Which of the following equations has the same solutions as the equation 3x + 2y = -12? Check all that apply.
Answers
Answer:
[tex]B.\ -3x - 2y = 12[/tex]
[tex]C.\ 15x + 10y = -60[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
[tex]F.\ 1.5x + y =-6[/tex]
Step-by-step explanation:
Given
[tex]3x + 2y = -12[/tex]
Required
Determine equations with same solution as [tex]3x + 2y = -12[/tex]
For a solution to have the same solution as [tex]3x + 2y = -12[/tex], the equation must be expressed as [tex]3x + 2y = -12[/tex]
[tex]A.\ 3x - 2y = 12[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
[tex]B.\ -3x - 2y = 12[/tex]
Multiply through by -1
[tex]-1(-3x - 2y) = 12 * -1[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]C.\ 15x + 10y = -60[/tex]
Divide through by 5
[tex]\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]D.\ 6x + 2y = -12[/tex]
Divide through by 2
[tex]\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}[/tex]
[tex]3x + y = -6[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
Divide through by 2
[tex]\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}[/tex]
[tex]3x + 2y = -12[/tex]
This has the same solution as the given equation
[tex]F.\ 1.5x + y =-6[/tex]
Multiply through by 2
[tex]2*1.5x + 2*y =-6*2[/tex]
[tex]3x + 2y =-12[/tex]
This has the same solution as the given equation
[tex]G.\ x + \frac{2}{3}y = -12[/tex]
Multiply through by 3
[tex]3 * x + 3*\frac{2}{3}y = -12*3[/tex]
[tex]3x + 2y = -36[/tex]
This can not be expressed as [tex]3x + 2y = -12[/tex]
The equations with the same solution as [tex]3x + 2y = -12[/tex] are the ones that we were able to expressed as [tex]3x + 2y = -12[/tex].
And the equations are:
[tex]B.\ -3x - 2y = 12[/tex]
[tex]C.\ 15x + 10y = -60[/tex]
[tex]E.\ 6x + 4y = -24[/tex]
[tex]F.\ 1.5x + y =-6[/tex]
Related Questions
Here are the ingredients needed to make 8 biscuits.
Biscuits
To make 8 biscuits
90g of butter
35g of sugar
125g of flour
Hamid has 315g of butter
150g of sugar
500 g of flour
Work out the greatest number of biscuits Hamid can make.
Answers
The greatest number of biscuits Hamid can make is 28.
What is the greatest number of biscuits Hamid can make?The first step is to determine the quantity of each ingredient needed to make 1 biscuits.
Grams of butter needed to make 1 biscuit : 90 / 8 = 11.25gGrams of sugar needed to make 1 biscuit : 35 / 8 = 4.38gGrams of flour needed to make 1 biscuit : 125 / 8 = 15.63gNow determine the number of biscuits that can be made using each of the ingredients
Butter = 315 / 11.25 = 28Sugar = 150 / 4.38 = 34Flour = 500 / 15.63 = 32To learn more about ratios, please check: https://brainly.com/question/19257327
#SPJ1
The table gives the prices of a few items sold at a school cafeteria.
Item Cost
Bagel $2.00
Juice $0.90
Sandwich $3.00
Cupcake $1.50
Match the prices with the sets of items purchased by students.
-
$12.50
$15.00
$10.00
$11.60
-
2 bagels and 4 cupcakes
5 juices and 4 bagels
4 bagels and 4 juices
4 sandwhiches and 2 cupcakes
Answers
Answer:
$10.00 - 2 bagels and 4 cupcakes
$11.60 - 4 juices and 4 bagels
$12.50 - 5 juices and 4 bagels
$15.00 - 4 sandwhiches and 2 cupcakes
Also, Why does everyone like bagels so much???????
F
is directly proportional to
a
.
If
F
=
24
when
a
=
8
find,
F
when
a
=
6
Answers
Answer:
F=6*24/8.....F=6*3=18
please help me!! :)
Answers
Answer:
C is your answer
Step-by-step explanation:
PLEASE HELP ME OUT I NEED THIS BY TONIGHT!!!!
You buy one can of Red Bull for $2 and x bags of Skittles. Write an equation to model the total cost, y, of one can of Red Bull for $2 and x bags of Skittles. Next, what is the total cost if you buy 4 bags of Skittles?
Answers
Answer:
y = x + 2
Step-by-step explanation:
The total cost if you buy 4 bags of Skittles is $6.
If I get $18 (USD) every 2 weeks and I start with $45.01 how many weeks will it take to get to $130.17?
Answers
Im confused on this can someone help me out
Answers
Sara says, "If you subtract 14 from my number and multiply the difference by - 4, the result is - 44."
What is Sara's number?
Answers
Answer: I believe that the answer would be 25.
Step-by-step explanation:
HOPE IT HELPS :)
80 points
which of the following points are the first quadrant of the XY-plane ? (there’s more than one answer!)
pls help!
picture to help
Answers
Answer:
A and c
Step-by-step explanation:
Answer and Step-by-step explanation:
This is the first quadrant. ^
|
|
Q2 | Q1
|
|
|
<--------------------------------------------------|------------------------------------------------------->
|
|
|
Q3 | Q4
|
|
V
So, anything in the first quadrant would be positive (for both values of x and y).
That means E and F are the correct choices, since both (4, 8) and (2, 2) are positive and would be found in the first quadrant.
#teamtrees #WAP (Water And Plant)
simplify the expression 3 √ 2 - 5 √ 18
Answers
(mark brainliest if correct plss)
Please answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Answer:
[tex]2 \sqrt{15} [/tex]
Find the 93rd term of the arithmetic sequence -5, -15, -25, ...−5,−15,−25,...
Answers
Answer:
The nth term will be:
[tex]a_{93}=-925[/tex]Step-by-step explanation:
Given the sequence
-5, -15, -25, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-15-\left(-5\right)=-10,\:\quad \:-25-\left(-15\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
The first element of the sequence is:
[tex]a_1=-5[/tex]
Thus, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting the values [tex]d=-10[/tex]; [tex]a_1=-5[/tex]
[tex]a_n=-10\left(n-1\right)-5[/tex]
[tex]a_n=-10n+5[/tex]
Plug in n = 93 to determine the nth term
[tex]a_{93}=-10\left(93\right)+5[/tex]
[tex]a_{93}=-930+5[/tex]
[tex]a_{93}=-925[/tex]
Therefore, the nth term will be:
[tex]a_{93}=-925[/tex]One yard is approximately 0.91 meter. Write a direct variation equation that relates x yards to y meters.
Answers
Answer:
x=(y .91)
Step-by-step explanation:
1 yard means only 1 x
.91 meters which is y
Solve for x please help me out
Answers
Answer: x=5, choice D
Step-by-step explanation:
you have two vertical angles
11x=55
55/11=5
x=5
Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going to see a movie tonight with 3 of his 10 closest friends, what is the probability that the first 2 of the friends to show up to the movie are friends he has known since kindergarten but the third is not?
1/30
9/125
12/125
1/10
Answers
Answer:
The answer correct answer is 1/30
Step-by-step explanation:
Answer:
1/30
Step-by-step explanation:
can someone help me, i also need you to explain if you can? if not, that’s ok.
Answers
Answer:
sam and eric are going on a trip and thought to rent a car. they have to pay a fee of 30 dollars and an extra 7 dollar for each hour they take. sam and eric's are planned to spend $205 or less. how many hours can eric and sam rent the car?
Step-by-step explanation:
first assign a value for the variable, I will take H as hours
Answer:
Sorry i dont know
Step-by-step explanation:
give an example of infinite solution
Answers
Answer:
?
Step-by-step explanation:
3=3
Hi, I still have to struggle with this and it's due later today! If someone could show me how to do it I will make you're a brain list and give you 28 points I need help w part C to E. I would appreciate it.
Answers
Answer:
C) Explain how the equations are equal and just prove it with a check or just plug in a number like for ex: x=1 and I checked with both and it equals out.
d) Use inverse operations (or you can say do the order of operations in reverse and then use invers operations), provide an example if you think what you said doesn’t make sense, like for
Ex: 2x-1=43+5x
2x=44+5x (add the -1)
-3x=44 (subtract 5x to both sides)
X=44/-3 (isolate the variable by dividing 3 on both sides)
An example is always better
E) Just use inverse operations and solve it like what you would normally do
I hope I helped
help me find the slope
Answers
hope this helped!!
It takes one pizza to feed three people. How many pizzas will it take to feed forty-eight people?
Answers
Answer:
option 3-- 16 pizzas
Step-by-step explanation:
divide 48 by 3 = 16
Answer:
16 pizzas will feed 48 people
Step-by-step explanation:
If 1 pizza feeds 3 people it will take 16 pizzas to feed 48.
48/3=16
Find the third side in simplest radical
form:
3
5
Answers
Answer:
4?
Step-by-step explanation:
evaluate-a-function f(x) = [tex]\frac{x}{7}[/tex] f(7) =
Answers
Step-by-step explanation:
Hey there!
f(x) = 7/x
~ Simply keep the "7" in the place where "x" is there.
[tex]f(7) = \frac{7}{7} [/tex]
Therefore, X= 1.
Hope it helps....
Answer:
After evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
Step-by-step explanation:
We need to evaluate the function [tex]f(x)=\frac{x}{7}[/tex] and find f(7)
For finding f(7) we will put x = 7 in the given function [tex]f(x)=\frac{x}{7}[/tex]
So, putting x= 7 and finding f(7)
[tex]f(x)=\frac{x}{7}\\Put\:x=7\\f(7)=\frac{7}{7}\\f(7)=1[/tex]
So, after evaluating the function [tex]f(x)=\frac{x}{7}[/tex] by putting x = 7, we get f(7)= 1
One teacher wants to give each student 2/3 of a slice of pizza. If the teacher has 6 slices of pizza, then how many students will she be able to hand out pizza to?
Answers
The area of a square is 100 square centimeters.
What is its perimeter?
OA. 40 centimeters
OB. 50 centimeters
OC. 80 centimeters
OD. 100 centimeters
OE. 400 centimeters
Answers
Answer:
answer choice a
Step-by-step explanation:
..............
A hot air balloon is dropping from a height above the ground at a steady rate of 8 feet per second. It starts from a height of 765 feet. After t-seconds it has hit a height of 421 feet. Set up and solve an equation for the value of t.
Answers
pls help i got stuck
Answers
Answer:
The sum is -14
Step-by-step explanation:
To solve this problem , first you should look at key words. The key word is SUM. What does sum mean? Sum means ADDING or addition. So, you know what operation to use and then ADD the values of the 3 cards. -12+3+-5 = -14.
So the sum of the values are Of LuAnn's three cards is -14. Hope it helps!
~ Happy holidays
A surfboard was originally priced at $199. The store reduced the price by 10%. A customer bought the surfboard using a coupon for $20 off. How many dollars did the customer pay?
Answers
Answer:
$159.1
Step-by-step explanation:
Given that:
Original price of surfboard = $199
Reduction of price done = 10%
Then a coupon is used by a customer for $20 off.
To find:
How many dollars were paid by the customer?
Solution:
First of all, let us find the price after the reduction of 10% from the original price.
10% of $199 = [tex]\frac{10}{100}\times 199 = \$19.9[/tex]
This price is reduced from the original price.
Price after reduction = $199 - $19.9 = $179.1
Now, again there is coupon of $20.
Therefore, final price that the customer had to pay = $179.1 - $20 = $159.1
How to do this question -14=k-4
Answers
Answer: hope this helps .
Step-by-step explanation:
2/8 is considered a real number. True or false.
Answers
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
2/8
÷2
1/4
1/4=0.25
1/8=0.25
pleeeese help. the question is easy
Answers
Answer:
the answer is : -2x^2+13
Step-by-step explanation:
pls mark brainliest plspls
oh and btw hows ur day been going, hope good, make sure to not forget to drink water :)