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3 years ago

Solve the inequality 42 < -6d

Mathematics

1 answer:

sergiy2304 [10]3 years ago

8 0

-6d > 42
d < 42 / (-6)
d < -7

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A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother's

svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be $x+5$ .

The sum of the squares of their ages is 97. We can represent this information in an equation as:

$x^2+(x+5)^2=97$

Let us solve for x.

$x^2+x^2+10x+25=97$

$2x^2+10x+25-97=0$

$2x^2+10x-72=0$

Divide both sides by 2:

$x^2+5x-36=0$

$x^2+9x-4x-36=0$

$x(x+9)-4(x+9)=0$

$(x+9)(x-4)=0$

$(x+9)=0 ; (x-4)=0$

$x=-9 ; x=4$

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be $x+5\Rightarrow4+5=9$

Therefore, the age of older child would be 9 years.

We have been given that the square of the mother's age can be found by writing the squares of the children's ages one after the other as a four-digit number.

Square of 4: $4^2=16$

Square of 9: $9^2=81$ .

Square of mother's age: $1681$

To find mother's age, we need to take positive square root of 1681 as:

$\sqrt{1681}=41$

Therefore, the mother is 41 years old.

4 0

3 years ago

Sandra's cell phone plan gives her unlimited minutes for $15.50 per month. She is charged $0.08 for each text message, t. Which

brilliants [131]

Answer:

c=15.50+0.08t

Step-by-step explanation:

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3 years ago

Solve for x: -7x+2=-4x-7

Zielflug [23.3K]

Answer: x = 3

Step-by-step explanation:

First you need to start by adding positive 4x to both sides since the 4x is a negative. 4x + (-7x) = -3x. Then it is just simply -3x+2 = -7. Since 2 is a positive number subtract both both sides by 2. Then you should get -3x = -9. Then divide both sides by -3 and the answer is x = 3.

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2 years ago

Help please !!!!!!!! ASAP

fgiga [73]

Answer:

Step-by-step explanation:

3 1/2 x 2 = 7

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2 years ago

Which system of equations has no sulotion?

alex41 [277]

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

 Hope it helps ☺️ CLICK on ♥️

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3 years ago