The average 12 ounce cola contains 33 grams of sugar. How many grams of sugar are contained in a 20 ounce bottle of soda?
Answer:
55 grams
Step-by-step explanation:
33 times 20 is 660. then you divide 660 by 12 which gives you 55.
There are 55 grams of sugar in a 20-ounce bottle of soda.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Suppose 4 pens cost $20, hence cost of 1 pen is (20/4) = $5.
From this unitary cost, we can determine the cost of any no. of pens.
Given that 12 ounces of cola contain 33 grams of sugar.
∴ 1 ounce of cola contains (33/12) = 2.75 grams of sugar.
Hence in a 20-ounce bottle, there will be (2.75×20) = 55 grams of sugar.
learn more about unitary method here :
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A real estate agent earned a commission of $7875 for selling a house. If his rate is 5.5%, find the selling price of the house.
Please help me with this
The volume of a cube is 27 in^3 How long is each side ? Show and explain your work for full credit.
Answer:
a = 3 inch
Step-by-step explanation:
Given that,
The volume of a cube is 27 cubic inches.
We need to find the side of the cube.
We know that, the formula for the volume of the cube is given by :
[tex]V=a^3[/tex]
a is the side of the cube
[tex]a=(V)^{1/3}[/tex]
Put V = 27
so,
[tex]a=(27)^{1/3}\\\\a=(3\times 3\times 3)^{1/3}\\\\a=3\ \text{inch}[/tex]
So, the side of each side of a cube is 3 inches.
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
PLEASEEEEE HELP THIS IS FOR AP STATS
Many colleges and universities require applicants to submit scores on standardized tests such as the SAT Writing, Math, and Critical Reading (Verbal)
tests. The college your little sister wants to apply to says that while there is no minimum score required, the middle 50% of their students have
combined SAT scores between 1530 and 1850. You'd feel confident if you knew her score was in their top 25%, but unfortunately she took the ACT
test, an alternative standardized test.
How high does her ACT score need to be to make it into the top quarter of equivalent SAT scores?
To answer this question you'll have to standardize all the scores, so you'll need to know the mean and standard deviations of scores for some group
on both tests. The college doesn't report the mean or standard deviation for their applicants on either test, so we'll use the group of all test takers
nationally. For college-bound seniors, the average combined SAT score is about 1500 and the standard deviation is about 250 points. For the same
group, the ACT average is 20.8 with a standard deviation of 4.8.
Answer:
Yes
Step-by-step explanation:
Yes
What does 8.42 mean in terms of time and distance?
Answer:
I think you need to add more information but this is my guess. It takes (blank) time to travel 8.42 miles
Step-by-step explanation:
An engine pulls four identical carriages. The engine is the length of
a carriage and the total length of the train is 86.8 m. Find the length of the engine
The answer is in the attachment . Kindly refer to it .
Solve the equation for x. Check to make sure the original equation has a true value for x you find
O solve
5(x+1)+4/6=4
Answer:
x=-1/3
your welcome, good luck :)
{HELP ASAP }WILL GIVE 50+ POINTS AND BRAINLIEST
which statements are correct steps in finding the linear equation of the line that passes through the points -1,7 and 2,4 using the point slope form method. select all that apply
Answer:
y = - x + 6
Step-by-step explanation:
[tex] point \: slope: y - y_{1} = m(x - x_{1})[/tex]
as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.
given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.
when substituted into the equation the unknown variable is the slope which we are solving for.
y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1
(given)
4-7 = m(2--1)
(substitution property of equality)
-3 = m(2--1)
(subtraction property of equality)
-3 = m(3)
(subtraction property of equality)
-3 = 3m
(multiplication property)
-1 = m.
(division property of equality)
m = -1
(symmetric property of equality)
_____________________________
once m is solved you just need the initial values to solve for the actual equation.
y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1
(given)
y - 7 = -1 (x - -1)
(substitution property of equality)
y - 7 = -1 (x + 1)
(subtraction property if equality)
y - 7 = -x - 1
(distributive property of equality)
y = -x - 1 + 7
(addition property of equality)
y = -x + 6
(addition property of equality)
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
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answer to this problem please click photo
The angles are complementary.
This means they add to 90 degrees.
(2x + 1) + (x + 5) = 90.
3x + 6 = 90. (Combine like terms)
3x = 84. (Subtract 6 from each side)
x = 28. (Divide 3 from each side)
x = 28
D is correct
HELP !!!! EASY QUESTION will give brainliest!!!!i
write the numeral for fifty million and sixty thousand
Answer:
Fifty million and sixty thousand
Step-by-step explanation:
5060000
1 million =1,000,000
Becky is typing an essay for her history class. The Essay needs to be 7800 words long Becky can type 30 words per minute. If becky has 600 words typed so far, how many hours will it take becky to finish typing the essay
Answer:
4.3 hours
Step-by-step explanation:
7800/30 = 260
260/60 = 4.333333 hours
Answer:
sorry I need more points to ask questions and I really need the answers I know you understand, thankyou :)
Step-by-step explanation:
:))
Tia is making strawberry lemonade for a baseball tournament. The recipe calls for 2
3
cup of strawberries for each gallon of lemonade. She has 6 cups of strawberries. How many gallons of lemonade can she make?
Tia can make
gallons of strawberry lemonade.
Answer:
9
Step-by-step explanation:
I just did the question got it right
Question 3 of 15
Which of the following measurements must be accurate when used in a
grocery store? Check all that apply.
D A. Weight of meat
B. Weight of produce
C. Price of an item
D. Number of customers shopping in one day
Answer:
D,C,B
Step-by-step explanation:
i hope this help you out if it does comment brainly
What value(s) of x make the following equation true?
2x - 6 = 3x + 1 - 2x - 7
Answer:
x = 0
Step-by-step explanation:
2x−6=3x+1−2x−7
Step 1: Simplify both sides of the equation.
2x−6=3x+1−2x−7
2x+−6=3x+1+−2x+−7
2x−6=(3x+−2x)+(1+−7)(Here we Combine Like Terms)
2x−6=x+−6
2x−6=x−6
Step 2: Subtract x from both sides.
2x−6−x=x−6−x
x−6=−6
Step 3: Add 6 to both sides.
x−6+6=−6+6
x=0
Which conversion factors are use to multiplay to 18 cm/ s to get meters per minute
Answer:
18 cm/s means 18 cm in 1 second. When converting 18 cm/s into meters per minute, you need to convert 18 cm into meters and 1 second into minute. 18 cm = 18/100 meters. 1 second = 1/60 minutes.
Step-by-step explanation:
Name the shaded angle in three different ways.
Answer:
The answers would be:
- ZYX
- XYZ
- Y
Step-by-step explanation:
This is because they will all make up the angle.
If you look at the other angles, such as:
XZY and YZX
It is crossing over from X to Z this is not possible as it not only doens't make any sense, but would not be creating the same angle as what is presented.
This also goes for, YZX instead of going in the correct angle, it would cross over from Z to X.
Carol, Ann, and Liz each bought a toy fish carols fish is 11 inches longer than ann fish liz fish is 8 inches longer than twice the length of ann fish ann fish is 10 inches long
Answer:
2 inches
Step-by-step explanation:
liz's fish is 8 inches longer than ann's and her fish is 10 inches long 10-8=2
Solving equations with one variable
Segment HK is divided by point J at a ratio of 3.4. If H(6,9) and J(12, 18), what are the coordinates of point K?
Answer:
Step-by-step explanation:
[tex]x=\frac{mx2+nx1}{m+n}\\let~coordinates ~of~K~be~(x,y)\\12=\frac{3x+4*6}{3+4}\\12*7=3x+24\\3x=84-24\\3x=60\\x=60/3=20\\18=\frac{3y+4*9}{3+4}\\18*7=3y+36\\3y=126-36\\3y=90\\y=90/3=30\\so~K~is~(20,30)[/tex]
I need the answer for this question it is too difficult for me
Answer:
b
Step-by-step explanation:
Use the formulas.
The formula for sphere is volume = 4πr³/3
We are using 3.14 for pi,
So its volume is about 7234.56.
The formula for cone is volume = πr²h / 3
r is the radius and h is the height.
So the volume of the cone is about 3617.28
Now, subtract.
You get 3617.28.
Choice D is the answer.
What is the value of X?
Answer:
11.5
Step-by-step explanation:
4x+14=60
6. A landscaping company ordered 13 plants and 4 trees for a total of $487. If plants are $8 each write and solve a linear equation to find the cost for each tree
Answer:95.75
Step-by-step explanation:
13x + 4y = 487
13*8 + 4y = 487
4y = 487 - 13*8
y = (487 - 13*8)/4
y = dollars per tree = 95.75
Answer:
trees are $95.75
Step-by-step explanation:
13(8) + 4t =487
104 + 4t= 487
104 -104 + 4t = 487 -104
4t = 383
4/4t = 383/4
t = 95.75
Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify the dependent variable and independent variable in this scenario.
Answer:
Independent variable- subway cost
dependent variable- nias money ($19.50)
Step-by-step explanation:
2n - 7 = 5?? help pleases
Answer:
n=6
Step-by-step explanation:
2n-7=5 (add 7 to -7 and 5)
2n=12 (divide both sides by two)
Solution:
n=6
Answer:
N = 1
Step-by-step explanation:
1.- 2n - 7 = 5
Subtract 5 on both side of the equal sign
2.- 2 = 2n
Divide 2 on both side to get the "n" by itself
3.- 2 divided 2 is 1
Solve for the short problem in the screenshot, please!
Answer:
77/5
Step-by-step explanation:
Simplify the expression.
Answer:
15 2/5
As an mixed fraction.
On 31st August 2018, Musk Traders purchased a machine on credit for a cost price of R402 500 (including VAt at 15 percent). Machinery is depreciated over six years according to the straight line basis and there is no residual value on this machine as it is highly specialised. Musk Traders has a 30 June year-end.
Calculate the depreciation and accumulated depreciation for 2019 and 2020
Answer:
The depreciated asset price has to be independent of VAT;
= 402,500/1.15
= $350,000
Annual Depreciation = 350,000/6 years
= $58,333
Musk Trading has a 30 June year end so;
2019September to June = 10 months
Depreciation;
= 58,333 * 11/12
= $48,611
Accumulated Depreciation = $48,611
2020Depreciation = Annual depreciation of $58,333
Accumulated depreciation
= 2019 depreciation + 2020 depreciation
= 48,611 + 58,333
= $106,944
If f(x) = 6x +5 and g(x) = 2x – 7 find (fºg)(x)
Answer:
f(g(x)) = 12x - 37
Step-by-step explanation:
Step 1: Define
f(x) = 6x + 5
g(x) = 2x - 7
Step 2: Find f(g(x))
f(g(x)) = 6(2x - 7) + 5
f(g(x)) = 12x - 42 + 5
f(g(x)) = 12x - 37