. Which is bigger 35% of £260 or 45% of £220?*​

Answer:

A is correct.  f(n) = -3n + 24

Step-by-step explanation:

We can see in the first two steps that two meals have been served, and six cups of pet food consumed.  In other words, six cups are consumed in two meals, therefore three cups are consumed in each meal.

If we look at the remaining numbers on the chart, we can see that this carries through.  This tells us that the correct answer must be either a or b, as "-3n" represents the consumption rate.  If it were (1/3)n, then only a third of a cup would be consumed per meal.

Finally, we can figure out which of those two equations is correct simply by plugging a value pair into them.  Starting with a:

f(1) = -3(1) + 24

= 24 - 3

= 21

correct.

To be certain, let's check with answer c:

f(1) = -3(1) + 64

= 64 - 3

= 61

incorrect.

So we can clearly say that the correct answer is "a".  You can plug the other values into it to test that too:

f(3) = -3(3) + 24

= 24 - 9

= 15

correct

So we definitely have the right answer.

Answer:

x=3

Step-by-step explanation:

15 divided by 5= 3

5(3)=15

so x=3

The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:

32/12 and 27/12.

The mixed numbers in the context of this problem are given as follows:

The fractions that represent each number are given as follows:

The least common factor of 3 and 4 is given as follows:

3 x 4 = 12.

Hence the equivalent fractions are given as follows:

More can be learned about equivalent fractions at https://brainly.com/question/17220365

#SPJ1

Answer:

  \(10e^{i\frac{7\pi}{4}}\)

Step-by-step explanation:

The magnitude of the number is ...

  \(|5\sqrt{2}-5i\sqrt{2}|=\sqrt{(5\sqrt{2})^2+(-5\sqrt{2})^2}=\sqrt{50+50}=10\)

The angle of the number is in the 4th quadrant:

  \(\arctan{\dfrac{-5\sqrt{2}}{5\sqrt{2}}}=\arctan{(-1)}=\dfrac{7\pi}{4}\)

So, the exponential form of the number is ...

  \(\boxed{10e^{i\frac{7\pi}{4}}}\)

Option A "Reject the hypothesis" is the appropriate conclusion in this case.

As per the question,

Based on the results from the simulation trials, Peter should conclude that his hypothesis should be rejected.

The simulation showed that finches are a guaranteed bird type for only 80% of the birds, which is lower than the observed percentage of 75% finches at Peter's bird feeder.

This indicates that the predicted percentage of finches continuing at the same rate is not supported by the simulation results.

Therefore, option A "Reject the hypothesis" is the appropriate conclusion in this case.

To learn more about the hypothesis here:

https://brainly.com/question/18064632

#SPJ1

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

To learn more about equations click on,

https://brainly.com/question/29266004

#SPJ1

Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

Answer:

Side a = 10.44031

Side b = 10

Side c = 3

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad

Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad

Answer:0.03

Step-by-step explanation:

Answer:

0.03

Step-by-step explanation:

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The number of students that took Mrs. Smith's Math test as dshown in the stem-and-leaf plot is: 20.

A stem-and-leaf plot displays a data distrubution as follows, i.e., if 56, 57 are data points, 5 would be the stem while 6, 7 will be the leaf (5 | 6, 7).

The data points in the stem-and-leaf plot shown represents the score of each of the student. There are 20 data points.

Therefore, the number of students that took the test is: 20.

Learn more about the stem-and-leaf plot on:

https://brainly.com/question/8649311

#SPJ1

Answer:

draw a line going from -2(dot shaded in)  going right

Step-by-step explanation:

Answer:

x ≥ -2 will have a closed circle on -2 and will be shaded to the right

Step-by-step explanation:

First you will need to determine what circle to use

Here our sign in x ≥ -2 is ≥ so we will need to use a closed circle

Then to determine which way you shade, just follow the direction that the inequality sign is "pointing"

Answer:Execute Order 66

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the original figure is the black one

Area of the original figure = 2 x 3 = 6

A (0,1) -> A’ (0,3)

B (2,1) -> B’ (6,3)

C (2,4) -> C’ (6, 12)

D (0,4) -> D’ (0,12)

AB = 6

BC = 9

Area of the final figure = 9 x 6 = 54

b)

area of the final figure = 9 x area of the original figure

c)

true, because their side are proportional

Answer: 9.52cm

Step-by-step explanation:

The data we have is:

Radius = 7cm

Angle of the arc = 1.36 rads

Now, the perimeter of a full circle is equal to:

P = 2*pi*r

Where 2*pi = 6.28 rads

Then the length of an arc of angle A is

P = A*r

then in our case:

P = 1.36*7cm = 9.52cm

Answer:

15:24, 20:32 and 40:64.

Step-by-step explanation:

hope this helps

Answer:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

Step-by-step explanation:

The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and  lastly 16:10 because they both have a 2 as factors.

y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We have to find the slope-intercept equation for a line that goes through the point (4,-3)--with a slope of -2

m=-2

Now let us find the y intercept

-3=-2(4)+b

-3=-8+b

-3+8=b

5=b

Hence, y=-2x+5 is the slope-intercept equation for a line that goes through the point (4,-3) and 5 is the value of b.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ1

The inverse function of the given function is \(\mathbf{= \dfrac{28+7x}{x-1}}\)

A function g is the inverse of a function f, if and only if the values of y= f(x), x = g(y).

From the formula given:

\(\mathbf{y=f(x) = \dfrac{x+28}{x-7}}\)

Let's substitute x with y;

\(\mathbf{y= \dfrac{x+28}{x-7}}\)

\(\mathbf{x=\dfrac{y+28}{y-7}}\)

Solve for y;

\(\mathbf{= \dfrac{28+7x}{x-1}}\)

Learn more about solving inverse functions here:

https://brainly.com/question/3831584

#SPJ1

Step-by-step explanation:

b) As we know, the length is 5/8 because it is the edge of the square is 5/8

So, first let's find out the area of one square, A = S * S or A=L * L

A is Area, S is side, L is length,

A = 5/8 * 5/8

= 25/64

So, for 48 squares, we get 48 * 25/64

= 75/4 square inches of fabric (in simplest form)

The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

Read more about absolute value equation at

https://brainly.com/question/26954538

#SPJ1

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

Answer:

I think it is yes.

Step-by-step explanation:

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

To learn more about translation click :

https://brainly.com/question/19007400

#SPJ1

Answer:

(7) The value of -j is 9.

(8) The value of -(-j) is -9.

(9) The value of (-j)(-j) is 81.

Step-by-step explanation :

Part 7:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j).

-j = - (-9) = 9

The value of -j is 9.

Part 8:

Given algebraic expression is:

j = -9

Now we have to determine the value of -(-j).

- (-j) = - [-(-9)] = -9

The value of -(-j) is -9.

Part 9:

Given algebraic expression is:

j = -9

Now we have to determine the value of (-j)(-j).

(-j)(-j) = [- (-9)] ×  [- (-9)] = 9 × 9 = 81

The value of (-j)(-j) is 81.

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

Read more about expression at

brainly.com/question/15775046

#SPJ1

To calculate the total amount of onions needed per day, you can multiply the number of servings by the amount of onions per serving.

50 bowls x 8 ounces of onions per bowl = 400 ounces of onions per day.

Therefore, your restaurant will need 400 ounces of onions per day to serve 50 bowls of French onion soup daily

Answer:

  6120 cm³

Step-by-step explanation:

You want the volume of a rectangular prism 17 cm by 20 cm by 18 cm.

The volume of a rectangular prism is given by the formula ...

  V = LWH

Using the given values for length, width, and height, we find the volume to be ...

  V = (17 cm)(18 cm)(20 cm) = 6120 cm³

The volume of the prism is 6120 cubic centimeters.

<95141404393>

Answer:

165 degrees

Step-by-step explanation:

1 is opposite of 6

1 is 15 degree

half circle is 180 degree

you subtract 15 you got 165

1 and 5 they both will be 15 degree and 6 and 2 they both will be 165 degree

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)