Answer:x=4 y=3
Step-by-step explanation:
Let's solve your system by substitution.
2x−1=y+4;3y+1=3x−2
Step: Solve2x−1=y+4for y:
2x−1=y+4
2x−1+−y=y+4+−y(Add -y to both sides)
2x−y−1=4
2x−y−1+−2x=4+−2x(Add -2x to both sides)
−y−1=−2x+4
−y−1+1=−2x+4+1(Add 1 to both sides)
−y=−2x+5
−y
−1
=
−2x+5
−1
(Divide both sides by -1)
y=2x−5
Step: Substitute2x−5foryin3y+1=3x−2:
3y+1=3x−2
3(2x−5)+1=3x−2
6x−14=3x−2(Simplify both sides of the equation)
6x−14+−3x=3x−2+−3x(Add -3x to both sides)
3x−14=−2
3x−14+14=−2+14(Add 14 to both sides)
3x=12
3x
3
=
12
3
(Divide both sides by 3)
x=4
Step: Substitute4forxiny=2x−5:
y=2x−5
y=(2)(4)−5
y=3(Simplify both sides of the equation)
Delaney is saving money in an account that offers 9% simple interest. She deposits 2000 from her grandmother into the account and makes no additional deposits or withdraws. How many years will it take to grow to 4,700
Answer:
15years
Step-by-step explanation:
Given data
Rate= 9%
Principal= $2000
Final amount= $4700
The simple interest formula is given as
A= P(1+rt)
Substitute
4700=2000(1+0.09*t)
4700= 2000+ 180t
4700-2000= 180t
2700=180t
t= 2700/180
t= 15 years
Hence the time is 15years
If K
3x2 + 5x – 6 and M
– 2x2
-
6x + 7 then K
M
equals
A
5x2 – 3 + 1
–5x2 – 3 + 1
C
5x2 + 11x – 13
D
– 5x2 – 11x + 13
Answer:
5
Step-by-step explanation:
sorry
Complete the double number to line show percentages of $50
Determine whether the polygons are similar.
Not Similar
Similar
Help will give brainlist
Answer:
4
Step-by-step explanation:
help me please, brainliested ;)
Answer:
Literally. can't help. you dude.
Classify the polynomial.
4y – 5xz
Answer:
4y-5xz has a degree of 2
Step-by-step explanation:
The degree of an expression the the largest degree of any of its terms.
The degree of a term is the sum of the exponents of the variables in that term.
4
y
=
4
y
1
has a degree of 1
5xz=5x1z1
has a degree of ( 1+1)=2
(5xz)
has a higher degree than
(4y)
Therefore the degree of the expression is the degree of
(5xz) , namely 2
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end
of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith
withdraw money from his account? Write your solution as an inequality with x as the variable. Round to the
nearest whole number if necessary
factor the polynomial completely f(x)=x^4-6x^3-8x+48;x-6
Answer:
Factor x^3+8x^2+6x+48. x3+8x2+6x+48 x 3 + 8 x 2 + 6 x + 48. Factor out the greatest common factor from each group.
The farmer brought 180 cabbage to the market.
When the day was over, he had 10% less cabbage.
How many cabbage does the farmer have left?
If x increases by 7 in each row of a table of values, and the first differences are all equal to 45.5, then the rate of change is:
a) 6.5
b) 455/7
c) 7/455
d) 318.5
Answer:
b i think
Step-by-step explanation: dont yell just tell me if i got it wrong if i did srry
The rate of change when x increases and the first difference equal to 45.5 is 6.5. Then the correct option is A.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope is given as
[tex]\rm Slope = \dfrac{Rise \ or \ fall}{Run}[/tex]
If x increases by 7 in each row of a table of values and the first differences are all equal to 45.5. Then the rate of change will be given by the slope.
[tex]\rm \\Slope = \dfrac{45.5}{7} = 6.5[/tex]
The rate of change is 6.5.
More about the slope link is given below.
https://brainly.com/question/3605446
Given line 1, with coordinates (-7,-3) and (4,7), and line
2 with coordinates (7,-7) and (-3, 4), find the slope of line 2
Answer:
-11/10 (fraction) or -1.1 (decimal)
Step-by-step explanation:
The slope formula is m=(y2-y1)/(x2-x1)
x1 = 7
x2 = -3
y1 = -7
y2 = 4
So, it’s: (4 - (-7))/(-3-7)
= (4+7)/(-3-7)
= (11)/(-10)
= -11/10 or -1.1
I hope this helps!
What type of figurative language is this: A very hot desert? Please explain!!
Answer:
literal
Step-by-step explanation:
The cost c in dollars of manufacturing x bicycles at a production plant is given by th function shown below C(x)=5x^2-1000x+63,500. How many bicycles must be manufactured to minimize the cost
Answer:
100 bicycle
Step-by-step explanation:
Given the cost c in dollars of manufacturing x bicycles at a production plant expressed as C(x)=5x^2-1000x+63,500.
x is the number of bikes
To minimize the cost, dC/dx = 0
dC/dx = 10x - 1000
Since dC/dx = 0
0 = 10x - 1000
-10x = -1000
x = 1000/10
x = 100
Hence the number of bicycles that must be manufactured to minimize the cost is 100 bicycle
For volunteers picked up letter from the park Dominic you collect and 15 for your pieces a litter than Sarah Sarah collect the 12 more pieces in piper piper collected 1/4 as many pieces of litter as Vaughn Vaughn has collected nine more pieces of wood or than everyone else combine the X represent the number of pieces of litter Vaughn Collection
So many confusing details. So, I rephrase the question as:
Four volunteers picked up litters from the park.
Dominic collect 15 pieces less than Sarah. Sarah collects 12 more pieces than Piper. Piper collected 1/4 as many pieces of letter as Vaughn. Vaughn has collected nine more pieces of letter than everyone else combined. Let x represent the number of pieces of litter in Vaughn's Collection. Find x
Answer:
[tex]x = 72[/tex]
Step-by-step explanation:
Let:
[tex]D = Dominic;\ \ S = Sarah;\ \ P = Piper;\ \ V = Vaughn[/tex]
From the [rephrased] question, we have:
[tex]D = S - 15[/tex]
[tex]S = 12 + P[/tex]
[tex]P = \frac{1}{4}V[/tex]
[tex]V = 9 + D + S + P[/tex]
Substitute [tex]S = 12 + P[/tex] in [tex]D = S - 15[/tex]
[tex]D = 12 + P - 15[/tex]
[tex]D = P+12 - 15[/tex]
[tex]D = P-3[/tex]
Make V the subject in [tex]P = \frac{1}{4}V[/tex]
[tex]V = 4P[/tex]
Substitute: [tex]V = 4P[/tex], [tex]D = P-3[/tex] and [tex]S = 12 + P[/tex] in [tex]V = 9 + D + S + P[/tex]
[tex]4P= 9 + P - 3 + 12 + P +P[/tex]
Collect like terms
[tex]4P - P -P-P= 9 - 3 + 12[/tex]
[tex]P= 18[/tex]
Substitute [tex]P= 18[/tex] in [tex]S = 12 + P[/tex]
[tex]S = 12 +18[/tex]
[tex]S = 30[/tex]
Substitute [tex]S = 30[/tex] in [tex]D = S - 15[/tex]
[tex]D = 30 - 15[/tex]
[tex]D =15[/tex]
Substitute [tex]D =15[/tex], [tex]S = 30[/tex] and [tex]P= 18[/tex] in [tex]V = 9 + D + S + P[/tex]
[tex]V = 9 + 15 + 30 + 18[/tex]
[tex]V = 72[/tex]
x represents the number collected by Vaughan.
So:
[tex]x = 72[/tex]
Pls help and hurry i will report if you answer any unnecessary answers.
Answer:
847.8 sq meters
Step-by-step explanation:
Formula:
A= 2πrh + 2πr^2
A= 2(3.14)(9)(6) + 2(3.14)9^2
A= 339.12 + 508.68
A= 847.8
Is it A) 5 or C) 1/5?
Answer:
5
Step-by-step explanation:
To solve the equation below, you would?
X – 70 = 135
A) add 70 to each side
B) subtract 70 from each side
C) multiply each side by 70
D) add 135 to each side
Step-by-step explanation:
step 1. x - 70 = 135
step 2. x = 205. add 70 to each side
(07.01 LC)
Choose the correct classification of 3x4 - 7x3 + 5x. (2 points)
Sixth degree polynomial
Third degree polynomial
Fourth degree trinomial
First degree binomial
Convert 29,000 mm2 into cm2
Answer:
290 cm2
Step-by-step explanation:
If ∆MNL ~ RSL, find the value of x
Answer:
x = 5
Step-by-step explanation:
NL/ML = SL/RL
(3x - 1)/28 = (x + 7)/24
24(3x - 1) = 28(x + 7)
72x - 24 = 28x + 196
72x - 28x = 196 + 24
44x = 220
x = 220/44
x = 5
The table below shows the number of people attending a charity event, x, and the total cost of hosting the event, y. Number of People (x) 2 3 4 5 6 7 Total Cost (y) $2,630 $2,695 $2,760 $2,825 $2,890 $2,955
Which linear function models this situation?
A. y = 2,630x + 65
B. y = 65x + 2,630
C. y = 2,500x + 65
D. y = 65x + 2,500
Dakota earned $11.25 in interest in Account A and $25.00 in interest in Account B after 15 months. If the simple interest rate is 3% for Account A and 5% for Account B, which account has the greater principal? Explain.
Which account has the greater principal? Select the correct answer below and fill in the answer boxes to complete your choice.
Answer:
Step-by-step explanation:
I=Prt
11.25=A(0.03)(15/12)
11.25=A(0.0375)
A=11.25/(0.0375)
A=$300
25=B(0.05)(15/12)
25=B(0.0625)
B=25/(0.0625)
B=$400
So account B has the greater principal.
Plz help me on this
Answer: Times 4
Step-by-step explanation:
The purple shape is 4 times bigger than the black shape.
What is the mean ?
I kinda need help
Answer:
7
Step-by-step explanation:
What is the area of the triangle?
A 96 cm2
B. 120 cm2
C. 192 cm2
D. 240 cm2
Answer:
D.)
Step-by-step explanation:
20x12=240
Just multiply
Find the value of x
Answer:
x= 3.5
Step-by-step explanation:
I have to find x but I am not sure how to?
Answer:
Supplementary angles add to 180
So, the angle supplementary to the angle of 112 degrees measures 68 degrees.
If these two lines are parallel, the angles are the same.
So, the triangle has angle measures: 2x, 68, and 68.
2x+68+68=180
2x=44
x=22
Let me know if this helps!
If x =3, y = -2 and z = 6, find the value of 7xyz
Answer:sin
(
330
)
csc
(
60
)
cos
(
390)
Step-by-step explanation:
Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $
Answer:
Monthly payment= $440.71
Step-by-step explanation:
Giving the following information:
Mothly interest rate (i)= 0.025/12= 0.00208
Number of periods (n)= 12*10= 120 months
Future Value (FV)= $60,000
To calculate the monthly payment, we need to use the following formula:
Monthly payment= (FV*i) / [(1+i)^(n) - 1]
Monthly payment= (60,000*0.00208) / [(1.00208^120) - 1]
Monthly payment= $440.71