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Nimfa-mama [501]
2 years ago
8

light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take f

or all of them to flash
Mathematics
1 answer:
Svet_ta [14]2 years ago
8 0

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

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The fifth graders are planning a pizza party. Each fifth grader will eat two slices of pizza with a favorite topping. One-half o
icang [17]
32 students choose a favorite topping for their slices.

Let x be the total number of students.

1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.

We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x

We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x


Combining like terms:
7/8x+4=x

Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x

Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
4 0
3 years ago
Which of the following is true about the system 4/3x−2/5y=2 and 3x−2y=−1?
lilavasa [31]

Equation 1 is \frac{4}{3}x -\frac{2}{5}y =2 ,

Equation 2 is [/tex] 3x-2y = -1 [/tex]

for first equation LCD= 3 *5 = 15 , So we multiply whole equation by 15

\frac{4}{3} *15x -\frac{2}{5}*15 y =2*15

20x - 6y = 30

Now multiply second equation by -3 , to make the coefficient of y equal and opposite , so that we can apply the elimination method

-9x+6y = 3

Add both the equations

20x -9x -6y +6y = 30+3

11x= 33

Divide both sides by 11

x=3

Plug in any one of the equation we get

3(3) -2y = -1

9 - 2y = -1

subtract 9 from both sides

-2y = -10

divide both sides by -2

y=5

So the solution is x= 3 , y= 5

Which means

a. The system is consistent and independent. TRUE

7 0
4 years ago
Complete the square. Fill in the number that makes the polynomial a perfect-square
NeX [460]

Answer:

h² - 10h + <u>25</u>

Step-by-step explanation:

h² - 10h + _ → (h - 5)² = h² - 10h + 25

3 0
3 years ago
Ing One Step Equations - Barb knows that she needs 8.5 hours of sleep every night to feel rested and sharp. If Barb has been get
Lisa [10]

Answer:

x=3102.5/8.5 is your answer

Step-by-step explanation:

6 0
3 years ago
Need help with this one.
ella [17]

Answer:

The answer should be 55

Step-by-step explanation:

All triangles must = 180

70+55+55 = 180

6 0
3 years ago
Read 2 more answers
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