Answer:
The coordinates of P are (1,3.5)
Step-by-step explanation:
Here, we simply want to find the coordinates of point P that divides line AB in the ratio 1 to 3
Mathematically, that would be;
(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)
where in this case m = 1, n = 3
(x1,y1) = (-1,2)
(x2,y2) = (7,8)
Thus, we have ;
(x,y) = (3(-1) + 1(7)/)1+3) , (3)2) + 1(8)/(1 + 3)
(x,y) = (-3+7)/4 , (6 + 8)/4
(x,y) = 4/4, 14/4
(x,y) = (1,3.5)
what can u hold in ur right hand but not ur left????
Answer:
a fork
Step-by-step explanation:
Answer:
your right elbow
Step-by-step explanation:
What degree does the polynomial 9x6y5-7x4y3+3xy4
Which agency offers the better deal
Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
he swims. This week, he spent more than 6 hours training for the race. Which graph represents his possible training
times this week?
Answer:
The possible graph is "A". A further explanation is given below.
Step-by-step explanation:
The given values are:
Dominick spends on running
= 0.70 hours
He spends on swimming
= 1.5 hours
This week,
Dominick spends more than six hours.
If,
Number of runs be "x".
Number of swimming be "y".
then,
⇒ [tex]0.75x+1.5y>6[/tex]
⇒ [tex]75x+150y>600[/tex]
⇒ [tex]x+2y>8[/tex]
Therefore, [tex]x+2y=8[/tex]
x = 0
y = 4
So the above is the correct answer.
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Complete question is;
In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².
This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?
Answer:
A2 = 1 m²
Step-by-step explanation:
Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;
F1/A1 = F2/A2
We are given;
Force of small piston: F1 = 100 N
Area of small piston; A1 = 0.0020 m²
Force of small piston: F2 = 50000 N
Thus;
Making A2 the subject, we have;
A2 = (F2/F1)A1
A2 = (50000/100) × 0.0020
A2 = 1 m²
A bookshop had 650 copies of a book for sale. The books were marked at 75 per copy in order to make a profit of 30%. A bookseller bought 300 copies at 5% discount. If the remaining copies sold at 75 each, calculate the percentage profit of the bookshop will make on the whole
Answer:
The percentage profit of the bookshop will make on the whole is 27%.
Step-by-step explanation:
The following are given in the question:
Copies of books for sale = 650
Selling price per copy = 75
Copies sold at 5% discount = 300
Discount rate = 5%, or 0.05
Percentage profit per copy = 30%, or 0.30
To calculate cost per copy, the following formula is used:
Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)
Substituting the values into equation (1) and solve for Cost per copy, we have:
30% = (75 - Cost per copy) / Cost per copy
0.30 * Cost per copy = 75 - Cost per copy
(0.30 * Cost per copy) + Cost per copy = 75
1.30 * Cost per copy = 75
Cost per copy = 75 / 1.30
Cost per copy = 57.6923076923077
Therefore, we have:
Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500
Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25
Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375
Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250
Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625
Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125
To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:
Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)
Substituting the relevant values form above into equation (2), we have:
Percentage profit on the whole = (10,125 / 37,500) * 100
Percentage profit on the whole = 0.27 * 100
Percentage profit on the whole = 27%
Therefore, the percentage profit of the bookshop will make on the whole is 27%.
PLZ HELP!!! I NEED THIS ASAP!!
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees. The measure of angle ABD is __ degrees
A-163
B-142
C-76
D-159
E-141
Answer:
D-159
Step-by-step explanation:
The required measure of angle ABD is 142°. Option B is correct.
Given that,
Triangles ACD and BCD are isosceles. Angle BAC has a measure of 17 degrees and angle BDC has a measure of 52 degrees.
The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not greater than 180°
Here,
According to the question,
ΔBDC,
∠BDC + ∠BCD + ∠DBC = 180
52 + 52 + ∠DBC = 180
∠DBC = 180 - 104
∠DBC = 76°
Now,
∠ABD = 360 - ∠DBC / 2
∠ABD = [360 - 76] / 2
∠ABD = 284/2
∠ABD = 142°
Thus, the required measure of angle ABD is 142°. Option B is correct.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ1
What value of n makes the equation 4(0.5n-3) =n-0.25(12-8n) true?
Answer:
n = -9Step-by-step explanation:
Given
4(0.5n-3) =n-0.25(12-8n)Solving for n
4(0.5n) - 4(3) = n - 0.25(12) + 0.25(8n)2n - 12 = n - 3 + 2n-12 = n - 3n = 3 - 12n = -9plz help cant figure it out
What is the reason for proving the following triangles congruent?
A. SSS
B. SAS
C. ASA
D. AAS
E. Not congruent
Answer:
i think its c) asa but im not sure
Step-by-step explanation:
someone plz help me i'm so confused
(click on picture)
Answer:
the equation to finding slope is this:
y2-y1 / x2-x1
Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.
5-0 / -2-2
5/-4
-5/4 is the slope
Step-by-step explanation:
Answer:
[tex]m=\frac{-5}{4} \\[/tex] which is the slope.
Step-by-step explanation:
Since we have two points on the line, we can easily calculate the slope.
Point 1 = (-2, 5)
Point 2 = (2, 0)
[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]
Please help easy questions (:
Answer:
1. x=66
2. x=-3
Step-by-step explanation:
1. x\6-2=9
add 2 to both sides
x\6=11
multiply both sides by 6
x=66
2. -7(3x-4)=91
distribute -7 into parenthesis
-21x+28=91
subtract 28 from both sides
-21x=63
divide both sides by -21
x=-3
Answer:
1: 66 2: -3
Step-by-step explanation:
9+2=11
11=x/6
x=66
-21x+28=91
91-28 = -21x
63=-21x
x = -3
slope = 2/5 and passes through (-3, 1)
Answer:
y = 2/5x + 1/5
Step-by-step explanation:
y - y1 = m(x - x1)
y - 1 = 2/5(x - (-3))
y - 1 = 2/5(x + 3)
y - 1 = 2/5x + 6/5
y = 2/5x + 6/5 - 5/5 (since 1 equals to 1/1, 2/2, 3/3, etc.)
y = 2/5x + 1/5
Question 2015
4
Rewrite
1
3
as a unit rate.
O A. 2:1
O B. 12:1
O C. 12:6
D. 2:9
What is the answer?
Answer:
i think it's c
Step-by-step explanation:
12:6 can be done as 4:12 also saying 1:3
Brainliest!! What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?
Answer:
the answer is b
Step-by-step explanation:
Circle Q has a circumference of approximately 50 centimeters. Circle Q with diameter d is shown. What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter. 4.0 centimeters 8.0 centimeters 15.9 centimeters 31.8 centimeters
Answer:
C: 15.9cm
Step-by-step explanation:
d= circumference/π
= 50/3.14
=15.9 cm
Answer:
c
Step-by-step explanation:
on edge 2020
Please help me with this question! :)
Answer:
adding 5 tiles each time
If "a" is a solution to the equation 5 + 6a
= 7a-3, then what is the value of 2a?
Answer:
The value of 2a will be: 16
Step-by-step explanation:
Given the equation
[tex]5 + 6a = 7a-3[/tex]
subtract 5 from both sides
[tex]5+6a-5=7a-3-5[/tex]
[tex]6a=7a-8[/tex]
[tex]-a=-8[/tex]
Divide both sides by -1
[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]
[tex]a=8[/tex]
As we know that [tex]a=8[/tex] is the solution to the equation.
Hence, the value of 2a will be:
[tex]2a = 2(8)[/tex] ∵ [tex]a=8[/tex]
[tex]= 16[/tex]
Therefore, the value of 2a will be: 16
Given triangle DOG is congruent to triangle CAT, which reason could you use to prove that angle G is congruent to angle T?
Answer:
The correct option is;
d) CPCTC
Step-by-step explanation:
The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven
Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;
Vertex D corresponds to vertex C
Vertex O corresponds to vertex A
Vertex G corresponds to vertex T
Therefore, given that ΔDOG ≅ ΔCAT, we have;
∠D ≅ ∠C by CPCTC
∠O ≅ ∠A by CPCTC
∠G ≅ ∠T by CPCTC.
Composition and inverse
Consider the functions
What is the equation of the line through the origin and (7, 2)?
Answer:
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Step-by-step explanation:
The general form of equation of line is given by:
[tex]y = mx+b[/tex]
When a line passes through origin it has no y-intercept so the equation will become
[tex]y = mx[/tex]
Slope is given by the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here,
(x1,y1) = (0,0)
(x2,y2) = (7,2)
Putting the values in the formula
[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]
Putting the value of slope in equation of line
[tex]y = \frac{7}{2}x[/tex]
Hence,
Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]
Answer:
y = 2/7x
Step-by-step explanation:
ap.ex
Please help! Thanks!!
Answer:
a) Equation is: 3x+4=22
b) Solving the equation we get the number x = 6
Step-by-step explanation:
a) Equation
Let the number be x.
Translating the statement into mathematical form:
Multiply the number with 3 i.e 3x
Add four i.e 3x+4
I get twenty two means: 3x+4=22
So, Equation is: 3x+4=22
b) Solve the equation:
3x+4=22
subtracting 4 on both sides
[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]
So, the number x = 6
Andy cut rope for an activity at outdoor camp. He had 504 centimeters of rope to cut into equal-length pieces. How many of the ways given below would use the entire amount of rope? Circle all that apply. A. 12 pieces of 42.3 centimeter long rope B. 15 pieces of 33.6 centimeter long rope C. 16 pieces of 31.5 centimeter long rope D. 20 pieces of 25 centimeter long rope E. 35 pieces of 14.4 centimeter long rope
Answer: B, C, E
Step-by-step explanation:
For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.
A. 12 pieces of 42.3 centimeter long rope.
= 12 × 42.3
= 507.6
This is wrong
B. 15 pieces of 33.6 centimeter long rope
= 15 × 33.6
= 504cm
This is correct
C. 16 pieces of 31.5 centimeter long rope
= 16 × 31.5
= 504cm
This is correct
D. 20 pieces of 25 centimeter long rope
= 20 × 25
= 500cm
This is incorrect
E. 35 pieces of 14.4 centimeter long rope
= 35 × 14.4
= 504cm
This is correct
Therefore, the correct option are B, C and E.
Imelda rode her bicycle 39 kilometers. If 1 meter = 1.094 yards, find the distance Imelda rode her bicycle to the nearest mile. (Hint: 1 mi = 1760 yd)
Answer: 24.24 miles
Step-by-step explanation:
We should note that 1000 metres = 1 kilometer.
Imelda rode her bicycle 39 kilometers which will be converted to meters a:
= 39 × 1000
= 39000 meters
Since 1 meter = 1.094 yards
39000 meters = 39000 × 1.094 = 42666 yards
To find find the distance Imelda rode her bicycle to the nearest mile goes thus:
1 mi = 1760 yd
42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles
Answer:
24.24
Step-by-step explanatio i looked at the answer above thank if you
like that
Expand and simplify (x + 3)(x-4)
Answer:
2x -1
Step-by-step explanation:
x*x =2x 3-4 =-1
2x+-4
Rearrange the equation y = 4x – 5 to find x in terms of y.
We have:
y = 4x - 5
Lets add 5 in each member:
y + 5 = 4x - 5 + 5
y + 5 = 4x
Divide the entire equation by 4:
[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]
A manufacturing company produces x units this week and wants to increase its weekly output by 135 units by next week. The company hopes to make 1450 units next week. Which equation can be used to find x?
Answer:
x + 135 = 1450
Step-by-step explanation:
It says that they are trying to increase the output by 135 so you have the variable to show how much they have to make to reach there goal of 1450 next week
I hope this helped you!
PLEASE HELP FAST. WILL GIVE BRAINLESS!!!! Which values of a, b, and c represent the answer in simplest form?
Answer:
a = 1, b = 3, c = 4Step-by-step explanation:
7/9 ÷ 4/9 = a b/c7/9 × 9/ 4 = a b/c7/4 = a b/c1 3/4 = a b/ca = 1, b = 3, c = 4Option 2 is correct
What is the sales tax on a bicycle that cost $175 with an 8% tax?
$189
Оа
О Б
$161
$14
Od
$140
Answer:
The answer is 161
Step-by-step explanation:
In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175
(-1,0)
(-1,3)
Find the rate
Answer:
The answer is 3/0, which is undefined/∞
Step-by-step explanation:
3-0=3
-1+1=0
3/0= undefined or ∞