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]
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)
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 :)
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
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:)
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:
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
multiply (4u - 9s) (4u+ 9s)
Answer:
it would be 16u2-81s2 using a2-b2 formula
Find the slope of the line through the given points.
(10, 11) and (15, 16)
What is 2 ( 14+3) times 12 divided by 2?
Answer:
Step-by-step explanation:
Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
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:
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%.
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
If you can solve this for me, I'll give brainliest. It's due today please help
Answer:
free 25
Step-by-step explanation:
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.
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
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.
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 :)
[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
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
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!
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=200find 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
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!
2.0 PLZZ help thank you
Answer: So if you do 50 dollars - 70% you get, 15 U.S. dollars
Hope this helps :)
HELP ME FASTTTTTTTTTTTTTTTTTTTT
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
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°hidden cost of being a teacher?
Answer:
they have to pay for school supplies
Step-by-step explanation: