If one store is selling 3/4 of a bushel of apples for $9 and another story selling 2/3 of a bushel of apples for $9 which store has the better deal.


***I know the answer is calculate the $ amount first. 9 divided 3/4 total $12
9 divided 2/3 total $13.50 better deal 3/4 is cheaper...
But my question is how can identify when is division or multiplication??
I was doing multiplication but it did not work,.....why division this time?

Answers

Answer 1

For this case we have,

store 1:

3/4 of a bushel of apples -----------------------> $ 9

1 bushel of apples -------------------------------> x

From here the value of x is cleared, resulting in:

[tex]x =\frac{(1)(9)}{\frac{3}{4} } \\\\x = 12\\[/tex]

store 2:

2/3 of a bushel of apples -----------------------> $ 9

1 bushel of apples -------------------------------> x

From here the value of x is cleared, resulting in:

[tex]x = \frac{(1)(9)}{\frac{2}{3} }\\\\x = 13.50 \\[/tex]

Therefore it is convenient to buy apples in store 1 because it is cheaper.

Answer:

It is convenient to buy apples in store 1 because it is cheaper. A division must be made for each case because you want to find the unit cost of a product having the total cost and the amount in fraction.


Related Questions

20+x=25 so I'm doing addition property of equality so what does this mean

Answers

The addition property of equality is the idea we can add some number to both sides of an equation. You must add the same number to both sides to keep things balanced.

It's asking "what number can we add to both sides of this equation so that we isolate x?"

Think of 20+x as x+20. We can rearrange terms since adding in any order doesn't matter (eg: 2+3 = 3+2 = 5)

So we really have this equation: x+20 = 25

We can add -20 to both sides to cancel out the +20 on the left side

x+20 = 25

x+20+(-20) = 25+(-20) ...... add -20 to both sides

x = 5

This is the exact same as subtracting 20 from both sides. So 5 will go where x is, meaning that 20+x = 20+5 = 25

The domain for f(x) and g(x) is the set of all real numbers.

Let f(x) = 2x^2 + x − 3 and g(x) = x + 2. Find (f • g)(x).

Answers

Final answer:

The product of the functions f(x) and g(x), (f • g)(x), is found by multiplying the two functions together. The resulting function is 2x^3 + 5x^2 - x - 6.

Explanation:

The question is asking for the product of functions f(x) and g(x), denoted as (f • g)(x). To find (f • g)(x), we simply have to multiply function f(x), which is 2x^2 + x - 3, and function g(x), which is x + 2, together.

Let's do it: (2x^2 + x - 3) * (x + 2). Multiplying these two functions out, we get: 2x^3 + 4x^2 + x^2 + 2x - 3x - 6. Simplifying these, we arrive at 2x^3 + 5x^2 - x - 6.

So, (f • g)(x) = 2x^3 + 5x^2 - x - 6.

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Choose which best explains the distributive property.

a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value
a property of the real numbers that states that how numbers are grouped in a sum or product does not change the value
a(b + c) = ab + ac, or a(b - c) = ab - ac

Answers

I would say that the answer that best describes the distributive property is "a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value". Distributive property says that when you have a(b+c), you can add b and c together and then multiply by a or multiply b and c by a separately and then add them together after. It does not matter what order you choose to add and multiply in.

I hope this helps :)

Circle the largest decimal in each of the following groups.
a. 0.370, 0.307, 0.037, 0.3007
b. 0.404, 0.044, 0.44
c. 0.05, 0.049, 0.009, 0.1
d. 2.7, 2.5, 2.75
please helpp

Answers

A. 0.370

B. 0.44

C. 0.1

D. 2.75

Answer: a) 0.370 b) 0.440 c) 0.1 d) 2.75

Step-by-step explanation:

Since we have given that

a. 0.370, 0.307, 0.037, 0.3007

First we write it in the ascending order :

0.037<0.3007<0.307<0.370

So, the largest decimal = 0.370

b. 0.404, 0.044, 0.44

We write it in ascending order :

0.044<0.404<0.440

So, the largest decimal = 0.440

c. 0.05, 0.049, 0.009, 0.1

Ascending order :

0.009<0.049<0.05<0.1

So, the largest decimal = 0.1

d. 2.7, 2.5, 2.75

Ascending order :

2.5<2.7<2.75

So, the largest decimal = 2.75

is the following statement true or false? if the sum of three numbers is negative then all three numbers are negative, explain.

Answers

it is true!!!! hope this helps


Solve the equation 425x=850

Answers

Answer:

x=2

Step-by-step explanation:

To solve this, you must isolate x. To do this, divide both sides by 425 because that is what x is being multiplied by (and dividing is its opposite). Then, you get the answer, x=2.

The answer to the question is x=2

How much wood $400 be worth after 11 years if it were invested at 4% interest compounded monthly? (Use the formula below and round your answer to the nearest cent.) A(t)=P(1+r/n)^nt

Answers

Here we are given the formula for compound interest as :

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Here

A= Amount

P=Principal

r=rate of interest

n=number of times interest is compounded per year

t=time(years)

So we are given

P= $400

r=4% or 0.04

t= 11 years

n= 12

Plugging these values in the formula for compound interest we have,

[tex]A=400(1+\frac{0.04}{12})^{12*11}[/tex]

A= $620.6286

Amount = $620.6

Answer: The final amount after 11 years will be $620.6 .

To find the value of $400 invested at 4% interest compounded monthly for 11 years, use the compound interest formula A(t) = P(1 + r/n)^(nt) and solve for A(t). After calculations, the amount comes to approximately $660.44 when rounded to the nearest cent.

To calculate the future value of $400 invested at 4% interest compounded monthly over 11 years, we can use the compound interest formula provided: A(t) = P(1 + r/n)^(nt). In this formula, P represents the principal amount ($400), r is the annual interest rate (0.04), n is the number of times interest is compounded per year (12 for monthly compounding), t is the number of years the money is invested (11 years), and A(t) is the amount of money accumulated after t years, including interest.

Using the formula:

Calculate the monthly interest rate: r/n = 0.04/12 = 0.003333...Determine the total number of compounding periods: nt = 12 * 11 = 132.Substitute the values into the formula: A(t) = $400(1 + 0.003333...)¹³².Calculate A(t) to find the future value of the investment.

The calculation is as follows:

A(t) = $400(1 + 0.003333...)¹³²

A(t) = $400(1.003333...)¹³²

A(t) = $400(1.6511)

A(t) = $660.44

After rounding to the nearest cent, $400 invested at 4% interest compounded monthly for 11 years would be worth approximately $660.44.

Stacie is a resident at the medical facility where you work. You are asked to chart the amount of solid food that she consumes. For the noon meal, today she ate 1/2 of a 3-ounce serving of meatloaf, 3/4 of her 3-ounce serving of mashed potatoes, and 1/3 of a 2-ounce serving of green beans. How many ounces of solid food did Stacie consume? Round final answer to two decimal places.

Answers

Remark

The general formula is fraction * solid food = amount

Total amount = 1/2 * 3 oz + 3/4 * 3 oz + 1/3 * 2 oz

Total amount = 3/2 oz + (9/4) oz + 2/3 oz

The lowest common denominator of  2 4 and 3 = 12

Total amount = 3*6/2*6 + 9*3/4*3 + 2*4/3*4

Total amount = 18/12 + 27/12 + 8/12

Total amount = 53/12 = 4 5/12 <<< Answer oz of food.

4.42 oz of food <<<< Answer

If f(x)=4x-11 what is the value of f(5)

Answers

f(5) = 4(5) - 11

f(5) = 20 - 11

f(5) = 9

The answer is 9 :)

Please give BRAINIEST :)

Thanks

By assigning the value of X to the function, we have:

f( x ) = 4 x - 11

f ( 5 ) = 4 * 5 - 11

f ( 5 ) = 20 - 11

f(5 ) =  9


therefore f ( 5 ) = 9


Willis bought a gallon of paint. He painted a wall that is 9 feet high and 10 feet wide. Then
he used the rest of the paint to paint 46 square feet in the hall. How many square feet did the gallon of paint cover?

Answers

the andwer would be 136 beause you would have to multiply 9 and 10 to get its area in square feet, then you would have to add the answer to that problem(90) to 46 square feet, and your answer would be 136

Answer:

Step-by-step explanation:

9 *10= 90 feet

90+ 46= 136 square feet

What is the justification for each step in the solution of the equation?

1.) 5x-4/2 = 2x-1
2.) 5x-4 = 2(2x-1)
3.) 5x-4 = 4x - 2
4.) 5x = 4x+2
5.) x = 2

Answers

Step 1 : (5x-4)/2 = 2x-1                     [Given]

Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1)                 [Multiplicative Property of Equality i.e. by multiplying both sides of the equation by same number]

Step 3 : (5x-4) = 4x-2                     [By Distributive Property]

Step 4 : 5x - 4 + 4 = 4x - 2 + 4                     [By addition property of equality i.e.  by adding both sides of the equation by same number]

⇒ 5x = 4x + 2

Step 5 : 5x - 4x = 4x + 2 - 4x                      [By subtraction property of equality i.e.  by subtracting both sides of the equation by same number]

⇒ x = 2

Answer:

Step 1 : (5x-4)/2 = 2x-1                                {Given}

__________________________________________________________

Step 2 : ((5x-4)/2) × 2 = 2 × (2x-1)               {Multiplicative Property}  

__________________________________________________________

Step 3 : (5x-4) = 4x-2                                   {Distributive Property}

__________________________________________________________

Step 4 : 5x - 4 + 4 = 4x - 2 + 4                     {Addition property}

 5x = 4x + 2

__________________________________________________________

Step 5 : 5x - 4x = 4x + 2 - 4x                     {Subtraction property}    

x = 2

Flowchart Proof-
Given: line a is parallel to line b, and angle 7 is congruent to angle 10
Prove: line c is parallel to line d
Please help and use the correct postulates and theorems for reasons.

Answers

Final answer:

In this flowchart proof, we utilised the Corresponding Angles Postulate to conclude that line c is parallel to line d. Given that line a is parallel to line b, and angle 7 is congruent to angle 10, we can say that corresponding angles on line c and line d are also congruent, hence proving line c is parallel to line d.

Explanation:

For this flowchart proof, we will use the idea of corresponding angles and the postulate that if a transversal intersects two lines and the corresponding angles are congruent, then the lines are parallel.

Given that line a is parallel to line b.Next, it's given that angle 7 is congruent to angle 10. Assume angle 7 is the angle made by line a and a transversal line, and angle 10 is the angle made by line b and the same transversal.Since line a is parallel to line b and they are cut by a transversal, corresponding angles will be congruent (Corresponding Angles Postulate).We know that angle 7 is congruent to angle 10 (Given).Assume line c and line d are cut by the same transversal as line a and line b, and angle 7 is the corresponding angle to a certain angle on line c, and angle 10 is the corresponding angle to a certain angle on line d. Since angle 7 is congruent to angle 10, the corresponding angles on line c and line d will also be congruent.Hence, line c is parallel to line d (Corresponding Angles Postulate).

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You need at least $635 to go on a trip to Washington, DC. You already have $75 saved for the trip. You decide to save an additional $65 per week. Which inequality shows the number of weeks, w, you need to save to be able to go on the trip?


Answers

75+65w is greater than or equal to (>_) 365

75+65w≥635

This is the inequality because you already saved 75 so you just add it to the amount you save after a certain amount of weeks. It needs to be more than 635 for the the trip.

Is 2pi greater than or less than .38

Answers

[tex]2\pi\approx6.28\\.38=0.38\\\\2\pi >.38[/tex]

A hybrid car gets 45 miles per gallon. At that rate, how much gas would it take to travel across country, a distance of about 2600 miles

Answers

2600 divided by 45 equals 57.7 repeating or rounding up 58

To travel 2600 miles in a hybrid car with a fuel efficiency of 45 mpg, it would require approximately 57.78 gallons of gas.

To calculate the amount of gas needed for a hybrid car to travel 2600 miles with a fuel efficiency of 45 miles per gallon (mpg), you can use the formula:

Divide the total distance by the fuel efficiency: 2600 miles \/ 45 mpg.This gives the total gallons of gas needed: ~57.78 gallons.

So, it would take approximately 57.78 gallons of gas to travel across the country in a hybrid car with a fuel efficiency of 45 mpg.

how much is 36 nickels 24 dimes 19 quarters and 15 fifty cent?

Answers

Fifty Cent = 50 cents

Quarter = 25 cents

Dime = 10 cents

Nickel = 5 cents

__________________________________________________________________

15 Fifty Cent coins = 7.50 dollars

19 Quarters = 4.75 dollars

24 Dimes = 2.40 dollars

36 Nickels = 1.80 dollars

__________________________________________________________________

Total: $16.45

Hope that helps!

Determine the multiplicity of the roots of the function k(x) = x(x + 2)3(x + 4)2(x − 5)4. 0, -2, -4, 5

Answers

Answer:

The polynomial function [tex]k(x)=x(x+2)^3(x+4)^2(x-5)^4[/tex]

To determine the multiplicity of 0, -2, -4, 5.

The multiplicity of a root is the number of times the root appears.

First find the root of the equation, set the function equals to zero.

[tex]x(x+2)^3(x+4)^2(x-5)^4=0[/tex]

therefore, the root of this function are, x=0,-2, -4, 5

To find the multiplicity of the roots:

A factor of x would have a root at x=0 with multiplicity of 1

similarly,  x=-2 with multiplicity of 3

x=-4 with multiplicity of 2

x=5 with multiplicity of 4.



Answer:

0 has multiplicity 1

−2 has multiplicity 3

−4 has multiplicity 2

5 has multiplicity 4

Which inverse operation would be used to verify the following equation?
102 ÷ 3 = 34

Answers

Yes you are correct

For this case we have:

The division given by:

102 ÷ 3 = 34

The dividend is 102 The divisor is 3 The quotient is 34

To verify its result we use multiplication as a reverse operation, that is:

We multiply the quotient by the divisor and its result must be the dividend.

So:

[tex](34) (3) = 102\\[/tex]

Answer:

Multiplication, [tex](34) (3) = 102[/tex]

which one is this answer if you are good a math

Answers

[tex]a=\dfrac{2d}{t^2}\ \ \ \ \ |\text{solve for t} \\ \\\\\dfrac{2d}{t^2}=\dfrac{a}{1}\ \ \ \ \ |\text{cross multiply}\\\\at^2=2d\ \ \ \ \ |:a\\\\t^2=\dfrac{2d}{a}\to t=\sqrt{\dfrac{2d}{a}}\\\\\text{We have}\\ \\a=2\dfrac{m}{s^2},\ d=10m\\\\\text{substitute}\\\\t=\sqrt{\dfrac{2\cdot10m}{2\frac{m}{s^2}}}=\sqrt{10m\cdot\dfrac{s^2}{m}}=\sqrt{10s^2}=\sqrt{10}\ s\\\\Answer:\ C.\ \sqrt{10}\ seconds[/tex]

-57=-6x+3 Help someone pls

Answers

x=10 hope this helps

answer:  [tex]x = -10[/tex]

work:

[tex]-57=-6x+3[/tex]  | subtract 3 and move it over to the 53, and solve.

[tex]-60 = 6x[/tex]  | divide by 6 to -60, and solve.

[tex]-10 = x[/tex]  | final answer.


hope this helps! ❤ from peachimin

I need your help please !

Answers

Determine the slope - down 1, right 3. This is -1/3.

Determine the y-intercept. Up 3 from the origin.

Use this information to form an equation:

[tex]y = -1/3x + 3[/tex]

your answer would be the very bottom answer y= -1\3x+3

a recipe for one batch of cookies calls 1 1/2 cups of flour how many cups of flour are needed for 3 batches

Answers

Since 1 batch needs 1 1/2 cups. You simply have to multiply 1 1/2 x 3.

4 1/2 cups are needed to bake 3 batches.

x power 3 minus 8

can you tell me how to do it and thanks in advance

Answers

the answer to the question is

(x - 2)(x^2 + 2x + 4)

you have 5 cups of rice to make bibimbap, a popular Korean meal. The recipe calls for 4/5 cup of rice per serving. How many full servings of bibimbap can you make? How much rice is left over?

Answers

You can make 6 full servings of bibimbap. 1/5 cup of rice is left over.

The number of full servings of bibimbap can you make is dividing the total cups of rice by cups of rice per serving.

You can make 6 whole servings remainder 1 cup of rice

Given:

Total cups of rice = 5 cups

Cups of rice per servings = 4/5 cup

Number of servings of bibimbap can you make = Total cups of rice ÷ Cups of rice per servings

= 5 cups ÷ 4/5 cup

= 5 × 5/4

= (5 × 5) / 4

= 25 /4

= 6 whole servings remainder 1 cup of rice

Therefore, you can make 6 whole servings remainder 1 cup of rice

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the temperature changed from -7 degrees f at 6:00 am to 7 degrees f at noon write an expression


Please help!!

Answers

-7 + 7 = 0 because the cancel them out

4 times the sum of 12 and 26

Answers

It would be 4(12 + 6). The answer to this is 7.

Hope that helps :)

26 + 12 = 38 38
x 4
====. 512 is the answer
512

10 times 5+4 to the 2nd power /4

Answers



Equals to 54...



Hope this helps....


What are the domain and range of the function f(x)=5^x-3 +1

Answers

Final answer:

The domain of the function f(x)=5ˣ-3+1 is all real numbers (-∞, +∞), and the range is all real numbers greater than -2 (-2, +∞).

Explanation:

For the given function f(x) = 5ˣ - 3 + 1, the domain and range can be determined by understanding the behavior of the function's formula. The domain refers to all possible x-values that can be input into the function, and the range refers to all possible y-values that the function can output.

The domain of any exponential function like 5ˣ is all real numbers because you can raise 5 to any power, whether it's positive, negative, or zero. Therefore, the domain of f(x) is (-∞, +∞).

To find the range of the function, we look at the output values. Since exponential functions grow without bound as x increases and approach zero as x decreases (but never actually reaches zero), 5^x will do the same. When we subtract 3 and then add 1, we're simply moving the graph down by 2 units. Thus, where the original function 5ˣ would never be less than 0, after the transformation, the function will never be less than -2. So, the range of f(x) is (-2, +∞).

solve the quadratic equation by completing the square: x^2+2x-2=0

Answers

ANSWER

[tex]x=\sqrt{3}-1[/tex] or [tex]x=-\sqrt{3}-1[/tex]


EXPLANATION

To complete the square for [tex]x^2+2x-2=0[/tex].

We rewrite the equation to get

[tex]x^2+2x=2[/tex].


We now add [tex](1)^2[/tex] to both sides to get

[tex]x^2+2x+1^2=2+1^2[/tex].

The expression on the Left Hand Side of the equation is a perfect square.


So our equation becomes


[tex](x+1)^2=2+1[/tex]


This gives us,

[tex](x+1)^2=3[/tex]


We take square root of both sides to obtain,


[tex]x+1=\pm \sqrt{3}[/tex]

[tex]x=-1\pm \sqrt{3}[/tex]

We split the [tex]\pm[/tex] to obtain,

[tex]x=\sqrt{3}-1[/tex]

or

[tex]x=-\sqrt{3}-1[/tex]









Answer:

x = √3 - 1 and x = -√3 - 1

Step-by-step explanation:

x^2  +2x - 2 = 0

To solve this equation, keep the variables on one side and constants on the other

x^2 + 2x = 2

Now to complete the square, divide the coefficient of x by 2:

2x ---> coefficient of x is 2

so 2/2 = 1

Now add the square of 1 to both the sides of the equation:

x^2 + 2x + (1)^2 = 2 + (1)^2

which makes it

(x + 1)^2 = 3

To solve it, take square root of both sides which gives

x = √3 - 1 and x = -√3 - 1




Ricardo is considering the following jobs as summer employment.

If he wants to earn $1,000 this summer working the least amount of hours, which job should he choose?
A. babysitting
B. yard work
C. lifeguarding
D. camp counselor

Answers

Answer:

I would say you lifeGuarding

Step-by-step explanation:

Answer:

Its lifegaurding doing the quiz rn

Step-by-step explanation:

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