definition of parallelogram
∠2
∠3
transitive property of congruence
a sum of money was divided in the ratio 5:7. if the smaller amount was sh. 450, calculate the larger amount
larger amount = 630
the smaller amount, that is 5 parts is 450
divide 450 by 5 to find 1 part of the ratio
[tex]\frac{450}{5}[/tex] = 90 ← 1 part
7 parts, the larger amount = 7 × 90 = 630
What is the greatest common factor of 24 and 84? A. 6 B. 12 C. 20 D. 24
The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.
Anyone know this?
Pls help now.
The width of Jeff's rectangular garden is 6 feet shorter than its length, and its area is equal to 667 square feet. Which equation can be used to find the possible values for the length of Jeff's garden, x?
How do we factor 225n to the 4th power minus p to the sixth power?
20 points for half of this page! Please help me out!
1) 36
2)8
3)14
4a) 21 4b) 42 4c) 56
5a)22 5b)40 5c)52
6a) 15.5 6b) 17 6c)18
7a)9 7b)18 7c)24
8) 3x +5
3 x 4 +5
=17
12,781 rounded to the nearest hundred
First, identify the digit in the hundreds place.
12,781
Left 1 - ten-thousands place
2 - thousands place
7 - hundreds place - the one we are interested in
8 - tens place
Right 1 - ones place
Now we know the 7 is in the hundreds place.
12,781
To round off to the nearest 100, all digits to the right of the digit in the hundreds place become zero.
12,781 becomes first 12,700, but now we need one more step.
Look in the original number at the digit just to the right of the hundreds digit. It is an 8. Since 8 is greater than or equal to 5, the previous digit goes up by 1, so the 7 becomes an 8, as in 12,800, and the rounded number is 12,800.
Answer: 12,800
The 12,781 rounded to the nearest hundred is 12,800.
Given:
A number - 12,781
To find:
The rounding off the given number to the nearest hundred.
Solution:
12,781
Rounding off 12,781 to nearest tens:
=12,780
Rounding off 12,780 to nearest hundred:
=12,800
12,781 ≈ 12,800
The 12,781 rounded to the nearest hundred is 12,800.
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What does the formula B = s^2 mean?
s^2 means we're squaring the number s
For example, if s = 3, then s^2 = 3^2 = 3*3 = 9
This is likely a formula to find the area of a square. In the example above, the square would have a side length of 3 leading to an area of 9.
4y + 6 - 2y =24 find y
Combine like terms
4y-2y=24-6
2y=18
y=9
Which of the following statements is an example of empirical probability
The statement 'The experimental procedure is to bet on one object. Then, roll three Lucky Dice and count the number of matches. The number of matches will decide your profit.' is an example of empirical probability. Empirical probability is calculated by dividing the number of times an event occurs by the total number of opportunities for the event to occur.
Explanation:The statement 'The experimental procedure is to bet on one object. Then, roll three Lucky Dice and count the number of matches. The number of matches will decide your profit.' is an example of empirical probability.
Empirical probability is calculated by dividing the number of times an event occurs by the total number of opportunities for the event to occur. In this case, the student is rolling three dice and counting the number of matches, which is an observation-based approach to determining the probability.
An example of empirical probability in action is conducting an experiment to see how many times a specific outcome occurs, such as rolling dice or flipping coins, and then using that data to calculate the probability of that outcome happening.
The statement that represents an example of empirical probability is:
"In order to find the percentage of bass that he had in his pond this spring, Matt decided to spend 5 days catching a total of 15 fish each day and counting how many of those were bass." Option 4 is correct.
What is empirical probability ?
Actual observations or data gathered from studies or observations serve as the foundation for empirical probability.
In this instance, Matt is gathering information by counting the quantity of bass he catches relative to the total amount of fish he catches over time.
sylvia is carrying two bags of potatos, bag A and bag B. the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds. find the weight of each bag of potatos
since there are two bags and theyre equal in weight, you have to subtract 3 then divide by 2.
Answer: Hello!
There are two bags:
you write: "the weight of bag B is 3 pounds more than twice the weight of both bags of potatoes is 27 pounds."
this has no sense, I think you want to write something like:
"The weight of bag B is 3 pounds more than the weight of bag A, and twice the weight of both bags of potatoes is 27 pounds.
If we define B as the wheight of bag B, and A as the wight of bag A; we know that:
B - A = 3lb
2( B + A) = 27lb
in the first equation we can isolate B as: B = 3lb + A, and then replace it in the second equation:
2(B+ A) =27lb
2( (3lb + A) + A) = 27lb
6lb + 3A = 27lb
3A = 27lb - 6lb = 21lb
A= 21lb/3 = 7lb
now we can replace it in the first equation and get:
B - A = 3lb
B - 7lb = 3lb
B = 3lb + 7lb = 10lb
Then Bag A weights 7lb and bag B weights 10lb.
Jean runs 8 mi and then rides 11 mi on her bicycle on a biathlon. She rides 9 mph faster than she runs. If the total time for her to complete the race is 1.5 hr, determines her speed running and her speed riding her bicycle.
Let Jean's speed while running = x mph
Then Jean's speed while riding will be = x+9 mph
Distance covered by running = 8 miles
Distance covered by riding = 11 miles
Total time taken to complete the race = 1.5 hours
As, [tex]time=\frac{distance}{speed}[/tex]
So, time for running= [tex]\frac{8}{x}[/tex]
And time for riding= [tex]\frac{11}{x+9}[/tex]
Equation becomes:
[tex]\frac{8}{x}+\frac{11}{x+9}=1.5[/tex]
Now, multiply every term by 2x(x+9) to clear denominators:
[tex]16(x+9)+22x=3x(x+9)[/tex]
Simplifying it we get
[tex]3x^{2}-11x-144=0[/tex]
Solve the quadratic equation using formula
[tex]x= \frac{-b+\sqrt{b^{2}-4ac }}{2a}[/tex]
putting a=3 , b= -11, c= -144
we get (x - 9)(3x + 16) = 0
where x=9 and x=[tex]\frac{-16}{3}[/tex]
Neglect the negative answer as speed cannot be negative, so x = 9 mph
Hence, Jean's running speed is 9 mph and riding speed is x+9 = 9+9 = 18 mph
We can set up a time equation for both running and cycling, which then we add together and set to equal the given total time. Solving this equation reveals Jean's running speed to be approximately 6 mph and cycling speed to be 15 mph.
Explanation:
Given the scenario, we can set up two equations for time. The first equation is time equals distance divided by speed. For running, we have time = 8 mi / speed. For cycling, time = 11 mi / (speed + 9 mph), since her speed on bike is 9 mph faster than her running speed.
The total time spent for both running and cycling is given as 1.5 hours. Therefore, adding the two time equations we have: 8/speed + 11/(speed + 9) = 1.5.
Solving this equation will give us the value of her running speed. Through algebraic calculations, we get that her running speed is about 6 mph. And consequently, her cycling speed is 6 mph + 9 mph = 15 mph.
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Not quite sure how to find out if these are functions or not
number 5 is not and number 7 is a function because every input has exactly one output
Which of the following functions is graphed below please help is due tomorrow
I believe the correct answer is D. Since the graph of the parabola has a domain for x < 4, and the line presents a domain for x > = 4, then the only option with these conditions is D!
Hope this helps! :)
complete the ordered pairs so they satisfy the equation y=-2x+6
(0,6)
y=-2x(0)+6
y=6
(5,4)
y=-2(5)+6
y=-10+6
y=-4
(-7,20)
20=-2x+6
20-6=-2x+6-6
14=-2x
14/-2=-2x/-2
-7=x
Use a tape diagram. jason order 239,021, pounds of flour to used in his 25 bakeries. The company delivering the flour showed up with 451,202 pounds. How many extra pounds of flour were delivered?
Answer: There are 212,181 pounds of flour extra delivered.
Step-by-step explanation:
Since we have given that
Number of pounds of flour used in his 25 bakeries = 239,021
Number of pounds of flour is delivered = 451,202
we need to find the extra pounds of flour were delivered.
So, Number of extra pounds of flour were delivered is given by
[tex]451202-239021\\\\=212181\ pounds[/tex]
Hence, there are 212,181 pounds of flour extra delivered.
What value does the centi stand for
1 cm = (1/100) of a meter
centi is one one hundredth.
The volume of a rectangle prism can be computed by using the formula V=lwh.
Which equation is solved for h?
V = l*w*h we divide both sides by l*w and we get
(V / (l*w) ) = h
Ryan places a mirror on the ground 42 feet from the base of a tree. He walka backwards until he can see the top of the tree in the middle of the mirror. At that point, Jason's eyes are 6 feet above the ground and he is 7 feet from the image in the mirror. What is the height of the tree
36 ft. And you behind on apex btw
Answer: 36 feet
Step-by-step explanation:
Let x be the height of tree
From the question, we can see there is a directly proportional relationship.
therefore, [tex]\frac{\text{height of Jason's eye}}{\text{distance of mirror from Jason}}=\frac{\text{height of tree}}{\text{distance of tree from mirrror}}\\\\\Rightarrow\frac{6}{7}=\frac{x}{42}\\\\\Rightarrow\ x=\frac{42\times6}{7}\\\\\Rightarrow\ x=36\ feet[/tex]
Hence, The height of the tree= 36 feet
Adrianna says it costs $13 for 7 goldfish is she correct explain goldfish are $2
Based on the cost of $2 per goldfish, the total price for 7 goldfish would be $14, not $13 as Adrianna claimed.
Explanation:Adrianna's claim that it costs $13 for 7 goldfish does not seem correct given your statement that goldfish are $2 each. If each goldfish costs $2, then for 7 goldfish, the cost would be $2 x 7 = $14, not $13. It's important to recognize that the cost per goldfish can greatly influence the total cost when purchasing multiple goldfish.
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which of the following graphs represents the equation y+2=3(x-1)
For this case we have the following equation, in a linear way:
[tex]y + 2 = 3 (x-1)[/tex]
This expression can be written in the form [tex]y = mx + b[/tex]
Where "m" is the slope and "b" is the cut point with the y axis.
Rewriting the given expression we have:
[tex]y + 2 = 3x-3\\y = 3x-3-2\\y = 3x-5[/tex]
Thus, the slope is 3 and the cut point is -5.
To graph, we must find two points through which the line passes, so, we perform the following steps:
Step 1:
We do [tex]x = 0[/tex]
[tex]y = 3 (0) -5\\y = 0-5\\y = -5[/tex]
Thus, the point [tex](x1, y1) = (0, -5)[/tex]
Step 2:
We do[tex]y = 0[/tex]
[tex]0 = 3x-5\\5 = 3x[/tex]
[tex]x =\frac{5}{3}[/tex]
Thus, the point [tex](x2, y2) = (\frac{5}{3},0)[/tex]
Answer:
See attached image
Answer:
BAND THE NUMBERS ARE (0,3)IS UP AND (1,1) ARE DOWN
WISH THAT HELP
سبحان الله ,الحمدالله ,الله اكبر
There are six soccer balls and 10 footballs write the ratio as a fraction in simplest form
The ratio of soccer balls to footballs is 3/5.
Explanation:To write the ratio of soccer balls to footballs as a fraction in simplest form, you need to divide the number of soccer balls by the number of footballs. In this case, there are six soccer balls and ten footballs. So the ratio can be written as 6/10. To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 2. Thus, the ratio of soccer balls to footballs as a fraction in simplest form is 3/5.
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simplify: (3x-1)^1/2
12x+1
Hope this helps
Write 0.4 as a fraction.
[tex]0.4=\dfrac{4}{10}=\dfrac{2}{5}[/tex]
Using the place value chart we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4 out of 10 or [tex]\frac{4}{10}[/tex]. Notice however that [tex]\frac{4}{10}[/tex] is not in lowest terms so we need to divide both the numerator and denominator by the greatest common factor of 4 and 10 which is 5.
Therefore, 0.4 can be written as the fraction 2/5, which is in lowest terms.
Nine out of ten student prefer math class over lunch. How many students do not prefer math if 200 students were asked
Answer:
20 students do NOT prefer math over lunch.
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
If nine out of ten students ([tex]\frac{9}{10}[/tex]) prefer math class over lunch, then we can infer that one out of ten students ([tex]\frac{1}{10}[/tex]) do not.
[tex]\frac{1}{10} = 0.10[/tex] or 10%
As we can see, this equals a 10% of the students that were asked. If 200 students were asked, we would need to find what 10% of 200 would be. We can do this by multiplying 200 by the decimal form of 10% like so,
[tex]200 * 0.10 = 20 students[/tex]
So we can see that 20 students do NOT prefer math over lunch.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Mr.Collins is buying 5 train tickets for $36 each. What is the total cost of the tickets? Use the distributive property to solve.
Step-by-step explanation:
Topic :- Unitary method !!
[ Refer to the attachment ]Describe how you use place value to complete the chart?
Which system of equations is satisfied by the solution shown in the graph?
A. x + 2y = 6 and x − y = 10
B. x + y = 6 and x − 2y = 10
C. x + 2y = 10 and x − y = 6
D. x + y = 6 and x − y = -10
The system of equations satisfied by the solution shown in the graph are:
x + y = 6 and x − y = -10.
Option D is the correct answer.
We have,
To check which system of equations is satisfied by the solution (-2, 8), we substitute the values x = -2 and y = 8 into each equation of the given systems.
A.
x + 2y = 6
(-2) + 2(8) = 6
-2 + 16 = 6
14 ≠ 6
B.
x + y = 6
(-2) + 8 = 6
6 = 6
x − 2y = 10
(-2) − 2(8) = 10
-2 - 16 = 10
-18 ≠ 10
C.
x + 2y = 10
(-2) + 2(8) = 10
-2 + 16 = 10
14 ≠ 10
x − y = 6
(-2) − 8 = 6
-10 ≠ 6
D.
x + y = 6
(-2) + 8 = 6
6 = 6
x − y = -10
(-2) − 8 = -10
-10 = -10
From the above calculations, we can see that the solution (-2, 8) satisfies the equations in x + y = 6 and x − y = -10.
Therefore,
The system of equations satisfied by the solution shown in the graph are:
x + y = 6 and x − y = -10.
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M is the midpoint of segment AB. Find the coordinates of B given A(-1,3) and M(-3,5).
Answer:
The distance formula is an algebraic expression used to determine the distance between two points with the coordinates (x1, y1) and (x2, y2).
D=(x2−x1)2+(y2−y1)2−−−−−−−−−−−−−−−−−−√
D=(x2−x1)2+(y2−y1)2
Example
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−√=
D=(3−(−1))2+(4−1)2=
=16+9−−−−−√=25−−√=5
=16+9=25=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
(x1+x22,y1+y22)
Step-by-step explanation:
To find the endpoint B given midpoint M and endpoint A, we use the coordinates of the midpoint formula and solve for the unknown values. Plugging the given values into the formula, we solve for B and find that the coordinates of B are (-5, 7).
Explanation:In this particular instance, we are working with the concept of midpoints on a coordinate plane. Given that the point M(-3,5) is the midpoint of the segment AB and A(-1,3) is one endpoint, we are tasked to find the coordinates of point B, the other endpoint.
The formula for the coordinates of the midpoint is [(x1+x2)/2 , (y1+y2)/2]. This finds the average of the x-coordinates and y-coordinates of the two endpoints to find the point exactly in between, or the midpoint.
Since we are given one endpoint A(-1,3) and the midpoint M(-3,5) and are asked to find the other endpoint B, we should set up the equation using the known values and solve for the unknown values. We know that (-3,5) should equal [(-1+x2)/2 , (3+y2)/2]. Solving for x2 (x-coordinate of B) gives us x2 = -3*2 + 1 = -5. Solving for y2 (y-coordinate of B) gives us y2 = 5*2 - 3 = 7. Therefore, the coordinates of B are (-5, 7).
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Does 14.2857143 round to a whole number