Phil is paid £240 per week.
Each week he saves one-quarter of his pay.
B) He is saving for a new bike that costs £349.
How many weeks does it take to save enough to buy the bike?

Answer:

I think 164

Step-by-step explanation:

1312/8

The coordinate of point Y is: (x,y)= (8,-8). We can describe a dilation with respect fo the origin with the notation:

where k is the scale factor. In our case, k=1/4.

Then, by applying this rule to our point Y, we have

Therefore, the image of point Y after the dilation is:

Answer:

A.

Step-by-step explanation:

From the given information:

If A = m × n matrix

where;

b  is a vector in \(R^m\)

Then; the statement that doesn't fit and is not related to the other three from the given options is Option A.

This is because the statement in Option A appears to be inconsistent. For the model Ax=b to have a solution, A must be non-singular and b must be in A's column space.

Option c and d are equivalent, also option b and c are equivalent.

Two ways we use rate out of class

Two ways we use percentages outside of class

Interest rates: Interest rates are used in financial transactions such as loans, mortgages, and investments. Understanding interest rates is important to make informed decisions about borrowing money or investing in stocks and bonds.

Exchange rates: Exchange rates are used when converting one currency into another. They affect international trade, travel, and investment. Understanding exchange rates is important for businesses and individuals who deal with international transactions.

Discounts and sales: Percentages are commonly used in advertising to promote discounts and sales. Understanding percentages is important to evaluate whether a discount or sale is a good deal or not.

Tax rates: Tax rates are expressed as a percentage of income or value of goods and services. Understanding tax rates is important for individuals and businesses to calculate their tax obligations and make informed financial decisions.

Understanding rates and percentages is important because they are used in many real-world situations. Knowing how to calculate and interpret rates and percentages can help individuals make informed decisions related to personal finance, investments, and business transactions. It also helps individuals understand and evaluate advertisements and government policies that involve rates and percentages.

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Answer:

5

Step-by-step explanation:

Answer:

The set of solutions are linearly independent because the wronskian is

e^(2ax) ≠ 0

Step-by-step explanation:

To show that the set of solutions {e^(ax), xe^(ax)} are linearly independent, we find the Wronskian of the set of solutions.

Wronskian of y1 and y2 is given as:

W(y1, y2) = y1y2' - y1'y2

y1 = e^(ax)

y1' = ae^(ax)

y2 = xe^(ax)

y2' = axe^(ax) + e^(ax)

W(y1, y2) = e^(ax)[axe^(ax) + e^(ax)] - ae^(ax).xe^(ax)

= (ax + 1)e^(2ax) - axe^(2ax)

= e^(2ax)

The wronskian of the given set of solutions is e^(2ax), which is not zero.

Because it is not zero, the set of solutions are linearly independent.

Answer:

-3,0

Step-by-step explanation:

The vertex is just the lowest or highest point of a parabola.

Answer:

The answer to this question should be D. 0.67

Hope this helped.

Answer:

12 blue marbles

Step-by-step explanation:

multiply 2:5 by 8 to get 16:40

multiply 3:10 by 4 to get 12:40

add 16 to 12 to get 28

Subtract 28 from 40 to get 12

Ultimately, you have 12 blue marbles

The given ratios can be expressed as fractions, from which the number of

each colored marble can be found.

Reasons:

Red : Total = 2:5

Green : Total = 3:10

Stones that are neither red nor green is blue

Number of marbles (stones) in the box = 40 marbles

Required:

The number of blue stones in the box.

Solution:

Let x represent the b in the box, let R = red stones, G = green stones, and B = blue stones, we have;

x = 40

Expressing the ratios as fractions gives;

Therefore;

\(R= \dfrac{2}{5} \times x\)

\(R= \dfrac{2}{5} \times 40 = 16\)

The number of red stones, R = 16

Similarly, we have

\(G = \dfrac{3}{10} \times x\)

Therefore;

\(G = \dfrac{3}{10} \times 40 = 12\)

The number of green stones, G = 12

B = x - (R + G)

Therefore;

B = 40 - (16 + 12) = 12  

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From the unique line postulate, we can draw unique line segment PM and as we are given that P is a point on the perpendicular bisector I of MN, the proof below has shown that using the definition of reflection, point P is the image of itself and point N is the image of point M

We are given :

Point P is a point on the perpendicular bisector, l, of MN.

Now, we want to prove that PM = PN

A Reflection in transformation can be defined as the transformation in which the figure is the mirror image of the other figure. This means that every point is a mirror reflection of itself .

With the aid of the definition of reflection, we can form the statement that point P is the image of itself , and point N is the image of M .

The line l which is the perpendicular bisector of MN acts as a Line of symmetry or axis of reflection.

Finally, when talking about transformations, it is common knowledge that reflections preserve length which means that the required proof PM = PN will hold true

Therefore, we will conclude that point N is the image of M .

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Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

Answer:

20.6 cm (im pretty sure lol)

Step-by-step explanation:

sine rule:

(ab = x)

13.5/sin41 = x/sin90

13.5sin90/sin41 = x

x = 20.57741667

ab = 20.6cm

Answer:

d radias

Step-by-step explanation:

The another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

The circumference of the circle is the length of its boundary. It can found out using the following formula,

\(P=2\pi r\)

Here, (r) is the radius of the circle.

Thus, the another way to look at the circumference of a circle is the perimeter of the circle. Option A is correct.

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Answer:

130

Step-by-step explanation:

78/6=13

13*10=130

Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Part A

(20)(35)+(15)(15)-125

Part B

Multiply the sale price of each item by the number of items, and subtract the cost.

Part C

\((20)(35)+(15)(15)-125 \\ \\ =700+225-125 \\ \\ =700+100 \\ \\ =800\)

A) The profit he made from the sales is expressed as; 20(35) + 15(15) - 125

B) The way I know the expression in A above is correct is because the formula for profit is; Profit = Selling Price - Cost Price

C) Profit = $350

We are told that;

Selling price of each keyboard = $35

Selling price of each charger = $15

A) Now, we are told that he bought 20 keyboards and 15 chargers for a total of $125. Thus;

The profit he made from the sales is;

20(35) + 15(15) - 125

B) The way I know the expression in A above is correct is because the formula for profit is;

Profit = Selling Price - Cost Price

C) The profit made is;

20(35) + 15(15) - 125 = 700 - 225 - 125 = $350

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Answer: -8<x> 2

Step-by-step explanation:

open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2

Answer:

2.8, pie, 7, 4.6, 17

Step-by-step explanation:

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The fraction 2/5 added by 3/4 will be 1 3/20.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.

The fraction will be illustrated thus:

=✓2/5 + 3/4

= 8/20 + 15/20

= 23/20

= 1 3/20

The value is 1 3/20.

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Answer:

(7x+5) is the length of the square

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + B^2

Substituite values in and you will find this

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

f(x) = x²

Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

Answer:

=−5r+5

Step-by-step explanation:

Let's simplify step-by-step.

−5−5r+10

=−5+−5r+10

Combine Like Terms:

=−5+−5r+10

=(−5r)+(−5+10)

=−5r+5

Answer: -5r+5

Step-by-step explanation: 1rst: Eliminate redundant parentheses

                                               -5+(-5r)+10

                                               -5-5r+10

                                             2nd: Add the numbers

                                                -5-5r+10

                                                5-5r

                                             3rd: Rearrange terms

                                                5-5r

                                                -5r+5

Answer:

\(0.01p + 0.05n = 8.80; n = 2p\)

\(P = 80\)

\(N = 160\)

Step-by-step explanation:

Hello!

We know that there are twice as many nickels as pennies, so we can say that n = 2p.

Given the hint:

Since "N" and "P" represent the number of pennies, information that we don't know, we can fill in the blank spaces with the value, information that we do know.

We can plug in 2p for "N" in the equation to solve for "P".

There are 80 pennies.

We can plug in 80 in the second equation (N = 2p) to solve for N.

There are 160 nickels.

The equation: \(0.01p + 0.05n = 8.80; n = 2p\)

# of Pennies: \(P = 80\)

# of Nickels: \(N = 160\)

Answer:

9/2 is the slope of the graphed line.

The second statement is true.

Step-by-step explanation:

Answer:

-2(6-3x)=-12+6x

Step-by-step explanation:

If you do the distributive property first and look at the other side of the = sign they are the same, which means that the answer would be x=x, which isn't a solution.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is a measure of the central tendency of the population. It is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population would be calculated by adding the values of the sample (13, 15, 14, 16, 12) and dividing by the total number of values (5). The mean of the population is then 14 (13 + 15 + 14 + 16 + 12 / 5 = 14).

To calculate the mean of the population, we first need to calculate the sum of all the values in the population. This is done by adding the values of the sample together (13 + 15 + 14 + 16 + 12 = 70). We then divide the sum of the values by the total number of values in the population (70 / 5 = 14). This gives us the mean of the population, which is 14.

The mean of the population is a measure of the central tendency of the population, and it is calculated by taking the sum of all the values in the population and dividing by the total number of values. In this case, the mean of the population was 14, which is the point estimate of the population mean that was determined from the simple random sample.

The mean of the population is 14, which is the point estimate of the population mean that was determined from the simple random sample.

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