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Wittaler [7]
3 years ago
13

Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio stati

on plays the song every 24 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?
3:18 PM
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

The will play the song at the same time by 4:12 pm

Step-by-step explanation:

here, we want to know the time both radio station will play the song after 3pm.

Mathematically to get this, we shall need to find the lcm of both 18 and 24. LCM stands for the lowest common multiple of both.

The lowest common multiple of both is 72.

This means that after 72 minutes, they will both play the song

So the time then would be;

72 + 3 = 4 : 12 pm

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Find the average rate of change of the function from x=1 to x=2.<br><br><br><br> f(x)=−14/x^2
Irina-Kira [14]

Answer:

The average rate of change of the function from x=1 to x=2 will be: 10.5                

Step-by-step explanation:

Given the function

f\left(x\right)=-\frac{14}{x^2}

at x₁ = 1,

f(x₁) = f(1) =  -14/(1)² = -14/1 = -14

at x₂ = 2,

f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                                        = [-3.5 - (-14)] / [2 - 1]

                                        = [-3.5 + 14] / [1]

                                        = 10.5 / 1

                                        = 10.5

Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5                      

6 0
3 years ago
The angle measures of a triangle are in a ratio of 4 : 6 : 10. what type of triangle is this?
melomori [17]
4x+6x+10x=180

20x=180

x=9

So, the angles are:

4(9)=36
6(9)=54
10(9)=90

It's a right triangle.
6 0
3 years ago
Ethan was busying marshmallows for a family bonfire. Each bag of marshmallows was 250 g. If Ethan wanted to buy 3 kg of marshmal
sp2606 [1]
It's 12 bags (3000/250)
6 0
3 years ago
Read 2 more answers
Solve and check please help ty
raketka [301]

so wt's the question of this pic?

5 0
3 years ago
A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri
Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

so

LA=4[\frac{1}{2}bl]

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height  

To find out the slant height we need to apply the Pythagorean Theorem

so

l^2=(b/2)^2+h^2

we have

b=35.42\ m

h=21.64\ m

substitute

l^2=(35.42/2)^2+21.64^2

l^2=781.9337

l=27.96\ m

step 2

Find the lateral area of the pyramid

LA=4[\frac{1}{2}bl]

we have

l=27.96\ m

b=35.42\ m

substitute

LA=4[\frac{1}{2}(35.42)(27.96)]

LA=1,980.6864\ m^2

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

so

using proportion

\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L

Round up

793 liters of washing fluid is needed

6 0
3 years ago
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