The process of solving a proportion is given below.
We are given that;
To show the process of solving a proportion
Now,
A proportion is an equation that states that two ratios are equal. For example, if we have 2 4 = 3 6[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , then we have a proportion.
To solve a proportion, we need to find the value of a missing term that makes the equation true. There are different methods to solve a proportion, but one common method is cross-multiplication. Here are the steps to solve a proportion by cross-multiplication:
Multiply the numerator of one ratio by the denominator of the other ratio.
For example, if we have 2 4 = x 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 2 by 6 and get 12.
Multiply the denominator of the first ratio by the numerator of the second ratio.
For example, if we have 2 4 = x 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] , then we multiply 4 by x and get 4x.
Set the two products equal to each other. For example,
if we have [tex]2 4 = x 6 {\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex], then we set 12 = 4x.
Solve for the missing term. For example, if we have 12 = 4x, then we divide both sides by 4 and get x = 3.
Check your answer by plugging it back into the original proportion.
For example, if we have x = 3, then we plug it back into 2 4 = x 6 [tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {x} {6}}}[/tex] and get 2 4 = 3 6
[tex]{\\displaystyle {\\frac {2} {4}}= {\\frac {3} {6}}}[/tex] , which is true.
Therefore, by proportion answer will be given below.
More can be learned about proportions at;
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Which part of the water cycle is this image most similar to?
29 cm
10 cm
8 cm
34 cm
26 cm
39 cm
Find the area.
Answer:
1246 sq cm
Step-by-step explanation:
First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.
34 x 39 = 1326
10 x 8 = 80
1326 - 80 = 1246
45 POINTS TO WHO EVER CAN SOLVE THIS QUESTION
Answer:
Step-by-step explanation:
for 5 it is the blues
Answer:
D is the answer
Step-by-step explanation:
pls help me on this.......
Hey there!
Your answer is [tex]-4x+7[/tex]
Here are the steps to solve:
Given:
[tex]-5x-(x-7)[/tex]
Distribute negative sign:
[tex]-5x+x+7[/tex]
Add like terms:
[tex]-4x+7[/tex]
Have a great day! Hope it helped!
Diego makes 6 anklets. Each anklets uses 9 inches of string. How many inches of string does Diego us?
Answer:
54 inches
Step-by-step explanation:
Diego is making 6 anklets, and we know that each anklet uses 9 inches of string.
That means that for every anklet, 9 inches of string are used. To solve , all we need to do is multiply the amount of anklets to the amount of strings.
9 * 6
54
pls this is due soon helopppp
Solve s/10 = 7
the solution is s = ___
Answer:
S=70
Step-by-step explanation:
(10/1)s/10=7(10/1) multiply 10/1 to both sides
s=70
Answer:s=70
Step-by-step explanation:
PLEASE ANSWER OFFERING BRAINLEST
Triangle MNQ is similar to triangle MLP. Determine the length of LP.
a. 2 inches
b. 9 inches
c. 12 inches
d. 16 inches
we can establish a ratio since triangle MNQ is equal to Triangle MLP.
your answer is B 9 inches
solve using any method 4x-y=20 and -2x-2y=10
Answer:
if you're trying to find the slope, it is (3, -8) were you looking for the slope?
Step-by-step explanation:
i hope this helps, have a great day:)
Answer: the answer is x =3, y = -8
Step-by-step explanation:
HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!
Answer:
I would have to guess c because it show a decrease in the number line
Step-by-step explanation:
Step-by-step explanation:
ɪᴛs ᴛʜᴇ ʟᴀsᴛ ᴏᴘᴛɪᴏɴ D
ᴀs ᴛʜᴇ ᴅᴏᴛ ɪs ᴘᴏɪɴᴛᴇᴅ ʙᴇᴛᴡᴇᴇɴ -15 ᴀɴᴅ -20
What is 12/10 as a mixed number?
Answer:
1 1/5
PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
The value of C is -3 and the value of B is 5
ExpansionGiven the expression
(2x + 3)(4x − 1)
On expansion, ww will have:
(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3
(2x + 3)(4x − 1) = 8x^2 + 10x - 3
Hence the value of C is -3
For the expression (x + 2)(2x^2 + x − 1)
Expnd
(x + 2)(2x^2 + x − 1) = 2x^3 + x^2 - x + 4x^2 + 2x - 2
(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2
Hence the value of B is 5
Learn more on expansion here: https://brainly.com/question/13602562
(tan^(2)x)/(secx)=secx-cosx how do i verify the identity
Answer:
sec x − cos x = sin x tan x? First convert all terms into sinx and cosx. Second apply fraction sum rules to the LHS. and replace secx with 1 cosx. The LHS, secx − cosx becomes 1 cosx − cosx. The RHS, sinxtanx becomes sinx sinx cosx or sin2x cosx.
Step-by-step explanation:
Simplify the expression.
2 (-5 - 7j)
Answer:
- 14j -10. the answer online
50 POINTS AND BRAINLIEST
I need to know the steps for solving this. I know the answer is no solution but i don't understand the steps. Please help!!!
1/1+z+4/z+z^2 +1
1/2z =4/2z^2 +1
1/2z=2(z^2+2)/2z^2
1/2z=z^4+2z^2
z^5/2+2z^2
=therefore it has no solution I think this is the stes i m not sure sorry i m not sure ,try asking somebody else to cuz i m not sure
Simplify (4+y) + (8y - 5)
Answer:
it is 9y-1
Step-by-step explanation:
You have to simplify the expressions.
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.
Answer:
a) The population of interest = 10,000 benefited employees. It includes all benefited employees.
b) The sample collected = 3,095. These are the benefited employees who participated in the study.
c) Indication of demographic variables as categorical or numerical:
Demographic data: Categorical or Numerical
Gender = Categorical
Age (years) = Numerical
Education level = Numerical
(years completed)
Marital status = Categorical
Household income ($) = Numerical
Employment Category = Categorical
Step-by-step explanation:
a) Data and Calculations:
Population of interest = 10,000 benefited employees
Sample = 3,095 participants
Demographic data:
Gender
Age (years)
Education level (years completed)
Marital status
Household income ($)
Employment Category
b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.
Danny flies a drone in a circular path around an object that is 210 feet west and 220 feet south of his position. The drone's path takes it over a point that is 160 feet east and 160 feet south of him. Find an equation for the drone's path. (Assume Danny is located at the origin, with the horizontal axis running east-west and the vertical axis running north-south)
Answer:
The answer is below
Step-by-step explanation:
A circle is the locus of a points such that its distance from a fixed point is always constant.
Since the drone moves in a circular path, therefore the path of the drone forms a circle. The equation of a circle is given by:
(x - h)² + (y - k)² = r²; where (h, k) is the center of the circle and r is the radius of the circle.
Danny is located at the origin. Since the drone flies in a circular path around an object that is 210 feet west and 220 feet south of his position. Hence the center of the circular path is (-210, -220).
Also, the drone's path takes it over a point that is 160 feet east and 160 feet south of him i.e. (160, -160). Therefore the radius of the circle is the distance between point (-210, -220) and point (160, -160)
[tex]radius=\sqrt{(160-(-210))^2+(-160-(-220))^2}=\sqrt{140500}[/tex]
Using (x - h)² + (y - k)² = r²:
[x - (-210)]² + [y - (-220)]² = (√140500)²
(x + 210)² + (y + 220)² = 140500
x² + 420x + 44100 + y² + 440y + 48400 = 140500
x² + y² + 420x + 440y - 48000 = 0
Helps pls help pls thank you so much
Answer:
Increases, same, increases, decreases
Step-by-step explanation:
I mean just look at the graph
ignore this:isnsjsbjs sjsdjsnsnssnsnnsnsns
Answer:
4
Step-by-step explanation:
i dont wanna explain but the answer is 4
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
I TYPED IN THE ANSWER CAN SOMEONE CORRECT IF IT IS WRONG?
Answer: No you are not wrong
Step-by-step explanation:
A circle has a radius of 15 feet. What is the area of
the circle?
Answer:
A = 706.5 ft 2
Step-by-step explanation:
A = π ( 15 ft ) 2
A = π 225ft 2
A = 225 π ft 2
A = 225 ⋅ 3.14 ft 2
The line is parallel to y = -3x - 2 and passes through the point (-4, 3)
Answer:
y = -3x - 9
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
m -> slope & b ->y-intercept
y = -3x - 2
So, slope of the required line = -3
(-4 , 3)
y - y1 = m(x - x1)
y - 3 = -3(x - [-4])
y - 3 = -3(x + 4)
y - 3 = x*(-3) + 4*(-3)
y - 3 = -3x - 12
y = -3x -12 + 3
y = -3x - 9
Help please. 7th grade
Help me pls pls pls pls
Answer:
1. 300
2. x-axis
3. 150
Step-by-step explanation:
Can y’all help me on question six?!
Answer:
The answer is C (2:1)
Step-by-step explanation:
1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.
8 / 4 = 2
4 / 4 = 1
Therefore, the answer is 2:1 (C)
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
Solve 3(x + 1) = −2(x − 1) − 4
-1
1
-3
5
Answer:
x = -1
Step-by-step explanation:
3(x + 1) = -2(x - 1 ) - 4
use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:
3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)
get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.
3x = -2x - 5
get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x
5x = -5
divide 5 from -5 and you get x = -1
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answer:
16 times larger
Step-by-step explanation: