Step-by-step explanation:
to find his total expenses, add all fraction spent
3/8 + 1/3 + 1/6
= 9+8+ 4/24
= 21/24. = 7/8
total fraction =1
subtract the fraction spent form the total fraction to know the fraction left for savings
1-7/8= 1/8
therefore if. 1 = 2,400
then 1/8=?
if less more divides
1/8 ÷ 1 ×2,400
1/8 × 1/1×2,400
1/8 × 2,400
=300.
therefore the man saved 300 rupees
Please thank you! I will give brainleist to the first correct answer if it lets me
Answer:
x=10 y=12
Step-by-step explanation:
just multiply 15 and 18 by 1/3 because both triangle are similar.
Answer:
x = 10; y = 12
Step-by-step explanation:
find the scale factor ratio using corresponding sides: 9 / 6 = 3/2 so the ratio is 3:2
from large triangle to small triangle you will get:
1. 15 / x
2. 18 / y
to implement the ratio, set the side length ratio equal to the scale factor:
1. [tex]\frac{15}{x}[/tex] = [tex]\frac{3}{2}[/tex]
2. [tex]\frac{18}{y}[/tex] = [tex]\frac{3}{2}[/tex]
cross multiply:
1. 30 = 3x
2. 36 = 3y
divide:
1. x = 10
2. y = 12
Sequences as Functions: Practice
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Question 8 of 8
Consider the geometric sequence below.
2, 12, 72, 432, ...
Select the explicit function which defines the sequence.
f(n) = 6.3(m – 1)
0 0
f(n) = 6.2(1 - 1)
f(1) = 3.2(0 - 1)
O f(x) = 2.6(n - 1)
Submit
Reset
16. Jessica was given the area and the length of the base of a triangle. A = 17.5 units, b = 5 units. She solved the formula for area for h to find the height of the triangle. Determine if Jessica solved the equation correctly and found the correct answer. If not, describe what mistake she made and solve the formula for h correctly and justify your steps.
A = 1/2bh
1/2A • b = h
1/2 (17.5)(5) = h
43.75 = h
The height of the triangle is 43.75 units.
Answer:
h = 7 units
Step-by-step explanation:
Jessica made an error with the [tex]\frac{1}{2}[/tex] in that she multiplied A by it instead of dividing.
Given
A = [tex]\frac{1}{2}[/tex] bh
with A = 17.5 and b = 5, then
17.5 = [tex]\frac{1}{2}[/tex] × h × 5 ( multiply both sides by 2 to clear the fraction )
35 = 5h ( divide both sides by 5 )
h = 7
it is wrong .
Jessica's mistake:
A = 1/2bh
1/2A • b = h >she should multiply the area with 2 not 1/2 and divide the area by b rather than multiply by b
1/2 (17.5)(5) = h
43.75 = h
correct answer:
A = 1/2bh
2A/b=h
h=2(17.5)/5
h=7
Please help me with this question
Answer:
a. 30 meters per second
b. -10 meters per second
Step-by-step explanation:
a. Average rate of change for the height from 0 to 6.6 secs can be calculated using the formula, [tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Thus,
Where,
[tex] a = 0, H(0) = 0 [/tex]
[tex] b = 6.6, H(6.6) = 198 [/tex]
Plug in the values into the formula:
[tex] m = \frac{198 - 0}{6.6 - 0} [/tex]
[tex] m = \frac{198}{6.6} [/tex]
[tex] m = 30 [/tex]
b. Average rate of change for the height from 8.8 to 13.2 secs = tex] m = \frac{H(b) - H(a)}{b - a} [/tex]
Where,
[tex] a = 8.8, H(8.8) = 44 [/tex]
[tex] b = 13.2, H(13.2) = 0 [/tex]
Plug in the values:
[tex] m = \frac{0 - 44}{13.2 - 8.8} [/tex]
[tex] m = \frac{-44}{4.4} [/tex]
[tex] m = -10 [/tex]
A cylinder has a volume of 1200 meters cubed. What is the volume of a cone with the same radius and height? A. 400 m3 B. 900 m3 C. 1600 m3 D. 3600 m3
Hey there!
The volume of a cone is always 1/3 of that of a cylinder with the same except dimensions. You multiply the base by the height and then divide by three!
This means that if the cylinder has a volume of 1200 meters cubed, you simply divide by three, giving you 400 meters cubed !
The answer is A. 400 m³.
Have a wonderful day! :D
Answer:900
Step-by-step explanation:A cylinder has more volume considering because of the space but a cone simply has less
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph?
Answer:
A: -3
Step-by-step explanation:
I got it right on my quiz!
If equation of the graphed line is 2x – y = –6 then the x-intercept of the graph is -3.
To find the x-intercept of the graph, we need to determine the x-coordinate where the line intersects the x-axis.
At the x-intercept, the y-coordinate is zero.
Given the equation of the line as 2x - y = -6.
we can substitute y = 0 since it is the y-coordinate at the x-intercept.
2x - 0 = -6
2x = -6
Divide both sides by 2:
x = -6/2
x = -3
Therefore, the x-intercept of the graph is -3.
To learn more on slope intercept form click:
https://brainly.com/question/9682526
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Jack challenged Jill to a race around a curve of a track. Jack took lane 8 with Jill at lane 1. If the radius of lane 1 is half of lane 8, what is the distance in metres Jack has to run if Jill ran a distance of 50m?
Answer:jac ganko
Step-by-step explanation:
Which expression is equivalent to 17s-10+3(25+1)?
23s-9
23s-7
115-7
115-9
Answer:
17s + 68.
Step-by-step explanation:
17s - 10 + 3(25 + 1)
= 17s - 10 + 3 * 26
= 17s - 10 + 78
= 17s + 68.
Hope this helps!
Answer:
its b 23s - 7
Step-by-step explanation:
took the test
Which expression can be used to find the surface area of the following square pyramid? I DONT KNOW HOW TO PUT A PHOTO ON PC!!! but it has 4 as the base and 3 as the height PLEASE HELP
Answer:
40 or 16+6+6+6+6
Step-by-step explanation:
To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.
4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.
4*4 = 16
For every triangle we have, the base is 4 and the height is 3. The area of a triangle can be found using the formula A=(bh)/2. We plug in the values:
A = (4*3)/2
A = (12)/2
A = 6
Since we have 4 triangles, the surface area is:
16+6+6+6+6 = 40
Answer:
16+6+6+6+6
Step-by-step explanation:
KHan
what is the product of (-a+3)(a+4)?
[tex](-a+3)(a+4)=-a^2-a+12[/tex].
Hope this helps.
Answer:
-a²-a+12
Step-by-step explanation:
-a²+3a-4a+12
-a²-a+12
13.- La factorización correcta d
expresión 3x2- 24x + 21 es:
A) (3x-3)(x+7)
B) (3x+21)(x-1)
C) (3x+1)(x+21)
D) (3x-3)(x-7)
reción y
Answer:
Option (D)
Step-by-step explanation:
The given expression is,
3x² - 24x + 21
We will factorize the given expression by the following steps,
3x² - 24x + 21
= 3(x² - 8x + 7)
= 3(x² - 7x - x + 7)
= 3[x(x - 7) - 1(x - 7)]
= 3(x - 1)(x - 7)
= (3x - 3)(x - 7)
Therefore, factored form of the given expression is (3x - 3)(x - 7).
Option (D) will be the correct option.
Using appropriate properties of rational numbers, find the sum 34+421+78+57
easy.This answer is 590
what is the domain of the function represented by the graph.?
Answer:
all real numbers
Step-by-step explanation:
There is nothing on the graph to indicate the function is undefined for any values of x. The domain is all real numbers.
Answer:
Domain is all real numbers.
Step-by-step explanation:
The domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x.
What is the simplified form of the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
n = −2
n = 4
n = fraction 1 over 2
n = fraction 2 over 3
Answer:
n=2
Step-by-step explanation:
⁴/5n-¹/5=²/5n
first we remove the denominators by multiplying all the numbers with their lcm
Lcm of 5n and 5 is 5n thus:
(5n×⁴/5n)-(¹/5×5n)=²/5n×5n
4-n=2
4-2=n
n=2
confirmationinsert 2 insted of n
⁴/5(2)-¹/5=²/5(2)
⁴/10-¹/5=²/10. simplify
²/5-¹/5=¹/5
¹/5=¹/5
so the correct value of n is 2
Find the ratio in which the line joining the points (2, 4, 16) and (3, 5, -4) is divided by the plane 2x – 3y+ z+ 6 = 0. Also find the co-ordinates of the point of division
Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.
[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]
point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
among the following, a perfect number a) 6 b)28 c) 625 d) 100
this question comes under more than one correct answer
Answer:
28 and 6
Step-by-step explanation:
List the factors (excluding itself):
6: 1, 2, 3,
28: 1, 2, 4, 7, 14
Add them up!
1+2+3=6
1+2+4+7+14=28
if they add up to the original number then the number is perfect.
========================================
Explanation:
By definition, a perfect number is one where the factors smaller than itself add to the number in question.
The factors of 6, smaller than 6, are {1,2,3}. We can see that 1+2+3 = 6. Therefore, 6 is a perfect number.
Similarly, 1+2+4+7+14 = 28 showing that 28 is also a perfect number.
------
The factors of 625, that are smaller than 625, are 1,5,25,125. They add to 1+5+25+125 = 156. This isn't equal to 625, so 625 isn't a perfect number.
A similar issue happens with 100 as well. The smaller factors are 1,2,4,5,10,20,25,50, meaning we get a sum of 1+2+4+5+10+20+25+50 = 117, which is too large.
------
The first four perfect numbers are: {6, 28, 496, 8128}
True or False: The proportion of the population that has certain characteristics is the same as the probability that a randomly selected individual of the population has these same characteristics.
Answer:
True
Step-by-step explanation:
which of the following figures has a length, width, and height? A,point B,rectangle C, triangular prism D, ray
Answer:
C) Triangular Prism
Point P has coordinates P(-3,5).
What are the coordinates of the image P" after I translate point P: 2
units to the right 3 units up and then I reflect its image across the x-
axis?
P starts at (-3,5)
Move to the right 2 units and you'll get to (-1,5). We add 2 to the x coordinate here.
Then shift the point up three units to get to (-1,8). We add 3 to the y coordinate.
Finally, reflect over the x axis to get the answer (-1, -8)
Note how the y coordinate flipped in sign but the x coordinate stays the same
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
We can use the distance formula
d = sqrt ( ( y2-y1)^2 + ( x2-x1) ^2)
d = sqrt ( ( 4- -3)^2 + ( -4 -2) ^2)
= sqrt ( ( 7^2 + ( -6)^2)
= sqrt( 49+ 36)
= sqrt(85)
9.219544457
Rounding to the nearest whole number
= 9
WILL GIVE BRAINLEIST!!!!!
Find the surface area of the right triangular prism shown below.
Answer:
144 units²
Step-by-step explanation:
Surface area of a traingular prism is given as:
Area = 2(B.A) + P*L
Where,
B.A = base area of the triangular prism = ½*b*h
b = base of the triangular base = 4 units
h = height of the triangular base = 3 units
Base Area (B.A) = ½*4*3 = 2*3 = 6 units²
P = Perimeter of triangular face = sum of all sides the triangle = 3 + 4 + 5 = 12 units
L = length or height of prism = 11 units
Plug in all values into the formula for surface area of triangular prism = 2(B.A) + P*L
[tex] Area = 2(6) + 12*11 [/tex]
[tex] = 12 + 132 [/tex]
[tex] Surface Area = 144 [/tex]
Surface area of the triangular prism = 144 units²
What steps do you use to solve a system of two equations using elimination? For example:
7x +2y = -32
-3x+2y = -70
Answer:
Step-by-step explanation:
eliminate either vraible, here it is easy to eleimate y, by just subtacting, then solve for x. When you get the value of x, plug in one of the equation and find y. ther you go
Answer:
x= 3.8
y= -29.3
Step-by-step explanation:
Find the value of x:
Step-by-step explanation:
angle (JIF) = 2x°
so angle (FIG) = (180 - 2x)°
Also , IK || EH
So , angle KIG = angle IGF = x°
angle (EFI) = 3x°
angle (IFG) = (180 - 3x)°
In triangle IFG ,
angle IGF + angle IFG + angle FIG = 180°
=> x + 180 - 3x + 180 - 2x = 180
=> 360 - 4x = 180
=> 4x = 360 - 180 = 180
=> x = 180 / 4 = 45°
Small roads with lower speed limits are known as:
O A. interstate highways.
O B. secondary roads.
C. streets
O D. county roads.
Answer:
B. secondary roads
Step-by-step explanation:
While all of streets, county roads, and secondary roads are generally designed to carry less traffic and/or have lower speed limits than interstate highways, the generic name for such roads is ...
secondary roads.
how do you find y=-4x+3 on a table
Help me with this please I have no idea what to do. It says solve for a if the line through the two given points has the given slope a, 3) and (-3, - 1), m = -2
Answer:
a=-5
Step-by-step explanation:
When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.
Answer:
a = - 5
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 2
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)
m = [tex]\frac{3+1}{a+3}[/tex] = [tex]\frac{4}{a+3}[/tex] = - 2 ( multiply both sides by a + 3 )
- 2(a + 3) = 4 ( divide both sides by - 2 )
a + 3 = - 2 ( subtract 3 from both sides )
a = - 5
Lisa flies from San Francisco to New York (2500 mi) in 5 hours and then flies from New York to Rome (3487.5 mi) at 465 mph. What is the average speed for her entire trip?
Answer:
443.1305
Step-by-step explanation:
1 mile=0.869 nautical miles
1 mph=0.869 knots
Average speed=Distance/time
Average speed=2172.5/5
=434.5
404.09=3487.5/hours
=8.6305
434.5+8.6305
=443.1305
Please answer this in two minutes
Answer:
Not a triangle
Step-by-step explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side.
HELP PLEASE!!
Below is the graph of f(x)=2ln(x). How would you describe the graph of g(x)=4ln(x)?
Reasoning:
g(x) = 4*ln(x)
g(x) = 2*2ln(x)
g(x) = 2*f(x)
Whatever the output f(x) is, it is doubled to get g(x). Recall that y = f(x), so we're really doubling the y values to visually stretch it vertically by a factor of 2. In short, g(x) is twice as tall compared to f(x).
Answer:
C. g(x) stretches f(x) vertically by a factor of 2.
Step-by-step explanation:
a p e x
Jaden learns to perform 2 vocal pieces during each week of lessons . How many weeks of lessons will Jaden need before he will be able to sing a total of 24 pieces?
Answer:
12 weeks
Step-by-step explanation:
To solve this, all you need to do is divided 24 pieces by the two he learns per week. You'll then find it will take him 12 weeks