area of 5 x 7 porch = 5*7 = 35 sq. ft.
area of 20 x 28 porch = 20 *28 = 560 sq. ft.
560 / 35 = 16
so 16 bags are needed
A grocery store bought milk for $2.20 per half gallon and stored it in two refrigerators. During the night, one refrigerator malfunctioned and ruined 13half gallons. If the remaining milk is sold for $4.04per half gallon, how many half gallons did the store buy if they made a profit of $116.76?
Total of 92 half gallons of milk they bought.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say they bought x half a gallon of milk.
Cost of buying ⇒
x × 2.20 = 2.2x
Since 13 half gallons were destroyed so
Remaining = x - 13
The selling price of remaining milk ⇒
(x - 13) × 4.04
Now,
Profit = selling price - cost of buying.
116.76 = (x - 13) × 4.04 - 2.2x
4.04x - 2.2x - 52.52 = 116.76
1.84 x = 169.28
x = 92
Hence "Total of 92 half gallons of milk they bought".
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1. Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn. 2. Graph the piecewise function
Hope this helps
I made the graph myself
46/23 in simplest form
Answer:
46/23 = 2/1 = 2
Step-by-step explanation:
Find the scale factor of the line segment dilation.
AB: endpoints (−6, −2) and (−6, 8) to A'B': endpoints at (−6, 0) and (−6, 5), centered at the (−6, 2)
a) -2
b) -1/2
c) 2
d) 1/2
Professor Bartlett teaches a class of 12 students. She has a visually challenged student, Louise, who must sit in the front row next to her tutor, who is also a member of the class. Assume that the front row has seven chairs, and the tutor must be seated to the right of Louise. How many different ways can Professor Bartlett assign students to sit in the first row
Final answer:
Professor Bartlett can arrange the students in 1,440 different ways in the first row, considering Louise must sit next to her tutor on the right.
Explanation:
Professor Bartlett teaches a class of 12 students and needs to seat them in the front row which consists of 7 chairs. Specifically, Louise, who is visually challenged, must sit next to her tutor on the right side. To determine the number of different ways the students can be seated in the first row, we first consider the places of Louise and her tutor. Since Louise's tutor must be seated to her right, they can be viewed as a single entity with two internal arrangements: Louise on the left and the tutor on the right. Therefore, there are now effectively 6 entities to arrange (Louise and her tutor considered as one, plus the 5 other students) in 6 chairs in the front row.
The number of ways to arrange 6 entities in 6 spots is calculated by 6 factorial (6!), which equals 720. However, since Louise and her tutor can switch places within their designated spot, we must multiply this number by the 2 internal arrangements possible, resulting in 720 * 2 = 1,440 different seating arrangements for the first row.
7y-23 plus 23x-16 plus 8x-21 show steps find x and Y
Numbers a,b,c,d are positive integers, theirs product is 128. What is their sum?
maggie has only dimes and quarters in her purse. she has 27 coins with a total value of 4.05. how many dimes does maggie have in her purse
By solving a system of equations, we will see that Maggie has 18 dimes and 9 quarters.
How to write the system of equations?First, we define the variables that we will use:
D = number of dimes.Q = number of quarters.There are a total of 27 coins, so:
Q + D = 27.
The total value is 4.05, so:
Q*0.25 + D*0.10 = 4.05
Then our system of equations:
Q + D = 27
Q*0.25 + D*0.10 = 4.05
To solve this we need to isolate one of the variables in one of the equations, I will isolate Q in the first one.
Q = 27 - D
Now we can replace this on the other equation and solve it for D:
(27 - D)*0.25 + D*0.10 = 4.05
6.75 - D*0.25 + D*0.10 = 4.05
6.75 - D*0.15 = 4.05
6.75 - 4.05 = D*0.15
2.70 = D*0.15
2.70/0.15 = D = 18
So she has 18 dimes, and then the other 9 conis must be quarters.
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Which of the following shows the correct order of the number below (1/2)^2, 2/3,0.45
A. (1/2)^2<0.45<2/3
B. (1/2)^2<2/3<0.45
C. 0.45<(1/2)^2<2/3
the answer is A
hope thip helps
Thank you, will give brainliest.
What does 10/2-3(5•0) equal to?
Quick answer 5.
Start with what is inside the brackets.
5*0 = 0
10/2 - 3(0) Anything times 0 is 0. the three disappears.
10/2 = 5 And that is your answer.
Frank earns $57,100 one year and receives a 7% raise in salary.what is his new salary?
A number cube is rolled and a marble is selected at random from the bag at he right. Determine each probability.
wheres the bag and everything else
what is 645 divided by 5
If y = 2x-3 find the value of y when x= 2
The formula P =6s gives the formula for the perimeter of a regular hexagon with sides length s. What is the perimeter of a regular hexagon with side length 3.4 cm?
what is the value f(-4)?
{-10 if x < -5
{x cubed if -5 less than or equal to x less than or equal to < 2
{2x + 4 if x > 2
a. -10
b. -12
c. -64
d. -4
A farmer has 113 sheep. 47 of them are males. How many more female sheep are there than male sheep?
Answer:
19
Step-by-step explanation:
After the charity walk, Janey talked with friends from 11:25 A.M to 11:40 A.M Then lunch was served from 11:45 A.M until 2:10 P.M How long did lunch last?
PLEASE ANSWER ASAP (10 Pts)
Solve for x.
x+3.2=−3.5
Enter your answer as a decimal in the box.
Can someone please help me?
Beth poured the same amount of juice into 10 glasses she use to quarts of juice how much juice is in each class
is (3)(4)+xy equivalent to 3x+4y
Help please
50 Points (10 points each) To receive full credit, each of your answers MUST include a correct unit such as mph, miles, hours, etc.
1. Hannah traveled 487 miles during an 11 hour road trip. What was her average speed during the trip (Round to the nearest tenth)?
2. Edward traveled for 8 hours at an average speed of 56 miles per hour. How far did he travel?
3. Maria traveled 687 miles at an average speed of 70 miles per hour. How long was she traveling (Round to the nearest hour)?
4. Jesse traveled for 13 hours at an average speed of 45 miles per hour. How far did he travel?
5. Rachael traveled 216 miles at an average speed of 45 miles per hour. How long was she traveling (Round to the nearest hour)?
1. 44.3 mph
2.448 miles in total
3.he traveled approximately 10 hours
4. 585 miles
5. she was traveling for 5 hours
What is the product of 7.5 and 1,000?
Write the standard form of the line that passes through the point (1, 5) and is parallel to the x-axis. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answer:
Equation of line passing through the point (a,b) and having slope m is given by :
→ [tex]\frac{y-b}{x-a}=m[/tex]
Equation of X axis is , y = 0
i.e slope , m= 0
Any line parallel to x axis have slope = 0
Equation of line passing through the point (1,5) and parallel to X axis is given by :
→ y - 5 = m( x -1)
As , m=0
→ y -5 = 0× (x-1)
→ y- 5= 0
→ y = 5 [ Final Answer]
What are the two numbers less than 20 with the most factors
Final answer:
The two numbers less than 20 with the most factors are 12 and 18, as each of them has six factors.
Explanation:
The question you're asking pertains to identifying the two numbers less than 20 that have the most factors. To find the numbers with the most factors, we list the number of factors for each number less than 20 and determine which have the most. Factors are the numbers you can multiply together to get another number. For example, 2 and 5 are factors of 10 because 2 x 5 = 10.
The number 12 has the factors 1, 2, 3, 4, 6, and 12, totaling 6 factors. On the other hand, the number 18 has the factors 1, 2, 3, 6, 9, and 18, also totaling 6 factors. Hence, the two numbers with the most factors less than 20 are 12 and 18, each with six factors.
Catie used 68 beads on 17 in of wire. She used 7 in of wire for one bracelet. Predict the number of beads she used on 7 in of wire. EXPLAIN
Factor the linear expression 15x + 6
Keisha is working on a math worksheet with 50 problems. She has completed 20 problems in 25 minutes. If she continues at the same pace, what will the total time be for her to complete the worksheet? A) 31.25 minutes B) 62.5 minutes C) 70 minutes D) 75 minutes Elim
We have that the total time be for her to complete the worksheet is mathematically given as
x=62.5minutes
Time
Question Parameters:
Keisha is working on a math worksheet with 50 problems.
She has completed 20 problems in 25 minutes.
Generally has completed 20 problems in 25 minutes.
20=25
50=x
Therefore
[tex]x=\frac{5-*25}{20}[/tex]
x=62.5minutes
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