What is the next number in the pattern

8.72, 8.52, 8.32 …

The scenario could be modeled as a linear equation to produce the mathematical model written as : y = 10x + 7

Number of cards from previous card = 7

Number of cards per cardstock purchased = 10

Let :

Number of cardstocks purchased = x

Total Number cards made = y

The total number of cards made, y can be expressed thus :

(Number of cards per cardstock purchased × number of cardstocks purchased) + number of previous cards

This means :

y = 10x + 7

Therefore, the required equation is y = 10x + 7

The population starts at 2000, so a=2000.

We also know that the population in 3 hours is 1000, so we can setup the equation:

     2000 b^3 = 1000

This gets us:

    b^3 = 1/2

And taking the cube root of both sides gives us:

    b ≈ 0.7937005259841

Rounding that to 4 places, we have:

    f(t) = 2000 (0.7937)^t

Answer: 49 : 32

Step-by-step explanation:

12 1/4 = 49/4

12 1/4 : 8 = 49/4 : 8

12 1/4 : 8 = 49/4 : 8/1

12 1/4 : 8 = 49/4 : 32/4

12 1/4 : 8 = 49 : 32

12 1/4 : 8 = 49 : 32

Step-by-step explanation:

The domain is set of x-values:

The range is set of y-values:

Answer:

Step-by-step explanation: its a

Answer:

-15 = -5x

5x = 15

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

there is a 50 50 chance that somebody is male or female

Answer:

Is ka answers D ha.........

Answer:

The answer is D.

Step-by-step explanation:

(8 ,33) = ([tex]x_{1} , y_{1} )[/tex]

m = 3

To find the equation, use the formula:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

Put the values in the equation

y - 33 = 3(x - 8)

y - 33 = 3x - 24

Now to get only the y, put the [tex]y_{1}[/tex]

y - 33 = 3x - 24

    33           33

------------------------

   y    =  3x + 9

Answer:

The equation of the line is: x = 0

Answer:

D

Step-by-step explanation:

Answer:

Upendrakishore Roy Chowdhury; 12 May 1863 – 20 December 1915) was a Bengali writer and painter. He was the first person who introduced the colour printing in bangal. He started the first color children's magazine Sandesh in 1913.

Step-by-step explanation:

history ig

Answer:

B

Step-by-step explanation:

since the value is -2 1/4, the point must be less than -2, so it cant be C or D. Since A is less than -3, it cant be A so the point is B

Answer:

Step-by-step explanation:

d = 277/tan12 = 1,303.1825... m = 1.3 km

The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.

The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).

Let's denote the distance from the town to the base of the cliff as "d."

The tangent of the angle of depression is given by:

tan(12°) = opposite / adjacent

tan(12°) = 277 / d

Now, solve for "d":

d = 277 / tan(12°)

Using a calculator:

d ≈ 1337.25 feet

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#SPJ3

Answer:

Step-by-step explanation:

Answer:

  B) there is a single point of solution

Step-by-step explanation:

If the boundary lines are parallel, the solution space will be outside the lines (no solution), inside the lines (infinite solutions), or on one side of the lines (infinite solutions.) It is not possible for two half-planes with parallel edges to overlap at a single point.

Refer to the attachment

True, False, False, True, False, False

Answer:

The answer would be B. You solve it by substituting the x and y values in the expression, and seeing if it makes a true statement.

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

50%of5+20%=22.5

50/100×5=2.5

2.5+20=22.5%

Answer:

3 gallons

Step-by-step explanation:

10=100 percent

10/5 =2

5-2=3

3 gallons

Answer:

1.  D

2. B

3. The six in the first one is in the tenths place, the second is in the thousandths. But the answer is A.

4. 5, 0.9, 0.85, 0.438, 0.42, 0.341, 0.253, 0.13, 0.1, 0.087, 0.042, 0.03, 0.023, 0.01, 0.006, 0.002, 0 Sorry, I did greatest to least on accident.

5. 0.9, 0.853, 0.82, 0.51, 0.238, 0.2, 0.187, 0.11, 0.106, 0.103, 0.072, 0.053, 0.05, 0.03 greatest to least.

Uhm, sorry if I ordered some wrong on accident.

Answer:

Step-by-step explanation:

Let,

The req. number be = x

So,

Two - thirds of the number

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

Then, it is reduced by 13

[tex] = \frac{2}{3} x - 13[/tex]

After that,

The req. result we get is = 7

Therefore,

By the problem,

[tex] = > \frac{2}{3} x - 13 = 7[/tex]

[tex] = > \frac{2}{3} x = 7 + 13[/tex]

[tex] = > \frac{2}{3}x = 20[/tex]

[tex] = > \frac{2}{3} x \times \frac{3}{2} = 20 \times \frac{3}{2} [/tex]

=> x = 30

Hence,

The req. number is 30.

Given that :

To Find :

Solution :

Let's assume the number as x

According to the question :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 = 7 }[/tex]

Adding 13 to both sides we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x - 13 + 13 = 7 + 13 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x = 20 }[/tex]

Now, Multiplying both sides by [tex] \dfrac{3}{2} [/tex] we get :

[tex]\qquad \sf \: { \dashrightarrow \dfrac{2}{3}x \times \dfrac{3}{2} = 20 \times \dfrac{3}{2} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow \dfrac{ \cancel2}{ \cancel3}x \times \dfrac{{ \cancel3}}{ \cancel{2}} = \cancel{20} \times \dfrac{3}{ \cancel{2}} }[/tex]

[tex]\qquad \sf \: { \dashrightarrow x = 10 \times {3} }[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 30 }[/tex]

Therefore, The number is 30.

Answer:

  145. YZ = 48 in

  147. XY = 6 ft

  148: XY = 3 in

Step-by-step explanation:

In each case, multiply the given proportion by a value that makes it match the given information about the segments.

XY is 24in, lines XY:YZ = 1:2. What is the length of line YZ?

Multiply the proportion by 24 in:

  XY : YZ = (24 in)(1) : (24 in)(2) = 24 in : 48 in

  YZ = 48 in . . . (C)

__

YZ is 9ft, lines XY:YZ= 2:3. What is the length of line XY?

Multiply the proportion by 3 ft:

  XY : YZ = (3 ft)(2) : (3 ft)(3) = 6 ft : 9 ft

  XY = 6 ft . . . (B)

__

YZ is 1ft, line XY:YZ = 1:4. What is the length of line XY?

Multiply the proportion by 3 in:

  XY : YZ = (3 in)(1) : (3 in)(4) = 3 in : 12 in = 3 in : 1 ft

  XY = 3 in . . . (A)

Answer:

i think its 200

Answer:

200people

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

60 divided by 4/5 is 75

Answer:

F

Step-by-step explanation:

If you look at that triangle and do trigonometry with sin, you would have to do opposite/hypotenuse. This would be (square root of 3)/2

Answer:

Step-by-step explanation:

h = 44sin13 = 9.89784... = 9.90 ft

Answer: 15.6

Step-by-step explanation:

In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.

Answer:

v=1

Step-by-step explanation:

-2(2v + 11) + 1 =-5(9v – 4) ​

Distribute the -2 and -5.

-4v-22+1=-45v+20

Calculate the sum.

-4v-21=-45v+20

Move the variable to the left-hand side and change the sign.

-4v-21+45v=20

Move the constant to the right-hand side and change the sign.

-4v+45v=20+21

Collect like terms.

41v=20+21

Add the numbers.

41v=41

Divide both sides by 41

v=1

Hope this helps :)

Answer:

v = -1/49

Step-by-step explanation:

distribute

-4v - 22 + 1 = 5(9v-4)

add the numbers -21 + 1 = -21

distribute the other parenthesis

-4v  - 21 = 45v -20

add 21 to both sides to get v by itself

-4v - 21 + 21 = 45v + 20 + 21

-4v = 45v + 1

substract 45 v on both side now

-4v - 45v = 45v + 1 - 45v

simplify

-49v = 1

divide -49 on both side

v = -1 / 49

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]

The resulting mixture is 19% milk.

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The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

Let the two variables be x and y

If the product of the numbers is 300, hence

xy = 300

x = 300/y ........ 1

If the sum of the first and four times the second is a minimum, then;

P(x, y) = x + 4y .................. 2

Substitute equation 1 into equation 2:

P(x, y) = x + 4y

P(y) = 300/y + 4y

If this function is at mimimum, hence dP/dy = 0

dP/dy = -300/y² + 4 = 0

-300/y² + 4 = 0

-300 + 4y² = 0

4y² = 300

y² = 300/4

y²=   75

y = 7.66

Since xy = 300

x = 300/7.66

x = 39.16

Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16

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