Answers
Answer:
1) [tex]y=\frac{3}{2}x+8[/tex]
2)[tex]y=\frac{13}{11}x +\frac{12}{11}[/tex]
3)[tex]y=\frac{9}{7}x+1[/tex]
4)[tex]y=\frac{1}{3}x-2[/tex]
5)[tex]y=-\frac{6}{5}x-3[/tex]
6)[tex]y=4x-1[/tex]
7)[tex]y=\frac{11}{4}x-8[/tex]
8)[tex]y=\frac{11}{8}x+6[/tex]
Answer:
[tex]\sf 1) 3x-2y=-16[/tex]
subtract both sides by 3x:
[tex]\sf -2y=-16-3x[/tex]
[tex]\sf \cfrac{-2y}{-2} =\cfrac{3x-16}{-2}[/tex]
[tex]\boxed {\sf y=\frac{3}{2}x +8}[/tex]
________________
[tex]\sf 2) 13x-11y=-12[/tex]
Subtract 13x from both sides:
[tex]\sf 13x+11y-13x=-12-13x[/tex]
[tex]\sf \cfrac{-11y}{-11} =\cfrac{-12-13x}{-11-11}[/tex]
[tex]\boxed {\sf y=\cfrac{13}{11} \:x+\cfrac{12}{11} }[/tex]
___________________
[tex]\sf 3) 9x-7y=-7[/tex]
Subtract 9x from both sides:
[tex]\sf \cfrac{-7y}{-7} =\cfrac{9x-7}{-7}[/tex]
[tex]\boxed {\sf y=\cfrac{9}{7} \:x+1}[/tex]
___________________
[tex]\sf 4)x-3y=6[/tex]
Add 3y from both sides:
[tex]\sf x-3y+3y=6+3y[/tex]
[tex]\sf x=6+3y[/tex]
Subtract 6 from both sides:
[tex]\sf x-6=3y[/tex]
Divide both sides by 3:
[tex]\sf \cfrac{x}{3}-\cfrac{6}{3} =\cfrac{3y}{3}[/tex]
[tex]\sf \cfrac{1}{3} \:x-2=y[/tex]
[tex]\boxed {\sf y=\cfrac{1}{3} \:x-2}[/tex]
____________________
[tex]\sf 5) 6x+5y=-15[/tex]
Subtract 6x from both sides:
[tex]\sf \cfrac{5y}{5}=\cfrac{-6x-15}{5}[/tex]
[tex]\boxed {\sf y=-\cfrac{6}{5} \:x-3 }[/tex]
_____________________
[tex]\sf 6) 4x-y=1[/tex]
Subtract 4x from both sides:
[tex]\sf \cfrac{-y}{-1} =\cfrac{-4x+1}{-1}[/tex]
[tex]\boxed {\sf y=4x-1}[/tex]
_______________________
[tex]\sf 7)11x-4y=32[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-4y}{4} =\cfrac{-11x+32}{-4}[/tex]
[tex]\boxed {\sf y=\frac{11}{4} \:x-8}[/tex]
_______________________
[tex]\sf 8) 11x-8y=-48[/tex]
Subtract 11x from both sides:
[tex]\sf \cfrac{-8y}{-8} =\cfrac{11-48}{-8}[/tex]
[tex]\boxed {\sf y=\frac{11}{8} \:x+6}[/tex]
________________________________
Related Questions
In the diagram below, angle PNO is congruent to angle PQR. RO = 7.1, PQ = 11.1, and PR= 8.9. Find the length of QN. Round your answer to the nearest tenth if necessary.
Answers
Answer:
8.9
Step-by-step explanation:
7.1/8.9=Qn/11.1
QN = 8.9
{ Parallel lines divide in proportion to their segments }
The solution is 8.9
The length of the side of the triangle PNO is QN = 8.9
What are similar triangles?
If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be ΔPNO
Let the second triangle be ΔPQR
Now , ΔPNO ≅ ΔPQR
And , The corresponding sides of similar triangles are in the same ratio
So , substituting the values in the equation , we get
RO / PR = QN / PQ
On simplifying the equation , we get
7.1 / 8.9 = QN / 11.1
Multiplying both sides of the equation by 11.1 , we get
QN = ( 7.1 x 11.1 ) / 8.9
The value of QN will be
QN = 8.85
Rounding the value of QN to the nearest tenth , we get
QN = 8.9
Therefore , the value of QN is 8.9
Hence , The length of the side of the triangle PNO is QN = 8.9
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A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.
Which amount is closes to the interest earned on the account at the end of 15 years?
A. $5,174.11
B. $10,174.11
C. $3,637.50
D. $8,637.50
Answers
Answer: A
Step-by-step explanation: The student gathers an extra 5,174.11 with the interest.
The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
The formula for interest is written as,
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
A student’s parents invested $5,000 in q college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.
The amount close to the interest earned on the account at the end of 15 years is given as,
I = ($5,000 x 4.85 x 15) / 100
I = $3,637.50
The amount close to the interest earned on the account at the end of 15 years will be $3,637.50. Then the correct option is C.
More about the simple interest link is given below.
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Find the next three terms of the arithmetic sequence.
-14, -19, -24, . . .
Answers
Answer:
-29, -34, -39
Step-by-step explanation:
the numbers are going down by five each time.
-24-5=-29
-29-5=-34
-34-5=-39
Hope this helps!
Answer:
-29
Step-by-step explanation:
because -14 and -19 is minus 5
What is the value of s?
Answers
Step-by-step explanation:
it is given r=s
then, t =100.
2s+t=180°
2s=180-100
2s=80°
s=40° = r
hope this helps you.
The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.
What is the unit rate for the distance traveled to the amount of gasoline used?
Enter your answer in the box.
{?} mpg
Answers
9514 1404 393
Answer:
7 mpg
Step-by-step explanation:
The equation shown on the graph tells you the unit rate is 7. (The unit rate is the coefficient of x.)
The truck travels 7 miles per gallon of gas.
Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder
Answers
Answer:
c. tetrahedron
Step-by-step explanation:
Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
not have zero or negative exponents.
Answers
Answer:
A) [tex]x^{3} y^{4}[/tex]
B) [tex]-\frac{5x^{2} }{y}[/tex]
C) [tex]9m^{4}n^{4}[/tex]
D)[tex]\frac{1}{x^{3} }[/tex]
Step-by-step explanation:
Hope this helps.
A motorcycle can go 75 miles using one gallon of gas. About how many gallons of gas will be used to go 200 kilometers?
(Note: 1 mile is approximately 1.6 kilometers.)
Group of answer choices
A. 1 gallon
B. 2 gallons
C. 3 gallons
D. 4 gallons
Answers
Answer:
option d
hope it will help u
Answer:
I think its 2 gallons I'm soooo sorry i got it wrong
Solve the math problem
Answers
Answer: Slopes
Step-by-step explanation:
1. slope is [tex]\frac{4}{3}[/tex]
2. slope is [tex]\frac{1}{2}[/tex]
3. Slope is [tex]\frac{4}{2}[/tex] or 2
4. slope is [tex]\frac{3}{2}[/tex]
jamal plans to save for a new scooter that costs 48 dollars. the sales tax rate is 5% how much will jamal need to save
Answers
Use either direct or synthetic substitution to evaluate the following:
f(x)=2x2-3x2+2x-5 for f(3).
Answers
need help on proportions question urgently!!!!!!
Answers
Answer:
SSS~
RQP
Step-by-step explanation:
36/15 = 2.4
48/20 = 2.4
72/30 = 2.4
Triangles are similar by SSS~.
triangle JKL is similar to triangle RQP
Find the slope of the line that passes through (19, -9) and (70, 68).
Simplify your answer and write it as a proper fraction, improper fraction, or integer. Quick please
Answers
Answer:
The slope of the line would be 77/51 or 1.5098 if you convert it.
Step-by-step explanation:
Slope is rise over run so you find the difference between the Ys which is 77 and that's your rise so it's the top. You then find the difference btween the Xs and its 51 and that's your run so it's the bottom.
Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle
Answers
Answer:
parallelogram
hexagon
octagon
rectangle
Step-by-step explanation:
Answer:
parallelogram
hexagon
octagon
rectangle
Please answer this question it would make my day and I’ll give brainliest! it’s a math homework question Im stuck on):
Answers
Answer:
Step-by-step explanation:
It is actually fairly simple; just multiple the percentage by the total students, 10.
Cat, Dog: 10% of 10 is 1.
Cat, No Dog: 30% of 10 is 3.
Cat Total: 1+3 = 4.
No Cat, Dog: 40% of 10 is 4.
No Cat, No Dog: 20% of 10 is 2.
No Cat Total: 4+2 = 6.
Dog Total: 4+1 = 5.
No Dog Total: 3+2 = 5.
I will give Brainliest to the first person
Answers
Answer:
x^3
Step-by-step explanation:
3. Due to leakage, 30% of the water was lost from a water tank. If
only 340 liters of water is left in the tank now, find the total
capacity of the water tank?
HELPP
Answers
Answer:
1133.3 liters of water after leakage.
Step-by-step explanation:
x*.30=340
x=340/.30
x=1133.33
The total capacity of the water tank is 1133.33 liters of water after leakage.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We have given Due to leakage, 30% of the water was lost from a water tank. If only 340 liters of water is left in the tank now, then we need to find the total capacity of the water tank.
x*.30 = 340
x = 340/.30
x = 1133.33
Hence, the total capacity of the water tank is 1133.33
Learn more about the unitary method;
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Help me with this pls!!!
Answers
an algebraic expression that represents the product of r cubed and one hundred seven.
Answers
Answer:
107r³
Step-by-step explanation:
Jayla reads 35% of her book over 7 days. If Jayla reads the same number of pages each night, how many more days will it take her to finish her book?
Answers
Answer:
13 days
Step-by-step explanation:
Amount of book left = 100% - 35% = 65%
If 35% requires 7 days,
65% requires x days.
Using the 'cross the heart' or 'cross multiplication' method:
35x = 7 * 65
x = (7 * 65)/35
= 455/35
= 13
Hence, it would take 13 more days to complete the book.
Hope this helps and be sure to have a great time ahead at Brainly! :D
If a student (represented by initials) was chosen at random, find P(HH|C').
P(HH|C') = 3/5
P(HH|C') = 1/2
P(HH|C') = 2/5
P(HH|C') = 9/16
Answers
Answer: the answer is P(HHlC') = 1/2
Step-by-step explanation:
What is the domain of the relation {(0,4), (4,9), (5,2), (10,4)}
a. 0, 2, 9, 10
b. 0, 2, 4, 10
c. 0, 4, 9, 10
d. 0, 4, 5, 10
Answers
Answer:
The domain is the set of all the values of x .
The range is the set of all the values of y.
Domain:
{0,4,5,10}
Range:
{4,9,2}
Step-by-step explanation:
your answer is is from an algebra solver called mathwey but an a instead of an e it solves everything i promise i use it all the time
Nick has $50. He just got a job as a construction worker making $10 an hour. He wants to earn enough money to buy himself a new cell phone, valued at $900. If x represents the number of hour he works, write an inequality to represent this situation. What is the minimum number of hours must he work to buy the phone?
Answers
Answer:
900[tex]\geq[/tex]50+10x; At least 85 hours
Step-by-step explanation:
Nick must make at least 900 dollars, so the amount he has + earns must be greater than or equal to 900 in order to walk out of the store with it.
50 is the amount that Nick already has, and add that to 10x, which gives $10 for every x hour.
To solve, subtract 50 from each side.
850[tex]\geq[/tex]10x
Divide by 10 to solve for x:
85[tex]\geq[/tex]x
Nick must work at least 85 hours.
Solve: 6x + 9 - x = 3x + 9 + x
A) One solution
B) Infinite solution
C) No solution
Answers
Answer:
A one solution
Step-by-step explanation:
What are the two solutions of the equation x² – 14x - 32 = 0?
Answers
HI how was your day today
Write the converse of the conditional statement below.
If angle 2 and angle 3 are vertical angles, then angle 2 is congruent to angle 3.
Answers
I need the equation and the answer please it’s due tonight
Answers
Answer:
The answer is 27.15
this is your equation to your answer step by step
4.40+ 3.25=
7.65
7.65+3.25=10.9
10.9+3.25=14.15
14.5+3.25=17.4
17.4+3.25=20.65
20.65+3.25=23.9
23.9+3.25=
5.) Dynasti works in a department store selling clothes. She makes a guaranteed salary of
$1250 per week and is paid a commission of 15% of her sales. Write an equation to model the
situation
How much money will Dynasti make if she sells $4,000 worth of clothing?
Answers
Answer: y = .15x + 1250
y = weekly salary
x = sales
Step-by-step explanation:
i will give brainliest please help
Please help. Point M is the mid-point of PQ. The coordinates of P and M are given below. M (5, -2) and P (11, -10) Based on the information given, what is the coordinates of Q?
Answers
Answer:
Q(-1 , 6)
Step-by-step explanation:
Midpoint M(5 , -2)
[tex]Midpoint = \left(\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2} \right)\\\\P(11 , -10) \ ; x_{1} = 11 \ & \ y_{1}=-10\\\\\left(\dfrac{11+x_{2}}{2},\dfrac{-10+y_{2}}{2}\right)= \left( 5 , -2 \right )\\\\\dfrac{11+x_{2}}{2}=5 \ ; \dfrac{-10+y_{2}}{2}=-2[/tex]
11 + x₂ = 10 ; -10 + y₂ = -4
x₂ = 10 - 11 ; y₂ = - 4 + 10
x₂ = -1 ; y₂ = 6
Q(-1 , 6)
the coordinates of point Q is (-1,6)
Write a quadratic function [tex]f[/tex] whose only zero is 12.
Answers
Answer:
f(x) = (x - 12)²Step-by-step explanation:
If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.
The function could be:
f(x) = (x - 12)²We know the rule for single zero of quadratic equations
[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]
[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]
Done