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tester [92]
3 years ago
9

What value of p makes the equation true? ​

Mathematics
2 answers:
Trava [24]3 years ago
7 0

Answer:

The value of p is -20

Step-by-step explanation:

From the question in the figure above;

\frac{3}{5}   p   +   \frac{1}{5}(40 - p)   =    0

we will have to make p subject of the formula

To do that, lets re-arrange the equation

\frac{3p}{5}  +  \frac{40 - p}{5}    =   0

This equation can be rearrange to become;

\frac{3p + 40 - p}{5}   =   0

Now, multiply both-side of the equation by 5. This will help us get rid of the 5 on the left hand side of the equation.

The equation becomes;

3p  +    40  - p  =   0

3p  -  p +  40  = 0

2p  + 40  = 0

subtract both-side of the equation by 40

2p  +  40 -40  =  0 -40

2p   =   -40

Divide both-side of the equation by 2

\frac{2p}{2}   =     \frac{-40}{2}

On the left hand side of the equation, the 2 in the numerator will cance that of the denominator

p = \frac{-40}{2}

p =     - 20

Therefore p =-20 makes the equation true  

AfilCa [17]3 years ago
7 0

Answer:

-20

Step-by-step explanation:

3/5 ×-20+1/5(40--20)

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A hot air balloon rises an initial 525
ludmilkaskok [199]

Answer:

380ft

Step-by-step explanation:

Assuming the balloon rises 525ft from sea level (0ft), all we need to do is subtract both numbers to find the new height.

525 - 145 = 380ft

There could be many different scenarios though because if the question provides the height of land off sea level, you would have to take that into account as well.

Best of Luck!

5 0
2 years ago
Calculus application
Ugo [173]

Answer:

49m/s

59.07 m/s

Step-by-step explanation:

Given that :

Distance (s) = 178 m

Acceleration due to gravity (a) = g(downward) = 9.8m/s²

Velocity (V) after 5 seconds ;

The initial velocity (u) = 0

Using the relation :

v = u + at

Where ; t = Time = 5 seconds ; a = 9.8m/s²

v = 0 + 9.8(5)

v = 0 + 49

V = 49 m/s

Hence, velocity after 5 seconds = 49m/s

b) How fast is the ball traveling when it hits the ground?

V² = u² + 2as

Where s = height = 178m

V² = 0 + 2(9.8)(178)

V² = 0 + 3488.8

V² = 3488.8

V = √3488.8

V = 59.07 m/s

8 0
3 years ago
At the state fair, admission at the gate is $9. In addition, the cost of each ride is $3. Suppose that Deshaun will go on x ride
pshichka [43]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

Step-by-step explanation:

Given :

At the state fair, admission at the gate is $9.

In addition, the cost of each ride is $3.

Suppose that Sam will go on x rides.

Then, cost of x rides ( in dollars) = Cost per ride x Number of rides

=3x

Total cost ( in dollars) : Admission fee + cost of x rides

= 9+3x

Sam wants the total number of dollars he spends on admission and rides to be at most t ( less than or equal to t )

9\text{ + 3x }\leq\text{ t}

CONCLUSION:

The final answer is:

Using the values and variables given, write an inequality describing this.​

9\text{ + 3x }\leq\text{ t}

4 0
1 year ago
The Tran family and the Green family each used their sprinklers last summer. The water output rate for the Tran family's sprinkl
ser-zykov [4K]

Answer:

Tran family's sprinkler was used for 20 hours

Green's  family's sprinkler was used for 30 hours

Step-by-step explanation:

Let the hours for which Tran family's sprinkler used is x hours

water output rate for the Tran family's sprinkler = 35L per hour

water output from  Tran family's sprinkler in x hours = 35*x L = 35x

Let the hours for which Green family's sprinkler used is y hours

water output rate for the Green family's sprinkler = 40L per hour

water output from  Green family's sprinkler in x hours = 40*y L = 40y

Given

The families used their sprinklers for a combined total of 50 hours

thus

x + y = 50 -------------------equation 1

y = 50-x

total water output of 1900L

35x+40y = 1900  -------------------equation 1

using  y = 50-x in equation 2, we have

35x + 40(50-x) = 1900

35x + 2000 - 40x = 1900

=> -5x = 1900 - 2000 = -100

=> x = -100/-5 = 20

y = 50-20 = 30

Thus,

Tran family's sprinkler was used for 20 hours

Green's  family's sprinkler was used for 30 hours

4 0
3 years ago
Please answer this question for brainliest!
Ivanshal [37]

Answer

i belive that the answer is 0.2 because 0.2 is 1/5 of a whole


6 0
3 years ago
Read 2 more answers
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