2.6x1.4=3.64
4.5x0.08=0.36
2x-4y=8 and 7x-3y=61 solve by substitution
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
1. Suppose that during its flight, the elevation e (in feet) of a certain airplane and its timet
in minutes since takeoff, are related by a linear equation. Consider the graph of this
equation, with time represented on the horizontal axis and elevation on the vertical
axis. For each situation, decide if the slope is positive, zero, or negative.
a. The plane is cruising at an altitude of 37,000 feet above sea level.
b. The plane is descending at rate of 1000 feet per minute.
c. The plane is ascending at a rate of 2000 feet per minute.
Answer:
A:zero
B:negative
C:positive
Step-by-step explanation:
the key words just tell you for A it was cruising B it was negative because descending and C is positive because ascending.
The correct explanation for the slope will be;
a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.
b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.
c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.
What is mean by Slope?
The slope of line is a measure of its steepness.
Given that;
During its flight, the elevation e (in feet) of a certain airplane and its time
in minutes since takeoff, are related by a linear equation.
In the graph, time represented on the horizontal axis and elevation on the vertical axis.
Now,
a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.
Because the plane is cruising.
b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.
Because the plane is descending.
c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.
Because the plane is ascending.
Thus, The correct explanation for the slope will be;
a) When the plane is cruising at an altitude of 37,000 feet above sea level, then the slope is zero.
b) When the plane is descending at rate of 1000 feet per minute, then the slope is negative.
c) When the plane is ascending at a rate of 2000 feet per minute. then the slope is positive.
Learn more about the slope visit:
https://brainly.com/question/16949303
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Blas y Raul se han colocado en línea recta en lados opuestos de un generador eólico para medir su altura el terreno es llano y los dos amigos están separados por 41 m cada uno desde su posición mide el ángulo con el que se ve el generador desde el suelo qué altura tiene el generador
Answer:
La pregunta esta incompletea porque no incluye el angulo de Raul y el angulo de Blas. Busque un ejemplo similar y encontre que el angulo de Blas es 60° y el de Raul es 45°. Suponiendo que ambos midieron el angulo desde el suelo:
tangente 60° = altura / (41 - d)
tangente 45° = altura / d
altura = (41 - d) · tangente 60° = (41 - d) · 1.73205
altura = d · tangente 45° = d · 1
d = 71.01408 - 1.73205d
2.73205d = 71.01408
d = 71.01408 / 2.73205 = 25.993 ≈ 26 metros
sustituimos:
altura = d · tangente 45° = 26 · 1 = 26 metros
La altura del generador es de 26 metros
Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)
o 45xy-220
o 15x-30y-220
o 15x+30y-220
o 15x+30y-64
Answer: C
Step-by-step explanation:
To make 5 blueberry pies,Mindy needs about 2 pounds of blueberries. How many pounds of blueberries does Mindy need to make 20 blueberry pies?
Answer:
so 5 pies is 2 pounds so 20 pies is 8 lbs of blueberries
Step-by-step explanation:
5 pies is 2 lbs
10 is 4 lbs
15 is 6 lbs
20 is 8 lbs of blueberries
Prove this is a parallelogram
Answer:
Four sided figure with opposite sides that are parallel
Step-by-step explanation:
Answer:
its too late now
Step-by-step explanation:
Please help! BRAINLIEST to correct answer!!
Answer:
2sqrt(14)*i
Step-by-step explanation:
(sqrt(-56))
since theres a negative in it we know there will be an i in the answer.
We need to find two numbers that multiple to 56 with at least one of them being a perfect sqaure
7*8 doesn't work
4*14 = 56
ok sqrt(4) = 2
can't take the sqaure of (14)
so we are left with
2sqrt(14)*i <---remember from before?
The price of a video game was reduced from $60 to $45.By what percent was the price of the video game reduced?
Answer:
25
percent
Step-by-step explanation:
If you buy a radio that cost $860 and sales tax is 6%. Find the total price you would pay.
Answer: $911.60
Step-by-step explanation: 860 time 6% is 911.60
Write in slope intercept form of the equation of the line parallel to y= -2x + 5 and that passes through the point (3,1)
Answer:
y = -2x + 7
Step-by-step explanation:
In a equation thats parallel to y = -2x + 5, we have the same slope but different y intercepts (b).
SO we plug in point (3, 1) into y = mx + b
y = -2x + b
1 = -2(3) + b
1 + 6 = b
b = 7
So just plug in b back into the equation
y = mx + b
y = -2x + 7
Answer:
Step-by-step explanation:
y= -2x + 7
using point-slope formula:
y - y1 = m(x - x1)
Substitute:
y - 1 = m(x - 3)
Now, what is m and how do we find it?
m represents the slope. To find the slope in this circumstance, we have to look at the equation that we were given in the problem.
y= -2x + 5
Since we are trying to find a line parallel to this equation, we will be using the same slope that this uses.
The slope in the equation is -2.
Let’s substitute -2 for m.
y - 1 = -2(x - 3)
Now distribute:
y - 1 = -2x +6
Add 1 to both sides:
y = -2x + 7
Now we have an equation in slope-intercept form that is parallel to y= -2x + 5 and runs through the point (3, 1).
A shop sells compost in 20 litre bags and in 40 litre bags.
One day the shop had two special offers for the compost
20 litres 40 litres
2 bags for £3.50 3 bags for £9
which offer is the better value for the money?
Answer:
2
Step-by-step explanation:
3.50/2 = 1.75 and 9/3= 3
so 2 bags for £3.50 is better than 3 bags for £9
I need help with slope
Answer:
Step-by-step explanation:
Slope means x there are many ways to find the slope like using the slope formula y2-y1/x2-x1 or using rise over run
Hope this help :)
Answer:
Rise over run
Step-by-step explanation:
So what the Rise is, is the point on which the line is persicly on point with they grid of your graph / how high also the distance on the y axis. The run is the how far also known as the x axis.
so if we had a slope of 2/3
it would be a posative slope it wod go up 2 and to the right 3 to the next intersection of the y ad the x axis'
Melvin gave the cashier $20 to pay for 3 T-shirts. The cashier gave him $5.03 in change. Each T-shirt cost the same amount. What is the cost in dollars and cents for each T-shirt?
Answer:
$4.99
Step-by-step explanation:
20 - 5.03 = 14.97
14.97 ÷ 3 = 4.99
If a:b =3:5 and a:c=3:7 find the value of a +b+c in terms of a
Answer:
a = 3
b = 5
c = 7
3 + 5 + 7 = 15
what is the value of f(x) when x= -3
Answer:f=-3
Step-by-step explanation:
13.47 rounded to a value that can divide into 3 easily
try 15? kwqjwkjjsjshejqjdwjejdjhwksjdwkjsekjrskjfkskdjeekjee
Can someone help with this plz:)
Answer:
Step-by-step explanation:
corresponding angles
Mr.Chen hires an electrician
Please help me with this question!!!!!!!
Answer: x=12
Step-by-step explanation:
The Pythagorean theorem is a²+b²=c². A and b are the legs, and c is the hypotenuse. Since we are only given the length of a leg and hypotenuse, we fill in what we have and solve for a.
a²+16²=20² [exponent]
a²+256=400 [subtract both sides by 256]
a²=144 [square root both sides]
a=12
Now, we know the missing leg, x=12.
How can we tell if the slope is positive or negative?
What makes a line steeper? What makes a line less steep?
What does a line with a slope of zero look like?
Answer:
I can tell you that a positive line is increasing to the right and a negative to the left.
Find the value of each trigonometric ratio.
A. 12/37
B. 37/12
C. 35/12
D. 35/37
what is the y-intercept of the line
1
1/2
-2
0
Answer: 0
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Because you see when x is 0 and it passes through 1
Look at coordinates (0,1)
Identify the function shown in this graph.
A.
y = 3x – 2
B.
y
=
1
3
x
−
2
y=
3
1
x−2
C.
y = –3x – 2
D.
y = 3x + 2
Answer:
I don't see a graph, but I graphed the lines in the attachment.
Step-by-step explanation:
See Attachment:
You and your friend skate at the same rate.You complete 5 laps in 7 minutes.How long does your friend take to complete 15 laps?
Answer:
21minutes
Step-by-step explanation:
its 21 minutes because 5x3=15 so 7x3=21
What is the image of (-3,9) after a reflection over the line y=x?
Answer:
(9, -3)
Step-by-step explanation:
You are essentially flipping it over a line so therefore you just flip your x,y coordinates.
Need help !
Surface area
Answer:
216
Step-by-step explanation:
Jamie did some push-ups on Monday and Tuesday. On Tuesday, he did 300 push-ups, which was three times the difference of the number of push-ups he did on Monday and the number 50. How many push-ups did he do on Monday?
Define the variable
Answer:
The answer is 150, because 300 / 3 = 100, and 100 + 150 = 150.
Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill? Check all that apply.
Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill? Check all that apply.
You probably forgot to mention the options. After a little research, I was able to get the complete question with the mentioned options you should have mentioned. The potential complete question is:
Ellen plans to leave an 18 percent tip with her $23.75 lunch bill. Which of these expressions could she use to determine her total bill?
Check all that apply.
(1.18)(23.75) 23.75 – [(0.18)(23.75)] 23.75 + [(0.18)(23.75)] (0.18)(23.75)
Answer:
The expression [tex]23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex] will determine her total bill.
Step-by-step explanation:
Total lunch bill = $23.75
As he pans to 18% tip of the total bill, so the expression will be:
[tex]=23.75\:+\:\left(\:18\%\:\:of\:\:23.75\:\right)[/tex]
[tex]=23.75\:+\:\left(\:\frac{18}{100}\:\times \:23.75\:\right)[/tex]
[tex]=23.75\:+\:\left(\:0.18\times \:23.75\:\right)[/tex]
or
[tex]=23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex]
Therefore, the expression [tex]23.75\:+\:\left[\left(0.18\right)\left(23.75\right)\right][/tex] will determine her total bill.
Answer:
(1.18)(23.75)
23.75 + [(0.18)(23.75)]
Step-by-step explanation:
ur welcome
The water level in a tank rises by 2/3 foot every 1/5 hour.at what rate is the water level rising
Answer: 10/3 every hour
Step-by-step explanation:
The rate the water level is rising is 3 feet and 4 inches per hour.
If you know the radius of a circle, how do you find its diameter?
Answer:
you need to double the radius
Step-by-step explanation:
Answer:
If you know the radius of the circle, double it to get the diameter
