All categories

2 years ago

Mohsin purchased a 30 ounce bag of dried Turkish figs for $11.40. What is the cost per pound?

Mathematics

2 answers:

valentinak56 [21]2 years ago

8 0

Answer:

$6.08 per pound

Explanation:

30 ounce ⇒ $11.40

conversions:

16 ounce ⇔ 1 pound

1 ounce ⇔ 0.0625 pound

solve:

0.0625(30) pound ⇒ $11.40

1.875 pound ⇒ $11.40

1 pound ⇒ $6.08

Ksivusya [100]2 years ago

3 0

Answer:

$6.08

Step-by-step explanation:

Mohsin purchased a 30-ounce bag of dried Turkish figs for $11.40.

⇒ 30 ounces of dried Turkish figs = $11.40

<u>Finding the cost per ounces:</u>

30 ounces of dried Turkish figs/30 = $11.40

⇒ 30 ounces of dried Turkish figs/30 = $11.40/30

⇒ 1 ounce of dried Turkish figs = $0.38

<u>Finding the cost per pounds:</u>

1 pound ↔ 16 ounces

⇒ 1 ounce of dried Turkish figs = $0.38

⇒ 1 ounce of dried Turkish figs × 16 = $0.38 × 16

⇒ 16 ounces of dried Turkish figs = $6.08

You might be interested in

A porch has the shape of a quarter circle. If the porch was a complete circle it would have a diameter of 5 ft. What is the appr

Sladkaya [172]

Normally, to find the area of a circle you'd do π × $r^{2}$ so you have to find the radius by dividing 5 by 2 to get 2.5. Approximating pi as 3.14, you would do 3.14 × $2.5^{2}$ = 19.625. Because the porch is a quarter circle, you would then divide this by 4 to get 4.906. Rounded to the nearest square foot, your answer would therefore be 5 ft. I hope this helps!

3 0

3 years ago

Why is 12 inches 1 foot a conversion factor ?

Alinara [238K]

I have no better answer than simply, because there are 12 inches in a foot.

By definition a conversion factor is one unit being used to express a group or multiple of another unit. Just like how there are 12 of anything in one dozen. 100 years in one century. 365 days in one year. 100 centimeters in a meter. 4 quarts in one gallon. 10 dimes in one dollar. They are equal to each other and, thus, can be used as conversion factors.

3 0

4 years ago

Find the value of X<br><img src="https://tex.z-dn.net/?f=2x%20%3D%20%20%5Cfrac%7B74%7D%7B2%7D%20%20%20-%2037" id="TexFormula1" t

zubka84 [21]

The value of x from the expression is 2

<h3>Expression and equation </h3>

Given the expression

2x = 74/2 - 37

We are to calculate the value of x from the expression

2x = 37 - 37

Since 37 - 37 = 0

2x = 0

Divide both sides by 2:

2x/2 = 0/2

x = 0

Hence the value of x from the expression is 2

Learn more on expression here: brainly.com/question/22048677

4 0

3 years ago

Read 2 more answers

John, Sally, and Natalie would all like to save some money. John decides that it

brilliants [131]

Answer:

Part 1) John’s situation is modeled by a linear equation (see the explanation)

Part 2) $y=100x+300$

Part 3) $\$12,300$

Part 4) $\$2,700$

Part 5) Is a exponential growth function

Part 6) $A=6,000(1.07)^{t}$

Part 7) $\$11,802.91$

Part 8) $\$6,869.40$

Part 9) Is a exponential growth function

Part 10) $A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

Part 11) $\$13,591.41$

Part 12) $\$6,107.01$

Part 13) Natalie has the most money after 10 years

Part 14) Sally has the most money after 2 years

Step-by-step explanation:

Part 1) What type of equation models John’s situation?

Let

y ----> the total money saved in a jar

x ---> the time in months

The linear equation in slope intercept form

y=mx+b

The slope is equal to

$m=\$100\ per\ month$

The y-intercept or initial value is

$b=\$300$

$y=100x+300$

therefore

John’s situation is modeled by a linear equation

Part 2) Write the model equation for John’s situation

see part 1)

Part 3) How much money will John have after 10 years?

Remember that

1 year is equal to 12 months

$10\ years=10(12)=120 months$

For x=120 months

substitute in the linear equation

$y=100(120)+300=\$12,300$

Part 4) How much money will John have after 2 years?

Remember that

1 year is equal to 12 months

$2\ years=2(12)=24\ months$

For x=24 months

substitute in the linear equation

$y=100(24)+300=\$2,700$

Part 5) What type of exponential model is Sally’s situation?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$P=\$6,000\\ r=7\%=0.07\\n=1$

substitute in the formula above

$A=6,000(1+\frac{0.07}{1})^{1*t}\\ A=6,000(1.07)^{t}$

therefore

Is a exponential growth function

Part 6) Write the model equation for Sally’s situation

see the Part 5)

Part 7) How much money will Sally have after 10 years?

For t=10 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{10}=\$11,802.91$

Part 8) How much money will Sally have after 2 years?

For t=2 years

substitute the value of t in the exponential growth function

$A=6,000(1.07)^{2}=\$6,869.40$

Part 9) What type of exponential model is Natalie’s situation?

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$P=\$5,000\\r=10\%=0.10$

substitute in the formula above

$A=5,000(e)^{0.10t}$

Applying property of exponents

$A=5,000(1.1052)^{t}$

therefore

Is a exponential growth function

Part 10) Write the model equation for Natalie’s situation

$A=5,000(e)^{0.10t}$ or $A=5,000(1.1052)^{t}$

see Part 9)

Part 11) How much money will Natalie have after 10 years?

For t=10 years

substitute

$A=5,000(e)^{0.10*10}=\$13,591.41$

Part 12) How much money will Natalie have after 2 years?

For t=2 years

substitute

$A=5,000(e)^{0.10*2}=\$6,107.01$

Part 13) Who will have the most money after 10 years?

Compare the final investment after 10 years of John, Sally, and Natalie

Natalie has the most money after 10 years

Part 14) Who will have the most money after 2 years?

Compare the final investment after 2 years of John, Sally, and Natalie

Sally has the most money after 2 years

3 0

4 years ago

A + 3 + 2a = -1 + 3a + 4

Verdich [7]

Answer:The answer is Equal.

Step-by-step explanation:First you need to add A and 2A together. that equals 3a. Since 3 is left , it could be -1 and 4 because it would equal the same thing hope this helped :)

8 0

3 years ago