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Natali [406]
3 years ago
8

9) Divide £105 in the ratio 7:8

Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

£49, £56

Step-by-step explanation:

A ratio of 7:8 means a ratio of 7 parts to 8 parts.

The total number of parts is 15.

105 is how many time 15?

105/15 = 7

Since 105 is 7 times 15, then you need to muyltiply 7 and 8 also by 7.

7 * 7 = 49

7 * 8 = 56

Answer: £49, £56

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A company has a cost equation of c=0.925x^2-4x+20 and a profit equation of p=-1.125x^2+6x+40. Solve for the breakeven point.
lana66690 [7]
0.925x^2 - 4x + 20 = -1.125x^2 + 6x + 40 (at break even point)

2.05x^2 - 10x - 20 = 0

x =  [ - (-10) +/- sqrt(100 - 4*2.05*-20) / (2*2.05) 

x =  6.40, -1.52   Ignore the negative 

Answer is  6.40


3 0
3 years ago
Carlos has a $5 bill. If he buys an eggplant, how much change will he receive? Carlos will receive $_____ in change. (1 eggplant
WINSTONCH [101]

Answer:

$4.11

Step-by-step explanation:

If Carlos buys the eggplant with a $5 bill and it only costs $.89 cents he will have $4.11 cents in change because $5.00

-$0.88

= $4.11

8 0
3 years ago
Read 2 more answers
Can someone answer this question?
KonstantinChe [14]

Answer:

No solution.

Step-by-step explanation:

(1/12)^-2b * 12^(-2b + 2) = 12

1/12 is basically the same thing as 12^-1.

12^(-1 * -2b) * 12^(-2b + 2) = 12

12^2b * 12^(-2b + 2) = 12

12^(2b - 2b + 2) = 12

12^2 = 12

Since the answers don't match up, the answer will be no solution.

Hope this helps!

5 0
4 years ago
Read 2 more answers
Zachary has been trying to work on an essay for almost three hours, but he can't seem to focus for more than 15 or 20 minutes at
Julli [10]
Well he should go somewhere he can be alone

5 0
3 years ago
How many of the 1000 smallest positive integers are congruent to 1 modulo 9?
Serjik [45]
1 modulo 9 is the set of numbers as follows:

(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19

All we have to do is divide 1000 by 9, and round down.

1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.

the set is as follows:

(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
5 0
4 years ago
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