A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

Answers

Answer 1

9514 1404 393

Answer:

  4.5 lb

Step-by-step explanation:

The ingredients are proportional so ...

  wheat/rice = 3/2 = ??/3 lb

Multiplying by 3 lb gives ...

  ?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb

The mixture contains 4.5 lb of wheat.

_____

Additional comment

Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)

  a/b = c/d   ⇔   b/a = d/c   ⇔   a/c = b/d   ⇔   c/a = d/b


Related Questions

Sebastian is 3 years older than twice Amy's age. Sebastian is 33 years old. How old is Amy?

Answers

Answer:

15 years old

Step-by-step explanation:

You would have to create a equation. 2x+3=33, 2x=30, x=15.

Amy is 15

Sebastian is 33 so subtract 3 for the three years older part. Then divide that 30 by 2

33-3= 30. 30/2=15

Therefore amy is 15

The table shows the relationship between the number of cups of cereal in the number of cups of raisins in a cereal bar recipe jake potter and equivalent ratio on the coordinate grid below which of these explains why the point jake plotted is incorrect

Answers

Answer:

c i think

Step-by-step explanation:

how do I make this as simplest form
qns: 5 2/3 + 3 1/10
pls answer
the prod. is 8 23/30 ​

Answers

Answer:

That is the final product

Step-by-step explanation:

According to all sites I used, they all said that was in the simplest form and cannot be simplified lower than that.

Find the probability if three dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal places.) (You must provide an answer before moving to the next part.)

Answers

Using the binomial distribution, it is found that there is a 0.3472 = 34.72% probability that it comes up five exactly once.

For each dice that is rolled, there are only two possible outcomes, either it comes up 5, or it does not. The probability of a dice coming up 5 is independent of any other dice, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

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

The parameters are:

x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.

In this problem:

There are three throws, hence [tex]n = 3[/tex].A five is one of the six sides, hence [tex]p = \frac{1}{6} = 0.1667[/tex]

The probability that it comes up five exactly once is P(X = 1), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{3,1}.(0.1667)^{1}.(0.8333)^{2} = 0.3472[/tex]

0.3472 = 34.72% probability that it comes up five exactly once.

A similar problem is given at https://brainly.com/question/24863377

Simplify the algebraic
expression
4(x + 1) + 7(x + 3).
a. 11x + 4
b. 2x + 215
C. 11x + 25
d. 5x + 11
Someone help pleaseeee

Answers

Answer:

C.

Step-by-step explanation:

4(x + 1) + 7(x + 3)= 4*x+4*1 + 7*x+7*3 = 4x+4 +7x +21 = 11x + 25

C

Step-by-step explanation:

4x+4+7x+21

11x+25

you have to combine like terms

A grower packs 4,568 peaches. He packs the most peaches possible, dividing them equally into 9 boxes, and then gives away the remaining peaches.
How many peaches are in each box.
How many peaches does he give away.
If he sells 7 boxes, how many peaches does he have left.

Answers

507 peaches in each box.

He gives away 5 peaches.

If he sells 7 boxes he has 1019 peaches left.

Hope this helps.

507 peaches in each box

He gives away 5 peaches

If he’s sells 7 boxes he’ll have 1014 peaches left

What is the midline of the function y=19cos(9x+3)+34 ?
plss help mee

Answers

Factor out the horizontal stretch,

Midline of y=cosx is 0

This graph is shifted 34 units up

Midline is 34

The midline of the function is y = 34.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The midline of a periodic function is the horizontal line that divides the graph of the function into two equal parts.

For a cosine function of the form y = A cos(Bx - C) + D, the midline is given by the equation y = D.

In this case, the function is y = 19cos(9x+3)+34, so the midline is given by the constant term, which is D = 34.

Therefore,

The midline of the function is y = 34.

Learn more about functions here:

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The holding period of property acquired by gift may begin on:

A. The date the property was acquired by the donor only.
B. The date of the gift only.
C. Either the date the property was acquired by the donor or the date of the gift.
D. The last day of the tax year in which the property was originally acquired by the donor.

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is C. Either the date the property was acquired by the donor or the date of the gift.

Step-by-step explanation:

The donor's holding time is included in the holding period connected with the gain basis rule. The loss basis rule's holding period begins on the day of the donation.

Analyze the table below and complete the instructions that follow.


Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E

Solve for the variables in the table.

Answers

Answer:

C

Step-by-step explanation:

100 POINTS ANSWER PLZ

On saturday endsay walked 3 1/2 miles in 1 2/5 hours what was her walking pace in miles per hour? write in somplest form

Answers

Answer:

2 1/2 mph

Step-by-step explanation:

Answer:

4 9/10

Step-by-step explanation:

trust me i tried posting a pic of my work but it wont load but it is 4  9/10

8 times the sum of 2 and a number that is 32

Answers

Answer:

Step-by-step explanation:

d) 8(n+2) = 32

If two corresponding angles in a triangle are congruent, the triangles are congruent.

True
False

Answers

Answer:

False

Step-by-step explanation:

All angles and all sides have to be congruent.

I hope this helps!!

A bakery sells 1/2 dozen cookies for $6.48. At this rate, how much would it cost for 3 dozen cookies?​

Answers

It would cost $38.88 for three dozen cookies
$38.88 is definitely the answer facts I had that problem too myself

What is -1.2 -29/20 =

Answers

Answer:

-2.65

Step-by-step explanation:

June was thinking of a number. June half's the number and gets an answer of 53.7 form an equation with x from the information​

Answers

Answer:

x/2=53.7

Step-by-step explanation:

x/2=53.7

x=107.4

Help me please guys hurry!!!

Answers

Answer:

1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!

Step-by-step explanation:

Lucas invests $2000 per year in his retirement account for 40 years in an investment with an average annual return of 10%. Approximately how much will he have after 40 years?
A.$88,000
B.$176,000
C.$312,000
D.$975,000

Answers

The amount Lucas would have in his account is $885,000.

The formula that would be used to determine the amount of money Lucas would be in 40 years is:

The formula for calculating future value = A x annuity factor  

Annuity factor = {[(1+r)^n] - 1} / r

Where:

A = amount invested each year = $2000r = interest rate = 10%n = number of years = 40 years

$2000 x [(1.1^40 - 1) / 0.1] = $885,000

To learn more about future value, please check: https://brainly.com/question/14640433

which two expressions are equivalent to 7(t + 5)?


A). 7 • 5 • t

B). 7 • 5 + t

C). 7 • 5 + 7 • t

D). (5 + t) • 7

E). 5(t + 7)



Answers

Answer:

7.5+7.t

and

(5+t).7

are equivalent to 7(t+5)

Option D and E are equivalent to 7(t + 5) That is :

(5 + t) • 7 and 5(t + 7)

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

The given equation is :

7(t + 5)

7(t+5) multiply 7 with inside the parenthesis

7(t+5) = 7t + 7x5

this result is equivalent to option D and E which will give the same result.

Therefore, Option D and E are equivalent to 7(t + 5).

Read more about expressions at :

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23 x 5 + 6 x 50 -7 = ?

Answers

Answer:   Your anwser would be 408 please mark brainliest thank you

Step-by-step explanation:

Answer:408

Step-by-step explanation:

To find the answer, we can use the order of operations ( PEMDAS)

23*5=115

6*50=300

so simplified

115+300-7

add

415-7

subtract

408

so 23*5+6*50-7=408

Select the correct answer. What is the solution to the equation? 2(x+7)^2/3 = 8 A. -15 and 1 B. -15 C. 1 D. no solution

Answers

Answer:

The answer has no solution because it is infinite and that's your vairiable

Answer:

-15 and 1

Step-by-step explanation:

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

[tex]y = x^{3} + 2[/tex]

[tex]y = g(x) + c[/tex]

Here,  [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.

Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

To learn more about the cubic function visit:

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Find the square of
[tex]7 - 2 \sqrt{ 10} [/tex]

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

89-29 over 10 from my calculations my friend

A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.

Answers

Answer:

New price = $48

Step-by-step explanation:

New price = Original price - (original price × 20%)

New price = $60 - ($60 × .20)

New price = $60 - $12

New price = $48

Or If the jacket is 20%, you will pay 80% of the cost.

So Original price × the percentage that you paid = New price

                     $60 × 80% = New price

                      $60 × .80 =  $48

What is the meaning of algebra and expressions

Answers

In mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number). For example, 3x2 − 2xy + c is an algebraic expressio

Answer:

Algebra is a branch of mathematics that substitutes letters for numbers. Algebra is about finding the unknown or putting real-life variables into equations and then solving them. Algebra can include real and complex numbers, matrices, and vectors. An algebraic equation represents a scale where what is done on one side of the scale is also done to the other and numbers act as constants.

Expressions is a Numbers, symbols and operators (such as + and ×) grouped together that show the value of something.  

Examples:

• 2 + 3 is an expression

• 3 − x/2 is also an expression

Elijah has a muffin and a banana. To find the banana's weight, Elijah uses a balance scale twice and the scale is balanced both times as shown below. How much does the banana weigh? please help me I don't get it

Answers

Answer:

the scale is balanced both times as shown below.

No scale is shown

Step-by-step explanation:

Solve algebraically :)

Answers

Answer:

x > 4

Step-by-step explanation:

Answer:

should be x > 4

Step-by-step explanation:

what is the additve inverse of 9/10

Answers

Answer is -9 litterly just take a postive and make it into a negative

Which equation reprints a line passing through the point (8,16) with a slope of 3

Answers

Equation: y=3x-8

Tell me if you want step by step!

Hope this helps. :)

explain plz branist is u get it right

Answers

well the answer is 107.8823529411764705 (repeating decimal)

a student required to 40% marks to pass in exam he got 190 marks and fail with 10 marks. find total marks?

Answers

Answer:

500

Step-by-step explanation:

40%=190+10

40%=200

10%=50

100%=500

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