Answer:
x is equal to four, and y is equal to negative eight.
Step-by-step explanation:
Let's solve it rearranging the first equation to define y:
9x + y = 28
y = 28 - 9x
Now we plug it in to the second equation:
3x + 3y = -12
3x + 3(28 - 9x) = -12
And solve for x:
3x + 84 - 27x = -12
-24x = -96
x = 4
Now we can plug that x value into one of the original equations to find the value of y
9x + y = 28
36 + y = 28
y = 28 - 36
y = -8
Let's test our answer by plugging that y value into the other equation, and seeing if we get the same x value:
3x + 3y = -12
3x + 3(-8) = -12
3x - 24 = -12
x - 8 = -4
x = 4
So we know our answer is correct.
PLEASE PLEASE HELP ME
Answer:
length = 3√5
distance = √13
Step-by-step explanation:
length = √[(lenght(1,-2)to(4,-2))² + (length(4,-2)to(4,4))²]
length = √ 3²+6²
=√9+36
=√45=3√5
distance
d = √(x1-x2)²+(y1-y2)²
d= √(5-3)² + (-2-1)²
d=√2²+(-3)²
d=√4+9
d=√13
1 - 2k + 5k <_ -4 + 3k
Answer:
No solution.
Step-by-step explanation:
1-2k+5k<-4+3k Combine like terms on each side wherever you can.
1+3k<-4+3k Subtract -3k on both sides (it's less confusing when you get
-3k -3k rid of the variable first).
1<-4 1 is not less than or equal to -4, so there is no solution.
I hope this helped you out!! Have a great day (*^3^)╭
which equation matches this graph?
Answer: I'm pretty sure it's the second one.
Step-by-step explanation:
Sorry if it's not right I tried my best.
FAST ILL MARK U BRAINLIEST Write an equation of the line that passes through (2, −1) and is parallel to the line 2y + 3x = 8 . Write your answer in slope intercept form.
Answer:
y=[tex]-\frac{3}{2}[/tex]+2
Step-by-step explanation:
for an equation to be parallel with another both should have the same rate of change(m).
the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)
Isolate for y:
2y+3x=8
2y=-3x+8
y=-3/2x+8/2
y=-3/2x+4
thus the slope of the line we are trying to find must also equal -3/2
use point slope form to find the equation (substitute (2, -1) into equation)
y-y1=m(x-x1)
y-(-1)=(-3/2)(x-2)
y+1=[tex]-\frac{3}{2}[/tex]x+3
y=[tex]-\frac{3}{2}[/tex]+2
Which expression is equivalent to 3(m+ 2) − 4(2m− 9) HELP ASAP
What is the slope of the line?
2x - 5y = 9
Choose 1 answers
5
2
O
9514 1404 393
Answer:
D. 2/5
Step-by-step explanation:
The slope is the x-coefficient when the equation is solved for y.
2x -5y = 9 . . . . . . . given
-5y = -2x +9 . . . . . .subtract 2x
y = (-2/-5)x +9/(-5) . . . . divide by -5
y = 2/5x -9/5
The coefficient of x is 2/5. That is the slope of the line.
The slope is 2/5.
Howe Moving Company has a loading ramp for their moving truck. The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long. What is the distance along the ground from the truck to the end of the ramp?
Answer:
12 feet
Step-by-step explanation:
Given that,
The ramp connects to the truck 5 feet above the ground, and the length of the ramp from the truck to the ground is 13 feet long.
Now we need to find the distance along the ground from the truck to the end of the ramp.
Here,
5 feet will be perpendicular distance, 13 feet will be hypotenuse and we need to find the base.
Using Pythagoras therorem to find it :
[tex]b=\sqrt{13^2-5^2} \\\\=12\ \text{feet}[/tex]
So, the required distance is 12 feet.
Answer:
12 feet!!
Step-by-step explanation:
guy above me is right
Given that
x : 20 = 5 : x
Calculate the positive value of x.
how do you work out the problem -1n+1=11
Answer:
-1n + 1 = 11
subtract 1 both sides
-1n = 10
-n = 10
n= -10
Step-by-step explanation:
3 musical words describing silent night
Select the equation that is true.
25 ÷ 5 = 30 ÷ 6
49 ÷ 7 = 20 ÷ 4
36 ÷ 6 = 21 ÷ 7
12 ÷ 2 = 15 ÷ 5
Answer:
The first one
Step-by-step explanation:
Answer:
25 ÷ 5 = 30 ÷ 6
Step-by-step explanation:
25 ÷ 5 = 30 ÷ 6
5=5
Hope this helps!
Please mark me brainliest if you can. :)
Here is a number puzzle that uses math. Some might
call it a magic trick!
Step
4
0
8
1
17
2
0) Think of a number.
1) Double the number.
2) Add 9.
3) Subtract 3.
4) Divide by 2.
5) Subtract the number you started with
6) The answer should be 3.
14
3
4
7
3
Why does this always work? You can use the table to
try stuff out!
I JUST NEED THE BOTTOM QUESTIONS
Answer:
I think it always work out because they try to manipulate the equation such that you'll get 3
you can actually use other values apart from the ones used
Which equation demonstrates the distributive property?
es =)
A)
36 + 9 = 45
B)
36 + 9 = 3(12 + 3)
C)
36 x 9 = 9 x 36
(12 + 3)3 = 3(12 + 3)
Answer:
c
hope this helps
While on vacation in Rockport, Shawn went out for a dinner that
cost $50. If sales tax in Rockport is 6% and Shawn left an 18% tip on $50, what was the total cost of his meal?
62 dollars hope this helps
what's the highest number - 6 and - 10 and -4 and 7 and 6 and -2
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
in order it would be -10, -6, -4, -2, 6, 7
Hav a great day :P
Which ratio is the same as 2/3?
Answer:
6:15 6 to 15 it's the same o
I need help with this ASAP and can you explain so i can understand?!
Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225
8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?
Answer:
15 people voted yes and 3 people voted no.
Step-by-step explanation:
Given that:
Ratio of yes to no = 5 : 1
Total number of board members who voted = 18
Let,
x be the number of times.
5x+x = 18
6x = 18
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]
People who voted yes = 5(3) = 15
People who voted no = 3
Hence,
15 people voted yes and 3 people voted no.
(x-6)(3x+7)
Expand and simplify
Answer: 3x^2 − 11x − 42
Step-by-step explanation:
Simplify (x − 6) (3x + 7)
Expand (x − 6) (3x + 7) using the FOIL Method.
Apply the distributive property.
x (3x + 7) − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x + 7)
Apply the distributive property.
x (3x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Simplify and combine like terms.
Rewrite using the commutative property of multiplication.
3x ⋅ x + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x by adding the exponents.
Move x.
3 (x ⋅ x) + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Multiply x by x.
3x^2 + x ⋅ 7 − 6 (3x) − 6 ⋅ 7
Move 7 to the left of x.
3x^2 + 7 ⋅ x − 6 (3x) − 6 ⋅ 7
Multiply 3 by −6.
3x^2 + 7x − 18x − 6 ⋅ 7
Multiply −6 by 7.
3x^2 + 7x − 18x − 42
Subtract 18x from 7x.
3x^2 − 11x − 42
Which graph shows a line with a slope of 0?
Answer: c
Step-by-step explanation: if there is no y then its just x=-2
Answer:
c
Step-by-step explanation:
m=y/x and in this case the graph doesn't cross y so ot is valued 0
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
Joe buys a compact disc that costs $29.99. He give the store clerk $50.00.
How much change should he get?
Answer:
$20.01
Step-by-step explanation:
Simply subtract $29.99 from $50.00 so, your problem should be set up like this:
You substitute the numbers with 10s, but there cannot be more than one.
Answer:
$20.01
Step-by-step explanation:
You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:
50.00 - 29.99 = ?
Then, this is what you should have after:
49.91(0) - 29.99 = ?
This is what you get after:
20.01
Then, add the dollar sign. You will get:
$20.01
Hope it helped!
Thursday night, Larry goes to the local game shop. He purchases three new video games for $15.99 each. If the sales tax is 4.5%, how much does he spend?
Answer:
15.99 X 3 = 47.97
47.97/100 X 104.5 = 50.12865
$50.13
3x +4= 9x + 3 I need help PLEASEEE
Answer:
x=-1/6
I luv u
I need some help with this, please. Two tons of sand are put into 100-pound bags. Each bag sells for $15.00. How much is all the sand worth?
Total sand
2ton2(2205lbs)4410lbsTotal bags
4410/10044bags(Approx)Total worth
44(15)440+220$660.00what's the gcf of 3x and 12x
Answer: GCF- is 3x
Step-by-step explanation:
So first you will ignore the X.
You will then find the GCF of 3 and 12.
The calculated value of the gcf of 3x and 12x is 3x
Calculating the gcf of 3x and 12xFrom the question, we have the following parameters that can be used in our computation:
Expressions = 3x and 12x
Expand both expressions
So, we have
3x = 3 * x
12x = 2 * 2 * 3 * x
Multiply the common factors
GCF = 3 * x
Evaluate
GCF = 3x
Hence, the gcf of 3x and 12x is 3x
Read more about GCF at
https://brainly.com/question/17067741
#SPJ4
i need help please.
Answer: 2/5 or 0.4
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
i am trying to solve question two with the graphing method but can’t figure out how because there is only y=2.
Answer: look in the explanantion :)
Step-by-step explanation:
So basically when something is y=2, that means that its just a horizontal line at the number 2
so it would just be a straight horizontal line that is located at the y point of 2
Which expression results in a rational number
Given
A=√12
B= 4√3
c=√49
D=√100
(1) A+B
(2) B+C
(3) D+A
(4) C+D
Answer:
C and D give rational numbers, as the square root of 49 is ±7 and the square root of 100 is ±10.
A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.
Answer:
7200
Step-by-step explanation:
100/(100-15) * 6120 = 7200