[tex] \begin{cases} x - y = - 2 \\ 4x - y = 4 \end{cases}[/tex]
Use the elimination method as it is faster. We have to eliminate the y-term. (You can eliminate the x-term but it takes longer than eliminating y-term.)Simply multiply the negative one in one of the equations.
[tex] \begin{cases} - x + y = 2 \\ 4x - y = 4 \end{cases}[/tex]
We can finally eliminate the y-term by adding both equations.
[tex]( - x + 4x) + (y - y) = 2 + 4 \\ 3x + 0 = 6 \\ 3x = 6 \\ x = \frac{ 6 }{3} \longrightarrow \frac{ \cancel{6}}{ \cancel{3}} = 2 \\ x = 2[/tex]
Substitute the value of x in any given equations. I will substitute in the first equation.[tex]x - y = - 2 \\ 2 - y = - 2 \\ 2 + 2 = y \\ 4 = y[/tex]
Check the answer by substituting the value of x and y in both equations.First Equation
[tex]x - y = - 2 \\ 2 - 4 = - 2 \\ - 2 = - 2 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Second Equation
[tex]4x - y = 4 \\ 4(2) - 4 = 4 \\ 8 - 4 = 4 \\ 4 = 4 \longrightarrow \sf{true} \: \: \green{ \checkmark}[/tex]
Hence, the solution is (2,4).
Answer[tex] \begin{cases} x = 2 \\ y = 4 \end{cases}[/tex]
Coordinate Form
[tex](2,4)[/tex]
Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary) on the amount of sales over $50000. Let s be the amount of his total sales for the month and j(s) be the amount of his salary for the month.
Answer:
[tex]j(s) = 0.05s -500[/tex]
Step-by-step explanation:
Given
[tex]Base\ Salary = 2000[/tex]
[tex]Commission = 5\%[/tex] on Sales over 50000
Required
Determine the function j(s) for sales over 50000
Represent the total sales in a month with s.
Sales over 50000 in that month will be: s - 50000
So, the function j(s) is:
j(s) = Base Amount + Commission * Sales over 50000
[tex]j(s) = 2000 + 5\% * (s - 50000)[/tex]
Convert % to decimal
[tex]j(s) = 2000 + 0.05 * (s - 50000)[/tex]
Open bracket
[tex]j(s) = 2000 + 0.05 * s - 0.05 * 50000[/tex]
[tex]j(s) = 2000 + 0.05s - 2500[/tex]
Collect Like Terms
[tex]j(s) = 0.05s - 2500 + 2000[/tex]
[tex]j(s) = 0.05s -500[/tex]
PLS HELP ASAP SEE SCREENSHOTS I NEED ANSWERS LIKE RN PLSS SRRYY:(
Answer:8= 2nd answer 9=3rd answer
Step-by-step explanation:
I don’t understand this plsss help. You don’t rlly need to give an explanation if you don’t feel like it. I just need an answer
14.2 is 35.5% of what number w?
PLEASE HELP ME!! I will mark you branliest
Answer:
10
Step-by-step explanation:
The perimeter of one side (RS) is 4, while the other (QS) Is slightly longer. Round it to 4. And the last side (QR) is half the size of the first side (RS)
Therefore, the answer should be 10
What is the value of x that makes the number sentence true? x + (-5) = -5
Seventeen of the monkeys at the zoo like bananas. There are 15 monkeys in all at the zoo. What fraction of the monkeys like bananas. What is th answer?
Answer:
7/15 of the monkeys like bananas
Hope this helps.
Mrs. Brown uses
1/4 package of graph paper for each class. She needs 1 1/2 packages to serve all of her
classes. How many classes does Mrs. Brown teach?
Answer:
6
Step-by-step explain
1.5 divide by .25 = 6
What is X?
Please help!
Answer:
94
Step-by-step explanation:
the sum of the angles in a triangle add up to equal 180
180-73-13=94
Answer: X = 89°
Step-by-step explanation:
At first glance I could tell this was an isosceles triangle, the angles of an isosceles triangle add up to 180°. So just add 73° + 13° = 91° so then you subtract 91° from 180° and you get 89°.
How many pieces of ribbon having length of 50cm will make 1 meter?
option a (4 pieces )
option b( 3 pieces)
option c ( 2 pieces)
Answer:
option c
Step-by-step explanation:
one meter is 100 centimeters
Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)
Answer:
y = 2/5x + 18.
Step-by-step explanation:
The line will have the same slope of 2/5.
Using the point-slope form of a line:
y - 12 = 2/5(x - -15)
y - 12 = 2/5(x + 15)
y = 2/5x + 6 + 12
y = 2/5x + 18.
Answer:
y = (2/5)*x + 18
Step-by-step explanation:
Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .
Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y = (2/5)*x + 18.
Ashley is driving at a rate of 15 miles per hour. How far will she get if she drives 6 hours
Answer:
90 miles
Step-by-step explanation:
6 x 15 = 90
224 students out of 560 students chose chocolate ice cream. What percent is this?
Answer:
Just divide the 224 out of the total 560
40%
Step-by-step explanation:
Moe and Larry each need to raise $200 to go on a trip with their school band.
Mo has $35 in savings and earns $20 per week delivering papers.
Larry has $60 in savings and earns $10 per we do yard work.
Each student can write an equation using the
following "let" statements:
Let X be the number of weeks work and Y be the amount of money saved.
How long will it take for a have to work to have enough money for the trip ?
Moe Larry
35 + 20x 60 + 10x
35 + 20x = 60 + 10x
(show work)
x = 2.5
Moe and Larry will have the same amount of money in their savings accounts after 2.5 weeks.
-From TheRealMarinette
-Pls Dont Not Copy N Paste.
What is the value of x in the equation 3/4 x + 24 = x − 12 ?
Answer:
x = 144
Step-by-step explanation:
3/4x + 24 = x - 12
3/4x - x = -12 - 24
3/4x - 4/4x = -36
-1/4x = -36
x = -36/-1/4
x = 144
Which of the following are benefits of a debit card? Select all that apply.
A) more debt
B) built into checking account
C) high annual fee
D) can withdraw cash
Answer:
D
Step-by-step explanation:
i got this like years ago and i passed heeheh
a)7d + 5c–9d + 4c+ 3
need help please show your work
find the missing angles of triangles
Answer:
angle: 71
x = -3
Step-by-step explanation:
step 1: 180-(55+54) = 71
step 2: x+74=71 (subtract 74 from both sides)
step 3: x=-3
step 4: -3+74=71
Tell whether the two rates form a proportion: 25 cars in 5 days: 60 cars in 12 days.
yes or no?
Answer:
Not sure but i think its a yes
Step-by-step explanation:
25 divide by 5 = 5 60 divide by 12 =5
Please help me! Does ∡JLK = 102° ?
Answer:
36+102=138 180-138=42
Step-by-step explanation:
sorry i berly learning this ... i suck ... plz someone help this kid
please it’s due in 30 minutes i will give brainly
Answer:
Area = 113.01 m²
Step-by-step explanation:
From the picture attached,
Area of the quadrilateral ABCD = Area of triangle ABC+ Area of triangle ACD
Construction to be done → Draw a perpendicular from a point A to the opposite side CD
Area of Δ ABC = [tex]\frac{1}{2}(AB)(BC)[/tex]
= [tex]\frac{1}{2}(12)(10)[/tex]
= 60 m²
Area of triangle ACD = [tex]\frac{1}{2}(AE)(CD)[/tex]
From ΔAEC,
sin(29°) = [tex]\frac{AE}{AC}[/tex]
AC = [tex]\sqrt{(12)^2+(10)^2}[/tex] [By Pythagoras theorem]
AC = [tex]\sqrt{244}[/tex]
AC = 15.62 m
Therefore, AE = 15.62sin(29)
= 7.57 m
Area of ΔACD = [tex]\frac{1}{2}(7.57)(14)[/tex]
= 53.01 m²
Area of ABCD = 60 + 53.01
= 113.01 m²
A
B
C
D
? I need help
Answer:
what the question
Step-by-step explanation:
what are am insupposed to be doing here
calculate the value of (-8) * (-2/3)
Answer: Exact Form: 16/3
Decimal Form: 5.3333...
Mixed Number form: 51/3
Step-by-step explanation: Hope I helped
Answer:
5 1/3
Step-by-step explanation:
Carlita is flying a kite at the beach. She wants to know the altitude of the kite when she uses 25 yards of string at an angle of elevation of 56°. Find the altitude of Carlita's kite to the nearest hundredth.
13.98 yards
20.73 yards
30.16 yards
37.06 yards
Please Answer as soon as you can I am giving 50 points!
Answer:
Step-by-step explanation:
13.98
The altitude of Carlita's kite to the nearest hundredth should be considered as the 13.98 yards when she uses 25 yards of string at an angle of elevation of 56.
Calculation of the altitude of Carlita's kite:Since she uses 25 yards of string at an angle of elevation of 56°
So we know that
cos 56 degrees = 0.5592
Now the altitude is
= (25) (0.5592)
= 13.98 yards
We basically multiplied these two so that the altitude should come.
hence, the first option is correct.
learn more about altitude here: https://brainly.com/question/3590651
The graph shows a volume of ice cubes versus temperature in degrees celsius. Which of the statements is false?
A. The correlation coefficient is close to zero.
B. Temperature is strongly correlated to the volume of ice cubes.
C. Temperature is the explanatory variable.
D. The data show a negative linear relationship.
The statements which is false about the volume of ice cubes versus temperature graph is the correlation coefficient is close to zero.
What is the correlation coefficient?Correlation coefficient is used to calculate how strong the relationship is between the two variables.
When there is a statistical relationship between two or more variables, then they are said to be in correlation.
Types of correlation-
Positive correlation coefficient- When the value of correlation coefficient is positive, then the value of one variable increases with increase in other variable.Negative correlation coefficient- When the value of correlation coefficient is negative, then the value of one variable decreases with increase in other variable.
The graph shows a volume of ice cubes versus temperature in degrees Celsius.
For a perfect correlation, -1 or +1 values is ideal. Here, some relation can be seen in a negative straight line, which suggest that the correlation coefficient is not close to zero.
Both volume and temperature has strong correlation for linear line where, temperature is the explanatory variable.
Thus, the statements which is false about the volume of ice cubes versus temperature graph is the correlation coefficient is close to zero.
Learn more about the correlation coefficient here;
https://brainly.com/question/4219149
#SPJ2
Answer:
The correlation coefficient is close to zero
Step-by-step explanation:
just did it
2. Identify the measure of angle x. (Write your answer in number form only, 1 point
for example 8. No degree symbol). *
73
Answer:
17
Step-by-step explanation:
x is a whole number
Write down the smallest value of x that satisfies 3x > x + 7
Answer:
x= 6
Step-by-step explanation:
3x > x + 7
3(6) > 6 + 7
18 > 13
Hope this helps. Thank you !!
Answer:
it's 4 because if you multiply 3 and 4 it's 12. and 4 plus 7 is 11. making 4 the lowest
find the missing number 29\50=__\100
Answer:
58/100
Step-by-step explanation:
50 times 2 is 100, so we multiply the other number by 2 because what you do to the bottom you do to the top.
29 times 100 is 58
your answer is 58/100
SOMEONE HELP ASAP PLEASE
<><><><><><><><><><><><><><><>
What is the solution to the equation? 2+53 - -9
AGAIN PLEASE SOMEONE HELP
Step-by-step explanation:
2 + 59 -(-9) = 2+ 59 +9 = 59 + 11 = 70
Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x − 1).
I will mark brainliest if correct
Answer:
Step-by-step explanation:
1_| 1 -2 -5 6
1 -1 -6
1 -1 -6 0
Q(x)= x^2 - x - 6
R: 0