Brian and Colin win some money and share it in the ratio 5:1. Brian gets £50. How much did Colin get?

Answers

Answer 1

Answer:

£10

Step-by-step explanation:

Divide the amount Brian gets by 5 to find the value of one part of the ratio.

£50 ÷ 5 = £10 ← value of 1 part of the ratio

Colin gets 1 part of the ratio, that is £10

Answer 2
Add the the ratio 5:1

It will be 5+1=6

Remember that 6 is the total ratio equivalent to £50 and we only wanted to obtain Collins gain so you say

Collins is represented with the ratio 1 while Brian 5

If 6=£50 what about 1
1×£50/6 which you will give you £8.3

Related Questions

Aliya draws a scale model of her mother's garden. The actual garden's measurements are 35 feet by 50 feet.

On the drawing, the length of the garden is 5 inches. What is the width of the garden on the scale drawing?

3.5 in.
2.0 in.
2.5 in.
3.0 in.

Answers

Answer:

3.5 in. if the 35 feet side is the width

Step-by-step explanation:

Please help me out I know that supplimentary angles have to equal 180 but I have no idea how to solve for x since they didnt give us any angles

Answers

Answer:

x = 6

Step-by-step explanation:

13x + 2 = 12x + 8

Because of:

1) Corresponding angles

2) Vertically opposite angles

13x + 2 = 12x + 8

13x - 12x = 8 - 2

x = 6

Answer:

x = 6

Step-by-step explanation:

13x + 2 = 12x + 8

13x - 12x = 8 - 2

x = 6

thank you!!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

square root of 36 is 6 ^w^

u = 6

16)
What is 8.3 x 10-3 in standard form?
0.00083
0.0083
0.083
8.300

Answers

Answer:

0.0083

Step-by-step explanation:

Move the decimal place to the left three times

Answer:

0.0083

Step-by-step explanation:

Using the drawing Below, find all the possible situations it could be describing. Mark all situations that apply to the inequality.

A. Any temperature that is at 0°C or below will allow water to freeze.

B. Marcus saved one dollar every day from his lunch money.

C.Hank had no money for his trip so he had to keep borrowing money to make it home.
D.Carter had 5 toy cars. He gave Jamison 4 of them.

Answers

Answer:

it would be a and c

Step-by-step explanation: Because if you had a zero on a number line you would subtract 5 from the left and that would give you negative 5

Which of the following is true of the data set represented by the box plot?

box plot with point at 16, min at 33, Q1 at 40, median at 52, Q3 at 55, max at 78, and point at 86

Answers

Answer:

Removing the outliers would not affect the median.

Step-by-step explanation:

the sum of two numbers increased by 5

Answers

Answer:

If the sum is x, x+5

Step-by-step explanation:

The sum of the two numbers x+y = a, increased by 5, a+5.

The sum of two numbers increased by 5 to be determined.

What is the sum?

The sum is defined as the addition of two or more values.

Here,
Let the two numbers be x and y.
their sum is x+y = a(let)
Now the sum is increased by 5.
=a+5


Thus, the sum of the two numbers x+y = a, increased by 5, a+5.


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You have a cylindrical pond that has a diameter of 30 feet and has a depth of 5 feet. If you need to fill the pond one-quarter of the way up with water and water costs $3.25 per cubic foot, how much will you need to spend to fill the pond?

Answers

Final answer:

First, calculate the volume of water needed to fill the pond one-quarter of the way up, then multiply that by the cost per cubic foot to find the total cost, which is approximately $2297.29.

Explanation:

The subject of this question is Mathematics, more specifically, it involves the use of geometry and algebra. The question is asking about the cost of filling a cylindrical pond one-quarter of the way up with water, given the dimensions of the pond and the price of water per cubic foot.

To answer this question, we first need to determine the volume of water needed. Since the pond is cylindrical, we use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. The diameter is given as 30 feet, so the radius is 15 feet (half the diameter), and we're filling to a depth of 1.25 feet (one-quarter of the 5-foot depth). This gives us a volume of approximately 706.86 cubic feet.

We then multiply this volume by the price of water. At $3.25 per cubic foot, that's a total cost of about $2297.29. So, you would need to spend approximately $2297.29 to fill the pond one-quarter of the way up with water.

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please please help me​

Answers

14 and 15 are not functions while 13 and 16 are functions

Answer:

13 and 16 are functions.

If the x does not repeat,it is a function

Help :( look at picture

Answers

Answer: A≈201.06

We know the diamter is 8 and we're using Pi.

A=πr²

=π·8²

8 x 8 = 64

Now we multiply this by using Pi, it says Pi is 3.14. Therefore we multiply that by 64.

64 x 3.14 = 200.96

I hope this helped, have a good day!

Find the radius of a sphere with a volume of 26,244π cubic inches.

Answers

Radius of a sphere with a volume of 26,244π inches³ is 27 inches.

Volume of a sphere, V = (4/3)πr³.

Given the volume of 26,244π inches³,

(4/3)πr³ = 26,244π

The radius of sphere (r) =

r³ = (26,244π)/(4/3)π

r³ = 26,244 × (3/4)

r³ = 19,683

r = ∛19,683

r = 27 inches

The radius of the sphere is 27 inches.

The formula for the volume (V) of a sphere with radius (r) is given by:

[tex]\[ V = \frac{4}{3} \pi r^3 \]Given that the volume (\( V \)) of the sphere is \( 26,244\pi \) cubic inches, we can set up the equation:\[ 26,244\pi = \frac{4}{3} \pi r^3 \]To solve for \( r \), we first divide both sides by \( \frac{4}{3} \pi \):\[ r^3 = \frac{26,244\pi \times \frac{3}{4}}{\pi} \]\[ r^3 = 19,683 \][/tex]

Taking the cube root of both sides:

[tex]\[ r = \sqrt[3]{19,683} \]\[ r \approx 27 \][/tex]

Therefore, the radius of the sphere is 27 inches.

What is the surface area of the cone? Express your answer in terms of π.

Answers

Answer:

surface area of a cone = 132.935πft

Step-by-step explanation:

to find the surface area of a cone

given that

radius = 5ft

height of cone = 21ft

recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)

so,

surface area of a cone = πr( r + √ h² + r²)

surface area of a cone = π x 5( 5 + √ 21² + 5²)

surface area of a cone = 5π ( 5 + √ 441 + 25)

surface area of a cone = 5π( 5 + 21.587)

surface area of a cone = 5π (26.587)

surface area of a cone = 132.935πft

Which expression is equal to 10/√50

Please show work thx:)

Answers

so the right answer is of option B....

Answer:

√2

Step-by-step explanation:

According to the question

10/√50

So it can also be written as

10/√25×2

10/√25×√2

10/5√2

Divide both by 5

2/√2

Rationalize

2/√2 ×√2/√2

2√2/2

Divide both by 2

√2

Therefore the answer is√2

Find the equation of the axis of symmetry of the following parabola algebraically:
y=-5x²+20x

Answers

Answer:

x= 2

Step-by-step explanation:

hello :

y= -5x²+20x      a= -5    b= 20

the axis symmetry  is the line when an equation is : x = -b/2a

x= -(20)/2(-5)

x= 2

The equation of axis of symmetry of the given parabola is x =2

What is a parabola?

A parabola is a plane curve drawn so that any point on it is the same distance from the focus and the directrix.

Given is an equation of parabola, y= -5x²+20x      

a= -5    b= 20

the axis of symmetry  is the line when an equation is : x = -b/2a

x= -(20)/2(-5)

x= 2

Hence, The equation of axis of symmetry of the given parabola is x =2

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The perimeter of a square is 80 cm. What is the area?

Answers

Answer:

A = 400 cm^2

Step-by-step explanation:

The perimeter of a square is given by

P = 4s where s is the side length

80 = 4s

Divide each side by 4

80/4 = 4s/4

20 =s

We want to find the area of the square

A = s^2

A = 20^2

A = 400 cm^2

Please help !! I would really appreciate it

Answers

Answer:

Runner 1

Step-by-step explanation:

Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10

Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)

Runner 3's speed is slope = (36-18)/(4-2) = 9

The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5

36 is what percent of 46

Answers

Answer:

78.26%

Step-by-step explanation:

Please answer correctly, show all steps you did to solve this problem, and i will mark brainliest to best answer

Answers

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Complete the missing value in the solution to the equation -4x-y=24. (__,8)

Answers

We are given y.

-4x - 8 = 24

~Add 8 to both sides

-4x - 8 + 8 = 24 + 8

~Simplify

-4x = 32

~Divide -4 to both sides

-4x/-4 = 32/-4

~Simplify

x = -8

Best of Luck!

Answer:

(56,8)

Step-by-step explanation:

-4x-y=24

-y=4(8)+24

-y=32+24

-y=56

y=56

The graph below shows the hours students spent studying and their science test scores.

Hours Spent Studying vs. Science Test Scores
A graph has hours spent studying on the x-axis and test score on the y-axis. A line has a regression equation of y = 3.1 x + 40.5.

A student gets a score of 70 on the test. Based on the trend line in the scatter plot, how much time did the student spend studying?
3.1 hours
4.5 hours
9.5 hours
40.5 hours

Answers

Answer:

4.5

Step-by-step explanation:

Just took the Test

The required time the student spends on studying is 9.5 hours. Option C is correct.

What is a scatter plot?

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

here,

Given the regression line,
y = 3.1 x + 40.5.

Put y = 70
70 = 3.1x + 40.5
70 - 40.5 = 3.1x
x = 29.5/3.1
x = 9.51

Thus, the required time the student spends on studying is 9.5 hours. Option C is correct.

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Approximately how much fabric of each color will be needed to make a single parachute canopy?

88.5 ft
88.5 ft²
265.5 ft
265.5 ft²

Answers

Answer:b)88.5 ft squared

Step-by-step explanation:

Answer:

B) 88.5 ft²

Step-by-step explanation:

What are the binomial factors of the polynomial x^3-x^2-49x+49
a. (x-1),(x-7),(x+7)
b. (x+1),(x-7),(x+7)
c. (x-1),(x-7)
d. (x+1),(x+7)

Answers

Answer:A

Step-by-step explanation:

Just took the ed test

Find x if these are similar:
7 cm, 3 cm, 12 cm, and x cm

Answers

Answer:

i want to say 28

Step-by-step explanation:

this is because 3 times 4 is 12 so i multiplied 7 by 4


2x - 2y = 6
3x + 2y = 9
Solve the system of equations.
A) x = 0, y = 3
B) x = 3, y = 0
C) x = 1, y = -2
D) x = -2, y = 1

Answers

Answer:

B) x = 3, y = 0

Step-by-step explanation:

I will use the subtraction method, at least i think it is the subtraction method lol:

2x - 2y = 6

3x + 2y = 9

1: Combine

5x=15

x=3

2: Substitute

2(3)-2y=6

6-2y=6

-2y=0

y=0

3: Check by pluggin answers in

2(3)-2(0)=6

6-0=6

6=6 true

3(3)+2(0)=9

9+0=9

9=9 true

DISCLAIMER: the answers might not be right, so you should check just in case and i hope this made sense, you can ask questions too.

also... i would be great if i got a brainliest because i need one more to level up but you don't have to bc i bet someone has a better explanation hehe

B) x=3, y=0
Because you gotta do something I forgot what it was called

vanessa invested $2500 into an account that will increase in value 3.5% each year. write an exponential function, then find the value of the investment after 20 years

Answers

Answer: A = 2500 (1.035)^n

A= $ 4,974.47

Step-by-step explanation:

A=P(1+r)^n

A= Amount

P= Principal

R= rate

N= # of years

A= 2500(1.035)^n

N=20

2500(1.035)^20

A= 4,974.47

In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second?

Answers

Final answer:

To find the air pressure of a thunderstorm, the given wind velocity is substituted into the function and the equation is solved for the air pressure in millibars.

Explanation:

To find the air pressure of a thunderstorm where the wind velocity is 49.3 meters per second, we need to substitute this given wind velocity into the given function and solve for p.

First, we equate the function v(p) = 5.7 √998 - p with the given wind velocity, so we get 49.3 = 5.7 √998 - pSecond, we isolate the square root term on one side by dividing both sides by 5.7 which gives √998 - p = 49.3/5.7Then we square both sides to get rid of the square root: (998 - p) = (49.3/5.7)² After simplifying the equation, we can solve for p, which is the air pressure in millibars.

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Final answer:

To calculate the air pressure during a thunderstorm with a wind speed of 49.3 m/s, use the mathematical function provided. Solve for 'p' by setting the function equal to given wind speed, isolating 'p', and calculating thereafter.

Explanation:

The student's question pertains to finding an unknown in the function v(p) = 5.7 √998 - p, given that the wind velocity is 49.3 m/s. The expression given is for wind velocity in a storm, based on changing air pressure. To answer this, we need to solve the equation for 'p'.

1. First, we set the equation equal to 49.3: 49.3 = 5.7 √998 - p

2. Then we isolate the square root term by dividing by 5.7: (49.3/5.7) = √998 - p

3. After that, we square both sides to eliminate the square root: (49.3/5.7)^2 = 998 - p

4. We then isolate 'p' by subtracting the result from 998: p = 998 - (49.3/5.7)^2

Doing the calculations will give the approximate value of 'p', which is the air pressure in millibars for a thunderstorm with a wind velocity of 49.3 m/s.

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Nigel tried to solve an equation step by step.
1/2(2h-4)=20


2h−4=10 step1
2h=14 step2
h=7 step 3
What step did he FAIL on?​





Answers

Answer:

the answer should be h=22 so i would say step 1

Step-by-step explanation:

The mistake was in Step 1.

What is an Equation?

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The equation is

(1/2) (2h-4) = 20

2h-4 = 40

2h = 44

h = 22

The mistake was in step 1, where Nigel should have multiplied 20 by 2 and not divide it by 2.

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Which point on the number line represents 18?
A) E.
B) F
C) G
D) H

Answers

Answer:

E

Step-by-step explanation:

The square root of 18 is about 4.2, which means that it is slightly larger than 4. The only letter on the number line that fits this description is letter E. Hope this helps!

Point E is the location on the number that represents √18. Then the correct option is A.

What is a number line?

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The expression in the radical form is given below.

⇒ √18

We know that the value of the radical expression in the decimal number will be 4.24.

Then the location of the point will be after 4 and before 5.

The point E is the location on the number that represents √18. Then the correct option is A.

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Which of the following would be the most effective means of controlling current water pollution of United States surface
waters?

Answers

Answer:

Reducing storm runoff and erosion. This would be the most effective means of controlling current water pollution of US surface waters.

Choose the correct product of (8x − 4)(8x + 4).
64x^2 − 16
64x^2 + 16
64x^2 − 64x + 16
64x^2 + 64x + 16

Answers

Step-by-step explanation:

It is in the form of a² - b²

so it's correct product is

64x² - 16

so the answer is of option A.

Hope this will help u...:)

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