Answers
Answer:
Step-by-step explanation:
1) y = 2x ----------(I)
x + y = 6 -----------(II)
Plug in y =2x in equation (II)
x + 2x = 6 {Add like terms}
3x = 6
x = 6/3
x = 2
Plugin x = 2 in (I)
y = 2*2
y = 4
Check:
LHS = x +y
= 2 + 4
= 6 = RHS
2)5x + 10y = 3 ------------(I)
x = (-1/2) y ------------(II)
Substitute x = (-1/2)y in (I)
[tex]5*\frac{-1}{2}y + 10y = 3\\\\\frac{-5}{2}y+ \frac{10*2}{1*2}y = 3\\\\\frac{-5}{2}y+\frac{20}{2}y=3\\\\\frac{-5+20}{2}y = 3\\\\\frac{15}{2}y=3\\\\ y = 3*\frac{2}{15}\\\\ y = \frac{2}{5}[/tex]
Substitute y = (2/5) in equation (II)
[tex]x = \frac{-1}{2}*\frac{2}{5}\\\\x = \frac{-1}{5}[/tex]
Check:
Substitute x and y value in equation (I)
[tex]LHS = 5*\frac{-1}{5}+10*\frac{2}{5}\\\\ = -1 + 2*2\\\\ = -1 + 4\\ = 3 = RHS[/tex]
3) y - x = 3x + 2
y = 3x + 2 + x
y = 4x + 2 ---------------(I)
2x + 2y = 14 - y
2x + 2y +y = 14
2x + 3y = 14 ------------------(II)
Substitute y = 4x + 2 in equation (II)
2x + 3(4x +2) = 14
2x + 3*4x + 3*2 = 14
2x + 12x + 6 = 14
14x + 6 = 14
14x = 14 - 6
14x = 8
x = 8/14
x = 4/7
Substitute 'x' value in (I)
[tex]y = 4*\frac{4}{7} +2\\\\y = \frac{16}{7}+2\\\\y= \frac{16}{7}+\frac{2*7}{1*7}\\\\y=\frac{16}{7}+\frac{14}{7}\\\\y=\frac{30}{7}[/tex]
Check:
[tex]LHS = 2x + 3y\\\\ = 2*\frac{4}{7}+3*\frac{30}{7}\\\\ = \frac{8}{7}+\frac{90}{7}\\\\=\frac{8+90}{7}\\\\=\frac{98}{7}\\\\=14 = RHS[/tex]
Related Questions
the ratio of boys to girls in a class is 3:5. how many girls if there are 27 boys
Answers
Answer:
45 girls
Step-by-step explanation:
since the ratio is 3:5, 3 being the boys, we can divide 27 by 3. We get nine, which is the number we multiply 5 with. 9*5=45 girls
a number. n, plus 10 is less than 34
Answers
Answer:
N+10<34
Step-by-step explanation:
I think that's the answer if it's asking you to write an equation.
I need help someone help me
Answers
Answer:
Hey! So I think the answer is A! I'm so sorry if its wrong, I'm trying to get points so could you mark me as brainliest? Bye and stay safe!! <3
Step-by-step explanation:
The swim team manager needs to purchase award ribbons for competitions. The table shows the sizes of packages he can purchase.
For a package of 500 ribbons, what is the cost per ribbon?
A.
$0.15
B.
$0.21
C.
$0.67
D.
$0.07
Answers
A triangle has a base of 15 feet and a height of 9 feet. What is the area of the triangle? Label the figure. Write the formula, plug in the values, and solve.
Answers
Answer:
135...................
Fill in the missing values
in the table below:
Answers
Based on the information the values in the table will be:
20 35
4. 7
15. 21
What's proportion?In mathematics, proportions refer to the equality of two ratios. A ratio is a comparison of two quantities, typically expressed as a fraction. When two ratios are equal to each other, they form a proportion.
A proportion can be written in the form:
a/b = c/d
Here, "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio. The proportions state that the ratio of "a" to "b" is equal to the ratio of "c" to "d".
20/35 × 7
= 4
Learn more about proportion
https://brainly.com/question/1496357
#SPJ6
Remy walked to a friend’s house m miles away at an average rate of 4 mph. The m-mile walk home was at only 3 mph, however. Express as a fraction
a) Time Remy spent walking home.
b)Time Remy spent walking.
Answers
Answer:
sorry if im rong b
Step-by-step explanation:
Using the substitution method, Vito is solving the following system of equations algebraically:
y + 3x =-4
2x – 3y =-21
Which equivalent equation could Vito use?
A) 2(-3x - 4) + 3x =- 21
B) 2(3x - 4) + 3x =- 21
C) 2x - 3(-3x – 4) =- 21
D) 2x - 3(3x - 4) =- 21
Answers
Answer:
The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]
Step-by-step explanation:
The given equations are:
[tex]y + 3x =-4\ \ \ Eqn\ 1\\2x-3y =-21\ \ \ Eqn\ 2[/tex]
The equations have to be solved using substitution method. In substitution method we find the value of a variable from one equation and put it in the other equation.
To find the value, we usually choose the equation in which a variable without any coefficient is available.
From equation 1
[tex]y +3x = -4\\y = -3x-4\\[/tex]
This value of y will be put in equation 2
[tex]2x-3(-3x-4)=-21[/tex]
It is the C option in choices
Hence,
The correct answer is Option C: [tex]2x-3(-3x-4)=-21[/tex]
Answer:
Hey, where did you get this question? Do you have answer key of this worksheets all things I need it to.
Step-by-step explanation:
What is 30 percent off of 70?
Please explain why and how
Answers
Answer:
49
Step-by-step explanation:
10% of 70 is 7
multiply that by 3 = 21
70 - 21 = 49
I need help please- I’ll give BRAINLIEST for the right answer?
Answers
Answer:
c = 29
Step-by-step explanation
heeyyyy I know this question was posted a long time ago, but uhhhhhh I felt like answering anyways sooooooo
Ok, so since the angle across from b is 97˚, that means b is 97˚ as well.
So then we have 54 + 97 + c = 180
151 + c = 180
c = 29
Kites have at least one pair of congruent opposite angles. Plsss helpp
Answers
Answer:
I mean you could have looked it up but, here is the answer...
Step-by-step explanation:
If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. If a quadrilateral is a kite, then one of the diagonals bisects the pair of non-congruent angles.
Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.
What are the properties of Kite shapes?
A kite is a closed shape quadrilateral which have 4 sides. In this 4 sides, the two pair of adjacent sides are equal.
Properties of kite shapes are listed below-
Two pairs of adjacent sides are equal in a kite shape.The kite has a pair of opposite angles which are equal.The long diagonal bisect the short one.Both the diagonals of the kite is perpendicular to each other.As, the kites has a pair of opposite angles which are equal.
Thus, Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.
Learn more about the kite shape here;
https://brainly.com/question/4747456
Please help for brainliest
Answers
Answer:
I think it is C.
Step-by-step explanation:
Please mark brainliest I am knew at this
can you guys please help.
Answers
Answer:
The saturday median is equal to the sunday median.
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
It is known that the distance in metres through which a body falls freely varies directly as the square of the time taken. If a body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.
Answers
Answer:
125 meters
Step-by-step explanation:
Let distance = d and time is t
Using the variation;
d = k t^2
So let’s us get k
80 = k * 4*2
16k = 80
k = 80/16 = 5
So for 5 seconds, the distance would be;
d = 5 * 5^2
d = 125 meters
FIND THE SLOPE 4,0 6,3
Answers
Answer: slope is 3/2
Step-by-step explanation:
Answer:
slope: m = 3/2
Step-by-step explanation:
Give the gradients and the intercepts on the y-axis of the lines with the following equations. Sketch each line.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The gradient is the x-coefficient. The y-intercept is the constant. These are listed in the table in the first attachment. The graphs are shown in the second attachment.
Answer:
9514 1404 393
Step-by-step explanation:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeee pokimain soo howt :)
Find an equivalent ratio in simplest terms:
54 : 70
Answers
Answer:
27/35.
I can break it down for you to understand if u want.
Step-by-step explanation:
Answer:
27/35
Step-by-step explanation:
In 2000, a population
of a city is one million
people. If it has a
doubling time of 25
years, when will its
population reach two
million?
Answers
Answer:
2025
Step-by-step explanation:
Given a starting date of 2000 with an initial population of 1 million.
If it takes 25 years for the population to double, then the population will be 2 million in 2025.
Because 2000 + 25 = 2025.
In a right triangle, if the length of one leg is 3 cm and the length of the other leg is 4 cm, what is the length of the hypotenuse?
A. 5 cm
B. 3 cm
C. 4 cm
D. 35 cm
Answers
Answer: 5 cm
Step-by-step explanation:
9 + 16 = c^225 = c^2[tex]\sqrt{25[/tex] = c5 = cAnswer:
5
Step-by-step explanation:
Simplify this fraction:
35 56
Answers
Answer:
5/8
Step-by-step explanation:
Answer:
5/8
Step-by-step explanation:
HOPE THIS HELPS!!!
what is COP in mathematics
Answers
Answer:
Coefficient of Performance
Help pleaseee I need to answer this!!!
Answers
Answer:
a is your answer
Step-by-step explanation:
;)
The area, A, of a triangle is one-half the product of the triangle's base and height. A = A = (12)(5) A = ( b+ h) A = A = (b·h)
Answers
Answer:
A = (1/2) * b * h
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.
The area of a triangle is half the product of the base of the triangle and the triangle height. The area is given by the formula:
A = (1/2) * b * h
A = (1/2)bh = 0.5bh
Where A is the area of the triangle, b is the bae of the triangle and h is the height of the triangle.
which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x
Answers
Answer:
6x +15
Step-by-step explanation:
The number of snowboarding accidents reported weekly during one winter season at the Fun
Mountain Resort:
12, 15, 6, 8, 12, 17, 10, 8, 7, 13, 14, 16, 8, 18, 11
Whats the mean?
Answers
Answer:
11.7
Step-by-step explanation:
add all the numbers then divide the answer with the number of how many numbers they are
12 +15+ 6+ 8 +12+17 +10+8+ 7+ 13+ 14 +16 +8+18+11=175
175/15=11.6666666667
round the answer to the nearest whole number=11.7
Click on all the coordinate pairs that are solutions to y =2x^2 + 3x + 1.
A(0,1)
B( 1,0)
D (1,6)
C(2,11)
D(2, 15)
Answers
Answer:
I think it’s A C E
Step-by-step explanation:
Identify the terms in the expression 5x−3x+12
Answers
Answer:
9,8,7,6
Step-by-step explanation:
they are 6,7,8,9 backwards so its the answer
The map shows different locations at a county fair. Each unit of the coordinate plane represerits 1 meter.
Which expression shows how to use the coordinates of the Ferris wheel and ticket booth to find the distance between
them?
A) (-3) - 2
B) 4 - 4
C) 2 - 4
D) 4 - (-3)
Answers
Step-by-step explanation:
answer is a I got it right on the quiz
Answer:
A
Step-by-step explanation:
Which is a composite number? 81,41,71,61
Answers
Answer:
81
hope this helps:)
Which equation has an infinite number of solutions?
O A. 7(1 - 4x) + 3x = 7
B. 5(2 - 4x) + 4x = 10
C. 8(2 - 2x) + 16x = 9
D. 6(3 - 2x) + 12x = 18
Answers
Answer:
b
Step-by-step explanation: