Answer:
x = -[tex]\frac{2}{3}[/tex]
y = 2
Step-by-step explanation:
The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations such that one of the variables shared between the two equations has the inverse coefficient of the same variable in the other equation. Therefore, when one adds the equations, the variable cancels. One can solve for the variable using inverse operations, and then backsolve to find the value of the first variable.
When given the following system:
y = 3x + 4
y + 6x = 3x
Use inverse operations so that both equations are solve for one variable,
y = 3x + 4
y = -3x
Add the systems so that one of the variables (x) cancels, this process is called the process of elimination;
y = 3x + 4
y = -3x
_________
2y = 4
Inverse operations,
2y = 4
y = 2
Now backsolve, find the value of (x) by substituting the value of (y) into the equation:
y = -3x
2 = -3x
x = -[tex]\frac{2}{3}[/tex]
Answer: No solution.
Step-by-step explanation:
Divide 240 in the ratio 1 : 5
Answer:
40 : 200
Step-by-step explanation:
1/6 x 240 = 40
5/6 x 240 = 200
A video uploaded had 54 upvotes if the ratio of up votes to down votes was 9:8 how many down votes did the video get
Answer:
48
Step-by-step explanation:
Given data
Ratio= 9:8
Combined ratio= 9+8= 17
Upvotes= 54
Let us apply the part to all approach to find the total votes
let the total votes be x
9/17= 54/x
cross multiply
9x= 54*17
9x= 918
divide both sides by 9
x= 918/9
x=102
Hence the number of downvotes is
=102-54
=48
I need help y’all please
Answer:
12,214.51 meters cubed.
Step-by-step explanation:
Lauren is given a 12% pay rise.Her new salary is £24,080. What was Lauren's salary before the pay rise?
Answer:
The base salary was £21,500.
Step-by-step explanation:
Giving the following information:
Increase rate (g)= 12%
New salary= £24,080
To calculate the base salary, we need to use the following formula:
Base salary= new salary / (1 + increase rate)
Base salary= 24,080 / (1.12)
Base salary= £21,500
The base salary was £21,500.
Solve for x . Enter the solutions from least to greatest. x^2 + 3x - 4 = 0
Answer:
x^2+(4-1)x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x-1)(x+4)=0
either (x-1)=0 Or,(x+4)=0
x-1=0
x=0+1
x=1
x+4=0
x=0-4
x=-4
therefore x=-4,1
Step-by-step explanation:
The required solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
To solve for x in the quadratic equation x² + 3x - 4 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation (ax² + bx + c = 0).
In this case, a = 1, b = 3, and c = -4, so we have:
x = (-3 ± √(3² - 4(1)(-4))) / 2(1)
x = (-3 ± √(25)) / 2
x = (-3 ± 5) / 2
x₁ = (-3 + 5) / 2 = 1
x₂ = (-3 - 5) / 2 = -4
Therefore, the solutions for x are x₁= 1 and x₁= -4, and we can write them from least to greatest as -4, 1.
Learn more about Factors here:
https://brainly.com/question/24182713
#SPJ2
A rug like a rectangle has a width of 3 m . The length of the rug is 2 m greater than its widith . What is the perimeter of the rug in meters
Answer:
16m
Step-by-step explanation:
Given data
Width = 3m
Lenght = 2+3= 5m
We know that the expression for perimeter is
P= 2L+2W
Substitute
P= 2*5+ 2*3
P= 10+6
P= 16 m
Hence the perimeter is 16m
The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT
Answer:
B also have a great day today
Answer:
D, Between 5.4 and 6.5
Step-by-step explanation:
anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6
HELP ME PLEASE I WILL GIVE BRAINLIEST!
Answer:
the correct answer is option C
HELPPPP PLEASE QUICK !!!!
What is the domain and range of the function y=2* ?
Use the graph to help!
4
-2
Answer:
what graph
Step-by-step explanation:
The table shows the number of cars sold per day at a dealership during a promotional sale.
What is the equation of the least-squares regression line, where Y hat is the predicted number of cars sold and x is the day? Round each coefficient or constant to the nearest tenth.
Answer:
We need the table
Step-by-step explanation:
Answer:
.1 ; 1.8x
y=1.8x + .1
==============
The next question, where it asks for "The table shows the number of kilograms a newborn pig weighs during its first week.
" is y=.18x + .96
[this is the next question and so fourth]
and for the one after this question with three options, it is:
21.12; 0.14; 35
then for the one after that one, it is:
64.6; -20.2; 28
then for the one after that one, it is:
(A) 5.2 + 2.2x scoring 1 point
then the one after that one, it is:
(D) 14.92 - 0.02x scoring 0 point
then the one after that one, it is:
r = .50
and last but least,
As budgets increased, the gross revenue increased; r = 0.62. (C)
==============
ED2021
here to fix statistics for you :)
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The sum of two numbers is 58. The smaller number is 20 less than the larger number. What are the numbers?
Answer:
x=38 Larger number
y=20 Smaller number
Step-by-step explanation:
38+20=58
5+5+5x500 x24000000000000
Answer:
6e+16
but that equals
32.3096909708
Answer:
6 x 10^ 17
Step-by-step explanation:
5+5+5 = 15
15 x 500 x 240000000000000
To solve the problem "56 is what percent of 70?", Noah uses the double number line below. On the double number line, write the correct numbers at each unlabeled tick mark. Then solve the problem. Explain your answer
Answer:
80%
Step-by-step explanation:
I have filled out and attached the double number line below. From the picture, we can see that the number 56 is 80% of 70. In the image, this is represented by the second number line where 80% is on the same tick as 56 is on the first number line. Mathematically this can be calculated by dividing 56 by 70 and then multiplying that decimal value by 100 to get the percentage like so...
56 / 70 = 0.8
0.8 * 100 = 80%
Sara buys 4 candles for $12.25 each.
If she has a coupon for 15% off, and
tax is 8.5%, what is her final bill?
Answer:
$44.98
Step-by-step explanation:
12.25 x 4 = 49
if her coupon is 15% off then she pays 85% of 49, which is 41.65
8% tax added to 41.65 is, 41.65 × .08 = 3.33
total cost is 41.65 + 3.33 = 44.98
El número de rebanadas de pizza que se comió cada persona en la fiesta de cumpleaños Elian son: 3,4,5,2,1,4,5,3,2,1,0,2,3,4,6. Media: Moda: Mediana:
Respuesta:
Modo = 2, 3, 4
Mediana = 3
Media = 3
Explicación paso a paso:
Dados los datos:
3,4,5,2,1,4,5,3,2,1,0,2,3,4,6
Datos pedidos: 0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6
La media = ΣX / n = 45/15 = 3
Donde n = tamaño de la muestra = 15
Mediana = 1/2 * (n + 1) th término
Mediana = 1/2 (16) término
Mediana = octavo término
Mediana = 3
Modo = 2, 3, 4 (el más alto ocurre con una frecuencia de 3 cada uno)
Find x and y. (geometry)
Answer:
D
[tex]x = \frac{11}{ \tan(30 \degree) } \\ x = 11 \sqrt{3} [/tex]
[tex]y = \frac{11}{ \sin(30 \degree) } \\ y = 22[/tex]
Factorise x^2+4x+3
Write your steps as well please
Step-by-step explanation:
x²+4+3x²+x+3x+3x(x+1)+3(x+1)(x+1)(x+3)hope it helps.
stay safe healthy and happy...???????? HELLPLPPP ??????????
Answer:
I believe your equation is [tex]y=\frac{4}{5} x-2[/tex]
Step-by-step explanation:
Using the rise over run formula, you get the slope as 4/5. Then, you look for the y-intercept, which turned out to be -2.
Im really questioning my answer to this
(-5) × 7
Answer:
-35
Step-by-step explanation:
-5 times 7 = -35
hope that helped :)
Answer:
- 35
Step-by-step explanation:
The product of a negative and a positive is negative, so
- 5 × 7 = - 35
8. Expo markers cost $4.99 per pack. There is a 20%
discount if 4 or more packs are purchased at Office
Depot. Sales tax is 7%. If Nicole bought 8 packs of
expos, about how much did she pay?
Answer:
34.17
Step-by-step explanation:
8 packs x 4.99/pack=39.92
39.92x.8(100-20% discount)=31.94
31.94 x 1.07% (includes 7% sales tax)=34.17
Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
[tex]\left \{ {{y=5x-4} \atop {y=4x+12}} \right.[/tex]
[tex]\left \{ {{y=\frac{2}{3}x-4 } \atop {y=-\frac{4}{3}+9 }} \right.[/tex]
[tex]\left \{ {{4y+7x=6} \atop {4y+7x =-5}} \right.[/tex]
[tex]\left \{ {{y=0.24x} \atop {y=20.18x+0.9} \right.[/tex]
[tex]\left \{ {{y=4.5x+15} \atop {y=5x+1.25}} \right.[/tex]
[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]
Find the length of the missing side.
Answer: Should be 14
Step-by-step explanation:
Round your answer to the nearest hundredth find side BC
Answer:
take 70 degree as reference angle
using cos rule
let adjacent be x
cos70=adjacent/hypotenuse
0.34=x/5
0.34*5=x
1.7=x
Step-by-step explanation:
a)
Complete this prime factor tree:
36
b)
Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
After going on vacation, Mandy came home with $5. She spent $6 on a pair of sunglasses, $10 on snacks, $4 on a book, and $5 on arcade games. How much money did Mandy start with?
Answer:
$30
Step-by-step explanation:
Adding up all the expenditures and the remaining amount
starting amount = expenses + remainder
starting amount = ($5 + $6 + $10 + $4) + ($5)
starting amount = $30
20. A movie streaming website charges an initial fee of $120, plus $5 for each movie that is
streamed. How many movies must be streamed for the average cost per movie to fall to $7?
a. 10 movies
b. 60 movies
c. 25 movies
d. 120 movies
Answer: b. 60 movies
Step-by-step explanation:
60 * $5= $300
$300+$120= $420
$420/60= $7
Can someone please help me
Answer:
if I am correct the answer should be 2
Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.
Answer:
2090
Step-by-step explanation:
0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent