120,000,000 grams is 120 Megagrams
Here, we want to make a conversion from grmas to Megagrams
Mathematically;
1,000,000 grams is 1 Megagram
so;
120,000,000 grams will be x megagram
Thus;
\(\begin{gathered} 1,000,000\text{ }\times\text{ x = 120,000,000 }\times\text{ 1} \\ \\ x\text{ = }\frac{120,000,000}{1,000,000} \\ \\ x\text{ = 120 Megagrams} \end{gathered}\)help pls. the question is in the picture at the top.
Answer:
solve for 6x+8
Answer:
x = 3
Step-by-step explanation:
Since ∠ P and ∠ S are congruent then the triangle is isosceles and
PT = TS , substitute values
7x + 4 = 5x + 10 ( subtract 5x from both sides )
2x + 4 = 10 ( subtract 4 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
A. 950
B. 38
C. 30
D. 25
Answer:
C
Step-by-step explanation:
because i did it in school and got it correct sorry if im wrong any way
I need the answer. Please help
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 180 cubic inches under a pressure of 5 pounds per square inch, what will be its volume if the pressure is increased to 9 pounds per square inch?
Answer:
100cubic inches
Step-by-step explanation:
varies inversely
pv = k
Find the constant of variation:
volume of 180 cubic inches under a pressure of 5 pounds
5 * 180 = k
k = 900
volume if the pressure is increased to 9 pounds per square inch?
9v = 900
divide both sides by 9
v = 100
The volume of a cylinder is 72 7 cm. If the radius is 3 cm, what is the height
of the cylinder?
3 cm
A. 4 cm
B. 8 cm
O C. 24 cm
D. 12 cm
Answer:
The answer is B. 8 cm
Please Help due in 1 min
No Links Allowed
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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What feature might Samantha have used to sort these shapes into the same group
Answer:
picture?
Step-by-step explanation:
a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
PLSSSSSSSSSSSSSSSS HELP WILL MARK BRAINLIEST Ella opened a coffee shop in her neighborhood. The graph below shows the number of cups of coffee sold each hour, x, on the opening day of the coffee shop.
Answer:
The answer is B
Step-by-step explanation:
I believe this is the answer because the number starts at 0 with is the beginning.
City planners want to put in a new road that connects Brown Road, represented by the line on the coordinate grid, and the School, represented by the point (1,3) . If the new road is perpendicular to Brown Road, what would be the slope of the line that represents the new road?
The slope of the new road based on the information given is 0.
What is a slope of a line?A slope of a line is defined in mathematics as the change in y coordinate with respect to the change in the x coordinate. The net change in y-coordinate is denoted by Δy, while the net change in x-coordinate is denoted by Δx. Where "m" represents the slope of a line. As a result, tanθ represents the slope of a line.
The slope of d street line is tan(90)
[if the angle made by a line with x axis is then, the slope of that line will be tan() ]
Here, the angle made by the d street line with x axis is 90 degrees. If a road is to be built which is perpendicular to d street , it should make 0 degrees i.e, it should be parallel to x axis. So, the slope of new road will be tan(0) = 0
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The degree of the polynomial function ƒ(#) is 3.
The roots of the equation f(x) = 0 are −1, 0, and 4.
Which graph could be the graph of f(x)?
The graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4. This can be obtained by
Which graph could be the graph of f(x)?Here in the question it is given that,
The degree of the polynomial function is 3.The roots of the equation when f(x) = 0 are −1, 0, and 4.We have to find the graph of the polynomial function f(x).
As given in the question the polynomial f(x) has 3 roots.
Now, when f(x) = 0, we are told that the 3 roots are,
⇒ x = - 1
⇒ x = 0
⇒ x = 4
The roots of a polynomial on a graph are the points where the graph curve crosses the x - axis which are called the x-intercepts.
By observing all the given graphs, the only graph that crosses the x-axis at the points x = - 1, x = 0, and x = 4 is the second graph which is graph 2.
Hence the graph of the given polynomial function is graph 2 given that the degree of the polynomial function is 3 and the roots of the equation when f(x) = 0 are −1, 0, and 4.
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Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
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6 divided by 0.528 long division (answer QUICKLY)
Answer: 11.36
Step-by-step explanation:
↓ Please look in the screenshot below...
please help me ☣️☢️☢️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️⬅️▫️
Answer:
(a) 27 degrees (nearest degree)
(b) 17.9 m (to one decimal place)
Step-by-step explanation:
Wow, that's along ladder, perhaps for the firemen!
From diagram,
(a)
sin(x) = 9 / 20 = 0.45
x = arcsin(0.45) = 26.74 degrees
(b)
height of wall ladder reaches
h = 20*cos(x) = 20*cos(26.74) = 17.86 m
• Simon's secret coffee recipe uses 4 sugar
cubes for every 12 cups of coffee he
makes. Last week he made 192 cups of
coffee. How many sugar cubes did he use
last week?
f(x) = 4x - 1 x = f(x) = - 49
The required simplified value of x for f(x) = -49 is given as -12.
What is simplification?The procedure in mathematics to work and crack the function to make the function or expression easy or more legible is called simplifying and the process is called simplification.
here,
Given function,
f(x) = 4x - 1
We have given that, f(x) = -49 for unknown x,
Now,
f(x) = 4x - 1
Substitute the value of f(x)
-49 = 4x - 1
4x = -49 + 1
4x = -48
x = -48/4
x = -12
Thus, the value of x is -12
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calculate by rounding off and compensating 823-273
Evaluate the expression (23 + m) Divided by 9
m =4
Answer:
=3
Step-by-step explanation:
(23 + m) Divided by 9
m =4
(23 + 4) / 9
27/9
=3
HELP ME WITH THIS ANSWER PLS
0) Multiply (5 x 10567 x 10), express in scientific notation
Answer:
3.8×10^8
hope it's helpful
The students in Mrs. Barnett's first-grade class sit down in a circle for show-and-tell. The circle they form has a diameter of 4 meters. What is the circle's radius?
Answer:
Step-by-step explanation:
If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.
Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.
Answer: lower death rates
Step-by-step explanation:
I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x
what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE
A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences
Answer:
I belive its A
Step-by-step explanation:
because it cant be b c nor d
Answer:
B
Step-by-step explanation:
A and C are congruent and so is AE and CE and E has congruent angles AKA angle side angle
At a sale this week, a desk is being sold for $536. This is 67% of the original price.
What is the original price?
Answer:
884.4
Step-by-step explanation:
Answer:
The original price is 895.12$
I haven't done percent in ages, lmk if you get it right
kudos to any other answer besides this
Step-by-step explanation:
please hel me.
i need help i don't know how to do this
The tables with their equations are
Table (a): y = 1/xTable (b): y = √xTable (c): y = x³Table (d): y = xHow to match the tables with their equationsFrom the question, we have the following parameters that can be used in our computation:
Tables and equations
Table (a)
Here, we notice that:
The output is the reciprocal of the input
This is represented as
y = 1/x
Table (b)
Here, we notice that:
The output is the square root of the input
This is represented as
y = √x
Table (c)
Here, we notice that:
The output is the cube of the input
This is represented as
y = x³
Table (d)
Here, we notice that:
The output is the same as the input
This is represented as
y = x
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Dividing integers, please help
Answer:
The percent of Dan's average did he score during this game is 11.11%
What percent of Dan's average did he score during this game?
Dan's score in the high school basketball team during last game= 18 points
Dan's score in the high school basketball team during this season = 20 points
Percent of Dan's score during this game = (20 - 18) / 18 × 100
= 2/18 × 100
= 11.11%
In conclusion, Dan scored an average percentage of 11.11% during this game.
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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.9 minutes and a standard deviation of 2.9 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. You may assume that the jets are lined up on a runway so that one taxies and takes off immediately after the other, and that they take off one at a time on a given runway.
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes? (Round your answer to four decimal places.)
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes? (Round your answer to four decimal places.)
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes? (Round your answer to four decimal places.)
Answer:
a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes
c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 8.9 minutes and a standard deviation of 2.9 minutes.
This means that \(\mu = 8.9, \sigma = 2.9\)
Sample of 37:
This means that \(n = 37, s = \frac{2.9}{\sqrt{37}}\)
(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?
320/37 = 8.64865
Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}\)
\(Z = -0.53\)
\(Z = -0.53\) has a p-value of 0.2981
0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.
(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?
275/37 = 7.4324
Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}\)
\(Z = -3.08\)
\(Z = -3.08\) has a p-value of 0.001
1 - 0.001 = 0.999
0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.
(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?
Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So
0.2981 - 0.0010 = 0.2971
0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes