Answer:
The solution to the system of equations is:
[tex]x = -9[/tex], [tex]y=-3.4[/tex]
Step-by-step explanation:
Given the system of equations
-2.1x + 4y = 5.3
2.1x - 5.5y = -0.2
Solving the system of equations using the linear combination method
[tex]\begin{bmatrix}-2.1x+4y=5.3\\ 2.1x-5.5y=-0.2\end{bmatrix}[/tex]
adding the equations
[tex]2.1x-5.5y=-0.2[/tex]
[tex]+[/tex]
[tex]\underline{-2.1x+4y=5.3}[/tex]
[tex]-1.5y=5.1[/tex]
solving -1.5y = 5.1 for y
[tex]-1.5y=5.1[/tex]
Divide both sides by -1.5
[tex]\frac{-1.5y}{-1.5}=\frac{5.1}{-1.5}[/tex]
[tex]y=-3.4[/tex]
substitute y = -3.4 in 2.1x - 5.5y = -0.2
2.1x - 5.5y = -0.2
2.1x - 5.5(-3.4) = -0.2
2.1x + 18.7 = -0.2
2.1x = -0.2-18.7
2.1x = -18.9
Divide both sides by 2.1
[tex]\:\frac{2.1x}{2.1x}\:\:=\:\:\frac{-18.9}{2.1}[/tex]
[tex]x = -9[/tex]
Therefore, the solution to the system of equations is:
[tex]x = -9[/tex], [tex]y=-3.4[/tex]
HELPPPP!!!! ASAPPPPPPP!!!!
The elimination method is used in place over substitution when one equation is not easily solved for ______________ variable.
a single
an independent
a standard
a dependent
I really hope I get it right but "a single" sounds more right
Answer:
a single
Step-by-step explanation:
when one equation is not easily solved for a single variable
Plz solve at least one of the questions will mark brainliest
Answer:
The 6x6 cube is 1/4 the area of the 12x12 cube.
100%=$1,636,364 (Rounded to the dollar)
Step-by-step explanation:
6x6=36
12x12=144
36/144=1/4
_____________________
20%=?
25%=?
Remainder (55%=$900,000) so:
100%=$900,000/.55
100%=$1,636,364
please help me i'm DESPERATE!!
Per Article IV, Section 5 of the Florida state constitution, candidates for state governor must have been a resident of the state of Florida for at least seven years and be at least how many years old?
Which system of equations is equivalent to the following system?
2x + 4y = 14
4x + y = 20
A.) 2x + 4y = 14
-16x - 4y = -80
B.) 2x + 4y = 14
-4x + y = -20
C.) 4x + 8y = -28
4x + y = 20
D.) 0-2x - 4y = 14
4x + y = 20
Answer:
A
Step-by-step explanation:
Given :
2x + 4y = 14 ---------- eq 1
4x + y = 20 ---------- eq 2
if you multiply eq 2 by -4 on both sides, you get
-4 (4x + y = 20) = -4 (20)
-16x -4y = -80 --------- eq3
we can see that eq. 1 and eq 2 together forms the system of equations presented in option A, Hence A is equvalent to the orginal system of equations given in the question.
The system of equations which is equivalent to the [tex]2x + 4y = 14[/tex],[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
What is system of equations?System of equations comprises of two or more equations and seeks common solutions to the equations.
We have,
[tex]2x + 4y = 14[/tex] [tex]........(i)[/tex]
[tex]4x + y = 20[/tex] [tex]........(ii)[/tex]
Now,
To check that which option suits best for system of equation,
Lets multiply equation [tex](ii)[/tex] by [tex](-4)[/tex],
[tex](-4) (4x + y) = (-4)*(20)[/tex]
[tex]-16x-4y=-80[/tex],
So, this above obtained equation is in option [tex](A)[/tex].
Hence, we can say that the system of equations which is equivalent to the [tex]2x + 4y = 14[/tex] ,[tex]4x + y = 20[/tex] is given in option [tex](A)[/tex] i.e. [tex]2x + 4y = 14[/tex] and [tex]-16x - 4y = -80[/tex].
To know more about system of equations click here
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15 cm
1
12 cm
Work out the area of the triangle.
Answer:
30cm^2
Step-by-step explanation:
area of triangle- 1/2xAxB
1/2(5x12)
0.5x60=30
A bottle contains 2/6 liters of soda. Ann has 12 of these bottles.
How much soda does she have in all? write in simplest form
Answer:
4 liters
Step-by-step explanation:
simplify 2/6 = 1/3
Multiply 1/3 times the 12 bottles
1/3 * 12
12/3
Simplify
4
Answer:
4 liters of soda.
Step-by-step explanation:
2/6⋅12=24/6
24/6=4
Therefore, your answer is 4 liters.
Myka bought a shirt that was originally priced at $40 and on sale for $34. What was the percent discount?
y is directly proportional to x 2 . If y = 8 when x = 2 find y when x = 3
Someone help will give you 5star and brainliest
Answer:
We know that if
y ∝ x²
∴ y = k · x²
Now
y = 8 , x = 4
From above y = k · x²
⇒ 8 = k · 4²
∴ k = 1/2
Again ....
x = 5 , y = ?
y = k·x²
y = 1/2 × 5²
= 25/2 = 12.5
Step-by-step explanation:
1 1/4 divided by 2/3
Answer:
1.875
Step-by-step explanation:
Answer:
15/8 simplified = 1 7/8
Step-by-step explanation:
an easier way to divide fractions is to convert all into a improper fraction like this 1 1/4 > 1x4+1= 5/4 since 2/3 isnt mixed keep it ok so now you have 5/4 divided by 2/3 next you take the fraction on the right and flip then multiply it to get 5/4 x 3/2 then you multiply across to get 15/8 then change that to a mixed number by dividing 15 by 8 to get 1 with a remainder of 7 so 1 7/8 is your answer
hope this helps you in the future have a blessed day!
Determine whether the ordered pair is a solution of y=4x+3 (0,3)
Answer:
yes it is 3=4x0 +3
Step-by-step explanation:
please help ill give branliest!!!!!!!!!!! :(
Answer:
The answer is C if i get it wrong then who ever gave you that is oof
Step-by-step explanation:
Hell me please 1 isnt right
Step-by-step explanation:
I got this much.....
I am sorry of it gets wrong
Answer:
2,040
Step-by-step explanation:
That's what the calculator said (￣▽￣)"
Tim's house has a taxable value of $ 149 , 000 . Tim's property tax rate is 0.28 % . How much will Tim have to pay in property taxes?
Answer:
$41,720
Step-by-step explanation:
Suppose that 32% of people have a dog, 28% of people have a cat, and 23% of people own both.
What is the probability that someone owns a dog or a cat?
Answer:
37%
Step-by-step explanation:
Use the general addition rule for any two events:
(32 + 28) - 23
60 - 23
= 37
So, the probability that someone has a dog or cat is 37%
Answer:
37%
Step-by-step explanation:
32 + 28 = 60
60 - 23 = 37
What is the value of x?
a. 2 /29
b. 3 /61
c. 2/ 101
d. 2/333
Answer:
2√133
Step-by-step explanation:
a²+b²=c²
8²+12²=c²
c²=208
208+18²=532
√532=23
Which represents the area of the shaded region? a Area of circle - area of the square - area of a triangle b Area of a triangle-Area of the square + Area of a circle c Area of a triangle + Area of the square + Area of the circle d Area of the circle - Area of the triangle + Area of the square
Answer:
D: area of the circle-area of the triangle+ area of the square
Step-by-step explanation:
good luck!
Answer:
d
Step-by-step explanation:
Ben is n years old.
Chloe is twice as old as Ben.
Dan is five years younger than Ben.
The total of Ben’s age, Chloe’s age and Dan’s age is T years.
(a) Find a formula for T in terms of n.
Answer:
T = 4x - 5
Step-by-step explanation:
Let x = Ben's age
2x = Chloe's age
x - 5 = Dan's age
Combine all the terms and simplify to form an equation.
T = 2x + x + x -5
T = 4x - 5
Express (x+7)^2(x+7)^2 as a trinomial in standard form.
Answer:
Answer: x^2 +14x+49
Step-by-step explanation:
Three numbers are in the ratio 3:4:5. If the smallest is 2x−7, what is the product of the two other numbers?
Answer:
The product is;
(80x^2-560x+ 980)/9
Step-by-step explanation:
Here, we want to get the product of the two smaller numbers
let the mid number be y
3/4 = 2x-7/y
3y = 8x-28
y = (8x-28)/3
Let the biggest be z
3/5 = 2x-7/z
3z = 10x -35
z = (10x-35)/3
The product of the two other numbers is thus;
(10x-35)/3 * (8x-28)/3
= (10x-35)(8x-28)/9
(80x^2-280x - 280x + 980)9
= (80x^2 - 560x + 980)/9
Select all that are correct:
___· ___ = (-48)
6 and 8
6 and -8
-6 and 8
-6 and -8
none of the above
Answer:
6 and -8
-6 and 8
Step-by-step explanation:
___· ___ = (-48)
Is the same as:
___· ___ = -48
A positive number multiplied by a negative number has a negative product.
P * N = N
Two positive numbers and two negative numbers have a positive product.
P * P = P
N * N = P
6 and -8 and -6 and 8 would be the correct answers. Again, a positive and a negative number will have a negative product.
6 * -8 = -48
-6 * 8 = -48
Hope this helps.
Of the students at Milton Middle School, 88 are girls. If 40% of the students are girls, how many total students are there at Milton Middle school?
Answer:
220
Step-by-step explanation:
To find these types of answers use a calculator my friend. 'Tis so easy, just do
*88/.4 = 220
*must divide to multiply and 44% = .44 =)
Find the equation of a line that is perpendicular to line g that contains (P, Q). coordinate plane with line g that passes through the points negative 2 comma 6 and negative 3 comma 2
Answer:A
Step-by-step explanation:I took the test already trust me
What is the volume of a cylinder with a radius of 9 inches and a heights of 2 inches? Use3.14 for pi. Round your answer to the nearest hundredth
Answer: 508.68 inches
Step-by-step explanation:
The volume of a cylinder is written as:
= πr²h
where,
π = 3.14
r = 9
h = 2
Volume = πr²h
= 3.14 × (9²) × 2
= 3.14 × 81 × 2
= 508.68
Given m|n, find the value of x and y.
We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
Which of the following is a true statement about the equation...?
y = -x + 10
A.The graph of the equation for would pass through the origin.
B. The slope is 10
C. The slope is -7/8
D. The equation represents a proportional relationship.
The correct answer is -7/8
I used a calculator
long rationalise surds questions
pls help
Answer:
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
Step-by-step explanation:
Noah had to rationalize the denominator of [tex]\frac{32}{5-\sqrt{7}}[/tex]
According to him,
[tex]\frac{32}{5-\sqrt{7} = \frac{32(5+\sqrt{7}{(5-\sqrt{7})(5+\sqrt{7}[/tex]
Solving the nominator and denominator
[tex]= \frac{160-32\sqrt{7}}{25+5\sqrt{7}-5\sqrt{7}-7}[/tex]
Noah did correctly till this point.
In the next step he add 25 and 7 in the denominator, whereas, it should be subtracted.
Hence,
Noah mistakenly added 25 and 7 in denominator instead of subtracting in the third step.
The height above the ground of a calculator dropped off a desk can be represented as a quadratic function. The calculator reached 2.84 feet after 0.1 seconds, 2.36 feet after 0.2 seconds, and 1.56 feet after 0.3 seconds. Use quadratic regression to write a model representing the height of the calculator above the ground during its fall.
Answer:
The answer is B
Step-by-step explanation:
Solve u2 =81 , where u is a real number show steps
Can someone please be a hero and help me on this please.
Answer:
The answer is C
Step-by-step explanation:
