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
Gala2k [10]
3 years ago
14

Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

It will cost $42 for 28 binders

Step-by-step explanation:

We know that 15 binders = 22.50 dollars . We need to find the cost of 18, 30, 28, and 48 binders to figure out if they match up with the statements. One way to do this is to find the cost for one binder, and then multiply that by the number of binders to find the cost for a certain number of binders. For example, if one binder costs 2 dollars, five binders would cost 2 * 5 = 10 dollars.

To figure out how much one binder costs, we can use the division property of equality to divide both sides of our equation (15 binders = 22.50 dollars) by 15. We divide by 15 because anything divided by itself is equal to 1, and that would make it 1 binder = something dollars.

Applying this, we get

(15 binders)/15 = (22.5 dollars)/15

1 binder = 1.5 dollars

For 18 binders, this would cost 1.5 * 18 = 27 dollars. We know this because we add 1.5 dollars for each binder.

For 30 binders, this would cost 30*15=45 dollars

For 28 binders, this would cost 1.5 * 28 = 42 dollars

For 48 binders, this would cost 1.5*48 = 72 dollars

The only one that matches up is 28 binders for 42 dollars

You might be interested in
Share $600 between Anna and Raman in the ratio 3:7 and 1:4
Ulleksa [173]

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

<u>Shares when ratio is 3 : 7</u>

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

                   \frac{3}{10} \times 600 = \$  180

Raman 's share=

                  \frac{7}{10} \times 600 = \$ 420

<u>Shares when ratio is 1 : 4</u>

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

                   \frac{1}{5} \times 600 = \$ 120

Raman's share =

                  \frac{4}{5} \times 600 = \$ 480

8 0
3 years ago
Find the y-intercept of the line that has a slope of -3 and passes through (9,0)
Ann [662]

9514 1404 393

Answer:

  27

Step-by-step explanation:

For point (x, y) and slope m, the y-intercept can be found from the equation ...

  b = y -mx

  b = 0 -(-3)(9) = 27

The y-intercept is +27. The corresponding ordered pair is (0, 27).

7 0
2 years ago
Identify the percent of change as an increase or a decrease. 4/5 to 3/5
vovikov84 [41]

Answer:

Decrease

Step-by-step explanation:

So, I encourage you to grab a calculator and see for yourself

Put in the function: 4/5 into a standard calculator. You will see that it will come out to .8

Put in the function: 3/5 into a standard calculator. You will see that it will come out to .6

.6 is less than .8, just as 3/5 is less than 4/5.

Another analogy that can be used is seeing the fraction as a real-life object.

Let's say that you make two pies. You cut the pie evenly into five slices. You set them on the table and leave them for whoever wants to eat them. You see that Pie 1 has two slices missing (3/5) and that Pie 2 has one slice missing. (4/5)

3 out of 5 slices are left of Pie 1.

4 out of 5 slices are left of Pie 2.

Pie 1 has less than Pie 2 does.

Hope this has helped!

6 0
3 years ago
Please help, what is the value of x
marusya05 [52]
I think the answer is x=2 <span />
6 0
3 years ago
Use the Euclidean Algorithm to find the greatest common divisor of the polynomials f(x) = x^3 + 3x^2 + 6x + 1 and g(x) = 5x^4 +
fomenos

Answer:

3x+1.

Step-by-step explanation:

First we divide g(x)/f(x) (the process is in the first image):

5x-15 in Z7[x] is 5x-1 and 17x^2+86x+16 is r(x)= 3x^2+2x+2 in Z7[x]. So

g(x)/f(x) = (5x-1)(x^3+3x^2+6x+1)+3x^2+2x+2

Now gcd(g,f) = gcm(f,r).

f(x)/r(x) = 5x(3x^2+2x+2) + 3x+1

Then, gcd(f,r) = gcd(r,3x+1).

r/(3x+1) = (x+5)(3x+1) +4

Then, gcd(r, 3x+1) = gcd(3x+1,4) = 3x+1.

So, gcd(f,g) = 3x+1.

5 0
3 years ago
Other questions:
  • Consider the set consisting of the first 10 positive whole numbers​ (that is, 1-10). Complete parts​ (a) through​ (c) below.
    14·1 answer
  • Slope= -6 y intercept= -3 ??
    10·1 answer
  • A slow jogger runs a mile in 13 mins calculate the speed in in/s
    10·1 answer
  • ON EVERYTHING PLEASE
    13·2 answers
  • A commercial airplane flying with a speed of 700 mi/h is detected 1000 miles away with a radar. Half an hour later an intercepto
    10·1 answer
  • I GIVE 70 POINTS !!!!!!!!!!
    14·2 answers
  • Mags is 2 years older than Vector. Which equation will
    9·1 answer
  • Elena is 56 inches tall.
    8·2 answers
  • Could someone help me i don’t understand it
    13·1 answer
  • More and more people own ferrets as pets. The number of ferrets owned
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!