Gavyn, David & Alex share some money in the ratio 5 : 3 : 4.
In total, Gavyn and Alex receive £99.
How much does David get?

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

Answer:

x = 5

Step-by-step explanation:

Steps to solve:

(x - 5)(x - 5) = 0

~Set both factors to equal 0

x - 5 = 0

x - 5 = 0

~Solve for x

x - 5 = 0

x - 5 + 5 = 0 + 5

x = 5

We only solved for one factor since they are both the same and the x value for both are also the same.

Best of Luck!

Answer:

Option (3).

Step-by-step explanation:

This question is incomplete; find the compete question in the attachment.

Equation (1):  q = d + n

"Total number of quarters is equal to the sum of number of dimes and nickels."

Equation (2): 0.25q + 0.10d + 0.05n = 6.05

"Total value of the coins in the jar is $36"

Equation (3) : q + d + n = 36

"There are a total of 36 coins in the jar."

By comparing the options given, we find the third option which matches with equation (3)

Therefore, option (3) is the correct answer.

Answer:

15 years old

Step-by-step explanation:

The equation would be

8x + 2x + x = 53

3x = 45

x = 15

Answer:

y-1 = -(x-2)

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (5-1)/(-2 -2)

    = 4/-4

   = -1

We are using point slope form using the point (2,1)

y-y1 = m(x-x-1)

y-1 = -1(x-2)

y-1 = -(x-2)

Answer:

4/7

Step-by-step explanation:

Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7

The answer would be 1.03! hopes this helps!

Answer:

1.03

Step-by-step explanation:

i did the assignment on edg 2020/2021

Answer:

d: 1/2

Step-by-step explanation:

Answer:D. 1/2 c

Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

Answer:

[tex]805\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]805\frac{8}{10}[/tex]

The bottom of the conyon to ses level plus sea level to the bird nest.

First you add 82+723

And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]

[tex]\frac{5}{10} +\frac{3}{10}[/tex]

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

The mathematical operation which took place between the first step and the second step from the derivation of the quadratic formula is: B. completing the square.

A quadratic equation can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph. In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Mathematically, the quadratic formula can be derived as follows:

x² + b/ax +c/a = 0

x² + b/ax  = -c/a

x² + b/ax + (b/2a)² = - c/a + (b/2a)² [completing the square]

(x + b/2a)² = b²/4a² - c/a

x + b/2a = √(b²/4a² - c/a)

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

In conclusion, the step which is shown in the image above for the derivation of the quadratic formula was derived by using completing the square method.

Read more on quadratic equation here: https://brainly.com/question/4053652

#SPJ1

Answer:   THE CORRECT ANSWER IS    Factoring a perfect square trinomial

Step-by-step explanation:

answer:  

82.0476 i think

Step-by-step explanation:

Answer:

82.04 dollars

i hope this was helpful

Step-by-step explanation:

Answer:

All of the above

Step-by-step explanation:

dy/dt = y/3 (18 − y)

0 = y/3 (18 − y)

y = 0 or 18

d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)

d²y/dt² = dy/dt (-y/3 + 6 − y/3)

d²y/dt² = dy/dt (6 − 2y/3)

d²y/dt² = y/3 (18 − y) (6 − 2y/3)

0 = y/3 (18 − y) (6 − 2y/3)

y = 0, 9, 18

y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.

y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.

Answer:

Step-by-step explanation

The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.

Answer:

None of the options represent the right answer. (Real answer: [tex]y = 24\cdot x^{2}[/tex])

Step-by-step explanation:

The parabola shown above is vertical and least distance between focus and directrix is equal to [tex]2\cdot p[/tex]. Then, the value of p is determined with the help of the Pythagorean Theorem:

[tex]2\cdot p = \sqrt{(0-0)^{2}+[6-(-6)]^{2}}[/tex]

[tex]2\cdot p = 12[/tex]

[tex]p = 6[/tex]

The general equation of a parabola centered at (h,k) is:

[tex]y-k = 4\cdot p \cdot (x-h)^{2}[/tex]

It is evident that parabola is centered at origin. Hence, the equation of the parabola in standard form is:

[tex]y = 24\cdot x^{2}[/tex]

None of the options represent the right answer.

Answer:

  y equals 1 divided by 24 x squared  

Step-by-step explanation:

Just took the test

Answer:

x stands for the number of cars washed with the supplies.

Step-by-step explanation:

Given;

Profit equation; y = 4x - 45

Price of supplies = $45

Amount received per car wahed = $4

From the equation given, we can notice that the higher the value of x the higher the profit generated.

Since, for washing a car brings $4, 2 car is $8 and so on... So the value of x is the number of cars washed with the supplies.

x stands for the number of cars washed with the supplies.

For example, if we wash 15 cars. x = 15

y = 4(15) - 45 = 60 - 45

y = $15

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

Answer:

30%

Step-by-step explanation:

Answer:

33.333333333333%

Step-by-step explanation:

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

hi buddy i can help you with this

Answer:

it will gemetry and get 15

ANSWER: D.180

EXPLANATION:  A straight angle is 180 degrees

A straight angle changes the direction to point the opposite way. Sometimes people say "You did a complete 180 on that!" ... meaning you completely changed your mind, idea or direction.

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

Answer:

The answer is C.

(6 times 6 times 6 times 6 times) times (6 times 6 times 6)

(6 * 6 * 6 * 6) * (6 * 6 * 6)

(6 × 6 × 6 × 6) × (6 × 6 ×6)

(6^4) × (6^3)

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

Answer:

[tex] \frac{1}{2} {cm}^{3} [/tex]

Step-by-step explanation:

[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = [tex]\frac{x}{0.85}[/tex]

y = 220 - [tex]\frac{x}{0.85}[/tex]

Now convert this equation into a function.

[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.