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
vaieri [72.5K]
2 years ago
10

A woman bought some large frames for 

Mathematics
1 answer:
geniusboy [140]2 years ago
5 0

Answer:

8 pairs of large glasses and 12 pairs of small ones

Step-by-step explanation:

Let's say the number of large frames she buys is l, and the number of small frames is s. She buys 20 frames of assorted sizes, but they can only be small or large. Therefore, s + l = 20.

Next, the total cost of large frames is 12 dollars for each frame. Therefore, the total cost for the large frames is equal to 12 * l. Similarly, the total cost for the small frames is equal to 5 * s. The total cost of all frames is equal to 156, so

12* l + 5 * s = 156

s + l = 20

In the second equation, we can subtract l from both sides to get

s = 20 - l

We can then plug that into the first equation to get

12 * l + 5 * (20-l) = 156

12 * l + 100 - 5*l = 156

subtract both sides by 100 to isolate the variable and its coefficient

12 * l  -  5 * l = 56

7 * l = 56

divide both sides by 7 to isolate the l

l = 8

The woman buys 8 pairs of large glasses. The number of small glasses is equal to 20-l=20-8=12

You might be interested in
Work out the area of a circle in terms of pie when the radius is 6mm
FinnZ [79.3K]

Answer:

36π mm²

Step-by-step explanation:

Please, Mark, it's π or pi, not pie.  

Formula for the area of a circle:  A = πr²

so, if the radius is 6 mm, the area is A  =π(6 mm)² = 36π mm²

7 0
2 years ago
A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'
Soloha48 [4]

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

Let the width = x feet

Length = (x+8) feet

The pool alongside the walkway gives;

Width = x + 5 + 5 = (x + 10) feet

Length = x + 8 + 5 + 5 = (x + 18) feet

Total area of the pool with walkway = 950 square feet

Note that formula for area is given as

Area = length * width = 950

Equate the length and width

(x+18)  × (x + 10) = 950

Using the  FOIL method, we have;

(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950

x² + 10x + 18x + 180 -950 = 0  

collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

Learn more about area of a rectangle here:

brainly.com/question/14137384

#SPJ1

3 0
1 year ago
The equation of line m is 3x−5y=−4.
a_sh-v [17]
I line that is perpendicular is a line with reversed slopes like 2/1 is perpendicular to -1/2. So find the slope by getting the y by itself and reverse it. Remember to switch the signs too! P.S. if you don't know how to get the y by itself just take and subtract 3x from -5y and -4 then divide by 5. Hope I helped!
8 0
2 years ago
Which geometric object is defined as the set of all points in a plane at a given distance from a given point
hodyreva [135]

Answer:

Circle

Step-by-step explanation:

This object is what we call "circle". All the points in the circle are at the same distance from a given point which is the center of the circle. Moreover, the distance between the center and every point on the circle is called "radius". Higher values for the radius imply points at a higher distance from the center.

Additionally, we can calculate the perimeter of the circle, or the circumference, with the following formula:

circumference = 2*(radius) pi

Where pi is an irrational number usually used as 3.14.

If you have doubts, try to draw a circle and measure the distance between the center and any point on the circle.

8 0
3 years ago
Find f(3) of the following function
lakkis [162]

Answer:

6 \times 3 - 4 = 18 - 4 = 14

8 0
2 years ago
Other questions:
  • Select the perfect square trinomial from among the options below.
    9·1 answer
  • Solution of x² + 8x + 12 = 0?
    9·2 answers
  • An access code consists of of a letter followed by four digits. Any letter can be used, the first digit cannot be 0, and the las
    9·1 answer
  • 2(4x - 5) - (x - 4) solve please
    6·2 answers
  • Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
    5·2 answers
  • It’s all there in the picture will give brainlest to correct answer
    15·1 answer
  • I) If a, b, care in continued proportion then show that,<br>(a+b)2/ab=(b+c)2/bc​
    11·1 answer
  • Please help me thank you
    5·1 answer
  • BRAINLIEST FOR THE RIGHT ANSWER, ANYONE?
    13·1 answer
  • Which algebraic expression has a term with a coefficient of 9?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!