Answer: The numbers are 1 and 3.
Step-by-step explanation:
Let x = smaller number , y= larger number.
As per given,
[tex]x=\dfrac{y}{3}[/tex] ...(i)
[tex]x+y=y^2-5[/tex] ...(ii)
Put value of x from (i) in (ii)
[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]
Since numbers are positive , so y=3 is correct.
And x will be 1 [from (i)]
Hence, the numbers are 1 and 3.
19. Find the measure of angle ABC.
Answer:
72
Step-by-step explanation:
6x+6x+8x=180 (∠ sum of Δ)
20x=180
x=9
∠ABC=8(9)
=72
Someone help worth 5 points
Answer:
43
Step-by-step explanation:
Answer:
b 43 on edge 2021.........
PLEASE HELP! ITS DUE TODAY!!!
Answer:
Step-by-step explanation:
1.24 * 0.15 = 0.0186
As you can see, the numbers are the same, but the order of the decimal is different.
Since the order of the decimal is different, so will the answer.
1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.
You might not see the decimal in 1,860, but it is after the 0.....
1,860.0 ( same thing just added a decimal, but it is the same value)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Grey ran 2.4 times as many miles as Emory. If Emory ran 2.08 miles, how many miles did grey run?
Answer:
If Grey ran 2.4 times as many miles as Emory, then 2.08 x 2.4 = 4.992
Step-by-step explanation:
4.992
Answer:
4.992
Step-by-step explanation:
Hey there !!!
to find the answer to this problem you multiply the number of miles that grey ran to the number of miles that Emory ran:
2.4 * 2.08 = 4.992
Hope it helped !!
have a wonderful day
pls help!! it's due in a few minutes :(
Graph {x | x -2}.
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−7, 3) and T(3, 3). What is the length of Side RT of the polygon?
4 units
6 units
10 units
16 units
Answer:
The answer is 10 units because if you add up all the units that would be on the side you will get 10
Step-by-step explanation:
2(x+1) please do full steps and answer thank you i will give brainlist
Distribute the parentheses:
2(x + 1)
2 · x = 2x
2 · 1 = 2
2(x + 1) = 2x + 2
Work out − 5 × ( − 8 )
Please help!!
Will mark brainliest
Answer:
y = 2
Step-by-step explanation:
y=2 every time you add 3 to x your adding 2 to the y
-3 + 3 = 0 and 3 + 2 = 5
0 + 3 = 3 and 5 + 2 = 7
Suppose f(x)= x? - 6r? +9x and g(x)=10x-6.
Answer:
f ( 10 x − 6 ) = 1000 x^ 3 − 1800 x ^2+ 1170 x − 306
Step-by-step explanation:
The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function models the value of this new television x years after it was purchased?
Answer:
t(x) = 948(0.955)^x
Answer:A
Step-by-step explanation:
April, May and June have
90
sweets between them. May has three-quarters of the number of sweets that June has.
April has two-thirds of the number of sweets that May has. How many sweets does June have?
Answer:
40 sweets
Step-by-step explanation:
Let june have x sweets
may has 3x/4 sweets
April has x/2 sweets
total sweets is 90
Adding all sweets =
x/2+3x/4+x = 90
9x = 360
x = 40
Therefore June has 40 Sweets
Plz help!!
A concession stand sells 3 hot dogs for every 4 hamburgers. Hot dogs come in packages of 8.
How many packages of hot dogs does the owner need to buy if he predicts he will sell 256 hamburgers?
Answer:
The concession stand sold 46 hot dogs and 32 hamburgers.
Step-by-step explanation:
divide 120 in the ratio of 1 : 4
Dividing 120 in the ratio of 1 : 4 will give 24 and 96.
The first number that'll be gotten based on the information given will be:
= 1/5 × 120
= 24
The second number that will be gotten based on the information given will be:
= 4/5 × 120
= 96
Therefore, the numbers will be 24 and 96.
Read related link on:
https://brainly.com/question/18922046
A student wants to prove that she can solve a system of a system of equations by replacing one of the equations with two times that equation and adding the other equation. The original system was 12x +2y =30 and 10x+y = 26. The student claims that her first step is to add the two linear equations. Select the option that refutes the student claim
Answer: y=+{%
Step-by-step explanation:
€
hey
heh
Lucas has a jar of coins that contains only nickels and dimes. He has 30 coins itſ the jar worth a
total of $2.10. Which system of equations could be used to find the number of nickels, n, and
the number of dimes, d, that Lucas has in the jar?
А
n+d = 2.10
5n+100 = 30
B
n+d = 30
5n-10d =2.10
с
n-d = 30
0.05n+0.10d = 2.10
D
n-d=2.10
0.050+ 0.100 = 30
Answer:
Step-by-step explanation:
The correct system of equations which is the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Lucas has a jar of coins that only contains nickels and dimes. He has 30 pennies in the jar, which is worth $2.10.
Let represents the number of nickels, n,
And the number of dimes, d, that Lucas has in the jar
The system of equations to find the number of nickels and dimes that Lucas has in the jar is:
n + d = 30
0.05n + 0.10d = 2.10
This system can be used to solve for the values of n and d. The first equation represents the total number of coins, and the second equation represents the total value of the coins in the jar.
Learn more about the equation here:
brainly.com/question/13947055
#SPJ2
Help me please... I have a lot more things to do and I wanna get this done.
Answer:
-6
Step-by-step explanation:
count
Answer:
-6
Step-by-step explanation:
each dash on the line changed by one. So i you go down, you subtract 1, and if you go up, you add 1.
13.
Write and solve a system of equations for each story problem.
A class of 366 students went on a field trip. They took 12 vehicles, some vans and some buses
Find the number of vans and the number of buses they took if each van holds 6 students and each bus holds
55 students
Answer:
6 vans and 6 buses
Step-by-step explanation:
v+b=12 this equation represents the amount of vehicles
6v + 55b = 366 this equation represents the amount of students per vehicle.
after solving you get v=6 and b=6
look at screenshot and answer question
Answer:
24x+32
Step-by-step explanation:
=(3x+4)(8)
=(3x)(8)+(4)(8)
=24x+32
PLEASE ANSWER ASAP !!!! WILL GIVE BRAINLIEST
Answer:
6z-7>8z+2? = z < -9/2
Step-by-step explanation:
6*z-7-(8*z+2)>0
-2z - 9 = -1 • (2z + 9
Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
2z+9 < 0
Divide both sides by 2
z+(9/2) < 0
Subtract 9/2 from both sides
z < -9/2
Answer: z < -9/2
Answer:
z is (less than) -9/2 is the correct answer use the symbol for less than.
Step-by-step explanation:
I put it through Photomath which is 100% right all the time with these equations.
Find output, y when the input, x, is -3 Y=
Answer:
2
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
Locate x = - 3 on the x- axis, go vertically up to meet the graph at (- 3, 2 )
Then when x = - 3, y = 2
Is C + 11 = 20; c =9 a solution or not a solution
Please help me 35 points but please do not abuse this and answer incorrectly. Will name brainliest Thank you :)
Step-by-step explanation:
You just simplifyall answers or expand them and add them up
Solve for t.
-18 = 6t
A. t = -3
B. t = -1/3
C. t = 12
D. t = 24
Answer:
A) t = -3
Step-by-step explanation:
-18 = 6t
divide both sides of the equation by 6
-18/6 = 6t/6
-18/6 = t
-3 = t
Calculate the perimeter of ABCD.
B
+
6 cm
950
8 cm
5 cm
C
Answer:
The perimeter is 28.13 cm
Step-by-step explanation:
We connect a line from A to C
we can use the cosine rule to find the length AC
let us call it x
AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B
we have this as;
x^2 = 6^2 + 8^2 - 2(6)(8) cos 95
x^2 = 36 + 64 + 8.37
x^2 = 108.37
x = √108.37
x = 10.4 cm
AC = 10.4 cm
now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle
We can use Pythagoras’ theorem to get the value of CD
We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides
let DC be y
10.4^2 = 5^2 + y^2
y^2 = 108.37 - 25
y^2 = 83.37
y = √83.37
y = 9.13 cm
The perimeter of the shape is the sum of all its sides
so we have;
AB + BC + CD + AD
= 6 + 8 + 9.13 + 5
= 28.13 cm
What is the greatest common factor (GCF) of 24 and 36?
4
12
2
6
the greatest common factor of 24 and 36 is 12
Answer:
12
Step-by-step explanation:
Please Help! I'll give brainliest if right!!!!
Answer:
6
Step-by-step explanation:
Step 1: g(6) = 4 - 2 x 6
Step 2: g(6) = 4 - 12
Step 3: g(6) = -8
Step 4: g(9) = 4 - 2 x 9
Step 5: g(9) = 4 - 18
Step 6: g(9) = -14
(Final Step) Step 7: g(6) - g(9) = -8 - (-14) = 6
A pump moves 70 gallons of water
per minute. How long will it take the
pump to empty a 2,030-gallon tank?
Is 3 a factor of 245 - 16?
yes
no
HELPPP
Answer:
No
Step-by-step explanation:
For 3 to be factor your finale number has to be divisible by 3, so with that information all you have to do is subtract 245-16 which is 229, and if you divide 229 by 3 it does not equal a whole number so 3 cannot be a factor.
I hope this helps, and have a great day! :D
Write the equation of a line going through the points (4,2) and (7,-3).
Answer:
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
Step-by-step explanation:
Step(i):-
Given points are ( 4,2 0 and ( 7,-3)
Slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-3-2}{7-4} = \frac{-5}{4}[/tex]
Step(ii):-
Equation of the straight line passing through the point ( 4,2) and
having slope m = [tex]\frac{-5}{4}[/tex]
y - y₁ = m( x- x₁ )
[tex]y - 2 = \frac{-5}{4} ( x-4)[/tex]
4( y -2) = -5( x-4)
4 y - 8 = - 5x +20
5x +4y -8 -20=0
5 x + 4y - 28=0
Final answer:-
Equation of the straight line passing through the point ( 4,2) and (7,-3) is
5 x + 4y - 28=0
