A school has 109 students signed up for a science workshop. The school will buy every student attending the workshop a pencil, a folder, and an eraser. A package of 12 erasers is $0.75. Only whole packages of erasers can be bought. Folders are $0.10 each. A package of 8 pencils is $0.50. Only whole packages of pencils can be bought. How much will the school spend?

Answers

Answer 1

Answer:

The amount is $25.4

Step-by-step explanation:

There are 109 students to attend the science workshop.

Number of erasers needed is 109, but whole packages of erases can be bought which consist 12 erasers. The total packages of erasers needed would be 10.

The cost of 10 packages of erasers = $0.75 x 10

                                  = $7.5

The cost of 109 folders = 109 x $0.10

                                  = $10.9

Number of pencils needed is 109, but whole packages of pencils can be bought which consist 8 pencils. The total packages of pencils needed would be 14.

The cost of 14 packages of pencils = $0.50 x 14

                                  = $7.0

Total cost = $7.5 + $10.9 + $7.0

                = $25.4

The amount that would be spent by the school is $25.4

Answer 2

Answer:

25.4

Step-by-step explanation:


Related Questions

4. The list shows the dinner prices at the Carlton Cafe. Organize the data in a table using
intervals: $5.00-$9.99, $10.00-$14.99, $15.00-$19.99, $20.00-$24.99, and $25 and up.
What is the most common interval of dinner prices?
$17.99
$14.00
$17.49
$12.98
$10.00
$12.99
$7.50
$26.00 $22.00
$12.00
$13.50
$21.00
$7.98
$11.50
$14.75
$9.99
$12.50
$8.25
$8.75
$28.50
$11.25
$13.00
$9.00
$6.50
$16.00

Answers

Answer:

The most common interval is 10 to 14.99 $ with 11 items

Step-by-step explanation:

See attached for details.

$10.00-$14.99 is the most common interval of dinner prices.

To find the most common interval of dinner prices,

Organize the data into the specified intervals and then count the occurrences in each interval.

Here are the intervals:

1. $5.00-$9.99

2. $10.00-$14.99

3. $15.00-$19.99

4. $20.00-$24.99

5. $25 and up

Now, let's categorize the dinner prices from the given list into these intervals:

1. $7.50, $7.98, $6.50, $8.25, $8.75, $9.00, $9.99 (7 prices)

2. $10.00, $12.00, $12.98, $12.99, $11.50, $13.50, $11.25, $13.00, $12.50 (9 prices)

3. $14.00, $14.75, $15.00, $17.49, $16.00, $17.99 (6 prices)

4. $21.00, $20.00, $22.00 (3 prices)

5. $26.00, $28.50, $25 and up (3 prices)

Now, let's see which interval has the highest number of prices.

It appears that the second interval, $10.00-$14.99, has the most prices (9 prices), making it the most common interval of dinner prices.

Hence, $10.00-$14.99 is the most common interval of dinner prices.

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Sara missed 7 of 184 school days this year. Approximately what percent of school days was Sara present?
A. 4%
B. 96%
C. 177%
D. 7%​

Answers

Answer:

B. 96%

Step-by-step explanation:

Sara only missed 7 days of 184 days this year meaning 184 - 7 = 177 and

177 is how many days she attended school, so to figure out percentage take the number of days she attended school and divide by the total amount of days in this year which is 184: 177/184 = 0.96195652173

then multiply by 100 to get percentage so approximately 96%.

2. QS bisects 2 PQR Р S 29° R What is m​

Answers

Answer:

slope

Step-by-step explanation:

pls help!!

A line is parallel to y = -3x + 2 and intersects the point (4,3). What is the equation of this parallel line?
y = [?]x + [ ]

Answers

Step-by-step explanation:

Parallel lines have the same slope so they can therefore never touch. Just change the y-int. (Any number as long as it's not the same as the previous)

I.E.:

y = -3x - 12

1. Write an equation that could represent the graph below. Justify why your equation is appropriate for this graph. у​

Answers

Answer:

-x^2

Step-by-step explanation:

Find sin ( A). с 50 14 B -A 48

Answers

Answer: Murder is a sin

Step-by-step explanation:

determine the rate of charge for the graph from 2010 to 2012:​

Answers

Answer:

This answer is D

Step-by-step explanation:

andrew can paint a room in $3$ hours. bob can paint the same room in $6$ hours. how many hours will it take andrew and bob to paint the room together?

Answers

Total time taken by Andrew and bob is 2hr.

given, time taken by Andrew to paint the room = 3hrtime taken by bob to paint the room =6hr rate of Andrew as x =1/3.

rate of bob as y=1/6x+y=1/3+1/6=1/2

total time taken by Andrew and bob =1/x + y      

                                                             =1/1/3+1/6

                                                             = 2hr.

therefore total time taken by Andrew and bob is 2 hr.

The formula for time is given as [Time = Distance ÷ Speed]. To calculate the distance, the time formula can be molded as [Distance = Speed × Time].

To get the total decimal hours we use the formula: h = hours + (minutes / 60) + (seconds / 3600). To get the total decimal minutes we use the formula: m = (hours * 60) + minutes + (seconds / 60).

The types of functions can be broadly classified into four types. Based on Element: One to one Function, many to one function, onto function, one to one and onto function, into function.

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find the 9th term of the geometric sequence 6,-24,96...

please help anyone!

Answers

are u sure it's - 24 in the middle one of the sequence. ?

A sled team consists of 11 dogs and the musher. Each dog weighs 70 pounds and the musher weighs 160 pounds. What is the average weight of the sled team members?

a
68.5 pounds
b
115 pounds
c
73.5 pounds
d
77.5 pounds

Answers

Answer:

C. 73.5lbs

Step-by-step explanation:

Here are six number cards -8,0,-6,2,-4,-2 arrange the cards into three pairs with the same total

Answers

[ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ] are probability of the cards into three pairs with the same total .

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

( -8 ) + 0 + ( - 6) + 2 + ( -4 ) + ( -2 )   =   -20 + 2 = -18

                                                              { addition of negative numbers }

So, each pair  =  -18 / 3  = -6  { division }

so the pairs are = [ -8, 2 ] [ -6 , 0 ] [ -4 , - 2 ]

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How do I answer this question-

Answers

9514 1404 393

Answer:

  18 cm

Step-by-step explanation:

Consider right triangle PCA.

The length PC is the hypotenuse of that triangle. It is also the radius of the circle: 15 cm.

The length AC is AB -CB = (27 -15) cm = 12 cm.

The length AP can be found from the Pythagorean theorem:

  AP² +AC² = PC²

  AP² = PC² -AC² = (15 cm)² -(12 cm)² = (225 -144) cm² = 81 cm²

  AP = √(81 cm²) = 9 cm

Since A is the midpoint of PQ, the length of PQ is double the length of AP:

  PQ = 2·AP = 2·9 cm

  PQ = 18 cm

PLEASE HELP ME !!!!!!!!!!!
for each equation, find f(-x) and -f(x) and then determine whether if is even, odd or neither. Justify your answer


[tex]f(x)=x^4+4/x^2+1[/tex]

Answers

The function f(x) = x^4 + 4/x^2 + 1 is an even function

How to determine the function type?

The equation of the function is given as

f(x) = x^4 + 4/x^2 + 1


Calculate f(-x)

So, we have

f(-x) = (-x)^4 + 4/(-x)^2 + 1

Evaluate the exponents

f(-x) = x^4 + 4/x^2 + 1

Calculate -f(x)

So, we have

-f(x) = -[x^4 + 4/x^2 + 1]

Evaluate the product

-f(x) = - x^4 + 4/x^2 + 1

From the above computations, we have

f(x) = f(-x)

This represents an even function

Hence, the function f(x) = x^4 + 4/x^2 + 1 is an even function

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Find the value of X? Please answer both :))

Answers

Answer 1 :-

In the given figure , two sides of the triangle are equal , so it is isosceles triangle . So , as we know that in an isosceles triangle equal side's opposite answers are also equal . Now ,

=> x = 75°

Hence , x = 75°

Answer 2 :-

Using the same property which we used in the above problem ,

• x = x

Now using angle sum property of triangle ,

=> x + x + 40° = 180°

=> 2x + 40° = 180°

=> 2x = 180° - 40°

=> 2x = 140°

=> x = 140° / 2

=> x = 70°

Hence , x = 70° .

Answer:

The ans to the first question would be 75, Coz....

It's an Isosclese triangle, as both sides are equal [The two lines on the triangle indicate that its equal]

So,the angle given is 75 degrees, the other angle would be 75 degrees too.

For the second question-

The same rule applies here, the triangle shown is an isosclese triangle,so the angle x & the angle opposite to x should be equal [The angle opposite or next to angle x is blank, so lets just call it y]

The equation of a triangle goes-

The angles of a triangle add upto 180

So 40+x+y=180

180-40 will give the sum of both angle x & y

180-40=140 [Now we know that x+y=140, we also know that both angles have the same value, so basically they're equal]

this means that we can divide 140 equally into two parts to disturbute the value to both x & y

140/2=70 degrees

So, the ans of x=70 [y is also 70, but the question doesnt  ask for it]

5x + 3 ≤ 18 and 4-X<6
Question
A. Solve the inequalities and show your work.
B. graph the solution to the compound sentence on the number line.

Answers

The answer would A! :3

Which table shows a proportional relationship between weight and price?
CLEAR
CHE
Weight Price
$2.50
20 g $5.00
10 mg
Weight Price
2.5 g $5.00
5g $7.50
Weight Price
5 lb $15.00
10 lb $20.00
Weight Price
1 kg
$0.25
8 kg $2.00

Answers

Answer:

The first table

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

Answers

Answer:

We get value of the value of b = 5

Step-by-step explanation:

Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

We have slope m: [tex]m=-\frac{1}{6}[/tex]

We need to find value of b (y-intercept)

Using the point A(-6,6) and slope [tex]m=-\frac{1}{6}[/tex] we can find b.

Using slope-intercept form, putting values of m and x and y we get the value of b:

[tex]y=mx+b\\6=-\frac{1}{6}(-6)+b\\6=1+b\\b=6-1\\b=5[/tex]

So, we get value of the value of b = 5

Answer:

C: 5

Step-by-step explanation:

Edg 2022

Help If u can please show ur work thank you

Answers

Answer:

c

Step-by-step explanation:

you substract both numbers to get 29. Difference in math problems means to subtract!

Find the coordinates of the orthocenter of the triangle whose vertices are A(3, 1), B(0, 4) and C(-3, 1).​

Answers

The point of intersection of two perpendicular drawn from any two vertices of the triangle is known as orthocenter.
Let us consider the perpendicular drawn from A is AD and perpendicular drawn from the vertex B is BE.
Slope of AC  =  [(y2 - y1)/(x2 - x1)]
A (3, 1) and C (-3, 1)
here x1  =  3, x2  =  -3, y1  =  1 and y2  =  1
  =  (1 - 1) / (-3 - 3)
=  0 / (-6)
=  0
Slope of the altitude BE  =  -1/ slope of AC
  =  -1/0
Equation of the altitude BE :
(y - y1)  =  m (x -x1)
Here B (0, 4) and m  =  -1/0
 (y - 4)  =  -1/0 (x - 0)
10 (y - 4)  =  -1(x)
x + 10y - 40  =  0  --------(1)
Slope of BC  =  (y2 - y1)(x2 - x1)]
B (0, 4) and C (-3, 1)
Here x1 = 0, x2 = -3, y1 = 4 and y2 = 1.
  =  (1 - 4) / (-3 - 0)
  =  (-3)/(-3)
   =  1
Slope of the altitude AD  =  -1/ slope of AC
=  -1/1
=  -1
Equation of the altitude AD :
(y - y1)  =  m (x - x1)
Here A(3, 1)  m  =  -1
(y - 1)  =  -1 (x - 3)
(y - 1)  =  -x + 3
x + y - 1 - 3  =  0
x + y - 4  =  0
x = -y + 4--------(2)
Substituting (2) into (1), we get
-y + 4 + 10y - 40  =  0
9y - 36  =  0
y  =  36/9
y  =  4
By applying y  =  4 in (1), we get
x  =  -4 + 4
x  =  0

Help with math problem

Answers

Where is you question? We can’t see anything... have a great day!

3
-2
T
B
0
-2
2
A
3
The distance AB = [?]
Round to the nearest tenth.

Answers

the distance between the points A and B that is AB is equal to 5.39 units.

We are given the points as:

A = ( 2, 3 )

B = ( 0, - 2 )

We need to find the distance AB between the points.

The distance between the points is given by the formula:

Distance = √ ( y₂ - y₁ )² + ( x₂ - x₁ )²

Substituting the values in the formula, we get that:

Distance AB = √ ( - 2 - 3 )² + ( 0 - 2 )²

Distance AB = √ ( - 5 )² + ( - 2 )²

Distance AB = √ 25 + 4

Distance AB = √ 29 units

Distance AB = 5.39 units.

Therefore, we get that, the distance between the points A and B that is AB is equal to 5.39 units.

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The perimeter of a rectangle was 60 centimeters. The length is 4 centimeters longer than the width, w. What equation could be used to solve this problem? Choose all that apply.
a.2(w)+ 2(w+4) =60
b. w(w+4) =60
c.4w+8=60
d.2w+(w+4) =60

Answers

Answer:

a. 2w + 2(w+4) = 60

Answer:

the answers a

Step-by-step explanation: the width is 10 and the length is 20

There are 32 marbles to share equally among 8 children. How many marbles does each child get?

Answers

Answer:

each child get 4

Step-by-step explanation:

Answer:

4 marbles

Picture:

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Point P( –3, 1) is rotated 270°, then reflected across y=x. What is P′′?

Answers

Point P=(-3,1). The point P is rotated 270°. Reflected across y=x. The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates point P"=(3,1).

Given that,

Point P=(-3,1)

The point P is rotated 270°.

Reflected across y=x.

The reflection of (x, y) across the line y = x results in (y, x)

Across the line y = x, P(-3, 1) is reflected (1, -3)

The given image is obtained by rotating a preimage by 270 degrees clockwise and using its coordinates (x, y) is (-y, x)

The given image is produced by rotating the preimage, P, by 270 degrees clockwise. Its coordinates are P = (1, -3) is (3, 1)

Therefore, point  P"=(3,1)

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9x-6y=20 and -3y=2x-11 parallel perpendicular or neither

Answers

The equations are perpendicular because the slopes of the two lines are negative reciprocals.

Answer:

-2/3 is the negative inverse of 3/2

FIND THE UNIT RATE HELP ITS DUE IN 30 MINUTES

Answers

Answer:

The unit rate = 2 dollars / per pineapple

Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.

Step-by-step explanation:

The unit rate represents the slope of the line.

It means the slope is often termed as a ratio, which could be expressed as a unit rate found at the point on the graph with the given ordered pairs.

Let us take two points that lie on the graph to determine the unit rate (or slope)

(1, 2)(2, 4)

unit rate = slope = y₂-y₁ /  x₂-x₁

                            = 4-2 / 2-1

                            = 2/1

                             = 2

Thus, the unit rate = 2 dollars / per pineapple

The location of point A is (7, 14)

i.e. A(7, 14)

Point A(7, 14) indicates that the value of 14 pineapples is 7 dollars.

Rewrite the equation by completing the square.
X^2+ 10x + 25 = 0
(x+

Answers

(x+5) * (x+5) = 0

or (x+5)^2 = 0

I NEED HELP WILL GIVE BRAINLIEST. PLZZZZ

Answers

The first option is correct !!!!!
First option tho!! Is the right answer

If f(x) = 2x + 1, then f(3) = ?


Answers

it’s 28 because you are inputting 3 for x. 2^3 is 27, and then you add 1 so it would be 28.

If f(x) = 2x + 1, then f(3) =9.

What is a Function?

A function is a relation between a set of inputs having one output each. In simple words.

Solving the function:

We have

[tex]f(x)=2^{x} +1\\f(3)=2^3+1\\f(3)=8+1\\f(3)=9.[/tex]

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In the trapezoid below, x = [? ]

Answers

if this trapezoid is to scale, then the scale factor between the shortest and longest side is 1.5

so, that means that 1.5(2x+6) = 4x+2

so, your equation becomes 3x+9 = 4x+2

if you subtract 2 from each side, you get 3x+7 = 4x

meaning that x = 7

i hope this helps, and i'm sorry if it's wrong!! :)

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