Answer:
C). 10 cm
Step-by-step explanation:
A Trapezoid is characterized as a quadrilateral having two parallel(non-adjacent) sides. While an isometric transformation includes a geometric system having three equal axes lying at right angles to one another. In order to convert the trapezoid into a parallelogram, the length of JK must be 10cm(8 + 2) so that opposite edges are of equal length with an angle of 90°. Thus, option C is the correct answer.
Two people together can do a certain job in twenty minutes.If one of them can do the job alone in forty-five minutes, how long will the other person take to do the job alone?
36 minutes
Step-by-step explanation:
Going through the question in bits:
i. Two people together can do a certain job in 20 minutes.
This implies that the time taken to finish the job is 20 minutes.
This also means that in 1 minute, they will do [tex]\frac{1}{20}[/tex] of the job i.e the rate at which the job is done by the two of them is [tex]\frac{1}{20}[/tex]
ii. If one of them can do the job in 45 minutes.
This implies that the time taken by one of them to finish the job is 45 minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{45}[/tex] of the job. i.e the rate at which the job is done by one of them is [tex]\frac{1}{45}[/tex]
iii. let the other person do the job in x minutes.
This implies that the time take by the other person to finish the job is x minutes.
This also means that in 1 minute, he will do [tex]\frac{1}{x}[/tex] of the job. i.e the rate at which the job is done by the other person is [tex]\frac{1}{x}[/tex]
Now,
The rate by which the job will be done by the two of them combined is the sum of the individual rates.
i.e
[tex]\frac{1}{20}[/tex] = [tex]\frac{1}{45}[/tex] + [tex]\frac{1}{x}[/tex]
Multiply through by 90x and solve
(90x * [tex]\frac{1}{20}[/tex]) = (90x * [tex]\frac{1}{45}[/tex]) + (90x * [tex]\frac{1}{x}[/tex])
4.5x = 2x + 90
4.5x - 2x = 90
2.5x = 90
x = [tex]\frac{90}{2.5}[/tex]
x = 36
Therefore it will take the other person 36 minutes to finish the job.
Can someone explain to me how to do this?
please help
marking brainlist
Answer:
270,000,000,000
Step-by-step explanation:
Please help me with this
Answer:
216in
Step-by-step explanation:
6 + 8 + 10 = 24
24 * 9 = 216
(accounting)
What type of account is almost always included in all journal entries for banking activities?
A. Cash
B. expense
C. accounts payable
D. accounts receivable
Answer:
b
Step-by-step explanation:
expense is usually done everywhere.
Answer:
A
Step-by-step explanation:
Cash
A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How many people can go to the amusement park?
Answer:
Step 1:
Subtract $19 from total
366.50 - 19 = 347.5
Step 2:
Divide this total by the ticket price
347.50 / 34.75 = 10
Step 3:
You have your answer
10 people can go to the amusement park
Answer:
as many as 11 people
Step-by-step explanation:
n = # of people
5.50 + 34.75n ≤ 387.75
subtract 5.5 from each side to get:
34.75n ≤ 382.25
divide each side by 34.75
n ≤ 11
Two friends Ana and Juan are buying books by joining the History Book
Club.
Ana has to pay a yearly fee of $15 to join. She spends a total of $525 for 30
books. How much was the price per book on average?
Juan has to pay a yearly fee of $10 to join. He spends a total of $350 for 23
books. How much was the price per book on average?
Write a function for Ana and Juan each to model the scenario to figure out
the total cost per book. Who has the better deal? Ana or Juan? Why?
Answer:
Ana spent $17 per book on average.
Juan spent $14.78 per book on average.
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Step-by-step explanation:
Ana has to pay a yearly fee of $15 to join.
She spends a total of $525 for 30 books.
The amount spent on books = Total amount - yearly fee
= $525- $15= $510
Price per book on the average = $510/30= $ 17
Ana spent $17 per book on average.
Juan has to pay a yearly fee of $10 to join.
He spends a total of $350 for 23 books.
The amount spent on books = Total amount - yearly fee
= $350- $10= $340
Price per book on the average = $340/23= $ 14.78≅ $15
Juan spent $14.78 per book on average.
The function can be established if y gives the total cost and x gives the number of books
y = $15 + 17x--------- equation 1
y= $10 + 14.78 x------------- equation 2
Juan has a better deal because the yearly fee is less also the price per book is less.
If f(n) = 3n^2-7, then f(-2) equals___.
Answer:
5
Step-by-step explanation:
f(n)=3n^2-7
f(-2)=3(-2)^2-7
f(-2)=3(-2)(-2)-7
f(-2)=3(4)-7
f(-2)=12-7
f(-2)=5
What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate
B. Linear, because the graph of the points makes a line
C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four
D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16
Answer:
D.
Step-by-step explanation:
Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,
2.5 * 16 = 40
40 * 16 = 640
640 * 16 = 10,240
Meaning that the values have a common ratio of 16, and are increasing exponentially.
Which expression is not equal to 28? A. ( 9 + 25 ÷ 5 ) × 2 B ( 13 − 4 × 2 ) − 1 ] × 7
C. 42 ÷ 6 + 28 ÷ 4 D. 7 × [ 8 − ( 12 − 4 × 2 ) ]
Answer:
the answer is C
Step-by-step explanation:
In a survey about pet ownership,
38% have a pet now and have had a pet;
62% do not have a pet now;
84% have had a pet;
14% do not have a pet now and have never had a pet.
Find the probability that someone has never had a pet,
given that the person does not have a pet now.
(Please answer ASAP)
Answer:
22.6%
Step-by-step explanation:
1. 14% do not have a pet now and have never had a pet & 62% do not have a pet now.
2. 0.14/0.62
3. Divide = .2258
4. Multiply by 100 = 22.58
5. Round = 22.6%
I hope this helps! Have a wonderful day!
What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?
A) 24
b) 12
c)32
d) 40
e) 20
Answer:
e) 20
Step-by-step explanation:
Segment lengths:
|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6
|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4
because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20
which table represents a function? iready end of year test ! please help!! quick
Answer:
top left
Step-by-step explanation:
a function is if there is only one number that isnt the same as the other x
Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)
Answer:
[tex]B' = (-2,-3)[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-4)[/tex]
[tex]B = (4,-6)[/tex]
[tex]C = (2,-1)[/tex]
reflection across y
[tex]d = \frac{1}{2}[/tex]
Required
New coordinate of B
When reflected across the y-axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So:
[tex](4,-6) \to (-4,-6)[/tex]
Next is a dilation by 1/2
To do this, we multiply the new point by 1/2
So:
[tex]B' = (-4,-6) * \frac{1}{2}[/tex]
[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]
[tex]B' = (-2,-3)[/tex]
what percent of 4$ is 60 cents
no links
Answer:
15%
Step-by-step explanation:
You kind of have two ways to do this:
Way 1:
Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.
You can divide 100 by 6.66666667, and get 15%,
Way 2:
Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%
Hope that helps :)
The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?
Answer:
[tex]Pr = \frac{9}{49}[/tex]
Step-by-step explanation:
Given
[tex]d = 28[/tex] --- big circle
[tex]A_2 = 36 \pi[/tex] --- area of small circle
Required
Probability that a point selected lands on the small circle
Calculate the area of the big circle using;
[tex]A_1 = \pi r^2[/tex]
Where
[tex]r = d/2[/tex]
So, we have:
[tex]r = 28/2 = 14[/tex]
This gives:
[tex]A_1 = \pi * 14^2[/tex]
[tex]A_1 = \pi * 196[/tex]
[tex]A_1 = 196\pi[/tex]
The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle
This gives:
[tex]Pr = \frac{36\pi}{196\pi}[/tex]
[tex]Pr = \frac{36}{196}[/tex]
Simplify
[tex]Pr = \frac{9}{49}[/tex]
Write the ratio 1:8 : 4:2 in its simplest form
Answer:
1/8 and 2/1 or 1:8 and 2:1
Step-by-step explanation:
what is the best estimate of 10
Answer:
Step-by-step explanation:
It's 10 since it's a whole number.
3. Find the surface area of the square pyramid.
plzzz helppp i will give brainliest
Answer:
Hello! answer: 105
Step-by-step explanation:
When doing these for squares you have to do base × height and for triangles you do base × height ÷ 2 So Lets do the triangles sense there more complex so we can get them out of the way. The base for the triangles our 5 and the height is 8 so we will do 5 × 8 = 40 now we will just divide that by 2 so 40 ÷ 2 = 20 now sense we have four identical triangles we will just multiply 20 by 4 so 20 × 4 = 80 now for the 1 in the middle its nice and simple just 5 × 5 so 5 × 5 = 25 now we just add 80 + 25 and 80 + 25 = 105 So 105 is the area! Hope that helps!
What is the solution to the equation x + 17 = 74? (Input a whole number only.)
Answer:x=57
Step-by-step explanation:
isolate x by subtracting 17 from both sides, you should get x = 74-17, which is 57.
I need help correct answer will get brainliest.
Answer:
2.85125 is the answer.
Step-by-step explanation:
according to the calculator
Answer:
2.75124851367
Step-by-step explanation:
8/8.41=951248513674+1.8=2.75124851367 so its 2.75124851367
Jasmine is planning a ski trip in the mountains with her friends. She can rent skis at the resort for $30 per day or she can buy skis to take with her for $150. Jasmine will also have to budget for a lift pass that costs $15 per day. How many days does she need to plan to ski in order for the cost of renting versus buying skis to cost the same for the trip?
Answer:
5 days.
Step-by-step explanation:
Jasmine has two options:
Rent skis at the resort for $30 per day.
Then if she rents the skis for N days, the cost will be:
C(N) = N*$30
Buy skis for $150
Now we can ignore the lift pass because she will pay that in both cases.
Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.
Then we need to solve:
C(N) = $150
N*$30 = $150
N = $150/$30 = 5
So if you rent the skis for 5 days, you will pay the same as if you bought the skis.
Draw the graphs of the equations y=8/3x and y=-8/3x on the same coordinate plane. Name their point of intersection as p. State the coordinate of the point p.
Answer:
Here we want to graph the equations:
f(x) = y =(8/3)*x
and
g(x) = y = -(8/3)*x
To graph these you need to find some coordinate points of each one, and then connect them, such that the graph of these two equations can be seen below.
Where the blue one is f(x) and the green one is g(x)
We now want to look at the graph and find the point of intersection p.
By looking at the graph below, we can see that the intersection is at the origin, then p = (0,0)
Also remember that an intersection of two functions means that:
f(x) = g(x)
for that particular x value, then we can solve this for our functions and get:
(8/3)*x = -(8/3)*x
That equation is only true when x = 0
Then we have the intersection at x = 0, and the correspondent y value is given by f(0) or g(0) (will be the same value)
y = f(0) = (8/3)*0 = 0 = -(8/3)*0 = g(0)
Then we also found analytically that the intersection is in the point (0, 0)
Write the point-slope form of the equation of the line through the given points,
3) through: (3, ) and (0,4)
4) through: (0.-1) and (2,5)
Please no downloads!!
Answer:
The equation of a line in point-slope form is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣aay−y1=m(x−x1)aa∣∣−−−−−−−−−−−−−−−−−−−−−−
where m represents the slope and (x1,y1) a point on the line.
To calculate the slope use the gradient formula
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯∣∣∣aam=y2−y1x2−x1aa∣∣∣−−−−−−−−−−−−−−−−−
where (x1,y1) and (x2,y2) are 2 coordinate points.
here the 2 points are (-3 ,4) and (0 ,3)
let (x1,y1)=(−3,4) and (x2,y2)=(0,3)
⇒m=3−40+3
Step-by-step explanation:
this is guid to answer that hope it help to you mahar
Write the point-slope form of the equation of the line through the given point with the given slope.
through: (-5, -3), slope =4/9
Answer:
-3 - 1 = 4/9(-5 - 4)
Step-by-step Explanation:
Point-Slope form uses the formula y-y1=m(x-x1).
m is the slope, which they gave you, so you can substitute it into the formula:
y - y1 = 4/9(x - x1).
They also gave you a first point (-5, -3) So you can substitute the x and y of those into the formula as well.
-3 - y1 = 4/9(-5 - x1)
y1 and x1 are for another point. By drawing a graph and then using the rise and run of the slope (up 4 and over 9), you can get another point (as shown in the picture).
Substitute the x and y values of that point into the equation as well and you have your answer:
-3 - 1 = 4/9(-5 - 4)
Different size containers. Tanner used for storing dry goods. The largest container held 12 /3/4 cups of dry goods. 2/3 of the amount in container a, 2/3 of the amount in container b. What was the total amount in cups of dry goods. That tanner could store in all three containers
Answer:
29 3/4 cups
Step-by-step explanation:
total amount of tanner in the 3 containers = sum of tanners in each container
total cups in containers b and c = 2/3 x 12 3/4
2/3 x 51/4 = 17/2 cups or 8 1/2 cups
total capacity = 8 1/2 + 8 1/2 + 12 3/4 = 17 + 12 3/4 = 29 3/4
Josh wrote 483 out of an expected 500 words from his essay. How would this ratio be
expressed in decimal form?
Answer:
0.966
Step-by-step explanation:
483:500 = 0.966
i hope this is right x
The required ratio would be 0.966 which is expressed in decimal form.
What is the Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Josh wrote 483 out of an expected 500 words from his essay which is given in the question.
According to the given information, the ratio would be written as:
⇒ 483 : 500
⇒ 483 / 500
Apply the division operation, and we get
⇒ 0.966
Therefore, the required ratio would be 0.966 which is expressed in decimal form.
Learn more about the Ratios here:
brainly.com/question/1504221
#SPJ2
Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?
Answer:
Step-by-step explanation:
taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?
ILL BRAINLIEST YOU
PLEASE HELP ME
Laura is making a small sign in the shape of a triangle for her store. She wants the height of the triangle to be 4 inches. The area of the sign must be less than 14 square inches. (Laura doesn't want to buy more material.) Write an inequality that describes the possible base lengths (in inches) of the triangle.
Answer:
{1/2 (b)(h) = Area of a triangle}
1/2(b)(4) < 14
2b<14
B<7 in