Can someone please help me and explain I’ll mark brainliest

Answer:

£500

Step-by-step explanation:

ratio of money = 3 : 1 = 3x : x ( x is a multiplier )

winner receives £250 more than the runner up, that is

3x = x + 250 ( subtract x from both sides )

2x = 250 ( divide both sides by 2 )

x = 125

total prize money = 3x + x = 4x = 4 × 125 = £500

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (2, - 2)

m = \(\frac{-2-4}{2+1}\) = \(\frac{-6}{3}\) = - 2 , thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 2 ), then

- 2 = - 4 + c ⇒ c = - 2 + 4 = 2

y = - 2x + 2 ← equation of line

Answer:

One solution

Step-by-step explanation:

x - 4y = 6

-4y = 6 - x

-4y/-4 = 6/-4 -x/-4

y = -6/4 + -x/4

2x − 8y = 12

-8y = 12 - 2x

-8y/-8 = 12/-8 - 2x/-8

y = -12/8 + 2x/8

Graph "y = -6/4 + -x/4" and "y = -12/8 + 2x/8" to find how many solutions these lines have.

As shown below, it has only one solution.

Answer: 123

Step-by-step explanation:

2 1/4 miles => 1 week

1 mile => 1 ÷ 9/4

( 9/4 is an improper fraction of 2 1/4 )

12 1/2 miles => ( 1 ÷ 9/4 ) × 25/2

= 50/9

= 5 5/9 weeks

( 25/2 is an improper fraction of 12 1/2 )

Therefore, it will take 5 5/9 weeks for the company to replace the stretch of road.

( you can round it off to 6 weeks if the qn specify to give to the nearest whole number )

Answer:

14,756

Step-by-step explanation:

217*68 = 14,756

Hope this helps!

Could you mark me as brainiest?

It would help me a lot!

Thank you!

Proportional and linear functions are very similar. The only difference is the addition of the “​b​” constant to the linear function. A proportional relationship is just a linear relationship where ​B​ = 0, or where the line passes through the origin (0, 0).

Answer:

radius = 212121

Step-by-step explanation:

circumference =

\(2\pi \: r\)

From the question circumference is 4/3

4/3 = 2 × 22/7 x r

4/3 = 44/7 × r

4/3 = 44r/7

LCM of 3 and 7 is 21

21× 4/3 = 44r/7 × 21

7 × 4 = 3 × 44r

28 = 132r

28/132 = 132r/132

0.212121 = r

therefore the radius is 0.212121.

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

$69

Step-by-step explanation:

23 + 23+23 = $69

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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By using Unitary method, it can be calculated that

a) Quantity of butter Trevor uses = 200 \(\times\) 2 = 400 g

   Quantity of oats Trevor uses = 200 \(\times\) 3 = 600 g

b) 900 g of oats is required to make 16 flapjacks

What is Unitary method?

Unitary method is the process in which the value of single unit can be calculated from the value of multiple unit and the value of multiple unit can be calculated from the value of single unit. Sometimes Value of single unit can be less than the value of multiple unit. For example - The relation between the cost of a commodity and the quantity of the commodity

Sometimes Value of single unit can be more than the value of multiple unit. For example - The relation between the number of men and the number of days taken by those men to do a certain job.

Here Unitary method will be required

a) Let Trevor use x g Syrup, 2x g butter and 3x g oats

Trevor uses 200 g syrup

So x = 200

i) Quantity of butter Trevor uses = 200 \(\times\) 2 = 400 g

ii) Quantity of oats Trevor uses = 200 \(\times\) 3 = 600 g

b) To make 8 flapjacks 150 g of syrup is used

   To make 1 flapjack \(\frac{150}{8}\) g of syrup is used

   To make 16 flapjacks \(\frac{150}{8} \times 16\) g of syrup is used

   To make 16 flapjacks 300g of syrup is used

   To make 16 flapjacks 300 \(\times\) 3 g of oats is used

   To make 16 flapjacks 900 g of oats is used

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If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water

I don't know if I solved it the way you needed me to, but I hope it helps

I don't know what the answer choices are so yeah.

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

1311.88

Step-by-step explanation:

Feet:stories

883:70

x:104

To solve this we need to multiply 883 by 1.48 because this is what we multiplied 70 to get to 104

x=1311.88=1312

9514 1404 393

Answer:

  $55,085.44

Step-by-step explanation:

The formula for the account balance is ...

  A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using the given values, we find the balance to be ...

  A = $21,000(1 +0.082/2)^(2·12) = $21,000(1.041^24) ≈ $55,085.44

The balance is $55,085.44 after 12 years.

Answer:

Step-by-step explanation:

33.3%

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Answer:

2+2=4

Step-by-step explanation:

if you are satisfied with the results then plz make me genius

Answer:

22?? put them together :)

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{(-2)}) \implies y -1 = \cfrac{1}{3} ( x +2) \\\\\\ y-1=\cfrac{1}{3}x+\cfrac{2}{3}\implies y=\cfrac{1}{3}x+\cfrac{2}{3}+1\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x+\cfrac{5}{3} \end{array}}\)

Answer:

\(2x+3y=21\\x=2y\)

x represents the number of two-point shots. y represent the number of three-point shots.

Step-by-step explanation:

Let's let x represent the number of two-point shots Easton made and let's let y represent the number of three-point shots Easton made.

So, we know that that Easton scored a total of 21 points.

In other words, the amount of two-point shots and amount of three-point shots total 21. In an equation, this is:

\(2x+3y=21\)

The 2 in front of the x represents the two-point per shot, and the 3 in front of the y represents the three-point per shot.

We also know that Easton made twice as many two-point shots as three-point shots. So, we can write this as:

\(x=2y\)

The number of two-pointers x is equivalent to twice the number of three-pointers y.

So, our system of equations is as follows:

\(2x+3y=21\\x=2y\)

Notes:

To solve, use substitution. Substitute the second equation into the first:

\(2(2y)+3y=21\)

Multiply:

\(4y+3y=21\)

Combine like terms:

\(7y=21\)

Divide by 7:

\(y=3\)

Solve for x using the second equation again:

\(x=2(3)=6\)

So, Easton made 6 two-pointers and 3 three-pointers.

Answer:

-7x+14

Step-by-step explanation:

Multiply -7 by the numbers in the parenthesis.

-7 * x = -7x

-7 * 2 = -14

[RevyBreeze]

Answer

Option A is correct.

The value of a for which f(a) is (1/10) is

a = -(3/2)

Step-by-step Explanation

f(a) is given as

We are then told to find the value of a for which f(a) = (1/10)

Recall that

f(a) = (2 + a)/5

So, we just equate this definition of the function to (1/10)

10(2 + a) = 5

20 + 10a = 5

Subtract 20 from both sides

20 + 10a - 20 = 5 - 20

10a = -15

Divide both sides by 10

(10a/10) = (-15/10)

a = -1.5 = -(3/2)

Option A is correct.

Hope this Helps!!!

Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

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Answer:

x = 4i, − 4i

Step-by-step explanation:

The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x

x = 4i, − 4i