Natalie makes potato cakes in a restaurant.
She mixes potato, cheese and onion so that
weight of potato:weight of cheese :weight of onion = 9: 2:1
Natalie needs to make 6000g of potato cakes.
Cheese costs £2.25 for 175 g.
Work out the cost of the cheese needed to make 6000g of potato cakes

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Answer:

Yes

Step-by-step explanation:

For three side lengths to make a triangle, the two smaller lengths have to add up to be greater or equal to the largest side length.

since 7+8=15, and 15>14, the answer is yes.

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

Learn more about normal distribution here:

https://brainly.com/question/31327019

#SPJ1

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

Learn more about linear functions at:

https://brainly.com/question/29721668

#SPJ1

Answer:

\(\displaystyle y = 4x + 12\)

Step-by-step explanation:

−4x + y = 12

+ 4x + 4x

_________

\(\displaystyle \boxed{y = 4x + 12}\)

I am joyous to assist you at any time.

Answer:

7/16

Step-by-step explanation:

38 + 1/16 = 38.0625

38.0625 = 7/16

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

for more question on graph visit:

https://brainly.com/question/19040584

#SPJ8

Answer:

The area of rectangle can be found by multiplying the width and length of the rectangle. To find the length of the rectangle compare the x values of two of the coordinates: Since the length is . To find the width of the rectangle we need to look at the y coordinates of two of the points.

Step-by-step explanation:

a) Using the four basic mathematical operations, the number of balloons that each person hang up is 9.

b) An equation representing the situation is x = (125 - 80)/5.

The four basic mathematical operations include addition, subtraction, division, and multiplication.

The mathematical operations provide solutions to mathematical problems using operands.

An equation is a mathematical statement showing that two or more mathematical expressions are equal or equivalent.

The total number of balloons that Andre has = 125

The number of balloons remaining after hanging some for the school party = 80

The difference (number of balloons used) = 45 (125 - 80)

The number of friends who hang the balloons = 5

The number of balloons hung by each friend of Andre = 9 (45/5)

Thus, we can conclude that each of the 4 friend and Andre hung 9 balloons, with 80 remaining.

Learn more about mathematical operations at https://brainly.com/question/30715366.

#SPJ1

Answer:

\(N:D = 1: 2\)

Step-by-step explanation:

Given

Represent Nickels with N and Dimes with D

\(N=25\)

\(D=25\)

Required

Write as a ratio to lowest term

Ratio of Nickels to Dime is represented as N:D

\(N:D = 25\ nickels : 25\ dimes\)

Convert nickels to dollar

\(N:D = 25\ * \$0.05. : 25\ * \$0.10\)

\(N:D = 1.25 : 2.5\)

Divide through by 1.25

\(N:D = 1.25/2.25 : 2.5/1.25\)

\(N:D = 1: 2\)

Hence, the ratio to lowest term is 1:2

Answer:

$105

Step-by-step explanation:

$5 initial cost + $50 (teal shirt) + $50 (purple shirt)

my favorite color is grey with green. the colors look immaculate together, brown is also one of my favorites. if im being honest, i think all colors are beautiful, but grey,green,and brown are some of my favorites. thank you for the points luv, god bless you hun.

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (6x)° +x° +(2x)° = 180°

  9x = 180

  x = 20

  ∠B = (2·20)° = 40°

Step-by-step explanation:

12x-5=91°

12x=91+5

x =96

12

x=8°

hope it helps.

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

The weighted average length of a nail from the carpenter's box whose distribution is give in image is: 3.5cm.

What is weighted average ?

Weighted average is a type of average that takes into account the relative importance or weight of each data point. In a weighted average, each data point is multiplied by a corresponding weight, which reflects its relative importance, and the products are then summed and divided by the sum of the weights.

To find the weighted average length of a nail, we need to multiply each nail length by its percent abundance, then add up all the products and divide by the total percent abundance.

Let's start by calculating the product of each nail length and its percent abundance:

Short nail: (2.5 cm) x (70.5%) = 1.7625 cm

Medium nail: (5.0 cm) x (19%) = 0.95 cm

Long nail: (7.5 cm) x (10.5%) = 0.7875 cm

Now, we add up all the products:

1.7625 cm + 0.95 cm + 0.7875 cm = 3.5 cm

Finally, we divide by the total percent abundance:

70.5% + 19.0% + 10.5% = 100%

Therefore, the weighted average length of a nail from the carpenter's box is: 3.5 cm ÷ 100% = 3.5cm

To learn more about weighted average from the given link :

https://brainly.com/question/28419561

#SPJ1

Since the table shows points with linear behavior, we can find the rate of change (slope) by taking a pair of points. For instance, if we choose the points

the rate of change is given by

which gives

Therefore, the rate of change is: 5 people per minute.

Answer:

The cost price was 500.

Step-by-step explanation:

Let x be the original price.

\(x\times(1+12\%)=560\)

\(x\times(1+0.12)=560\)

\(1.12x=560\)

\(1.12x/1.12=560/1.12\)

\(x=500\)

Answer:

Solution,

\(profit \: percent = 12 \\ selling \: price = 560 \\ cost \: price \\ = \frac{sp \times 100}{100 + profit \: percnt} \\ = \frac{560 \times 100}{100 + 12} \\ = \frac{56000}{112} \\ = 500\)

hope this helps...

Good luck on your assignment...

Total change in money:-

\(\\ \tt\longmapsto 15+(-65)+40+(-15)\)

\(\\ \tt\longmapsto 15-65+40-15\)

\(\\ \tt\longmapsto 15-15-65+40\)

\(\\ \tt\longmapsto -25\$\)

Now.Current balance:-

\(\\ \tt\longmapsto 95-25=\$70\)

Answer:

$70.

Step-by-step explanation:

Balance = 95 + 15 - 65 + 40 - 15

= 110 - 65 + 40 - 15

= 45 + 40 - 15

= 85 - 15

= $70.

Answer:

Step-by-step explanation:

I think you are trying to use synthetic division for

\(x^{4} -2x^{3} -2x^{2} +3x-5\) divided by x-3

First  

x -3 = 0 , make it equal to 0 and add 3 to both sides

x = 3

Then we write all the coefficients and continue with

a pattern of multiply by 3 and add to the next coefficient.

See attachment.

We have a rectangle with a width W and a length L.

We can write the perimeter as:

If we know that W=2.45 and P=10.8, we can calculate the length L as:

The length of the rectangle is 2.95.

The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.

The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.

For example the median of option A) is calculated as follows:

Data set= 23,62,68,73,75,77

Median = 68+73/2 = 70.5

Therefore the median is between 68 and 73 which is = 70.5

Learn more about mean here:

https://brainly.com/question/32663929

#SPJ1

A scale drawing is a drawing of a real object with the actual sizes accurately enlarged or reduced by a given factor, known as the scale of the drawing

The correct values are:

The actual dimensions (of the room) would be: \(6\frac{2}{3}\) feet by: 9 feet

The area of the room would be 60 square feet

The reason the above values are correct is as follows;

The given parameters are;

The scale of the floor plan is 32 inches : 1 inch, which reads;

32 inches in actual dimension is equivalent to 1 inch in the drawing

The dimensions of the room in the drawing is 2 1/2 inches by 3 3/8 inches

The number of decimal places of the answer is the nearest .01 inches:

Required:

The actual dimensions of the room in the question

Method:

The dimensions of the room is given by multiplying the given drawing dimensions by 32 inches, as follows;

Solution:

The actual dimensions of the room is given as follows;

\(Actual \ Room \ dimensions: \ 2\frac{1}{2} \ inches \times 32 \ by \ 3\frac{3}{8} \ inches \times 32\)

Where;

\(2\frac{1}{2} = \dfrac{5}{2}\), and  \(3\frac{3}{8} =\dfrac{27}{8}\)

Which gives;

\(\dfrac{5}{2} \ inches \times 32 = 80 \ inches \ by \ \dfrac{27}{8} \times 32 = 108 \ inches\)

However;

80 inches = \(6\frac{2}{3}\) feet

108 inches = 9 feet

Therefore;

The actual dimensions (of the room) would be: \(6\frac{2}{3}\) feet by: 9 feet

The area of the room, A = \(6\frac{2}{3}\) feet × 9 feet = 60 square feet

Therefore;

The area of the room would be 60 square feet

Learn more about scale drawing here:

https://brainly.com/question/20385581

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer:

A. Infinitely many solutions

Step-by-step explanation:

You have written the same equation twice. Basically you have two variables, x and y, but only one condition binding them. As long as one changes you can determine the other.

Answer:

RS

Step-by-step explanation:

If we flip triangle PQR, we can see that RS is congruent to PR

Congruent triangles are exact same triangles, but they might be placed at different positions. The diagram below, ΔPQR ≅ ΔSTR. Complete the statement PR ≅ RS.

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

\(\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF\)

(|AB| denotes the length of line segment AB, and so on for others).

Given that the ΔPQR ≅ ΔSTR. Therefore, the sides that are equal are,

Therefore, the blank can be filled with RS.

Learn more about Congruent Triangles:

https://brainly.com/question/16921692

#SPJ5

Answer: x^6

Step-by-step explanation:

You add the exponents

An equivalent expression for the given expression is x⁶.

The given expression is x²×x⁴.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Using the exponential law \(a^m\times a^n=a^{m+n}\), we get

Here, x²×x⁴ = x²⁺⁴

= x⁶

Therefore, an equivalent expression for the given expression is x⁶.

To learn more about an exponents visit:

https://brainly.com/question/15993626.

#SPJ4

The equation that represent the gross pay is y = 0.12x + 1760. The commission was $10896 and gross pay was $12656

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Let y represent the gross pay for x total sales.

Donald Simmons a $1760 monthly salary plus a 12% commission on merchandise he sells each month, hence:

y = 1760 + 12% of x

y = 0.12x + 1760

Donald's sales were $90,800 for last month. Hence:

a) Commission = 0.12 * $90800 = $10896

b) Gross pay:

y = 10896 + 1760 = $12656

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The time it takes for the volume to change when each edge is 10 centimeter would be = 3.3sec

A cube is a type of solid shape that has six number of faces, eight number of vertices and twelve number of edges.

The cube with edges of 3 cm = 1 second

When the cube has edges of 10 cm = X seconds

Make X seconds the subject of formula;

X seconds = 10 × 1/3

X seconds= 3.3sec

Therefore, it will take 3.3 secs for the volume to change when each edge is 10 centimeter.

Learn more about volume here:

https://brainly.com/question/26122239

#SPJ1

Using the concept of ratio, the rate at which questions were answered correctly is 0.867 which is option B

Rate can be defined as comparing two or more ratio with a standard value.

The rate of correct answer can be calculated using the ratio between the number of correct answers to numbers of questions answered.

The rate is given as;

rate = 65 / 75

rate = 0.867

The rate of correct answers is 0.867

Learn more on rates here;

https://brainly.com/question/843074

#SPJ1