Mathematics High School

Pls let me see the work!!

Answers

Answer 1

The recipe for the waffles presented using rational numbers are as follows;

1. The recipe for 2 waffles is as follows;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{15} [/tex] Cup of butter

2. The recipe for 5 waffles is as follows;

[tex] \displaystyle 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{6} [/tex] Cup of butter

3. The recipe for 300 waffles is as follows;

900 cups of flour

200 teaspoon of salt

1200 teaspoons of baking powder

525 Cups of milk

100 Cup of butter

4. The required number of waffle irons is 50

5. It would take approximately 6 servers

It would take 34 trips

What is a rational number?

A rational number is one that can be expressed as a fraction.

From the given table, we have;

The recipe for 10 waffles includes;

3 cups of flour

[tex] \displaystyle \frac{2}{3} [/tex] teaspoon of salt

4 teaspoons of baking powder

[tex] \displaystyle 1\frac{3}{4} [/tex] Cups of milk

[tex] \displaystyle \frac{1}{3} [/tex] Cup of butter

1. To make 2 waffles, we have;

[tex] \displaystyle 2 = \frac{10}{5} [/tex]

Dividing each of the quantities required to make 10 waffles by 5 gives;

[tex] \displaystyle \frac{3}{5} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 5} = \frac{2}{15} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{5} [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{5} = \frac{7}{20} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{5} = \frac{1}{15} [/tex] Cup of butter

2. If each person gets 1 waffle, we have;

Number of waffles = 1 + 4 = 5

[tex] \displaystyle 5 = \frac{10}{2} [/tex]

Dividing the recipe for 10 waffles by 2 gives;

[tex] \displaystyle \frac{3}{2} = 1\frac{1}{2} [/tex] cups of flour

[tex] \displaystyle \frac{2}{3 \times 2} = \frac{1}{3} [/tex] teaspoon of salt

[tex] \displaystyle \frac{4}{2} = 2 [/tex] teaspoons of baking powder

[tex] \displaystyle \frac{1\frac{3}{4}}{2} = \frac{7}{8} [/tex] Cups of milk

[tex] \displaystyle \frac{\frac{1}{3}}{2} = \frac{1}{6} [/tex] Cup of butter

3. When each of 300 people can have one, the number of waffles is 300, which gives;

30 × 10 = 300

Multiplying the quantity of each ingredients required to make 10 waffles by 300 gives;

300× 3 = 900 cups of flour

[tex] \displaystyle 300 \times \frac{2}{3} = 200 [/tex] teaspoon of salt

300 × 4 = 1200 teaspoons of baking powder

[tex] \displaystyle 300 \times 1\frac{3}{4} = 525 [/tex] Cups of milk

[tex] \displaystyle 300 \times \frac{1}{3} = 100 [/tex] Cup of butter

4. Time it takes to cook a waffle = 10 minutes

Number of waffles required = 300

Time allowed = 1 hour = 60 minutes

The number of waffle iron is therefore;

[tex] \displaystyle {n = \frac{300 \times 10}{60} = 50} [/tex]

The number of waffle irons required is 50 waffle irons

5. Number of waffles each server can deliver = 9 waffles

The time it takes each server per trip = 10 minutes

Number of waffles to be delivered = 300

Time in which to deliver the 300 waffles = 1 hour

The number of servers is therefore;

[tex] \displaystyle {n = \frac{300}{9 \times 6} = 5. \overline 5 \approx 6} [/tex]

The number of trips is therefore;

5 servers will deliver 5×9×6 = 270

The sixth server will deliver the remaining 300 - 270 = 30 waffles in 30 ÷ 9 = 3.3 ≈ 4

The number of trips all together is therefore; 5×6 + 4 = 34 trips

Learn more about rational numbers on mathematics here:

https://brainly.com/question/19079438

#SPJ1

Related Questions

The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?

Answers

Answer:

Step-by-step explanation:

40.833 recurring and 9.166 recurring

or 40 5/6 and 9 1/6

Call the small number 's'

Call the big number 'b'

The word problem says:

B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B

So, 5S-5=B=50-S

Therefore 6S=55 and the rest history!

Answer:

Step-by-step explanation:

I need explanation with this problem been struggling and it's practice for my exam coming up this semester

Answers

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

[tex]\begin{gathered} f\text{ + l = 2} \\ 90\text{ f + 60l = 160} \end{gathered}[/tex]

So, we proceed to solve these equations simultaneously

[tex]\begin{gathered} \text{from equation i, f = 2-l} \\ \text{substitute this into i}i \\ 90(2-l)\text{ + 60l = 160} \\ 180-90l\text{ + 60l = 160} \\ 30l\text{ = 180-160} \\ 30l\text{ = 20} \\ l\text{ = }\frac{20}{30} \\ \\ l\text{ = }\frac{2}{3}\text{ hours} \end{gathered}[/tex]

To get f, we simply substitute l into the first part of the equations;

[tex]\begin{gathered} \text{from; f = 2-l} \\ \\ f\text{ = 2-}\frac{2}{3} \\ f\text{ = }\frac{4}{3}\text{ hours} \end{gathered}[/tex]

Since an hour is 60 minutes;

[tex]\begin{gathered} l\text{ = }\frac{2}{3}\times\text{ 60 = 40 minutes} \\ \\ f\text{ = }\frac{4}{3}\times60\text{ = 80 minutes} \end{gathered}[/tex]

explain how you got the answer

Answers

Slope - 2/3

y - intercept : (0,3)

x | y

0 | 3

3 | 1

what is the radius of the circle?

Answers

Answer:

7 units

Step-by-step explanation:

Hello!

The radius of a circle is the distance from the center of the circle to it's outer edge.

The radius of this circle is 7 units, as the distance from the center to the outer edge is 7.

Answer:

7 units

Step-by-step explanation:

count from the center to the circle to one of the sides which is 7 units

Let g(x) be the transformation, vertical translation 5 units down, of f(x)= 3x+9. Write the rule for g(x).

Answers

We can see the next function:

[tex]f(x)=3x+9[/tex]

And we need to translate this function 5 units down, which results in the function g(x).

To find the rule for g(x), we can follow the next steps:

1. We know that the general rule for a function translated k units down is given by:

[tex]f(x)-k\rightarrow\text{ f\lparen x\rparen has been translated by k units down \lparen where k > 0\rparen.}[/tex]

2. Then if we translate the original function by 5 units down, we will have that:

[tex]\begin{gathered} f(x)=3x+9 \\ \\ \\ f(x)-5=3x+9-5\rightarrow g(x) \\ \\ \end{gathered}[/tex]

3. Therefore, g(x) will be:

[tex]\begin{gathered} g(x)=3x+9-5=3x+4 \\ \\ g(x)=3x+4 \end{gathered}[/tex]

Hence, in summary, we have that the rule for g(x) is g(x) = 3x + 4 (option A).

The equation for line s can be written as y = 3/10x + 8. Line t is parallel to lines and passes through (-7, -2). What is the equation of line t? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

Answers

A line's equation written using a single point on the line and the line's slope is referred to as the point-slope form. The slope is the rise over run, or the ratio of the change in the y values over the change in the x values, and the point form is denoted as (x,y).

What is the line's slope-intercept form?The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

y= 3 / 10x + 8

The slope-intercept form is

y=mx+b, where

m is the slope and b is the y-intercept.

y=mx+b

Reorder terms

y=3/ 10x+8

Use the slope-intercept form to find the slope and y-intercept.Using the formula y = m x + b, determine the values of m and b.

m=3/10 b=8

The value of m represents the line's slope, and the value of b represents the y-intercept.

Slope: 3/ 10, and the y-intercept is at (0, 8).

Two points can be used to graph any line. To determine the corresponding y values, enter the equation with two chosen x values.Phrase reordering y = 3 /10 x + 8The x and y values should be put into a table.

x y

0 8

10 11.

To Learn more about line's equation refer to:

https://brainly.com/question/18831322

#SPJ1

-7/9y = -42 solve for y and simplify your answer as much as possible. please answer this

Answers

Answer:

y = 54

Step-by-step explanation:

a) Multiply both sides by 9/(-7).

(9/-7) * (-7/9 y) = (9/-7) * (-42)

y = 54

Simone Buys A shirt and a hat. The hat costs 6 the shirt costs 5 times as much as the hat. How much more does the shirt cost than the hat? Break up the problem and two small steps use a more models and equation to complete each step find how much to shirt cost find how much more shirt cause then the hat

Answers

The equation to find the cost of the shirt is s = 5h and the cost is 30.

What is an equation?

An mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario

Cost of the hat = 6

The shirt costs 5 times as much as the hat. Therefore, this will be:

s = 5h

where s = cost of shirt

h = cost of hat

The cost will be:

s = 5h

s = 5 × 6

s = 30.

The cost is 30.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

You will just add 6+5=11

It costs $2.50 to rent bowling shoes. Each game $2.25. Write an equation that represents the cost, c, to bowl after g, number of games

Answers

In linear equation, $9.25, you can bowl a maximum of 3 games.

What in mathematics is a linear equation?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). The dependent variable in this scenario is y since it depends on the independent variable, x.

If it costs $2.50 to rent bowling shows and each game costs $2.25, then the total cost of playing x bowling games can be represented as

C = 2.50 + 2.50x

If you have a total of $9.25, then

9.25 = 2.50 + 2.25x

Subtracting 2.50 from both sides of the equation, we get

9.25 - 2.50 = 2.50 + 2.25x - 2.25

6.75 = 2.25x

Dividing both sides of the equation by 2.25, we get

6.75/2.25 = 2.25x/2.25

x = 3

Therefore, with $9.25, you can bowl a maximum of 3 games.

Learn more about linear equation

brainly.com/question/11897796

#SPJ13

Which pair of statements about the lengths of two sides of the triangle is true? 10 9 8 D (8,7) 7 л д) 4 3 2 1 X F(6, 1) 2 3 4 5 6 E (8.1) 8 9 10 1 7 O A. The side length between Dand Eis 7 units. The side length between Eand Fis 2 units. O B. The side length between D and Eis 6 units. The side length between E and Fis 2 units. O C. The side length between D and Eis 2 units. The side length between E and Fis 6 units. O D. The side length between D and Eis 8 units. The side length between Eand Fis 1 units.

Answers

Answer:

Choice B.

Explanation:

The side length is the distance between the vertices of the triangle given.

Courtney used 1650 inches of ribbon to make 300 hair bows all the same size. how many inches of ribbon does she need to make 1 bow?

Answers

Answer:

5.5 inches

Step-by-step explanation: if you divide it, u will get 5.5 inches

Lena purchased a prepaid phone card for 30.50 . calls cost 15 cents a minute using this card. the credit, c (in dollars), left on the card after it is used for minutes of calls is given by the following. how much credit is left on the card after lena uses it for 15 minutes of calls?

Answers

Only $28.25 are available. After Lena uses the card for 15 minutes of calls, there are still 28.25 credits left.

Given that,

Lena spent $30.50 on a prepaid phone card. With this card, calls cost 15 cents each minute. the amount of credit, c (in dollars), remaining on the card following x minutes of calls

It can be written as,

C(x) = 30.50 - 0.15x

C(x) = 30.50-(0.15 x 15)

after Lena uses it for 15 minutes,

C(x) = 30.50 – 2.25 = $28.25 in remaining credits.

Learn more about credits click here :

https://brainly.com/question/15135221

#SPJ4

What is the y value of the y-intercept of the line that contains the points (-8,-5)
and (10, 67)?

Answers

We will see that the linear equation that passes through the two given points is:

y = 4x + 28

So the y-intercept is y = 28.

How to find the y-intercept of the line?

First, we need to find the linear equation that passes through the two given points. Remember that for a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

m = (y₂ - y₁)/(x₂ - x₁)

Here our line passes through (-8,-5) and (10, 67), then the slope is:

m = (67 + 5)/(10 + 8) = 4

So we can write:

y = 4*x + b

To find the value of b we can use the point (-8,-5), replacing these values we get:

-5 = 4*-8 + b

-4 + 4*8 = b

28 = b

So the y-intercept is 28.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

will mark branliest
Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

Answers

Which graph shows the circle whose equation is (x−1)2+(y+3)2=16?

circle formula:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given:

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

put into circle formal format:

[tex](x-h)^{2} +(y-k)^{2} =r^{2}\\(x-1)^{2} +(y-(-3))^{2} =4^{2}[/tex]

The center of the circle is at point (h,k)

[tex](x-1)^{2} +(y+3)^{2} =4^{2}[/tex]

center should be at: (1,-3)

Answer:

lower row, left grid.

Answer:

Lower left, bottm, circle

Step-by-step explanation:

See attached graph

a lecture hall at nc state has 220 seats with fold-down writing pedestals, 25 of which are designed for left-handers. an intro. to economics class with 215 students meets in this lecture hall. assume that 13% of the general population is left-handed. question 1. what is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander? (use 4 decimal places.) question 2. what is the probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander? (use 3 decimal places.)

Answers

1) There exists a 3.82% probability that at least one right-handed student in this class is forced to utilize a seat designed for a left-hander.

2) There exists a 68.35% probability that at least one left-handed student in this class is forced to use a seat designed for a right-hander.

What is meant by Binomial probability distribution?

The binomial probability exists the probability of exactly x successes on n repeated trials, and X can only contain two outcomes.

[tex]$P(X=x)=C_{n, x} \cdot \pi^x .(1-\pi)^{n-x}$$[/tex]

In which [tex]$C_{n, x}$[/tex] exists the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]$C_{n, x}=\frac{n !}{x !(n-x) !}[/tex]

And π exists the probability of X happening.

Given: 13 % of the students are left-handed and 100 - 13 = 87 % are right handed.

There are 220 sets. Of them, 25 exists designed for left handers and 220-25 = 195 for right handers.

There are 215 students, so n = 215.

In this case, a success is a student being right-handed. So [tex]$\pi=0.87$[/tex].

There are 195 seats for right handed students. If there are 196 or more right handed students, they will have to use a seat designed for a left hander. We have to find [tex]$P(X \geq 196)$[/tex]. Utilizing a binomial probability calculator, we find that [tex]$P(X \geq 196)=0.0382$[/tex]

So, there is a 3.82 % probability that at least one right-handed student in this class exists forced to utilize a seat designed for a left-hander.

There are 25 seats for left-handed students. If there exists 26 , or more, at least one exists going to be forced to utilize a seat designed for a right-hander.

In this case, a success is a student being left-handed. So [tex]$\pi=0.13$[/tex].

We have to find [tex]$P(X \geq 26)$[/tex].

Using a binomial probability calculator, we have that [tex]$P(X \geq 26)=0.6835$[/tex]

There exists a 68.35 % probability that at least one left-handed student in this class is forced to utilize a seat designed for a right-hander.

To learn more about Binomial probability distribution refer to:

https://brainly.com/question/9325204

#SPJ4

how much rupees of 12 1/2% is Rs.45

Answers

Answer: Rs. 360

Step-by-step explanation:

let x of 12 1/2%=45

=> x.25/200=45

=> x/8=45

=> x=45.8

=> x=360

it is Rs 360

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The two equations that are true when x = -2 and x = 2 are x^2 - 4 = 0 and 4x^2 = 16.

We have given x = 2 and x = -2

Substitute the values in the given equations

Equation 1

x^2 - 4 = 0

Substitute x = 2 in LHS, we get

2^2-4 = 4 - 4 = 0 = RHS