Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
50 POINTS
Consider this equation: 2/3x - 9 - 2x+2=1
Which is an equivalent equation after combining like terms?
O 8/3x - 11 = 1
O -4/3x - 7 = 1
O 8/3x - 7 = 1
O -4/3x - 11 = 1
Answer:
-4/3x-7=1
Step-by-step explanation:
just combine like terms
Write 1.42 as a mixed number in simplest form.
1.42=
The decimal is repeating
Answer:
71/50
Step-by-step explanation:
A youth group went on trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table. Find the adult price and student price of admission
Answer:
Refer to the attachment
Soo :
2a + 3b = 325
2a + 7b = 505 -
-4b = -180
4b = 180
b = 45
[tex] \: [/tex]
2a + 3b = 325
2a + 3(45) = 325
2a + 135 = 325
2a = 325 - 135
2a = 190
a = 95
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 100m, find its length and width.
Answer:
200points
[tex]x6)266(6( \times [/tex]
hatodf jahahshshshshfidba
Simplify the expression
8h+(−7.3d)−14+5d−3.7h.
Please answer! :(
Write YES if each equation below is Linear Equation in two variables, otherwise, NO.
___1. 4x - 2y = 1
___2. 6x² + 4y = 8
___3. m - 1n/2 = -8
___4. 1/y = 5
___5. 2x - 3y + 7 = 0
___6. 2a + 5 = 0
Please explain if possible, thank youu! :)
Linear Equation in two variables?
1. 4x - 2y = 1 ⇒ Yes 2. 6x² + 4y = 8 ⇒ No, the variable x has degree 2, not linear 3. m - 1n/2 = -8 ⇒ Yes 4. 1/y = 5 ⇒ No, one variable 5. 2x - 3y + 7 = 0 ⇒ Yes 6. 2a + 5 = 0 ⇒ No, one variable[tex]at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.[/tex]
at a school of 1050 pupils exactly 4% are absent on a particular day.how many are present.
Pls help me solve this
Answer:
F. Yes, by the SAS Congruence Theorem
Explanation:
In △ABC and △EDC:
BC = CD (given)AC = CE (given)∠ACB = ∠ECD (vertically opposite angles)Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.
△ABC ≅ △EDC
Solve this equation, show all your work:
6(x+1)=-2(3x+9)
Answer:
x=-2
Step-by-step explanation:
6(x+1)=-2(3x+9)
Distribute the 6.
6x+6=-2(3x+9)
Distribute the -2.
6x+6=-6x-18
Move the variable to the left-hand side and change the sign.
6x+6+6x=-18
Collect like terms
12x=-18-6
Calculate the difference.
12x=-24
Divide both sides by 12.
x=-2
Hope this helps :)
What is the perimeter of a regular decagon with sides of 14 inches?
Answer:
140 inches
Step-by-step explanation:
one decagon has 10 sides
14*10= 140
Solve each inequality
-5y-2<8
Answer:
y > -2
Step-by-step explanation:
-5y-2<8
= -5y<8+2
= -5y<10
= y > 10/-5
∴ y > -2
Note: Anytime you multiply or divide both sides of the inequality, you must “flip” or change the direction of the inequality sign.
does anyone know how to view what answers you got correct on a post test for plato/ edmentum? please give detailed instructions
Answer:
Step-by-step explanation:
For Plato just press the + button to add an introduction or whatever.
Five players are given $10 each and asked to contribute any portion of it to a group account. They are also told that the total collection will be doubled and distributed equally among each of them. In this case, the players are likely to contribute __________.
Answer:
nothing
Step-by-step explanation:
6x + 2(5x-6) distributive property
Answer:
16x - 12
Step-by-step explanation:
6x + 2(5x - 6)
then 2 * 5 = 10x
then 2 * (-6) = -12
that will be 10x - 12
then you have 6x + 10x -12
combine the like terms which are 6x and 10x
then 16x - 12
The solution of the equation will be (16x - 12).
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
The expression is given as;
6x + 2(5x - 6)
Now,
Apply distributive property we can solve the equation as;
6x + 2(5x - 6)
6x + 2 × 5x - 2 × 6
6x + 10x - 12
16x - 12
Thus, The solution of the equation will be (16x - 12).
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Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.
9514 1404 393
Answer:
7x +40x = 204x +30 = 110°3x +10 = 70°Step-by-step explanation:
The marked angles are supplementary, so you have ...
(4x +30) +(3x +10) = 180
7x +40 = 180
__
Subtracting 40 gives ...
7x = 140
x = 140/7 . . . . . divide by the coefficient of x
x = 20
__
Then the angle measures are ...
4x +30 = 4·20 +30 = 110°
3x +10 = 3·20 +10 = 70°
identify the like terms of 3x, chose all the apply
3y
5x
3xy
-2x
3
7y
x
Answer:
5x, -2x, and x
Step-by-step explanation:
Like terms share the same variable and powers. This means that the options with 'x' as an variable would be the like terms of 3x.
5x , -2x , and x are like terms because they share the same variable, 'x'.
Hope this helps.
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
Please help I need to find the scale factor for the side lengths!!!
Answer:
The blue thing is 4 times smaller than the big thing.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The image/preimage scale factor can be found by considering the lengths of corresponding sides.
Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4
The scale factor is 1/4.
Mr. Tanaka is loading his boat with many identical 45-pound boxes. Mr. Tanaka weighs 190 pounds. The boat can carry at most 1,000 pounds. If each box is fully-filled, how many boxes can he load on the boat?
Write an inequality that represents this situation.
Answer:
there should be 14, 45 pound boxes
Step-by-step explanation:
1000-190= 810
810/45=14 boxes
if there are 139,799,000 square miles of water on earth what percent is left on earth that is not covered in water
The percentage of earth that is not covered in water is given by the equation A = 29 %
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total area of earth be = 196,900,000 square miles
And , 71% of Earth’s surface is covered in water
So ,
Percentage of earth's surface covered in water = 71 %
And , area of earth covered by water = 139,799,000 square miles
Substituting the values in the equation , we get
So , the remaining percentage of earth not covered in water A = 100 - 71
On simplifying the equation , we get
Remaining percentage of earth not covered in water A = 29 %
The remaining area of earth = 0.29 x 196,900,000
The remaining area of earth = 57,101,000 miles²
Therefore , the value of A is 29 %
Hence , the percentage is 29 %
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Maria and Ming start at the same point and drive in opposite directions. Maria drives 60 mph and Ming drives 48 mph. How far apart will they be in 3 hours?
Answer:
36
Step-by-step explanation:
60x3 = 180
48x3=144
subtract those 2wo numbers ( 180 and 144 ) and you'll get 36
If one of the 255 subjects is randomly selected, find the probability that the person is over 40 and prefers cola.
a) 4/19
b) 4/17
c) 4/51
d) 32/51
Answer:
32/51
Step-by-step explanation:
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
Write an equation of a line
that passes through the
points
(-6,0) and (0,-24).
Answer:
y= -4x-24
Step-by-step explanation:
change in y/change in x = 0- -24/-6-0 = 24/-6 = -4
gradient is -4
then you put a set of coradinates into the formular y-y=m(x-x)
y - 0= -4 (x+6)
y-0=-4x-24
y=-4x-24
Answer:
4x +y = -24
Step-by-step explanation:
The given points are the x- and y-intercepts. It is convenient to write the equation in intercept form:
x/a +y/b = 1 . . . . . . x-intercept 'a', y-intercept 'b'
x/-6 +y/-24 = 1 . . . . . equation in intercept form
4x +y = -24 . . . . . . . equation in standard form (multiply by -24)
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of the coins is $1.50. How many nickels and how many dimes are in the jar?
The jar contains ___nickels and ___ dimes.
10 nickels = $0.50
10 dimes = $1.00
So- 10 nickels + 10 dimes = $1.50
Write the exponential function for the values in the table below.
Answer:
f(x) = [tex]8^{x}[/tex]
Step-by-step explanation:
[tex]\sqrt[3]{512} = 8\\\sqrt[4]{4096} = 8\\\sqrt[5]{32768} = 8[/tex]
which means 8 to the power of 3 will give you 512, to the fourth power will give you 4096.
So the exponential function is f(x) = [tex]8^{x}[/tex]
What is 4 percent of $128.72 ?
Answer:
124.72
Step-by-step explanation:
Answer:
Step-by-step explanation:
4% of 128.72 = 0.04 * 128.72
= 5.1488
(04.04)
Which graph represents a linear function? (4 points)
Group of answer choices
A coordinate plane is shown with a line passing through the x-axis at negative 2 and the y-axis at negative 6.
A coordinate plane is shown with a curved line that starts in the bottom left area of the graph, passing through the point -1 comma -5, curving to pass through the y-axis at 2.5, then curving up again to pass through the point 1 comma 5
A coordinate plane is shown with a parabola graphed in an upward U shape. The bottom of the parabola touches the y-axis at -10 and curves upward on both sides
A coordinate plane is shown with a wavy line that sits on the x-axis and moves across the graph in even up and down waves.
A linear function is one of the most simplest form of functions. As the name "linear" indicates, a linear function is simply a line, more precisely a straight line.
So it is in the form of f(x) = ax + b.
Lets now check the possible answers : (second answer :) "a curved line", not correct.
(third answer:) "a parabola", this is not a straight line, so not correct.
(fourth answer:) "a wavy line", not a straight line, so not correct.
The only correct answer is the first one : a line passing through the x axis at negative 2 and the y axis at negative 6.
Answer correctly and get brainless and 20 points
Answer:
D. x = 12.4
Step-by-step explanation:
A. (2.4) - 5 = 7.4
-2.6 = 7.4
B. (6.9) - 5 = 7.4
1.9 = 7.4
C. (7.9) - 5 = 7.4
2.9 = 7.4
D. (12.4) - 5 = 7.4
7.4 = 7.4
Helppppppppp pleaseeee
Step-by-step explanation:
the first one is:
2 so not th second one
Answer:
Step-by-step explanation: We can solve this in two ways: Solve the equations directly, or graph the lines and find the point they intersect (which will be the only point at which they are equal.
Solve The Equations:
y = 2x+9
y = -x-3
Set them equal to each other (to find x such that both equations will return the same value for y).
-x-3 = 2x + 9
-3x = 12
x = -4
Use x=-4 in either equation to find y:
y = -x-3
y = -(-4)-3
y = 1
===
The point is (-4,1). That is the point that satisfies both equations:
1) y = 2x+9
y = 2(-4)+9
y = 1, and
2) y = -x-3
y = -(-4)-3
y = 1
=====
We can also solve by graphing and finding the point at which the two lines intersect. A graph is attached.