MATHEMATICS HIGH SCHOOL

What is the positive solution of x2 – 36 = 5x?

Answers

Answer 1

Answer:

Answer:

The positive solution is x=9

Step-by-step explanation:

Given the equation

$x^2-36=5x$

we have to find the positive solution of above equation.

$Equation: x^2-5x-36=0$

By splitting middle-term method

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

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

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

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

$x+4=0, x-9=0$

The solution is x=-4 and x=9

Hence, the positive solution is x=9

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The diagonals of parallelogram ABCD intersect at point E. Which of the following statements is not necessarily true?a. BD bisect AC
b. AB=CD
c. BAD=BCD
d. AC=BD

Answers

Answer:

(D)

Step-by-step explanation:

It is given that The diagonals of parallelogram ABCD intersect at point E.

then, using the properties of parallelogram, we get

(A) BD bisects AC

This is correct statement because the diagonals bisect each other in parallelogram.

(B) AB=CD

This is correct statement because the opposite sides of the parallelogram are equal.

This is correct because opposite angles of the parallelogram are equal.

(D) AC=BD

This is not necessarily true, because if the diagonals of parallelogram are equal, then it is a rectangle.

Hence, option D is correct option that is not necessarily true.

I hope this helps you

A rectangular playground has an area of 3,392 square meters. if the width of the rectangle is 32 meters.find the lenth

Answers

The length of the rectangle is 106 meters.

Further explanation

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, because equiangular means that all of its angles are equal. A rectangle can also be defined as a parallelogram containing a right angle.

Whereas the square metre (or square meter) is the SI derived unit of area thar has a symbol sq.m

Length is describes how long something is, while width is describing how wide an object is. It also defined that length pertains to the longest side of the rectangle while width is the shorter side

A rectangular playground has an area of 3,392 square meters. If the width of the rectangle is 32 meters, find the length.

By dividing area of rectangular playground by the width of the rectangle we get:

$Length * Width = Area\nLength = (Area)/(Width)$

$Length = (3,392 square meters)/(32 meters) = 106 meter$

Hope it helps!

Learn more

Learn more about the width brainly.com/question/9312670
Learn more about the rectangle brainly.com/question/628263
Learn more about A rectangular playground brainly.com/question/11834640

Answer details

Grade: 5

Subject: math

Chapter: the length

Keywords: the rectangle, A rectangular playground, the width, square meters, the length

The length of the rectangle would be 106. What you would do is divide the area into the width because to find the area of a rectangle you would do length times width.
Hope this helps! (:

Percy paid $24.10 for a basketball. The price of the basketball was $22.99. What was the sales tax rate?

Answers

First, determine the difference between the amount Percy paid and the price of the basketball. That is, $24.10 - $22.99 = $1.11. Divide this value by the price of the basketball and multiply the quotient by 100% to get the tax rate.
($1.11 / $22.99) x 100% = 4.8%
Thus, the sales tax is approximately equal to 4.8%.

Answer:

4.80%

Step-by-step explanation:

A charges $9.95 per month for the first 10 hours of use and $1.69 per hour for all those over 10. Provider B charges a flat fee of $19.95.

Answers

Given:
A = charges 9.95 per month for the first 10 hours and 1.69 per hour for all those over 10 hours.
B = charges a flat fee of 19.95

A = 9.95 + 1.69(x-10) where x is the total number of hours used.
B = 19.95

A = B
9.95 + 1.69(x - 10) = 19.95
1.69x - 16.9 = 19.95 - 9.95
1.69x = 10 + 16.9
1.69x = 26.9
x = 26.9/1.69
x = 15.92 hours

If usage does not go over 10 hours, it is cheaper to use A.
If usage is between 15-16 hours, A or B is acceptable. They cost almost the same.
If usage is beyond 16 hours, it is cheaper to use B.

If the volume for 3-D polyhedra A is 300 cm3 and the volume for 3-D polyhedral B is 900 cm3. How many times bigger is the volume of pyramid B than pyramid A? Select one:
a. 3%
b. 30%
c. 300%
d. 3000%

Answers

Answer:

c. 300%

Step-by-step explanation:

In order to solve this problem you just have to divide the bigger polyhedral by the smaller polyhedral:

$(900 cm^(3) )/(300cm^(3))$

As this is equal to 3, you know that the bigger polyhedral is 3 times bigger than the smaller polyhedral so now you just make a rule of three, if an object that is 100% bigger than other is 1 time bigger, what would be the percentage of an object that is 3 times bigger?

$(1)/(100)=(3)/(x)$

Once you clear the X the equation would look like this:

$x=(3*100)/(1)$

$x=300$

Hello Marie,

V(B)/V(A)=900/300=3=300/100=300%

What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?

Answers

Answer:

Conditional frequencies offer more specific information to analyse certain data set.

Step-by-step explanation:

A conditional frequency is a type of relative frequency which involves a condition to be defined.

For example, the conditional frequency of having a house given that the person is female. Notice that this example shows the condition "being female", so the conditional frequency would be all females who own a house.

On the other hand, the relative frequency is just a ratio between the frequency of the data and the total number of data. It's doesn't includes a condition to be defined, that's the difference.

Therefore, conditional frequencies offer more specific information to analyse certain data set.

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Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for the entire purchase. He has $75. If he buys 4 tickets, how many bags of popcorn can he buy? if x=number of tickets and y=number of popcorn which of the following inequalities would you use to answer the problem?A x+y=75B 10x+5y+3≤75C 10x+5y≤75D 10x+5y+3≥75