Step-by-step explanation:
If two lines have the same slope and the same y-intercept, there are infinite solutions.
If two lines have the same slope and different y-intercepts, there are zero solutions.
Otherwise, if the two lines have different slopes, then there is one solution.
The slope of the first line is 3/8. The slope of the second line is 16/32 = 1/2. The slopes are different, so there is only one solution.
The solution of the given system of equations is (x, y) = (8.75, 2).
What is a Linear equation of two variables?These are the system of equations with two variables having a no solution, unique solution or infinitely many solutions.The highest order of the equation for this systems is one.Given: System of equations
3x - 8y = 10 …(1)
16x - 32y = 75 …(2)
Consider equation (2).
⇒ 16x - 32y = 75
Dividing both sides by 16, we get:
⇒ x - 2y = 75/16
⇒ x = 2y + 75/16 …(3)
Now, substitute the value of x = 2y + 75/16 in equation (1), we get:
⇒ 3(2y + 75/16) - 8y = 10
⇒ 6y + 225/16 - 8y = 10
⇒ 2y = 225/16 - 10
⇒ 2y = (225 - 160)/16
⇒ 2y = 65/16
⇒ y = 65/32
⇒ y ≈ 2
Now, put the value of y = 65/32 in equation (3), we get:
⇒ x = 2(65/32) + 75/16
⇒ x = (65/16) + (75/16)
⇒ x = 140/16
⇒ x = 8.75
Therefore, the solution for the given simultaneous equation is;
(x, y) = (8.75, 2)
Learn more about the Linear equations of two variables here: https://brainly.com/question/13052704?referrer=searchResults
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I need help please help me
Answer:
22/3
Step-by-step explanation:
a ÷ (b/c) = (a*b) ÷ c
[tex]\frac{2}{\frac{3}{11} } = \frac{2*11}{3} = \frac{22}{3}[/tex]
Answer:
[tex]7\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2}{\frac{3}{11} } \\\\\mathrm{Apply\:the\:fraction\:rule}:\\\quad \frac{a}{\frac{b}{c}}=\frac{a\times\:c}{b}\\\\=\frac{2\times\:11}{3}\\\\\mathrm{Multiply\:the\:numbers:}\:2\times\:11=22\\=\frac{22}{3}\\\\22\div 3 =7\: remainder 1\\\\= 7\frac{1}{3}[/tex]
HELP ME PLS explain why
Answer: 110 square cm
=======================================================
Explanation:
All sides of a regular polygon are the same length. So the bottom side is also 8 cm.
Draw lines from the center to each vertex of the pentagon. Five triangles form. Each triangle has a base of 8 and a height of 5.5 (since all five triangles are congruent)
area of one triangle = 0.5*base*height = 0.5*8*5.5 = 22
area of five triangles = 5*(area of one triangle) = 5*22 = 110
Which of the following is a zero-dimensional geometric object?
A. A ray
B. A point
C. A line
D. A plane
Answer:
a point
Step-by-step explanation:
Answer
A point.
Step-by-step explanation:
[50pts] In the image above, are lines s and r parallel? Explain.
Answer/Explanation:
Yes, lines s & r are parallel, because they do not meet at any point on the plane!
Please mark brainliest!!! =D...Also, it says 25 points, not 50...
Answer:
yes! lines s and r are parallel meaning they will never touch.
Step-by-step explanation:
(7x+2y)^2-25y^2 factorise this pls.
pls help me!! Any body there!!
Answer:
(7x + 5y) (7x - 5y)
The length of a rectangular room is 8 feet more than twice the width. If takes perimeter of the room is 124 feet, what are its dimensions?
Hey there! I'm happy to help!
Let's call the length and width L and W respectively.
L=2W+8
2W+2L=124
We plug our value of L into the second equation and solve for W.
2W+2(2W+8)=124
We undo the parentheses with the distributive property.
2W+4W+16=124
Combine like terms.
6W+16=124
Subtract 16 from both sides.
6W=108
Divide both sides by 6.
W=18
We plug this W value into the first equation to solve for L.
L=2(18)+8
L=36+8
L=44
So, the length is 44 feet and the width is 18 feet.
Have a wonderful day! :D
40. A pendulum in a museum swings through
an angle of 60° in 17.3 s. The linear velocity
of the pendulum is 1.32 ft/s. Determine the
length of the pendulum.
Answer:
21.81 ft
Step-by-step explanation:
For an arc of measure α and radius r, the arc length is ...
s = r·α . . . . . . where α is in radians
Then the linear speed is ...
s' = r·α'
Here the rate of change of arc angle is (π/3)/(17.3) rad/s, so the radius can be found to be ...
r = s'/α/ = (1.32 ft/s)/((π/3)/17.3 rad/s) = 1.32·3·17.3/π ft
r ≈ 21.81 ft
The length of the pendulum is about 21.81 feet.
Is there a transformation that maps shape 1 into shape 5
Answer:
yes
Step-by-step explanation: if you reflect the shape over the x-axis it falls right onto #5
Hope this helps :)
D
Question 4
True or False:4.65 is less than square root 32 is
True
False
Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a child ticket. Julie's family spends $35.75. What is the cost of the adult ticket?
HELP PLS
Answer:
$9.25
Step-by-step explanation:
let x = the cost of a child ticket
3(x)+2(x+3.50)=35.75
3x+2x+7=35.75
5x=28.75
x=5.75 cost of child ticket
5.75+3.50= 9.25
Answer:
$9.25
Step-by-step explanation:
Start by multiplying 2 by 3.5. This will give you 7. Then subtract 7 from 35.75, which gives you 28.75. This is the full amount for five child tickets. Then you want to divide 28.75 by 5, giving you 5.75. This is the amount for a single child ticket, and because we know that an adult ticket is 3.50 more than a child ticket, you add 3.50 and 5.75, which gives you your final answer of 9.25.
Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ =RS. If PS = 21 and PR = 16, what is the value of QR? QR = (Simplify your answer.)
Greetings from Brasil...
→ Collinear points = points belonging to the same line
→ PQ is said to be equal to RS. Let’s call this distance X
→ let's call QR Y
With this information and the figure in the annex we can conclude that:
refer to attached
PQ = X
QR = Y
RS = PQ = X
then
PR = PQ + QR
16 = X + Y i
PS = PR + RS
21 = 16 + X
X = 5 putting in i
16 = X + Y
16 = 5 + Y
Y = 11
So,
PQ = 5QR = 11RS = 5Collinear points are points on the same line.
The value of QR is 11
From the question, we have:'
Q between P and RR between Q and SThis means that:
[tex]\mathbf{PR = PQ + QR}[/tex]
[tex]\mathbf{QS = QR + RS}[/tex]
[tex]\mathbf{PS = PR + RS}[/tex]
The given parameters are:
[tex]\mathbf{PS = 21}[/tex]
[tex]\mathbf{PR = 16}[/tex]
[tex]\mathbf{PQ = RS}[/tex]
Substitute the above values in [tex]\mathbf{PS = PR + RS}[/tex]
[tex]\mathbf{21= 16 + RS}[/tex]
Solve for RS
[tex]\mathbf{RS = 21- 16}[/tex]
[tex]\mathbf{RS = 5}[/tex]
This means that:
[tex]\mathbf{PQ = RS = 5}[/tex]
Substitute 5 for PQ in [tex]\mathbf{PR = PQ + QR}[/tex]
[tex]\mathbf{PR = 5+ QR}[/tex]
Substitute [tex]\mathbf{PR = 16}[/tex] in [tex]\mathbf{PR = 5+ QR}[/tex]
[tex]\mathbf{16 = 5+ QR}[/tex]
Solve for QR
[tex]\mathbf{QR = 16 - 5 }[/tex]
[tex]\mathbf{QR = 11}[/tex]
Hence, the value of QR is 11
Read more about collinear points at:
https://brainly.com/question/1593959
What is the value of the expression?
-16+ 12
-28
-4
4
28
Answer:
-4 is the corect answer because when your adding integers depending if your number is negative or positive your sum will either go right or left up or down
Step-by-step explanation:
as shown with the attached file
Explain how you can write an equation for the given situation in standard form. One number is 5 more than a second number. The product of the two numbers is 891.
A) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x-891=0
B) Let x be the smaller number, and then x+5 is the larger number. This means that x+(x+5)=891, which can be rewritten as 2x-886=0
C) Let x be the smaller number, and then x+5 is the larger number. This means that x(x+5)=891, which can be rewritten as x^2+5x+891=0
D) Let x be the smaller number, and then x+5 is the larger number, This means that x+5/x=891, which can be rewritten as 890x-5=0
Answer:
you figure it out
Step-by-step explanation:
Number one is going to be N1
Number two is going to be N2
Product of the two numbers combined is going to be 891
N1= N2 +5
N1 + N2 = 891
(N2+5) + N2 = 891
N2 +5 +N2 =891
2N2 + 5 =891
im gonna let you figure the rest out
what is 1 7/8 rounded to the nearest yards?
A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
7
(a) Olivia deposits $8600 in a bank. The interest rate is 2.6% per annum.
Find the total interest she will earn in 4 years.
Answer:
Below in bold.
Step-by-step explanation:
You do not say if the interest is simple or compound.
Simple Interest: I = PRT/100
= (8600* 2.6 * 4)/ 100
= $894.40.
Compound Interest:- amount after 4 years
= 8600(1 + 0.026)^4
= $9529.89
So the compound interest
= 9529.89 - 8600
= $929.89.
to
What is mZXYZ
57
147
33
123
Answer:
57°
Step-by-step explanation:
[tex]\angle XYZ \: and \: \angle NOP \: are \: complementary. \\
\therefore m\angle XYZ + m\angle NOP = 90\degree \\
\therefore m\angle XYZ + 33 \degree = 90\degree \\
\therefore m\angle XYZ = 90\degree - 33 \degree \\
\huge \orange {\boxed {\therefore m\angle XYZ = 57\degree}}
[/tex]
Easy question, what is the perimeter of this?
Answer:
14x - 6
Step-by-step explanation:
2(5x - 3) + 2(2x)
10x - 6 + 4x
14x - 6
hopefully this helps you :)
pls mark brainlest ;)
Find the distance between (5,3)and(9,7)
Answer:
wouldnt it be 4,4?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Calculate the distance between two points by filling in the x and y values of both coordinates. How do you find the distance between two points? Distance Formula : Example: For two points, (3,2) and (15, 10) the distance is calculated as: Distance = 14.42 (rounded to the nearest 100th)
a^2+b^2=c^2 for c
algebra 2
Answer:
D
Step-by-step explanation:
c = √(a² + b²) is correct because to isolate c you need to square root everything while still keeping a^2+b^2 together.
Question 7
2 pts
Carlos is planning to buy a new video game. He checked the price for two
games that he would like to buy. The Super Mario game costs $56.48. The
Zelda game costs $38.99. Estimate how much money will Carlos save if he
buys the Zelda game. Explain how you rounded the numbers. Include an
equation to represent how you estimated.
Edit
Insert Format Tools Table
12pt
Paragraph
BI
U
T?
:
Answer:$15-$20
Step-by-step explanation:
56.48 is about 55 38.99 is about 40. 55-40 = 15
Help please picture attached
Answer:
-10
Step-by-step explanation:
3/5(b)=-6
Divide -6 by 3/5, you get -30/3.
Evaluate 8.5 +(-A) for A = -7.1
Answer:
15.6 = A
Step-by-step explanation:
8.5 + ( - (-7.1))
8.5 + 7.1
15.6
What is -4.26 + 1.3
Please help me thanks
Answer:
-2.96
Step-by-step explanation:
what will be number of zeros in the square of the number 100? pls answer fasttttttttttt
Answer:
4
Step-by-step explanation:
The square of 100 means that 100 is being multiplied by itself. So the square of 100 is 100x100 = 10,000
Whenever you multiply a number by a multiple of 10, you simply add the number of 0s onto the end of the original number, so 100 originally has 2 zeros, so multiplying by 100 will add on another 2 zeros.
So, the number 10,000 which is the square of 100 has 4 zeros.
Hope this helped!
Find me midpoint of -9 and 6
Answer:
-3/2 or -1.5
Step-by-step explanation:
1) Write out the numbers:
-9, -8, -7, -6, -5, -4, -3, [-2, -1] 0, 1 , 2, 3, 4, 5, 6
2)-2 and -1 are in the middle
3)Add the numbers in the middle and divide by 2
Add the 2 numbers: (-2)+(-1)=-3Divide by 2: -3/2 Answer: -1.5
80iu612345678909876533456
.
Answer:
weird
Step-by-step explanation:
Can yall help me im having trouble
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons,
explain how to determine what the y-intercept is and where it would be located on a graph.
Please help me, i'm stupid and i don't know where, or how to find this.
Answer:
I am stuck on that question tooo
Step-by-step explanation:
Step-by-step explanation:
First, let's write an equation.
h= numbers of hours, the instructor will charge $8 per hour.
s= amount of $
"12" is the initial fee.
From this information the equation will look like:
s=8h
However, on our graph, we will have to start on 12 since this was the initial fee. (so on the y, put a dot on 12.)
I think that (0, 12) is the y-intercept but I'm not entirely sure. In reality, your graph can't have any negative h(x) or y(s) values so the graph would be shaped like an "L".
which inequality is true?
1/2 is less than 1/3
3/4 is greater than 2/3
-1/4 is less than -2/3
-1 is greater than 3/4
The correct option which valid for inequality is the first one that is 3/4 is greater than 2/3.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
In the given option
3/4 is greater than 2/3 is the right one
1/2 is less than 1/3 is not true because 1/2 is more than 1/3.
-1/4 is less than -2/3 is not true because -1/4 is not less than -2/3,
-1 is greater than 3/4 is not true because -1 is not greater than 3/4s.
Learn more about inequality here;
https://brainly.com/question/20383699