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nadya68 [22]
2 years ago
11

June had $240 more than Siti. Junr gave 25% of her money to Siti. Siti then gave 20% of her money to June. How much more money d

id June have in the end?
Mathematics
1 answer:
bulgar [2K]2 years ago
4 0

Answer:

$144

Step-by-step explanation:

Let the money which Siti has be x

Therefore, the money June has will be x+240

First condition is that June gave 25% of her money to Siti, So this amount will be deducted from June's money and will be added in Siti's money.

Siti's money = x+ [25%(x+240)]       June's money = x+240-[25%(x+240)]

                   = 1.25x + 60                                       = 0.75x + 180

Second condition is that Siti now gave 20% of her money to June.This amount will be deducted form Siti's money and added in June's money.

Siti's money = 1.25x+60-[20%(1.25x+60)]    

                    = x+48

June's money = 0.75x +180+[20%(1.25x+60)]

                        = x+192

Difference between Sitit and June's money = x+192-x-48

                                                                        = 144

Hence, June has $144 more money than Siti.

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Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.
r-ruslan [8.4K]

Answer:

y=30x+55

Step-by-step explanation:

$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money

3 0
2 years ago
What is the value of x 5,2.5,7.5,10
Norma-Jean [14]
This question is referred to two similar triangles.

One triangle has sides x and x - 2.

The other triangle has the respective sides x + x + 5 and x - 2 + x + 1

Then you can state a proportionality relation between the sides>

[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]

=> [2x + 5] / x = [2x - 1] / [x - 2]

=> (2x + 5)(x - 2) = (2x - 1)x

=> 2x^2 - 4x + 5x - 10 = 2x^2 - x

=> x - 10 = - x

=> 2x = 10

=> x = 10 / 2

=> x = 5

Answer: x = 5
3 0
3 years ago
Read 2 more answers
A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​
gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0
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The ratio of violinists to cellists in the school orchestra must always be 7:3. If the school orchestra has 21 violinists, what
Papessa [141]

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

\text{Combined number of cellists and violinists}=7x+3x

\text{Combined number of cellists and violinists}=10x      ...(i)

Number of violinists in the school orchestra = 21

7x=21

Divide both sides by 7.

x=3

Now, the combined number of cellists and violinists is

\text{Combined number of cellists and violinists}=10(3)    [Using (i)]

\text{Combined number of cellists and violinists}=30

Therefore, the combined number of cellists and violinists is 30.

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2 years ago
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ryzh [129]

The transformed equation is:

(x-3)^2 = 23

Step-by-step explanation:

We have to convert the equation in the form

(x-p)^2 = q

Given equation is:

x^2-6x-8 = 6

Adding 8 on both sides

x^2-6x-8+8 = 6+8\\x^2-6x = 14

In the given equation

a = x

b= ?

So,

2.x.b = 6x\\b =\frac{6x}{2x}\\b = 3\\

So 3^2 will be added on both sides

(x)^2-6x+ (3) = 14+ (3)^2\\(x-3)^2 = 14+9\\(x-3)^2 = 23

Hence,

The transformed equation is:

(x-3)^2 = 23

Keywords: Quadratic equation, transformation

Learn more about quadratic equation at:

  • brainly.com/question/5248692
  • brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
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