Answer:
Step-by-step explanation:
-9x + 6y = -30
-7x + 12y = -16
18x - 12y = 60
-7x + 12y = -16
11x = 44
x = 4
-36 + 6y = -30
6y = 6
y = 1
(4,1)
Answer:
(4,1)
Step-by-step explanation:
-9x + 6y = -30.............(1)
-7x + 12y = -16 ............(2)
(2) - 2(1)
-7x+12y - 2(-9x+6y) = -16 - 2(-30)
simplify
11x = 44
or
x = 4 .......................(3a)
substitute (3) in (1)
-9(4) + 6y = -30
6y = -30 + 36
6y = 6
y = 1 ......................(3b)
Using results from (3a) and (3b), we have
solution : (4,1)
which set of steps will translate f(x)=6x to g(x)=6x-5-7
THIS IS THE COMPLETE QUESTION BELOW;
Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?
Shift f(x) = 6x five units to the left and seven units up.
Shift f(x) = 6x five units to the right and seven units down.
Shift f(x) = 6x seven units to the right and five units up.
Shift f(x) = 6x seven units to the left and five units down.
Answer:
Shift f(x)=6x five units to the left and seven units down.
Step-by-step explanation:
We are told to translate the function below
f(x) = 6x to g(x) = 6x – 5 – 7
Which means the process to translate f(x) into g(x) is required.
According to the translation rule
f(x)-------->f(x)+a
If a<0 it shift to downward
If a>0 it shift to upward
Then we have
(X,y) ----->((x - 5, y)
There is a shift by x coordinates towards left by 5 units
then we would have the function as
f'(x) = 6(x-5)
Following the translation rule there is a shift by the function by 7 units downward direction then we have
(x,y) ----->(x,y -7)
Then we have g(x) = 6x – 5 – 7 as our translation product.
Therefore, shift f(x)=6x five units to the left and seven units down.
Harry took a loan from the bank. D represents Harry's remaining debt (in dollars) after t months. D = -200t + 9000 What was the size of Harry's loan? Please HELPPP Im not allowed to stand up from my chair until i finish this and i've been at it for 1 HOUR PLEASEEEEEEEEEE thank you so much to who ever answers this YOU ARE THE BESTTTTTTT
Answer:
9000
Step-by-step explanation:
the inital ammout which is 9k is the size of the loan
-200 because he years 200 dollars per month
but the start up number is 9000 and he repays the load at 200 dollars a month
If the measure of a tangent-chord angle is 68°, then what is the measure of the intercepted arc inside the angle?
Answer:
113°,
Step-by-step explanation:
tangent - chord angle is 68°,Answer:
112°
Step-by-step explanation:
1/2(248 - 112) = 68
2 equations with 2 unknowns
x = intercepted arc, y = rest of the circle
x + y = 360
1/2 (y - x) = 68
1/2 ((360 - x) - x) =68
360 - 2x = 136
224 = 2x
112 = x
i need help with this please
Answer:
supplementary
Step-by-step explanation:
Since a and b form a straight line, they will add to 180 degrees
Two angles that add to 180 degrees are supplementary angles
simplify √16n/m^3 1. 4√mn/n^2 2.4√mn/m 3.√mn/4m 4. 4√mn/m^2
Answer: [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .
Step-by-step explanation:
The given expression: [tex]\sqrt{\dfrac{16n}{m^3}}[/tex]
'
since [tex]16=4^2[/tex]
[tex]m^3=m^{2+1}= m^2\times m[/tex] [[tex]a^{n+m}=a^n\times a^m[/tex]]
Now, the given expression becomes,
[tex]\sqrt{\dfrac{4^2n}{m^2\timesn}}=\dfrac{4\sqrt{n}}{m\sqrt{m}}[/tex]
Since there is root in denominator , so we need to rationalize
[tex]\dfrac{4\sqrt{n}}{m\sqrt{m}}\times\dfrac{\sqrt{m}}{\sqrt{m}}=\dfrac{4\sqrt{mn}}{m\times\sqrt{m}\times\sqrt{m} }\\\\=\dfrac{4\sqrt{mn}}{m\times m}\\\\=\dfrac{4\sqrt{mn}}{m^2}[/tex]
Hence, the correct option is [tex]4.\ \ \ \dfrac{4\sqrt{mn}}{m^2}[/tex] .
17. Mary bought 10 quarts of juice at the
grocery. How many gallons of juice did
she buy?
A 1.4 gal
C 3.5 gal
B 2.5 gal
D 4.5 gal
Pls help
Answer:
B 2.5 Gal
Step-by-step explanation:
Answer:
I think the correct answer may be B.
Step-by-step explanation:
Jennifer wants to see if the color of the testing room causes test anxiety. She asks 100 participants to come to a modified classroom, and as they walk in, she asks each person to choose either a testing cubicle painted bright red or a testing cubicle painted off white. On the basis of their choices, participants spend 20 minutes in one or the other cubicle solving challenging math problems. Then, they complete a survey asking them questions about how anxious they were during the math test. What's wrong with Jennifer's experiment?
Answer: Jennifer didn't randomly assign participants to the control and experimental group.
Step-by-step explanation: In the scenario discussed above, Jennifer failed to perform a random assignment of the participants who took part in the survey, that is the experimental group, those who receive the treatment and the control group, those who don't. Random assignment is required in other to address the issue of bias in our experiment. She was supposed to perform a random assignment of the participants to the two groups instead of asking them to make a choice.
The sum of a number and 9 is seven less than the product of the number and 4. What is the number?
Answer:
10
Step-by-step explanation:
let n represent the number
sum means to add
product means multiply
n + 9 < n • 4
if you fill in 10 for your variable n you will get:
19 < 40
10 plus 9 is 19
10 by 4 is 40
and
because 19 is less than 40 that statement is true
Yesterday, a factory used (2)/(3) of a tub of peanut butter. They use 16 of a tub of peanut butter for each batch of peanut butter cookies. How many batches of peanut butter cookies did the factory make yesterday? help!
Answer:
4 batches
Step-by-step explanation:
1/3=2/6, 2/3=4/6
Please answer this question now
Answer:
39°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent:
m∠XWY = 90°
So:
90° + 58° + x - 7° = 180°
141° + x = 180°
x = 39°
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Option C
Step-by-step explanation:
=> [tex]729x^6+y^6[/tex]
=> [tex](9x^2)^3+(y^2)^3[/tex]
Using Formula [tex]a^3+b^3 = (a+b)(a^2-ab+b^2)[/tex]
=> [tex](9x^2+y^2)[(9x^2)^2-(9x^2)(y^2)+(y^2)^2][/tex]
=> [tex](9x^2+y^2)(81x^4-9x^2y^2+y^4)[/tex]
So, these are the two factors of the expression!
The sales tax on clothing in Nebraska is 5.5%. Calculate how much tax you need to pay on a shirt if it costs $18.20 before tax. Round your answer to the nearest cent. ( pls answer asap and thanks ) will give BRANLIEST
Answer:
$1.00
Step-by-step explanation:
The tax rate in Nebraska = 5.5%
Cost of the shirt before tax = $18.20
Therefore:
Tax to be paid = 5.5% of $18.20
[tex]=0.055 \times \$18.20\\=\$1.00 $(correct to the nearest cent)[/tex]
The amount you need to pay as tax is $1.00.
A shopkeeper sold an article at 20 % discount and made a loss of Rs 90. If he had
sold it at 5 % discount, he would have gained Rs 90. Find the cost price and the
marked price of the article.
Answer:
The cost price of the article is Rs 1050
The marked price of the article Rs 1200
Step-by-step explanation:
The given discount on the article = 20%
The amount loss = Rs 90
With a discount of 5% the amount gained = Rs 90
Let the cost price of the article = X
Let the marked price of the article = Y
Therefore, we have;
(1 - 0.2) × Y = X - Rs 90
(1 - 0.5) × Y = X + Rs 90
Which gives;
0.8·Y = X - Rs 90 .......................(1)
0.95·Y = X + Rs 90.....................(2)
Subtracting equation (1) from equation (2), we have;
0.95·Y-0.8·Y = X + Rs 90 - (X - Rs 90) = X - X + Rs 90 + Rs 90 = Rs 180
0.15·Y = Rs 180
Y = Rs 180/0.15 = Rs 1200
Therefor, the marked price of the article = Rs 1200
From;
0.8·Y = X - Rs 90, we have;
0.8×Rs 1200 = X - Rs 90
X = 0.8× 1200 + 90 = Rs 1050
Therefore, the cost price of the article = Rs 1050.
What the answer fast now
Answer:
TW = 3.2 yd
Step-by-step explanation:
In the picture attached,
Triangle TWV has been given with angle W = 90°
By applying Sine rule in the given right triangle,
Since, Sine of an angle is the ratio of its opposite side and hypotenuse (side opposite to the right angle)
SinV = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
SinV = [tex]\frac{\text{TW}}{\text{TV}}[/tex]
Sin(32)°= [tex]\frac{\text{TW}}{6}[/tex]
TW = 6.Sin(32)°
TW = 3.1795
TW = 3.2 yd
Therefore, measure of the side TW = 3.2 yd.
3-(x-3)=25 solve the equation
Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
Lisa flies from San Francisco to New York (2500 mi) in 5 hours and then flies from New York to Rome (3487.5 mi) at 465 mph. What is the average speed for her entire trip?
Answer:
443.1305
Step-by-step explanation:
1 mile=0.869 nautical miles
1 mph=0.869 knots
Average speed=Distance/time
Average speed=2172.5/5
=434.5
404.09=3487.5/hours
=8.6305
434.5+8.6305
=443.1305
Determine what type of model best fits the given situation:
A model rocket fired straight up from the ground, where h is the height of the rocket and t is the time in seconds.
Answer:
Ok, i will suppose the situation that:
The rocket has a constant speed S (So the acceleration of the rocket is equal in magnitude, but opposite in direction, to the gravitational acceleration)
Here we can remember that:
Velocity = distance/time.
Then if the distance is the height of the rocket, we can write this as:
H = velocity*time
h = S*t
This is a linear model that represents the height of the rocket as a function of time.
Case 2:
The rocket is fired with an initial velocity v0, but no acceleration:
In this case the only acceleration acting on the rocket is the gravitatonal acceleration pulling the rocket down, so the acceleration is:
a = -g
To get the velocity as a function of time, we should integrate:
a = -g*t + v0
To get the height as a function of time, we integrate again:
h(t) = (-g/2)*t^2 + v0*t + p0
Where p0 is the initial position of te rocket, but the rocket starts at the ground, so p0 = 0m.
The height as a function of time is:
h(t) = (-g/2)*t^2 + v0*t
This is a quadratic equation.
Name an inscribed angle
Answer:
BHF
Step-by-step explanation:
Definition of inscribed
Select the correct answer. Which equation represents a line that is perpendicular to line FG?
Answer:
Hey there!
Equation of Line FG: [tex]y=\frac{1}{2} x+3.5[/tex], because the slope (rise over run) is 2 and we see that the y intercept is 3.5.
Equation to a Line Perpendicular to FG: [tex]y=-2x-3\\[/tex], because the equations of perpendicular lines have the same (but could also be different y-intercepts), and opposite reciprocal slopes.
Let me know if this helps :)
Answer:
C)
Step-by-step explanation:
f(-5,1) & G(9,8)
Slope of FG = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
= [tex]\frac{8-1}{9-[-5]}=\frac{7}{9+5}\\\\[/tex]
[tex]\frac{7}{14}\\\\=\frac{1}{2}[/tex]
Slope of line perpendicular to FG = -1/m = -1/(1/2) = -2
Equation of line in slope intercept form : y = mx + b
m = - 2
So, option c will be the equation of the line perpendicular to FG
Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $63fare among the x of them. Angela also paid a $8tip. How much did Angela pay in total? Write your answer as an expression
1.if tip included in fare, total amount paid by Angela =(55$/x) +8$
if tip is not included in fare than total amount paid by angela = (63$/x)+8$
Explanation :-
According to qus
Total friends included Angela = x
Total fare paid by them =63$
If tip included in total fare, than total fare without tip=63-8
= 55$
Sothat,
amont paid by individual =total fare /total friends. 55$/x
If tip not include in total fare than total amount paid by individual =63$/x
Solve the proportion for X.
5/2.5=
X/2
1
4
5.5
6.25
Answer:
[tex]\large \boxed{X = 4}[/tex]
Step-by-step explanation:
5/2.5 = X/2
To solve a proportion, use the following equation:
(numerator * opposite denominator) = (numerator * opposite denominator)
Substitute in given numbers
(5 * 2) = (X * 2.5)
Multiply to simplify
10 = 2.5X
Divide both sides of this equation by 2.5
[tex]\large \boxed{X = 4}[/tex]
Hope this helps :)
the slope of the line below is -5 which of the following is the point slope form of the line (4,-8)
Answer:
y + 8 = -5(x - 4).
Step-by-step explanation:
In this case, y1 = -8, x1 = 4, and m = -5.
y - (-8) = -5(x - 4)
y + 8 = -5(x - 4).
Hope this helps!
A ________ is a summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.
Answer:
standard deviation
Step-by-step explanation:
A standard deviation summary description of a fixed characteristic or measure of the target population. It denotes the true value that would be obtained if a census rather than a sample was undertaken.
Which is the heaviest of these weight : 1/2 kg , 0.6kg, 125g, 475g
Answer:
0.475 kg
Step-by-step explanation:
1/2 kg = 0.5 kg
125g = 0.125kg
475g = 0.475kg
grams are lighter than kg and 0.5kg,0.125g, and 0.6kg are all lighter than 0.475kg
hope this helps!
Answer:
0.6 kg
Step-by-step explanation:
The easy way to find out the answer is to bring all into same unit:
1/2 kg= 1/2*1000 g= 500 g0.6 kg = 0.6*1000 g= 600 g125 g475 gComparing all four we see the greatest number is 600, so the answer is :
600 g or 0.6 kg is the heaviest weightThree bells toll at an interval of 4,5 and 6 second .after how much time will they toll together
Answer:
after 60 seconds = 1 minute ,they will together for the first time.
Step-by-step explanation:
Three bells toll at an interval of 4,5 and 6 second.
They will ring together at the time which will be the multiple of all the three time interval (i.e 4,5,6)
4 = 2*2
5= 5*1
6 = 2*3
LCM of these three number will be multiple of highest power of each prime number
highest power of 2 in the above problem 2^2
3 = 3
5 = 5
Thus, LCM 2^2 * 3*5 = 60
Thus, after 60 seconds they will together for the first time.
Then they will toll together after each interval of 60 seconds together.
A number is 30% of 20% of the number x.
Answer:
6/100x
Step-by-step explanation:
Answer:6/100x
Step-by-step explanation:
Equity, by definition, is:
O A. the quotient of current value and amount owed.
O B. the sum of current value and amount owed.
O C. the difference between current value and amount owed.
O D. the product of current value and amount owed.
SUB
Answer:
the correct answer is the product of current value and amount owed
Equity is correctly defined as the difference between current value and amount owed.
What is equity?Equity is defined as an interest (ownership interest) in property that may be offset by debts or other liabilities. Equity is measured for accounting purposes by subtracting liabilities from the value of the assets owned
Given is to find the definition of Equity from the given ones.
Equity is correctly defined as the difference between current value and amount owed.
Therefore, Equity is correctly defined as the difference between current value and amount owed.
To solve more questions on Equity, visit the link below-
https://brainly.com/question/28336002
#SPJ7
I need the answer to this please!
Answer:
106
Step-by-step explanation:
Sum of angles around a point = 360 degrees
Sum of given angles = 164+90 = 254
Thus, the value of x is the angles remaining from 254 to make 360
360-254 = 106
Hope this helps
Good luck
Answer:
106
Step-by-step explanation:
164+90=254
360-254=106
Ajar contains 45 red candies and 60 black candies. Suppose a candy is selected
at random. What are the odds against selecting a red candy?
Answer:
its 55
Step-by-step explanation:
45-100=55( trust me its right.)
Answer:
9/21
Step-by-step explanation:
total there are 105 candies, 60+45
45 are red so 45/105
simplified 9/21
Gwen participates in an online rewards program.She earns points for completing surveys. Gwen earns 10 points for each survey she completes,and she wants to predict the total number of points that she will earn based on the number of surveys that she completes. Which quantities in this situation have more than one possible value? Choose All That apply.
The number of surveys Gwen completes.
The number of points Gwen earns for completing each survey.
The total number of points Gwen earns.
Answer:
Step-by-step explanation:
Hello,
For each survey that Gwen completes she earns 10 points.
So the number of points Gwen earns for completing each survey is 10 and there is only one value.
If x is the number of surveys Gwen completed, her number of points is 10 multiplied by x.
The number of surveys Gwen completes can have several values.
And then, the total number of points Gwen earns can have several values too.
So you need to choose
The number of surveys Gwen completes.
and
The total number of points Gwen earns.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you