Jafar will get $12400 more if his salary is increased by 31%. Jafar's salary is 20% less of his colleague Ali's salary. What is Ali's salary?

Answer:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

Step-by-step explanation:

According to the given situation, as we know that the triangle which is ADE and triangle which is ABC are the same

. (as in the diagram)

So, the ratio of their corresponding sides are the same or an equal so that it can be reached at the truth which is here below:

[tex]\frac{AD}{AB} = \frac{AE}{AC} = \frac{DE}{BC}[/tex]

With the help of a diagram, we can better understand which has been attached.

The ratios  AD : DB  and  AE : EC  are equal.

Answer:

ANSWER A

Step-by-step explanation:

Answer:

it has a horizontal asymptote at y=O

Step-by-step explanation:

answer is A.

because A linear parent function is the equation y = x or f(x) = x.

If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.

Answer:

V = 960 cm ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base

B = 1/2 bh since the base is the triangle

B = 1/2 *12*8 =48

V = 48 * 20

V = 960 cm ^3

Answer:

960 cm^3

Step-by-step explanation:

volume of prism = (area of base) * (height of prism)

This is a triangular prism, so the base is a triangle.

area of base of prism = area of triangle = bh/2

The base of the triangle is 12 cm. The height of the triangle is 8 cm.

The height of the prism is 20 cm.

volume = (12 cm)(8 cm)/2 * 20 cm

volume = 960 cm^3

Answer:

A) 17,000 = 1.7x10^4

B) 26,000,000 = 2.6x10^7

C) 740,000 = 7.4x10^5

Step-by-step explanation:

Answer:

1.7x10

Step-by-step explanation:

Answer:  x=3

Step-by-step explanation:

5x+9 =24   subtract 9 from both sides

    -9    -9

5x = 15    Divide both sides by 5

x = 3

Answer:

[tex]5x = 24 - 9 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

Answer:

Step-by-step explanation:

even #s between (or including) 1 and 12:

2, 4, 6, 8, 10, 12

there are 6

6/12 for the first one

5/11 for the second one (one even # less)

4/10 for the third one

To find the probability of picking three even numbers from 1 to 12 in a row three times:

multiply the probabilities together:

(6/12)*(5/11)*(4/10)=(24/120)*(5/11)=(12/60)*(5/11)=(1/5)*(5/11)=5/55=1/11

Answer: [-12, 3, 2, -2]

Step-by-step explanation:

Multiply each corresponding integer by each other.

4 * -3 = -12

3 * 1 = 3

-1 * -2 = 2

-1 * 2 = -2

Answer:

(-1,0)

Step-by-step explanation:

Here, our interest lies in finding the coordinates that splits the points (-5,-8) and (2,6) in the ratio 4:3. Let the point that does the splitting be called point P

The section formula is used here and the point we are having would be;

P = (mx2 + nx1)/(m+n) , (my2 + ny1)/(m + n)

From the question;

m = 4 and n = 3

x1 = -5, y1 = -8

x2 = 2 , y2 = 6

Plugging these values in the equation above, we have;

P = [4(2) + 3(-15)](3+4), [4(6) + 3(-8)]/(3+4)

P = (8-15)/7, (24-24)/7

= -7/7, 0/7

= (-1, 0)

The coordinates of point P is (-1,0)

Answer:

Step-by-step explanation:

From the table above f(-2) = 3

Hope this helps you

Answer:

Step-by-step explanation:

We khow that Mary invested 12000£ and the account pays 1.5 percent interest per year.

So we should khow what is the value of this 1.5 percent interst .

12000£⇒100 percent

x ⇒ 1.5 percent

so the value after 2 years is : 12000+360=12360

Answer:

The correct locations are;

Part to part ratio is 3 cats to 5 dogs

Whole to part ratio is 10 pets to 2 rabbits

Part to whole ratio is 5 dogs to 10 pets

Step-by-step explanation:

The given information are;

The number of cats Jim has = 3

The number of dogs Jim has = 5

The number of rabbit Jim has = 2

The total number of pets Jim has = 3 + 5 + 2 = 10 pets

Therefore;

The fraction of the pets that are cats = 3/10

The fraction of the pets that are dogs = 5/10

The fraction of the pets that are rabbits= 2/10

Therefore we have;

Part to part ratio = 3/10 cats to 5/10 dogs = 3 cats to 5 dogs

Whole to part ratio → 10 pets to 2 rabbits

Part to whole ratio → 5 dogs to 10 pets.

Answer:

False

Step-by-step explanation:

A definition produces out of nothing a new mathematical entity. But a theorem utilizes some relation between previously defined mathematical entities.

Usually a theorem must be verified by a proof of its correctness on the basis of generally accepted statements or on the basis of previously established statements which might include other theorems.

Answer:

Step-by-step explanation:

   45=5*3^2

    75=5^2*3

1.  LCM=product of the common and uncommon prime factors  at the biggest   power

LCM=3^2*5^2=9*25=225

2. HCF= product of the common prime factors at the lowest power

HCF=3*5=15

3. 10*x-3

4. 6^2-7^2=36-49=-13

5. I. K=4-1=3 drinks

    II. Total=4+3=7 drinks

6. You will draw exact as inthe drawing with dimensions l=8 cm,h=3cm, w=4 cm

Answer:

Step-by-step explanation:

LCM of two numbers is the smallest number that is evenly divisible by the two numbers

1) 45 = 3 * 3 * 5 = 3² * 5

75 =  3 * 5 * 5  = 3 * 5²

LCM = 3² * 5² = 9 *25 = 225

LCM = 225

2) HCF of two numbers is the greatest number which divides each of them exactly.

HCF of 45 and 75  = 3*5 = 15

HCF = 15

3) 10x  - 3

4) m² - n² = 6² - 7²

               = 36 - 49

               = -13

m² - n² = -13

When two numbers are in different sign, subtract and the result will have the sign of the bigger number.

5)a)  Kate prepared  (4-1) 3 drinks

  b) Total volume of drinks = 4 + 3 = 7

Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

The answer is given below

Step-by-step explanation:

Let us assume the truck accelerates for 4 seconds.

Given that:

Initial velocity (u) = 0 (starts from rest),

acceleration (a) = 4 m/s²

time (t) = 4 s

Final velocity (v) = ?,

Distance (s) = ?

To calculate the final velocity, we use the formula:

v = u + at

Substituting values gives:

v = 0 + 4(4)

v = 0 + 16

v = 16 m/s

The final velocity is 16 m/s²

To calculate the distance traveled by the truck, we use the equation:

[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]

The distance traveled by the truck during the time interval is 32 meters

Answer:

mBC = 96°

mB = 55°

mC = 77°

mAB = 154°

Step-by-step explanation:

The angle mB inscribes the arc mAC, so we have:

[tex]mB = mAC / 2[/tex]

[tex]mB = 110 / 2 = 55\°[/tex]

The sum of internal angles of a triangle is 180°, so in the triangle ABC we have:

[tex]mA + mB + mC = 180[/tex]

[tex]48 + 55 + mC = 180[/tex]

[tex]mC = 180 - 48 - 55[/tex]

[tex]mC = 77\°[/tex]

Using again the property of inscribed angles, we have:

[tex]mAB = 2*mC = 154\°[/tex]

[tex]mBC = 2*mA = 96\°[/tex]

Answer:

its c

Step-by-step explanation:

Answer:

1:15 pm

Step-by-step explanation:

It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so

7:15 - 6 = 1:15

Answer:65.6

Step-by-step explanation:

So $0.25 per yard

16.4/$0.25=65.6

Answer:

Originally there was 324 nuts in the bag.

Phillip took 108, Joy took 54, Brent took 81 and Preston took 10.

Step-by-step explanation:

Let's call the total amount of nuts N, and the number of nuts each child took by the initial of their name (Phillip will be P1 and Preston will be P2).

So we can write the following equations:

P1 = N/3

After removing N/3, the remaining nuts is (N - N/3):

J = (N - N/3)/4 = (2N/3)/4 = N/6

After removing N/6 from (N - N/3), the remaining nuts is (N - N/3 - N/6):

B = (N - N/3 - N/6)/2 = (N/2)/2 = N/4

P2 = 10

In the final there were 71 nuts remaining, so we have that:

N - N/3 - N/6 - N/4 - 10 = 71

N - N/3 - N/6 - N/4 = 81

N/4 = 81

N = 324 nuts

The amount of nuts took by each child is:

P1 = N/3 = 108 nuts

J = N/6 = 54 nuts

B = N/4 = 81 nuts

P2 = 10 nuts

Answer:

Step-by-step explanation:

Given that:

The demand for number 6 screws is fairly constant and  brother's hardware store sells 500 of these screws each day.

So;

The demand for number 6 screws =  500 screws /day

It takes approximately 8 working days for an order of number 6 screws to arrive once the order has been placed.

Delivery time-frame  = 8 days

Lila believes that she can avoid stockouts completely if she only orders the number 6 screws at the correct time.

i.e Lila would want to have 8 days (delivery time-frame) × 500 screws /day

= 4000 screws

This implies that these 4000 screws will only last for 6 days.

Thus Lila ROP ( reorder point) will be to reorder for another set of  screw the day she receives the current shipment, this implies that after 8 days she would have sold the present 4000 screws and she will be expecting a new re-stock.

In this exercise, we have to use our knowledge of finance to calculate the number that should be replenished in the stock, in this way:

This implies that these 4000 screws will only last for 6 days.

The exercise statement states that:

With this information we can also say that:

Then, performing the calculation, we find:

[tex] 8 * 500 = 4000 screws[/tex]

See more about finances at brainly.com/question/10024737

Answer:

60°

Step-by-step explanation:

30° + 90° = 120°

180° - 120° = 60°

180 is the sum of interior angels

Answer:

Step-by-step explanation:

Hello,

[tex]x^6-6x^3y+9y^2\\\\=(x^3)^2-2\cdot x^3\cdot 3y+(3y)^2\\\\=(x^3-3y)^2[/tex]

So the correct answer is

[tex]x^3-3y[/tex]

Do not hesitate if you have any question

Answer:

56,735 people

Step-by-step explanation:

We can set up an equation to model this:

The equation for exponential decay is y = C(1 - r)^t, where C is the original amount, r is rate of change, and t is time.

We can plug in the corresponding values and solve:

y = 62500(1 - 0.016)^6

y = 62500(0.984)^6

y = (62500)(0.9077)

y = 56,734.94, which we can round to 56,735 people

Answer:

in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Step-by-step explanation:

Let x and y represent the number of quarts of Creamy Vanilla and Continental Mocha that should be made in order to use up all the eggs and cream respectively.

For Creamy Vanilla go 2 eggs and 3 cups of cream

For Continental Mocha go 1 egg and 3 cups of cream.

Total number of eggs = 500 eggs

Total number of cream cups = 900 cups.

For the eggs;

2 eggs × x + 1 egg × y = 500

2x + y = 500 .......1

For the cream cups;

3 cups × x + 3 cups × y = 900

3x + 3y = 900

Dividing through by 3

x + y = 300 .......2

Solving the simultaneous equation;

Subtracting equation 2 from 1

(2x + y) - (x+y) = 500-300

2x -x = 200

x = 200

Substituting x = 200 into equation 2;

200 + y = 300

y = 300 - 200

y = 100

Therefore, in order to use up all the eggs and cream, the number of quarts of each flavor that should be made is;

Creamy vanilla x = 200 quarts

Continental mocha y = 100 quarts

Answer:

24p = 72

Step-by-step explanation:

Let the number be p.

The product of p and 24 equals to 72.

p × 24 = 72

24p = 72

Answer:

24p = 72

Step-by-step explanation:

A

Answer:

Step-by-step explanation:

The deductible amount will be controlled constantly in which the asset is arranged.

Answer:

The rate of the water current is 4mph

Step-by-step explanation:

Let c= the rate of the current in mph

18+c= the rate of the boat going downstream in mph

18-c= the rate of the boat going upstream in mph

t = time in hrs for both upstream and downstream trips

Going downstream:

33=(18+c)*t (1)

Going upstream

21=(18-c)*t (2)

From (1)

33=(18+c)*t

t=33/1(8+c)

Substitute t=33/(18+c) into (2)

21=(18-c)*t

21=(18-c)*33/(18+c)

Cross product

21(18+c)=33(18-c)

378+21c=594-33c

21c+33c=594-378

54c=216

Divide both sides by 54

54c/54=216/54

c=4

Therefore,

The rate of the water current is 4mph