MATHEMATICS HIGH SCHOOL

The 162-room BeeGee Hotel, located just outside Philadelphia, Pennsylvania, requires room attendants to clean 18 rooms per day. If the hotel is forecasting a full house next Monday, how many guest room attendants will be needed to cover the day's cleaning tasks?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Given,

Total number of rooms = 162

One attendant is to clean 18 rooms per day.

Therefore if a full house is expected next Monday,

Number of attendant required to cover the day's cleaning task

= 162/18

= 9

Therefore, 9 guest room attendants will be needed to cover the day's cleaning tasks,

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Using the graph of f(x) = log10x below, approximate the value of y in the equation 10y = 6

Answers

The given function is

f(x)= log 10 x

Taking base as 10

$y=\log_(10)10 +\log_(10)x$ →→Using the property of, log a b= log a + log b

→y = 1 + $\log_(10)x$ as, $\log_(10)10=1$

we have to approximate the value of y in the equation

→10 y = 6

→y= $(6)/(10)$

$(6)/(10)$ = 1 + $\log_(10)x$

$\log_(10)x$ = $(-4)/(10)$

x= $(10)^{(-4)/(10)}$ = $(10)^(-0.4)$ =0.398

Solving graphically,

we get , x= 0.398 for , y= $(6)/(10)$ =.6

f(x) = ㏒(10x)
f(x) = ㏒₁₀(10x)

10y = 6
10 10
y = 0.6

f(x) = ㏒₁₀(10x)
0.6 = ㏒₁₀(10x)
$10^(0.6) = 10x$
$10^{(3)/(5)} = 10x$
$\sqrt[5]{10^(3)} = 10x$
$\sqrt[5]{1000} = 10x$
$\frac{\sqrt[5]{1000}}{10} = x$
$(3.98)/(10) \approx x$
$0.398 \approx x$

Write an exponential function of the form y=ab^x whose graph passes through the given points.17. (1,4),(2,12)

Answers

$We\ substitude\ points\ into \ formula:\n y= ab^(x)\n\{ {{4=ab^1} \atop {12=ab^2}} \right. |Substitude\ a= (4)/(b) \ from\ first \ equation\n12= (4)/(b)*b^2\n 12=4b|:4\n b=3\na= (4)/(3) \n y=4^x$

25 per cent of 600 is equal to 15 per cent of what number?

Answers

$25\% * 600 = 15\%*x$

$x=600* (0,25)/(0,15)$

$x=600* (5)/(3)$

$x=1000$

1000 :) 15% of 1000 is 150, which is 25% of 600

Triangle ABC is an isosceles right triangle. What is the measure of a base angle?

Answers

Answer:

The measure of base angle is 45°

Step-by-step explanation:

Given that triangle ABC is an isosceles right triangle.

we have to find the measure of base angles.

As given triangle is right angled triangle therefore one angle which is not a base angle is of 90°

Also the triangle ABC is isosceles therefore two sides of triangle are equal and angles opposite to the equal sides are equal.

Let these equal angles which are base angles is x°

By angle sum property of triangle,

the sum of all angles of triangle equals to 180°

∠A+∠B+∠C=180°

$x^(\circ)+90^(\circ)+x^(\circ)=180^(\circ)$

$2x^(\circ)+90^(\circ)=180^(\circ)$

$2x^(\circ)=90^(\circ)$

$x^(\circ)=(90)/(2)=45^(\circ)$

Hence, the measure of base angle is 45°

If Triangle ABC is an isosceles right angle, base angle would be equal to 45 degree. It is because, in an isosceles right triangle, two angle remains equal (45) and one is larger.(90)

In short, Your Answer would be 45

Hope his helps!

You are travelling through a town at 50km/h and a ball rolls onto the road. how far do you travel (in metres) in this time.

Answers

Answer:

50000 m

Step-by-step explanation:

50km/h

It means that 1 hour can travelling 50 km

1km=1000m

50km=50000m

So 1hour can travel 50000m

A model is made of a car. The car is 3 meters long and the model is 3 centimeters long. What is the ratio of the length of the car to the length of the model? A. 3 : 3 B. 1 : 100 C. 1 : 3 D. 100 : 1

Answers

Answer:

Step-by-step explanation:

a meter is 100 centimeters so the ratio of the real car to the model is 300 centimeters to 3 centimeters, or 100:1 so D

.---------. _

'-O------O--'

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