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

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

Answers

Answer:

9.8 because of the rate that is given

Step-by-step explanation:

use a proportion to find the length of side x for the pair of similar figures

Answers

Answer:

30.8

Step-by-step explanation:

1. Write the ratio for the smaller triangle as 14/10 and the ratio for the larger triangle as x/22.

2. Set the ratios equal to each other.

14/10 = x/22

3. Cross multiply and solve for x.

14 x 22 = 308

10 x x = 10x

4. Divide by 10

x = 30.8

Answer:

30.8cm they are correct

Step-by-step explanation:

i am from connexus 8th grd pre algrabra

unit 5 lesson 3

1. 1:2

2. C. yes they are similar they have porportional side lengths and = ange measures

3. x = 4.5m

4. x = 30.8cm

5. x = 6 m


solve for x
29=4x-11

Answers

The correct answer for this would be X=10

Answer:

The Right Answer is  X=10

-75x/4>14/2 I don't get this can someone help me with this?

Answers

Is this the equation ur supposed to solve because the question was a little bit messy

[tex] \frac{ - 75x}{4} > \frac{14}{2} [/tex]

Answer

Which function is quadratic?

Function f is defined by f(x) = 1.5^x. Function g is defined by g(x) = 500x^2 + 345x

1. Function f
2. Function g

Answers

Answer:

g(x) is a quadratic function ⇒ 2

Step-by-step explanation:

The quadratic function is the function that has 2 as the greatest power of the variable The form of the quadratic function is f(x) = ax² + bx + c, where a, b, and c are constant

Let us use the information above to solve the question

f(x) = [tex]1.5^{x}[/tex]

∵ x is the exponent of the base 1.5

→ That means f(x) is not in the form of the quadratic function

∴ f(x) is not in the form of the quadratic function above

∴ f(x) does not represent a quadratic function

f(x) is not a quadratic function

g(x) = 500x² + 345x

∴ The greatest power of x is 2

→ That means g(x) is in the form of the quadratic function above

∵ g(x) is in the form of the quadratic function above, where a = 500,

   b = 345, and c = 0 (constant values)

∴ g(x) represents a quadratic function

g(x) is a quadratic function

a girl was asked about her age and she said she is half her mothers age and she was asked how old was her mother and she said i dont know but my mom is 5 years younger than my dad and we asked how old is your dad and she said i dont know but the sum of our ages is equal to 100years.how old is the dad ,the mom and the girl?

Answers

Answer: girl- 19yr old  mom- 38yr old dad- 43 yr old

Step-by-step explanation:

5x+5=100

5x-5=100-5

5/5x=95/5

x=19

2(19)=38

38+5=43

help me please and thank you​

Answers

Given:

A line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex].

To find:

The point slope form of the given line.

Solution:

If a line passes through a point [tex](x_1,y_1)[/tex] with slope m, then the slope intercept form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

The line passes through (-2,-6) and has a slope of [tex]\dfrac{1}{3}[/tex]. So, the point slope form of the line is

[tex]y-(-6)=\dfrac{1}{3}(x-(-2))[/tex]

[tex]y+6=\dfrac{1}{3}(x+2)[/tex]

Therefore, the correct option is A.

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number

Answers

Answer:

The answer is below

Step-by-step explanation:

Don has four different chicken coops on his farm. He gathers eggs from each coop every day to sell at the local farmer's market each week. During one week in the summer, the production levels from the coops were compared. • The number of eggs from coop B can be found by subtracting 10 from coop A's production, and then multiplying this result by two-fifths. • The number of eggs from coop C can be found by adding 3 to coop A's production, multiplying this amount by 3, subtracting 4 from this total, and then dividing the whole result by 4. • The number of eggs from coop D can be found by adding 7 to coop A's production, doubling this amount and then dividing the result by 3. A. Define a variable for the number of eggs produced by coop A. Then write expressions for the number of eggs produced by the other coops. B. If coop A produced 125 eggs, how many did each of the other coops produce? C. If the sum of the number of eggs from coop B and coop C was 24 more than the number from coop D. How many eggs did each coop produce

Solution:

a) Let the number of eggs from coop A be w, number of eggs from coop B be x, number of eggs from coop C be y and number of eggs from coop D be z.

x = 2/5(w - 10)             (1)

y = (3(w + 3) - 4)/4

y = (3w + 5) / 4            (2)

z = 2(w + 7)/3              (3)

b) Given that w = 125 eggs:

x = 2/5(125 - 10) = 46 eggs

y = (3(125) + 5) / 4 = 95 eggs        

z = 2(125 + 7)/3 = 88 eggs

c) x + y = z + 24.

i.e.  2/5(w - 10)  + (3w + 5)/ 4  = 2(w + 7)/3  + 24

multiply through by 60:

24w - 240 + 45w + 75 = 40w + 280 + 1440

69w - 165 = 40w + 1580

29w = 1885

w = 65 eggs

x = 2/5(65 - 10) = 22 eggs

y = (3(65) + 5) / 4 = 50 eggs        

z = 2(65 + 7)/3 = 48 eggs

20 POINTS and BRAINLIEST
Solve the simultaneous equation!

Answers

Answer:

x=3   y=-1

Step-by-step explanation:

Answer:

X=3 and

Y=-1

and good luck for your test

What is the 20th term for the following sequence?
3,-9, 27,-81, ...

Answers

Answer: -3486784401

Step-by-step explanation:

This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)

where,

a = 3

r = -9/3 = -3

n = 20

Therefore, ar^(n-1)

= 3 × -3^19

= 3 × -1162261467

= -3486784401

find the percent of the number
105% of 400​

Answers

Answer:

105% of 400 is 420, the percent is 42000%

Step-by-step explanation:

Colton is making gift bags. He has 120 small prizes, and puts 3 in each gift bag. He also has 75 larger prizes,and puts 2 in each gift bag. Write the function f(x) that represents how many prizes Colton has left aftermaking x gift bags.

Answers

Answer: f(x) = 195 - x*5

Step-by-step explanation:

Colton has 120 small prizes and 75 larger prizes.

Then at the start, he has 120 + 75 = 195 prizes.

In each bag, he puts 3 small prizes and 2 larger prizes, then in each bag there are 3 + 2 = 5 prizes.

Then if he fills x bags, he will have: x*5 fewer prizes, then we can write the equation f(x) as:

f(x) = 195 - x*5

Where when x = 0, this means that he filled zero bags, then he has the initial amount of prizes, 195.

5
If you scale up the ratio on the left, what will you get for the unknown quantity on the right?
$155
20hours
$465
?
A) 10 hours
B 40 hours
c) 60 hours
D) 100 hours

Answers

Answer:60hours

Step-by-step explanation:

465/155×4

=60 hours

I need help with this asap, i will mark you brainliest!!

Solve for the value of x

Answers

x=5 because the triangle must keep consistency so 45-30=15
15=30/2 so 10/2=x

A company that makes​ hair-care products had 200 people try a new shampoo. Of the 200 ​people, 12 had a mild allergic reaction. What percent of the people had a mild allergic​ reaction?
A - 16.66666...%
B - 24 people
C - 6%
D - 6 people

Answers

Answer:

24

Step-by-step explanation:

first you multiply 200 by 12, Then you divide that by 100. your final product is 24, hope that helps

Answer:

C. 6%

Step-by-step explanation:

First we need to divide the amount of people who got the allergic reaction by how many people were there.

So: 12 ÷ 200 = 0.06

Now, we need to multiply 0.06 by a whole percent, the whole percent is 100.

So: 0.06 × 100 = 6

6% of the people had a mild allergic reaction.

What is true about the rise of all horizontal lines ?the rise is

Answers

Answer:

left to right

Step-by-step explanation:

Answer:

the slope is 0

Step-by-step explanation:

i know this because i asked a math teacher

1/2 x 3/10 in simplest form

Answers

Answer: 3/10

Step-by-step explanation: 1/2 x 3/10 = 3/20 and we can’t simplify that.

Answer:

The simplest form of 1/2 x 3/10 would be 3/20

If you need it in decimal form it's: 0.15

An algebraic expression that contains variables is called​

Answers

Answer:

An algebraic expression that contains variables is called coefficients.

6 of 10
As an estimation we are told £3 is €4.
Convert €32 to pounds.

Answers

Not for sure what your talking abt lol

21, 31, 41, 51, ... Find S17​

Answers

Answer:

181

Step-by-step explanation:

Answer:

21=

31=

41=

51=

S17=

Evaluate the expression 2ac is a = 1/2 and c = 9.

Answers

Answer:

9

Step-by-step explanation:

the expression is 2ac, so multiply everything together

2 * 1/2 = 1

1 * 9 = 9

please give thanks by clicking the heart button! :)

The answer is nine! Hope this help:)

Which scatterplot demonstrates a non-linear relationship between x and y?

Answers

Answer:

D, or the bottom right.

Step-by-step explanation:

The right lower (U shape) scatter plot : demonstrates a non linear relationship between x & y.

The straight scatter plots denote linear relationships.

The upward sloping curve shows direct or positive linear relationship. The downward sloping curve shows inverse, indirect or negative positive relationship.

The scatter plot parallel to x axis, denotes constant values of y at various levels of x.

The parabolic U shaped curve demonstrates a non linear, ie quadratic relationship between dependent variable y & independent variable x.

To learn more, refer https://brainly.com/question/21839842?referrer=searchResults

Amelia started a puzzle at 12:56 p.m. and solved it at 2:33 p.m.
How long did it take Amelia to solve the puzzle?

Answers

Step-by-step explanation:

12:56pm to 1:00pm = 4 min

1:00pm to 2:00pm = 1 hour

2:00pm to 2:33pm = 33 min

Total time = 4 min + 1 hour + 33 min = 1 hour 37 minutes.

In the first quadrant, you start at (1,3) and move 2 units right What point will you end up on? ​

Answers

Answer:3,3

Step-by-step explanation:

The point on which we will end up on is (3,3).

We are given that;

The starting point (1,3)

Number of units= 2

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

To find the point where you end up after moving 2 units right from (1,3), you need to add 2 to the x-coordinate of (1,3) and keep the y-coordinate the same.

This is because moving right along a horizontal line does not change the y-value, but increases the x-value by the amount of units moved.

(1 + 2, 3) = (3, 3)

Therefore, by algebra the answer will be (3,3).

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

if santa eats 20 chimichangas on christmas eve and 40 chimichangas on christmas day how much did he eat in all

Answers

Answer:

Total he ate 60 chimichangas.

Step-by-step explanation:

Since he ate 20 on christmas eve and 40 on christmas day you would add 20 plus 40 to get a total of 6.

Answer:

60

Step-by-step explanation: santas a xxxxxxxxxxL size in his suit

in conclusion santa is fat

у = 3х – 2
y = — 2х +8
How do I solve it by graphing?

Answers

I just plugged both equations into my calculator and found where they intersect. But you can do the same on paper by manually finding that intersection in the graph which should be (2,4)

Solve for x 2x-10=4x

Answers

Answer:-5

Step-by-step explanation:

2x-10=4x

-10=2x (subtract 2x from both sides)

-10/2=x (divide both sides by 2)

-5=x

Use the picture below to answer questions 14a and 14b

14a) What is the value of x?

14b) What is the measure, in degrees, of angle BDE?

Answers

Answer:

x = 35, ∠ BDE = 130°

Step-by-step explanation:

(4x - 10) and (x + 95) are corresponding angles and are congruent, then

4x - 10 = x + 95 ( subtract x from both sides )

3x - 10 = 95 ( add 10 to both sides )

3x = 105 ( divide both sides by 3 )

x = 35

Thus

∠ BDE = 4x - 10 = 4(35) - 10 = 140 - 10 = 130°

Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m. b One angle is 25° greater than another.

Correct answer gets brainliest!

Answers

Answer:∠1 = ∠3 = ∠5 = ∠7 = 77.5°

∠2 = ∠4 = ∠6 = ∠8 = 102.5°

Step-by-step explanation:

In the picture attached, the parallel lines and the transversal are shown.

8 angles are formed, where:

∠1 ≅ ∠3 ≅ ∠5 ≅ ∠7

∠2 ≅ ∠4 ≅ ∠6 ≅ ∠8

On the other hand, ∠1 + ∠2 = 180°, and ∠2 is 25° greater than ∠1, that is ∠1 + 25° = ∠2, therefore:

∠1 + ∠1 + 25° = 180°

2∠1 = 180° - 25°

∠1 = 155°/2

∠1 = 77.5°

and

∠2 = 77.5° + 25° = 102.5°

Answer:

<1=<5

<4=<8

<2=<6

<3=<7[these all are corresponding angle]

<1=<3

<4=<2

<8=<6

<5=<7 [these all are vertically opposite angle]

a.If one angle is 77°

let<1=70°

than

<1=<5=<7=<3=77°

again

<1+<2=180°[linear pair]

<2=180°-72=98°

Than

<2=<6=<4=<8=98°

b One angle is 25° greater than another.

let <1=x than <2=<x+25°

<1+<2=180°[linear pair]

x+x+25=180°

2x=180-25

x=155.2

x=77.5°

x+25=77.5°+25°=102.5°

either

<1=<5=<7=<3=77°

<2=<6=<4=<8=102.5°

Or

<1=<5=<7=<3=102.5°

<1=<5=<7=<3=102.5°<2=<6=<4=<8=77°

A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:

The unicycle will travel 351.68 inches in 7 revolutions

Step-by-step explanation:

The circular shape moves a distance equal to its circumference in each revolution, then the rule of the distance of the circular shape travels n turns is D = π d n, where

d is the diameter of the circular shapen the number of revolution

∵ A unicycle wheel has a diameter of 16 inches

d = 16 inches

∵ The unicycle will travel 7 revolutions

n = 7

→ Substitute them in the rule of the distance above

D = π(16)(7)

∵ π = 3.14

∴ D = 3.14(16)(7)

D = 351.68 inches

→ No need to round it, it is in the hundredth of an inch

The unicycle will travel 351.68 inches in 7 revolutions

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