:

13/25

Step-by-step explanation:

When you subtract 12 from 25, you get 13. So, 13 men did not get a gift.

Hence,

the probability would be 13/25 of the men who did not get a gift.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Plz help ASAP assignment due today !!!

Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.

Answers

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

PLEASE HELP I WILL GIVE BRAINLIEST Complete the frequency table: Method of Travel to School Walk/Bike Bus Car Row totals Under age 15 60 165 Age 15 and above 65 195 Column totals 152 110 98 360 What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%

Answers

Answer:

11%

Step-by-step explanation:

1. Fill out the table with the correct numbers.

2. After you fillout the numbers, you should notice that under the column car and in the first row, there should be the number 18.

3. We know the total number of students under the age of 15 is 165.

4. To find the percent:

       18/165 * 100

               = 11%

Answer:

41%

Step-by-step explanation:

Look at the column "Age 15 and above".

Notice how the row total for that column is 195.

Also, look at "Bus".

Notice how there is a gap between 60 and 110.

To calculate the answer, you need to fill in the blanks using the surrounding numbers.

60 + 50 = 110, so to the right of "65" on "Age 15 and above", there should be a 50.

The "195" at the end of the row is now on the same row as the numbers: 65, 50, and a blank spot.

Now, all we have to do is simply ask ourselves what 65 + 50 gets us, and what we need to add to that to get 195.

65 + 50 = 115, 115 + 80 = 195.

Although, notice that this does not mean the answer is not 80%.

We need to find what percentage is 80 out of 195.

80 out of 195 = 41.03%.

By rounding, we will get an answer of 41%.

Does coordinate p or coordinate q represent a greater number?

PLEASE HELP!!

Answers

Answer: the answer is P

Step-by-step explanation:

Please answer question

Answers

Answer:

87.6yd²

Step-by-step explanation:

Base: =1/2bh

=1/2(6)(5.2)=15.6

Sides: =1/2bh

=1/2(6)(8)=24 (3 of them)

15.6+24+24+24=87.6yd²

The finite geometric sequence has 10 terms. The sum of all terms with even index is 682 and the sum of all terms with odd index is 1364. Determine the first term. Please also state what does "index" refer to in the question?

Answers

Answer:

First term=1024

Common ratio = ½

Step-by-step explanation:

Index means its position

Even index means the 2nd, 4th, 6th ....terms

Which data set has an outlier?

Answers

Answer:

Option B

Step-by-step explanation:

You can tell this because it has the largest difference from the second highest listed value.

Answer:

Answer Is D

Step-by-step explanation:

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