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3 years ago

What is the value of p in the linear equation 24p + 12 – 18p = 10 + 2p – 6?

Mathematics

2 answers:

stira [4]3 years ago

6 0

we have

$24p+12-18p=10+2p-6$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$24p-18p-2p=10-6-12$

Combine like terms

$4p=-8$

Divide by $4$ both sides

$4p/4=-8/4$

$p=-2$

therefore

the answer is

the value of p in the linear equation is $-2$

Volgvan3 years ago

4 0

Answer:

The value of p is -2 .

Step-by-step explanation:

As given the equation

24p + 12 – 18p = 10 + 2p – 6

Simplify the above

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

6p - 2p = 4 - 12

4p = -8

$p = \frac{-8}{4}$

p = -2

Therefore the value of p is -2 .

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an observer on a cliff 1200 feet above sea level sights two ships due East. The angle of depression to the shops are 48° and 33°

ziro4ka [17]

See the attached figure to better understand the problem

we know that
in the triangle ABC
tan 48°=AB/AC--------> AC=AB/tan48°------> 1200/tan 48°------> 1080.48 ft

in the triangle ABD
tan 33°=AB/AD---------> AD=AB/tan 33°-----> 1200/tan 33°------> 1847.88 ft

the distance between the ships is AD-AC---> 1847.88-1080.48----> 767.4 ft

the answer is
the distance between the ships is 767.4 ft

4 0

3 years ago

ABC is similar to APQ. Find x and y.

slavikrds [6]

Answer:

x = 10.8

y = 11.2

Step-by-step explanation:

AB : AP = AC : AQ

5 :(5+9) = 6 : (6+x)

5: 14 = 6 :(6+x)

5(6+x) = 14*6

30 + 5x = 84

5x = 54

x = 10.8

AB : AP = BC :PQ

5 :14 = 4 : y

5y = 14*4

y = 11.2

5 0

3 years ago

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Pachacha [2.7K]

Answer:

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Step-by-step explanation:

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2 years ago

James has 6 stamps in his stamp collection. Roy has 12 stamps in his stamp collection. James adds 2 stamps to his stamp collecti

Yuliya22 [10]

For every one stamp James has Roy has twice as much. So the ratio would be 1/2. Hope this helped!

6 0

3 years ago

If the product of two positive fractions a and b is 15/56, find three pairs of possible values for a and b

Andrews [41]

Answer:

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

Step-by-step explanation:

According to the question,

a x b = 15/56

three possible pairs will be as follows:

Before proceeding to make possible pairs, we have to know the prime factorization of the numbers -

15 = 1, 3, 5, 15

56 = 1, 2, 4, 7, 8, 14, 28, 56

As we need three possible pairs, we have to check which pairs take us to 15/56. Again, since the fraction is positive, therefore, the fractions will be proper. Therefore, 3/2, or 5/4 will not be counted. Therefore,

First possible pairs = (3/7)*(5/8) = 15/56

second possible pairs = (3/4)*(5/14) = 15/56

third possible pairs = (1/2)*(15/28) = 15/56

fourth possible pairs = (3/8)*(5/7) = 15/56

So, we can get those four possible pairs. Among those, first 3 pairs are different. Therefore, those are possible pairs.

4 0

2 years ago