The endpoints C and D has no midpoint M.
Step-by-step explanation:
step 1: The given endpoints of C and D are (-4,10) and (-4,10)
step 2: Midpoint formula = ((x1+x2)/2 , (y1+y2)/2)
step 3: Here, C(-4,10) = (x1,y1)
D(-4,10) = (x2,y2)
step 4: The midpoint represents the half distance of the line CD. Since C and D are same points, they cannot form a line. Therefore, the endpoints CD have no midpoint.
The longest side of a right triangle is 15 feet. The third side is 15 less than three times the shortest side. Find the length of the shortest side.
Answer: The shortest side is 9ft
Step-by-step explanation: If the longest side is identified as 15 ft, then we already have our hypotenuse (the longest side in a right angled triangle).
If the shortest side is labelled as x, then the third side of the triangle would be labelled as 3x - 15 (15 less than three times the shortest side).
Now we have three sides of a triangle which we can label as 15, x and 3x - 15
By applying the Pythagoras theorem, AC² = AB² + BC²
(Where AC is the hypotenuse and AB and BC are the other two sides)
15² = X² + (3x-15)²
By expansion, (3x-15)² becomes 9x² - 90x + 225
Hence, 225 = X² + 9X² - 90X + 225
225 = 10X² - 90X + 225
Subtract 225 from both sides of the equation
10X² - 90X = 0
Factorize the left hand side of the equation by 10x
10x (x - 9)= 0
Therefore, either
10x = 0 OR
x - 9 = 0
If 10x=0, then x=0. OR
If x - 9 = 0, then x = 9
The length of the shortest side is 9ft.
Y= 2x - 5
Y= -8x - 15
What is 2/6 times 3 in its simplest form
Answer:
1
Step-by-step explanation:
[tex] \frac{2}{6} \times 3 = \frac{2}{6} \times \frac{3}{1} [/tex]
[tex] \frac{2}{6} \times \frac{3}{1} = \frac{6}{6} = 1[/tex]
To multiply 2/6 and 3 in its simplest form, multiply the numerators and denominators together. The resulting fraction is 6/6, which simplifies to 1.
Explanation:To multiply fractions, multiply the numerators together and multiply the denominators together. In this case, multiplying 2/6 and 3 gives a result of (2 * 3) / (6 * 1), which simplifies to 6 / 6. Since the numerator and denominator are the same, the fraction is equal to 1 in its simplest form.
Learn more about Multiplying Fractions here:https://brainly.com/question/660389
#SPJ2
Complete the square for the function f(x) = x² - 10 + 21. What is the minimum point on a graph of this function?
(1, -4)
(-5, -1)
(-4,5)
(5, -4)
Answer: (5,-4)
Step-by-step explanation: if u meant x^2-10x+21, the minimum point is (5,-4)
At a track meet 2/7of the 756 competing athletes are sophomores. How many of the competing
athletes are sophomores? Round to the nearest athlete if necessary.
A. 204 athletes
B. 2,646 athletes
C. 108 athletes
D. 216 athletes
Answer:
D
Step-by-step explanation:
700/7= 100
100*2= 200
200+ (756-700)= 256
256 closest to 216 than to 204 or any other answer.
Answer:216.
Step-by-step explanation:
if ur doing the scantron so am i i hate it as much as you do
True or False: In a correlation coefficient, a weak correlation means that the line does not fit the data well.
True).
False).
Answer:
True
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
Answer:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
Brainliest pls ;)
The given algebraic expression simplifies to 8.9x + 1.66 by combining like terms.
Explanation:The question you've asked appears to be a linear algebraic expression. Here is how you would simplify it. First, you should group like terms together. So, the equation becomes 5.3x + 3.6x - 8.14 + 9.8. You will add together the x-terms and the constants separately, resulting in 8.9x + 1.66. Therefore, the simplified form of the given algebraic expression is 8.9x + 1.66.
Learn more about Algebraic Simplification here:https://brainly.com/question/34472544
#SPJ12
1. What is the Kinetic energy of a 1500 kg car going at a speed of 14 meters/second?
Show your work below
2. What is the KE if m = 2 and v = 5?
3. What is the KE if m = 4 and v = 5?
4. What is the KE if m = 2 and v = 10?
Step-by-step explanation:
1.
Kinetic energy =[tex]\frac{1}{2} mv^{2}[/tex]
Here m = 1500 kg and v = 14 meter / second
Kinetic energy = [tex]\frac{1}{2} mv^{2}[/tex]= [tex]\frac{1}{2}\times 1500 \times 14^{2}[/tex] joule =147000 joule
2.
Here m = 2 unit and v = 5 units
Kinetic energy =[tex]\frac{1}{2} mv^{2}[/tex] =[tex]\frac{1}{2}\times 2 \times 5^{2}[/tex] units =25 units
3.
Here m= 2 units and v = 5 units
Kinetic energy =[tex]\frac{1}{2} mv^{2}[/tex] =[tex]\frac{1}{2}\times 4 \times 5^{2}[/tex]=5 0 units
4.
Here m= 2 units and v= 10 units
Kinetic energy =[tex]\frac{1}{2} mv^{2}[/tex]=[tex]\frac{1}{2}\times 4 \times 10^{2}[/tex]units = 200 units
Department A occupies 10,000 square feet, Department B occupies 6,000 square feet, and Department C occupies 4,000 square feet. What percent of the total overhead expense should be allocated to Department B?
60 percent
40 percent
30 percent
10 percent
Answer:
The correct answer is C. 30 percent
Step-by-step explanation:
What percent of the total overhead expense should be allocated to Department B?
For answering this question, we should make the following calculations this way:
Company's footprint = Department A + Department B + Department C
Company's footprint = 10,000 + 6,000 + 4,000
Company's footprint = 20,000 square feet
Overhead expense allocated to Department B = Department B footprint/Company's footprint
Overhead expense allocated to Department B = 6,000/20,000
Overhead expense allocated to Department B = 0.3 = 30%
The correct answer is C. 30 percent
_[blank]_ show the distribution and frequency for a set of values. _[blank]_ is how the values are spread out or grouped, and _[blank]_ is how often a value occurs in a set of numbers.
I think it's histograms for the first blank; distribution for the second blank; frequency for the third and final blank.
Hope this helps please let me know if I'm wrong :)))
Histograms show the distribution and frequency for a set of values. Distribution is how the values are spread out or grouped, and frequency is how often a value occurs in a set of numbers.
A frequency distribution is like a detailed count of all the different values or groups of values in a data set. When data are collected, a histogram provides a visual representation of this distribution. The distribution of the data can be divided into various classes or bins, where the count or frequency of data falling into each bin is tallied. This tally helps to visualise patterns such as the center, spread, and overall shape of the data.
The histogram consists of contiguous rectangles, with the height of each bar corresponding to the frequency of data points within that class interval. The horizontal axis (x-axis) typically represents the values or categories of the dataset, while the vertical axis (y-axis) represents the frequency of occurrences. This graphical tool allows us to quickly ascertain which values are more prevalent and identify the spread or variability of the data, as well as the center, which is considered the middle or typical value of the dataset.
In a triangle the length of two sides are 1.9m and 0.7m. What is the length of the third side, if you know that it should be a whole number?
Answer:
their sum: 2.8m
their difference: 1.2m
the third side's length should be smaller than their sum, larger than their difference
it could be: 1.3-1.4-1.5-1.6-1.7-1.8-1.9-2-2.1-2.2-2.3-2.4-2.5-2.6-2.7 but since it has to be a whole number, 2m is the only eligible answer.
Using the Pythagorean theorem, we can calculate the third side of the triangle considering both positions for the side: as the hypotenuse and one of the two remaining sides. In both cases, the result is rounded to a whole number due to the constraints of the question.
Explanation:In this case, we need to calculate the third side of the triangle based on the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as: a² + b² = c². To find the possible lengths of the third side, we need to consider that it should be a whole number, and use both possible positions: once as a hypotenuse and once as the other side of the triangle.
If the third side is the longest (hypotenuse), then based on the Pythagorean theorem: (1.9m)² + (0.7m)² = c². The answer should be rounded to a whole number.
If the third side is not the longest one, then we could subtract the square of the shorter side from the square of the longer one: (1.9m)² - (0.7m)² = (c)². Again, the answer should be rounded to a whole number.
Learn more about Pythagorean theorem here:https://brainly.com/question/28361847
#SPJ2
A square is cut out of a circle whose diameter is approximately 14 feet. What is the approximate area (shaded region) of the remaining portion of the circle in square feet?
A.25 feet
B.40 feet
C.50 feet
D.80 feet
Answer:
C
Step-by-step explanation:
area if squre is πr^2
so...
[tex]\pi {r}^{2} = 3.14 \times 7 \times 7 = 153.86 {ft}^{2} [/tex]
r means radius and...radius is diameter/2
now we must subtract the area of the square
[tex] {a}^{2} = 10 \times 10 = 100 {ft}^{2} [/tex]
[tex]153.86 - 100 = 53.86 {ft}^{2} [/tex]
nearest answer is 50
Answer:
Step-by-step explanation:
r = 14/2 = 7 feet
Area of circle=πr²=22*7*7/7 = 22*7= 154 sq. feet
Area of square = side*side = 10*10 =100
Area of shaded region = Area of circle - Area of square
=154 - 100 = 54 sq. feet ≈ 50 sq. feet
A car is purchased for $24,000. After each year, the resale value decreases by 20%. What will the resale value be after 5 years?
Use the calculator provided and round your answer to the nearest
Answer: $7,864.32
Step-by-step explanation:
First you would do 100% -20% which would give you 80% (0.8)
1st year : $24,000 x 0.8 = 19,200
Then take your answer and times it by 0.8 again until you get to the 5th year
2nd year : $19,200 x 0.8 = $15,360
3rd year : $15,360 x 0.8 = $12,288
4th year : $12,288 x 0.8 = $9,830.40
5th year : $9,830.40 x 0.8 = $7,864.32
Therefore your final answer is $7,864.32
Final answer:
The resale value of the car after 5 years will be approximately $7,864.32.
Explanation:
To find the resale value of the car after 5 years, we need to calculate the depreciation rate each year and then apply it to the original purchase price. Since the resale value decreases by 20% each year, we can calculate the resale value after 5 years as follows:
After the first year, the resale value will be 80% of the original purchase price: $24,000 * 0.8 = $19,200.
After the second year, the resale value will be 80% of the previous year's resale value: $19,200 * 0.8 = $15,360.
After the third year, the resale value will be 80% of the previous year's resale value: $15,360 * 0.8 = $12,288.
After the fourth year, the resale value will be 80% of the previous year's resale value: $12,288 * 0.8 = $9,830.40.
After the fifth year, the resale value will be 80% of the previous year's resale value: $9,830.40 * 0.8 = $7,864.32.
Therefore, the resale value of the car after 5 years will be approximately $7,864.32.
Morton made 36 out of 48 free throws last season. What percent of his free throws did Morton make. Help!!! T-T
75 % free throws are made by Morton
Solution:
Given that Morton made 36 out of 48 free throws last season
To find: Percent of free throws made by Morton
From given statement,
total number of throws = 48
throws made by morton = 36
Thus the percent of free throws made by Morton is given as:
[tex]percent = \frac{\text{number of throws made}}{\text{total number of throws}} \times 100[/tex]
Substituting the values, we get
[tex]percent = \frac{36}{48} \times 100\\\\percent = 0.75 \times 100 = 75 %[/tex]
Thus 75 % of his free throws are made by Morton
1. a 3-ounce can of tomato sauce costs $1.68. in cents, what is the price per ounce ?
2. how many cds can edward buy for $14 each and spend the same amount he would to buy 60 cds for $7 each ?
Answer:
1) 5.6 cents
2) 30 cds
Step-by-step explanation:
For both problems we can use the Rule of Three:
1) If 3 ounces of tomato sauce cost [tex]\$1.68[/tex], how many will cost 1 ounce?:
3 oz ---[tex]\$1.68[/tex]
1 oz --- ?
Then:
[tex]?=\frac{(1 oz)(\$1.68)}{3 oz}[/tex]
[tex]?=\$ 0.056[/tex]
This is the price in dollars, now we have to calculate it in cents, taking into account that [tex]100 cent=\$1[/tex]:
[tex]$ 0.056 \frac{100 cent}{\$1}=5.6 cents[/tex] This is the price in cents of 1 ounce of tomato sauce
2) If Edward buys 60 cds for [tex]\$ 7[/tex] each, what is the cost of 60 cds?:
60 cds ---?
1 cd --- [tex]\$7[/tex]
[tex]?=\frac{(60 cds)(\$7)}{1 cd}[/tex]
[tex]?=\$ 420[/tex] This is what Edward spends in 60 cds for [tex]\$7[/tex] each
Now, we have to calculate how many cds Edward can buy for [tex]\$14[/tex] each and spend the same [tex]\$ 420[/tex]:
1 cd --- [tex]\$14[/tex]
? cds ---[tex]\$ 420[/tex]
[tex]?=frac{(\$ 420)(1 cd)}{\$14}[/tex]
Finally:
[tex]?=30 cds[/tex]
Let / f(x)= -5x + 3 and g(x) = 6x - 2. Find f*g and its domain.
Answer:
The correct answer is: Option 3.
Step-by-step explanation:
To begin the problem asks to find [tex]f[/tex]· [tex]g[/tex] which can be defined as [tex][f*g](x)[/tex]. Now we are given that:
[tex]f(x)=-5x+3\\g(x)=6x-2[/tex]
So now we need to 'multiply' our two algebraic expressions as follow:
[tex]fg(x)=(-5x+3)(6x-2)\\fg(x)=(-5x)(6x) +(-2)(-5x)+(3)(6x)+(3)(-2)\\fg(x)=-30x^2+10x+18x-6\\fg(x)=-30x^2+28x-6[/tex] Eqn.(1)
The domain of Eqn. (1) is all real numbers of [tex]x[/tex].
Which according to the given options , Option 3 is correct.
Answer: fog(x) = -30x + 13.
The domain is all the real numbers.
Given that f(x)= -5x + 3 and g(x) = 6x - 2.
fog(x)
[tex]=f(g(x))\\=f(6x-2)\\=-5(6x-2)+3\\=-30x+10+3\\=-30x+13[/tex]
The domain is all the real numbers.
Learn more: https://brainly.com/question/1214333
The sum of 7 and the product of a number x and 12
Answer:
-7/12
Step-by-step explanation:
An equation can be made out of this problem.
Sum means adding, so in this problem, you are adding 7 to the product of x and 12.
Product means multiplying, so you are multiplying x by twelve to get 12x.
Since you are adding all of this to 7, you get the equation 7 + 12x = 0.
Now, you just need to solve for x by subtracting the 7 over, giving you 12x = -7.
Now, to isolate x, divide both sides by 12. The twelves on the left cancel each other out, leaving you with -7/12.
Estimate, then find the difference and write in simplest form 4 1/2-3 4/5
Answer:
7/10
Step-by-step explanation:
4 1/2=9/2
3 4/5=19/5
9/2-19/5=45/10-38/10=7/10
Why was this amendment necessary?
A. Many states established districts where only members of some
ethnicities could vote.
B. Poll taxes and literacy tests made it too complicated for many
African Americans in the South to vote.
C. African Americans who were former slaves were not considered
American citizens.
D. Despite their citizenship, African Americans were legally prohibited
from voting in some states
Answer:
i think the answer is Option D...
The 15th Amendment was necessary to address the barriers African Americans faced in voting, including discriminatory voting districts, poll taxes, literacy tests, and legal prohibitions against voting.
Explanation:The necessary amendment referred to in the question is the 15th Amendment to the United States Constitution. This amendment was necessary because African Americans were facing significant barriers to voting, particularly in the Southern states. These barriers included the establishment of discriminatory voting districts, poll taxes, literacy tests, and legal prohibitions against African Americans voting in some states. The 15th Amendment aimed to address these issues by granting African American men the right to vote.
Learn more about Necessity of the 15th Amendment here:https://brainly.com/question/29280485
#SPJ2
Pls help me with this question no. 14 asap. will mark brainliest
============================================================================
Work Shown for part (i)
One base of triangle PQR is QR = 4
If the base is QR, then the height is PL = 5, which is perpendicular to QR.
area of triangle PQR = (1/2)*base*height
area of triangle PQR = (1/2)*QR*PL
area of triangle PQR = (1/2)*4*5
area of triangle PQR = 10
---------------------------------
Work Shown for part (ii)
Another base for triangle PQR is PR = 8
Imagine rotating triangle PQR so that PR is completely horizontal and flat.
Note: the diagram implies that MR = 8, but instead it's actually PR = 8
For the base PR, the perpendicular height is QM, which we'll label as x for now
area of triangle PQR = (1/2)*base*height
area of triangle PQR = (1/2)*PR*QM
area of triangle PQR = (1/2)*8*x
area of triangle PQR = 4*x
From part (i), we can set 4x equal to 10 since we know the triangle PQR has area 10 square cm.
4x = 10
4x/4 = 10/4
x = 10/4
x = (5*2)/(2*2)
x = 5/2
x = 2.5
Clara found the product of 3 – 6y2 and y2 + 2. Her work is shown below.
(3 – 6y2)(y2 + 2) = 3(y2) + (–6y2)(2)
= 3y2 – 12y2
= –9y2
Is the student’s work correct?
No, she did not multiply –6y2 by 2 correctly.
No, she did not add 3y2 and –12y2 correctly.
No, she did not use the distributive property correctly.
Yes, she multiplied the binomials correctly.
Answer:
Option C. is the correct option.
Step-by-step explanation:
Clara found the product of (3 - 6y²) and (y² + 2) and she did it as below
(3 - 6y²)(y² + 2) = 3(y²) + (-6y²)×2 = 3y² - 12y² = -9y²
She did the step wrong as highlighted above. She did not use the distributive property correctly.
Now we will do it in a correct way.
(3 - 6y²)(y²+2) = 3(y² + 2) - 6y²(y² + 2)
= 3y^{2}+6-6y^{4}-12y^{2}=-6y^{4}-9y^{2}+6
Therefore Option C. is the correct answer.
Hope it helps:)
Which solution(s) is a solution for the following inequality?
4x > 15
a.III
b.I and II
c.II and III
d.I, II, and III
Answer:
a.III
Step-by-step explanation:
We solve for x:
4x > 15
it gives
x > 3.75
Now we have to analyze our choices and see which solutions satisfy this inequality.
[tex]3\frac{1}{2} =3.5[/tex]
is not greater than 3.75; this isn't a solution.
[tex]3\frac{3}{4}=3.75[/tex]
is not greater than 3.75; this isn't a solution.
[tex]4\frac{1}{4}=4.25[/tex]
is greater than 3.75; this is a solution.
Thus only choice III is correct.
An adult and five children rent skates. It costs $4 per adult for skates and a total of $16. What would be the equation?
Final answer:
The equation representing the total cost for an adult and five children renting skates, with the adult's rental at $4 and the total at $16, is 4 + 5x = 16.
Explanation:
The question is asking for an equation that represents the total cost for an adult and five children renting skates where the adult's rental costs $4 and the total cost is $16. To write this equation, we let x be the cost for renting skates for a child. Since there are five children, the cost for the children's skates is 5x. Adding the adult's cost, we have the total cost expressed as 4 + 5x = 16.
Explanation: We know that the cost for one adult is $4, so that's a fixed amount. Since we don't know the individual cost for a child's skate rental, that's our variable x. We have five children, so we multiply x by 5. Adding up the adult's cost and the children's cost gives us the total cost, which is $16, and thus we arrive at our final answer, 4 + 5x = 16.
the students of a bayside middle school are going on a field trip . 15 students fit in a van and 3 students will be traveling in a car. write an algebraic expression for this problem and what is the meaning of the variable in your expression
Answer:
The algebraic expression for this problem is [tex]T=15x+3y[/tex].
Step-by-step explanation:
Given:
15 students fit in a van and 3 students will be traveling in a car.
So we can say that;
Number of students travelling by van = 15
Number of students travelling by car = 3
Now Let the number of vans be 'x'.
also Let the number of cars be 'y'.
Let the Total number of students bayside middle school be 'T'.
Solution:
now we can say that;
Total number of students going on field trip is equal to sum of Number of students travelling by van multiplied by the number of vans and Number of students travelling by car multiplied by the number of cars.
framing in equation form we get;
[tex]T=15x+3y[/tex]
Hence, The algebraic expression for this problem is [tex]T=15x+3y[/tex].
a piggy bank has $6.95 and contain only nickels and dimes. If there are a total of 91 coins, how many nickels are there
There are 43 nickels in the piggy bank.
Step-by-step explanation:
Given,
Amount in piggy bank = $6.95 = 6.95*100 = 695 cents
Total coins = 91
One nickel = 5 cents
One dime = 10 cents
Let,
x be the number of nickels
y be the number of dimes
According to given statement;
x+y=91 Eqn 1
5x+10y=695 Eqn 2
Multiplying Eqn 1 by 10
[tex]10(x+y=91)\\10x+10y=910\ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex](10x+10y)-(5x+10y)=910-695\\10x+10y-5x-10y=215\\5x=215[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{215}{5}\\x=43[/tex]
There are 43 nickels in the piggy bank.
Keywords: linear equation, elimination method
Learn more about linear equations at:
brainly.com/question/9533500brainly.com/question/9527632#LearnwithBrainly
Final answer:
To find the number of nickels in the piggy bank, you can set up a system of equations. By solving the system, it is determined that there are 43 nickels.
Explanation:
To find the number of nickels in the piggy bank, we need to set up a system of equations. Let's assume that the number of nickels is 'x' and the number of dimes is 'y'.
We know that there are a total of 91 coins, so we can write the equation: x + y = 91.
We also know that the value of the nickels is 5 cents and the value of the dimes is 10 cents. The total value of the coins is $6.95, so we can write the equation: 5x + 10y = 695.
Solving this system of equations will give us the number of nickels.
First, let's multiply the first equation by 5 to eliminate 'x'.
5x + 5y = 455
Next, subtract this new equation from the second equation.
(5x + 10y) - (5x + 5y) = 695 - 455
5y = 240
y = 48
Finally, substitute the value of 'y' back into the first equation to find 'x'.
x + 48 = 91
x = 43
Therefore, there are 43 nickels in the piggy bank.
Expand the following expression.
5.9(21 - 3.54x)
A.
123.9x - 20.886
B.
26.9 - 9.44x
C.
20.886 + 123.9x
D.
123.9 - 20.886x
Answer:
D. 123.9 - 20.886x
Step-by-step explanation:
Using the distributive property, we find the expansion to be ...
5.9(21) +5.9(-3.54x) = 123.9 -20.886x
_____
The distributive property tells you ...
a(b+c) = ab +ac
The factor outside parentheses multiplies each of the individual terms inside parentheses.
What is -3-2(5+1)-(1-1)
[tex]-3-2(5+1)-1-1\\-3-(2)(6)-(1-1)\\-3-12-(1-1)\\15-(1-1)\\15-0\\{Answer=-15 \checkmark[/tex]
theirs a picture at the toppp
Answer:
C
Step-by-step explanation:
Slope-intercept form is y=mx+b. Y is y, m is the slope, x is x, and b is the y-intercept. The first thing you do is figure out the slope. The equation is (y2-y1)/(x2-x1). Then take 2 points from the table and substitute them in. I'll use the bottom two points: (4-2)/(2-1). You should get 2 as your answer. Substitute this in for m. Take a point from the table and substitute y in for y, x in for x. I'll use the last point: 4=2(2)+b. If I simplify further, I get 4=4+b, which means b is 0, and we won't need to put it in the equation.
Figure out the answer using the process of elimination: we know that because b=0, the answer can't be A or B. The slope is positive 2, which means that the answer can't be D. So it has to be C.
Rectangular prism has base area 522 square millimeters and height 31 millimeters. Find volume in cubic millimeter
Answer:
The volume in cubic millimeter is 16182.
Step-by-step explanation:
Given:
Rectangular prism has base area 522 square millimeters and height 31 millimeters.
Now, to find the volume in cubic millimeter.
Base area = 522 square millimeters.
Height = 31 millimeters.
Now, to get the volume we put formula:
[tex]Volume=base\ area\times height[/tex]
[tex]Volume=522\times 31[/tex]
[tex]Volume=16182\ cubic\ millimeter.[/tex]
Therefore, the volume in cubic millimeter is 16182.
34 is what percent of 170?
Answer:
20%
Step-by-step explanation:
let the percent be p
rewriting the expression:
p% of 170 is 34
or mathematically,
p% x 170 = 34
(p / 100) x 170 = 34 (divide both sides by 170)
p/100 = 34/170 (multiply both sides by 100)
p = (34 / 170) x 100
p = 20
hence 34 is 20% of 170