Answer: I think the answer is A.
Sorry if I'm wrong.
Write all of the trips that would take 2 hours. Show your work.
a. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
b. Walk 3 miles per hour to school, which is 1.5 miles away.
c. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.
Answer:
120divide by2=60
3miles only
160 divide by 80=2 hrs
Step-by-step explanation:
Which shape has at least one one pair of perpendicular sides?
Answer:
the square
Step-by-step explanation:
perpendicular = 90 degrees
Square (Option 1) has at least one pair of perpendicular sides
What is perpendicular?"Perpendicular means two lines, or sides, that meet at a right angle. A right angle is the measurement of 90 degrees."
What are perpendicular sides?"Perpendicular sides are at a 90-degree angle. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring."
Option 1
Squares are made up of two sets of parallel line segments, and their four 90° angles mean that those segments also happen to be perpendicular to one another.
Option 2
A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram.
Option 3
There are three angles in a triangle. These angles are formed by two sides of the triangle, which meets at a common point, known as the vertex. The sum of all three interior angles is equal to 180 degrees.
Option 4
A trapezoid is a quadrilateral with exactly one pair of parallel sides. Isosceles trapezoids have two sides which are equal sized and have the same angles between themselves and the bases.
Hence, Square (Option 1) has at least one pair of perpendicular sides
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Find the equation of the circle that passes through the points (7, 3) and (11, −1) and has its centre lying on the line 2x + y = 7.
The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center.r represents the radius of a circle.How to determine the equation of this circle?Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:
(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²
(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²
(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²
(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)
(2h - 18)(4) = (2k - 2)(4)
8h - 72 = 8k - 8
8h - 8k = 64
h - k = 8 .......equation 1.
Since (h, k) lies at 2x + y = 7, we have:
2h + k = 7 .......equation 2.
Solving eqn. 1 and eqn. 2 simultaneously, we have:
h - k = 8
2h + k = 7
3h = 15
h = 15/3
h = 5.
For the value of k, we have:
h - k = 8
5 - k = 8
k = 5 - 8
k = -3.
Next, we would determine the radius of this circle:
Radius, r² = (h - x)² + (k - y)²
Radius, r² = (5 - 7)² + (-3 - 3)²
Radius, r² = (-2)² + (-6)²
Radius, r² = 4 + 36
Radius, r = √40.
Now, we can write the equation of this circle:
(x - h)² + (y - k)² = r²
(x - 5)² + (y - (-3))² = 40
(x - 5)² + (y + 3)² = 40.
x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0
x² - 10x + 25 + y² + 6y - 31 = 0
x² - 10x + y² + 6y - 6 = 0
x² + y² - 10x + 6y - 6 = 0.
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Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
Geometry, Pls help asap!!!!
Answer:
third one
Step-by-step explanation:
Find the value of x, please help
Answer: 45
Step-by-step explanation: The right angle is 90 and the total is 180 so that would be 180 - 90 - 45 which would equal 45
Hope this helps :)
1 inch equals 2.54 cm how many inches long is 45.72 centimeters
Answer:
18 inches equals 45.72 centimeters
Step-by-step explanation:
[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]
Subtract
3-9 = ???????
Answer:
-6
Step-by-step explanation:
solve -8x greater than or equal to
2
Answer:
[tex]x \leq -\frac{1}{4}[/tex]
Step-by-step explanation:
Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]I hope this helps!
5 + x + 8w
how many terms are in the expression
Answer:
3
Step-by-step explanation:
Term are the number and signs to make a problem.
Ex: 4+5=9
all those are terms
A small radio transmitter broadcasts in a 50 mile radius. If you drive along a straight line from a city 60 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
____________ miles
Answer: You would only be able to pick up 50miles worth of signal from the transmitter. P.s. i hope im not wrong
Step-by-step explanation:
Find the breadth of arectangular plot of land if its area is 3200 m² And the length is 80 m² Also find the perimeter of the plot . What will be the cost of the diggjng the land at Rs 25 per m²
Answer:
40 m wide240 m perimeter₹80,000 cost to digStep-by-step explanation:
Given a land area of 3200 m² with a length of 80 m, you want the width, perimeter, and cost of digging at ₹25/m².
WidthThe formula for the area of a rectangle can be used to find the width of the plot.
A = LW . . . . . . area is the product of length and width
3200 m² = (80 m)W . . . . . fill in given values
40 m = W . . . . . . . . . . . . divide by the coefficient of W
The width of the plot is 40 m.
PerimeterThe perimeter can be found using the formula ...
P = 2(L +W)
Using the length and width we know, this is ...
P = 2(80 m +40 m) = 2(120 m)
P = 240 m
The perimeter of the plot is 240 m.
Digging costThe cost of digging will be the product of the number of square meters and the cost of digging each one:
digging cost = (3200 m²)×(₹25 /m²) = ₹80,000
The cost of digging the land is ₹80,000.
John eats 3/8s of a pizza one day, 1/4 the next day. Can he eat half the next day? Use addition or
subtraction to justify your answer
By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
Let the total pizza be 1.
On the first day, the fraction of pizza that John ate = 3 / 8
On the next day, the fraction of pizza that John ate = 1 / 4
Total pizza that John ate till now will be calculated using addition:
3 / 8 + 1 / 4
3 / 8 + 2 / 8
5 / 8
Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.
1 - 5 / 8
8 / 8 - 5 / 8
3 / 8
We can see that the half pizza is not left.
So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.
Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.
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x – 4 = -9 + x
How do I do this
Answer: No Solution
Step-by-step explanation: There isn't an option to get x by itself, leaving you with no Solution.
Heres where it fails:
x - 4 = -9 + x
Get X by Itself
x - 4 = -9 + x
-x -x
-4 = -9
And last time I checked, -4 doesn't equal -9
Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
What property is being used to go from step 4 to step 5?
The property which is being used to go from step 4 to step 5 is associative Property .
We know that "+" may be a positive sign, "−" may be a negative sign. once a symbol isn't denoted before variety, it always means that it's positive.The law of Associative Property of Addition implies that once three completely different integers are other, the obtained result's not stricken by the pattern of addition followed. The pattern won't influence the proper summation result. Again, allow us to have three integers X, Y and Z. As per the property, we've got the subsequent example supported X+(Y+Z) = (X+Y)+Z.In step 4 it is written that 30 + (-19x) -3 = 0
27 - 19x = 0
According to associative Property is we interchange the number with their sign it gives the same solution as this before .
On interchanging we get ,( -19x +30) -3 = 0
- 19x + 27 = 0
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What's equivalent to 2/5 divided by 6
HOW MANY GALLONS OF A 90% ANTIFREEZE SOLUTION MUST BE MIXED WITH 90 GALLONS Of 10% ANTIFREEZE TO GET A MIXTURE THAT IS 80% ANTIFREEZE
630 gallons of 90% antifreeze has to be mixed.
Sum of values of two solutions = Value of mixture
90% =0.9 unit value and amount x we get value 0.9x
10%= 0.1 unit value and amount 90 we get value =0.1*90=9
total mixture =0.80 value x+90 we get value 0.8*(x+90)
0.9x + 9 = 0.8(x + 90)
0.9x + 9 = 0.8x + 90 x 0.8
0.9x – 0.8x = 72 – 9
0.1x = 63
x = 630
Hence, 630 gallons of 90% antifreeze has to be mixed.
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It cost Layla $4.70 to send 47 text messages. How many text messages did she send if she spent $15.10?
Answer: 151 messages
Step-by-step explanation:
each messages cost Layla 10 cents. Which means that 151 x 0.10= 15.10
Answer:
151 text messagesStep-by-step explanation:
Given conditions:Layla cost for 47 messages is $4.70.To find:No. of text messages cost if she spent $15.10.Solution:Given,
No. of text messages for $4.70 = 47
So, no. of text messages for $1.00 = [tex]\frac{47}{4.7}[/tex]
Therefore,
No. of text messages for $15.10
= [tex]\frac{47}{4.7}[/tex] × 15.10
= 10 × 15.10
= 151
Hence,
The no. of text messages for $15.10 are 151 (Ans)
Let f(x) = tan(x)-2/x. Let g(x) = x^2+8.
What is f(x)*g(y)?
Answer:
Step-by-step explanation:
(x)*g(y)
=(tanx-2/x)*(y²+8)
=y²tanx+8tanx-2y²/x-16/x
The product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
What is the product of functions?When the two or more than two functions are multiplies together. Then the resultant function is called the product of these functions.
Let suppose there is a function f(x) and another function g(x). Then the product of function can be written as,
[tex]f(x)\times g(x)[/tex]
Let suppose, a function f(x) is
[tex]f(x)= tan(x)-\dfrac{2}{x}[/tex]
Let another function g(x) is,
[tex]g(x)= x^2+8[/tex]
Then g(y), will be,
[tex]g(y)= y^2+8[/tex]
The product of this two function is,
[tex]f(x)\times g(y)= \left(\tan(x)-\dfrac{2}{x}\right)\times(y^2+8)\\f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
Thus, the product of two functions f(x)*g(y), when f(x) = tan(x)-2/x and g(x) = x^2+8 is,
[tex]f(x)\times g(y)= y^2\tan(x)+8\tan(x)-\dfrac{2y^2}{x}-\dfrac{16}{x}[/tex]
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-7 ___ 3 what is the answer
Answer:
-7 + 10 = 3
Step-by-step explanation:
10 POINTS HELP ASAP PLEASE IF YOU DONT KNOW THE ANSWER DONT JUST WRITE ANSWER FOR THE POINTS PLEASE
Use the image below to answer the question.
Using the segment addition postulate, find the length of segment EF.
EG = 17
FG = 12
FIRST ONE - 12
SECOND ONE- 5
THRIDS ONE- 29
Answer:
(b) EF = 5
Step-by-step explanation:
Given point F lies on segment EG, you want to find EF when FG = 12 and EG = 17.
Segment additionThe segment addition postulate tells you the whole is the sum of the parts. That is ...
EF +FG = EG
EF +12 = 17 . . . . . substitute given lengths
Subtracting 12 from both sides of the equation, we have ...
EF = 5
What am I doing wrong here?
In my bingo game you have to match 3 balls to win.
20 balls are drawn from a 60 ball total.
I’m able to deduce that I have a 1 / 34,220 chance of winning.
However, I win more like 1 / 100 attempts.
Please identify where my maths is going wrong:
My maths:
For the first ball there are 60 options.
For the second ball there are 59 options.
For the third ball there are 58 options.
I need to multiply these 3 options:
60 x 59 x 58 = 205,320
1 / 205,320.
However, the order of the numbers doesn’t matter, so we’ll exclude permutations from the total combinations:
Permutations = 3! = 3x2 = 6
205,320 / 6 = 34220
So to win a this game I have a 1 / 34,220 chance.
Why then am I winning 1/100 attempts? Something is very wrong.
Using the hypergeometric distribution, it is found that you are going to win approximately 3.33% of the time.
What is the hypergeometric distribution formula?The formula is:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, we have that:
There are 60 balls, hence N = 60.20 balls will be drawn, hence n = 20.3 balls are correct, hence k = 3.You win if you have the 3 correct balls, hence the probability is P(X = 3), found as follows:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 3) = h(3,60,20,3) = \frac{C_{3,3}C_{60,20}}{C_{60,20}} = 0.0333[/tex]
Hence you are going to win approximately 3.33% of the time. The difference is because you considered that only 3 balls would be drawn, and not 20.
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How many hours in 7 1/3 days.
What he the quotient of -3/8 and -1/3?
A -1 1/8
B -1/8
C 1/8
D 1 1/8
Answer:
D
Step-by-step explanation:
Quotient means division
therefore, -3/8 / -1/3
-3/8 * 3/-1
=1/1/8 or 9/8 or 1.125
Your total restaurant bill for food, drinks, and a 10% tip is $37.40. What is a good estimated
cost for just the food and drinks?
O$33.50
O$37.00
O$36.00
O$34.00
well, the total was really "x", which oddly enough is 100%, but if we include the tip that'd be 100% + 10% = 110%, which we happen to know is $37.40, that's the cost of food and drinks plus tip hmmm so
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 37.40& 110 \end{array} \implies \cfrac{x}{3740}~~=~~\cfrac{100}{110} \\\\\\ \cfrac{x}{37.40}=\cfrac{10}{11}\implies 11x=374\implies x=\cfrac{374}{11}\implies x=34[/tex]
Answer:$34
Step-by-step explanation:
There are 321 visitors at the library
Each library table seats 12 people. How
many tables are needed to seat all of
the visitors?
A) 20
B) 30
C) 27
D) 9
Answer
c)
Step-by-step explanation:
321÷12=26.75 ~ 27
Answer:
Therefore, 27 tables are needed to seat all of the visitors.
Step-by-step explanation:
In order to solve this question, we must divide 321 by 12, since there are 321 visitors, and each table seats 12 people.
321 ÷ 12 = 27 when rounded to the nearest whole number.
Therefore, 27 tables are needed to seat all of the visitors.
Hope this helps! :D
Please help me with this question.
How can proportional reasoning help solve a problem?
help fill in the chart
© Solve for x
5(x – 4) = -50
х
Answer:
x = - 6
Step-by-step explanation:
Let's do this quickly,
5(x – 4) = -50
5x - 20 = -50
5x = -50 + 20
x = - 30/5
x = -6