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cestrela7 [59]
4 years ago
12

The sum of two numbers is 75. The second number is 3

Mathematics
1 answer:
mihalych1998 [28]4 years ago
8 0

Answer:

26 and 49.

Step-by-step explanation:

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James is solving a number puzzle that involves three integers, a, b, and c, where c is a positive integer. The product of a and
m_a_m_a [10]

Given:

Three integers, a, b, and c, where c is a positive integer.

The product of a and b is 6.

The product of a and c is -4.

The product of b and c is -6.

To find:

The values of a,b and c.

Solution:

According to the given information:

ab=6        ...(i)

ac=-4       ...(ii)

bc=-6      ...(iii)

From (ii), we get

a=-\dfrsc{4}{c}          ...(iv)

From (iii), we get

b=-\dfrsc{6}{c}         ...(v)

Putting a=-\dfrsc{4}{c}  and b=-\dfrsc{6}{c} in (i), we get

\dfrac{-4}{c}\times \dfrac{-6}{c}=6

\dfrac{24}{c^2}=6

\dfrac{24}{6}=c^2

4=c^2

Taking square root on both sides, we get

\pm \sqrt{4}=c

\pm 2=c

It is given that c is a positive integer. So, it cannot be negative and the only value of c is c=2.

Putting c=2 in (iv), we get

a=-\dfrsc{4}{2}

a=-2

Putting c=2 in (v), we get

b=-\dfrsc{6}{2}

b=-3

Therefore, the values of a,b,c are a=-2,b=-3,c=2.

8 0
3 years ago
What statement about the angles measures is true ( PLS HELP ME)
Stels [109]
I think is B
I think is B
8 0
3 years ago
Mark cast a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If mark is 6 feet t
Trava [24]

Answer:

30 ft

Step-by-step explanation:

We can use the given information to set up a ratio...

\frac{Mark's\ height}{Mark's\ shadow}=\frac{Tree's\ height}{Tree's\ shadow}

\frac{6\ ft}{4\ ft}=\frac{x}{20\ ft}

We can solve this ratio using cross multiplication (multiply the numerator of the first fraction by the denominator of the second and the numerator of the second fraction by the denominator of the first):

120 = 4x

Divide both sides by 4

x=30 ft

5 0
3 years ago
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked LESS?
vichka [17]
2/5 will be the answer
6 0
3 years ago
Read 2 more answers
If 3t – 7 = 5t, then 6t =
gayaneshka [121]

Answer:

-21

Step-by-step explanation:

3t-7=5t

-7=5t-3t

-7=2t

t= -7/2

6t=?

6(-7/2)= -21

6 0
4 years ago
Read 2 more answers
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