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vova2212 [387]
2 years ago
6

Can someone help me with this please??

Mathematics
1 answer:
lana66690 [7]2 years ago
6 0
So start with the top one and end w the bottom
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I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna
shutvik [7]

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

3 0
3 years ago
If line AD is a tangent to circle B at point C, and m ABC = 55°, what is the measure of BAD?
nikdorinn [45]

Answer:

145°

Step-by-step explanation:

There are a couple of ways you can get there:

1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...

... ∠BAC = 90° -∠ABC = 90° -55° = 35°

Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...

... ∠BAD = 180° -35° = 145°

2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.

... ∠BAD = 55° +90° = 145°

8 0
3 years ago
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year? For weekly gross i
disa [49]

Answer:

Choice A. $2,392 is the correct answer :)

Step-by-step explanation:

3 0
3 years ago
The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total
maria [59]
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
  $1500/$3 = 500 . . . . adult admissions

There were 200 children at the show.
There were 500 adults at ths show.
6 0
3 years ago
Read 2 more answers
A basket had 120 star apples and mangoes.if there are 90 mangoes what is the ratio of mangoes to star apples.?
leva [86]

Answer:

3 : 1

Step-by-step explanation:

120-90=30

90 mangoes

30 apples

90 : 30 divide both by 10

9 : 3 divide both by 3

3 : 1

6 0
3 years ago
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