[tex]2x+5y= 4~~~...(i)\\\\2x-2y = 18~~~...(ii)\\\\(ii) -(i):\\\\~~~~~2x-2y -2x -5y= 18 -4\\\\\implies -7y = 14\\\\\implies y = -\dfrac{14}7\\\\\implies y= -2\\\\\text{Substitute}~ y=-2~ \text{ in eq (i):}\\\\~~~~~~2x+5(-2) = 4\\\\\implies 2x-10 = 4\\\\\implies 2x = 10+4\\\\\implies 2x =14\\\\\implies x = \dfrac{14}2\\\\\implies x =7\\\\\text{Hence}~ (x,y) =(7,-2).[/tex]
Answer:
y = -2
x = 7
Step-by-step explanation:
Solving simultaneous equation
2x + 5y = 4 ---------------(I)
2x - 2y = 18 -----------(II)
Now, multiply equation (II) by (-1) and then add the equations. So that, 'x' will be eliminated and we can find the value of 'y'
(I) 2x + 5y = 4
(II)*(-1) -2x + 2y = - 18 {Now add}
7y = -14
y = -14/7 {on dividing both sides by 7}
[tex]\sf \boxed{y= -2}[/tex]
Now plugin y = -2 in equation (I)
2x + 5*(-2) = 4
2x - 10 = 4
2x = 4 + 10 {on adding 10 to both sides}
2x = 14
x = 14/2 {Divide both sides by 2}
[tex]\sf \boxed{x = 7}[/tex]
Two equations are given below: m 4n = 8 m = n − 2 what is the solution to the set of equations in the form (m, n)? (4, 6) (2, 4) (0, 2) (6, 8)
System of equations are equations that is more than one and have two or more unknowns. The solution to the given system of equation is expressed as (0, 2)
System of equationsSystem of equations are equations that is more than one and have two or more unknowns.
Given the simultaneous equation
m + 4n = 8
m = n - 2
Substitute equation 2 into 1 to have:
n - 2 + 4n = 8
5n - 2 = 8
5n = 10
n = 2
Recall that m = n - 2
m = 2 - 2
m = 0
Hence the solution to the given system of equation is expressed as (0, 2)
Learn more on system of equation here: https://brainly.com/question/25976025
Write an equation of the line with the given slope and y-intercept:
m = negative 5, b = 4
a.
y = negative 5 x + 4
b.
y = 5 x + 4
c.
y = negative 5 x minus 4
d.
y = 5 x minus 4
Answer:
y = negative 5 x + 4
Step-by-step explanation:
Hope it helps you in your learning process
Change the subject of the equation v = u + at to a.
In order to make a the subject of this equation , we need to get a by itself .
The current equation is :
v = u + at
Subtract u on both sides :
v-u=at
Now, divide by t on both sides :
v-u/t=a
So the formula looks like ↓[tex]\boxed{\\\begin{minipage}{3cm}Equation \\ a=$\displaystyle\frac{v-u}{t} $ \\ \end{minipage}}[/tex]
hope helpful ~
help me please
help me please
Answer:
1 second
Step-by-step explanation:
[tex]s=-5\\u=0\\v=\\a=-10\\t=t[/tex]
[tex]\begin{aligned}\textsf{Using} \quad s & =ut+\dfrac12at^2\\ \implies -5 & =(0)t+\dfrac12(-10)t^2\\ -5 & = -5t^2\\ t^2& = 1\\ t & = \pm\sqrt{1}\\ t & = 1\: \sf s\end{aligned}[/tex]
A 30% discount is given on the cost of a $420 laptop. How much is the discount
Answer: $126
Step-by-step explanation: 30/100 × 420/1
16. How much did your classmates typically spend on music downloads last year? statistical or not statistical
Answer:
This would be a statistical question.
Step-by-step explanation:
The tax rate is 6.8% what is the tax on $9.95
Answer:
$10.60
Step-by-step explanation:
6.8% = .068
.068 x 9.95
0.64675
since this is money
$.65
$9.95 + $.65
$10.60
Find all real numbers x such that 3x - 4 < 5 and -8x - 19 < 21
Answer:
the numbers are -5 and 3
Step-by-step explanation:
First of all, the question is asking you to find the values of x from the given inequalities.
-8x -19<21 and 3x - 4 < 5
group all liked terms, in other words, make x and its coefficient stand alone.
-8x < 21 + 19 and 3x < 5 + 4
-19 became +19 because it crossed the sign <, also -4 became +4 because it crossed the sign <.
so we get
-8x < 40 and 3x < 9
we divide each "x" by its coefficient
[tex] \frac{ - 8x}{ - 8} < \frac{40}{ - 8} \: and \: \frac{3x}{3} < \frac{9}{3} [/tex]
then we get
x < -5 and x < 3
but x is positive so it's greater than -5 so we get
x > -5 and x < 3
after jill received her paycheck, she put $150.00 into a saving account. she spent $12.49 on a CD, $29.89 on a pair of jeans and $12.95 on dinner. She had $44.67 left. How much was Jill’s paycheck
Answer:
Jill had $250 in her paycheck
Step-by-step explanation:
150+12.49+28.89+12.95
+44.67=249 technically not 250 but its the closest answer.
camila is 4 years younger then her brother when camila was 7 how old was her brother
Answer:
He was 11
Step-by-step explanation:
if Camila was 4 years younger than her brother and she was seven. That means he is 4 years older than her. so 7+4=11
State translation,reflection or rotation
(x, y) ——-> (x + 9, y + 2)
Answer:
Translation
Step-by-step explanation:
Translation as the x and y are both being moved over the plane.
What is the area of the figure?
A figure can be broken into a rectangle and triangle. The rectangle has a base of 5 feet and height of one-third feet. The triangle has a base of 3 and two-thirds feet and height of 2 feet.
5One-third ft2
6 and two-thirds ft2
7 ft2
9 ft2
Answer:
Given a figure that is broken into a rectangle and triangle.
The dimensions of the rectangle are:
Base : 5 ft
Height : 1/3 ft
The dimensions of the triangle are :
Base : 3 upon 2/3 ft
Height : 2 ft
The area of the figure calculated below :-
Area of rectangle + Area of triangle
Area of rectangle + Area of triangleLB + 1/2BH
(5×1/3) + (1/3+3upon2/3×2)
The result is simplified below :-
5/3+11/3
5+11/3
16/3 ft
51/3 ft square.
The area of the figure is 5 and one third square feet.
Answer:
5 1/3
Step-by-step explanation:
help me add the location for each point of a b and c
A = -4
B = -1
C = 3
hope this helped!
7. Claire has a $60 gift card. She uses the
whole value of the card to buy 4 copies
of the same book to give as gifts. How
much does each book cost?
Answer:
$15
Step-by-step explanation:
60/4 = 15
A solid box with height 20cm, width 10cm and length 80cm needs to be painted.
The paint costs £0.16 per cm2.
How much will it cost to paint the outside of the box?
Answer: is 832cm
Step-by-step explanation:
Anthony is planning a trip, using
a map with a scale of 1 cm to
15 miles. If the destination is
15 cm away on the map, how far
away, in miles, is the destination?
[?] miles
Answer:
225 miles
Step-by-step explanation:
(15)(15)=225
Hope this helps
Question 16 of 25
What is the inverse of the function below?
fx) = x - 4
O A. f-1(x) = x- 4
O B. f- (x) =-X+4
O c. f-1(x) = x+4
O D. f-1(x) = -x- 4
The inverse of the function is f ( x )⁻¹ = x + 4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x - 4 be equation (1)
On simplifying , we get
The inverse of the function is given by replacing x with y
So , the value of the function is
y = x - 4
x = y + 4
On interchanging , we get
f ( x )⁻¹ = x + 4
Hence , the inverse is f ( x )⁻¹ = x + 4
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ7
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.
The interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds.
The interval of times that represents the middle 68% of his finishing times in the 400 meter race is,
[tex]P(75 - 0.5 < X < 75 + 0.5) = 68\%\\P(74.5 < X < 75.5) = 68\%[/tex]
Thus. the interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
Learn more about empirical rule here:
https://brainly.com/question/13676793
#SPJ1
if the point (-1,-5) is reflected across the x - axis, what is the new location of the point
Answer: ( -1, 5 )
Step-by-step explanation: Reflection across the x axis only flips the sign of the y axis
There is a circle inscribed in an equilateral triangle, and there is another equilateral triangle inscribed in the circle. The ratio of the area of the larger triangle to the smaller triangle is:
Answer:
Assuming that the circle bissects the triangles equal sides at their midpoints, the ratio of the larger to smaller triangle should be close to 1/3
Which is the smallest number that when rounded off to the nearest hundred thousand equals 500
million?
What is the sum of the series (image below)
a. 1,830
b. 2,010
c. 5,400
d. 5,490
Answer:
d. 5490
Step-by-step explanation:
[tex]\begin{aligned}\displaystyle \sf \sum_{n=1}^{60} 3n & =3(1)+3(2)+3(3)+...+3(49)+3(50)\\ & = 3+6+9+...+147+150\end{aligned}[/tex]
Therefore, this is an arithmetic series with:
first term (a) = 3common difference (d) = 3Sum of the first n terms of an arithmetic series:
[tex]S_n=\dfrac12n[2a+(n-1)d][/tex]
Therefore, the sum of the first 60 terms:
[tex]\begin{aligned}S_{60} &=\dfrac12(60)[2(3)+(60-1)3]\\ & =30[6+(59)3]\\ & = 30[6+177]\\ & = 30[183]\\ & = 5490 \end{aligned}[/tex]
Answer:
The answer is D) 5,490.
Step-by-step explanation:
PleASE HELP FAST
no links
Answer:
y=40/183x
Step-by-step explanation:
y = Rise/Run multiplied plus y intercept by x or Y= mx + b
There is no b
m = 40/183
Y = 40/183x
Simplify the radical
Answer:
4 ^3√7m^2
Step-by-step explanation:
^3√64×7m^2
^3√4^3×7m^3
^3√4^3 3^√7m^2
= 4^3√7m^2
Answer:
[tex] \boxed{ \tt = 4 \sqrt[3]{7m {}^{2} } }[/tex]
Step-by-step explanation:
Given,
[tex] \sqrt[3]{448m {}^{2} } [/tex]
Solution:
Rewrite 448 m^2:[tex] = \sqrt{4 {}^{3 } \times 7 \: m {}^{2} } [/tex]
Bring terms out from the radical and write it as;[tex] \tt = 4 \sqrt[3]{7m {}^{2} } [/tex]
[tex] \rule{225pt}{2pt}[/tex]
Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected
There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.
The number of the possible ways will be calculated by:
[tex]=2 ^{28}C_2+^{28}C_4[/tex]
[tex]=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}[/tex]
[tex]=756+28853[/tex]
[tex]=21231[/tex]
Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
To know more about Combination follow
https://brainly.com/question/11732255
#SPJ1
Im so confused… PLEASE HELP.. also sorry its so dark but its 6,6
Answer:
what is it asking?
Step-by-step explanation:
if its how many cubes it needs for it to fill up its 9
in a linear equation, how many times will a line cross the x-axis and y-axis?
(a) 4
(b) 2
(c) 1
(d) 3
Answer:
1 time they will only cross 1 time
Answer:
one, in a linear equation a line will only cross the x-axis and y-axis once.
help brainless if right
Answer:
The boat is 26 mi far from dock .
Step-by-step explanation:
By using PGT
P²+B² = H²
=> 10² + 24² = c²
=> 100 + 576 = c²
=> 676 = c²
=> √676 = c
=> 26 = c
Answer:
26 miles
Step-by-step explanation:
We can use Pythagorean's Theorem for right triangles which states that:
[tex]a^2+b^2=c^2[/tex]
The values 'a' and 'b' are the shorter sides of the triangle, while the value 'c' is the longest side of the triangle. We are given the two shorter sides 'a' and 'b', so let's now find 'c':
[tex](24mi)^2+(10mi)^2=c^2[/tex]
[tex]576mi^2+100mi^2=c^2[/tex]
[tex]c^2=676mi^2[/tex]
[tex]c=\sqrt{676mi^2}[/tex]
[tex]c=26mi[/tex]
Can someone please give me the (Answers) to this? ... please ...
I need help….
please view the calculations section of this ans
Calculations ↓The easiest way to determine the sine, cosine, and tangent of a number is to utilize the calculator, which we are asked to do.
cos (89) = 0.017
sin (17) = 0.29
tan (35) = 0.700
hope helpful ~
What is the to this Question please let me now
4^4=
Answer:
4^4=4*4*4*16*16=256
Step-by-step explanation:
Answer:
4^4 =16
Step-by-step explanation:
4^4 = 4 · 4
they are both the same thing
4 + 4+4+4 = 16