Answer:
k ≠ 3
Step-by-step explanation:
Given the system of equation;
kx - y = 2 ------------------- 1
6x - 2y = 3 -------------------- 2
Rewriting the equations in the format ax+by+c = 0
Equation 1 becomes kx - y - 2 = 0
Equation 2 becomes 6x - 2y - 3 = 0
where a₁ = k, b₁ = -1 and c₁ = -2 and a₂ = 6, b₂ = -2 and c₂ = -3
For the system of equation to have a unique solution the following must be true;
a₁/a₂ ≠ b₁/b₁
Substituting the coefficients into the condition, we will have;
k/6 ≠ -1/-2
k/6 ≠ 1/2
Cross multiplying we will have;
2k ≠ 6
k ≠ 6/2
k ≠ 3
This means that k can be any other real values except 3 for the system of equation to have a unique solution.
There is a patch of lily pads on a lake. Every day, the patch doubles in size. If it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half of the lake?
Answer:
47 days
Step-by-step explanation:
Since the patch of pads doubles in size every day, the lake would be half covered just one day before it was covered entirely.
Can somebody please help me with this question
Answer:
B
Step-by-step explanation:
The football team gained 7 yards in the first play and lost 8 yards in the second play. Did they gain or lose yard? _____ How many? _____
Answer:
+7 -8 = -1
lost yard
lost yard by 1 yard
Step-by-step explanation:
The distance between two train stops is 220 miles. The train traveled at 3/4 mile per minute. How long will it take the train to reach its destination?
Answer:
4.8 hours
Step-by-step explanation:
Step one:
given data
The total distance= 220 miles
The velocity of the train= 3/4 mile per minute
Required
The time of travel
Step two:
we know that
velocity= distance/time
velocity= 220/3/4
let us multiply the numerator (220) by the inverse of the denominator(4/3)
velocity =220*4/3
velocity= 880/3
velocity= 293.3 minutes
in hours
= 293.3/60
= 4.8 hours
Marin spends 28% of her monthly income for a Loan payment. her loan payment is rupees 1,736. What is her monthly income?
Answer:
6200 rupees
Step-by-step explanation:
Think the monthly income x
According to the question
The equation is
x×28%=1736
x×28/100=1736
x=1736÷28/100
x=1736×100/28
x=62×100
x=6200
So monthly income is 6200 rupees
Answer:
[tex]6200\ Rupees[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\[/tex]
[tex]\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\[/tex]
Nate made 8 loaves of bread on Monday and 10 more on Tuesday. He gave an equal number to each of his 9 neighbors. How many loaves of bread did each neighbor receive?
Answer:
2
Step-by-step explanation:
8 + 10 = 18
18/9 = 2
PLS HELP WILL GIVE BRANLIEST PLUS 15 POINTS
jeff has 80 toy cars in his car collection. after his birthday jeff has 94 cars. calculate his percent increase
Answer: 80 - 94
Step-by-step explanation:
Solve the equation, showing each step of the solution.
1 (x – 10) = -4
Answer:
x=6
Step-by-step explanation:
x-10=-4 (Distribute)
x=6 (Inverse operations {Add 10 on both sides} )
X=6
April took out a $600 loan from the bank. At the end of 1 years, she pays back the principal, plus $12 simple interest. What was the interest rate?
Answer:
The interest rate r = 0.02 or 2%
Step-by-step explanation:
Given
P = $600
I = $12
t = 1 year
To determine
Interest rate = r
Using the formula
I=Prt
r = I / Pt
substituting I = 12, P = 600, t = 1
r = (12) / (600 × 1)
r = 12/600
r = 0.02
Thus, the interest rate r = 0.02 or 2%
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Answer:
x = 67
Step-by-step explanation:
180 - 113 = 67
Answer:
x=67 degrees
Step-by-step explanation:
113+x=180--->linear pair
x=67--->subtractioin property
triangle RST is translated 6 units to the left and 4 units up to create triangle R'S'T'.
Answer: (x,y) —> (x-6, y+4)
Step-by-step explanation:
Answer:
(x,y) —> (x-6, y+4)
Step-by-step explanation:
:)
Two more than 16 times a number is the same as 21
less than the product of -7 and the number.
Please show your work thank you
Answer:
2*16n = 21 -7n
Step-by-step explanation:
hope this helps :)
Lavinia is standing at point A(4,8, 2). This is the starting point of a mountain hike. The end of the hike is at point B(6, 12, 10). There is a rest stop half way between A and B.
1. Find the coordinates of the rest stop.
2. Find the total distance from A to B.
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
Answer:
1 a
Use the midpoint formula:
m=x1+x2/2, y1+y2/2, z1+z2/2
m= 4+6/2 ,8+12/2, 2+10/2
m= (5 ,10, 6)
Step-by-step explanation:
Approximately 60 percent of municipal solid waste in the United States is composed of some form of organic matter that could be composted. Every American generates approximately 2 kg of waste every day. The amount of compostable waste that could be generated by one individual in a week would be closest to
Answer:
8.4 kg
Step-by-step explanation:
First, find how much waste is created in a week:
Multiply 2 by 7, since they create 2 kg of waste each day:
2(7)
= 14 kg
Then, find 60% of this:
Multiply 14 by 0.6:
14(0.6)
= 8.4
So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg
The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage
Where:
Kg of waste=2kg
Number of days in a week=7 days
Municipal solid waste percentage=60% or 0.60
Let plug in the formula
Compostable waste amount=2kg×7 days×0.60
Compostable waste amount=8.4 kg
Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.
Learn more about compostable waste here:https://brainly.com/question/25342752
please answer I will give 20 and brainiest
Answer:
Option 4
Step-by-step explanation:
Coordinances for a three-dimensional coordinate system are (x, y, z).
The letter labeling each axis is always on the positive side.
The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.
PLEASE ANSWER! DOING A TEST!
25 points:
PLEASE HELP ASAP!!
how to graph and solve linear functions
how to solve g(x)=-3x-1
Answer:
I will explain the equation
in a graph, the slope will look like this
The Y Intercept is -1, and the slope is -3, as in it will go downward
For every 1x, the slope will go downward by 3.
whats the answer.......................
Answer:
D
Step-by-step explanation:
Cory is 5 times as far as kira. that makes it 5 times 5. tina is 5 times as far as cory. that makes it 5 times 5 times 5
Please answer this, I really need help!!!
Answer:
a. Juan
b. J(t) = A(t) at t = 7 minutes
c. J(t) > A(t) for the interval 0 ≤ t ≤ 7
Step-by-step explanation:
a. From the graph, Juan completes the 4-mile bike race in 13 minutes while Antonio completes the 4-mile bike race in 15 minutes, therefore, Juan completes the distance first and wins the race
b. From the graph, the line of the graph of the functions J(t) and A(t) are equal at the time t = 7 minutes
Therefore;
J(t) = A(t) at t = 7 minutes
c. The value of the function, and the line of the graph of the function, J(t) is larger than and above the value and the line of the graph of the function A(t) for the interval 0 ≤ t ≤ 7
PLZ HELP ITS URGENTTTT FIRST TO ANSWER WILL BE BRAINLIEST
3x³y²/9xypower 5
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answer:
It is 4x + 12
*BRAINIEST & 25 POINTS*
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Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
12x + 10x what is the awnser
Answer:
22x?
Step-by-step explanation:
is there more to this question? if not its just simple addition and then add "x" at the end
a rectangular prism is 5 in Long 8 inch wide and 10 inches tall what is the length of its longest diagonal
A term without a variable is called what?
Answer:
constants
are the term
Answer:
Constants
Step-by-step explanation:
I hope this is correct and have a great day
987600000 in the standard form (or scientific notation)
Answer:
The standard form of 987600000 is 9.876×10 power 8Step-by-step explanation:
Please mark my answer as a brainliest .Please follow me ❤❤❤❤Three bakers can each bake three
cakes in three hours. How many cakes can
8 bakers bake working at the same rate in
20 hours? Use the solve a simpler problem
strategy.
Answer:
i think its 20 cakes
Step-by-step explanation:
1 cake per hour
a=72, e= 13,m=93 t= 64 then k=?
full answer hope it helps please like and comment if you have some doubts