Answer:
[tex]x=\frac{3}{2}\\ y=\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y=-x+2\\y=3x-4[/tex]
Let's solve one of them for x.
[tex]y=3x-4[/tex]
Add 4
[tex]y+4=3x[/tex]
Divide by 3.
[tex]x=\frac{y+4}{3}[/tex]
Now, plug the value of y in the formula, or you can plug the value of x in the other equation. I'll take this one.
[tex]x=\frac{y+4}{3}[/tex]
[tex]x=\frac{(-x+2)+4}{3}[/tex]
[tex]x=\frac{-x+2+4}{3}[/tex]
[tex]x=\frac{-x+6}{3}[/tex]
Multiply by 3 to get rid of the denominator.
[tex]3x=-x+6[/tex]
add x
[tex]3x+x=6[/tex]
Combine like terms;
[tex]4x=6[/tex]
Divide by 4.
[tex]x=\frac{6}{4}[/tex]
Simplify.
[tex]x=\frac{3}{2}[/tex]
Now that you found the value of x, replace it in any of the equations to find y.
[tex]y=-x+2\\y=-(\frac{3}{2})+2\\ y=-\frac{3}{2}+2[/tex]
[tex]y=\frac{-3+2*2}{2} \\y=\frac{-3+4}{2} \\y=\frac{1}{2}[/tex]
Proof:
[tex]y=3x-4\\\frac{1}{2}=3(\frac{3}{2})-4\\\frac{1}{2}=(\frac{9}{2})-4[/tex]
[tex]\frac{1}{2}=\frac{9-4*2}{2}[/tex]
[tex]\frac{1}{2}=\frac{9-8}{2}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
A group of students were surveyed to find out if they like watching television or reading during their free time. The results of the survey are shown below:
90 students like watching television
20 students like watching television but do not like reading
80 students like reading
40 students do not like watching television
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both watching television and reading? Show your work. (5 points)
Part B: What is the probability that a student who does not like watching television also does not like reading? Explain your answer. (5 points)
Answer:
Part A = 73.91%
Part B = 1/2 probability
Step-by-step explanation:
Part A - 90 + 20 + 80 + 40 = 230(total students)
90 + 80 = 170 students who like tv and reading
170/230 × 100 = 73.91%
Part B - 20(no read)/40(no tv) = 1/2 probability
Find the missing dimension of the cylinder. Round your answer to the nearest whole number.
Please help!
Answer:
4 in to the nearest whole number.
Step-by-step explanation:
Volume of a cylinder = π r^2 h
Here Volume = 25 in^3 and r = 1/2 * 3 = 1.5 in.
So: 25 = π * 1.5^2 * h
25 = 2.25π h
h = 25 / 2.25π
h = 3.54 in
4. Jane and Terry went to Long Island for a week. They needed to rent a car, so they checked out two rental firms. Avis wanted $28 per day with no mileage fee. Hertz wanted $108 per week and $0.14 per mile. How many miles would they have to drive before the Avis price is less than Hertz’s price?
Answer:
Anything more than 89.8 miles
Step-by-step explanation:
Since Hertz charges $108/week, divide that by 7 so you have the daily rate.
Which is $15.43. Then set 28 = 15.43 + .14x. Subtract 15.43 from both sides.
12.57 = .14x Then divide both sides by .14 x = 89.8 miles is the break even point, so anything over that is when the Avis price would be less and anything under that is when the Hertz price is less.
2. Patricia, Luca and Dauda shared an amount of money such that, Patricia had twice as much
as Dauda and Luca had GH¢600.00 more than Dauda. If Patricia had GH¢2,000.00, what
was the average share, to the nearest GH¢?
Answer:
GH¢1533
Step-by-step explanation:
Let d represent the amount of Dauda's share in GH¢. Then the problem statement tells us ...
Patricia's share is 2d = 2000
Luca's share is d+600
From Patricia's share, we know Dauda's share is ...
d = 2000/2 = 1000
and Luca's share is ...
1000 +600 = 1600
__
The average share is the sum of these, divided by three:
(2000 +1000 +1600)/3 = 4600/3 = 1533.33
To the nearest GH¢, the average share is GH¢1533.
What is the point slope form of a line that has a slope of 1/2 and passes through point -7, two
Answer:
y-2=1/2(x+7)
Step-by-step explanation:
Point slope form:
y − y1 = m(x − x1)
We have the coordinate (-7, 2) and slope aka m (1/2)
y-2=1/2(x+7)
Hope this helps! Please mark brainliest :)
what is 4848/40404 written as an improper fraction +34422222222 wiil mark brainliset if right
Answer:
675/12
Step-by-step explanation:
ABC is a right-angled triangle. Calculate the length of AB. Give your answer correct to 2 decimal places.
Diagram is there too as I couldn't fit the question in.
Answer:
10.83
Step-by-step explanation:
The length of AB to 3 decimal places is 10.83 cm
The given figure is a right triangle
From the triangle, we are given the following parameters
AC = 18cm
m<C = 38 degrees
we need to get the length of AB
Using the SOH CAH TOA identity
[tex]sin \theta = \frac{opposite}{hypotenuse} \\sin 37 = \frac{AB}{18}\\AB = 18 sin37\\AB =18(0.6018)\\AB =10.832cm[/tex]
Hence the length of AB to 3 decimal places is 10.83 cm
Learn more here: https://brainly.com/question/19286106
A bedroom wall is to be painted around a window as shown below.
A rectangle with length 11 feet and width 10 feet. A smaller rectangle with length 3 feet and width 2 feet is cut out of the larger rectangle.
What is the area of the wall that will be painted?
A.6 feet squared
B.104 feet squared
C.110 feet squared
D.116 feet squared
Answer:B.104 feet squared
Step-by-step explanation:
First find the area of the rectangle 11×10=110 then find the area of the window 3×2=6 then subtract 110-6=104
Answer:
B
Step-by-step explanation:
What does (h,k) standard for in the standard circle equation?
Answer:It stands for the center of the equation
Step-by-step explanation:
(x-h)^2+(x-k) ^2=r^2
(h, k) stand for the center of the equation
while r stands for the radius
Devon borrowed $1058 at 13% interest for 9 months what will he pay an interest
Answer:
1058 times 0.13= 137.54 then the Answer= 1237.86
Step-by-step explanation: :0
can someone help me with my homework please!!!
Answer:
c
Step-by-step explanation:
You can either try each answer on the table above, or find the slope then find the function/equation.
c-y1=s(n-x1)
(x1,y1) being any pair from the table and s being the slope.
The factors of the polynomial are
A.(x + 1)(2+ix)(2-ix)
B.(x-1)(2+ix)(2-ix)
C.(x-1)[x-(3+1)][x-(4-1)]
D.(x+1)(x+(2+1)][x- (2-1)]
E.(x-1)[x+(2+1)][x- (2-1)]
Answer: c
Step-by-step explanation:
sum of exterior angle triangle is 360°
Answer:
True
Step-by-step explanation:
The exterior angles of a triangle are the angles that form a linear pair with the interior angles by extending the sides of a triangle. The sum of the exterior angles of a triangle and any polygon is 360 degrees.
(Google) ( don’t copy and paste for your work, change it up a little!) hope this helped!
1.
Find the midpoint of MN given M(3,-1) and N(11,-9)
determine which equation below has a solution of x= 1/2
Answer:2x-1=0
Step-by-step explanation:
x=1/2
Cross multiply
2x=1
Subtract 1 from both sides
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given expression;
x=1/2
2x=1
Take 1 away from both sides.
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.
Hence, option A is correct.
To learn more, about equations, refer;
https://brainly.com/question/10413253
#SPJ2
Each parking spot is 8 feet wide. A parking lot has 24 parking spots side by side. What is the width (measured in yards) of the parking lot?
Answer: 64 yards I think
Step-by-step explanation:
Answer: If it's just 8 feet wide, 64 yards, if 8 and 1/2, 68 yards.
Step-by-step explanation:
Find the difference:
2
X+ 10
3
X+4.
-X+38
(x+10) (x+4)
-x-22
(x+ 10) (x+4)
1
6
HELP
Answer:I believe it’s B but I’m not sure
Step-by-step explanation:
find the area of the attached image below. PLEASE HELP ASAP!
Answer:I think 15
Step-by-step explanation:
Please help if you can
Answer:
4
Step-by-step explanation:
We just have to find the corresponding d(t) value when t=2. From the graph, we can see that when t = 2, d(2) = 4. Hope this helps!
The measure of an angle is 7º. What is the measure of its complementary angle?
Answer:
83°
Step-by-step explanation:
A complementary angles' measurements will equal 90°. One of the angles = 7°. Subtract 7 from 90:
90 - 7 = 83
83° is the measurement of the complementary angle.
~
Answer:
83°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
With that in mind:
[tex]90 -7=83[/tex]
The complementary angle would measure 83°.
Brainilest Appreciated!
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins.
Answer:
there is no question
Step-by-step explanation:
It looks like the owner plays dirty, meaning he uses a trick of some kind to somehow influence the outcome in such a way, that it's outcome is no longer random.
By influencing the outcome, the owner can obtain an advantage over the playeers who are not aware of the trick or skill involved.
This is unfair and can be considered "dirty". This game is 'fixed'.
how do I simplify this
Answer:Use Distributive property
The volume of a cone is 3x* cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
O 3x
6x
370x2
O 90X2
Mark this and retum
Save and Exit
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Submit
Answer:
The radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
Step-by-step explanation:
The formula of the volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]
r is radius of cone
h is height of cone
We have,
Volume of a cone is 3x cubic units and height is x units. Putting the values of volume and height such that,
[tex]r=\sqrt{\dfrac{3V}{\pi h}}\\\\r=\sqrt{\dfrac{3\times 3x}{\pi x}} \\\\r=\sqrt{\dfrac{3\times 3}{\pi}}\\\\r=\sqrt{\dfrac{9}{\pi}}\\\\r=\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex]
So, the radius of a cone is [tex]\dfrac{3}{\sqrt{\pi} }\ \text{units}[/tex].
help timed help plss!!
Answer:
V1 = Base x Height = 43 x 15 = 645 (mm3)
V2 = Base x Height = 12 x 7 = 84 (mm3)
Hope this helps!
:)
Answer:
1) 645 mm³
2) 84 cm³
Step-by-step explanation:
Volume of prism:
Base area × height
1) 43 × 15 = 645 mm³
2) 12 × 7 = 84 cm³
10^2What is the answer
Answer:
100
Step-by-step explanation:
10 times 10=100
Answer: 100
Step-by-step explanation: The 2 in this problem means that we are going to multiply 10 twice in order to find the answer.
When we multiply a number by itself, it's called squaring.
So any number squared is that number times itself.
So 10² is just 10 · 10 or 100.
Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
B. $424.000
Step-by-step explanation:
The function a(t)=424(1+0.06)
Find the constant proportionality from the proportional relationship shown on the graph
Answer:
k=5
Step-by-step explanation:
10÷2=5
20÷4=5
and so on
Answer:
The right answer should be 6
Step-by-step explanation:
The table represents a function.
What is f(5)?
o-8
х
—4
-1
3
5
f(x)
-2
5
4
-8
ооо
1
Answer:
f(5) = -8
Step-by-step explanation:
x -4 -1 3 5
f(x) -2 5 4 -8
f(5) is the value of f(x) when x = 5
f(5) = -8
Answer:
A) -8
Step-by-step explanation:
The person above me is correct because f(5) is the value of f(x), x=5. So f(5) = -8.
The GCF of 18 and 30 is
Answer: 6
Step-by-step explanation:
Answer:
The answer is 6, 6 is the GCF
Step-by-step explanation:
6 is the the Greatest Common Factor (GCF) because 6 can go into both numbers 18 and 30 evenly, 6 can multiply with 3 for the product to be 18 and 6 can multiply with 6 for the product to be 30. I hope this help. : )
Which equation represents the line that passes through points (1, –5) and (3, –17)?
A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1
Answer:
C
Step-by-step explanation:
I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.
(1,-5) & (3,-17)
1=1x, -5=1y, 3=2x, -17=2y
Formula is y2-y1/x2-x1
-17 - -5 = -12
3 - 1 =2
So -12/2 = -6
Formula for the line is
y-y1 = m (x-x1)
In this equation m=-6
Y - -5 = -6 ( x - 1 )
Answer:C
Step-by-step explanation:
