Answer:
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=8,\:y=5[/tex]
Step-by-step explanation:
Given the system of linear equations
[tex]7x-y=51[/tex]
[tex]x+3y=23[/tex]
solving by the elimination method
[tex]\begin{bmatrix}7x-y=51\\ x+3y=23\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x+3y=23\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x+21y=161[/tex]
[tex]\begin{bmatrix}7x-y=51\\ 7x+21y=161\end{bmatrix}[/tex]
[tex]7x+21y=161[/tex]
[tex]-[/tex]
[tex]\underline{7x-y=51}[/tex]
[tex]22y=110[/tex]
so
[tex]\begin{bmatrix}7x-y=51\\ 22y=110\end{bmatrix}[/tex]
now solving for y
[tex]22y=110[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}22[/tex]
[tex]\frac{22y}{22}=\frac{110}{22}[/tex]
[tex]y=5[/tex]
[tex]\mathrm{For\:}7x-y=51\mathrm{\:plug\:in\:}y=5[/tex]
[tex]7x-y=51[/tex]
[tex]7x-5=5[/tex]
[tex]7x=56[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}7[/tex]
[tex]\frac{7x}{7}=\frac{56}{7}[/tex]
[tex]x=8[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=8,\:y=5[/tex]
what is the midpoint between a(2,-2) and B (-3, 2)
Answer:
Midpoint (xM, yM) = (4, 5)
Hope it helps if it does pls give me brainly :)
Point A is located at (2, 9) and is reflected in the x-axis. What is the location of Point A'?
(-2, -9)
(2, -9)
(-2, 9)
(9, -2)
From a collection of 124 poems, 36 are sonnets, 42 are odes, and 46 are free verse. A poem is
selected from the collection at random. Find the probability that it is a sonnet or an ode. Express
your answer to the nearest whole percent.
A 49 percent
B 63 percent
C 83 percent
D 77 percent
Answer:
63
Step-by-step explanation:
36 is approximately 30% of 124 and 42 is approximately 33% of 124, so 30 + 33 = 63
Answer:
Answer, B
Step-by-step explanation:
add the odes and sonnets, and find the percentage of 78/124 which is 62.9% rounded to 63%.
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −6
0 −3
1 0
g(x)
g(x) = 4x − 5
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answer:Assuming the problem is for the linear functions:
f(x) = -1-50-113 g(x) = -51-113*(2x-7) = -226x+740
g(x) = 2x-7
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
HELP ME FASTTTTTTTTTTTTTTTTTTTT
Suppose m<3=127 degrees. Find m<1.
Answer:
m∠1 = 37°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesGeometry
Definition of a Line: A line is 180°All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Define
m∠3 = 127°
m∠G = 90°
Step 2: Find m∠2
Set up equation: m∠2 + 127 = 180Isolate unknown: m∠2 = 53°Step 3: Find m∠1
Set up equation: m∠1 + m∠2 + m∠G = 180Substitute: m∠1 + 53 + 90 = 180Combine like terms: m∠1 + 143 = 180Isolate unknown: m∠1 = 37°The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 260 minutes, the monthly cost will be $114. If the customer uses 640 minutes, the monthly cost will be $247.
A) Find an equation in the form y= mx+b, where x is the number of monthly minutes used y is the total monthly cost of the NextFell plan.
Answer: _____
B) Use your equation to find the total monthly cost if 949 minutes are used.
Answer: If 949 minutes are used, the total cost will be _____ dollars.
Answer:
Explained below.
Step-by-step explanation:
(A)
Use two-point form to determine the equation for the total monthly cost of the NextFell plan.
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\cdot (x -x_{1})\\\\(y-247)=\frac{247-114}{640-260}\cdot (x-640)\\\\(y-247)=0.35x-224\\\\y=0.35x+23[/tex]
(B)
Compute the total monthly cost if 949 minutes are used as follows:
[tex]y=0.35x+23\\\\=(0.35\times 949)+23\\\\=355.15[/tex]
Thus. the total monthly cost if 949 minutes are used is $355.15.
The age of a cat 2 years or older can be approximately converted into human years by multiplying by 4 and adding 16. Complete the table to represent the relationship between cat age and human years.
Answer:
Step-by-step explanation:
If the age of a cat is represented by 'x' and human years by 'y', relation between the age of cat and human years will be,
y = 4x + 16 [multiplying cat's age by 4 and by adding 16]
Now from the given table,
If x = 2,
y = 4×2 + 16
= 24
If y = 3,
y = 4×3 + 16
= 28
If x = 4,
y = 4×4 + 16
= 32
If x = 5,
y = 5×4 + 16
= 36
If x = 6,
y = 6×4 + 16
= 40
Cat age 2 3 4 5 6
Human years 24 28 32 36 40
Find the slope of the line through the given points.
(10, 11) and (15, 16)
Nine students in Maddie's classroom are wearing red. There are
30 students in her class. Maddie says that 30% of her class is
wearing red. Is Maddie correct? Explain your reasoning,
Answer:
She is correct because 30 percent of 30 is 9 or in other words if you multiply 30 by 30 percent you get 9.
Step-by-step explanation:
Answer:
Yes she is correct cause 30 times 30 percent is 9
Step-by-step explanation:
Demarcus has at least $8 more than his
older sister. His older sister has $4.
Which of the following inequalities could
be used to find how much money, m.
Demarcus has?
Om> 8+4
8 - m < 4
8m > 4
HELPPPPPP PLEASE
Answer:
8m > 4
Step-by-step explanation:
8m, (the amount of money Demarcus has), is more than how much money his older sister has, (4), so 8m is greater than (>) 4
Answer:
8m > 4 is the correct answer:)
Given: AB≅ BC and AK ≅ KC, ∠AKE ≅ ∠CKP, Prove: ∆AKE ≅ ∆CKP
PLEASE HELP!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Given:
AB ≅ BC
AK ≅ KC
∠AKE ≅ ∠CKP
To Prove:
ΔAKE ≅ ΔCKP
Statements Reasons
1). AB ≅ BC 1). Given
2). ∠BAC ≅ ∠BCA 2). Property of Isosceles triangles
3). ∠EKA ≅ ∠PKC 3). Given
4). ΔAKE ≅ ΔCKP 4). ASA Postulate of congruence
Hence ΔAKE ≅ ΔCKP.
2.0 PLZZ help thank you
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
Pre-algebra 2x+56=22 and -99+-51=60 also 5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 and (-4 , -5) and (-1 , -1). Solve Now for brainly big brain people can only solve this question!!!
Answer: 17
Step-by-step explanation:
2x + 56=22
- 56 -56
2x = -34
divide 2x by both sides
x = -17
I need to show my work using dmdcb help?
Answer:
2139 with a remainder of 1
Step-by-step explanation:
hope this helps :))) have a great day!
hidden cost of being a teacher?
Answer:
they have to pay for school supplies
Step-by-step explanation:
Divide 100 by 16 and write the answer as a mixed number. Reduce the
fraction part of the mixed number.
Answer:
Step-by-step explanation:
Divide 100 by 16 and you get 6.25 then turn it into a mixed number which would be 6 25/100 then reduce 25/100 by dividing 100 by 25 and 25 by 25 which will give you 1/4 so the answer is 6 1/4.Welcome!
I reallY need help with these problems. if somebody could give me the answers that would be great
Answer:
∠AMC = 75
Step-by-step explanation:
ΔABC,
∠C = 90° ; ∠B = 30°
∠A + ∠B +∠C = 180 {Angle sum property of triangle}
∠A + 30 + 90 = 180
∠A + 120 = 180
∠A = 180 - 120
∠A = 60°
In ΔACM,
∠ACM = 90/2 = 45° { CM is angle bisector}
∠ACM + ∠AMC +∠A = 180 {angle sum property}
45 + ∠AMC + 60 = 180
∠AMC + 105 = 180
∠AMC = 180 - 105
∠AMC = 75
Which of the following would be the slope of the line perpendicular to the line y=1/3x+3
Answer:
Step-by-step explanation:
-3
perpendicular slope is the negative of the reciprocal
the reciprocal of 1/3 is 3
the opposite of 3 = -3
multiply (4u - 9s) (4u+ 9s)
Answer:
it would be 16u2-81s2 using a2-b2 formula
2(x - 5) = 9 -3x + 6 + 8 + 3x + 7
Answer:
x = 20
Step-by-step explanation:
2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7
2x - 10 = 9 - 3x + 6 + 8 + 3x + 7
2x = 10 + 6 + 8 + 7 + 9
2x = 40
x = 40 ÷ 2
x = 20
Thus, x = 20
-TheUnknownScientist
can u pls help me with this question
Answer: It would be B 9/50
Step-by-step explanation: if you take 3/7 and x it by 0.1 you get 0.04285714285 and then if you divide that by 5/21 you get 0.18 which equals 9/50 as a fraction
find the inequality represented by the graph?
Answer:
y>1/3x-3
Step-by-step explanation:
Answer:
Step-by-step explanation:
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{1}{3}[/tex]
y-intercept is (- 3)
y > [tex]\frac{1}{3}[/tex] x - 3
20c - 8d? need help kinda hard
Answer:
the answer is 4(5c-2d)
Answer:
20c-8d
Step-by-step explanation:
As long as you weren't any values for c or d, this expression cannot be simplified any further.
HTH :)
What is 2 ( 14+3) times 12 divided by 2?
Answer:
Step-by-step explanation:
If you can solve this for me, I'll give brainliest. It's due today please help
Answer:
free 25
Step-by-step explanation:
what is the value of x in teh equation 1/5x-2/3y=30, when y=15
Answer:
x=200Step-by-step explanation:
Given the equation
[tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
putting y=15
[tex]\frac{1}{5}x-\frac{2}{3}\left(15\right)=30[/tex]
[tex]\frac{1}{5}x-10=30[/tex]
add 10 to both sides
[tex]\frac{1}{5}x-10+10=30+10[/tex]
[tex]\frac{1}{5}x=40[/tex]
[tex]x=200[/tex]
Therefore, the value of x:
x=200[tex]5 +1[/tex] x [tex]10[/tex] = ?
Answer:
60
Step-by-step explanation:
Put in Parentheses.
(5 + 1) x 10 =
Solve numbers inside parentheses.
5 + 1 = 6
Now we have 6 x 10.
6 x 10 = 60
2 is 12.5& of the number
Answer:
if you ment to say 2 is 12.5% of what number the answer would be 16
Step-by-step explanation:
Write down what you know with x as the number you need to find.
Of is always "multiply"
Choose another way to write 12.5%
2 =12.5% of x
So 2 = 0.125xx
x= 2 *over*0.125
x=16
Answer:
x=16
Step-by-step explanation:
Let the number be x.
if they say 12.5% of a number, this means that 12.5/100 *x which will be :
12.5/100x
make it an equation (a true one)
12.5/100x=2
divide.
2 divided by 12.5/100x would be
x=16!
Cheers, I hope you can understand it well!