Tropical dried fruit costs $1.50 per pound and regular dried fruit costs $0.90 per pound. You want to create a mixed bag of tropical dried fruit and regular dried fruit that is worth $1.30 per pound. How many pounds of tropical dried fruit do you need if you have already purchased 50 pounds of regular dried fruit?

Answers

Answer 1

t = total amount of lbs of Tropical dried fruit

m = total amount of lbs of mixed bag

[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]


Related Questions

Hi guys can u guys help me add 322 + 12

Answers

Answer:

334 is the answer

Step-by-step explanation:

you add them together

Answer:

334 is the right answer

Step-by-step explanation:

please mark me brainliest

Help, please

Erica solved the equation −5x − 25 = 78; her work is shown below. Identify the error and where it was made.

−5x − 25 = 78
Step 1: −5x − 25 − 25 = 78 − 25
Step 2: −5x = 53
Step 3:negative five times x over negative five = fifty-three over negative five
Step 4: x = negative fifty-three over five

Answers

Answer:

The first step.

Step-by-step explanation:

The radius of the circle shown below is 8 centimeters. What is the
approximate length of XY?
115

A. 50.3 cm
B. 16.1 cm
C. 8.0 cm
D. 64.2 cm

Answers

16.1 cm! correct if wrong!

what is x- 2 1/2 = 6 3/4

Answers

Answer:

3 2/2

Step-by-step explanation:

Examine the graphic organizer above. Which of the choices below BEST fills in the blank on the graphic organizer?

Answers

Hsbshshhsshhshshshhshs

what is the value of x that makes the equation 8 x -4 equal 96 true​

Answers

Answer:

x= 12.5 or 25/2

Step-by-step explanation:

8x - 4 (+4) = 96 (+4)

8x (/8) = 100 (/8)

x= 12.5 or 25/2

Houa is driving to a concert and needs to pay for parking. There is an
automatic fee of $8 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Houa have to pay for
parking if she left her car in the lot for 3 hours? How much total money would Houa have to pay if she left her car in the lot for 3 hours? How much would Houa have to pay if she left her car in the lot for t hours?

Cost of parking for 3 hours:
I
Cost of parking for t hours:

Answers

Answer :6

If it’s two dollars every hour and she leaves her car out in the parking lot for three hours if you go 2 x 3 =6 or you could go 2,4,6 so add 2 three times you get 6

Step-by-step explanation:

let's create the corresponding equation.

it is linear, because the cost per hour is constant, no matter how many hours the car parks.

t is the variable indicating the amount of hours parking.

every hour costs $2.

and $8 is the starting value (we have to pay that, even if we have 0 hours parking time).

cost(t) = 2t + 8

so, the cost after 3 hours is

cost(3) = 2×3 + 8 = 6 + 8 = $14

A CD is on sale for $10.00. The sales tax rate is 6%. How much will the total cost be for the CD

Answers

Answer:

$10.06

Step-by-step explanation:

Tax rate = 6% , convert into 0.06

10 × 0.06 = 0.6

10 + 0.6 = 10.06

There are two types of packages that are available for hotel stay

- you can use the hotel unlimited for $500 a month

- Or you can spend $50 a day per visit.

Enter an equation that can be used to find the number of visits per month needed for the two packages to cost the same amount

Answers

Answer:

for one month 500$

for daily visit 50$

500$=50$*x days

x days=500$/50$

x days = 10 days

10 days of daily visits costs 500$ equal to one month

If 6 pounds of apples cost $4.80 what is the cost per 9 pounds

Answers

Answer:

Cost of 1 pound apple:4.80/6=2.4

cost of 9 pounds apple:2.4 ×9=21.6

You have to do unit price so for one apple it is $0.80 then do .80x9 which equals $7.20

Which equation represents this line in point-slope form?

A.
`(y + 4) = (4)/(3) (x + 3)`

B.
`(y −4) = -(4)/(3) (x +3)`

C.
`y= -(3)/(4)x`

D.
`4y− 3x = 0`

Answers

Answer:

The Answer is Option A or Option B

Step-by-step explanation:

First let's review what point slope form is.

[tex]y - y 1 = m(x - x1)[/tex]

To take a line and put it into point slope form you need to identify one of the points. In this case the point is either (-3, -4) or (-3, 4) but without a graph attached I cannot personally say which one it is.

You will also need to identify the slope of the line (m) based on the graph, so identify if the graph is ascending or descending. This alone can determine your answer

Again, there is no graph provided so it is up to you to determine if it is Option A or B.

I really hope this helps and you have a great rest of your day!

Note: I am not a professional educator so take my opinion carefully.

=)

I need help fast I forgot how to do this

Answers

Answer:

ABC & E are true statements about the graph

What is the length of LN in the right triangle below?

Answers

Answer:

D 280

Step-by-step explanation:

Pythagoras theorem

Answer:

a

Step-by-step explanation:

LN=√19^2 - 9^2

=√361 - 81

=√280

A line has a slope of and passes through the point (4, 7). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

7=4m +c( y intercept)

Step-by-step explanation:

use the formula y= mx +c

Emily reads a story book. o the first day, she reads 1/9 of the whole book, and on the second day, she reads 24 pages. The ratio of the number of pages read to the remaining pages in the two days is 1:4. How many pages are there in this book

Answers

Answer:

Step-by-step explanation:

Let P be the number of pages

First day reads P/9 pages

Second day reads 24 pages

two days reading is P/5  (1 page read for every 4 pages left)

         P/9 + 24 = P/5

        P + 24(9) = 9P/5

  5P + 24(9)(5) = 9P

               1080 = 4P

                     P = 270 pages

There are 270 pages in this book.

Given that,

Emily reads a storybook the first day,

She reads 1/9 of the whole book, and on the second day, she reads 24 pages.

The ratio of the number of pages read to the remaining pages in the two days is 1:4.

We have to find

How many pages are there in this book?

According to the question,

Let, P is the number of pages,

The first day Emily reads p/9 pages of the whole book,

And the second day she read 24 pages.

The ratio of the number of pages read to the remaining pages in the two days = 1;4 = p/5.

Therefore,

The number of pages reads first day + the number of pages read the second day = The ratio of the number of pages read to the remaining pages in the two days

[tex]\rm \dfrac{p}{9} + 24 = \dfrac{p}{5}\\\\ \dfrac{p}{5} - \dfrac{p}{9} = 24\\\\\dfrac{p \times 9 - p\times 5}{45} = 24\\\\ \dfrac{9p-5p}{45} = 24\\\\\dfrac{4p}{45} = 24\\\\4p = 24\times 45\\\\4p = 1080\\\\p = \dfrac{1080}{4}\\\\p = 270 \ pages[/tex]

Hence, there are 270 pages in this book.

For more details refer to the link given below.

https://brainly.com/question/14505922

please need help with this Calculus question

Answers

So what’s the question?

16. Write an equation for the line that is parallel to the given line and passes through the given
(1 point)
point
y = 3x+7; (2, 10)

A. Y=3x + 11

B. y = 3x + 4

C. y=-3x+4

D. y=(-1/3)x+ 4

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes

y = 3x + b

add in the desired point

10 = 3(2) + b

b = 4

B.  y = 3x + 4

A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?



r≥241925


r≤12.6


r≤241925


r≥12.6

Answers

Answer:

r <= 12.6

Step-by-step explanation:

Let's calculate the rate at which he descends:

r = (46.7 - 15.2)/212 = 0.15 feet/minute

Can someone help me with these 2 geometry questions?? Will mark brainiest :)

Answers

Answer:

Thats to hard Do it your self

order the expression from least to greatest

Answers

Answer:

So it would be 4, 11, 20

Step-by-step explanation:

[tex]11^1 = 11[/tex]

[tex]2^2 * 5 = 20[/tex]

[tex]8^2-60 =4[/tex]

You take a test with 25 questions. Your grade on the test was a 80%. How many questions did you get right?

Answers

Answer: 20 questions
Explanation: 25 divided by 20 = 80%

Answer:

20 questions

Step-by-step explanation:

1.) Use the following equation:

[tex]\frac{x}{y}[/tex] = [tex]\frac{p}{100}[/tex]

2.) For this equation,

x is the # of test question you got righty is the total # of test questionsp is the grade you got on the test

3.) Substitute

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

4.) Solve

[tex]\frac{x}{25}[/tex] = [tex]\frac{80}{100}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{8}{10}[/tex]

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5.) Cross Multiply

[tex]\frac{x}{25}[/tex] = [tex]\frac{4}{5}[/tex]

5x = 100

6.) Divide

5x = 100

x = 20

Therefore, you got 20 questions right.

(fog) f(x) = 1/x g(x) square root x+3

Answers

Answer:

see the step below, but I'm not sure if this you want

Step-by-step explanation:

[tex](fog) = \frac{1}{ \sqrt{x + 3} } [/tex]

[tex](fog) = \frac{ \sqrt{ x + 3} }{x + 3} [/tex]

Find the exact value of tan π/12.

Answers

[tex]\textit{Half-Angle Identities}\qquad tan\left(\cfrac{\theta}{2}\right)= \begin{cases} \pm \sqrt{\cfrac{1-cos(\theta)}{1+cos(\theta)}} \\\\ \cfrac{sin(\theta)}{1+cos(\theta)}~~\leftarrow \textit{let's use this one} \\\\ \cfrac{1-cos(\theta)}{sin(\theta)} \end{cases} \\\\\\ 2\cdot \cfrac{\pi }{12}\implies \cfrac{\pi }{6}~\hspace{10em} \cfrac{~~ \frac{\pi }{6}~~}{2}\implies \cfrac{\pi }{6}\cdot \cfrac{1}{2}\implies \cfrac{\pi }{12}[/tex]

so let's use the double of the angle in the half-angle identities, check the picture below for the cosine, sine pairs

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{sin\left( \frac{\pi }{6} \right)}{1+cos\left( \frac{\pi }{6} \right)}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{1+\frac{\sqrt{3}}{2}}[/tex]

[tex]tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{~~ \frac{1}{2}~~}{~~\frac{2+\sqrt{3}}{2}~~}\implies tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2}\cdot \cfrac{2}{2+\sqrt{3}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill tan\left( \cfrac{~~ \frac{\pi }{6}~~}{2} \right)=\cfrac{1}{2+\sqrt{3}}~\hfill[/tex]

need this soon please

Answers

Answer: pretty sure -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

(-80) - (-10) is -79

-70 / (+10) = -7

on tuesday a local a hamburger shop sold a combined total of 448 hamburgers and cheeseburgers , the number of cheeseburgers sold was three times the number of hamburgers sold how many hamburgers were sold on tuesday ?

Answers

Cheeseburger=3/4
Hamburgers=1/4
448/4=112
112x3=336
Cheeseburgers=336
Hamburgers=112
112 hamburgers were sold on Tuesday.

simplify [tex]y^{-3}[/tex]

Answers

The answer is in the picture below .
1/y3 hope this helps

Luigi's Fine Dining charges $32.09 for its prix fixe meal plus $39.26 for every drink, d, you purchase. The equation that models the total cost (T) is T(d )= 39.26d + 32.09 Which value in the equation represents the rate of change?

A .. The number of drinks purchased
B .. $32.09
C .. $39.26
D .. $71.35

Answers

Answer:

C. $32.09, since it's not the fixed cost, it changes based on how much drinks are purchased.

A
It depends on the amount of drinks purchased to change the bill

Solve this plz question plz​

Answers

We have: [tex](-\frac{15}{18})[/tex] ÷ [tex](-\frac{20}{24})[/tex] = [tex]\frac{-15}{18} .\frac{-24}{20} = \frac{(-3)(5).(-4)(6)}{(3)(6).(4)(5)} = 1[/tex]

ANSWER: 1

ok done. Thank to me :>

Answer:

1

Step-by-step explanation:

[tex]( - \frac{15}{18} ) \div ( - \frac{20}{24} ) \\ now \: you \: have \: fraction \: divided \: by \: fraction \: then \: do \: reciprocal \: \\ ( - \frac{15}{18} ) \times ( - \frac{24}{20} ) \\ = 1[/tex]

How can you solve multistep equations that represent real world
scenarios?

Answers

Yeah like you can do scenarios or examples or you can get creative

Please help me!! I don't understand
No linksssss

Answers

Answer:

thanks haahhahahaha

Step-by-step explanation:

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