Mathematics High School

You are serving bratwurst and hamburgers at your annual picnic. You want at least three bratwursts or hamburgers for each of your 35 guests. Bratwursts cost $1.3 each and hamburgers $1.2 each. Your budget is $150

Answers

Answer 1

Total cost of bratwursts + Total cost of hamburgers ≤ 150

that is 1.3x + 1.2y ≤ 150

Given,

The total number of guests = 35

Minimum number of bratwursts or hamburgers each one need = 3

The cost of bratwursts = $1.3 each

The cost of hamburgers = $1.2 each

Total budget = $150

We can take number of bratwursts as x and number of hamburgers as y.

Lets check.

Each guest need at least three food items = 35 × 3 = 105

That is, you need more than 105 food items.

So,

x + y ≥ 105

Lets see,

Total cost for bratwursts = 1.3x

Total cost for hamburgers = 1.2y

Now, your total budget is $150. So, the cost of food items must be less than or equal to 150.

That is,

Total cost of bratwursts + Total cost of hamburgers ≤ 150

1.3x + 1.2y ≤ 150

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Related Questions

The temperature of a day at the end of winter starts in the morning at -2 degrees Fahrenheit. The weather report notes that the temperature increases 10 degrees
by midday. At 5:00 pm, the temperature has doubled since midday. What was the temperature at 5:00 pm?

A 24 degrees

B16 degrees

C-16 degrees

D10 degrees

Answers

Answer:

B. 16 degrees

Step-by-step explanation:

First, we find temperature at miday:

- 2 (Temperature at morning) + 10 (Increase in temperature by midday) = 8 degrees (Temperature at midday)

Now, for temperature at 5:00 pm:

8 x 2 (At 5 pm temperature is double since midday) = 16 degrees (Temperature at 5:00 pm)

Answer:

B 16 degrees

Step-by-step explanation:

Find the temperature

We start at -2

We increase 10 degrees by noon

-2 + 10 = 8

at 5pm the temperature doubles

8*2 = 16

Write an equation for the line parallel to the given line that contains C.
C(4,6); y=x+7
The equation of the parallel line is….

Answers

The equation of the parallel line is y = x + 2.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The point = C(4, 6)

And, equation of line is y = x + 7

Since, Slope of Parallel lines are always same.

So, The slope of the given line is calculated as;

y = x + 7

m = dy/dx = 1

Thus, Slope of parallel lines is 1.

Since, The equation of line is passes through point C (4, 6).

So, The equation of line with slope(m) 1 and point C(4, 6) is;

y - 6 = 1 (x - 4)

y - 6 = x - 4

y = x - 4 + 6

y = x + 2

Thus, The equation of the parallel line is y = x + 2.

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PLEASE HELP ME!!! *correct answer will get brainlist*

Answers

I think y=4 and x=(-2)

Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe

Answers

Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.

What is Word form?

The written format or the word format of any number provided is called as its word form.

In this question, we are asked to find out the word form of 290.1 and 7,035.486.

290.1 in word form can be written as Two Hundred and ninety point one.

7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.

What is Plural form?

Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.

The plural forms of the asked nouns have been specified as above already.

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PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table? PLEASE ANSWER BOTH Y AXIS AND SLOPE! And please give an explanation if possible

Answers

Answer:

24 and 11

Step-by-step explanation:

See attached worksheet.

which measurements are equivalent to 3 yards

Answers

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

Given the function f(x) = 8x + 7, find each of the following. f(1), f(-9), f(0)

Answers

IN THE PLACE OF X YOU INSERT THE NUMBER GIVEN AS F(X<<<) AND SIMPLIFY .

[tex]f(1) = 8(1) + 7 \\ f(1) = 8+ 7 \\ f(1) = 15[/tex]

[tex]f( - 9) = 8( - 9) + 7 \\ f( - 9) = - 72 + 7 \\ f( - 9) = - 65[/tex]

[tex]f(0) = 8(0) + 7 \\ f(0) = 0 + 7 \\ f(0) = 7[/tex]

GOODLUCK !!

1 (a). Determine if each of the following is true or false. Explain your reasoning.i. There are 12 cubic inches in a cubic foot.ii. There are 144 squares inches in a square foot. iii. If I triple the length and width of a rectangle, then the area increase by a factor of 3.iv. If I triple the length and width and height of a cube, then the volume increases by a factor of 27.

Answers

(i)

1 cubic foot is equivalent to 1728 cubic inches, this is why the statement is false.

(ii)

1 square foot is equivalent to 144 square inches, so the second statement is also false.

(iii)

The third statement is also false because if we triple both dimensions of a rectangle, the area will be increased by a factor of 9.

[tex]A=3w\times3l=9wl[/tex](iv)

This statement is true because when we multiply 3x3x3 we actually get a factor of 27

[tex]V=3w\times3l\times3h=27\text{wlh}[/tex]

Keenan travels 14 miles per hour. How long does it take him to travel 70 miles? Your answer should be in hours, accurate to at least the
nearest tenth.

Answers

Answer: 5 Hours

Step-by-step explanation:

14 miles x 5 hours = 70miles in 5 hours.

Hope this helps!

Evaluate the following equation when x = {1, 2, 3, 4, 5} by filling in the table with the correct values for the function f (x) = (-3)^x

Answers

Step-by-step explanation:

In x you can put the value which can given in question.

What is the least common denominator of 1/2x+1=1/4x-6

Answers

Answer:

The least common denominator for 1/2 and 1/4 is 4.

1/2 --> 2/4

Step-by-step explanation:

Hope this helps!

Pls brainliest, tysm!

Select the correct answer. Consider the function f(x) = 3x and the function g, which is shown below. How will the graph of g differ from the graph of f? A. The graph of g is the graph of f shifted 2 units up. B. The graph of g is the graph of f shifted 2 units to the left. C. The graph of g is the graph of f shifted 2 units to the right. D. The graph of g is the graph of f shifted 2 units down.

Answers

The graph of g will differ from the graph of f as the graph of g is the graph of f shifted 2 units to the right. Option C

This is further explained below.

What is a function?

A relation between a collection of inputs and one output for each of those inputs is the definition of a function.

A function is a connection between inputs in which each input is associated with precisely one output.

To put it another way, a function is a relationship between inputs. Each function has both a domain and a codomain or range that it operates inside.

Generally, The progression towards

g(x) = f(x -h) +k

depicts a translation with k units added on top and h units added to the right.

Since you have h equal to 0 and k equal to -2, this means that the graph is moved 0 units to the right and 2 units in the opposite direction of up.

The graph of g may be found by shifting f's graph down by two units.

Answers

4
y
+
3
z
=
19
−
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+
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=
27
x
−
3
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4
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-
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=
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x
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divide
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19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: