MATHEMATICS HIGH SCHOOL

40% of a number equals the difference between the number and 10

Answers

Answer 1

Answer: x-0.4x=x-10

2x=9.6

x=4.8

Answer 2

Answer:

4.8 is x

Step-by-step explanation:

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Factor completely 5a2 + b.Prime

a(5a + b)

b(5a2)

ab(5a + 1)

Answers

$\sf {5a^2+b~is~\boxed{\bf{prime}}}$

It is prime because it has no common factors in 5a^2 and b.

The answer is A.

$\left[\begin{array}{ccc}Prime\end{array}\right]$ is the correct answer.

What is the length of side s of the square shown below?

Answers

Answer:

3√2

Step-by-step explanation:

Pythagoras says s²+s²=6²

2s² = 36

s = √18 = √9·2 = √3²·2 = 3√2

Answer:

Step-by-step explanation:

The diagonal splits the square into 2 right triangles with hypotenuse 6

Using Pythagoras' identity in one of the right triangles.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

s² + s² = 6²

2s² = 36 ( divide both sides by 2 )

s² = 18 ( take the square root of both sides )

s = $√(18)$ = $√(9(2))$ = $√(9)$ × $√(2)$ = 3 $√(2)$ → C

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?

Answers

Answer: $80

Step-by-step explanation:

Given: The simple interest generated after 5 years = $20

The rate of interest =5%

In decimal, the rate of interest (r)= 0.05

Let P be the principal amount, which Tahmar invested.

The given formula to find simple interest is

$I=Prt\n\n\Rightarrow P=(I)/(rt)\n\n\text{On substituting the given values, we have}\n\n\Rightarrow P=(20)/(0.05*5)\n\n\Rightarrow P=80$

Hence, the principal amount which he invested = $80

The answer is $80 for this question.

Suppose you have two different linear equations. How would you tell if the lines represented are parallel, perpendicular, or neither?

Answers

parallel never cross
perpendicular is a 90 degree angle
its neither if its not 90 degree or never crossing

Which counterexample shows that the conjecture "all mammals live on land" is false?

Answers

Answer:

B. A whale is a mammal that does not live on land.

Step-by-step explanation:

Self explanitory

To celebrate the first day of school, Reagan brought in a tray of caramel brownies and walnut brownies. The tray had a total of 20 brownies, of which 10% were caramel. How many caramel brownies did Reagan bring?

Answers

Answer:

2 were caramel

Step-by-step explanation:

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