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Crazy boy [7]
3 years ago
15

Raju bought seven notebooks of two hundred pages and five of hundred pages, for 107 rupees. Joseph bought five notebooks of two

hundred ages and seven of hundred pages, for 97 rupees. What is the price of each kind of notebook?
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
8 0

Answer:

Large books = 11

Small books = 6

Step-by-step explanation:

7x + 5y = 107

7x = 107 - 5y

x = 107/7 - 5y/7

5x + 7y = 97

5 (107/7 - 5y/7) + 7y = 97

535/7 - 25y/7 + 7y = 97

535/7 + 24y/7 = 97

535 + 24y = 679

24y = 679 - 535

y = 144/24 = 6: So x =

7x + 5(6) = 107

7x = 107-30

x = 77-7 = 11

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A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),<br> find the measure of A
Black_prince [1.1K]

Answer:

\angle A=17\textdegree

Step-by-step explanation:

We know that A and B are complementary angles. So, they must add up to 90°. As an equation:

\angle A+\angle B=90

Since we know their equations, substitute:

(x+8)+(8x+1)=90

Solve for x. Combine like terms on the left:

9x+9=90

Subtract 9 from both sides:

9x=81

Divide both sides by 9:

x=9

So, the value of x is 9.

We want to find A. So, let's use the equation for A:

\angle A=x+8

Substitute 9 for x:

\angle A=9+8

Add:

\angle A=17\textdegree

So, the measure of A is 17°.

4 0
3 years ago
30% of Number A is the same as 40% of Number B.
Goryan [66]

30% of number A means

\dfrac{30A}{100}=\dfrac{3A}{10}

similarly, 40% of number B means

\dfrac{40B}{100}=\dfrac{2B}{5}

These must be equal, so we have

\dfrac{3A}{10}=\dfrac{2B}{5}

Multiply both sides by 10 to get

3A=4B \iff A=\dfrac{4B}{3}

So, you can choose any number for A, and then you multiply it by 4/3 to get B. There are infinitely many solutions to this equation.

5 0
3 years ago
When two probabilities
Ivenika [448]

Answer: True  

Step-by-step explanation: Because if we have two independent events and want to know the probability of their happening at the same time, we multiply the two probabilities together.  "Two events happening at the same time" is a compound event.  We more often see this as "P(xy)," the probability of x AND y.

7 0
3 years ago
The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb
KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0
3 years ago
What Number is X in this equation?<br><br> 6 ÷ 2( 1 + 2 ) = X
LUCKY_DIMON [66]

Answer:

x=1.5

Step-by-step explanation:

7 0
3 years ago
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