Answer:
(a) 87.5%
(b) 90%, 14.4 oz, 1.6 oz
Step-by-step explanation:
You want the fraction full a 64 oz container is if it holds 8 oz less than its capacity. You also want to know the amount that must be transferred from a 16 oz container if both containers are to be the same fraction full.
a) FractionThe amount in the 64-ounce container is ...
64 oz - 8 oz = 56 oz
The fraction of its capacity this represents is ...
(56 oz)/(64 oz) = 7/8 = 87.5%
The container is filled to 87.5% of its capacity.
b) TransferIf x is removed from a 16-ounce container and added to the 64-ounce container, their respective fill fractions are ...
(16 -x)/16 and (56 +x)/64
We want these values to be equal, so ...
(16 -x)/16 = (56 +x)/64
4(16 -x) = 56 +x . . . . . . . . . multiply by 64
64 -4x = 56 +x . . . . . . . . . eliminate parentheses
8 = 5x . . . . . . . . . . . . . . . . add 4x-56
x = 8/5 = 1.6 . . . . . . . . . . . divide by 5
When 1.6 ounces are removed from the 16-ounce container, its fill fraction will be ...
(16 -1.6)/16 = 1 - 0.1 = 0.90 = 90%
The 16-ounce container will be 90% filled, and will contain 14.4 ounces.
So, 1.6 ounces will need to be poured from the full 16 ounce container.
__
Additional comment
After receiving 1.6 ounces, the larger container will have 57.6 ounces. Its fraction full will be 57.6/64 = 90%, as required.
<95141404393>
Blank 1 - 87.5%
Blank 2 - 90%
Blank 3 - 14.4 oz
Blank 4 - 1.6 oz
Please answer all questions and number your answers.
Susie mixed 6 cups of popcorn with 2 cups of pretzels. She then divided the snack into bags with cup in each. After dividing, how many bags of snack bags will Susie have?
WHO ANSWERS ASP AND CORRECT GETS A BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
8 bags of snacks
Step-by-step explanation:
After mixing each snack, there will be a total of 8 cups of snack mix.
6+2=8
With 8 cups of snack mix being divided, and having one cup of snack mix in each bag, there will be a total of 8 snack bags.
help me pls thanks :) (also i need to finish my topics fast so i need answers and an explaination)
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
It takes 10 mins to fill a bath with just the hot tap and 15 minutes to fill it just with the cold tap.
How long wikll it take to fill the bath if you run both taps at once?
Please give a equation or the steps of solving, thanks a lot!
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Explanation:
Let's say the tub is 30 gallons. I'm picking this number because it's the LCM of 10 and 15. Picking the LCM means that later division operations result in a whole number.
The hot tap takes 10 minutes to fill the tub. Its rate is 30/10 = 3 gallons per minute.
Rate = (amount done)/(time)
The cold tap works at a rate of 30/15 = 2 gallons per minute.
When both taps are running at the same time, they combine to a total rate of 3+2 = 5 gallons per minute. Therefore, it will take 30/5 = 6 minutes if both taps are opened.
Time = (amount done)/(rate)
-------------------------
Another approach:
The hot water tap takes 10 minutes to do 1 job. That "1 job" refers to "fill the bathtub". The unit rate here is 1/10 of a job per minute.
Meanwhile, the cold tap has a unit rate of 1/15 of a job per minute.
The combined rate is 1/10 + 1/15 = 3/30+2/30 = 5/30 = 1/6 of a job per minute.
x = number of minutes it takes to fill the bathtub if both taps are going at once.
We can say:
(unit rate)*(time) = amount done
(1/6 of a job per min)*(x minutes) = 1 job
(1/6)x = 1
x = 6 minutes is the final answer
-------------------------
Another approach:
The template for problems like this is:
1/A + 1/B = 1/C
where
A = amount of time for the hot tap water (working alone)B = amount of time for the cold tap water (working alone)C = amount of time if the two taps work togetherWe end up with the equation
1/10 + 1/15 = 1/x
This can be rearranged into
(1/10+1/15)x = 1
and also rearrange into
(1/6)x = 1
Follow the steps mentioned earlier to end up with 6 minutes as the final answer
You flip a coin and draw a marble at random from a bag containing two purple marbles and one white marble The number of possible outcomes in the sample space is
Answer:
6 possible outcomes
Step-by-step explanation:
Given:
Flip a coin
Draw a marble at random from a bag containing two purple marbles and one white marble
To Find:
The possible outcomes = ?
Solution:
By Flipping a coin, we have two outcomes, either head or tail
For each of these outcomes we will either tale any one of the balls from the bag
So possible outcomes will be
Head - purple ball
head -purple ball
Head -white ball
Tail - purple ball
Tail -purple ball
Tail -white ball
So there are 6 possible outcomes.
The average grain of salt is 0. 0003 meters wide. Rhinovirus, which causes the common cold, is 0. 00000003 meters wide. How many times wider is a grain of salt than Rhinovirus? Choose the correct answer. A. 1 × 102 times B. 1 × 103 times C. 1 × 104 times D. 1 × 105 times
Number of times a grain of salt is wider than Rhinovirus
= width of average grain of salt / width of rhinovirus
=0.0003 / 0.00000003
=1 × 10^4
Hence, the number of times a grain of salt is wider than Rhinovirus is 10,000 times.
Given the equation 6y = 336, solve for y.
342
330
56
6
To get y by itself, you have to divide 6 on both sides.
6y/6= 336/6
y=56
List the sample space of a fair, 11-sided number cube rolled while playing a board game.
S = {1,11}
S = {1}
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
S = {1, 2, 3 ,4, 5, 6, 7, 8, 9, 10, 11}
At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.
a
50.2 feet
b
56.5 feet
c
100.5 feet
d
113.0 feet
The length of the metal frame that surrounds the trampoline can be calculated by subtracting the diameter of the mat from the diameter of the metal frame and then multiplying by π.
The diameter of the mat is 16 feet and the diameter of the metal frame is 18 feet, so the difference is 18 - 16 = 2 feet.
The length of the metal frame can be calculated as follows:
Length = π * (difference in diameter) = 3.14 * 2 feet = 6.28 feet
So, the length of the metal frame is 6.28 feet, which is closest to option a, 50.2 feet. The answer is therefore a.
A student wants to know the approximate distance between London and Beijing. Using a string, she finds that the distance on a globe between London and Beijing is about 36 centimeters and between London and New York is about 22 centimeters. The actual distance between London and New York is about 5000 kilometers. If she lets d represent the approximate distance in kilometers between London and Beijing, what is d rounded to the nearest whole number?
Answer: 8182
Step-by-step explanation:A correct proportion to use is 22 over 5,000 = 36 over d
Solve For Z & X
Answer choices for Z -
$1.51
$25.08
$33.93
$26.59
Answer choices for X -
$22.35
$1.27
$3.72
$383.66
Which expressions are equivalent to the expression 3x2−5a3+2y4?
Select all that apply.
2y4−5a3+3x2, 2y4+3x2−5a3, 3x2−2y4+5a3, or 3x2+2y4−5a3
Answer:
The first two answers and the last one are correct.
Step-by-step explanation:
In order to check if the expressions are equivalent, look at the number in front (coefficient) and its sign (positive/plus or negative/minus), the letter (variable) and its exponent.
In the question the 3x² is a (positive or plus) +3x²
The 5a³ is a (negative or minus) -5a³
The 2y^4 is also (positive or plus).
All of the signs in the answers are the same as the question (as well as the number, letter, exponent) EXCEPT for the third answer has a different sign. It has NEGATIVE 2y^4 and POSITIVE 5a³ which are wrong.
The terms can be rearranged, but they MUST keep their positive or negative signs with them, and keep them the same sign as the original question.
Does the following table show a proportional relationship between the variables xxx and yyy?
xxx \dfrac56
6
5
start fraction, 5, divided by, 6, end fraction \dfrac{25}{6}
6
25
start fraction, 25, divided by, 6, end fraction \dfrac{125}{6}
6
125
start fraction, 125, divided by, 6, end fraction
yyy 222 101010 505050
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
The correct option regarding whether the table shows a proportional relationship is given as follows:
Yes.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
The constant for a pair (x,y) is given as follows:
k = y/x.
When x = 5/6, y = 2, hence the constant is given as follows:
k = 2/(5/6)
k = 12/5
k = 2.4.
When x = 25/6, y = 10, hence the constant is given as follows:
k = 10/(25/6)
k = 60/25
k = 2.4.
When x = 125/6, y = 50, hence the constant is given as follows:
k = 50/(125/6)
k = 300/125
k = 2.4.
Same constant, hence the table in fact represents a proportional relationship.
More can be learned about proportional relationships at https://brainly.com/question/7723640
#SPJ1
Find the Annual Percentage Rate (APR)
I = 562.50$ P = 1500$ T = 5 years
Answer: The annual interest rate is 0.075 (look at the image for the answer)
Step-by-step explanation:
A polygon is shown:
A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 5 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is
square units. (Input whole numbers only, such as 8.) (5 points)
Answer:
The area of polygon MNOPQR = Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units.
Step-by-step explanation:
In the given polygon MNOPQR, side MN is parallel to side RQ and the side MR is parallel to side PQ
We will draw a perpendicular line from point O on the side RQ, which will intersect RQ at point S. So, we can now divide the whole polygon into two different rectangles MNSR and OPQS with the areas as A₁ and A₂ respectively.
In rectangle MNSR, length(MN) = 5 units and width (MR) = 3 units
According to the formula for Area of rectangle,
A₁ = (length)×(width)
A₁ = (5 units)×(3 units)
A₁ = 15 square units
Now in rectangle MNSR, side MN= side RS and side MR = side NS,
so RS= 5 units and NS= 3 units
That means, SQ= RQ- RS = 7-5 = 2 units
and OS= NS - NO = 3- 2 = 1 unit
In rectangle OPQS, we have length(SQ) = 2 units and width(OS) = 1 unit
So, A₂ = (length)×(width)
A₂ = (2 units)×(1 unit)
A₂ = 2 square units
So, the area of polygon MNOPQR = (Area of a rectangle that is 15 square units + Area of a rectangle that is 2 square units)
A building in a city has a rectangular base. The length of the base measures 60 ft less than three times three times the width. The perimeter of this base is 880 ft. What are the dimensions of the base?
Answer:
Answer is in the attached photo.
Step-by-step explanation:
SolutionThe solution is in the attached photo, do take note the perimeter of the rectangle is:
Perimeter = 2 x Length + 2 x Width
In how many ways can a group of 4 boys be selected from 10 if the oldest boy is included in each group?
Answer: 84 (look at the image for the solution)
Step-by-step explanation:
solve the number line fraction
Answer:
The firsy option is correct.
Step-by-step explanation:
[tex]\frac{5}{16}[/tex] + 1 [tex]\frac{8}{16}[/tex]
Help with this please.
Answer: look at the image for the answer and the explanation
Step-by-step explanation:
50 POINTS AND BRAINLIEST TO CORRECT ANSWER!!
The sum the age of a boy and his sister is 32 years. If the boy is 6 years older than his sister, how old is his sister?
TYVM!! :)
Answer:
The sister is 13 years old.
Step-by-step explanation:
Let the boy's age = b.
Let the sister's age = s.
b + s = 32
b = s + 6
s + 6 + s = 32
b = s + 6
2s + 6 = 32
b = s + 6
2s = 26
b = s + 6
s = 13
b = 13 + 6
s = 13
b = 19
Answer: The sister is 13 years old.
help please thanks for being kind and helpful if you do!
in a survey the ratio of people who bought red ballons to green ballons is 2 to 5 if the number of people who surveyed who brought red ballons is 620 how many people brought green balloons
Answer:1550
Step-by-step explanation:620 times 5 divided by 2
Maya measured the height of the seedling she was growing. She made a line plot to record the data. 1/2 is xx, 5/8 is xx, 3/4 is xxxx, 7/8 is xx. What was the growth, in inches, Maya's seedling?
Answer:
2 3/4 (mixed #) or 1.08267716536 (in conversion)
Step-by-step explanation:
the process is shown on the picture
The coordinates of the endpoints of QR are Q (8, 2) and R (5, 7). Which measurement is closest to the length of QR in units? A 5. 8 units B 5 units C 4 units D 3. 9 units
Answer:
qr is = to 5.83 so its closest to 5.8
so A my guy brainlyness please
Step-by-step explanation:
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{8}~,~\stackrel{y_1}{2})\qquad R(\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QR=\sqrt{(~~5 - 8~~)^2 + (~~7 - 2~~)^2} \implies QR=\sqrt{( -3 )^2 + ( 5 )^2} \\\\\\ \implies QR=\sqrt{ 9 + 25 } \implies QR=\sqrt{ 34 }\implies QR\approx 5.8[/tex]
20 points mathamatics!
Answer: 160
Step-by-step explanation:
Answer: 160m3
Step-by-step explanation:
For the first prism, you find the volume by multiplying the length of the prism by the width of the prism by the height of the prism.
V = w h l = 8m x 3m x 2m = 48m3
For the second prism, you do the same thing you did to the first one.
V = w h l = 4m x 4m x 7m = 112m3
Lastly, you add the volume of both prisms to get your answer.
48m3 + 112m3 = 160m3
P.S. Can you add me for brainliest
The tree grew from 32 ft to 45 ft in the span of ten years.
Find the percent change to the nearest whole percent
Answer:
40.63% to the nearest whole percent is 41
Step-by-step explanation:
(45 - 32) / 32) * 100 = 40.63 %
To round 40.63 to the nearest whole number consider the tenths’ value of 40.63, which is 6 and equal to or more than 5. Therefore, we have to round up: the whole number part of 40.63, 40, increases by 1 to 41, and the decimal point and all digits (.63) are removed...
40.63 rounded to the nearest whole number = 41
20 POINTS MATHEMATICS!! QUESTION IN THE IMAGE
What is the volume of these two prisms added together?
A) 408 in.3
B) 336 in.3
C) 264 in.3
D) 72 in.3
Answer:
408 in³
Step-by-step explanation:
I did the math so hopefully its correct. I'm pretty sure it is.
HELp
what the least possible digit u can make using 2,0,2,3. AND this number has to be divisible by 4
Answer:
0232
Step-by-step explanation:
0232/4 = 58
Find the area of a triangle with a base length of 4 units and a height of 5 units. (1 point)
a
8 square units
b
9 square units
c
10 square units
d
20 square units
Answer: C. 10
Step-by-step explanation:
The area formula for a triangle is 1/2 × b × h where b is the base and h is the height. If we plug in the length and height for the formula, we will get 1/2 x (4) x (5).
=1/2 (20)
=10
Let me know if this helps!
Help pls!
i have to turn this in soon!
Answer:
100%
Explanation:
To find percent increase, you first have to find the difference between the two values.
16 - 8 = 8
Next, you divide this new answer by the original value.
8 ÷ 8 = 1
Finally, you multiply by 100 to find your percent increase.
1 × 100 = 100%
