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
aliya0001 [1]
2 years ago
11

I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna

tional. How many stamps do I have altogether? How many Canadian and how many international?
Mathematics
1 answer:
shutvik [7]2 years ago
3 0

Answer: N= 375, C= 875

Step-by-step explanation:  Let Canadian stamps=C

Let International stamps=N

C=875     and        N=375

 

C - 500=N,  .70(N + C) =C

Solve the following system:

{C-500 = N |     (equation 1)

0.7 (C+N) = C |     (equation 2)

Express the system in standard form:

{-N+C = 500 |     (equation 1)

0.7 N-0.3 C = 0 |     (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 |     (equation 1)

0 N+0.4 C = 350 |     (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 |     (equation 1)

0. N+C = 875. |     (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. |     (equation 1)

0 N+C = 875. |     (equation 2)

Collect results:

Answer: |  N = 375        and             C=875

You might be interested in
Please provide answer to 3-3 x 6 + 2 =
kicyunya [14]

Answer: 0

Step-by-step explanation:

3 - 3 is 0

6 + 2 is 8

0 x 8 = 0

5 0
2 years ago
Read 2 more answers
On a Venn diagram, a value that represents what two circles have in common is written outside of both circles. True or false
Lana71 [14]
Answer: False. 

Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles. 
6 0
3 years ago
Read 2 more answers
The Florida Panther can run at a rate of 35 miles per hour. How many miles can the panther run in 3 hours?
Rainbow [258]

Answer:

105 miles in 3 hours

Step-by-step explanation:

Your Welcome

6 0
3 years ago
The equation 2x^2 – 8x = 5 is rewritten in the form of 2(x – p)^2 + q = 0. what is the value of q?
QveST [7]

Answer:

q = -13

Step-by-step explanation:

The given equation is:

2x^{2}-8x=5

Taking 2 as common from left hand side, we get:

2(x^{2}-4x)=5\\\\2[x^{2} - 2(x)(2)]=5

The square of difference is written as:

(a-b)^{2}=a^2 - 2ab + b^{2}                            Equation 1

If we compare the given equation from previous step to formula in Equation 1, we note that we have square of first term(x), twice the product of 1st term(x) and second term(2) and the square of second term(2) is missing. So in order to complete the square we need to add and subtract square of 2 to right hand side. i.e.

2[x^{2}-2(x)(2)+(2)^2-(2)^{2}]=5\\\\ 2[x^{2}-2(x)(2)+(2)^2]-2(2)^{2}=5\\\\ 2(x-2)^{2}-2(4)=5\\\\ 2(x-2)^2-8=5\\\\ 2(x-2)^{2}-8-5=0\\\\ 2(x-2)^{2}-13=0

Comparing the above equation with the given equation:

2(x-p)^{2}+q=0, we can say:

p = 2 and q= -13

6 0
2 years ago
If Pablo works 9 hours and receives $800 what would he revive for working 5 hours?
nlexa [21]
9 hours received $800

1 hour will be = $800/9

If he had worked 5 hours would receive:  $800/9 * 5 ≈ $444.44

He would receive ≈ $444.44
6 0
3 years ago
Other questions:
  • What is the y-intercept equation of the line below y=8x+7
    6·1 answer
  • (-7)^-1 without an exponent
    7·1 answer
  • I need help with this fast​
    11·1 answer
  • As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write an inequal
    6·2 answers
  • ben owns a older american truck. The odometer shows distance travelled in miles. On a recent trip to deliver produce for his emp
    5·1 answer
  • What is the value of 0.1561 rounded to the nearest tent in a decimal and a fraction
    13·1 answer
  • Find the missing value in the table.
    8·1 answer
  • Jerry leaves home driving at 50 miles per hour. Ten minutes later, Jenny drives after him at the speed 65 miles per hour. When w
    11·1 answer
  • What is the inverse of the function y = 2x + 3?
    11·2 answers
  • 1.) How much does this person save each month?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!