Answer:
Age of Raju = 12
Age of Ravi = 16
Step-by-step explanation:
Let the Ages of Raju and Ravi be 3x and 4x years
According to question, [tex]\frac{3x+4}{4x+4}[/tex] = [tex]\frac{4}{5}[/tex]
⇒ 5(3x+4)=4(4x+4)
⇒ 15x+20 = 16x+16
⇒ 15x−16x=16 - 20
⇒ −x = −4
⇒ x = 4
Age of Raju = 3 × 4 = 12
Age of Ravi = 4 × 4 = 16
HOPE IT HELPS!!
Answer:
raju=16 years
Ravi=20 years
Step-by-step explanation:
raju =4×4=16
Ravi=5×4=20
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games.
x = number of used games
y = number of new games
Which linear equation, written in standard form, expresses the scenario?
Answer:[tex]12x+25y=300[/tex]
Step-by-step explanation:
Answer:
12x + 25y = 300
Step-by-step explanation:
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
Is the function g(x)= –5x+4 linear or nonlinear
The probability distribution for a
random variable x is given in the table.
-5
-3
-2
0
2
3
Probability
.17
.113
.133
.16
.11
.10
Find the probability that -2
Note: The values in the table are not correct because the sum of the probability of all events is not equal to one. The should be 0.13 and 0.33 instead of 0.113 and 0.133 respectively.
Given:
The probability distribution for a random variable x is given in the table.
x : -5 -3 -2 0 2 3
P(x) : 0.17 0.13 0.33 0.16 0.11 0.10
To find:
The probability of -2.
Solution:
From the given probability distribution for a random variable x, it is clear that the value of the probability is 0.33 corresponding to -2.
[tex]P(-2)=0.33[/tex]
Therefore, the probability of -2 is 0.33.
Mount Everest, at 29,028 feet, is the tallest mountain on the Earth. What is its height in kilometers
Answer:
8.8477344 km
Step-by-step explanation:
[tex] \because \: 1 \: ft = 0.000305 \: kilometre \\ \\ \therefore \: 29028 \: ft = 29028 \times 0.000305 \: km \\ \\ = 8.8477344 \: km[/tex]
The measure of an angle is eight times the measure of its supplementary angle. What is the measure of each angle?
Answer:
160°
Step-by-step explanation:
Let one angle be x
Let second angle be 8x
Sum of supplementary angles = 180°
x+ 8x = 180°
9x = 180
x = 180/9 = 20
First angle= x= 20°
Second angle = 8x = 8*20 = 160°
In ΔCDE, the measure of ∠E=90°, ED = 28, CE = 45, and DC = 53. What ratio represents the tangent of ∠C?
Answer:
3/5
Step-by-step explanation:
prependicular / hypotenuse
sin C=ED/CD
=3/5
For the geometric series 2 + 6 + 18 + 54 + ... , find S8
Answer:
[tex]\displaystyle S_{8}=6560[/tex]
Step-by-step explanation:
We have the geometric sequence:
2, 6, 18, 54 ...
And we want to find S8, or the sum of the first eight terms.
The sum of a geometric series is given by:
[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]
Where n is the number of terms, a is the first term, and r is the common ratio.
From our sequence, we can see that the first term a is 2.
The common ratio is 3 as each subsequent term is thrice the previous term.
And the number of terms n is 8.
Substitute:
[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]
And evaluate. Hence:
[tex]\displaystyle S_8=6560[/tex]
The sum of the first eight terms is 6560.
Answer:
S₈ = 6560
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]
= [tex]\frac{2(6561-1)}{2}[/tex]
= 6561 - 1
= 6560
5. If 40 of 160 moviegoers who watched a certain movie said that they would like to see the movie again, what is the probability that any moviegoer who saw the said movie would like to see it again? A. 0.25
B. 0.50
C. 0.75
D. 0.85
Answer: A. 0.25
Step-by-step explanation:
You need to divide 40 by 160 to calculate the percentage.
The Brady & Matthew Camera Company has just come out with their newest professional quality digital camera, the ToughPix1. The company is selling this camera only through its new mobile app at a profit of $221 per camera. This purchase comes with a guarantee that, barring gross negligence, if the camera breaks in the first two years after purchase, Brady & Matthew will replace it free of charge. Replacing a camera in this way costs the company $4900. Suppose for each ToughPix1 there is a 3% chance that it will need to be replaced exactly once, a 2% chance that it will need to be replaced exactly twice, and a 95% chance that it will not need to be replaced.
Answer:
Brad & Matthew can expect to lose money from selling these cameras of -$122
Step-by-step explanation:
Calculation to determine if it should expect to make or lose money from selling them and How much?
First step is to calculate the expected costs
Expected costs= (0.03* $4900 ) + (0.02* $4900 * 2)
Expected costs=$147+$196
Expected costs=$343
Now let determine the amount of profit or Loss that the company will be making in the long-run on each camera sold
Expected Profit or loss =($221-$343)
Expected Profit or loss =-$122
Therefore it Should expect to LOSE money from selling them of the amount of -$122
The distance traveled (in meters) by an insect is modeled by the equation d=0.3t where d is the distance traveled in meters and t is the time in minutes. Find the distance traveled in 26.3 minutes. A. 0.789 meters B. 87.67 meters C. 26 meters D. 7.89 meters
Answer:
D. 7.89 meters
Step-by-step explanation:
Given,
d = 0.3t
Here,
t = 26.3
Therefore,
d = 0.3*26.3
= 7.89m
A man is twice as old as his son. Five years ago, the ratio of their ages was 9:4. Find the son's present age
Answer:
Son's age is 25.
Step-by-step explanation:
Let the Father's age be 2x.
Let the son's age be x.
Five years ago:
Man's age will be = 2x - 5
Son's age will be = x - 5
If the ratio of their ages five years ago was 9:4, then:
2x - 5/x-5 = 9/4
⇒ 4(2x - 5) = 9(x - 5)
⇒ 8x - 20 = 9x - 45
⇒ -20 + 45 = 9x - 8x
⇒ 25 = x
∴ x = 25
Hence, the son's age = 25 years
If x = 25, the father's age (2x) will be 2 × 25 = 50 years
i don’t know if i got the answer wrong but help!
Answer:
skew
Step-by-step explanation:
Perpendicular lines must intersect. In fact, they intersect forming right angles.
Lines AC and RC are not in the same plane and do not intersect.
They are called "skew lines."
Skew
Because they are in different plane and do not intersect and are not parallel
Solve the equation and enter the value of x below. 7(x + 8) = 84
Hello!
7(x + 8) = 84 <=>
<=> 7x + 56 = 84 <=>
<=> 7x = 84 - 56 <=>
<=> 7x = 28 <=>
<=> x = 28 : 7 <=>
<=> x = 4
Good luck! :)
As an estimation we are told 5 miles is 8 km. Convert 17.8 km to miles.
Answer:
17.8km = 11.125 miles
Step-by-step explanation:
From 5 miles = 8km, we can form the ratio km:miles as 8 : 5.
We want to put the ratio in the form 1 : n, which gives us 1 : 0.625 (we divide both 8 and 5 by 8 to get this form).
Now, using the ratio km:miles as 1:0.625, we have to multiply both 1 and 0.625 by 17.8 to gain the ratio 17.8 : n, therefore giving us the ratio 17.8 : 11.125.
Hence, 17.8km = 11.125 miles
Answer:
11.125 miles
Step-by-step explanation:
Proportions:
5 miles ⇒ 8 km
A miles ⇒ 17.8 km
A = 17.8km*5miles/8miles
A = 11.125 miles
find the compound interest on rs 800 for 2 years at 8% per annum interest being payable annually
Answer:
Rs 968
Step-by-step explanation:
Given :-
P = Rs 800 Rate = 8% Time = 2 yrs .To Find :-
Compound Interest .Solution :-
We know CI as ,
> CI = P ( 1 + R/100)ⁿ
> CI = Rs 800 ( 1 + 10/100)²
> CI = Rs 800 × 11/10 × 11/10
> CI = Rs 968 .
The sum of the angles of all the sectors in a pie chart should add up to ???
a). 180⁰
b). 90⁰
c). 360⁰
Answer me please ...
Answer:
C
Step-by-step explanation:
Since the sectors all meet at the centre of the circle, then
The angles around a point sum to 360° → A
90°... See More
https//90°.com
[tex]\frac{5}{8}[/tex]· [tex]\frac{2}{3}[/tex]
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Multiply straight across and reduce.
[tex]\frac{5}{8}[/tex] · [tex]\frac{2}{3}[/tex] = [tex]\frac{10}{24}[/tex] = [tex]\frac{5}{12}[/tex]
I forgot to label the triangle below! I just know that the cos A = 0.48. Based on this information, which angle should be marked A?
Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
Given that u=4,t=5,a=10and s=it+1\2at
Graph the function f(x)= -5(x+5)^2–4.
Plot the vertex. Then plot another point on the parabola.
Answer:
Vertex= (-5,-4)
Another point=(0, -129)
Step-by-step explanation:
The vertex is also the maximum, and the point is also the y-intercept.
Which of the following is an arithmetic sequence
Answer:
First one.
-3 is added to the previous term.
BRAINLEST IF CORRECT
Answer:
first option
Step-by-step explanation:
the graph has a point of (8,2)
so see which option proves this point
2=0.25(8)
2=2
so first option is correct
I need help ASAP please help! I have to choose between 4 graphs
Answer:
Step-by-step explanation:
This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.
Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x.
Select one: a. 6
b. 24
c. 8
d. - 4
Answer:
a. 6
Step-by-step explanation:
AB +BC =AC
2x-2+2x+10=32
4x+8=32
4x=32-8
4x=24
x=24/4
x=6
solve for x in the equation x^2-12+36=80
Answer:
the answer is given in this picture hope this helps and good luck :)!
Step-by-step explanation:
Step-by-step explanation:
x² -12x+36 =90
(x-6)² =90
x-6. =+-√90
x. =6+-√90
x. =6+-√9×10
x. =6+-3√10
so the answer is first option
m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)
Ayudaaa
9514 1404 393
Answer:
350, 5, 2668, 4
Step-by-step explanation:
a) mcm(35, 50) = 35·50/mcd(35, 50) = 35·50/5 = 350
__
b) mcd(35, 50) = 5
35 = 5·7; 50 = 5·10
__
c) mcm(116, 92) = 116·92/mcd(116, 92) = 116·92/4 = 2668
__
d) mcd(116, 92) = 4
116 = 4·29, 92 = 4·23
What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?
nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?
Answer:
10
Step-by-step explanation:
20÷2=10 the half of 20 is 10 simple as that
Answer:
ok so together they picked 20 apples so
20=y+1/2y
y=40/3 or 13 1/3
thats how many nate picked and we divide by 2
6 2/3
Hope This Helps!!!
Can someone help me with this math homework please!
Answer:
During that time, math symbols (like the division and multiplication sign) and numbers weren't invented yet, so they used words because that was the only choice either than verbally speaking.
Step-by-step explanation:
This is open-ended question, so you can write something similar to the answer I wrote or add on to it :-)
I searched online for the answer and found it on Brainly just to let you know because I was unsure about it loll
Credit: Edufirst
Hope it helps (●'◡'●)
