Answer:
(5,-1)
x=5
y= -1
Step-by-step explanation:
To solve this we're going to solve for one variable in either equation
so we have
x+y=4
We can subtract y and 4 from both sides to get
x-4= -y
Then divide by -1 so that y will be a positive number
-x+4=y
We can plug this in for y in the other equation
2x -2(-x+4)=12
Distribute the -2 and get
2x+2x-8=12
Combine like terms and add 8 to get
4x=20
divide and get x=5
Plug in x=5 into the first equation to get
5+y=4
subtract 5 to get y= -1
Our answer is (5,-1) or x=5 y= -1
I checked this on desmos and the math is correct
Answer:
The solution to the system of equations will be:
x = 5, y = -1
Step-by-step explanation:
Given the system of equations
x + y = 4
2x - 2y = 12
Isolate x for x + y = 4: x = 4 - y
substitute x = 4 - y in the equation 2x - 2y = 12
2(4-y) - 2y = 12
8 - 2y - 2y = 12
8 - 4y = 12
4y = 8 - 12
4y = -4
divide both sides by 4
4y/4 = -4/4
y = -1
substitute y = -1 in x + y = 4
x + y = 4
x + (-1) = 4
x - 1 = 4
x = 5
so
(x, y) = (5, -1)
Therefore, the solution to the system of equations will be:
x = 5, y = -1
Add the expressions
Answer:
to what?
Step-by-step explanation:
Answer:
x+y=z
Step-by-step explanation:
3z + 6(2-5) = -48 i need help asap
Answer:
-10
Step-by-step explanation:
12-30
3z+12-30=-48
3z=-30
z=-10
Sam used algebra tiles to make this model of an equation. Based on Sam's equation what statement is true.
Answer:
(B)
Step-by-step explanation:
Let us denote rectangular tiles by R and square tile by S, then
According to figure.
3 rectangular tiles +2 square tiles +2 square tiles =2 rectangular tiles +4 square tiles +1 rectangular tiles +4 square tiles
∴3R+2S+2R=2R+4S+R+4S
⇒5R+2S=3R+8S
⇒5R-3R=8S-2S
⇒2R=6S
⇒R=3S
Hence, 0ne rectangle =3 square
At the beginning of the year Monica puts a set amount of money into her health benefit account. Every month she withdraws $15 from this account for her contact lenses. After 3 months she has $255 left in her account.
Write an equation in slope-intercept form to represent the relationship between the time that has passed and the amount of money left in Monica's account. Let x represent the time in months and y represent the amount of money remaining in the account.
Answer:
An equation in the slope-intercept form will be:
y = 15x+210Step-by-step explanation:
We know The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
m is the rate of change or slopeb is the y-interceptLet x represent the time in months
Let y represent the amount of money remaining in the account.
Given that every month Monica withdraws $15 from this account for her contact lenses
Thus, the rate of change or slope = m = 15
Given that after 3 months she has $255 left in her account.
So, we take the point (3, 255)
substituting m = 15, x = 3 and y = 255 in the slope-intercept form to determine the y-intercept
y = mx+b
255 = 15(3) + b
switch sides
15(3) + b = 255
45 + b = 255
b = 255 - 45
b = 210
Now, substituting m = 15 and b = 210 in the slope-intercept form of the line equation
y = mx+b
y = 15x+210
Therefore, an equation in the slope-intercept form will be:
y = 15x+2105) Out of a group of 40 students, 14 are taking English, 29 are taking Chemistry, and 5 are
taking both English and Chemistry.
a) Draw a Venn diagram to represent this situation.
b) How many students are in neither class?
c) What is the probability that a randomly-chosen student from this group is taking only
the Chemistry class?
a. Venn diagram attached below.
b. 2 students are in neither English nor Chemistry.
c. The probability that a randomly chosen student is only taking chemistry is 24/40, or 6/10 because out of the 40 students, 24 of them take exclusively the chemistry class.
a) For AQRS use the Triangle Proportionality Theorem to solve for x.
b) After you have solved for x, what is the Perimeter of AQRS?
Answer:
a. x = 14
b. Perimeter = 77
Step-by-step explanation:
a. Based on the Triangle Proportionality Theorem:
[tex] \frac{2x - 2}{13} = \frac{21 - 7}{7} [/tex]
[tex] \frac{2x - 2}{13} = \frac{14}{7} [/tex]
[tex] \frac{2x - 2}{13} = 2 [/tex]
Cross multiply
[tex] 2x - 2 = 2(13) [/tex]
[tex] 2x - 2 = 26 [/tex]
Add 2 to both sides
[tex] 2x = 26 + 2 [/tex]
[tex] 2x = 28 [/tex]
Divide both sides by 2
x = 14
b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7
Plug in the value of x
= (2(14) - 2) + 13 + 17 + 14 + 7
= 26 + 13 + 17 + 14 + 7
= 77
There are 4 red, 6 green, and 5 yellow pencils in a jar. Once a pencil is selected, it is not replaced.
What is the probability you will get a red and then a yellow?
you have a 4/15 chance of getting red and a 5/14 chance of getting yellow staight after.
1. Solve 2/3 X 4/5
a.2/3
b.8/15
c.2/15
d.6/8
Answer:
Step-by-step explanation:
2/3 x 4/5 multiply the terms
8/15
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26,
Answer:
They get greater, obviously and they never lessen
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common difference is was is being added with each number
For example-
8 - 2 = 6
14 - 8 = 6
And so on, Therefore-
Common difference is 6
A car’s engine spins at 1500 RPM. What is the frequency of the rotating engine? Uh sos pls im clueless
Here's your answer,
Answer:
1500÷2
750
Aaron bought flowers for his mother. The flowers were half off the original price. He paid $1.12 in sales tax. If he paid a total of $15.57, what was the original price of the flowers?
Answer:
$7.225
Step-by-step explanation:
Answer:
D) 28.90
Step-by-step explanation:
28.90 divided by 2 = 14.45 + 1.12 (sales tax) = 15.15 (which was the price he had paid)
Quadrilateral ABCD has the following vertices:
A(-6, -2)
B(-4,4)
C(8,1)
D(6, -6)
Also, ZA is a right angle.
Is quadrilateral ABCD a rectangle, and why?
answers: (ignore the chosen one)
Answer:
It b
Step-by-step explanation:
All 3 sides of the shape is parallel as well as A so therefore is b
Answer:
No, because AB is not parallel to CD
When paying for purchases, debit cards ____.
Are cash
Are exactly like credit cards
Take money directly from your account
Have no additional benefits like cash
Answer: Are exactly like credit cards
Step-by-step explanation:
NEED HELP ASAP
Select the correct answer.
4
X
-4
2
-2
Which of the following inequalities is graphed on the coordinate plane?
O A. y > -21 + 1
OB. y -23 + 1
OC. y < -25 + 1
OD. y < -23 + 1
Answer: D. y ≤ -2x = 1
Step-by-step explanation: To determine the inequality, first determine the line equation.
Line equation can be written as
[tex]y-y_{0}=m(x-x_{0})[/tex] , called point-slope form of a line equation,
where
m is slope of the equation
x₀ and y₀ are points in the line
Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:
[tex]m=\frac{3+1}{-1-1}[/tex]
m = -2
Replacing slope and point (0,1) into point-slope form:
[tex]y-1=-2(x-0)[/tex]
[tex]y=-2x+1[/tex]
This is the equation of the line.
Now, we determine the inequality:
Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).
In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:
y = -2x + 1
0 ≠ -2(0) + 1
0 ≤ 1
Therefore, line equation of the graph is [tex]y\leq -2x+1[/tex].
(5y-12)+(-5y-1) find the sum
Step-by-step explanation:
Given
(5y - 12 ) + ( -5y - 1)
= 5y - 12 - 5y - 1
= 5y - 5y - 13
= - 13
Hope it will help):)❤
Write the equation in standard form
using factoring.
f(x) = (2x
+
1)(x – 4)
Answer:
2x^2 - 7x - 4
Step-by-step explanation:
Given the expression f(x) = (2x+1)(x – 4)
To write it in standard form, we need to factorize it
(2x+1)(x – 4)
= 2x(x) - 2x(4) + x - 4
= 2x^2 - 8x + x - 4
= 2x^2 - 7x - 4
hence the expression in standard form is 2x^2 - 7x - 4
Find ex and Y to the quadrilateral is a parallelogram.
The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
This question is incomplete, the complete question is;
Suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows;
Number of breakdowns prob.
0 0.50
1 0.25
2 0.10
3 0.10
4 0.05
The cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. If the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. How much better off per month would the firm be if it adopted preventive maintenance
Answer:
the firm will be $100 worse off per month if it adopted preventive maintenance.
Step-by-step explanation:
Given the data in the question;
the probability of breakdown iwill be;
= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) +(4×0.05)
= 0 + 0.25 + 0.2 + 0.3 + 0.2 = 0.95 or 95%
Now the cost of machine failure will be;
⇒ 2000 × 0.95= $1900
if they implemented preventive measures, the cost is $2000,
if the preventive measure taken the cost is $2000, the benefit is for $1900, and the output is additional cost of $100.
Therefore the firm will be $100 worse off per month if it adopted preventive maintenance.
James can buy 12muffins for $9.60 or 3 muffins for $2.70. Which is the better deal?
Answer:
12 muffins for $9.60
Step-by-step explanation:
Determine the value of y that maintains the congruence of the figures.
Answer:
We conclude that the value of y = 11 cm.
Step-by-step explanation:
Given that both the figures maintain the congruence of the figures. It means both the figures have the same size.
Thus,
The length of DQ = The length of EL
Given
The length of DQ = 3y - 1
The length of EL = 32 cm
so
The length of DQ = The length of EL
3y - 1 = 32
Adding 1 to both sides
3y - 1 + 1 = 32+1
3y = 33
Dividing both sides by 3
3y/3 = 33/3
y = 11
Thus, the value of y = 11 cm
Therefore, we conclude that the value of y = 11 cm.
Which of the following describes a situation in which a baseball player ends up 0 m from his starting point? The player runs 4 meters forward and then runs 3 meters in the opposite direction The player runs 3 meters forward and then runs 3 meters in the opposite direction The player runs 3 meters forward and then runs 4 meters in the opposite direction The player runs 3 meters forward and then runs 0 meters in the opposite direction
Answer:
3 meters forward then three in the opposite direction
Step-by-step explanation:
express each ratio as a fraction in simplest form .3km to 500m
A triangle with coordinates (1, 1), B(4, 2). C1(3, 5) is translated three units down and five units to the left. What are the coordinates of the new triangle?
Your answer should be B.
Explanation: Moving left or right affects the x coordinate, and moving up or down affects the y coordinate.
Moving 3 units down: A(1, 1 - 3), B(4, 2 - 3), C(3, 5 - 3) = (1, -2), (4, -1), (3, 2)
Moving 5 units to the left: A(1 - 5, -2), B(4 - 5, -1), C(3 - 5, 2) = A(-4, -2), B(-1, -1), C(-2, 2)
(Sorry I said A, earlier.)
any helllp please
i neeed help pleasee
Help ASAP find the values of x and y
Answer:
x = 48° and y = 70°
Step-by-step explanation:
As it is an isosceles triangle so base angles of isosceles triangle are equal
x +7° = 55°
x = 55° - 7°
Therefore x = 48°
Now
x + 7 = (48 + 7)°= 55°
Calculating the value of y as sum of angles of triangle is equal to 180°
y + 55° + 55° = 180°
y + 110° = 180°
y = 180° - 110°
Y = 70°
Hope it will help :)
Answer:
x=48
y=70
Step-by-step explanation:
Key skills required are triangles, isosceles triangles, one variable equations, interior angle sums
1) You have to start with the fact that the triangle is isosceles. This means that the 2 base angles (x+7 and 55) are equal to each other.
An isosceles triangle has 2 sides equal and 2 angles equal.
2) With the explanation above --> x+7=55
3) Subtract 7 from both sides and you will get x=48
4) The sum of all the angles in a triangle is 180 degrees. The two bottom angles are 55 degrees each, making their sum 55+ 55= 110 degrees.
5) 110 degrees + y degrees = 180
6) subtract 110 from both sides and y would equal 70.
Hope you understood and have a nice day!! :D
Which expression is equivalent to the given expression?
13x−29x
Please i need an answer fast
What is the best estimate for the liquid volume of a small cartoon of milk
Answer:
Answer: 2 ml
Step-by-step explanation:
1 litre is equal to 1,000 ml, and therefore the best solution is 2 ml.
If the odds of winning the prize is 1 : 53 and If I purchased 84 tickets what are the odds of winning in percentage. Step by step?
Answer:
79.81% probability of winning.
Step-by-step explanation:
For each ticket, there are only two possible outcomes. Either you win, or you do not. The probability of winning in a ticket is independent of other tickets. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The odds of winning the prize is 1 : 53
This means that [tex]p = \frac{1}{53}[/tex]
If I purchased 84 tickets what are the odds of winning in percentage.
To win, at least one of the tickets must have the prize, of 84 tickets, so [tex]n = 84[/tex].
We have to find [tex]P(X \geq 0)[/tex], which is given by:
[tex]P(X \geq 0) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = 0) = C_{84,0}.(\frac{1}{53})^{0}.(\frac{52}{53})^{84} = 0.2019[/tex]
[tex]P(X \geq 0) = 1 - P(X = 0) = 1 - 0.2019 = 0.7981[/tex]
79.81% probability of winning.
Devon's team has won 21 games and lost 7 this season. What is the
approximate probability that his team wins the next game it plays?
Answer:
i think is A
Step-by-step explanation:
Answer: probability of won=
no. of won match=21
no. of total match=28
so they cut and made 3/4
probability of lost match=
no. of lost match=7
no. of total match=28
so they cut and made 1/4
HOPE THIS HELPS
very easy need by morning answer please
Answer:
-9
Step-by-step explanation: