How can we use ratios and proportional relationships to help us in our daily lives?

Answers

Answer 1

Answer:

In cooking (recipes).

Step-by-step explanation:

If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.


Related Questions

use the function y=3/2x+3 to complete the table of values

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x                     y

9                    4

6                    2

0                    -2

-3                   -4

If the temperature outside increases by 3 1/2 degrees every 1 1/2 hours, by how much will the temperature increase after 4 hours?

please answer in fractions.

Part 1:

What is the rate per hour of the temperature increase?

Part 2:

How much will the temperature increase after 4 hours?

Answers

Answer:

Part 1:    7/3 degrees/hour

Part 2:    28/3 degrees

Step-by-step explanation:

Part 1:

3 1/2 degrees per 1 1/2 hours =

= (3 1/2)/(1 1/2)

= (7/2) / (3/2)

= 7/2 * 2/3

= 7/3 degrees/hour

The rate is 7/3 degree per hour

Part 2:

In 4 hours, the temperature goes up 4 times what it goes up in 1 hour.

4 hours * 7/3 degree/hour = 28/3 degrees

Find an equation for the line perpendicular to 4 x + 12 y = 96 and goes through the point ( − 3 , 4 ) . Write your answer in the form y = m x + b .

Answers

Answer:

y= 3/4x + 6.4

Step-by-step explanation:

If your teacher asks why it's so specific tell them you used desmos <3

a scientist mixes water (containing no salt) with a solution that contains 30% salt. she wants to obtain 210 ounces of a mixture that is 5% salt. how many ounces of water and how many ounces of the 30% salt solution should she use?

Answers

Answer:

er n4356463

Step-by-step explanation:

I think that she should use about 12 ounces

what is the solution (x,y) to the system of equations? x=10 3x+5y=20​

Answers

Answer:

(10, -2)

Step-by-step explanation:

x = 10 (its given in the problem)

then plug in 10 for x in the second equation and solve for y

3(10) + 5y = 20

30 + 5y = 20

5y = -10

y = -2

so the solution is (10, -2)

what method is this?

Answers

Answer : nothing
Explaination : “ Nothing Method ” is found by someone in this world

Your principal amount is $450 your interest rate is 6% and your time is 8 years what is your interest earned after eight years what is your new total amount earned after 8 years

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Principal= $450

Number of periods= 8 years

Interest rate= 6%

We will determine the interest earned and future value using simple interest and compound interest:

Simple interest:

I= P*r*t

I= 450*0.06*8= $216

Total Future Value= I + P

Total Future Value= 216 + 450= $666

Compound interest:

I= [P*(1+r)^t] - P

I= [450*(1.06^8)] - 450= $267.23

Total Future Value= P*(1+r)^t

Total Future Value= 450*1.06^8

Total Future Value= $717.23

Answer:

Step-by-step explanation:

6

pls help with this problem.

Answers

Answer:

23 is the answer

Step-by-step explanation:

i holed this helped

Answer : -12

a = 4x

plug in the numbers for a and x

3 - 4(-5)

3-15

-12

Hope this helps!!!

Please answer!!!! And show work if possible!!!!! ​

Answers

Step-by-step explanation:

Triangles ABX and DCX are similar.

Since they are similar, AX/DX = AB/DC.

Hence AX/2.8 = 8/4 and AX = 5.6.

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?

Answers

Answer:

Line C

Step-by-step explanation:

slope

Answer:line c

Step-by-step explanation:

A car drives 195 miles in 3 hours and 15 minuits. What is the average speed of the car?

Answers

Answer: [tex]61.9miles/hr[/tex]

Step-by-step explanation:

given data:

distance travelled by the car =  195 miles

time taken = 3 hours and 15mins

solution

average speed of the car

[tex]= \frac{195miles}{3hrs15mins} \\\\= 61.9miles/hr[/tex]

Answer:

The average speed is [tex]v=60 miles/h[/tex]

Step-by-step explanation:

The equation of the average speed os given by:

[tex]v=\frac{\Delta x}{\Delta t}[/tex] (1)

here:

Δx is just 195 miles

Δt is the time traveled. 3.25 h ( 3 h + 15 min or 0.25 h)  

So we just need to put this into the equation (1)

[tex]v=\frac{195}{3.25}[/tex]

Therefore, the average speed is [tex]v=60 miles/h[/tex]

I hope it helps you!

Write an equation for the nth term of the arithmetic sequence.
2, 5, 8, 11, ...

Answers

Answer:

An equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

Step-by-step explanation:

Given the sequence

2,5,8,11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

here

a₁ = 2

computing the differences of all the adjacent terms

d = 5-2 = 3, d = 8-5=3, d=11-8=3

Using the nth term formula

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 2, d = 3

[tex]a_n=2+\left(n-1\right)3[/tex]

     [tex]=2+3n-3[/tex]

     [tex]=3n-1[/tex]

Thus, an equation for the nth term of the arithmetic sequence.

[tex]a_n=3n-1[/tex]

100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.

Answers

Answer:

B

Step-by-step explanation:

The total change in position is represented by a number with a magnitude of 155 feet.

Hope this helps!

xoxo,

cafeology

Find the slope of a line that goes through the points (-5,8) and (-7,-5)

Answers

Answer:

[tex]m=\frac{13}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-5, 8)

Point (-7, -5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute [SF]:                    [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add:                      [tex]m=\frac{-13}{-2}[/tex]Simplify:                               [tex]m=\frac{13}{2}[/tex]

Answer:

we will use the equation

(y2-y1)/ (x2-x1)

lets plug in our values

(-5-8)/(-7-(-5)

-13/-2

this answer is your slope value hope this helps

Step-by-step explanation:

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
x+6-5=8-2

Answers

I have no idea but good luck

Good luck tho

Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075

Answers

Gfeedyyhres1234ffhhtfy

Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.

4x+3y≥12

Answers

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation

I need help please!! ​

Answers

y=-2x+5 that is your function

Answer:

y=-2x+5

Step-by-step explanation:

thats the equation because you use the formula, y=mx+b. b is the y intercept (the verticle straight line) and m is the slope. hope this helped!!

How many real and imaginary roots are there?

Answers

Answer:

5

Step-by-step explanation:

13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?

Answers

Answer:the number is 8

Step-by-step explanation:

Step 1

Let x be the number  13 was subtracted from so  that the difference becomes x-13

i.  dividing  the resulting difference by 5, then  (x-13)/5

ii.  Multiplying  the quotient by 7 makes  the expression become (x-13)/5 x 7

 with the product coming  to -7  we have our final equation as

(x-13)/5 x 7 = -7

Step 2 -----solving  the equation

(x-13)/5 x 7 = -7

Ist  divide  both sides by 7,

(x-13)/5 =-1

cross multiplying gives

x-13=-5

x= -5+ 13

x=8

the number is 8

Find the distance between the point A(-4,3) and B(1,6)​

Answers

Answer:

The distance would be (5,-3)

The answer would be (5,-3) your welcome

HELP PLEASEEE OVERDUE (show work) will give BRAINLIEST ! :)

Answers

Answer:

2/7 I Don't know the other one

here you go, hope that helps some

Mindy bought 1¾ pounds of candy for herself and for each of three friends while she was at the candy store. How many pounds of candy did she buy?

Answers

Answer:

Mindy bought 7 pounds of candy.

Step-by-step explanation:

In order to solve this question we need to understand that based on the question itself there is 4 people (Mindy and the three friends) that each have [tex]1\frac{3}{4}[/tex] pound of candy. Now if you image in that way you see that in order to understand how much pounds of candy Mindy bought you will have to multiply [tex]1\frac{3}{4}[/tex] by 4 (because there is 4 people who got [tex]1\frac{3}{4}[/tex]  pounds of candy each).

So now we can find the answer by doing the following.....

[tex](1\frac{3}{4} )(4) = ( \frac{7}{4})(\frac{4}{1}) = \frac{(7)(4)}{(4)(1)} = \frac{28}{4} = 7[/tex]

Write an equation of the line with a slope of 3 and a y-intercept of -7.​

Answers

y=mx+b. m is the slope and b is the y intercept, which means the equation would be y=3x-7

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=3x-7

HELP!Please answer these for me?:)))

Answers

Answer:

You didn’t explain what we had to do....

Step-by-step explanation:

I’m not really sure...I’m sorry

Numerical pruun
a. Convert the following.
i) 2.4 millimetres into metre
i​

Answers

2.4 millimetres into meter is 0.0024.

Answer:

0.0024 meters

Step-by-step explanation:

Using conversion.

Hope this helps!

xoxo,

cafeology

Alejandro is renting a car to visit his cousin for seven days. The rental car company charges him $199 for the week plus $0.32 per mile driven. Alejandro has $350 to spend on the rental car fees. Write an inequality to determine how many miles Alejandro can afford to drive.

Answers

Answer:

(199+0.32)minus 350

Step-by-step explanation:

199 is the cost plus fee per mile 0.32 subtract 350 to see if he can afford it

If an object on earth weighs 42 lbs, what is its weight on the moon?

Answers

Answer:

6.93 lbs.

Step-by-step explanation:

The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.

I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.

Hope this helps! :)

Tominka use 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet. How many necklaces and bracelet sets can she make if she uses 28 1/3 inches of wire in all?

Answers

Answer:  3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

Step-by-step explanation:

step 1

LET  I set of necklace and bracelet be represented as ( A bracelet and a necklace)

 if Tominka uses 6 1/9 inches of wire to make a necklace and 3 1/3 of wire to make a bracelet  for a set

Then Total Length of wire that can be used for a set = 6 1/9 inches+ 3 1/3 inches = 9 (1+ 3)/9

= 9 4/9 inches.

Step 2

IF  a set (One necklace and bracelet) can use = 9 4/9 inches

and Total wire used = 28 1/3inches

Then Number of  necklaces and bracelet sets that can be made  from the 28 1/3 inches wire = 28 1/3inches /9 4/9 inches

=85/3 / 85/ 9  = 85/3  x 9/ 85  = ( 85 cancels 85 )

9/3 = 3

 3 necklaces and bracelet sets can be made from the  28 1/3 inches of wire.

what abiotic factor is changing the ecosystem of Lake Washington,and how has this factor changed over time.​

Answers

Answer:

Step-by-step explanation:

Temperature is the abiotic factor that is changing the ecosystem. Both the top layer temperature and the overall temperature of the lake are increasing. The warmer temperatures have delayed the yearly springtime mixing of warm and cold water in the lake.

Other Questions
O A. Es una grapadora.O B. Es un cartel.C. Es una puerta.D. Es un mapa. Which of the following details is present in the texts and in the visual depiction of the myth?A. Prometheus steals the holy fire from the gods and teaches man how to use it.B. Prometheus moans in distress as he slowly freezes in the bitter, cold night.C. Prometheus is chained to a rock on the cliff and a bird attacks him.D. Prometheus and Zeus argue over man's right to use fire as a source of knowledge. URGENT The table shows the derivation of tan(2x). Select thecorrect reason for each step.Reason 1 isReason 2 isReason 3 is How many moles of N2O5 are neededto produce 7.90 g of NO2? 8> -1; Subtract 8 from both sides. A species of kangaroo has a diploid chromosome number of 16. After meiosis, to develop the kangaroos sperm or egg, the haploid number would be . When fertilization occurs, the zygote would again have 16 chromosomes. what is the equation of the line Help is this correct !!!?? The diagram below shows the main parts of the respiratory system.Nosech3LungsDiaphragmWhich of these correctly names the parts of the respiratory system numbered 1through 5 in the diagram above?A 1. larynx, 2. pharynx, 3. trachea, 4. bronchi, 5. alveoliB 1. pharynx, 2. larynx, 3. trachea, 4. bronchi, 5. alveoliC 1. pharynx, 2. larynx, 3. bronchi, 4. trachea, 5. alveoli What is the 20th term for the following sequence?3,-9, 27,-81, ... sin^2a-sin^2b=cos^2b-cos^2a EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E What was one of the primary goals of the Pan-African Movement in the twentieth century? Lenny loves physics and math. In which Energy career pathway would these interests be the most helpful?O DistributionO GenerationO AnalysisO Transmission which organization is helping the poor of colombia,s coffee plantation Depreciation--Jerry Company purchased machinery for $315,000 on May 1,2020 . It is estimated that it will have an useful life of 5 years, and a salvage value of $15,000. the machine is expected to last 100,000 hours. The machine was used for 25,000 hours the first year. What is the depreciation for the first year assuming working hours method (activity method) is expected to be used VY=27. VZ = 18, and Ww=8, find WXWZ PLS HELP ASAPWhich statement is correct for Triangle ABC. and Triangle A prime B prime C prime.? Triangle ABC is similar to triangle A prime B prime C prime. because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 3. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 90 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees Triangle ABC is similar to triangle A prime B prime C prime., because Triangle A prime B prime C prime. is obtained by dilating Triangle ABC. by a scale factor of 1 over 6. and then rotating it about the origin by 90 degrees Which of the following is the best way to overcome an addiction to smoking tobacco? name one game played at Scrooge and nephews Christmas celebration