Answer:
Step-by-step explanation:
56
Beyonce is solving a system of equations: 2x – 3y = -2
4x + y = 24
She decides to use the elimination method to find the solution. She multiplies the second equation by 3 and adds it to the first equation to find 14x = 70, showing her that x = 5. Beyonce finds that y = 4.
Step 3: 4x + y = 24
4(5) + y = 24
20 + y = 24
-20 -20
y = 4
Step 1: 3(4x + y = 24) → 12x + 3y = 72
Step 2: 2x – 3y = -2
Solution: (5, 4)
+ 12x + 3y = 72
14x = 70
→ x = 5
Thinking about this process, Beyonce says out loud, “There are lots of ways I could go about solving this problem. I could do the method above or I could multiply the first equation by -2 and add the second.
Step 3: 4x + y = 24
4x + 4 = 24
-4 -4
4x = 20
x = 5
Step 1: -2(2x – 3y = -2) → -4x + 6y = 4
Solution: (5, 4)
Step 2: -4x + 6y = 4
+ 4x + y = 24
7y= 28
→ y = 4
“I seem to find that there is only one solution to the two equations, but I wonder if I will get the same solution if I use a different method?”
If Beyonce uses a different method, would she get the same solution? Be sure to show work or explain your reasoning.
Answer:
Step-by-step explanation:
Describe how you know whether an equation will be true for all values of x or true for no values of x.
Answer:
Substitute your answer for the variable x. If the equation looks accurate or is correct, then the value of x is the right answer. Not sure if this makes sense
Determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.
What is an equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Simplify the equation as much as possible using algebraic manipulations such as combining like terms, factoring, and expanding.
Evaluate the equation for a few different values of x to see if it holds true. If the equation is true for all values of x within the domain, then it will be true for all values of x. If there are any values of x within the domain that make the equation false, then it will be false for no values of x.
If the equation cannot be simplified or the domain cannot be determined, then it may require further analysis, such as graphing or using calculus techniques to determine its behavior.
Thus, determining whether an equation is true for all values of x or true for no values of x requires simplifying the equation, determining its domain, checking for variable restrictions, and evaluating the equation for different values of x.
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Mariana picked x apples at an orchard. She and her friends ate 6 of them, leaving 36 apples the number of apples can be represented by the equation x-6=36 . Plot a point on the number line to represent x, the number of apples Mariana picked.
Answer:
42??
Cause 42-6=36
iqiwuwujdjdnkqkwkskksks
Answer:
42
Step-by-step explanation:
36+6=42
42-6=36
What angles measure 70 degrees?
< EFC
< EFB
< EFA
< EFD
Indicate below whether the equation in the box is true or false.4/8 = to 6/10
Answer:
Not equal. So, false.
Step-by-step explanation:
Just cross multiply
40 and 48
so no, they're are not equal.
Answer:
False
Step-by-step explanation:
I NEED HELP!! WILL GIVE BRAINLEST!!!
Solve the system below by GRAPHING:
Y=5x-8
Y=1/3x+6
Answer:
I promise you the app Math. way will save you it will do it for u and show you where to put it on the graph just download it
Burger = 8.00
Fries = 2.00
Drink = 1.00
Tax = 7%
Tip = 20%
Total = _______
Answer:
$13.79
Step-by-step explanation:
$8.00+$2.00+$1.00=$11.00
7%=$0.77
$11.00+$0.77=$11.77
20%=$2.02
$11.77+42.02=$13.79
What is the variables in the expression
x2 + y - 2 - 16
Answer:
The variables in your equation are x and y;
the numbers in your equation are 2, -2, and -16
Find the variables
a/k+b=c/k find k
Answer:
[tex]k=-\frac{a}{b}+ \frac{c}{b}[/tex]
Step-by-step explanation:
[tex]\frac{a}{k}+b = \frac{c}{k}\\\frac{a}{k}- \frac{c}{k} = -b\\\frac{1}{k}(a-c)=-b\\a-c=-bk\\k=-\frac{a}{b}+ \frac{c}{b}[/tex]
The value of 3 expo3 + 4 expo2
Answer:
43
Step-by-step explanation:
[tex]3^{3}[/tex]+[tex]4^{2}[/tex]=
Solve:
[tex]3^{3}[/tex]= 3*3*3= 9*3= 27
[tex]4^{2}[/tex]= 4*4= 16
Then add them together:
27+16= 43
Hope this helps!
Help me please..,................
Answer:
165and 75 is your answer
Answer:
hope it helps you have a great day keep smiling be happy stay safeTriangle QRS has the angle measures shown.
What is the measure of the obtuse angle?
m2Q=(1x)
mZR= (3x)
m25 = (6x)
O 18
54
108
© 216
Answer:
108 degrees
Step-by-step explanation:
Given the following angle measures in triangle QRS
m<Q = 1x
m<R = 3x
m<S = 6x
Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees
The sum of angle in a triangle is 180 degrees
m<Q + m<R + m<S = 180
1x + 3x + 6x = 180
10x = 180
x = 180/10
x = 18
The obtuse angle is 6x
Measure of the obtuse angle = 6x
Measure of the obtuse angle = 6(18)
Measure of the obtuse angle = 108 degrees
Hence the measure of the obtuse angle is 108 degrees
Mr. Sloan leaves his house at 8:30. It takes 50 minutes to get to Boston airport. There were a 45 minute delay. It will take 5 hour and 10 minutes for the trip to Salt lake. What time will Mr. Sloan arrive in Salt Lake
Answer:
15:15
Step-by-step explanation:
The time he would get to salt lake is the sum of all the times
8: 30 + 45 min + 50 min + 5:10
to find the time, add only the minutes : 30 + 45 + 50 + 10 = 135 minutes
Remember 60 mins = 1 hour
so 135 mins = 2 hours 15 minutes
Now add the hours
8 + 5 = 13 hours
13 hours + 2 hours 15 minutes = 15:15
The campers at camp sleep-a way voted on a dinner choice for their last night at camp. There were 188 campers who voted on either hot dogs or spaghetti. 3 times as many campers voted for hot dogs as voted for spaghetti. How many campers voted for hot dogs
Answer:
141 campers voters for hotdogs
Step-by-step explanation:
h+ s = 188
h = 3s
3s + s = 188
4s = 188
s = 47
h = 141
The number of campers who voted for hot dogs is 141.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of campers = 188
The number of campers who voted for hot dogs.
= 3x
The number of campers who voted for spaghetti.
= x
Now,
3x + x = 188
4x = 188
x = 47
Now,
3 x 47
= 141
Thus,
141 campers voted for hot dogs.
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A loan of $2,000 dollars is being paid off over time. You have automatic payments set up to pay $50 towards the loan each month. You also work and save money in your bank account. You currently have $500 in the bank and save an additional $100 per month. What is the earliest you could pay off you loan?
Answer:
10 months
Step-by-step explanation:
2000 - 500 = 1500.
You can pay 100 + 50 = 150 per month
1500 / 150 = 10 months
Look at the expression below. Tell whether each
tatement about its value is True or False.
Answer:
true
Step-by-step explanation:
PLSSSSSSSSSS HEEEEEEEEEEEEEEEELLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
\sqrt(x^(2)-14x+49)=x-7
Answer:
infinite solutions
Step-by-step explanation:
note the expression inside the radical is a perfect square, that is
x² - 14x + 49 = (x - 7)², then
[tex]\sqrt{x^2-14x+49}[/tex] = x - 7
[tex]\sqrt{(x-7)^2}[/tex] = x- 7, that is
x - 7 = x - 7
Since both sides are the same then any value of x will make the equation true.
The equation has infinite solutions
Help please! Thank you!!!!!!!!!!!!!!!!!
Answer:
[tex]7m\\ 322m^{2}[/tex]
Step-by-step explanation:
bare with me yall i know how to do it, im just tryna save time
Answer:
how do u even do this
Step-by-step explanation:
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
of subscribers, S, that use their service after y years. If there were 20,000 cable
television subscribers when the cable company began, what is the meaning of the
expression (1 + 0.08)Y?
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
I
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
What is the value of x?
o 3
o 6
o 10
o12
Answer:
x = 6
Step-by-step explanation:
Sum of all the angles of a kite = 360
∠W + ∠Y + ∠V = 360
18x - 2 + 12x + 2 + 90 + 90 = 360 {Combine like terms}
18x + 12x -2 + 2 + 90 +90 = 360
30x + 180 = 360
30x = 360 - 180
30x = 180
x = 180/30
x = 6
The area of a rectangle is 14 square units. It has side lengths a and b. Given the following values for a, find b.
a=4 1/5
Why is 40x-16 not equivalent?
Please help (i’m in 7th grade)
Answer:
40x-6 is not equivalent because 16 is not a multiple of 40
Step-by-step explanation:
if you write the multiples of 4o you will see that 16 is not one of them so that means 40x-16 is not equivalent
Solve the inequality: y - 18 < 55
Answer:
y < 73
Step-by-step explanation:
y−18+18<55+18
y < 73
Find m<YQR pls need grade gud.
Answer:
21°
Step-by-step explanation:
We can prove these two triangles congruent by the HL (Hypotenuse-Leg) theorem. Then, we know that m<YQR is congruent to m<PQY. We can then use their given values to form an equation.
5x+6=16x-27
Continue to solve . . .
33 = 11x
x=3
Therefore, we can plug this value of 3 into the expression for the value of m<YQR, and you will get
(16 x 3) - 27, which is equal to 21°.
Add the integers.
-6 + (-4) =( ?
B-2
C 2
D 10
Answer:
-10
Step-by-step explanation:
Dee's solution is incorrect because her equation is incorrect. Write the correct equation she could use to find x
m
x + 40 + 60 =180
x=80
m
PLEASE HELP ITS DUE AT 11:59
Solve for the value of y.
(9y-6)° 51°
Answer:
5
Step-by-step explanation:
This is a right angle which means it is equal to 90. The angle is separated into two parts as shown - the sum of these two parts is equal to 90.
Calculations:
9y - 6 + 51 = 90
9y + 45 = 90
9y = 45
y = 5
standard form of -43/63 is
Answer:
7.28 × 1013
Step-by-step explanation:
The standard form of a number is introduced to avoid the difficulty of reading the large numbers. Any number that can be written in the decimal form between 1.0 to 10.0 multiplied by the power of 10.
In an elementary school with 400 students, 22% had their photographs retaken.
How many students had photo retakes?
Answer:
88
Step-by-step explanation:
400*0.22=88