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notka56 [123]
3 years ago
7

Community Service You are making a bulletin board to

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0

Answer:

72 ads

Step-by-step explanation:

Let

x -----> the number of ads

we know that

5 sheets of construction paper for a title banner plus the number of ads multiplied by one quarter of sheet must be equal to 23 sheets of construction paper

so

The linear equation that represent this problem is

\frac{1}{4}x+5=23

Solve for x

Multiply by 4 both sides to remove the fraction

x+20=92

Subtract 20 both sides

x=92-20

x=72\ ads

You might be interested in
the number of members in a club dropped from 80 to 52. what is the percent of decrease in the number of members
Illusion [34]
Percent of decrease :
Original - New / Original
so...
80 - 52 / 80 ---->
28/80
.35 multiply by 100 to get percent
35% increase Hope I helped if you have any questions let me know! :)



7 0
3 years ago
A tank with a capacity of 1600 L is full of a mixture of water and chlorine with a concentration of 0.0125 g of chlorine per lit
Veronika [31]

Answer:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

Step-by-step explanation:

1) Identify the problem

This is a differential equation problem

On this case the amount of liquid in the tank at time t is 1600−24t. (When the process begin, t=0 ) The reason of this is because the liquid is entering at 16 litres per second and leaving at 40 litres per second.

2) Define notation

y = amount of chlorine in the tank at time t,

Based on this definition, the concentration of chlorine at time t is y/(1600−24t) g/ L.

Since liquid is leaving the tank at 40L/s, the rate at which chlorine is leaving at time t is 40y/(1600−24t) (g/s).

For this we can find the differential equation

dy/dt = - (40 y)/ (1600 -24 t)

The equation above is a separable Differential equation. For this case the initial condition is y(0)=(1600L )(0.0125 gr/L) = 20 gr

3) Solve the differential equation

We can rewrite the differential equation like this:

dy/40y = -  (dt)/ (1600-24t)

And integrating on both sides we have:

(1/40) ln |y| = (1/24) ln (|1600-24t|) + C

Multiplying both sides by 40

ln |y| = (40/24) ln (|1600 -24t|) + C

And simplifying

ln |y| = (5/3) ln (|1600 -24t|) + C

Then exponentiating both sides:

e^ [ln |y|]= e^ [(5/3) ln (|1600-24t|) + C]

with e^c = C , we have this:

y(t) = C (1600-24t)^ (5/3)

4) Use the initial condition to find C

Since y(0) = 20 gr

20 = C (1600 -24x0)^ (5/3)

Solving for C we got

C = 20 / [1600^(5/3)] =  20 [1600^(-5/3)]

Finally the amount of chlorine in the tank as a function of time, would be given by this formula:

y(t) = 20 [1600^(-5/3)] x (1600-24t)^ (5/3)

7 0
3 years ago
This is in integers.<br><br> Q: evaluate (+5)-(+9)-(-7)
creativ13 [48]

can be simplified as 5-9+7=-4+7=3

3 0
3 years ago
Read 2 more answers
Sidh is making fruit salad. His recipe calls for 3/4 pound of watermelon. He wants
olya-2409 [2.1K]
Sidh will need 0.375 pound of watermelon or 3/8 in fraction form to make the fruit salad. When you divide the original 3/4 into two you get this.
8 0
3 years ago
Old McDonald has some chickens and some cows. He counted 56 heads and 116 legs. How many chickens and how many cows does old McD
Elza [17]

Answer: old McDonald has 54 chickens and 2 cows.

Step-by-step explanation:

Let x represent the number of chickens that old McDonald have.

Let y represent the number of cows that old McDonald have.

He counted 56 heads. A chicken and a cow has one head each. It means that

x + y = 56

He counted 116 legs. A chicken has 2 legs and a cow has 4 legs. It means that

2x + 4y = 116 - - - - - - - - -1

Substituting x = 56 - y into equation 1, it becomes

2(56 - y) + 4y = 116

112 - 2y + 4y = 116

- 2y + 4y = 116 - 112

2y = 4

y = 4/2 = 2

x = 56 - y = 56 - 2

x = 54

6 0
3 years ago
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