Question 5 of 6
Use the guess and check method to solve this problem.
Bunyan Farm sells 3 pound and 5 pound bags of onions. The Tuesday
morning delivery consists of 25 bags weighing 99 pounds. How many bags
are there of each size?
A. 12 small bags and 13 large bags
B. 13 small bags and 12 large bags
C. 15 small bags and 10 large bags
D. 14 small bags and 11 large bags

Answers

Answer 1

Answer:

B. 13 small bags and 12 large bags

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of small bags.

y is the number of large bags.

The Tuesday morning delivery consists of 25 bags

This means that [tex]x + y = 25[/tex], that is [tex]y = 25 - x[/tex]

Bunyan Farm sells 3 pound and 5 pound bags of onions. Total of 99 pounds.

This means that [tex]3x + 5y = 99[/tex]

Since [tex]y = 25 - x[/tex]

[tex]3x + 5(25 - x) = 99[/tex]

[tex]3x + 125 - 5x = 99[/tex]

[tex]-2x = -26[/tex]

[tex]2x = 26[/tex]

[tex]x = \frac{26}{2}[/tex]

[tex]x = 13[/tex]

[tex]y = 25 - x = 25 - 13 = 12[/tex]

So 13 small bags and 12 large bags.


Related Questions

please help, this is due soon!

Answers

Answer:

289 meters I believe.

Step-by-step explanation:

Solve 3m - 6 = 33
Your final line must say, m= ...

Answers

Answer:

m = 13

Explanation:

3m - 6 = 33

Add 6 To Both Sides

3m − 6 + 6 = 33 + 6

3m = 39

Divide Both Sides By 3

3m / 3 = 39 / 3

m = 13

- PNW

Need help on this please

Answers

Answer:

Step-by-step explanation:

Because this is a quadrilateral, all the angles added up together will equal 360 degrees. By the nature of the quadrilateral, opposite angles are supplementary. Therefore, 180 - 115 will equal angle K:

180 - 115 = 65 degrees

A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of seats in each row

Answers

Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)

Evaluate 4
M-n if m= -7 and n = 5.

Answers

Answer: -12

Step-by-step explanation: because -7- 5= -12

Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

Answer:

Which ordered pairs are in the solution set of the system of linear inequalities?

y > Negative one-halfx

y < One-halfx + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.

(5, –2), (3, 1), (–4, 2)

(5, –2), (3, –1), (4, –3)

(5, –2), (3, 1), (4, 2)

(5, –2), (–3, 1), (4, 2)

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

give me brainliest

TIMED QUESTION HELP FAST

Answers

Answer:

D

Step-by-step explanation:

A and B cannot be the right answers, because the left part of the graph is inclusive (so the right answer has to include [tex]x\leq 1[/tex] instead of [tex]x<1[/tex]).

C can also not be the right answer, because for [tex]x=0[/tex], [tex]y=-1[/tex] instead of [tex]2(0)^2 = 0[/tex].

So D is the correct answer by elimination.

Lisa ran 3 1/2 miles in 21 minutes at that rate how long will it take her to run 5 miles

Answers

Answer:30

Step-by-step explanation: please

Lisa take approximately 30 minutes(time) to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

To find out how long it will take Lisa to run 5 miles at the same rate, we can set up a proportion using the distance and time data.

Let's denote the time it will take her to run 5 miles as "t" (in minutes).

The proportion can be set up as follows:

(3.5 miles) / (21 minutes) = (5 miles) / (t minutes)

Now, cross-multiply and solve for "t":

3.5 × t = 21 × 5

3.5t = 105

Divide both sides by 3.5 to isolate "t":

t = 105 / 3.5

t = 30

So, it will take Lisa approximately 30 minutes to run 5 miles at the same rate she ran 3 1/2 miles in 21 minutes.

To know more about distance

https://brainly.com/question/26550516

#SPJ2

One line passes through the points (0, 2) and (3, 4). Another line passes through the
points (3,5) and (5,2). Are they parallel or perpendicular?

Answers

they are perpendicular

The principal is 2200.00 and the rate of interest is 7% what is the final account balance after two years

Answers

Answer:

2508

Step-by-step explanation:

We are given that

Principal ,P=2200

Rate of interest, r=7%

Time, t=2 year

We have to find the final account balance after two years.

[tex]S.I=\frac{P\times r\times t}{100}[/tex]

Using the formula

[tex]S.I=\frac{2200\times 7\times 2}{100}=308[/tex]

Amount=P+S.I

Amount=2200+308

Amount=2508

Hence,  the final account balance after two years=2508

y = x + 6
y = -2x - 3

Answers

Answer:

(x,y)=(-3,3)

Step-by-step explanation:

What is the percent of increase from 75 to 87?

Answers

Answer:

16 percent

Step-by-step explanation:

+16%

Here is how i found the answers 87-75=

The unit prices and quantities for two goods for two years
are shown in the table below. Assume that consumers are
purchasing 8 units of water and 10 loaves of bread. Also
assume that Year 1 is the base year.
Year
Price of Water Price of Bread
(dollars) (dollars)
$1.00
$2.00
1
2
2.00
3.00

Answers

Answer: $28

Step-by-step explanation:

The price of water in Year 1 is $1 per unit. There are 8 units so their value is:

= 8 * 1

= $8

Price of a loaf of bread is $2. The basket contains 10 loaves of bread. Value is:

= 10 * 2

= $20

Total value of the basket in year 1 is:

= 20 + 8

= $28

Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Answers

Answer:

C. 10

Step-by-step explanation:

Two sides of the right triangle are equal to each other, which is 5√2.

The third side is the hypotenuse length = x

We can use pythagorean theorem to find x.

Thus,

c² = a² + b²

Where,

a = 5√2

b = 5√2

c = x

Therefore:

x² = (5√2)² + (5√2)²

x² = 50 + 50

x² = 100

x = √100

x = 10

PLEASE HELP ME OUT CCCCCCCCCCCCCCCCCC;

Answers

Answer:

I think it's the last to they sound way more independent!!!

an object is 279.4 centimeters wide. if you divide the object into 10 equal parts, how wide will each part be?

Answers

Cercel ben Türkçe biliyorum ben Türkçe
Very easy my dude.
279.4 / 10 = 27.94 cm.
Have a great day!

A rectangular garden has an area of 3/5 square miles. If its length is 7/8 miles, what is its
width?
Input your answer as a fraction.

Answers

Answer:

[tex]\frac{24}{35}mi[/tex]

Step-by-step explanation:

Area = length • width

area = [tex]\frac{3}{5}mi^{2}[/tex]

length = [tex]\frac{7}{8} mi[/tex]

width = x

[tex]\frac{3}{5} = \frac{7}{8} x[/tex]                   multiply both sides by [tex]\frac{8}{7}[/tex] (the reciprocal of [tex]\frac{7}{8}[/tex])

[tex](\frac{8}{7})(\frac{3}{5}) = x[/tex]

x = [tex]\frac{24}{35}[/tex]

Answer:

24/35 is your answer

Divide 3/5 by 7/8 to get the answer of 24/35

tn=2n-5n, find t7=
A)93
B)21
C)75
D)54

Answers

Answer:

Step-by-step explanation:

Mike has $75 to spend at a local model car show. The entrance price for the show is $20. At one seller’s stand, Mike finds some model cars that he likes that are $7.50 each. What is the maximum number of model cars that Mike can buy at that stand?

Answers

Answer:

Mike can buy 7 model cars

Step-by-step explanation:

The equation for this word problem would be

7.5x+20=75

subract 20 from both sides

7.5x=55

divide both sides by 7.5

x= 7.33 or 7 1/3 or 22/3

but since you cant buy a third of a car the answer would be 7

To prepare for a lab experiment, Ted is making a solution that uses two types of concentrations of HCI ( hydro boric acid) 80 ml of 50% HCI solution, and 120 mlL of 20% HCI solution. What is the HCI concentration of the mixes solution

Answers

Answer:

32%

Step-by-step explanation:

50% of the first solution is HCL, so it has

80 ml x 50% = 80 ml x 0.5 = 40 ml of HCL

Similarly the second solution has 20% of HCL, so

120 ml x 20% = 120 ml x 0.2 = 24 ml of HCL

The combined solution will have 40 ml + 24 ml = 64 ml of HCL.

The total volume of the 2 solutions is 80 ml + 120 ml = 200 ml.

We can now calculate the concentration of HCL in the mixed solution, by dividing the volume of HCL by the total volume of the solution,

64 ml / 200 ml = 0.32 = 32%


The cost of manufacturing a printer is $35. The retailer has a markup of 150%. What is the selling
price of the printer?

Answers

Answer:

$87.50

Step-by-step explanation:

35 is the original price. we are increasing it by 150% i like to break it up

100 percent increase would just be adding another 35 to it. so 35+35=70

then we have a 50% increase 35/2=17.50

70+17.50=87.50

The total number of people that went to the out of town tournament was 42. How many players in chaperones went on the trip?

Answers

This sentence makes no sense....

Answer:7  jogadore participaram do jogo

The relationship between a distance x in a garden and the corresponding distance y in a model of the garden is y = kx. A triangular path in the model has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of the actual path are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality?

Answers

Answer:

1/6

Step-by-step explanation:

Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent.


Band Preference for School Dance
Rap Rock Country Row totals
Grades 9–10 40 30 55 125
Grades 11–12 65 20 35 120
Column totals 105 50 90 245
40%
38%
32%
16%

Answers

Answer: 32%

Step-by-step explanation:

Number of students in grade 9-10 who likes rap = 40

Total number of students in grade 9-10 = 125

The percentage of the students in grades 9–10 who like rap music will be:

= Number of students in grade 9-10 who likes rap / Total number of students in grade × 100

= 40/125 × 100

= 0.32

= 32%

Answer:

32%

Step-by-step explanation:

What transformation is described by the
notation (x, y) → (X + 4, y)?
A translation left 4 units
B translation down 4 units
C translation right 4 units
D translation up 4 units

Answers

Answer:

c - translation right 4 units

Answer:

C

Step-by-step explanation:

Translation to right 4 steps

Please help meeeeeeeeeeeeeeeeee

Answers

Answer:

The answer is A.

Step-by-step explanation:

Select all equations that match the tape diagram.

Answers

Answer:

6x+8=35

35=8+6x

Step-by-step explanation:

id.k about 35=8+x+X+X+x+X+x

HELP HELP IM GONNA DIE IF I DONT ANSWER THIS
Olivia’s passcode has four digits. The second digit from the left is three times the first (left-most) digit. The number formed by the last (right-most) two digits is three times the second digit from the left. The sum of the digits is 21. What is Olivia’s passcode?

Answers

Answer:

3927

Step-by-step explanation:

How I did this was just trial and error. 1315 doesn’t work as it only adds up to 10. Lets try 2618. It still only adds up to 17. Let’s try 3927. It Works! Many get confused as they assume “The number formed by the last (right-most) two digits is three times the second digit from the left.” As adding up the last two digits. However, getting 21 is not possible considering the circumstances If you add the last two digits as a multiple. If you have 1234, the 3” and 4” aren’t separate numbers. The 3” and 4” is 34” not 3+4.

3+9=12.     12+2=14.     14+7=21.

Using the hit and trial method and the given condition Olivia's passcode can be determined. Olivia's passcode is 3927.

Given :

Olivia has four digits passcode.

The following steps can be used in order to determine Olivia’s passcode:

Step 1 - Let Olivia's passcode be 'wxyz'.

Step 2 - The sum of all the digits is given by the equation:

w + x + y + z = 21

Step 3 - The linear equation that represents the situation "The second digit from the left is three times the first (left-most) digit" is given by:

x = 3w

Step 4 - Now, use the hit and trial method first put (w = 1) and check all the given conditions. If w = 1 then x = 3 and but the third condition that is the last (right-most) two digits is three times the second digit from the left is not satisfied.

Step 5 - Now, put (w = 3) and check all the given conditions. If w = 3 then x = 9 and the last two digits become 2 and 7. And the sum of all the digits is equal to 21.

Step 6 - From the above steps, it can be concluded that the passcode is 3927.

For more information, refer to the link given below:

https://brainly.com/question/25277954

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars? Express your answer rounded to the nearest cent

Answers

Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755

Which set of ordered pairs represents a function?
o {(-7, -1), (7, -1), (-9,3), (–9, 2)}
{(3,5), (7,9), (4,4), (3,3)}
O {(3,-2), (-7,6), (-5, -8), (3, -6)}
O {(0,2), (-9,7), (-6, -1), (-2,2)}

Answers

Answer:

The final set of ordered pairs represents a function.

Step-by-step explanation:

Each X value corresponds to exactly one y- value. Essentially, none of the x values are the same in the final set.

Other Questions
Please help I need due rn What is something this country could do to make society better? Pls hurry!!! I need to finish! Look at the photo, its problem 38 that Im on. Which of the following is an incorrect statement regarding values?Values come from the interplay of ethics.Values represent our understanding of the purposes we will fulfill by making particular decisions.Values are positive abstractions.DValues are ideas that underlie conversations about business ethics.EValues capture our sense of what is good or desirable. 3. How can millions ofcompounds be made from theatoms of about 100 elements? Read the poem.The Whippoorwillby Madison Julius CaweinI.Above lone woodland ways that ledTo dells the stealthy twilights treadThe west was hot geranium red;And still, and still,Along old lanes the locusts sowWith clustered pearls the Maytimes know,Deep in the crimson afterglow,We heard the homeward cattle low,And then the far-off, far-off woeOf "whippoorwill!" of "whippoorwill!"II.Beneath the idle beechen boughsWe heard the far bells of the cowsCome slowly jangling towards the house;And still, and still,Beyond the light that would not dieOut of the scarlet-haunted sky;Beyond the evening-star's white eyeOf glittering chalcedony,Drained out of dusk the plaintive cryOf "whippoorwill," of "whippoorwill."III.And in the city oft, when swimsThe pale moon o'er the smoke that dimsIts disc, I dream of wildwood limbs;And still, and still,I seem to hear, where shadows gropeMid ferns and flowers that dewdrops rope,Lost in faint deeps of heliotropeAbove the clover-sweetened slope,Retreat, despairing, past all hope,The whippoorwill, the whippoorwill.Whippoorwill - a nocturnal bird with a distinctive call that is suggestive of its nameQuestion 1Part AWhat is a theme of The Whippoorwill?Nature soothes the heart and calms the mind.There is a balance between nature and the city.People sometimes long for what they cannot have.In order to move forward, people must leave the past behind.Question 2Part BHow does the theme in Part A develop in the poem?The city sky is filled with cloudy, gray smoke and it makes the speaker feel sad that the moon is hidden.The speaker thinks he hears the sound of the whippoorwill while walking in the city.The speaker recalls his fondest memories of nature while living in the city.The woeful sound of the whippoorwill echos the despair the speaker feels living in the city.PLEASEEEEEEEEEE 9/14 decimal rounded to the nearest hundredth What is the meaning of the phrase "U.S. foreign policy"?A. Any government policy concerning affairs within the United StatesB. Any action by Congress affecting the size of the U.S. armed forcesC. Any action by private individuals helping people in foreign countriesD. Any U.S. government action relating to other countries around the world Find AE if AB=12, AC=16, and ED=5. In PITI what does P stand for?O A. PrincipalO B. PrepaymentO C. PaymentO D. Penalty An atom or ion has 43 neutrons , 36 protons, and 36 electrons. Identify the element symbol, and determine the mass number and charge for this atom or ion. Which sentence best states a theme of "Rikki-Tikki-Tavi"? It takes practice to learn when to fight and when to give up. Friends are not always trustworthy. Sometimes the best action to take is no action at all. Even the young and inexperienced can stand up for what is right. 43?251051520What is the missing number? Consider the question of whether high school graduates are more likely to attend college if at least one of their parents went to college. Write a sentence about how one might approach this question through each of the following four ways of knowing:direct observationtrust in experts faithconsensus need help................ In a game of ice hockey, you use a hockey stick to hit a puck of mass 0.16 kg that slides on essentially frictionless ice. During the hit you exert a constant horizontal force on the puck that gives it an acceleration of 75 m/s2 for a fraction of a second. During the hit, what is the magnitude of the horizontal force that you exert on the puck the crowd at a sporting event is estimated to be 3000 people. the exact attendance is 2486 people. what is the percent error? pls help :) HELP PLSSS I WILL GIVE YOU THE TOP COMMENT!!! PLEASE HELP ME!! THANK YOUUU please help me on this this is for english 4 What is 14% of 106? What is 78% of 81?Please answer both questions.