1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Monica [59]
3 years ago
10

Nick's Printing Press promptly sold 5-cent pencils and 10-cent pens to the public. It sold 1000 writing utensils and took $74.50

in sales. How many pens and how many pencils did Nick's Printing Press sell?
Mathematics
1 answer:
galben [10]3 years ago
4 0

Answer:

  • 490 pens
  • 510 pencils

Step-by-step explanation:

Let p represent the number of pens Nick sold. Then the revenue is ...

  0.10p +0.05(1000 -p) = 74.50

  0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50

  p = 490 . . . . . . . . . . . . multiply by 20

The number of pencils sold is then ...

  pencils = 1000 -490 = 510

Nick's Printing Press sold 490 pens and 510 pencils.

You might be interested in
Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
  • brainly.com/question/2115496
  • brainly.com/question/10610299

#learnwithBrainly

5 0
2 years ago
What is the Volume of the square pyramid? (Round to the nearest tenth as needed)
GrogVix [38]
<h3><u>given</u><u>:</u></h3>

base= 25mm

height= 28mm

<h3><u>to</u><u> </u><u>find</u><u>:</u></h3>

the volume of the pyramid.

<h3><u>solution</u><u>:</u></h3>

v= a^2 h/3

v= 25^2 28/3

v= 5833.33333

v= 5833.3mm^3

8 0
2 years ago
Read 2 more answers
GOOD AT GEOMETRY??? NEED BRAINLIEST AND POINTS?? YOU NEED MY HELP AND I NEED YOURS! ALL YOUR HELP IS APPRECIATED!!!
jeyben [28]

Answer:

<h2>In a quadrilateral, opposite angles are congruent.</h2>

Step-by-step explanation:

Angle B & D are both opposite to each other, yet congruent.

8 0
3 years ago
Trigonometry questions
trasher [3.6K]

We'll use standard labeling of right triangle ABC, C=90 degrees, legs a, b, hypotenuse c.

11.

Right triangle, cliff peak A, boat B, angle opposite cliff is B=28.9 deg. adjacent leg a=65.7 m, cliff height is leg b.

tan B = b/a

b = a tan B = 65.7 tan 28.9° = 36.3 m

12.

Similar story, boat at B, opposite b=3.5 m, rope c=12 m

sin B = b/c

B = arcsin b/c = arcsin (3.5/12) = 17.0°

13.

c=124 m, A=58°

sin A = a/c

a = c sin A = 124 sin 58 = 105.2 m

14.

That's a hypotenuse c=4-1.2 = 2.8 m to a height b=1.8m so

cos A = b/c

A = arccos b/c = arccos (1.8/2.8) = 50.0°

15.

Not a right triangle, an isosceles triangle.  Half of it is a right triangle with hypotenuse one arm, c=9.8 cm and angle opposite half the base of B=62/2=31°.  We're after d=2b:

sin B = b/c

b = c sin B

d = 2b = 2 c sin B = 2(9.8) sin 31 = 10.1 cm

Almost equilateral


4 0
3 years ago
Which one is greater explain why. 8/10 and 0.91
BARSIC [14]

Answer:

0.91 because 8/10 as a decimal is 0.8

Step-by-step explanation:

so 0.91 is bigger than 0.8

7 0
3 years ago
Read 2 more answers
Other questions:
  • The coordinates of three vertices of a rectangle are (4,3), (3,0), and (-2,0). what are the coordinates of the fourth vertex?
    7·1 answer
  • Angle 3 and angle 4 form a linear pair. The measure of Angle 3 is four more than three
    7·1 answer
  • A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates w
    9·1 answer
  • The frequency distribution shows the number of registered motor vehicles for a random sample of 200 California households.
    6·1 answer
  • Linear relations I need help on these two
    6·1 answer
  • Use the three conditions to show that function f(x)=2x^2 +3x - 1 is continuous at x=0.​
    8·1 answer
  • Q. # 15 please help to solve
    8·1 answer
  • Tamara feeds her cat 1/8cup canned food each day and the
    8·2 answers
  • Simplify 6.4×0.25×16/0.8×0.5 leaving your answer in standard form​
    6·2 answers
  • Please help with question C
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!