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galina1969 [7]
2 years ago
15

For what values of p is the value of the binomial 1.5p−1 smaller than the value of the binomial 1+1.1p by 4?

Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

  p = -5  (only)

Step-by-step explanation:

It looks like we want to count solutions for ...

  (1.5p -1) = (1 +1.1p) -4

  0.4p = -2

  p = -2/0.4 = -5

For p having a value of -5, the binomial (1.5p -1) = -8.5 will be smaller than the value of (1 +1.1p) = -4.5 by 4.

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A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain p
k0ka [10]

Given,

CP of cosmetics = Rs 360 per dozen

SP of a pair of cosmetics = Rs 80

We need to find the profit percentage.

Solution,

We know that,

1 dozen = 12 items

CP of 1 cosmetic = 360/12 = Rs 30

SP of 1 cosmetic = 80/2 = Rs 40

Profit = SP-CP

= Rs 40 - Rs 30

= Rs 10

Profit percentage is given by :

\%=\dfrac{profit}{CP}\times 100\\\\=\dfrac{10}{30}\times 100\\\\=33.34\%

So, the profit percentage is 33.34%.

7 0
2 years ago
What expression is equivalent to 5(a + a + a )
Alecsey [184]

Answer:

15a

Step-by-step explanation:

Because   5(a + a + a)  =  5 * (3a) = 15a

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4 0
3 years ago
If you add​ Natalie's age and​ Fred's age, the result is 39. If you add​ Fred's age to 4 times​ Natalie's age, the result is 78.
Darina [25.2K]

Step-by-step explanation:

We can write this word problem as two variables. Let us assume that:

x = Natalie's age

y = Fred's age

The first part of the word problem is that "If you add​ Natalie's age and​ Fred's age, the result is 39." Therefore:

Natalie's age + Fred's age = 39

x + y = 39

This will be our first equation. The second equation can be derived from the statement that "If you add​ Fred's age to 4 times​ Natalie's age, the result is 78." Therefore:

(4 times Natalie's age) + Fred's age = 78

4x + y = 78

We can now form a system of equations and solve for both x and y:

\left \{ {{x + y = 39} \atop {4x + y = 78}} \right.

The simplest way to solve would be using the Substitution method, as seen here:

x + y = 39

y = 39 - x

4x + y = 78

4x + (39 - x) = 78

3x + 39 = 78

3x = 39

x = 13

x + y = 39

13 + y = 39

y = 26

Remember that x = Natalie's age and y = Fred's age. Therefore, Natalie's age is 13 years old and Fred's age is 26 years old.

8 0
2 years ago
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