Answer:
A] 37 / 3 = 12 1/3 ; B] 37 / 12 = 3 1/12
Step-by-step explanation:
Let small popcorn bag hold = p units popcorn. So, large popcorn bag hold 4 times ie 4p units popcorn.
Left popcorn = 3 1/3 ie 10 / 3 small bags , & 2 1/4 ie 9 / 4 large bags.
So, total popcorn left = Sum( No. of popcorn in each bag x no of bags) = [ 10 p / 3 ] + [ (9 x 4) p / 4 ] = 10p / 3 + 9p = (10p + 27p) / 3 = 37p / 3
A] Small bags for left popcorn = Total left popcorn / Per small bag popcorn = ( 37p / 3 ) / (p) = 37 / 3 = 12 1/3
B] Large bags for left popcorn = Total left popcorn / Per large bag popcorn = ( 37p / 3 ) / (4p) = 37 / 12 = 3 1/12
5. PA license plates have 3 letters followed by 4 numbers.
a. If the same letter or number can be repeated, how many can be made?
b. If the same letter CANNOT be repeated, how many can be made?
Answer:
A. 175,760,000
B. 156,000,000
Step-by-step explanation:
For part A:
There are 26 letters in the alphabet. Therefore, if there are 3 spots to use 26 letters, that is represented as [tex]26^3[/tex]. As for numbers, there are 10 digits from 0-9. So if there are 4 spots for numbers, the total possible number of sequences is [tex]10^4[/tex]. So you simply multiply [tex]26^3[/tex] and [tex]10^4[/tex] to get 175,760,000 possible combinations.
For part B:
If the same letter can't be repeated, instead of using an exponent, we have to use a factorial, but only for the 3 digits required in the license plate. These are called permutations and can be expressed as [tex]_2_6P_3[/tex], which is the same as saying 26 x 25 x 24. Since there is no change to number of numbers, that remains the same.
[tex]_2_6P_3 * 10^4 =26*25*24*10^4=156,000,000[/tex]
What is the sum of 3 1/4 and 4 3/4 simplify answer
Answer:
8
Step-by-step explanation:
3 1/4
+4 3/4
----------------
7 4/4
But we know 4/4 = 1
7 +1
8
Answer:
8
Step-by-step explanation:
3 and 1/4 + 4 and 3/4 =
3+4+1/4 +3/4
= 3+4+4/4 because 4 fourths is one whole
=3+4+1 = 8
6. If radius is 18 am and an angle at center of circle
is 120 degrees, then the area of the sector is.......
A. 382.4 cm
B. 339.3 cm?
C. 350 cm2
D. 300 cm?
Answer:
Try A
Step-by-step explanation:
382.4cm
The location of a public library is 12 miles east of a residential apartment. The location of a school is 5 miles south of the residential apartment. What is the SHORTEST distance between the public library and the school?
Answer:
13 miles
Step-by-step explanation:
12 miles
Home --------------------------------------------------------Library
|
5 miles |
|
|
|
School
We can draw an imaginary line betwen school and library. by using the pythagoras theorem, because it is a right triangle. the distance between school and library is 13.
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots. Which is the total weight of the lettuce and carrots in ounces?
A. 10 ounces
B. 12 ounces
C. 40 ounces
D. 72 ounces
The total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
As we know:
1 pounds = 16 ounces
Amount of lettuce = 8 ounce
Amount of carrots = 2 pounds = 2×16 = 32 ounces
Total weight of the lettuce and carrots in ounces = 8 + 32 = 40 ounces
Thus. the total weight of the lettuce and carrots in ounces is 40 ounces if Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots option (D) is correct.
Learn more about the unit conversion here:
brainly.com/question/14350438
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Paul can build a desk in 12
hours. Shawn can build the
same desk in 8 hours. How
long would it take them to
build it together?
[?] minutes
Answer:
288
Step-by-step explanation:
First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.
Then find a common denominator and add those together to find how much they could do together in 1 hour.
2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.
So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)
It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288
So it will take them 288 minutes to build the desk together.
Shawn is buying a house and needs a loan for $120,000. Several banks have offered mortgages . Which of these offers would result in Shawn paying least amount of interest?
Answer:
b
Step-by-step explanation:
After finishing an online purchase, a popup invites you to participate in a customer satisfaction poll.
What type of bias is most likely to present?
a) Sampling bias
b) Voluntary response bias
c) Self interest study
d) Loaded questions
Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake.
How many guests can she serve with all her cakes?
[3×2⁵-13 ×(-2)] + 2³ ÷ (-2² +3²) -3
Answer:
120.6 is the answer
Step-by-step explanation:
the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle
9514 1404 393
Answer:
177°, 3°
Step-by-step explanation:
If the smaller angle is s, then the sum of the two angles is ...
s + 59s = 180°
s = 180°/60 = 3° . . . . . divide by the coefficient of s
59s = 177° . . . . . . . . . find the larger angle
The two angles are 177° and 3°.
Help please! Ill give branliest :)
Answer:
425 grams divided by 28.3 = 1 ounce is about 15 ounces
Step-by-step explanation:
Since there are 425 grams in total and 28.3 GRAMS = 1 OUNCE that means. Every 28.3 grams in the total of 425 grams are ounces so we divide it by the 28.3 in order to find the ounces since every 28.3 grams are ounces!
Answer:
...............15 .................
Last year there were 750 students enrolled in Park School, but this year there are only 685 students enrolled. What is the percent of decrease? Round to the nearest tenth.
Answer:
91 (1/3)
Step-by-step explanation:
first do 750 / 100 becuase thats is 100%
the answer to 750 / 100 is 7.5 then take 7.5 what you do is 685 / 7.5 and you get the answer
Answer:
-8.6666666666667% decrease
Step-by-step explanation:
Help me please with an explanation
to please
Answer:
8 feet
Step-by-step explanation:
Volume = length * width * height
Substitute the values.
288 = 9 * 4 * height
Divide both sides by 36
height = 288/36
height = 8 feet
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answer:
B. neither of them are solutions
Which shows the best path to convert 100 liters to pints?
A liters -> cups -> pints
B liters -> kiloliters -> pints
C pints -> gallons -> liters
D pint -> quarts -> liters
Answer:
A
Step-by-step explanation:
100 liters is 416.7 cups and 416.7 cups is 211.3 pints.
What is the answer for this question
Answer:
68
Step-by-step explanation:
16^2= 2x16/16+16=32
32-100=68
What is the following quotient?
6square + 11square divided by
5square +3 square
What is the correct answer I will mark brainlist
Answer:
3rd
Step-by-step explanation:
MARK AS BRAINLEST!!
HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!
Answer:
7.07
Step-by-step explanation:
Heather received a 90 gift card for a coffee store. She used it in buying some coffee that cost $8.49 per pound. After buying the coffee, she had $56.04 left on
her card. How many pounds of coffee did she buy?
pounds
2
Answer:
Latoya bought 4 pounds of coffee.
Step-by-step explanation:
it sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:
90 - 57.68 = 32.32
Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:
32.32/8.08 = 4
Latoya bought 4 pounds of coffee.
Which of the following three-dimensional solids cannot be generated by rotating a two-dimensional figure around an axis?
sphere
pyramid
cylinder
cone
Answer:
Step-by-step explanation:
Sphere
triangleACB~triangleEFD
Answer: 4
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
[tex]\frac{y}{12}=\frac{5}{15}\\\\\frac{y}{12}=\frac{1}{3}\\\\y=4[/tex]
can someone tell me the answer please
You and a friend decided to open a photo print shop. The cost for printing a photo is $0.10 and sells for $0.25. The initial setup fee for equipment is $2,599. Determine how many photos you and your friend must sell to break even. Round your answer the ones place.
Answer:
2599 / 0.15 = 17327 (rounded)
Step-by-step explanation:
Can I have brainliest? Hope this helped and have a nice day!
A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards
greater than the height and the longer base to be 7 yards greater than the height. She wants the area to be 155
square yards. The situation is modeled by the equation h2 + 5h 155. Use the Quadratic Formula to find the
height that will give the desired area. Round to the nearest hundredth of a yard.
320 yards
c. 20.4 yards
b. 10.2 yards
d. 12.7 yards
a.
9514 1404 393
Answer:
b. 10.2 yards
Step-by-step explanation:
The quadratic formula tells you the solutions to ...
ax² +bx +c = 0
are given by ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Here, the quadratic equation we have is ...
h² +5h -155 = 0
So the solutions given by the quadratic formula are ...
[tex]h=\dfrac{-5\pm\sqrt{5^2-4(1)(-155)}}{2(1)}=\dfrac{-5\pm\sqrt{645}}{2}=\{-15.2,10.2\}[/tex]
The negative solution is not applicable in this situation, so the height that gives the desired area is 10.2 yards.
What are the volume and the surface area of this storage chest?
Answer:
Hello!
answer: volume is 18
answer: surface area is 44
Hope that helps!
You spin a spinner that has 8 equal-sized sections numbered 1-8. Find each probability
Answer:
unlikely
Step-by-step explanation:
Answer:
1 to 7
Step-by-step explanation:
The probability of each landing on any of the numbers is 1 to 7
Find the numbers of faces, edges, and vertices of the solid.
number of faces:
number of edges:
number of vertices:
Answer:
# of faces:7
# of edges: 15
# or vertices: 10
Answer:
7 10 15
Step-by-step explanation: