You are catering at a ceremony and have a budget of R1 200 to spend on meat. You
want to serve chicken and steak. Chicken costs R30 per kilogram and steak costs R120
per kilogram.
3.1.1 In the problem description in 3.1 above, state what changes and what remains
the same. In other words, mention the variables for the problem.

Answers

Answer 1

Answer:

Step-by-step explanation:


Related Questions

find the X and the Y intercepts of the graph of the equation below 8x + 2y equals negative 16

Answers

The expresion is:

[tex]8x+2y=-16[/tex]

to find the intercepts with the x axis we have to rplace in the equation y = 0, so:

[tex]\begin{gathered} 8x+2(0)=-16 \\ 8x=-16 \end{gathered}[/tex]

and we solve for x

[tex]x=-\frac{16}{8}=-2[/tex]

the intersection with the x axis is -2

And for the itercepts with the y axis we replace x = 0

[tex]\begin{gathered} 8(0)+2y=-16 \\ 2y=-16 \end{gathered}[/tex]

and we solve for y

[tex]y=-\frac{16}{2}=-8[/tex]

This means that the intersepts with the y axis is -8

Please help!!!!!!!!!!!

Answers

They are similar because they share one same angle and both have a angle with the same degree

The top needs to know what type of triangle like sas ssa or the other types

Answers

From the parameters given, the triangle could be as shown below

a) From the above figures, the triangle can either be an acute triangle or a reflex triangle .

b) There are thus, 2 solutions

In the expression 7^4 = 2,401, the value of the____ is 7.A. BaseB. PowerC. exponent

Answers

Answer:

The value of the base is 7 (option A)

Explanation:

Given:

[tex]7^4\text{ = 2401}[/tex]

To find:

To complefe the sentence by ill ingthe blanks

In powers and exponents:

[tex]For\text{ }a^b:\text{ a = base, b = exponent}[/tex][tex]\begin{gathered} Applying\text{ same principle:} \\ 7^4:\text{ Base = 7, exponent = 4} \end{gathered}[/tex]

The value of the base is 7 (option A)

What are the values of X where f(x)=g(x)Round to the nearest hundredth’s place if necessary.select all that apply

Answers

Given:

The functions

[tex]\begin{gathered} f(x)=2Cos(x) \\ g(x)=(x+0.5)^2+1 \end{gathered}[/tex]

Required:

What are the values of x where f(x)=g(x).

Explanation:

From graph we can see that function equals at x value (-0.934) and (0.412)

Answer:

The x values are (-0.93) and (0.41)

Simplify (z9z−3)−2.

1 over z raised to the twelfth power

1 over z raised to the sixth power

−z^12

−z^6

Answers

Answer:

A. 1 over z raised to the twelfth power

Step-by-step explanation:

Hope this helps! :))
Please tell me if this is incorrect

Answer:

1 over z raised to the twelfth power

Step-by-step explanation:

HELP!
For triangle XYZ, m∠X = 38°, m∠Y = (5x − 11)°, and m∠Z = (4x − 45)°. Find m∠Y.

m∠Y = 22°
m∠Y = 43°
m∠Y = 99°
m∠Y = 158°

Answers

The value of m∠Y in triangle XYZ is 99°

How to solve an equation

An equation is used to show the relationship between two or more numbers and variables.

In triangle XYZ, the angles are angle x, y and z. Hence:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

Substituting:

38 + (5x -11) + (4x -45) = 180

Collecting like terms:

9x - 18 = 180

9x = 198

x = 22

m∠Y = 5(22) - 11 = 99°

m∠Y is 99°

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A cone has a radious of 5inches and a height of 10.125inches.What is the volume of the cone in inch rounded to the nearest tenth?

Answers

Answer:

264.9 in³

Explanation:

The volume of a cone can be calculated using the following equation:

[tex]V=\frac{\pi\cdot r^2\cdot h}{3}[/tex]

Where π is approximately 3.14, r is the radius of the cone and h is the height.

So, replacing r by 5 in and h by 10.125 in, we get:

[tex]\begin{gathered} V=\frac{3.14\cdot(5)^2\cdot(10.125)}{3} \\ V=\frac{3.14\cdot25\cdot10.125}{3} \\ V=\frac{794.8}{3} \\ V=264.9 \end{gathered}[/tex]

Therefore, the volume of the cone is 264.9 in³

The instructor’s friend also plans to rent an apartment in the same complex. Use the graph to identify the y-intercept and the slope used to write the equation in slope intercept form.

y-intercept =

Slope =

Linear equation =

Answers

The y-intercept of the graph is: 3,000

The slope is: -2.75

The linear equation of the graph is: y = -2.75x + 3,000.

What is the Linear Equation of a Graph?

The linear equation that represents a linear graph shows the slope (m) and y-intercept (b) of the graph and is expressed in slope-intercept form as, y = mx + b.

In the given graph:

The y-intercept (b) is the starting value, which is the point on the y-axis where the line intercepts, and it is equal to: 3,000.

Using two points on the graph, (0, 3,000) and (2, 2,450), the slope of the graph = change in y / change in x = (3,000 - 2,450)/(0 - 2) = 550/-2 = -2.75.

To write the linear equation, substitute m = -2.75 and b = 3,000 into y = mx + b:

y = -2.75x + 3,000.

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PLEASE HURRY IM SO CONFUSED

What is the product of (−4)(23)(−7)?

Answers

Answer:

644

Step-by-step explanation:

-4x23=-92

-92x-7=644

i hope this helped :)

Simplify the expression.Can you help me with this one. I'm stuck at 12^x4 - 15x^2

Answers

Simplify the given expression as shown below

[tex]\begin{gathered} 3x(4x^4-5x)=3x*4x^4+3x(-5x)=12x^5+(-15x^2) \\ =12x^5-15x^2 \end{gathered}[/tex]Therefore, the answer is 12x^5-15x^2

Clarissa's division test was a 60% the first six weeks and a 72% the second six weeks. find the percent change. also, label it as increase or decrease.

Answers

The percentage change of the division test is 12%.

There is a percentage increase.

How to find percentage change?

Percentage change is the difference in values and the percent change from the original value to the new value.

In other words, percentage change can be defined as a percentage change in value due to changes in the old number and new number, and the values can either increase or decrease.

Percentage change is all about comparing old to new values.

The division test was 60% in the first six week.

The division test was 72% in the second six week.

Therefore,

percentage change = 72% - 60%

percentage change = 12%

Therefore, there is a percentage increase by 12%.

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Mary's dog weighs 25 pounds. How many ounces does the dog weigh? Remember, there are 16 ounces in a pound.

Answers

Answer:

400

Step-by-step explanation:

4 x 10^, 20^2

Answer:

25 pounds  16 ounces = 6400

Step-by-step explanation:

Select the GCF for each pair of numbers. 9,15 12,18 15,27 30,54

Answers

The Greatest common factors for each pair of numbers are;

1, ( 9 , 15 ) = 3

2. ( 12 , 18 ) = 6

3. ( 15 , 27 ) = 3

4. (30, 54) = 6

What is Greatest common factors?

The highest number that divides exactly into two more numbers, is called  Greatest common factors.

Given that;

The pairs of numbers are;

1, ( 9 , 15 )

2. ( 12 , 18 )

3. ( 15 , 27 )

4. (30, 54)

Now,

Find the Greatest common factors of the pairs of the numbers as;

1, ( 9 , 15 )

LCM of 9 = 3 x 3

LCM of 15 = 3 x 5

So, GCF of 9 and 15 = 3

2. ( 12 , 18 )

LCM of 12 = 2 x 3 x 2

LCM of 18 = 3 x 3 x 2

So, GCF of 12 and 18 = 3 x 2 = 6

3. ( 15 , 27 )

LCM of 15 = 3 x 5

LCM of 27 = 3 x 3 x 3

So, GCF of 15 and 27 = 3

4. (30, 54)

LCM of 30 = 2 x 3 x 5

LCM of 18 = 3 x 3 x 2

So, GCF of 30 and 54 = 3 x 2 = 6

Thus, The Greatest common factors for each pair of numbers are;

1, ( 9 , 15 ) = 3

2. ( 12 , 18 ) = 6

3. ( 15 , 27 ) = 3

4. (30, 54) = 6

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If the area of a parallelogram is 36 cm^2 and has a height of 4 cm, what is the basea cm

Answers

Given, the area of the parallelogram, A=36 cm^2.

The height of the parallelogram, h=4 cm.

The area of a parallelogram is,

[tex]A=bh[/tex]

Here, b is the base length and h is the height of the parallelogram.

Put values of A and h in the above equation to find base b.

[tex]\begin{gathered} 36=b\times4 \\ \frac{36}{4}=b \\ 9cm=b \end{gathered}[/tex]

Therefore, the base of the parallelogram is 9 cm.

12–23. Tony Ring wants to attend Northeast College. He will need $60,000 4 years from today. Assume Tony’s bank pays 12% interest compounded semiannually. What must Tony deposit today so he will have $60,000 in4 years?

Answers

Answer:

See below

Step-by-step explanation:

Period = 1/2 year    total 4years = 8 periods

i = interest per period in decimal form = .12/2 = .06

initial deposit = ?

Final value = 60 000

60 000 = ? ( 1 + .06)^8

? = 37644.74

Write the correct expression for the following statement.
x six times
Use / for division
do not put any spaces

Answers

the expression is x+x+x+x+x+x , but assuming you want the answer simplified, its 6x

A group of 175 college students who took math last term were interviewed. They were asked whether they passed their math course and whether they live on campus. Their responses are summarized in the following table. Passed math Failed math Live on campus 49 21 Live off campus 28 77 Х x $ ? (a) What percentage of the students passed math? [% (b) What percentage of the students live on campus? % (C) What percentage of the students who live on campus passed math? []% (d) Is there evidence that students who live on campus tend to pass math more often than average? O No, because the percentage found in part (c) is about the same as the percentage found in part (a). O No, because the percentage found in part (c) is about the same as the percentage found in part (b). ○Yes, because the percentage found in part (C) is much greater than the percentage found in part (a).○yes because the percentage found in part C is much greater than the percent is found in Part B

Answers

Given the group of 175 college students who took math last term:

(a) You can identify in the table that the total number of students that passed math is:

[tex]49+28=77[/tex]

Therefore, knowing the total number of students that were interviewed, you can determine that the percentage of the students who passed math is:

[tex]\frac{77}{175}\cdot100=44\text{ \%}[/tex]

(b) Based on the data shown in the table, the total number of students who live on campus is:

[tex]49+21=70[/tex]

Therefore, you can determine that the percentage of the students who live on campus is:

[tex]\frac{70}{175}\cdot100=40\text{ \%}[/tex]

(c) You can identify that 49 students live on campus and passed math. Therefore, the percentage of the students who live on campus and passed math is:

[tex]\frac{49}{49+28}\cdot100\approx63.6\text{ \%}[/tex]

(d) Knowing that 63.6% of the students who live on campus passed math, 40% of the student who live on campus, and 44% of the students interviewed passed math, you can identify that students who live on campus tend to pass math more often than average, because:

[tex]63.6\text{ \%}>40\text{ \%}[/tex]

Hence, the answers are:

(a)

[tex]44\text{ \%}[/tex]

(b)

[tex]40\text{ \%}[/tex]

(c)

[tex]63.6\text{ \%}[/tex]

(d) Last option.

Which of the following expressions is equivalent to 3x(2+5y)

Answers

Answer:

[tex]15xy+6x[/tex]

Which answer choice identifies the relevant information in the problem?
Sarah left the house at 12:15 p.m. to go to the store. She spent $42.20 on 2 books for her children and she spent $5.67 on a toys for her dog, Rover. Sarah arrived home at 1:00 p.m. How much did Sarah spend on each book?

Answers

Answer:

$18.26

Step-by-step explanation:

The total price is $42.20

We want to know how much 1 of those books cost

We know that $5.67 were for her dog

So we are gonna subtract that from $42.20

$42.20-$5.67=36.53

Now your gonna divide that by 2 because she got 2 books

So 36.53/2=$18.26

1 book=$18.26

42.20 becouse u have to add

how many ways can nine trophies be arranged on a shelf

Answers

we know that

There are: 9 ways to put the first trophy.

8 ways to put the second trophy after putting the first one.

7 ways to put the third trophy after putting the second one.

6 ways .............the third one

5 ways --------> the fourth

4 ways------> 5

3 ways -----> 6

2 ways ----> 7

1 ways-----> 8

therefore

n!

where n=9

9!=9*8*7*6*5*4*4*2*1

9!=362,880

the answer is

362,880 ways

Is 5 ft, 6 ft, 11 ft a right triangle

Answers

Answer:

No, not right or a triangle lol

Step-by-step explanation:

This is not a triangle.

5+6=11, it has to be greater :)

your triangle is a straight line.

:]

The graph shows the mass of the bucket containing liquid depends on the volume of liquid in the bucket. Use the graph to find the range of the function.

Answers

The range of the graph is 0 <= M <= 5.5

How to find the range of the function?

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

How to determine the domain and the range?

The domain

On the graph of the function, we can see that:

The x values start from 0 and it ends at 7.5

This means that the domain is 0 <= x <= 7.5

The range

On the graph of the function, we can see that:

The x values start from 0 and it ends at 5.5

This means that the range is 0 <= M <= 5.5

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Answer:

0 <= M <= 5.5

Step-by-step explanation:

An item on sale costs 40% of the original price if the original price was $25 what is the sale price

Answers

Answer: $10

Step-by-step explanation:

original price = 25

40% = 0.4

25 * 0.4= 10

Precalc please help Answers:A. 5 sin 60°/sin 70°B. 5/sin 50° sin 70°C. 5/sin 50°D. 5 sin 50°/sin 70°

Answers

step 1

Find out the measure of angle P

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

P+Q+R=180 degrees

substitute given values

P+70+60=180

P=180-130

P=50 degrees

step 2

Applying the law of sines

QR/sin P=PR/sin 70

substitute given values

QR/ sin 50=5/sin 70

QR=(5/sin 70)*sin 50

the answer is option D

Hi, I need help differentiating using the product rule, thanks

Answers

Differentiate using the product rule:

g. We take out the constant:

[tex]4\frac{dy}{dx}\left(x\left(3x-2\right)^5\right)[/tex]

So:

[tex]=4\left(\frac{d}{dx}\left(x\right)\left(3x-2\right)^5+\frac{d}{dx}\left(\left(3x-2\right)^5\right)x\right)[/tex]

Now

[tex]\begin{gathered} \frac{d}{dx}\left(x\right)=1 \\ \frac{d}{dx}\left(\left(3x-2\right)^5\right)=5(3x-2)^4\cdot\frac{d}{dx}\left(\left(3x-2\right)^5\right)=5\left(3x-2\right)^4\cdot\:3=15\left(3x-2\right)^4 \end{gathered}[/tex]

Substituting the derivatives found:

[tex]=4\left(1\cdot\left(3x-2\right)^5+15\left(3x-2\right)^4x\right)[/tex]

Simplify:

[tex]=4\left(\left(3x-2\right)^5+15x\left(3x-2\right)^4\right)[/tex]

Answer:

[tex]=4\left(\left(3x-2\right)^5+15x\left(3x-2\right)^4\right)[/tex]

Questlon 14 of 25 What is the slope of the line containing (-3, 1) and (1, -2)? O A. A - 3 O B. 4 O c. - 3 4 O D. SUBMIT

Answers

Answer:

C - 3/4

Step-by-step explanation:

For each expression, select all equivalent from the list.

(a) 9x-5x+8x
(b) 9(1+7y)

Answers

Answer:

a)12x

b)9+63y

goodluck

The vertical height in feet of a projectile on a planet in our solar system at a given time t in seconds is represented by the function h(t)=−6t2+24t . Re-write h(t) in the form h(t)=a(t-h)^2+k and determine the maximum height of the projectile. Show all work.

Answers

We are given the following function:

[tex]h(t)=-6t^2+24t[/tex]

We will take "-6" as a common factor:

[tex]h(t)=-6(t^2-4t)[/tex]

Now, we will complete the square in the expression inside the parenthesis by adding and subtracting the following term:

[tex]undefined[/tex]

Let f (2) = x? and g(2) r” and g(2) = 77 - 2. What is (fog)(x)? What is (fog)(0)?

Answers

This is function composition, so:

[tex]\begin{gathered} f(x)=x^2,g(x)=\sqrt[]{7-x}\text{ } \\ (f\circ g)(x)=f(g(x))=g(x)^2=(\sqrt[]{7-x})^2 \\ (f\circ g)(x)=(\sqrt[]{7-x})^2 \end{gathered}[/tex]

And (f o g)(0) is:

[tex]\begin{gathered} (f\circ g)(0)=(\sqrt[]{7-0})^2 \\ (f\circ g)(0)=(\sqrt[]{7})^2=7^{} \end{gathered}[/tex]

The answer is (f o g)(0) = 7

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