Step-by-step explanation:
Hey, there!!
To solve this type of equation it is very easy from elimination method,
Firsty, you try to search if there is opposite sign of same variables or not in both equation. Then find their LCM to make easy to cancel.And thirdly add or subtract the terms to get value of one variable. Then substitute the value of one variable to get value of another variable.Here, the given equation are,
-9x+10y = -18..........(i)
3x-y = 6....................(ii)
Let's take LCM to solve for x.
To solve for "x" we must cancel "y".
LCM= 10 { lcm of 1 and 10 is 1}
So, let's multiply equation (ii) by 10 and add them.
Then,
-9x + 10y = -18
30x - 10y = 60
21x = 42 { as +10y and -10y gets cancelled}
[tex]x = \frac{42}{21} [/tex]
Therefore, x= 2.
Substituting the value of x in equation (i)
-9x + 10y = -18
-9 × 2 +10y = -18
-18 + 10y = -18
or, 10y = -18 +18
Therefore, y= 0.
So, the value of x is 2 and y is 0.
Hope it helps...
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
Jenifer is 1 year older than twice Zack's age. Write an expression that repersents Jenifer's age in relation to zack.
Answer:
j = 2z + 1
jennifer is one year older or jennifer is plus one.
twice zacks age or two times zacks age.
jennifer's age is two times zacks age plus one or
j = 2z + 1
Does anybody know this???
Answer:
angle congruent to a given angle.
Step-by-step explanation:
This is the construction of an angle congruent to a given angle.
Simplify:
1. 3(5 + 2) -8 + 2(3) =
Answer:
19 is correct answer
Step 1:
3(5 + 2) -8 + 2(3)
Step 2:
15+6-8+6
Step 3:
27-8
Step 4:
19
hope it helped you:)
When should you use the distributive property?
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.
Evaluate 4−2f when f=1
Answer:
2
Step-by-step explanation:
f=1
=4-2f
=4-2(1)
=4-2
=2
Hope this helps ;) ❤❤❤
Answer:
2Step-by-step explanation:
[tex]4-2f\\\\f =1\\4-2(1)\\=4-2\\= 2[/tex]
PLEASE HELP ME!!! ill put brainliest 7
Answer:
The answer is A, 19/49
Step-by-step explanation:
normally you would do the equation as usual, but if you notice the words (without replacing the first) then that means there will be 24 marbles left.
that means it can't be B C or D because 24 can't be simplified into the denominators 5, 20, or 15
In the set, (1,4), (3,5) and (-1, 2), what is the range?
{2, 4, 5)
0_{1, 4, 3, 5, -1, 2}
O {1,3)
{-1, 1, 3}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: , \: 4 \: , \: 5 \: }}}}}[/tex]
Step-by-step explanation:
Given,
{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }
To find : Range
Range are the set of all y - co-ordinates .
So,
Answer : { 2 , 4 , 5 }
Hope I helped!
Best regards!
solve for x 1/4(4x-1)=-1/7-5/7
Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]
Find the midpoint of the segment with the given endpoints
(-8,-9) and (-3,-1)
Please help me
Answer:
Step-by-step explanation:
(-8 + (-3))/2= -11/2 = -5.5
(-9+(-1))/2= -10/2 = -5
(-5.5, -5): midpoint
What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive property,inverse property of mulplication,commutative property of addition
Answer:
Addition Property of Equality.
Inverse property of multiplication.
Step-by-step explanation:
Given the equation:
[tex]7y-15=-29[/tex]
First of all, let us use Addition Property of Equality.
According to the property, if we add a number on both sides of an equality, there is no change in the equality.
In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.
First of all, let us add 15 on both sides of the equality:
[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]
Now, let us Inverse property of multiplication.
i.e. Multiplication of a number with its inverse is equal to 1.
[tex]a\times \frac{1}{a} = 1[/tex]
So, let us multiply the given equation with [tex]\frac{1}7[/tex]
[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]
The properties used are:
Addition Property of Equality.
Inverse property of multiplication.
True or False? The number 0.8 can be written as 8/10, so it is an irrational number
Which of the following is an example of a permutation?
Permutation
Step-by-step explanation:
Permutation is an example of the mathematics in which item are arranged in different way.For example ABC, ACB, BCA, CBA, CAB, BAC etc. The order of an arrangement are different in each alphabet. The product of number also be defined as in the form of n to 1 for example : 5*4*3*2*1 = 120Learn more: permutation
https://brainly.in/question/17438663a²b-b² if a and=b-7
The distance from the earth to the sun is approximately 59.25 10miles from Earth. The Distance from the earth to the moon is 52.4 10What is the maximum distance from the moon to the sun?
Answer:
The answer is:
The Moon, on average, is about 150 million kilometers away from the Sun.
Write the phrase as an expression.
the difference of a number t and 9
Answer:
[tex] t - 9 [/tex]
Step-by-step explanation:
Given that t represents a number which is unknown to us, the difference of the number and 9 can be expressed algebraically as:
[tex] t - 9 [/tex].
The difference of t and 9 = [tex] t - 9 [/tex].
Point Coordinate
A 0.31
B 0.33
C 0.38
D 0.29
Which number line shows the correct placement of the points in the table above?
A
B
C
D
Step 1:
First, let's order the number from least to greatest.
A. -0.31
B. -0.33
C. -0.38
D. -0.29
We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.
C. -0.38
B. -0.33
A. -0.31
D. -0.29
Step 2:
Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.
Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29
Our answer: Line A
Answer:
B: -0.3
Step-by-step explanation:
Identify the polynomial 4x3 + 6x2
52
A monomial
B binomial
C trinomial
D quadrinomial
Answer:
4 x 3 + 6 x 2 has 4 terms so it's an quadrinomial
Step-by-step explanation:
D quadrinomial
What is the volume of this rectangular prism 2/3,5,6
Answer:
The volume of the rectangular prism is 20.
what’s equivalent to 9m?
please help asap!!!
m-9
9/m
9+m
(9)(m)
Answer:
(9)(m)
Step By Step Explanation:
9m is multiplying. So you need to find the one that deals with multiplication.
m-9 is subtraction
9/m is division
9+m is addition
(9)(m) is multiplication
Hope this helps :)
i need some help thanks!
Answer:
1. square root 9/4
2. 5/3
3. square root 5
4. 2.5
Step-by-step explanation:
The first one would equal 1.5.
The second is 1.6.
The third is 2.2.
And obviously the last is 2.5.
What is the equation of a vertical line passing through (-5, -2)?
O y = -2
O x = -5
O y = -3
O x = -7
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
Find the point-slope equation for
the line that passes through the
points (1,-9) and (-10, 101). Use
the first point in your equation.
y + 9 = [ ? ](x-[ ])
Answer:
Below in bold.
Step-by-step explanation:
The slope of the line = (101 - -9) / (-10 - 1)
= 110/ -11
= -10
The required equation is y + 9 = -10(x - 1)
100 gives
PRT
The simple interest formula I
the interest I on a principal P invested at a
rate of R% per annum for T years.
a Find the interest when N150 000 is
invested at 5% per annum for 4 years.
b Find the principal that gains an interest of
N16100 in 5 years at 7% per annum.
Answer:
Step-by-step explanation:
a) P = N 150000
R = 5%
T = 5 years
Plug in the values P,R & T in the formula
I = PRT
[tex]I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\[/tex]
I = N 30000
b) I = N 16100
R = 7%
T = 5 years
[tex]PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}[/tex]
P= N 46000
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}[/tex]
Step-by-step explanation:
a. Given,
Principal ( P ) = N 150000
Rate ( R ) = 5 %
Time ( T ) = 4 years
Interest ( I ) = ?
Finding the Interest ( I )
[tex] \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}[/tex]
⇒[tex] \sf{interest = \frac{150000 \times 4 \times 5}{100} }[/tex]
⇒[tex] \sf{interest = \frac{3000000}{100}} [/tex]
⇒[tex] \sf{interest = N \: 30000}[/tex]
Interest = N 30000
------------------------------------------------------------
b. Given,
Interest ( I ) = N 16100
Time ( T ) = 5 years
Rate ( R ) = 7 %
Principal ( P ) = ?
Finding the principal
[tex] \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} [/tex]
⇒[tex] \sf{ \frac{16100 \times 100}{5 \times 7} }[/tex]
⇒[tex] \sf{ \frac{1610000}{35} }[/tex]
⇒N [tex] \sf{46000}[/tex]
Principal = N 46000
Hope I helped!
Best regards!!
The sum of three consecutive integers is 168. What are the integer?
Answer:
Step-by-step explanation:
Hello, let's note n this integer.
n+ (n+1) + (n+2) = 168
3n+3=168
3(n+1)=168
n+1=168/3=56
n = 56-1=55
Thanks
*11. Find the value of the expression (-1)+2+(-3) + 4 + ... + (-99) + 100.
Solution
50
Step-by-step explanation:(-1) + 2 + (-3) + 4 + ... + (-99) + 100 =
= 2 - 1 + 4 - 3 + .. + 100 - 99
= 1 + 1 + .. + 1
= 50×1
= 50
Answer:
50.
Step-by-step explanation:
Each pair of numbers add up to 1:
-1 + 2 = 1, -3 + 4 = 1 and so on
There are 50 of theses pairs so the value is 50.
Which figure represents an undefined term?
Answer: 4th figure , where XY is a line.
Step-by-step explanation:
There are 3 undefined terms : 1) point 2) line 3 ) planeFrom up to down, The first figure is representing ray( end point at X ) which is an defined term and it is defined as "A ray is a line with one end point."
The second figure is representing a line segment with 2 end-points at X and Y and it is and defined term and it is defined as "A line segment is a line with 2 end points."
The third figure is a joint of two rays and they are making an angle which is again an defined term.
The last figure is representing a line which has no endpoints and is an undefined term.
Hence, the last figure is representing an undefined term "line".
1,872 words in 26 minutes. Find the unit rate.
Answer:
72 words per minute
Step-by-step explanation:
The unit rate in this case is words per minute. Therefore, the answer is 1872 / 26 = 72 words per minute.
Solve the equation for X.
4+2(x-4)=-7(x+7)
x=5.9
x=-5
x=5
x=-7.4
Answer:
x = -5
Step-by-step explanation:
4 + 2(x - 4)= -7(x + 7)
4 + 2x - 8 = -7x - 49
2x - 4 = -7x - 49
2x + 7x = -49 + 4
9x = -45
x = -45/9
x = -5
Jenna subscribes to a music service that allows her to pay a discounted price per song as long as she pays a membership fee. This is modeled by the expression .99x + 10. What does x represent?
Answer:
x is the song. she has to pay 99 cents per song.