[tex]y = 10x +2~~....(i) \\\\-5x +4y = -27~~....(ii)\\\\\text{Substitute y =10x+2 in equation (ii):}\\\\\\-5x +4(10x+2) = -27 \\\\\implies -5x + 40x + 8 +27 =0\\\\\implies 35x +35=0\\\\\implies 35(x +1) =0\\\\\implies x +1 = 0 \implies x = -1\\\\\text{Substitute} ~x =-1 ~ \text{in equation (i):}\\\\y = 10(-1) +2 = -10+2 = -8 \\\\\\\text{Hence}~ (x,y) = (-1,-8)[/tex]
Answer:
(x, y) = (19/35, 52/7)
Step-by-step explanation:
When you have an expression for one of the variables, the "substitution" method of solution is a reasonable choice. Here, we have an expression for y that can be substituted into the second equation.
-5x +4(10x +2) = 27
35x +8 = 27 . . . . . . . simplify
35x = 19 . . . . . . . subtract 8
x = 19/35 . . . . divide by the coefficient of x
y = 10(19/35) +2 = 52/7
The solution is (x, y) = (19/35, 52/7).
HEY WAS I CORRECT? BRAINLIST FOR EXPLANATION
Answer:
yes, it is correct. Why weren't you sure?
9 x 7 x 8 x 8 x 8 x y x 0 x 7
Answer:
0
Step-by-step explanation:
because anything times zero is zero
not sure on how to type this out but can anyone help me ??
Answer:
484
Step-by-step explanation:
This is because 22 squared is 484.
When you take something out from under the square root symbol, you have to square it.
Thus, a number outside the square root to the left of the symbol was originally that same number squared under the square root symbol.
Thus as 22 is outside the symbol, it was originally 22 squared while under the symbol, and 22 squared is 484.
HELP PLEASE!!!!!!!!!!!!!
Step-by-step explanation:
the first one I think pls give me a brainliest
What is the answer of (n+8)+(n-12)
Answer:
n = 2
Step-by-step explanation:
Simplifying
(n + 8) + (n + -12) = 0
Reorder the terms:
(8 + n) + (n + -12) = 0
Remove parenthesis around (8 + n)
8 + n + (n + -12) = 0
Reorder the terms:
8 + n + (-12 + n) = 0
Remove parenthesis around (-12 + n)
8 + n + -12 + n = 0
Reorder the terms:
8 + -12 + n + n = 0
Combine like terms: 8 + -12 = -4
-4 + n + n = 0
Combine like terms: n + n = 2n
-4 + 2n = 0
Solving
-4 + 2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2n = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2n = 0 + 4
2n = 0 + 4
Combine like terms: 0 + 4 = 4
2n = 4
Divide each side by '2'.
n = 2
Simplifying
n = 2
15.
Are the graphs of the lines in the pair parallel? Explain.
Find the slope of a line parallel to 5x + 2y = 6
A. -5/2
B. 2/5
C. -2/5
D. 5/2
Step-by-step explanation:
5x + 2y = 6
m = -a/b
m = -5/2
Option → A
PLEASE HURRY AND HELP ME. I'LL GIVE YOU 30 POINTS AND MARK YOU BRAINLIST IF YOU ANSWER FAST. Which two equations could you use as a system to find the cost of the entry fee and the cost of each ticket? Why?
Answer: SYSTEMS OF EQUATIONS in TWO VARIABLES. A system of equations is a collection of two or more equations with the same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear.
Step-by-step explanation:
Answer:
Gwen's and Tristan's. Keith already has the same equation as Gwen, so it won't help us find out the cost of the entry fee and the cost of each ticket.
look at screen shot will mark brainliest if correct!!!!
Answer:
The slope of line A is 2, because it goes up 2 units and over to the right 1, but you don't write the 1 in this case.
The slope of line B is -1/2, because it goes down 1 unit and over to the right 2 units.
For the last box: The slopes have opposite reciprocals.
Step-by-step explanation:
Hope this helps you :)
Sorry if it didn't though.
Mr. Keller's art class designed a mural for their school's cafeteria. First, they tested their idea
with a 2-fluid-ounce tube of paint and a small canvas. They needed half of the tube to cover
the 0.25-square-foot canvas. Now, they feel ready to paint the actual 48-square-foot mural.
How many gallons of paint should Mr. Keller's class buy for their mural?
Answer: 1.5 gallons
Step-by-step explanation:
(1/2) of a 2oz tube covers 0.25ft^2. Make this into a conversion factor:
1 oz/0.25ft^2
4oz/ft^2
They have a 48 ft^2 mural. Assuming no mistakes in painting, they will need:
(48 ft^2)*(1 oz/0.25ft^2) = 192 oz [Note how the ft^2 units cancel]
There are 128oz/gallon. Make this a conversion factor:
(gallon/128oz)
Convert 192 oz to gallons: (192 oz)*(gallon/128oz) = 1.5 gallons
Pls help I've been stuck on here for 30 minutes I'm not smart lol
Answer:
2
Step-by-step explanation:
copy the proportion;
1 x
- = ----
8 16
16/8 = 2
1 x 2 = 2
PLZ PLZ PLZ PLZZZZ HELPPPP MEEEE BRAINLYESt
Answer:
84 degrees
Step-by-step explanation:
Translate triangle A vector by vector (3). To give triangle B..
(-1)
Plz help urgent
Answer:
rotated about 180 degrees clockwise
Step-by-step explanation:
Triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
From the given graph, the vertices of triangle A are (1, -1), (1, -4) and (3, -4)
The given vector is (-3, 1).
Translate triangle A by a vector (-3,1) to give triangle B.
Then rotate your triangle B 180 degrees around the origin to give triangle C.
The following steps can be used to describe the transformation that maps triangle A onto triangle C:
Step 1 - Triangle A is given in the fourth quadrant.
Step 2 - Now, as per the given data translate triangle A by a vector (-3,1) which means the triangle shift in the negative x-axis by a factor of 3 and also shift downwards in the negative y-axis by a factor of 1.
The resulting triangle is in the third quadrant which is triangle B.
Step 3 - Now, rotate the triangle B by 180 degrees. So, the resulting triangle is triangle C which is in the first quadrant.
Therefore, triangle C is in the first quadrant and this transformation is done by translating triangle A by a vector (-3,1) and then rotating the triangle B by 180 degrees.
To learn more about the translation visit:
https://brainly.com/question/17485121.
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Here this is another one
Answer:
8. if he drove at a constant speed and made it 585 miles in 13 hours then first you 585/13 which gives you 45 miles an hour then you divide 810/45 to see how many hours that took and that would be 18 hours.
9. 1.20/8 is 0.15 and 0.15 times 17 is 2.55 then thats the cost of a 17 min call
Step-by-step explanation:
Answer:
This is for your online exam, neither why are you taking help from here, make it yourself
Find the values of x and y.
(8x + 7)
5y (7y - 34)
(9x - 4)
X=
y=
pls someone help me
Answer:
x=16
y=10
Step-by-step explanation:
8x-14=5x+34
3x=48
x=16
8(16)-14=114
114+5y+16=180
5y+16=66
5y=50
y=10
Answer:
x=16 y=10
Step-by-step explanation:
did this on my quiz. i got it right
What is the value of k?
(Not multiple choice)
Answer:
k is 10
Step-by-step explanation:
Can u plzzz help meeee plzzzz
Answer:
1. 452.16 square centimeters
2. 150.72 square centimeters
3. 25.12 centimeters
Step-by-step explanation:
1. the area of the circle
The area of a circle can be calculated with:
[tex]a=\pi r^2[/tex]
The area of the given circle then, is:
[tex]a=\pi 12^2\\a=144\pi\\[/tex]
or just 452.16 square centimeters.
2. the area of the minor sector
There's a convenient formula for this, but I don't remember it and you don't really need it. A full circle is 360°, and 120° is exactly 1 third of that. 1 third of the size means 1 third of the area:
[tex]a=452.16*\frac{1}{3} \\a=150.72[/tex]
or 150.72 square centimeters
3. the area of the minor arc
You can do the same thing here. The circumference of a circle is:
[tex]u=2\pi r[/tex]
So the circumference of the given circle is:
[tex]u=2\pi (12)\\u=24\pi[/tex]
or about 75.36 centimeters.
One third of that:
[tex]u=75.36*\frac{1}{3} \\u=25.12[/tex]
25.12 centimeters.
SHOW YOUR WORK answer and step by step
Answer:
v = -24
Step-by-step explanation:
7/8 v = -21
Multiply each side by 8/7 to isolate b
8/7 * 7/8 v = -21 * 8/7
v = -24
Find the difference 6 - 4 =
The answer is 2! This was very easy for me to figure out, and I think it was easy for you to as well. But no shame if you need help!
How are rational numbers created
Answer:
A Rational Number can be made by dividing an integer by an integer. (An integer itself has no fractional part.)
If
p
:
q
=
1
3
:
2
and
p
:
r
=
3
4
:
1
2
, calculate the ratio
p
:
q
:
r
Giving your answer in its simplest form.
Answer:
p : q : r = 3 : 18 : 2
Step-by-step explanation:
Given:
p : q = (1/3) : 2
p : r = (3/4) : (1/2)
Find:
p : q : r
Solution:
We want to rewrite these ratios so they use the same number for p. We can do that by using the least common multiple of (1/3) and (3/4) for p. That value is 3.
p : q = (9)(1/3) : (9)(2) = 3 : 18
p : r = (4)(3/4) : (4)(1/2) = 3 : 2
Then the ratio of interest is ...
p : q : r = 3 : 18 : 2
_____
Additional comment
We are not often asked to find the least common multiple of fractions or mixed numbers. One way to do it is to write the numbers using a common denominator, then find the LCM of the numerators, and reduce any resulting fraction.
LCM(1/3, 3/4) = LCM(4/12, 9/12) = (1/12)·LCM(4, 9) = 36/12 = 3
__
As with integers, you also have ...
LCM(1/3, 3/4) = product/GCD = (1/3)(3/4)/GCD(1/3, 3/4)
The greatest common divisor (GCD) will be the unit fraction with the least common denominator: 1/12, so this is ...
LCM(1/3, 3/4) = (1/3)(3/4)/(1/12) = (3/12)/(1/12) = 3
Which relation is also a function?
Answer:
D because if you graphed the others they wouldn't pass the vertical line test
Pls help I’ll give you 25 points I need help on a and c
Answer:
12
then’
156
Step-by-step explanation:
hope it helps
Help! I WILL GIVE BRAINLIEST!
Answer:
x > -3
Step-by-step explanation:
Answer:
x is greater than or equal to -3
what is –28.97 as a mixed number.
-28.97 written as a mixed number is = -28 97/100
Answer:
-28 97/100
Step-by-step explanation:
-28 97/100 yea
Each side of a checkerboard measures
40 cm. What is the length of its
diagonal?
The length of diagonal of the checkerboard is [tex]40\sqrt{2} cm[/tex].
The Pythagoras theorem can be applied to a right angle triangle. It states that the square of hypotenuse is equal to sum of square length of base and height of the triangle. Mathematically: Hypotenuse² = Perpendicular² + Base². The diagonal of a square divides the square in two right triangles.
The each side of a checkerboard measures 40 cm, that means checkerboard is a square. So, applying the Pythagoras theorem in the triangle formed by diagonal and two sides of square,
[tex]D^2=S^2+S^2\\D^2=40^2+40^2\\D=40\sqrt{2} cm[/tex]
Where D is the length of diagonal and S is the length of side of checkerboard.
Therefore, the length of the diagonal of checkerboard is [tex]40\sqrt{2} cm[/tex].
To learn more about the Diagonal of Square visit here:
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Math problem help please
Answer:
One ordered pair would be (1, -6).
Step-by-step explanation:
Let x = 1, then
3(1) - y = 9
-y = 9 - 3 = 6
y = -6.
Answer:
Give a value to either x or y.
For example: if x=2,
3x-y=9
3*2-y=9
6-y=9
y=-3
(x,y) = (2,-3) an ordered pair
Step-by-step explanation:
5 gallons to 50 gallons simplest form
Answer:
1/10
Step-by-step explanation:
what is 4/9 = 2/3 + 1/3b??????
b= -1.5
4/9=2/3 +1/3b
4/9= 6/9+1/3b
-2/9=1/3b
-2/9=3/9b
/-2/9
b= - 1.5
Answer:
Exact Form:
b = -2/3
Decimal Form:
b = -0.¯6
To make a complete uniform, Miss cruz uses 1.25 meters of cloth for blouse and 1.35 meters for skirt. how much will 12 sets of uniform cost if a meter of material used cost P50?
Answer:
Step-by-step explanation:
to find this all you need to do is find the cos per full uniform by adding 1.25m for the blouse and 1.35m for the skirt. This will equal 2.6m per full uniform. you need to then multiply this by 12 to find the total fabric needed for the 12 uniforms which will equal 31.2. you then multiply this answer by the 50 cents per meter to get the cost which will be $15.60
