A 6th grade class did a weekend fitness challenge.

Igoryamba

Answer:

Step-by-step explanation:

The sum of the ages of a Mother and her son is 78 , three years ago the mother is five times as old as the son, what is their present ages?

To solve this , let the age of the mother be x and the age of the son be y , from the first statement :

x + y = 78

Three years ago , the mother will be x- 3 and the son will be y - 3 , from the second statement:

x - 3 = 5 ( y-3)

x- 3 = 5y - 15

x - 5y = -12

The resulting equations are

x + y = 78

x - 5y = -12

This is called a simultaneous linear equation , that means it is a linear equation.

The side of a square is xcm , if the difference between the area and the perimeter is 12 , find the legth of its side.

Interpretation:

The formula for the area of a square is $l^{2}$ and the perimeter is 4l , from the question , we have

$x^{2}$ - 4x = 12

This is not a linear equation , it is simply a quadratic equation , so the situation is non linear

5 0

4 years ago

Hello? i have a question.

Vedmedyk [2.9K]

Answer:

whats your question

Step-by-step explanation:

4 0

3 years ago

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser

Zepler [3.9K]

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

$H_0 :P \geq 0.49\\\\H_1:P$

Significance level: $\alpha = 0.10$

It is decided that the null hypothesis at the defined meaning level is rejected.

5 0

3 years ago

The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results co

Travka [436]

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

4 0

3 years ago

A car travels 17 miles on one gallon of gas

zmey [24]

When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,

Step-by-step explanation:

Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.

Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;

x = 17y, this represents the relation between x and y.

To find the gallons in the tank, y = $\frac{x}{17}$ ,

For x = 170, y = $\frac{170}{17}$ = 10,

Similarly equating the values we get that when x = 187, y = 11,

when x = 204, y = 12,

when x = 221, y = 13,

when x = 238, y = 14,

when x = 255, y = 15,

when x = 272, y = 16,

when x = 289, y = 17,

when x = 306, y = 18,

when x = 323, y = 19,

when x = 340, y = 20,

8 0

3 years ago