Answer:
3 1/6
Step-by-step explanation:
5 1/2 = 5 3/6
-
2 1/3 = 2 2/6
_____
3 1/6
Which equation represents a line that passes through (4, 1/3) and has a slope of 3/4?
Step-by-step explanation:
let the equation be y - y1 = 3/4(x - x1)
sub (4, 1/3):
y - 1/3 = 3/4(x - 4)
therefore answer is option 2.
Topic: coordinate geometry
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Answer:
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]
Step-by-step explanation:
To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.
Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.
Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.
Simplify equation 2
[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]
Plug in the point
[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]
This checks out, so equation 2 is your answer.
The slope of the line that passes through the points (9, 11) and (3,6) is what
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The two points are (9, 11) and (3, 6).
The equation of the line that passes through (9, 11) and (3, 6) will be given as,
(y - 6) = [(11 - 6) / (9 - 3)](x - 3)
y - 6 = (5/6)(x - 3)
y - 6 = (5/6)x - 5/2
y = (5/6)x + 7/2
The equaiton of the line is y = (5/6)x + 7/2. Then the slope of the line is 5/6.
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how to solve this pls I need answer fast
There are markings given in the diagram.
(Angle) ∠A and ∠D are =
(Side) AC and DB are =
(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =
So you got side, angle, and another side.
You can form the SAS (Side-Angle-Side) similarity theorem.
You can also use the reasons above to make a Statement-Proof table
Find the value of that makes m ll n.
Answer: x = 108
Step-by-step explanation: In this problem, we're given a diagram and
we're asked to find the value of x that would make m ll n.
We can see that the angles that are marked in the diagram
are same-side interior angles since they lie on the same side
of the transversal and they lie on the interior of lines m and n.
Therefore, in order for line m to be parallel to line n,
these angles must be supplementary.
In other words, they must add to 180 degrees.
So we can setup the equation x + 72 = 180.
Subtracting 72 from both sides gives us x = 108.
So the value of x that would make line m ll n is 108.
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, , to the number of hours flying, , is . How long will it take the airplane to travel 800 miles?
Complete question :
On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours
Step-by-step explanation:
Given the function :
Time t taken for flying distance d is given by:
t = 1/500 * d
Tine taken to fly 800 miles;
d = 800 miles
t = 1/500 * (800)
t = 800 / 500
t = 1.6
Hence, time t = 1.6 hours
What is the correct answer for all?
Answer:
Ah man........
Step-by-step explanation:
Are you crazy??
10676 rounded to the nearest 100
The rounding number of 10676 nearest 100 is 10,700.
What is Rounding number?
To making a number simpler but keeping its value close to what it was, is called Rounding.
Given that;
The number is 10,676
Now, To round the number nearest to the 100 , we check the tens digit ,if the digit is equal to 5 or more then round up, and if the number is less than 5 then its round down.
Here, In the number 10,676 the digit in the tens place is 7 which is more than 5, so we can round up.
Hence, The rounding number = 10,700
Thus, The rounding number of 10676 nearest 100 is 10,700.
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Felicity the clown inflates 2 balloons in 5 minutes. Grumpy the clown ties 5 balloon animals in 12 minutes they both work at a steady rate. If Felicity maintained this constant rate, how many balloons could she inflate in one hour? If Grumpy maintained this constant rate, how many balloon animals could he tie in one hour?
Answer:
24 Balloons for Felicity
25 balloons for Grumpy
Step-by-step explanation:
Graph y = 2/5x
Graph y = 5/12x
Graph x = 60
Find intersects
(60,24)
(60,25)
Now that you have had a chance to read excerpts from Anne Frank’s diary and the play version of it, which do you prefer? Why?
Answer:
Reading it because you could really imagine and get the feel of it inside your head and almost feel like you are here
Step-by-step explanation:
I would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
Who is Anne frank?Annelies Marie "Anne" Frank was a German-born Jewish girl who kept a diary in which she documented life in hiding under Nazi persecution. She is a celebrated diarist who described everyday life from her family hiding place in an Amsterdam attic.
Given are excerpts from Anne Frank's diary and play version.
I would prefer the play version of excerpts from Anne Frank's Diary as watching a play is better than reading because the characters come to life, as does the way they relate to and interact with each other.
Therefore, i would prefer the play version of excerpts from Anne Frank's Diary over reading excerpts.
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The discount allowed in a store for a cash payment is 6%. Find what a buyer pays for an article whose marked prices $567.50
Answer:
A buyer would have to pay $533.45 for an article whose marked prices $567.50.
Step-by-step explanation:
Marked price = $567.50
Discount=6%
Price after discount = 567.50 - 6% of 567.50
[tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]
[tex]=567.5-34.05[/tex]
[tex]=533.45[/tex] $
Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.
Two friends went to Best Buy and bought Pokemon cards and baseball cards. Each Pokemon card was the same price and each baseball card was the same price. The first friend paid $12 for 14 pokemon cards and 5 baseball cards. The second friend paid $24.80 for 10 pokemon cards and 15 baseball cards. What was the cost of each baseball card?
A.
$1.42
B.
$0.35
C.
$ 1.15
D.
$0.63
Which ordered pairs make both inequalities true? Check all that apply.
First get brainliest!!!
Answer:
(0, -2) and (1, 1) both work in this system of equations.
Step-by-step explanation:
Happy to help! The best way to find if it is a solution is to look for those points on the graph. When we graph the point, it needs to fall in an area where both lines or shaded or on a solid line.
Look carefully and see if you can find points like these!
(0, -2) falls on a solid line.
(1, 1) falls in the double shaded area.
Therefore, (0, -2) and (1, 1) both work in this system of equations.
Good luck!
Answer:
1,1 and 2,2
Step-by-step explanation:
i just took the test
Which equation is represented by the graph below?
Answer: 2/3 x +6
Step-by-step explanation:
slope is 2/3 and y intercept is 6
Somebody help me with this
Answer:
1
Step-by-step explanation:
when multiplying fractions it doesn’t matter if they have the same denominator (bottom) just multiply straight across
(6/12)x(6/3)
36/36
1
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $5. On Saturday, Rob earned $84 babysitting. How much money did he save?
He saved 30 dollars through babysitting. My math is:
84 / 14 = 6
6 x 5 = 30
I hope this helps!
What is the y-intercept in the equation: y = 5x + 7
Answer:
the y-intercept is 7
Step-by-step explanation:
y=mx+b
m=slope
b= y-intercept
Expand and combine like terms. (3-8w^2)^2
Answer:
64w^4 - 48w^2 + 9
Step-by-step explanation:
(I rearranged the terms so I could solve it easier)
Expanding the square:
(-8w^2 + 3)^2
(-8w^2 + 3)(-8w^2 + 3)
Combining like terms:
64w^4 - 24w^2 - 24w^2 + 9
64w^4 - 48w^2 + 9
Final answer: 64w^4 - 48w^2 + 9
What is the slope of the line that passes through the points (8,8) and
(20,-2)? Write your answer in simplest form.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Answer:
-5/6
Step-by-step explanation:
A performer expects to sell 10,000 tickets for
an upcoming concert. They want to make a
total of $721,000 in sales from the these
tickets. Assuming that all tickets have the same
price, what is the price for one ticket?
This figure is made from a part of a square and a part of a circle.
What is the perimeter of this figure, to the nearest unit? ______ units
Answer:
38 units (rounded off to the nearest unit)
Step-by-step explanation:
Find the perimeter of the circle part, if the circle section is a 90degree slice, then it is a quarter of the full circle's circumference[tex]Circumference=pi\times 2radius\\C=\pi \times 2(5)\\C=10\pi[/tex] now find a quarter of this then[tex]SectionCircumference=\frac{5}{2}\pi[/tex] Then find the perimeter of the whole thing by adding the side [tex]P=10+10+5+5+\frac{5}{2}\pi =37.85[/tex]The perimeter of the given figure will be 38 units.
What is perimeter?Its the sum of length of the sides used to made the given figure.
We are given that Measures of three linear sides as 5, 10, 10, 5 units.
Radius of the circular part = 5 units
Since Perimeter of a polygon = Measure of the circumference of the polygon
The Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle
Thus Measure of linear sides = 5 + 10 + 10 + 5 = 30 units
Circumference of the quarter circle = 2πr
= 2π(5)
= 7.85 units
Perimeter of the figure = 30 + 7.85
= 37.85
≈ 38 units
Therefore, the perimeter will be 38 units.
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Help need it asap plessss
Answer:
C) $14.2
Step-by-step explanation:
$3 is flat value. minimum price. $0.8 per mile for 14 miles is 0.8x14 which equals to 11.2. Add $3 and get $14.2.
C) 14.20
.8×14=11.2
11.2+3=14.2
Your school district cancels school when at least 3 inches of snow accumulate on the ground each hour. Snow is currently accumulating at a rate of 3/2 inches per hour. Select an inequality that represents the extra snow accumulation s (in inches per hour) needed to cancel school.
Answer:
x > 2
Step-by-step explanation:
x is the hours of accumulation.
3/2 *2 = 3
The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.
answer is 104
Step-by-step explanation:
let the no. of girls =x
then no. of boys=x+52
A.T.Q
x+52/x=3/1
x=26
hence girls =26
and boys =78
total students =26+78=104
Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.
Step-by-step explanation:
The tree diagram represents an
experiment consisting of two trials.
5
6 3
5
B
P(A and D) = [?]
===============================================
Explanation:
Highlight the path that starts with A and then leads to D
Multiply the values highlighted to get 0.5*0.6 = 0.3
Effectively we've computed the following
P(A and D) = P(A)*P(D given A)
P(A and D) = 0.5*0.6
P(A and D) = 0.3
The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.
Determine which of the following are solutions to the equation.
2y + x = 4
O (-2, 3)
O (5, -6)
O (3,-2)
O (4, -3)
Answer:
-2,3
Step-by-step explanation:
the x being -2 would be the x answer while 3 would be the y so it eould go like this
2(3) + -2=4
6+-2=4
Q2. At a pizzeria, a plain slice of pizza costs $1.75, and each additional
topping costs $0.75. Jared buys a slice of pizza for a total cost of $4.00.
Which equation could be used to determine how many additional toppings
Jared had on his pizza? Let x = the number of toppings.
1.75x + 0.75 = 4
1.75 -0.75x = 4
1.75x -0.75 = 4
1.75 +0.75x = 4
Answer:
1.75+0.75x=4
Step-by-step explanation:
$1.75 is the set price, and you add $0.75 for every topping.
Complete the square for the expression, then factor the trinomial.
x^2-4x
please explain how to do it as well! :)
Answer:
0
=
(
x
2
−
4
x
)
−
5
=
(
x
2
−
4
x
+
4
)
−
4
−
5
=
(
x
−
2
)
2
−
9
so
(
x
−
2
)
2
=
9
or
x
−
2
=
±
√
9
or
x
=
2
±
3
so
x
=
−
1
or
x
=
5
Step-by-step explanation:
5x-3y=2 Determine the ordered pair
5x - 3y = 2. -3y = -5x + 2. y = (5/3)x - 2/3. x y.
Step-by-step explanation:
5x-3y=2
-3y=-5x+2
y=(5/3)x-2/3
With Integers:x=1, y=1x=4, y=6x=7, y=11x=10, y=16x=13, y=21Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo. Find how much money each get
Equations:
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320
Abiodun and Taiwo got 415 & 320 naira , respectively.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
Abiodun and Taiwo share 735 naira between them so that Abiodun gets 75naira than taiwo.
now, we get
A + T = 735 naira
A = T + 95
A + T = 735
A - T = 95
Add and solve for A:
2A = 830
A = 415 naira
T = 735-415 = 320naira
Hence, Abiodun and Taiwo got 415 & 320 naira , respectively.
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The population density of the world is calculated by finding the ratio of the total number of people in the world to the area of land. Since the earth is about 1.5 x 108 square kilometers, approximately how many people would inhabit each square kilometer of the earth? Show the work and / or explain your reason
Answer:
51
Step-by-step explanation:
A = Surface area of the Earth = [tex]1.5\times 10^8\ \text{km}^2[/tex]
Total number of people on Earth = 7.594 billion as of 2018 = [tex]7.594\times 10^9[/tex]
We need to find the number of people living in each square km of land area.
So, we need to divide the number of people by the land area of the Earth.
[tex]1.5\times 10^8\ \text{km}^2=7.594\times 10^9\ \text{people}[/tex]
[tex]\Rightarrow 1\ \text{km}^2=\dfrac{7.594\times 10^9}{1.5\times 10^8}[/tex]
[tex]\Rightarrow 1\ \text{km}^2=50.63\approx 51\ \text{people}[/tex]
So, 51 people will inhabit each square km of land area.