Answer:
(2 , -3)
Step-by-step explanation:
7x +2y = 8
-5x - 2 = -12
The only method that uses addition/subtraction is elimination
5(7x + 2y = 8)
7(-5x = 10) I am getting x coefficient to be the same, LCF of 7 and 5 is 35)
(multiply it out and now we can get ready to subtract) *I got 10 by adding 2 to -12*
35x + 10y = 40
-35x = 70
10y = -30
y = -3
substitute y into original equation
7x + 2 (-3) = 8
7x - 6 = 8
7x = 14
x = 2
(2 , -3 )
Answer:
Step-by-step explanation:
Add 5x to both sides to isolate -2:
-5x + 5x - 2 = -12 + 5x
-2 = -12 + 5x
Add 12 to both sides to isolate the 5x:
-2 + 12 = -12 + 12 + 5x
10 = 5x
Divide both sides by 5:
[tex]\frac{5x}{5} = 10 \div 5\\[/tex]
x = 2
Substitute this value into the first equation:
7x + 2y = 8
7(2) + 2y = 8
14 + 2y = 8
Subtract 14 from both sides:
14 - 14 + 2y = 8 - 14
2y = -6
Divide both sides by 2:
2y ÷ 2 = -6 ÷ 2
y = -3
So the coordinate set is:
(2, -3)
Hope this helps!
To earn an a in mr.whites math class students must score a total of at at least 135 points on three test. On the first two test , kaylees scores were 47 and 48 . What is the minimum score she must get on the third test to earn an a
Answer:
Set an equation x+47+48= 136
solve for x
x+95=136
x= 40
so they need to score a 40
Suitcases originally priced at $50 are now on sale for $41. What percentage is the discount?
2x-y=4
-2x+y=7
is there a solution
[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]
[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]
Find all values of j for which the quadratic equation has one real solution.
3x² + 5x-j=0
Write your answer as an equality or inequality in terms of j.
Answer:
x = (-5+/- √(25 + 12j))/6
Step-by-step explanation:
The solution to this question requires the application of quadratic formula
Write the equation that describes each line in slope intercept form
Hello there! :)
Let's use the slope formula:
m=[tex]\frac{y2-y1}{x2-x1} \\\frac{0-3}{3-0} \\\frac{-3}{3} \\=-1[/tex]
So the slope (m) is -1.
Now, let's find the y-intercept. It's where the graph touches the y-axis.
The y-intercept is 3.
So our equation looks like so:
y=-x+3
Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]SilentNature :)[/tex]
how can I solve this
1/2 of 20
Answer:
Just multiply over here
1/2 *20
1/2 * 20/1
20/2
10
answer is 10
Answer:
10
Step-by-step explanation:
multiply (1/2) by 20
10
The value of y is directly proportional to the value of x.
If y = 12 when x = 15, what is the value of x when y = 40?
A.
12
B. 32
C.43
D.
50
Answer:
D
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition y = 12 when x = 15
12 = 15k ( divide both sides by 15 )
0.8 = k
y = 0.8x ← equation of proportion
When y = 40 , then
40 = 0.8x ( divide both sides by 0.8 )
50 = x → D
Pls help with the second one. Thank you to the person who helped me with the first one.
Can somebody help me with this question, im stuck on it.
Answer:
180 degrees
Step-by-step explanation:
Transformations don't change the size or angles of a triangle.
We know the angle of T & S. We need to find R.
To do this we will do...
180 - (60+40) =
= 180-100
=80
R is 80 degrees.
Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.
Also, remember that triangles will ALWAYS add up to 180 degrees.
Hope this helps! Please give this a rating and press the heart button! Thanks!
Find 3 ratios that are equivalent to the given ratio 3 over 6
9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93
135000002.613! At least I think!
will give brainliest !!
Answer:
Triangle A'B'C'
A'B'= 7.81
B'C'= 6
A'C'=5
C) Perimeter= 18.81 Area 15
Triangle ABC
AB=5
BC=4
AC=3
c) Perimeter = 12 Area = 6
Step-by-step explanation:
Triangle ABC work
Perimeter 4+3+√4^2+3^2=12
Area 4*3/2=6
Triangle A'B'C' work
Area 6*5/2=15
Perimeter 6+5+√6^2+5^2=18.81025
Please give brainliest
Write an explicit rule and recursive rule for a geometric sequence with a 2nd term of 6 and a 3rd term of 12.
this is my attachment answer hope it's helpful to you
Which inequality represents this graph?
A) y ≤ 1/3x - 1
B) y > 1/3x - 1
C) y ≥ 1/3x - 1
D) y < 1/3x - 1
Answer:
D) y < 1/3x - 1
Step-by-step explanation:
the equation of the line is y= 1/3x-1, then the dark part represents all the values that less than the values of y. The broken line means 'strongly', then the sign should be '<'.
if y varies directly as x, and y is 20 when x is 4, what is the value of y when x is 80
Answer:The equation of that is y=kx
Substitute it in and you get
20=6k
Divide 6 on both sides
k=3 1/3
Then since it asks what is the value of y when x is 24 use k in the equation
y=3 1/3*24
so y=80 is the answer
Step-by-step explanation:
Cookies cost $5.40 per dozen. What is the unit rate Price per cookie
Answer:
$0.45 per cookie
Step-by-step explanation:
1 dozen = 12, so you divide both sides by 12. 5.40/12 would equal $0.45 per cookie
Answer:$0.45
Step-by-step explanation:
If it costs $5.40 for 12 cookies then you will need to find how much it costs for 1 cookie. To do this you will need to divide 5.4 by 12 so 5.4/12=0.45
A line passes through the points (-4,5) and (1,-5). Write the equation of the line in slope-
intercept form.
A. y = - 2x - 3
B.y = - 2x +3
C. y=2x-3
D. y = 2x + 3
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3
(3 x^-2 y^3)^3 Please help ASAP
Answer:
I don't understand what do you mean by (3 x^-2 y^3)^3
by itself?
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.
Answer:
independent variable: the number of children
dependent variable: the cost of admission
rate of change: 11
Step-by-step explanation:
independent variable is what changes which in this case is the amount of children
dependent variable is the factor that changes because of the independent variable which in this case is the cost of admission
the rate of change is 11 because the cost of one kid would be $11
Is this right?
Pic below! :D
Answer:
I Don't Think So
But ask your parents or your older brother or sisters
That looks right about those questions you were asking me the last part where you got 1.50 is a little confusing could you explain maybe how you got that but the right answer is there
Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove? 3. 52 (22 minus n) = 0. 24 StartFraction 22 minus n Over 3. 52 EndFraction = StartFraction 24 Over 100 EndFraction StartFraction 3. 52 Over 22 minus n EndFraction = StartFraction 24 Over 100 EndFraction 3. 52 (22 minus n) = 0. 24.
Answer:
The correct answer is 33.4516
Approximately it is 33.452
A survey was given to people who own a certain type of car. What percent of the people surveyed were completely satisfied with the car?
Answer:
60% if this is an edge question
cellus If investments double every 7 years and you start with a $600 investment, how much money would you have after 21 years?
Answer:
4800$
Step-by-step explanation:
1 day = 600
7 years = 600 x 2 = 1200$
14 years = 1200 x 2 = 2400$
21 years = 2400 x 2 = 4800$
A cyclist travels 122.5 km in 2 hours. Calculate his speed. *
61.25 km/hr
.016 km/hr
65 km/hr
Answer:
61.25
Step-by-step explanation:
speed = distance / time
speed = 122.5 km / 2 hour
= 61.25
Solve the non-standard equation for x.
-18 + x = -4
Answer:
x = 14
Step-by-step explanation:
solve for x, find the measure of all angles hurryyyyyyy!
Answer:
x=6 as 180 in triangle take away 150 30 by 5 is 6
the slope of (5,3) AND (10,8)
Answer:
(5,5) is your slope: y=5 and x=5 too
Step-by-step explanation:
Step-by-step explanation:
what the guy above said is right
f(x)={x+4….
for f(x)
Answer:
3f=5
Step-by-step explanation:
f(x) = x+4
3f=4x
x<5
5<_x<7
7<_x<_10
how do u simplify 4625/1000
Answer:
37/8
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.
4625 ÷ 1251000 ÷ 125.
Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.
Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/2 hour. For the remainder of the time, Daniel read stories. How much time did Daniel spend reading stories?
Answer:
He spent 3/4 of an hour reading stories
Step-by-step explanation:
Sorry I dont have time :(