percentage is a ratio of a number or fraction to 100
percentage =per(every) + cent (100)
per cent = per 100
percentage calculation formula (%) = (part / whole ) ×100
percentage increase equation = 100 ×( final - initial) /initial
ex1 : 2% is 2 percent = 2/100 =2:100
ex2: 35% = 35/100
48% = 48/100
ex3 : find the following 10% of 25,000
step 1 : convert 10% into fraction = 10/100
step 2 : multiply the fraction with value = 10/100× 25,000
answer = 2,500
ex4 : what is 7% of 68m ?
step 1 : convert 7% into fraction = 7/100
step 2 : multiply the fraction with value = 7/100 × 68
answer = 4.76 m
ex5 : The original price of a shirt was $10. It was decreased to $5 . What is the percent decrease of the price of this shirt?
step 1 : find the amount decreased = $10–$5 =$5
step 2 : write as part / whole = $5 / $10 = $0.5
step 3 : multiply by 100 = 0.5 × 100 = 50%
ex6 : Mary has a monthly salary of $21,000. She spends $350 per month on food. What percent of her monthly salary does she spend on food?
step 1 : write as part /whole and multiply by 100
= ( 350 / 21000 ) ×100 = 1.7 %
ex6 : The price of a pair of shoes was decreased by 21% to $100. What was the original price of the trousers?
step 1 : write % as fraction = 21/100
original price = y
(y × 21/100 ) = amount decreased --------- 1
y - amount decreased = $100 -------------- 2
rearrange equation 2 as;
y - $100 = amount decreased -------------- 3
when you equate both equation 1 and 3 you should get the ans y = $ 126.58
ex6 : The price of an item changed from $120 to $100. Then later the price decreased again from $100 to $80. Which of the two decreases was larger in percentage term?
step 1 : part / whole = (120 - 100) / 120 = 0.17 = 17%
step 2 : part / whole = (100 - 80) / 100 = 0.20 = 20%
The part were the same in both cases but the whole was smaller in the second decrease.
ex7 : A family had dinner in a restaurant and paid $35 for food. They also had to pay 9.5% sale tax and 10% for the tip. How much did they pay for the dinner?
for food = $35
sale tax = 9.5/100 × 35 = $3.33
tip = 10 /100 × 35 = 3.5
total = $45.83
ex8 : Smith invested $5000 for two years. For the first year, the rate of interest was 7% and the second year it was 8.5%. How much interest did he earn at the end of the two year period?
Answer
Interest at the end of the first year
7/100 * 5000 = $350
Interest at the end of the second year
8.5/100 * (5000 + 350) = $454.75
Total interest at the end of the two year period is
$350 + $454.75 = $804.75
Help asap.
Find an equation for g(x) in terms of the function f(x). For example, g(x)=10 f(9x+8)+7.
g(x)=
Answer:
g(x) = 3f(-x/2)
Step-by-step explanation:
g(x) is 3 times the height of f(x), and 2 times its width. It is also reflected over the y-axis.
The relevant transformations are ...
g(x) = k·f(x) . . . . scales f(x) vertically by a factor of k
g(x) = f(-x) . . . . . reflects f(x) over the y-axis
g(x) = f(x/k) . . . . scales f(x) horizontally by a factor of k
__
The three transformations we described at the beginning mean that g(x) is ...
g(x) = 3f(-x/2)
help plss i need ittttt
The bag contains 20 red marbles, 30 white marbles, and 40 blue marbles.
What is the ratio of red to blue marbles?
What is the ratio of white to red marbles?
Answer:
Red : Blue = 20: 40 = 1 : 2
White: Red = 30 : 20 = 3 : 2
What are the solutions of 12 - x2 = 0?
O x=2,5 and x = -2/3
O x=373 and x = -312
O x= 4/5 and x = -4/3
* x= 6 and x = -6
[tex]12 - 2x = 0 \\ - 2x = 0 - 12 \\ -2x = - 12 \\ - x = - 12 \div 2 \\ - x = - 6 ( - can \: be \: cancelled \: if \: its \: in \: both \: side)\\ x = 6[/tex]
kindly swipe right to left for full solution.
the solutions for the quadratic equation are 3.46 and -3.46
How to solve the quadratic equation?
Here we have the equation:
12 - x^2 = 0
To solve this, first, we add x^2 on both sides:
12 = x^2
Now we can just apply the square root on both sides, to get:
±√12 = x
±3.46
So the solutions are 3.46 and -3.46
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
Included in the definition of an elliptic curve is a single element denoted O and called the point at infinity or the ____ .
Answer:
Zero Point
Step-by-step explanation:
Solve for x.
4 + 3x = 16
To solve this equation we must isolate the variable.
3x = [?]
First subtract 4 from both sides of the equation.
Calculate the new value of the right side of the equation.
Step-by-step explanation:
4 + 3x =16
subtracting 4 on both sides
4-4 + 3x =16-4
0+ 3x = 12
3x = 12
x = 12/3
x= 4
12 and 300 as decimal
Answer:
12/300 as a decimal is 0.04.
help ill mark brainliest
Answer:
[tex]-2\frac{1}{2}[/tex]
Step-by-step explanation:
Rewriting our equation with parts separated
=[tex]2+\frac{5}{6} -5\frac{1}{3}[/tex]
Solving the whole number parts
[tex]2-5=-3[/tex]
Solving the fraction parts
[tex]\frac{5}{6} -\frac{1}{3}[/tex]
Find the LCD of 5/6 and 1/3 and rewrite to solve with the equivalent fractions.
LCD = 6
[tex]\frac{5}{6} -\frac{2}{6} =\frac{3}{6}[/tex]
Reducing the fraction part, 3/6,
[tex]\frac{3}{6} =\frac{1}{2}[/tex]
Combining the whole and fraction parts
[tex]-3+\frac{1}{2} =-2\frac{1}{2}[/tex]
Hence, the correct answer is -2 1/2
[RevyBreeze]
Your most trustful answer
How do I solve this?
Answer:
By using your brain? XD
Here's the answer:
2:5 of 63
2+5=7
2/7 X 63=18
5/7 X 63= 45
Tina recieves 18/63 (2/7)
Please mark as Brainliest
Which of the following graphs shows the solution set for the inequality below? |2x + 2| > 4
Answer:
Attached is what the graph should look like.
Step-by-step explanation:
|2x + 2| > 4
Separate the equations into two different ones:
2x + 2 > 4 2x + 2 < - 4
- 2 - 2 - 2 - 2
2x > 2 2x < -6
/2 /2 /2 /2
x > 1 x < -3
Hope this helps!
The length of a bedroom in a blueprint is 5in. and the width is 7in. The actual length of the bedroom is 12ft. Identify the actual width of the bedroom in feet.
To solve this problem, we can use cross multiplication:
First, we can to convert inches into feet so...
5 inches = 0.416667 ft
7 inches = 0.583333 ft
(0.416667 ft/ 0.583333 ft) = (12 ft/ x ft)
x = 16.8 ft
So the actual width is 16.8 ft.
Hope this helps!
one seventh of what number is five sixths?
Answer:
I think it's 56 is the answer
Pls help with this one
Answer:
1757.5
Step-by-step explanation:
10% of $1,850 is 185
5% of 185 is 92.5
1,850 minus 92.5 = 1757.5
please mark brainliest if this helped!
Answer:
b) $1,757.50
Step-by-step explanation:
15. 1,850 * 5
1,850 * 0.05 = 92.5 (how much was discounted)
1,850 - 92.5 = $1,757.50
Hope this helps!
Two people worked on a car. The first person charged $ 85 per hour, and the second person charged $ 120 per hour. The people worked for a combined total of 15 hours, and together they charged a total of $ 1450. How long did each person work?.
The number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
What is an equation?
An equation is formed when two equal expressions are equated so that the value of a variable can be found.
Let the number of hours for which the first person worked on the car is x
In order to solve the problem, we will make two equations. Now, since we know that the total number of hours for which the two-person worked on the car is 15, therefore, we can write it as,
[tex]x+y =15[/tex]
The amount charged by the first person is $85 per hour, while the amount charged by the second person is $120, and the total cost of the two is $1450 combined. therefore, the total cost can be written as
[tex]85x+120y = 1450[/tex]
As we got the two-equation solving the two-equation, to get our answer.
In the first equation, we will isolate y, in order to get the value of y in terms of x,
[tex]x+y = 15\\y = 15-x[/tex]
As we got the value of y, substitute the value in the second equation,
[tex]85x+120(15-x) = 1450\\85x+1800 - 15x = 1450\\70x = 350\\x = 5[/tex]
As we have the value of x, substitute the value in the first equation,
[tex]x+y=15\\(5)+y=15\\y=10[/tex]
Hence, the number of hours the first person worked on the car is 5, while the number of hours for which the second person working on the car is 10.
Learn more about Equation:
https://brainly.com/question/2263981
Simplify. please help!
Answer:
-3y
Step-by-step explanation:
Take the square root of each term inside the radical to get rid of the radical. The square root of 9 is 3 and the square root of y^2 is y, so the square root of 9y^2=3y. Put the negative back in front and you get -3y.
Someone please help me asap! I will mark as brainliest, thank you!!
Answer:
Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.
Step-by-step explanation:
Perimeter of ABCD = 2(24 + 26 + 28 + 25) = 206 mm.
8. The sum of two numbers is 15. Twice one number equals 3 times the
other. Find the numbers.
y > x + 1
y < 2x
x 2 >5
Which points are solutions to the system of inequalities shown below?
Answer:A D F
Step-by-step explanation:
Answer:
Step-by-step explanation:
See attached image.
I'm struggling with this question on quadratic equations and would like somebody to explain it to me. Thank you!
Hello, sorry for taking half an hour to respond.
a) If x represents the number of students in her class, we have :
The cost of a calculator on website C : 480 : x
The cost of a calculator on website D : 480 : (x+4)
b) We call the price of a calculator on website C as a, and the price on website D is a-6
Let's also call the amount of calculators if we buy on website C as d, and the amount of calculators if we buy on website D as d + 4
We have :
a.d = (a-6)(d+4)
Break the brackets out : ad = ad-6d + 4a - 24
=> -6d + 4a - 24 = 0
Divide both sides by 2
=> -3d + 2a - 12 = 0
=> 2a = 3d + 12
So, d is divisible by 3, and a is divisible by 2 => ad is divisible by 6.
And ad x the amount of students = 480
So, we can conclude that the amount of students is a factor of 80
Let's list out all of them : 1,2,4,5,8,10,16,20,40,80.
If there was 20 students :
The price of each calculator would be : 480 : 20 = 24
If it's 6 cheaper, it would be 24-6 = 18
And she would've gotten 480 : 18 (not divisible)
If you keep replacing like that, you'll eventually get the answer. I don't have time left, so the answer is 16 students. Hope it helps.
$13.12 for 9 bottles of soda. What is the unit price? Round to the nearest cent (hundredths place).
P.S. this is due today
Answer:
$1.45 is the unit price
Step-by-step explanation:
$13.12 total / 9 bottles = $1.45 per bottle
The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth.
15.7 square feet
19.6 square feet
42.8 square feet
78.6 square feet
Answer:
(b) 19.6 square feet
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...
A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²
The area of a base circle is about 19.6 square feet.
Answer:
19.6 square feet
Step-by-step explanation:
how to solve for x in this picture
Answer:
1
Step-by-step explanation:
Ratio between ABC and ADE
BC/DE = AB/AE
1/9 = x/9
x=1
Solve the following linear equations a) a+7 =15
Answer:
a = 8
Step-by-step explanation:
a + 7 = 15
a + 7 - 7 = 15 - 7 Subtract 7 from both sides.
a = 8
Answer is
A = 8
Because 8 + 7 = 15
The other way to explain we need to subtract 7 ( 7 -7 = 0 and 15 - 7 = 8 ) both sides so after subtracting you will get 8
What is the measure of ∠A ?
If CS = 4 and AD = 10, what is the measure of CD? Round to the nearest hundredth. Show all your work.
The measure of the length of line segment CD is; 12.8
Pythagoras theoremPythagoras theorem States that the square of the hypotenus of a triangle is equal to the sum of the square of the opposite and square of the adjacent side.
From the task content, the center of the circle is at point S and since CS = 4;
It follows that CA = 4× 2 = 8.Hence, it follows from Pythagoras theorem that;
CD = √(8² + 10²)CD = √64+100CD = √164.CD = 12.8Read more on Pythagoras theorem;
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PLS HELP OF AREA ON TRIANGLE!!!
Answer:
Area for Triangle is: 1/2bh or bh/2
Area for Trapezoid (As shown in picture):
1/2h(b1+b2)
You’d have to do 1/2 x 18(15+37) for the quesyion in the picture
Hope this helped!
Answer:
[tex] area = (\frac{1}{2} (a + b) \times h) \\ \frac{1}{2} \times (15 + 37) \times 18ft \\ \frac{1}{2} \times 52ft \times 18ft \\ divide \: 52 \: by \: 2 \\ 26ft \times 18ft = 468 {ft}^{2} \\ answer = 468 {ft}^{2}[/tex]
Find the mean of:
1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8
Answer: D.
Step-by-step explanation:
How do find the circumference?
Answer:
24π
Step-by-step explanation:
Circumference of a circle = πd
d = diameter
Step-by-step explanation:
so the formula for circumference is 2 pie r
d= 24
so obviously r=12
2×22/7×12= 75.42 and
ans= 24pie
Geometric mean between 9 and 25
Answer:
the answer is 15
The geometric mean of 25 and 9 is 15 . Example 2: ... So, the geometric mean of the three numbers is the cube root of their product.
Answer:
15
Step-by-step explanation:
the geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then
geometric mean of 9 and 25 is
[tex]\sqrt{9(25)}[/tex] = [tex]\sqrt{225}[/tex] = 15
Jenny wants to buy a new dress for her for school dance she borrows $25.63 from her sister to help pay for the dress then Jenny earns $16.33 helping her dad organized his home office if she gives all the earnings to her sister Jenny will still owe her sister $
Answer:
= $25.63 - $16.43
=$9.2
Jenny will still owe her sister $9.2
Answer:
Jenny owe her sister 9.3 dollars
Step-by-step explanation:
25.63 - 16.33
= 9.3