A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens and pencils were purchased if there were 80 more pencils than pens?

Answers

Answer 1

Answer:

120 pens and 200 pencils

Step-by-step explanation:

Let the number of pencils bought be x while pens will be y.

Cost

Considering that a pen costs $1 then for y pens, the cost will be y*$1=$y

The pencils cost $0.5 then for x pencils the cost will be $0.5*x=$0.5x

Total cost is $220 hence expressed as

0.5x+y=220

Quantity

Since the number of pencils, x were more than number of pens, y by 80 pieces then

x=80+y

Since we initially had the equation 0.5x+y=220 then we substitute x with 80+y hence

0.5(80+y)+y=220

40+0.5y+y=220

1.5y+40=220

1.5y=220-40=180

y=180/1.5=120

Since x=y+80 and y is found to be 120 then

x=120+80=200


Related Questions

PLEASE HELP FOR 13 POINTS AND BRAINLIEST! ;)

Answers

Answer:

No because even though you aren't actually picking the exact people yo do and don't wanna survey but your only surveying those who buy hot lunches when in order to get accurate data, you have to survey everyone who bought hot and cold lunches from the school cafeteria.

The table shows the length of hospital stay for 21 randomly selected adult patients. What is the interquartile range of this data?

Answers

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

Answer:

8.5

Step-by-step explanation:

To calculate it, first order your data points from least to greatest, then determine your first and third quartile positions by using the formulas (N+1)/4 and 3*(N+1)/4 respectively, where N is the number of points in the data set.

after you do that then say IQ=Q3-Q1

A scenic overlook which extends over a ravine is shaped like a kite.
Find M A) 105°
B) 102°
C) 51°
D) 204°

Answers

Answer:

b

Step-by-step explanation:

i did jajajajajajaja jajajajjaja

the measure of angle X is [tex]\( 104^\circ \).[/tex]

To calculate the measure of angle X in a kite-shaped scenic overlook, we'll follow these steps:

Write the equation representing the sum of the measures of all the angles in the kite, which is [tex]\( 360^\circ \).[/tex]

Identify the two angles that are equal in the kite, which are angles X and Z.

Write the equation representing the sum of these angles and the given angle measures.

Solve for the measure of angle X.

Now, let's perform the calculation:

Equation representing the sum of the measures of all the angles in the kite:

[tex]\[ \angle X + \angle Y + \angle Z + \angle W = 360^\circ \][/tex]

Identify the two equal angles:

  Since the kite has two pairs of adjacent sides that are equal, the angles opposite these sides will be equal. So, [tex]\( \angle X = \angle Z \).[/tex]

Write the equation representing the sum of these angles and the given angle measures:

[tex]\[ \angle X + 40^\circ + \angle X + 112^\circ = 360^\circ \][/tex]

Solve for the measure of angle X:

[tex]\[ 2\angle X + 152^\circ = 360^\circ \] \[ 2\angle X = 360^\circ - 152^\circ \] \[ 2\angle X = 208^\circ \] \[ \angle X = \frac{208^\circ}{2} \] \[ \angle X = 104^\circ \][/tex]

So, the measure of angle X is [tex]\( 104^\circ \).[/tex]

The complete question is:

A scenic overlook which extends over a ravine is shaped like a kite.

Find mZX

A) 105°

B) 102°

C) 51°

D) 204°

How long does it take a runner to run 12km if he is running at a speed of 7km/h

Answers

Answer:

about an hour and 42 minutes

Step-by-step explanation:

Time=Distance/Speed

Answer:

1.714285714285714 hours

Step-by-step explanation:

12/7

Find the surface area of the triangular prism (above) using its net (below).

Answers

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

The length of the large rectangle is: 5 The width of the large rectangle is: 7

=> Area of the large rectangle = length × width  = 7*5 = 35 square units

The length of the middle rectangle is: 7The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width  = 7*4 = 28 square units

The length of the small rectangle is: 7The width of the small rectangle is: 3            

=> Area of the small rectangle = length × width  = 7*3 = 21 square units

Area of top and the bottom triangles =2* [tex]\frac{1}{2}bh[/tex]  [tex]= 4*3 =12[/tex]  

Total surface area = 35 + 28 + 21 + 12 = 96 square units

Answer:

It is 136

Step-by-step explanation:

What is the Vertex? y = 3x ^2 + 12x − 10

Answers

Answer: -2,-22

Step-by-step explanation:

The radius of a circle is 3 m. Find its area to the nearest tenth

Answers

Answer:

28.26

Step-by-step explanation:

3^2*3.14 = 28.26

To find area you square the radius and then multiply by 3.14 or π pi

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

To find the area of a circle, we can use the formula:

Area = π (radius)²

Given that the radius is 3 meters, we substitute this value into the formula:

Area = π(3²)

Area = 9π

Since we are asked to round the area to the nearest tenth, we can approximate the value of π as 3.14:

Area ≈ 3.14 x 9

Area ≈ 28.26

Rounded to the nearest tenth, the area of the circle is approximately 28.3 square meters.

The area of a circle is calculated by multiplying the square of its radius by the mathematical constant π (pi). In this case, with a radius of 3 meters, the area is approximately 28.3 square meters. Rounding the decimal to the nearest tenth gives us the final result of 28.3 square meters.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ6

i can’t figure this out!! please helppp

Answers

Answer:

The third answer

Step-by-step explanation:

(side note: You probably need to use a calculator that can calculate pi)

The formula to find the area of a circle is pi r squared.

In this case, pi times r squared is 19.63495....... continued

This is probably going to be rounded

so... 19.63

For all of the circles, this is multiplied by 4.

This is 78.52

The area of the square is 100 cm since 10 times 10 is 100

You take 100 cm and then subtract it by 78.54

Voila! now you have 21.46

The third answer thank me later

A polygon with 4 sides is shown with its exterior angles. The exterior angles are 140 degrees, 34 degrees, 56 degrees, and x degrees. What is the value of x?

Answers

Given:

Given that the polygon has 4 sides with its exterior angles.

The exterior angles are 140°, 34°, 56° and x°

We need to determine the value of x.

Value of x:

We know that, the exterior angles of a polygon add up to 360°

Thus, we have;

[tex]140^{\circ}+34^{\circ}+56^{\circ}+x=360^{\circ}[/tex]

Adding the terms, we have;

[tex]230^{\circ}+x=360^{\circ}[/tex]

Subtracting both sides of the equation by 230, we get;

[tex]x=130^{\circ}[/tex]

Thus, the value of x is 130°

Final answer:

The value of the unknown exterior angle x in the quadrilateral is 130 degrees, calculated by subtracting the sum of the given exterior angles from the total sum of 360 degrees.

Explanation:

The student is asking about finding the value of an unknown exterior angle (x) in a quadrilateral. In geometry, the sum of the exterior angles of any polygon always equals 360 degrees. Given that three of the exterior angles are provided as 140 degrees, 34 degrees, and 56 degrees, we can find the value of the unknown exterior angle x degrees by subtracting the sum of these provided angles from 360 degrees.

First, we add the given angles:

140 degrees + 34 degrees + 56 degrees = 230 degrees

Next, we subtract the total from 360 degrees to get the value of x:

360 degrees - 230 degrees = 130 degrees

Therefore, the value of x, the unknown exterior angle of the quadrilateral, is 130 degrees.

Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two
integers?
-23
-5
9
14

Answers

Answer:

23

Step-by-step explanation:

here

9 and 14. are numbers

sum is 9 +14 = 23

Nick cleans his room in 1 10 in a hour room for 3 minutes

Answers

This word problem doesn't make sense. Rephrase then I can solve.  I believe you need units for the 110.  I do not know what the 110 is.

what is the value of x?
(geometry question)

Answers

Given:

The interior angles of the triangle are 44°, 3t - 45° and x - 15°

The exterior angle of the triangle is 4t - 29°

We need to determine the value of x.

Value of t:

The value of t can be determined using the exterior angle theorem.

Applying the theorem, we have;

[tex]44+3t - 45=4t-29[/tex]

         [tex]3t - 1=4t-29[/tex]

        [tex]-t - 1=-29[/tex]

              [tex]-t=-28[/tex]

                [tex]t=28[/tex]

Thus, the value of t is 28.

Value of x:

The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.

Since, linear pairs add up to 180°, we have;

[tex]4t-29+x-15=180[/tex]

Substituting t = 28, we get;

[tex]4(28)-29+x-15=180[/tex]

  [tex]112-29+x-15=180[/tex]

                   [tex]x+68=180[/tex]

                           [tex]x=112[/tex]

Thus, the value of x is 112.

Which expression is equivalent to 81 Superscript one-third?

Answers

Answer:

A. on edge

Step-by-step explanation:

Answer:

A) 3[tex]\sqrt[3]{3}[/tex]

Step-by-step explanation:

Hope this help, I got it right on Edge.

What is the probability that a person older than 35 has a hemoglobin level less

Answers

Answer:

has a hemoglobin level between 9 and 11 is 0.284.

Step-by-step explanation:

What type of number can be written as a fraction p/q, where p and q are
integers and qis not equal to zero?

Answers

Answer:

Rational Numbers.

Step-by-step explanation:

These include terminating and repeating decimals. Numbers that can't be expressed as the type of fraction you've described are called Irrational Numbers.

I need help guys I don’t understand this

Answers

Answer:

3:2 Three boxes next to two boxes.

Step-by-step explanation:

A ratio is like comparing things to others. Like if I had 3 cookies and you had 2 cookies the ratio would be 3:2. Three boxes next to two boxes.

How many degrees are in the period of y = cos (3x)

Answers

Answer:

Step-by-step explanation:

cos(3x)=cos (3x+2π)=cos (3x+360)

period for 3x=360°

period=360/3=120°

Final answer:

The period of the function y = cos(3x) is π/3 or 120 degrees, since the coefficient '3' in the function's argument compresses the usual period of cos(x) by a factor of three.

Explanation:

The period of a trigonometric function represents the length of one complete cycle of the function. For the function y = cos(3x), we are dealing with a cosine function that has been horizontally compressed by a factor of 3. The standard period of the cosine function is 2π radians. However, the presence of the 3 within the argument of the cosine function means that the period is reduced by a factor of 3, because the function completes its cycle 3 times faster than the standard cosine function.

To find the period of the given function, we divide the standard period of the cosine function by the coefficient of the x variable inside the function:

Standard period of cos(x) = 2πPeriod of cos(3x) = ÷ 3Calculated period = 2π / 3

Therefore, the period of y = cos(3x) is π/3 or approximately 120 degrees.

Can anyone help me with this? I will mark you as brainliest

Answers

Answer:

6×6×6×6×6×6×6=279936

6×6×6×6×6=7776

279936÷7776= 36

36 is the answer but u could express it as: (6²)....Six squared

Step-by-step explanation:

help plz

6yd - 2ft 7in

Answers

185 in because because becuase i searches it up up yp up up up up up up

What is the y-intercept?

Answers

The y intercept is zero because it crosses the y axis at 0

Answer:

The y-intercept is 0

Step-by-step explanation:

what two fractions are between 6/9 and 7/9

Answers

So we know that 6/9 is the same as 12/18 (we multiplied by two, but it stays the same) and 7/9 is also 14/18. So, you could say that 13/18 is in between.

Rectangle ABCD has four right angles.
1. What is the sum of its angle measures?

Answers

90+90+90+90 is 360
Therefore, the interior angle sum of a rectangle is 360 degrees

Answer:

Step-by-step explanation:

Step 1: 1 angle 90

4 angle -> 360

Variable expression:


Four times the result of 3 times a number subtracted from 2.

Answers

Answer:

8-12n

Step-by-step explanation:

We can name "a number,"  "n."

4(2-3n)

Distribute.

4*2=8

4*-3n=-12n

8-12n

Select the correct answer.
Kendall rented a truck to move some of his household items. The figure shows the inside dimensions of the truck.
14
ft.
What is the volume of the truck?
621 1 cu.ft.
558
cu.ft
1,116
cu.ft
494 1 cu.ft.

Answers

Answer:

6211 c.u. ft.

Step-by-step explanation:

Answer:

621 11/16 cu. ft.

Step-by-step explanation:

This figure shows one way to decompose the shape.

i would be so greatful if someone can help me with this

Answers

same i need to do this

Please help if you can
Thank you!!

Answers

Answer:

0.67

Step-by-step explanation:

2/6 is shaded red, and 4/6 is shaded white. 4/6 is simplified to 2/3, 2/3 as a decimal is 0.67.  

What is the area of the SHADED sector of the circle?

Answers

Answer:

565.2 units²

Step-by-step explanation:

(162/360) × pi × r²

(162/360) × 3.15 × 20²

565.2

Help me find my answer please

Answers

Answer:

f = - [tex]\frac{19}{7}[/tex]

Step-by-step explanation:

Given f varies directly with m then the equation relating them is

f = km ← k is the constant of variation

To find k use the condition that f = - 19 when m = 14, thus

- 19 = 14k ( divide both sides by 14 )

- [tex]\frac{19}{14}[/tex] = k

f = - [tex]\frac{19}{14}[/tex] m ← equation of variation

When m = 2, then

f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]

Identify the x- and y-intercepts of the graph

Answers

Answer:

see explanation

Step-by-step explanation:

The x- intercept is where the graph crosses the x- axis, that is

( [tex]\frac{1}{3}[/tex], 0 )

The y- intercept is where the graph crosses the y- axis, that is

(0, 1 )

Which equation can be used to find the volume of this solid? A rectangular prism with a length of 5 centimeters, width of 4 centimeters, and height of 2 centimeters.



HHHHHHHHHHHHHEEEEEEEEEEEELLLLLLLLLLLLPPPPPPPPPPP MMMMMMMMMEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I think its A

Step-by-step explanation:

Answered a question like that in my test

Answer:

A) V=2x4x5

Step-by-step explanation:

because im a helping hand

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