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xenn [34]
3 years ago
5

David looks into two brick companies to construct the brick border for his garden. Evergreen landscapers charges an installation

fee of $250 plus $0.20 per brick. Garden Works charges an installation fee of $400 plus $0.05 per brick. For what amount of bricks do the two companies charge the same amount?
Mathematics
1 answer:
Naya [18.7K]3 years ago
5 0

Answer:

For 1,000 bricks, the amount charged will be the same

Step-by-step explanation:

Let the number of bricks for which they charge the same amount be $x

Thus;

The total cost from the first company will

be;

250 + 0.2(x) = 250 + 0.2x

The second will charge;

400 + 0.05(x) = 400 + 0.05x

Since the amount charged will be equal at x bricks, we need to equate both;

400 + 0.05x = 250 + 0.2x

400-250 = 0.2x-0.05x

150 = 0.15x

x = 150/0.15

x = 1,000

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45/30=3/3 times 15/10
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4 0
3 years ago
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The speed(S) of a car varies partly directly as its mass(M) and partly directly as the quantity (Q) of fuel in it. When the spee
weeeeeb [17]

Answer:

S varies partly directly as M and Q.

S=C.

S=KMQ+C.

For the first one...

speed=80,m=220,Q=30.

80=K20×30+C.

80=600K+C......(I).equation one.

For the second one....

speed=60,m=300,Q=40.

60=K300×40+C.

60=12000K+C.....(ii). equation two.

Minus eqtn(I) from eqtn(ii).

80=600K+C.

- 60=12000K+C.

K=0.01754~0.018.

Substitute K=0.018 into eqtn(I).

80=600K+C

80=600×0.018+C.

80=10.8+C.

C=80-10.8=69.2.

The relation is S=0.018MQ+69.2

when speed is 100 and mass is 250 find the volume.

100=0.018×250×Q+69.2.

100=4.5Q+69.2.

4.5Q=100-69.2

4.5Q=30.8.

Q=30.8/4.5.

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6 0
3 years ago
1. (3-7i) and (0+2i)
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5 0
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I need help. this is due in less than 10 min and i have no clue how to solve. any tips appreciated
babymother [125]

Answers:

  • a) x = 9
  • b) arc JK = 68
  • c) arc MJ = 112
  • d) arc LMK = 248

================================

Explanation:

Arcs JK and KL form a semicircle, so they add to 180 degrees

(arcJK) + (arcKL) = 180

(5x+23) + (17x-41) = 180

22x-18 = 180

22x = 180+18

22x = 198

x = 198/22

x = 9

Then you'll use this x value to find arc JK and arc KL

arc JK = 5x+23 = 5*9+23 = 68

arc KL = 17x - 41 = 17*9-41 = 112

Since central angles MNJ and KNL are vertical angles, this means minor arcs MJ and KL are congruent arcs. So arc MJ is also 112 degrees

Arc LMK is basically nearly everything of the full circle, but we exclude out the portion from L to K (the shorter distance)

arc LMK = (full circle) - (measure of minor arc LK)

arc LMK = 360 - 112

arc LMK = 248

8 0
3 years ago
Please help! 25 points
Zinaida [17]

Answer: Look at explanation

Step-by-step explanation:

32 = 2 x 2 x 2 x 2 x 2

27 = 3 x 3 x 3

16 = 2 x 2 x 2 x 2

No as 32 can be broken down to 8 and 4 and not just pime and not prime

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2 years ago
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