£6000 is to be shared among David, Daniel and Dennis, Daniel is to get one and a half times as much as David, while Denis is to get three and a half times as much as David. Determine (i) the ratio in which the money is to be shared. (ii) the amount of money each will get.?​

Answer:

1)  -2x-11

2) 1.3x-3

3) 5k-20

4) 21.84

Step-by-step explanation:

-2x-7+(-4)          -2x-7-4           -2x-11

5.2x+9-12-3.9x          1.3x+9-12      1.3x-3

5(k-4)    distribute        5k-20

5.46÷0.25=21.84

Answer:

y=x+11；

Step-by-step explanation:

Let's say the direct equation is y=kx+b;

Plug in the two points to get the system：

[tex]\left \{ {{16=5k+b} \atop {18=7k+b}} \right.[/tex]

So k is equal to 1, b is equal to 11，

so y=x+11；

Answer:

The one guy is right k equals 43.6

Hope This Helps!!!

The value of k using Vertical angles is 43.6 degree.

Vertical angles are a pair of non-adjacent angles that are formed by the intersection of two lines. When two lines intersect, they create four angles at the intersection point.

Vertical angles are the angles that are opposite to each other and share the same vertex but are not adjacent. They are Congruent.

As, k and 43.6 are Vertical angles.

So, k = 43.6

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Using the information given, it is found that the 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

3156 out of 40467 adults experienced depression, hence:

[tex]n = 40467, \pi = \frac{3156}{40467} = 0.078[/tex]

95% confidence level

So [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 - 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.075[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.078 + 1.96\sqrt{\frac{0.078(0.922)}{40467}} = 0.081[/tex]

The 95% confidence interval for the proportion of all U.S. adults who experienced depression in that year is (0.075, 0.081).

A similar problem is given at https://brainly.com/question/16807970

Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

The product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

The product of two polynomials is simply the multiplication of both polynomials together.

Given:

(x − 3)(2x² − 5x + 1)

Multiply using the distributive property

x(2x² − 5x + 1) -3(2x² − 5x + 1)

2x³ - 5x² + x - 6x² + 15x - 3

Combine like terms

2x³  - 11x² + 16x - 3

Therefore, the product of the given polynomials is: C. 2x³  - 11x² + 16x - 3.

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Answer:

400

Step-by-step explanation:

Answer:

the first, second and fifth ones

Step-by-step explanation:

Answer: 1 hour and 50 min

Step-by-step explanation:

Answer:

Step-by-step explanation:

Can someone tell me what happens in 2 hours

Answer:

288/5

Step-by-step explanation:

simplified: (2³x 9) x 4/5 = 288/5

Answer:

red line

the red line has a slope of -1 by looking at the coordinates,

it also intersects the given point (1,-1)

Answer:

B - A = 4x - 10

Step-by-step explanation:

B - A

= 9x - 6 - (5x + 4) ← multiply terms in parenthesis by - 1

= 9x - 6 - 5x - 4 ← collect like terms

= 4x - 10

Answer:

4x-10

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

According to the Pythagorean theorem, if you call the 2 legs of a right triangle a and b respectively and call the length of the hypotenuse c, you have:

[tex]a^{2} + b^{2} = c^{2}[/tex]

=> [tex]36^{2} + 10^{2} =[/tex] [tex]hypotenuse ^{2}[/tex]

=> 1396 = [tex]hypotenuse ^{2}[/tex]

=> hypotenuse = [tex]\sqrt{1396}[/tex] (inch)

=> Answer D

Answer:

10 days

Step-by-step explanation:

15 men -----  12 days

18 men -----    x ?

They are inversely proportional

more men less days

15 / 18  * 12 = 10 days

Answer:

Step-by-step explanation:

You just need tp translate what is written in the two- column proof into paragraph.

Given that the two angles have same measure of 125°, by transitive property we proof that the angles are congruent.

We don't perform any of addition,  division or multiplication operations. We just compare the angle measures and come to conclusion.

This is best described in the paragraph C

Answer:

8

Step-by-step explanation:

280/35=8

Answer:

8 hours.

Step-by-step explanation:

280/35 = 8

Answer:

D. First, add 32 to both sides, then divide by -16 and flip the sign

Step-by-step explanation:

Taking that the inequality is -16k-32>-48

First you have to get rid of any addition or subtraction, in this case you have to get rid of -32 by adding 32 to each side:

-16k-32+32 > -48 +32

Then you need to divide by -16 and flip the sign because you are dividing by a negative number and if you don't flip the sign the inequality will be false.

[tex]\frac{-16k}{-16} <\frac{-16}{-16}[/tex]

Answer: {a}_{10} = 128

Step-by-step explanation:

Answer:

y = -5x - 25

Step-by-step explanation:

Substitute into form of y - y1 = m(x - x1): (Take the point (-7,10) for x1 & y1, m would be the slope)

y - 10 = -5(x -(-7))

y - 10 = -5(x + 7)

y - 10 = -5x - 35

y = -5x - 25

Answer:

y= -5x-25

Step-by-step explanation:

Equation of line with points given =

y = mx + b

m = -5 , x = -7 , y = 10 while the intercept, b is not given, so we need to find that...

Therefore, we substitute the value for the given equation

10 = -5*-7 + b

10 = 35 + b

b = 10 - 35

b = -25

Therefore we substitute the value for m and b to the equation of line

y = -5x - 25

Answer:

y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

Since it will be parallel that means m=[tex]\frac{3}{4}[/tex]

then you can use point slope form (y-y1)=m(x-x1): y+5=[tex]\frac{3}{4}[/tex](x+4)

then you can distribute the [tex]\frac{3}{4}[/tex]: y+5=[tex]\frac{3}{4}[/tex]x+3

then subtract 5: y=[tex]\frac{3}{4}[/tex]x-2

Answer:

The price was dropped around 15%

Step-by-step explanation:

You will pay $3.15 for a item with original price of $3.70 when discounted 15%. In this example, if you buy an item at $3.70 with 15% discount, you will pay 3.70 - 0.555 = 3.15 dollars.

Answer:

The tax is 7% ^^

Step-by-step explanation:

Answer:

Sale tax is 7% or $8.82

Step-by-step explanation:

126 + 8.82 = 134.82 sales tax 7%

Answer:

sin 2θ = -24/25

Step-by-step explanation:

see the below formula of sin x  in terms of tan x

by substituting => -4/3   /  ± √(16/9 + 1)

=> -4/3   /  ± √(25/9)

=> -4/3   / ±  5/3

=> ± -4/5

=> ± 4/5

as theta is in second quadrant is in 2nd quadrant sin value is positive

so sin θ = 4/5 and cos θ = -3/5

now sin 2θ = 2 sinθcosθ

= 2 * 4/5 * -3/5

= -24/25

Answer:15

Step-by-step explanation:

x=180-(110+55)=15

Answer:

1.024km/h

Step-by-step explanation:

speed=distance/time

speed=420/6 hours 15 minutes

speed=420/410

speed=1.024km/h

Answer:

an apple would remain

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The two numbers are 3842 and 2642.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two numbers:

The difference between the numbers is 1200.

The total of the two numbers = 6484.

Let the numbers be M and N.

Now,

M - N = 1200 ____(1)

M + N = 6484 _____(2)

From (1) and (2) we get,

M = 1200 + N ____(3)

Putting (3) in (2) we get,

1200 + N + N = 6484

1200+ 2N = 6484

2N = 6484 - 1200

2N = 5284

N = 5284/2

N = 2642 putting in (3) we get,

M = 1200 + N

M = 1200 + 2642

M = 3842

Thus the two numbers are 3842 and 2642.

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