There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.
By using proportion method, the set-up is the same, I.e.
Further Explanation[tex]\frac{Part}{whole}[/tex] = [tex]\frac{percentage}{100}[/tex]
In any given expression:
The number that has the % sign is the percentThe number with the word “is” is the partThe number with the word “of” is the wholeExample 1:What number is 80% of 10?
It can be expressed as:
[tex]\frac{part}{10}[/tex] = [tex]\frac{80}{100}[/tex]
If we cross multiply, then we have:
10 x 80 = 100 x part
800 = 100 x part
[tex]\frac{800}{100}[/tex] = [tex]\frac{100}{100}[/tex] x part (800 cross out 100 to give 8 and 100 cross out 100)
8 = part
Example 2:3 is what percentage of 6?
It can be expressed as:
[tex]\frac{3}{6}[/tex] = [tex]\frac{percentage}{100}[/tex]
If we cross multiply, then we have:
3 x 100 = 6 x the percent
300 = 6 x the percent
[tex]\frac{300}{6}[/tex] = [tex]\frac{6}{6}[/tex] x the percent (300 cross out 6 to give 50 and 6 cross out 6)
50 = the percent
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1/6 the sum of 16 and 20 https://brainly.com/question/30031931/8 the sum of 23 and 17 https://brainly.com/question/957390KEYWORDS:
proportion methodpercentage problemcross multiplicationpercentmultiplyingThe proportion method is a way to solve percentage problems by setting up a proportion between the part and the whole.
Explanation:The proportion method is a way to solve percentage problems. To use this method, you need to set up a proportion between the part and the whole.
For example, if you have a class with 35 students and 13 of them are wearing sandals, you can find the percentage of students wearing sandals by setting up the proportion: 13/35 = x/100. Then, you cross multiply and divide: 13 * 100 = 35 * x. Solve for x to find the percentage: x = 37%.
State the x-intercept and the y-intercept of the line
[tex]x=-10, y=5\Longrightarrow\boxed{-10, 5}[/tex]
Given the equation of a circle, determine the center and the radius.〖(x+5)〗2+〖(y-1)〗2=9.
The equation of a circle is (x-h)2 +(y-k)2 = r2
Answer:
The center is (-5,1)
and
the radius is 3
Step-by-step explanation:
The given equation of the circle is
[tex](x+5)^2+(y-1)^2=9[/tex]
We can rewrite this equation in the form;
[tex](x-h)^2+(y-1)^2=r^2[/tex]
This implies that;
[tex](x--5)^2+(y-1)^2=3^2[/tex]
When we compare, we get;
(h,k)=(-5,1) which is the center and r=3 the radius.
The answer is:
The center of the circle is located on the point (-5,1) and the radius is equal to 3 units.
Why?To determine the center and the radius of a circle from its equation, we need to look for "h" and "k", being "h" the x-coordinate of the center and "k" the y-coordinate the center, then, calculate the radius.
Since we are given the ordinary equation of the circle, we can find the radius and the center directly.
The ordinary equation is:
[tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
Where,
h is the x-coordinate of the center
y is the y-coordinate of the center
r is the radius.
So, we are given the circle:
[tex](x+5)^{2} +(y-1)^{2} =9[/tex]
Which is also equal to:
[tex](x-(-5))^{2} +(y-(1))^{2} =9[/tex]
Where,
[tex]h=-5\\k=1[/tex]
[tex]r^{2}=9\\\sqrt{r^{2}}=\sqrt{9} \\r=3units[/tex]
Hence, the center of the circle is located on the point (-5,1) and the radius is equal to 3 units.
Have a nice day!
which equation shows the quadratic function used to solve 7x^2=9+x for x?
Answer:
Step-by-step explanation:
For this case we have the following equation of the second degree:
[tex]7x ^ 2 = 9 + x[/tex]
Rewriting:
[tex]7x ^ 2-x-9 = 0[/tex]
The solutions will be given by the following equation:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
We have to:
[tex]a = 7\\b = -1\\c = -9[/tex]
Substituting the values:
[tex]x = \frac {- (- 1) \pm \sqrt {(- 1) ^ 2-4 (7) (- 9)}} {2 (7)}\\x = \frac {1 \pm \sqrt {(- 1) ^ 2 + 4 (7) (9)}} {2 (7)}[/tex]
Answer:
Option D
Jim earns 3% commission every month on his total sales. This month, his total sales were $620,000. How much commission did Jim earn? Plz show work:)
A. $18,600
B.$20,600
C. $186,000
D. $206,000
The answer is A. $18,600 because $620,000 × 3% = $18,600
Find the area given figure. A) 44 B)60 C) 84 D) 72
Answer:
D) 72
Step-by-step explanation:
The way to find the area of this figure easily is to break it down in regular shapes we know. You can then see it as two horizontal rectangles on top and bottom, measuring 6 x 4 each, then a vertical rectangle in the middle measuring 4 x 6.
So, overall, we have 3 similar rectangles measuring 4x6 or 6x4... which are equivalent.
The area of each of those 3 rectangles is 24 units (6x4).
Since we have 3 of those: 3 * 24 = 72.
4 The pet store has 6 fish tanks.
Each tank has 7 goldfish and 5
Tetras. What is the total
number of fish (f) in the tanks?
x
= f
_= f
f
72 fish total. 12 fish in each tank.
_________________________
(g+t)n=f
g=Goldfish
t=Tetras
n=Number of fish tanks
*If I got it wrong, let me know*
Final answer:
The total number of fish in the tanks is 72.
Explanation:
To find the total number of fish in the tanks, we need to multiply the number of tanks by the sum of the goldfish and Tetras in each tank. Based on the information given, there are 6 tanks, and each tank has 7 goldfish and 5 Tetras.
So, the total number of fish (f) in the tanks can be calculated as:
f = (7 goldfish + 5 Tetras) * 6 tanks
f = (7 + 5) * 6
f = 12 * 6
f = 72
Therefore, the total number of fish in the tanks is 72.
Anaba is stacking cereal boxes in a pyramid-shaped display. The bottom layer has 10 boxes. There are two fewer boxes in each layer than the layer below. How many boxes are in display.
Answer:
30 boxes
Step-by-step explanation:
~ You begin with the bottom row, which has 10 boxes.
~ You do 10 - 2 to get the number of boxes in the next layer, which is 8.
~ You then take 8 - 2, which is 6 for the next layer up.
~ Take 6 - 2, which is 4 for the next layer up.
~ Take away another two: 4 - 2 is 2.
~ When you take 2 away from 2, you get 0, so you have no more boxes.
~ Then, you add all the different amounts of boxes for each layer:
-> 10 + 8 + 6 + 4 + 2
-> Group smaller numbers together to get two bigger ones:
-> 18 + 12
= 30
4 times the sum of 1 plus a number equals 24. Find the number.
Answer:
the number is 5
Step-by-step explanation:
we can divide 24 by 4 in order to find the number
24/4 = 6
now we need to determine what number plus 1 equals 6 by subtracting 6 - 1
6 - 1 = 5
the answer is 5
we can check this by plugging 5 into the equation:
4(5+1) = 24
4(6) = 24
24 = 24
Which function is a linear function?
Answer:
y = f(x) = a + bx
Step-by-step explanation:
independent variable = x
dependent variable =y
Answer:A linear function is a straight line which is just a linear function with the equation y=mx+b
Step-by-step explanation:
Help me guys ....
1.What is the probability that a passenger is traveling for business ?
2.Given a passenger did not check their bag,what is the probability that the passenger is traveling for business ?
Answer:
1. .21
2. .79
Step-by-step explanation:
1. 103/490
2. 387/490
Which expression is equivalent to 7^3 • 7-^5
I need help !
Anwer:
1/7^2
explantion:
The expression equivalent to 7^3 • 7-^5 is 1 / 7^2.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is,
7^3 • 7-^5
Now using the exponential property,
n^a . n^b = n^(a+b)
Therefore, we can write as,
7^3 • 7-^5 = 7^(3-5)
Solving we get,
7^3 • 7-^5 = 7^-2
Since, n^-a = 1/n^a
⇒7^-2 = 1 / 7^2
Therefore, we can write
7^3 • 7-^5 = 1 / 7²
this is the required equivalent expression.
Thus, the expression equivalent to 7^3 • 7-^5 is 1 / 7^2.
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simplify the following:a)12:18:36. b)320:480. c)16mm:480
Step-by-step explanation:
[tex]a)\ 12:18:36=\dfrac{12}{6}:\dfrac{18}{6}:\dfrac{36}{6}=2:3:6\\\\b)\ 320:480=32:48=\dfrac{32}{16}:\dfrac{48}{16}=2:3\\\\c)\ 16mm:480=\dfrac{16mm}{16}:\dfrac{480}{16}=1mm:30[/tex]
To simplify the given ratios, find the greatest common divisor (GCD) and divide all terms by the GCD. The simplified ratios are 2:3:6, 2:3, and 1:30. Refer to the solution for more details.
To simplify ratios, we divide both sides by their greatest common divisor (GCD).
a) 12:18:36
Find the GCD of 12, 18, and 36. It is 6.
Divide each number by 6:
12 ÷ 6 = 218 ÷ 6 = 336 ÷ 6 = 6The simplified ratio is 2:3:6.
b) 320:480
Find the GCD of 320 and 480. It is 160.
Divide both numbers by 160:
320 ÷ 160 = 2480 ÷ 160 = 3The simplified ratio is 2:3.
c) 16mm:480
Find the GCD of 16 and 480. It is 16.
Divide both numbers by 16:
16 ÷ 16 = 1480 ÷ 16 = 30The simplified ratio is 1mm:30. However, if there is no importance to specify units, simply 1:30 would be enough.
6 cm x 5cm x 4cm what is the volume of the prism in cubic centimeters
Answer:
120 [tex]cm^{3}[/tex]
Step-by-step explanation:
6 x 5 x 4 =120
Answer:
120 cm^3
Step-by-step explanation:
volume = length * width * height
volume = 6 cm * 5 cm * 4 cm
volume = 120 cm^3
Which expression best represents the area of the rectangle?
Answer:
length×width
Step-by-step explanation:
Multiplying the length of a rectangle by the width will always give you the area. If one value is missing replace it with x.
Length x width should give you the answer your needing
Find the range of the data set represented by this box plot.
40
80
76
56
Answer:
56
Step-by-step explanation:
through estimation, you can see that the lowest value is 84 and the highest value is 140. in order to calculate the range, subtract the highest value from the lowest value. 140-84=56. The range is 56.
Answer:
56
Step-by-step explanation:
Centennial park is evaluating
Answer:
270,000
Step-by-step explanation:
So, you have a number of people (15) that can stand comfortably within a certain area (5x8 ft = 40 sq feet). And you need to find out how many people can fit in the whole park area.
First step is to find out how big the park is, in square feet, so we can then evaluate the number of people that we can fit in.
You had the right number for calculating the area of the park:
A = 400 yards x 200 yards = 1,200 feet x 600 feet = 720,000 sq feet
Now, how many people can we fit in there? Let's use a simple cross-multiplication (x being the number of people fitting in the whole park, what we are looking for):
[tex]\frac{x}{720 000} = \frac{15}{40}[/tex]
By isolating x, we have x = (720,000 * 15) / 40 = 10,800,000 / 40 = 270,000
So, the park could accommodate 270,000 people.
That is of course if there are no trees, no benches, no kids playground or any other infrastructure in the park.
Find the height of the cylinder below whose volume is approximately 1000 cubic inches use 3.14 for pi rounder you're answer to the nearest hundredth show your work pls help this is. Big test I got 3 more questions to ask
Answer:
[tex]h=15.73\ in[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]V=1,000\ in^{3}[/tex]
[tex]r=9/2=4.5\ in[/tex] ----> the radius is half the diameter
substitute and solve for h
[tex]1,000=(3.14)(4.5)^{2} h[/tex]
[tex]h=1,000/[(3.14)(4.5)^{2}][/tex]
[tex]h=15.73\ in[/tex]
Answer:
r = 11 in V =968 pi in3
Step-by-step explanation:
got it right on edge
what type of checking account requires a certain amount of money to be kept in it at all times in order to avoid fees
Answer:
Minimum balance account requires an amount of money to left in it all times in order to avoid fees.
Step-by-step explanation:
We have "many types of account" available in the banking sectors. As per the convenience of the customer, they opt from them. The minimum balance account is the type of account in which the customer has to maintain a standard amount prescribed by the bank in his account, failing to maintain it will lead to the gathering of fine or fee.
Answer:
Minimum Balance account.
Step-by-step explanation:
A minimum balance account is an account type that requires a minimum balance as set by the bank, at all times, in order to waive maintenance fees.
Failing this, certain amount is charged when money is deposited in that account. It can range from few dollars to 500 dollars in some banks.
Help!!!!!!
complete the problem involving the linear equation.
Answer:
8. slope = 29. y-intercept = -310. in the attachmentStep-by-step explanation:
The slope-intercept form y = mx + b
m - slope
b - y-intercept → (0, b)
We have the equation
y - 2x = -3 add 2x to both sides
y = 2x - 3
slope m = 2
y-intercept b = -3
We need two points to draw a graph of this linear function.
One is y-intercept (0, -3). The second one is calculated by choosing any value of x and put it to the equation:
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1).
write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercept of 2 and a y intercept of -6
Answer:
y = [tex]-\frac{1}{3} x[/tex] + 2
Step-by-step explanation:
The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:
Slope(s) = Change in y ÷ change in x
s = [tex]\frac{0 - -6}{2 - 0}[/tex] = 3
The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = [tex]-\frac{1}{3}[/tex]
Reason: The product of slopes of lines perpendicular to each other have to be -1
So the slope of the perpendicular line that passes through (-6,4) is [tex]-\frac{1}{3}[/tex]
As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x
Taking another point (x,y) on the line,
[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x - -6}[/tex]
[tex]-\frac{1}{3}[/tex] = [tex]\frac{y - 4}{x + 6}[/tex]
y - 4 = [tex]-\frac{1}{3}[/tex]x - 2
y = [tex]-\frac{1}{3}[/tex]x + 2
To find the slope-intercept equation of a line that passes through a given point and is perpendicular to another line, we can determine the slope of the given line and use it to find the equation.
To find the slope-intercept equation of a line, we need to know the slope and the y-intercept. Since the line that this problem is referring to is perpendicular to a line with an x-intercept of 2 and a y-intercept of -6, we can determine the slope of the line we are looking for by taking the negative reciprocal of the slope of the given line.
The slope of the given line is found using the formula: slope = (y2 - y1) / (x2 - x1)
Once we have the slope, we can use the point-slope form of a linear equation to find the equation of the line that passes through (-6,4) and has the determined slope. Finally, we can rearrange the equation to obtain the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
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Which of the following would not round to 1.2 when rounded to the nearest tenth?
A.1.149
B.1.209
C.1.22
D.1.18
Answer:
Step-by-step explanation:
A is correct answer
20 points EZ question plz help urgent
What should be the height of the bar for 11-15 text messages?
A) 1
B) 2
C) 4
D) 5
Answer:
Its C
hope this helps!!
The correct answer is A .)1
The distance between points (3,7) and (x1,y1) is the square root of (x1 - 3)2 + (y1 - 7)2
True or False?
Answer : True
Explanation : It is according to distance formula.
The answer is True -Apex
Tina sells lampshades for $7 each and paper lanterns for $4 each at a one-day craft fair. She sells k lampshades and (k + 4) paper lanterns. The expression 7k + 4(k + 4) represents Tina’s total sales.
Select all the equivalent expressions for Tina’s total sales at the fair.
A 8k+16 B 11k+4
» 11k+16 D 7k+4k+4
» 7k+4k+16. How is it equivalent?
4xk = 4K 4x4= 16 +4K + 7k = 16+ 11k ( I would double check me
which of the following could be the graph of the line y=3x-2
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
[tex]y=3x-2[/tex]
Plot the line
To plot the line find the intercepts
The y-intercept is the value of y when the value of x is equal to zero
so
For x=0
[tex]y=3(0)-2=-2[/tex]
The y-intercept is the point (0,-2)
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
[tex]0=3x-2[/tex]
[tex]x=2/3=0.667[/tex]
The x-intercept is the point (0.667,0)
Plot the intercepts and then draw the line
What is the volume of the cone pictured? (Use 3.14 for π.)
785 ft 3
104.67 ft 3
261.67 ft 3
314 ft 3
Answer:
261.67 [tex]ft^{3}[/tex]
Step-by-step explanation:
The formula is 1/3 [tex]\pi r^{2}h[/tex]
Answer:
261.67 ft^3
Step-by-step explanation:
mark me brainy plz!
Use the information given in the table on the right to complete each of the following statements.
Brenda is 50 inches tall. Her z-score is
.
Answer:
0.5
Step-by-step explanation:
Given that height of 7 year old children are normally distributed with mean =49 inches and std deviation = 2inches
Brenda is 50 inches tall
This means her X score is 50
To convert this X score to Z score we use the formula given below
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Here we know all the values of x, mu and sigma
Just substitute
Z score
=[tex]\frac{50-49}{2} =\frac{1}{2} \\=0.5[/tex]
Thus Z score of Brenda is 0.5
Answer:
0.5
Step-by-step explanation:
I’m hella confused on all this. What’s EF
rationalized form means that the number shoudnlt be a decimal that has never ending digits.
hope this answer to your question :)
what is the next step in the construction of an angle bisector of angle ABC?
Answer:
A. Use straightedge to connect vertex B to right-most vertex of the equilateral triangle.
Step-by-step explanation:
The process is to create a bisector of angle ABC... so it means cutting angle at vertex/summit B in half.
Drawing a line from the vertex B to the right-most vertex of the equilateral triangle will deliver you the bisector.
The only answer choice that includes vertex B is the answer A, all other answers are dealing with vertex A and C... which will not help you to draw the bisector or angle ABC.
Answer:
Option A is right
Step-by-step explanation:
Given in the picture is an angle B formed by line segments AB and BC
To construct bisector of angle B
First with centre at B a circle is drawn which meets AB and BC at D and E respectively. With same radius equal to DE and centres of D and E two circles are drawn which intersect at the right most point.
The next step is join B to the rightmost vertex of equilateral triangles
This will be the angle bisector of angle ABC
Hence option A is right
a large pizza has a diameter of 14 inches and is cut into 6 equal pieces. Find the area of 2 pieces, round to the nearest hundredth
Answer:
The area of two pieces is [tex]51.28\ in^{2}[/tex]
Step-by-step explanation:
step 1
Find the area of the circle (large pizza)
The area is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=14/2=7\ in[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]A=(3.14)(7)^{2}[/tex]
[tex]A=153.86\ in^{2}[/tex]
step 2
Divide the area into 6 pieces
[tex]153.86/6=25.64\ in^{2}[/tex]
step 3
Find the area of two pieces
[tex]25.64*2=51.28\ in^{2}[/tex]