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3 years ago

Katrina received a raise in pay from $14.00 per hour to $15.10 per hour. What is her percent increase in pay per hour?

Mathematics

1 answer:

sweet [91]3 years ago

6 0

Answer:

Step-by-step explanation:

(New - original) / original x 100

($15.10 - $14)/ $14 x 100 = 7.85 %

7.85% to the nearest whole percentage is 8%

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How is 5.35 one-half of the way between 2.2 and 8.5? Can someone please help me to understand?

Aleks04 [339]

Answer:

because it is in the middle of 2.2 and 8.5

so if you split it up 2.2 and 8.5 take 3.15 from 8.5 and give it to 2.2 now u have 5.35 as your answer.

Hope this helped

6 0

3 years ago

Brainliest and points !! ANSWER ASAP !!

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

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β

Dimas [21]

Answer:

From given relation the value of β is 37.5°

Step-by-step explanation:

Given as :

α and β are two acute angles of right triangle

Acute angle have measure less than 90°

Now given as :

$sin(\frac{x}{2} + 2x)$ = $cos(2x +\frac{3x}{2})$

Or, $cos(90° - (\frac{x}{2}+2x))$ = $cos(2x +\frac{3x}{2})$

SO, $(90° - (\frac{x}{2}+2x))$ = $2x+\frac{3x}{2}$

Or, 90° = $2x+\frac{3x}{2}$ + $\frac{x}{2}+2x$

or, 90° = $\frac{4x}{2}$ + 4x

Or, 90° = $\frac{12x}{2}$

So, x = $\frac{90}{6}$ = 15°

∴ $sin(\frac{x}{2} + 2x)$ = $sin(\frac{15}{2} + 30)$

So, $sin(\frac{x}{2} + 2x)$ = sin $\frac{75}{2}$

∴ The value of Ф_1 = $\frac{75}{2}$ = 37.5°

Similarly $cos(2x +\frac{3x}{2})$ = $cos(30 +\frac{45}{2})$

So ,The value of Ф_2 = $\frac{105}{2}$ = 52.5°

∵ β α

So, As 37.5°52.5°

∴ β = 37.5°

Hence From given relation the value of β is 37.5° Answer

7 0

3 years ago

PLZZZZZZZZZ HELP THANK YOUUUUUUUU !!!!!

photoshop1234 [79]

Answer:

It has gone -160 miles.

Step-by-step explanation:

To find the answer we will multiply -40 by 4 hours, and we get -160 miles. Therefore, the car has traveled -160 miles.

7 0

3 years ago

Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.

AVprozaik [17]

Answer:

$\sqrt{37}$ units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.

We know the formula of length of perpendicular from a point $(x_{1}, y_{1} )$ to the straight line ax + by + c = 0 is given by

$\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}$

Therefore, in our case the perpendicular distance is

$\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}$ units. (Answer)

6 0

4 years ago