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mariarad [96]
3 years ago
5

A company has two large computers. The slower computer can send all the company's email in 35 minutes. The faster computer can c

omplete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job
Mathematics
1 answer:
Naddik [55]3 years ago
4 0

The rate for the first is 1 job / 35 minutes and for the second is 1 job / 15 minutes.  So combined we get

r = 1/35 + 1/15

3×5×7r = 3 + 7 = 10

r = 10/(105) jobs per minute

We're interested in 1/r

1/r = 105/10 = 10.5 minutes per job

Answer: 10.5 minutes

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Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
MArishka [77]

Answer:

x = 28

Step-by-step explanation:

Given that lines AB and CD are straight lines that intersects at O, it follows that the pair of opposite vertical angles formed are congruent.

Thus,

<AOD = <BOC

<AOD = 152°

<BOC = 3x + x + (x + 12) (angle addition postulate)

<BOC = 5x + 12

Since <AOD = <BOC, therefore,

152° = 5x + 12 (substitution)

152 - 12 = 5x (subtraction property of equality)

140 = 5x

140/5 = x (division property of equality)

28 = x

x = 28

4 0
3 years ago
If one root of the equation is 4x^2- 2x+p-4 be the reciprocal of other. then find the value of p​
SashulF [63]

Answer:

p = 8

Step-by-step explanation:

Let one root of the eqn. be alpha . Other root is 1/alpha .

We know that product of both roots of an quadratic eqn. is c/a where "c" is the co-efficient of the constant  & "a" is the co-efficient of x^2.

Here "c" is p-4 & "a" is 4. And the product of roots is 1 ( ∵ prdouct of a number and its reciprocal is 1 )

\frac{c}{a} = 1\\=> \frac{p - 4}{4} = 1\\=> p - 4 = 4\\=> p = 4 + 4 = 8

5 0
3 years ago
jane is twice as old as Barbara. Michael is 7 years older than Jane. If Michael is 21, which equation could be used to find Barb
dedylja [7]

Step-by-step explanation:

J = 2b

M = J + 7

M = 21

J = 21 - 7

J = 14

B = 7

<em>Equation:</em>

If M is J+7, so then J = 21-7. J is 2*b, so 2*b = 21-7. Then you subtract and divide.

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Step-by-step explanation:

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