Answers
Answer:
350
Step-by-step explanation:
The solution to the equation can be found by multiplying by the denominator, then dividing by its coefficient.
[tex]0.22 = \dfrac{77}{x}\qquad\text{given}\\\\0.22x = 77\qquad\text{multiply by $x$}\\\\x=\dfrac{77}{0.22}=350\qquad\text{divide by the coefficient of x}[/tex]
The missing value in the fraction is 350.
__
Additional comment
Here, we have rewritten the percentage as a decimal fraction. You could also rewrite it as a ratio of two integer: 22% = 22/100. Sometimes there is confusion about percentages. It can help to think of the % symbol as meaning /100:
22% = 22/100
Of course, that is "twenty-two hundredths" or 0.22.
If you just write the problem using 22/100 for 22%, then you get the proportion ...
22/100 = 77/x
22x = 7700 . . . . . "cross multiply" (multiply by 100x)
x = 7700/22 = 350 . . . . divide by the coefficient of x
__
If you're paying attention, you see that the solution of this kind of equation has the appearance that the denominator variable and the left-side value are simply swapped:
[tex]0.22 = \dfrac{77}{x}\ \leftrightarrow\ x=\dfrac{77}{0.22}[/tex]
Effectively, we have multiplied both sides of the equation on the left by x/0.22. There is a property of equality that lets us do that. There is no such thing as a property of equality that says "swap with denominator." You must always pay attention to what is allowed by the properties of equality.
Related Questions
Are the following fractions equivalent? Explain.
15/60 = 3/4
Answers
Answer:
No
Step-by-step explanation:
is 15/60 = 3/4?
Find the lowest term of 15/60.
The LCD of 15 and 60 is 15 so......
15 ÷ 15
— —
60 ÷ 15
= 1/4 (the lowest term of 15/60)
Since 1/4 is not equal to 3/4
Then 15/60 is not equivalent to 3/4.
Hope it helps.
please please please I'm begging I need help ....... Describe the difference between these two straight lines.
Answers
Answer:
From the graph, the answer should be crisscross and perpendicular.
Step-by-step explanation:
Both are straight lines. As they have same slopes. They are parallel to each other. They do not crisscross each other and is not perpendicular.
Quadrilateral KLMN is similar to quadrilateral OPQR. Find the measure of side QR.
Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
M
21
N
R
13
K
43
0
Answers
Answer: 12.6=13
Step-by-step explanation:
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 3 or 5?
Answers
Answer:
3
Step-by-step explanation:
you should divide 52 by a number to get 3
The supplement of a 60∘ angle is an angle that measures how many degrees?
Answers
Answer:
120 Degrees
Step-by-step explanation:
Supplementary means angles that add up to 180 Degrees, so 180 - 60
Hope it helps
13.333...% as a fraction
Answers
Answer:
[tex]13 \frac{333}{1000}[/tex]
Step-by-step explanation:
The amount of numbers after the decimal point tell you the amount of zeros to put after the 1 in the denominator.
Just rewrite the whole number infront of the decimal point into the fraction
Answer:
[tex]\frac{2}{15}[/tex]
Step-by-step explanation:
[tex]13.333...\%=\frac{13.333...}{100}=\frac{10+3.333...}{100}=\frac{10}{100}+\frac{3.333...}{100}[/tex]
[tex]=\frac{1}{10}+\frac{\frac{10}{3}}{100}=\frac{1}{10}+\frac{1}{30}=\frac{4}{30}=\frac{2}{15}[/tex]
Brainliest if correct
Answers
Answer:
y = 3
Step-by-step explanation:
Since x = 4
4 + y = 7
Subtract 4 from both sides of the equation
y + 4-4 = 7 -4
Simplify
y =3
[RevyBreeze]
Area of a circle D=10
a.62.80
b.78.50
c.314
d.15.70
e.31.40
Answers
Area of circle= 5*5*3.14
Area of circle= 78.54
8. If most people score a 90 or higher on this exam (assume the mean is between 75-85), the
distribution will be:
a. Negatively skewed
b. Positively skewed
c. Not skewed (normally distributed)
d. Mesokurtic
Answers
Hike it is right?
In the Trendline option window (curve fitting), the Set Intercept value is set to zero. What does this mean
Answers
Answer:
the data is modeled as a proportion
Step-by-step explanation:
When the trendline is chosen to be linear, the intercept value can be computed from the data, or it can be set to some value of your choosing. When it is set to zero, the data is approximated by a line that goes through the origin. That is, the model is of a proportional relationship.
Find the circumference of the circle below:
15.7 cm
31.4 cm
100 cm
314 cm
help me
Answers
Answer:
31.4 cm
Step-by-step explanation:
[tex]C=2\pi r[/tex]
[tex]=2*\pi *5[/tex]
[tex]\neq 31.41593[/tex]
≈ 31.4
Rewrite the quadratic function below in standard form. y = 3(x+9)(x+1)
Answers
Answer:
y = 3x² + 30x + 27
Step-by-step explanation:
Formula: Ax + By = C
y = 3 (x + 9) (x + 1)
y = 3x + 27x + 3x + 7
y = 3x² + 30x + 27
Despite booming new car sales with their cha-ching
sounds, the average age of vehicles on roads is not
going down. The bar graph shows the average price of
new cars in Country A and the average age of cars o
roads for two selected years. In 2014, the average price
of a new car was $37,600. For the period shown, new-
car prices increased by approximately $1250 per year.
If this trend continues, how many years after 2014 will
the price of a new car average $47,600? In which year
will this occur?
How many Years after 2014 will the average price of new cars average $47,00?
I provided a Picture for the graph! Thanks a ton!
Answers
Answer to the 1st question: 8 years
Answer to the 2nd question: The year 2022
=======================================================
Further explanation:
x = number of years after 2008
y = average price of a new car
The prices are going up by $1250 per year on average. This is the slope because the slope is the rate of change. So m = 1250.
The y intercept is b = 30100 as this is the price in 2008.
This leads us to go from y = mx+b to y = 1250x+30100
Plug in x = 0 and you should get y = 30100.
Also, plugging x = 6 into the equation leads to y = 37600 to help confirm things.
-----------------
Next, we plug in y = 47600 and solve for x.
y = 1250x+30100
47600 = 1250x+30100
47600-30100 = 1250x
17500 = 1250x
1250x = 17500
x = 17500/1250
x = 14
This means 14 years after the year 2008 is when the average new car price will be $47,600.
2008+14 = 2022
2022-2014 = 8
Therefore, 8 years after 2014 (aka the the year 2022) is when the new car average price will be $47,600.
I need help please someone help. I have to convert from base 10 to another base.
Answers
Answer:
it is 2ca base 16
(2x-3)(3x+4) expand and simplify?
Answers
Answer:
6x2-x-12
Step-by-step explanation:
The given expression:
(
2
x
−
3
)
(
3
x
+
4
)
Simplify by using the FOIL method:
(
2
x
−
3
)
(
3
x
+
4
)
=
2
x
⋅
3
x
+
2
x
⋅
4
−
3
⋅
3
x
−
3
⋅
4
=
6
x
2
−
x
−
12
Therefore, the simplest form of the given expression is
6
x
2
−
x
−
12
.
Ahmad has $112 in his checking account and earns $75 per weeks
working part-time. Assume he has no expenses currently.
Calculate how much will Ahmad save in his account at the end of 4
weeks 2
Answers
Answer:
your is.... 2212
Step-by-step explanation:
7 days in a week, right?
7 * 4 = 28
75 x 28 + the additional 112
Micah is buying items for a birthday
party. If he wants to have the same amount of each
item, what is the least number of packages of cups
he needs to buy?
Help thanks
Answers
6x4 is 24
and 8x3 is also 24
so 4 cups and 3 plates would give him 24 of each.
Answer:
Micah needs to buy 4 packs of cups and 3 packs of plates.
Step-by-step explanation: Micah wants to buy the same amount of both the supplies, so we have to find the LCM of 8 and 6, which would be 24. 6x4=24 and 8x3+24. Good Luck and Stay Brainly!
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: _.___x10^__ )
Answers
Answer:
The average size of a human cell is one-ten-thousandths (0.0001) of a meter. Write it in scientific notation. ( Follow this format without spaces: 1769 ma 20
Equations of the form cosθ=k where -1 ≤ k ≤ 1 has/have ______________ solution(s).
A. two
B. infinitely many
C. one
D. none
Answers
A bag contains sixty marbles. Adam takes 18 of them. The rest are shared equally between Oscar, Priya and Daisy. How many marbles does Daisy get?
Answers
Answer:
14
Step-by-step explanation:
Take away the marbles that adam has
60-18 = 42
There are 42 marbles to divide between Oscar, Priya and Daisy.
Divide 42 by 3
42/3 = 14
Daisy gets 14 marbles
Daisy gets 14 marbles
How to determine the amount Daisy got?The number of marbles in the bag is:
Marbles = 60
When Adam took 18 marbles, the remaining number of marble is:
Marbles = 60 - 18
Marbles = 42
When the remaining marbles are shared by Oscar, Priya and Daisy.
The amount by Daisy is:
Daisy = 42/3
Daisy = 14
Hence, Daisy gets 14 marbles
Read more about quotients at:
https://brainly.com/question/7068223
Do this problem 3 2/3x-4/5(x-3 3/4)
Answers
-4x^2+15x+10/ 5x
Answer if the X is next to the 2/3 (multiplying 2/3):
(43/15) x +3
Simplify the expression.
2.4 - 4.3n - 3n + 6
Answers
Answer:
-7.3n+8.4
Step-by-step explanation:
combine like terms
Hope this helps! Have a great day!!
Answer:
8.4 - 7.3n
Step-by-step explanation:
1. Rearrange
2.4 - 4.3n - 3n + 6 = 2.4 + 6 - 4.3n - 3n
2. Combine like terms
2.4 + 6 - 4.3n - 3n = 8.4 - 7.3n
The answer is 8.4 - 7.3n
Hope this helps :)
Have a great day!
A new movie theater opens at the local mall. During the first month, the owner collected information
on how many customers they had throughout each day. The owner concluded that the number of
customers the theater has at any given moment can be represented by C(x) = -x2 + 11x where x
represents the number of hours that the movie theater has been open on a given day. The theater
opens at 12:00 PM.
At what time does the theater have no customers?
a.
11:00 PM
b. 5:30 PM
c. 2:00 PM
d. 8:30 PM
Answers
The time at which the theatre does not have any customers is; Choice A: 11:00 PM
Functions and variableFrom the task content;
The function which represents the number of customers the theater has at each point in time is;C(x) = -x² + 11xHence, when C(x) = 0, the theater has no customers.
0 = -x² +11xDivide through by x;
0 = -x +11x = 11.
Read more on functions and variables;
https://brainly.com/question/24253401
What is the length of ONE side in a square if the perimeter is 4x + 25
Answers
Answer:
Hi, you already asked this question, the answer is 6...
Step-by-step explanation:
3. Over the next two days, Job.net Employment Agency is interviewing clients who wish to find jobs. On the first day, the agency plans to interview clients in groups of 2. On the second day, the agency will interview clients in groups of 4. If the employment agency will interview the same number of clients on each day, what is the smallest number of clients that could be interviewed each day?
Answers
Here is my answer. Good luck.
Homework Pls Help Me
Answers
Answer:
Just if you need help im a straight A student
Step-by-step explanation:
14 students have volunteered for a committee. Eight of them are seniors and six of them are juniors. (a) How many ways are there to select a committee of 5 students
Answers
======================================================
Explanation:
We have five slots to fill, which I'll label A through E.
There are,
14 choices for slot A13 choices for slot B12 choices for slot C11 choices for slot D10 choices for slot EEach time we fill up a slot, we count down by 1.
This gives 14*13*12*11*10 = 240,240 different permutations. If order mattered, then this would be the answer.
However, order doesn't matter on a committee without rankings. Each member has the same rank as any other.
Within any group of 5 people, there are 5! = 5*4*3*2*1 = 120 ways to arrange them. This means we divide that 240,240 figure by 120 to find the number of combinations.
There are (240,240)/(120) = 2002 different combinations.
---------------------------------------
Here's how we could have done the problem using the nCr combination formula.
Plug in n = 14 and r = 5.
n C r = (n!)/(r!(n-r)!)
14 C 5 = (14!)/(5!*(14-5)!)
14 C 5 = (14!)/(5!*9!)
14 C 5 = (14*13*12*11*10*9!)/(5!*9!)
14 C 5 = (14*13*12*11*10)/(5!)
14 C 5 = (14*13*12*11*10)/(5*4*3*2*1)
14 C 5 = (240240)/(120)
14 C 5 = 2002
a song has 540 beats. if the song is 3 minutes long, how many beats per minute does the song have? ( PLEASE AWNSER UNTIL 10 MINUTES AND I WILL DELETE)
Answers
Answer:
180
Step-by-step explanation:
Divide 540 by 3 to get 180 which is your answer!
Have a good day!
Please mark brainliest!
Solution:
Note that:
540 beats = 3 min.Simplify the equation to know how much beats in 1 minute.
540 beats = 3 min.=> 1 minute = 540/3 beats=> 1 minute = 180 beatsThe beats per minute in this song is 180 beats per minute.
y+2=-3(x-1)in slope intercept form
Answers
First you distribute the -3. So -3 times x which is -3x and -3 times -1 which is positive 3. Therefore you get y+2=-3x+3.
Then you subtract the 2 from both sides. 2-2=0, so you have just y. Now subtract 2 from the 3 on the right and you get 1. Therefore you get y=-3x+1.
help needed brainliest will be given for attempt
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Answers
Answer:
What is an example of how public conduct, even outside of the office itself, can affect one’s job?
Step-by-step explanation: