Answer
A only (2,3)
Step-by-step explanation:
If you graph it or plug it into Desmos that can also help
The ordered pair (2,3) is a solution to the equation y-3=5(x-2), but the ordered pair (3,2) is not. Therefore, the correct answer is option A: Only (2,3).
Explanation:In this Mathematics problem, we are asked to find which ordered pair is a solution to the equation y-3=5(x-2). An ordered pair is written in the form (x, y), so we'll test each option to see which one, if any, is a solution to the equation.
Let's start with option A, (2,3). If we substitute x with 2 and y with 3, we will have 3-3 = 5(2-2), which simplifies to 0 = 0. This equation is true, so the ordered pair (2,3) is a solution.
Next, we'll look at option B, (3,2). If we substitute x with 3 and y with 2, we will have 2-3 = 5(3-2), which simplifies to -1 = 5. This equation is not true, so the ordered pair (3,2) is not a solution.
Option C suggests that both (2,3) and (3,2) are solutions, but we've already established that (3,2) is not a solution to the equation.
So, based on our calculations, the correct answer is option A: Only (2,3) is a solution.
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2 1/3 as a fraction
Answer: 7/3
Step-by-step explanation:
2 1/3 is in simplest form and is a mixed number. We can make this an improper fraction.
2 * 3 + 1 = 7
7/3
Answer:
7/3
Step-by-step explanation:
first you multiply the denominator by the whole number(2)
2x3=6
Then you add 1
2+1=7
Finally 7 goes up to the numerator and the denominator does not change so it stays 3
A line passes through the point
Answer:
Step-by-step explanation:
y + 20 = 3(x + 4)
y + 20 = 3x + 12
y = 3x - 8
answer is b
The graph below shows the relationship between the number of rides someone can ride and the total cost for three different amusement parks. Write and equation for Busters.
The correct interpretation is that the slope of the line is indeed 15, indicating that the cost of one admission ticket is $15, and point (1, 15) represents the unit rate.
The correct answer is option B.
The given graph illustrates the relationship between the number of people in a group and the cost of admission tickets. The statement correctly identifies that the slope of the line on this graph represents the unit rate of admission tickets.
The slope of a line on a graph signifies the rate of change between the two variables involved. In this context, the horizontal axis (x-axis) represents the number of people in a group, while the vertical axis (y-axis) represents the cost of admission tickets.
To compute the slope, you select two points on the line. The statement correctly utilizes the points (0, 0) and (1, 15) for this purpose. The slope formula, which is the change in y divided by the change in x, is applied as follows:
Slope = (y2 - y1) / (x2 - x1)
In this instance, x1 = 0, y1 = 0, x2 = 1, and y2 = 15. Substituting these values into the formula yields:
Slope = (15 - 0) / (1 - 0) = 15 / 1 = 15
This signifies that for each additional person in the group, the cost of admission tickets increases by $15. Consequently, $15 represents the cost of one admission ticket, and the point (1, 15) represents the unit rate.
Therefore, the conclusion that option B is the answer is accurate.
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The question probable may be:
The graph below shows the relationship between the number of people in a group and the total cost of admission tickets for a circus
A right pyramid with a regular hexagon base has a
base edge length of 4 ft and a height of 10 ft.
WY represents the height
If the area of an equilateral triangle with sides of 4 ft is
4/3 square feet, then the area of the regular hexagon
base is
6 3 square feet.
The volume is
vs
Answer:
Height, 24, 80, and cubic feet
Step-by-step explanation:
I just did this on edge-unity and it gave me that.
Area of the regular hexagon base is 24√3 square feet and the volume of the same is 80√3 cube feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that,
The base of a right pyramid is regular hexagon.
Edge length of regular hexagon = 4 feet
Area of equilateral triangle with sides 4 feet = 4√3 square feet
A regular hexagon can be divided in to 6 equilateral triangles.
Area of the base of the pyramid = 6 × area of an equilateral triangle
= 6 × 4√3
= 24√3 square feet
The volume of a hexagonal pyramid = [tex]\frac{\sqrt{3} }{2}[/tex] b² h
where h is the height and b is the edge length of the base.
Height of the pyramid = 10 feet and b = 4 feet
Volume = [tex]\frac{\sqrt{3} }{2}[/tex] 4² × 10 = 80√3 cube feet
Hence the area of the base is 24√3 square feet and volume is 80√3 cube feet.
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estimate the square root of 27 to the nearest whole number
show how you got the answer
Final answer:
To estimate the square root of 27, find the two nearest perfect squares which are 25 (5 squared) and 36 (6 squared). Since 27 is closer to 25, the square root of 27 is estimated to be 5.
Explanation:
To estimate the square root of 27 to the nearest whole number, we should look for two consecutive perfect squares between which 27 lies. The perfect squares closest to 27 are 25 (which is 5 squared) and 36 (which is 6 squared). The square root of 25 is 5 and the square root of 36 is 6. Since 27 is closer to 25 than to 36, we estimate that the square root of 27 is closer to 5. But, because 27 is more than 25, we know it must be slightly greater than 5, so the nearest whole number would be 5.
Raven is reading at half past 7. Her dad sets a timer for 45 minutes so she knows when
she needs to go to bed.
What time does she go to bed?
Answer:8:15
Step-by-step explanation: Because half past 7 means 7:30 and 7:30 + 45 minutes = 8:15.
Help me first on that answers wins brainliest!
Answer: Top row: -8. 2nd row: 1, -9. 3rd row: -5, 6, -15. 4th row: 3,-8, 14, -29.
Step-by-step explanation: Work from the bottom up.
The numbers that add up to -15 (to the left of -29) can be found by subtracting 15 from 29. 29-15=14. -29+14=-15.
The numbers that add up to -5 (to the left of -8) can be found by subtracting 5 from 8. 8-5=3. -8+3=-5.
The numbers that add up to 1 (next to -5) can be found by adding 1 and 5. 1+5=6. -5+6=1.
To find the number next to 1, add -15 and the number we just found between -5 and -15 (6). -15+6=-9.
To find the top number, add -9 and 1. -9+1=-8.
This explanation doesn't make the most sense, but it's how I found them.
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answer:
36.5
Step-by-step explanation:
The median is the middle number when all the numbers are put in order from smallest to largest
-41 -32 33 40 43 55
The middle is between the third and fourth number
We add the 3th and 4th number and divide by 2
(33+40)/2 =73/2=36.5
What is(f*g)(x)
f(x)=x³-4x+2
g(x)=x²+2
Answer:
there is no answer for that
Step-by-step explanation:
The questions on a test consist of 10 multiple choices, 3 essays, and 9 free responses. If the questions are ordered randomly, what is the probability that the first question is a free response?
• Give your answer as a fraction
Answer:
[tex]\frac{9}{22}[/tex]
Step-by-step explanation:
add all qestions together 10+3+9=22
and put the number of free responces on top of the total number of qestions
[tex]\frac{9}{22\\}[/tex]
and you cant simplify it so its in its simplist form
The probability that the first question is a free response is 9/22.
Probability is used to determine how likely it is that an event would occur. The chances that an event would happen 0 and 1. A value of 0 is attached to an event that does not occur and 1 if the event happens.
For example, if the probability that a football team plays a game. The probability that the team would win is 1 and the probability that the team would lose is 0.
The probability that the first question is a free response is the ratio of the number of free response to the total number of questions.
The probability that the first question is a free response = number of free responses / total number of questions
Number of free responses = 9
Total number of questions = 9 + 10 + 3 = 22
=9/22
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please help me i don’t wanna get this wrong
Answer:
D (option 4)
Step-by-step explanation:
Difference of medians:
110 - 80 = 30
Ranges:
Johnston: 140 - 80 = 60
30 = ½(60)
Martinville: 120 - 40 = 80
30 = ⅜(80)
Given the system of equations y = 6x - 10 and 2x + 3y = 10, is the point (2,2) a solution?
Answer:
Step-by-step explanation:
hello :
y = 6x - 10 (*)
2x + 3y = 10...(**)
by (*) put this value of y into (**) : 2x+3(6x-10)=10
2x+18x-30 = 10
20x=40 so : x= 2 but y = 6x - 10 y = 6(2)-10 =2
one solutions (2,2)
Explain the importance of putting your data set in order from least to greatest
Answer:
The mean may not be a fair representation of the date
Step-by-step explanation:
because the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.
The following data show the number of items in different shoppers' baskets at the health food store:
5, 1, 4, 3, 2, 3, 3, 4, 3
The data have been organized into a dot plot, as shown below:
A dot plot with integers 1 to 5 is shown. It is labeled Items and titled Items in Baskets. There is 1 dot above 1, 2 dots above 2, 4 dots above 3, 2 dots above 4, and 1 dot above 5.
For which number are the data plotted incorrectly? (2 points)
Answer:
There is two dots above 2 if this stays correct then 2 dots above 4 is incorrect.
Step-by-step explanation:
As there is only 1 ( 2 dot ) there should not be two dots above 2.
5!·4! is equivalent to:
Answer:
20!
Step-by-step explanation:
Answer:
2880 or 20!
Step-by-step explanation:
Whenever you have a number with a (!) after it, it means that the number is in factorial. So if you have a equation like 3!, it would be equal to 3·2·1. So in that case—
5! = 1·2·3·4·5
We can multiply this sequence of numbers simply.
1·2·3·4·5=120
Now, since we have the first factorial, we move on to the second.
4!=1·2·3·4
Again, we can multiply this sequence simply.
1·2·3·4=24
Now we move on to the final step. We have factoriazed the numbers, so we can substitute those in the equation.
120·24
Now we can finally multiply these 2 numbers to get your answer.
120·24=2880
That is the evaluation.
If you want to simplify the expression, multiply the numbers.
4!·5!=20!
Solve the equation.
5x + 8 - 3x = -10
x = -9
x = -1
x = 1
x = 9
Answer: A, x= -9
I have a site that I will tell you about if you want
Answer:
a
Step-by-step explanation:
Use the multiplier method to decrease £262 by 39%
You must show your working.
When you decrease £262 by 39% using the multiplier method, you get £159.82 as the result.
To decrease £262 by 39% using the multiplier method, follow these steps:
Convert the percentage decrease to a decimal:
39% = 0.39
Calculate the multiplier (the factor by which you'll multiply the original amount to decrease it):
Multiplier = 1 - Percentage Decrease (as a decimal)
Multiplier = 1 - 0.39
Multiplier = 0.61
Multiply the original amount by the multiplier to find the decreased amount:
Decreased Amount = Original Amount × Multiplier
Decreased Amount = £262 × 0.61
Now, calculate the decreased amount:
Decreased Amount = £159.82
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What is the sum of (6p^2+3) and (6-5p^3+3p^2)
the sum of (6p^2+3) and (6-5p^3+3p^2) is
[tex](6p^2+3)+(6-5p^3+3p^2)= 6p^2+3+6-5p^3+3p^2=-5p^3+9p^2+9[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/
Answer:
9 P ^ 2 + 9 - 5 p ^ 3
Step-by-step explanation:
6p^ 2 + 3 + 6 - 5p ^ 3 + 3p ^ 2
On a circular playground, the distance from its center to the edge of the playground is 37 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
17,194.64 ft
B.
4,298.66 ft
C.
116.18 ft
D.
232.36 ft
Step-by-step explanation: Its D.
Circumference equals 2 * pi * radius. Your radius is 37 feet. So 2*2.14*37
and that equals 232.36
Final answer:
The circumference of a circular playground with a radius of 37 feet, using 3.14 for pi, is approximately 232.36 feet. The correct answer is option D.
Explanation:
To calculate the circumference of a circular playground, we can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the playground. In this case, the radius is given as 37 feet.
Substituting the values, we get:
C = 2 × 3.14 × 37
C = 2 × 3.14 × 37
C = 6.28 × 37
C ≈ 232.36 feet
Therefore, the approximate circumference of the playground is 232.36 feet.
if f(x) = -x2 + 4x - 9 and g(x) = x - 8, find g(f(-1))
Answer:
-22
Step-by-step explanation:
f(x) = -x2 + 4x - 9
g(x) = x - 8,
g(f(-1))
First find f(-1)
f(-1) = - (-1)^2 + 4(-1) - 9 = -1 -4-9 = -14
The find g(-14)
g(-14) = -14-8 = -22
6⁄5 × 1 3⁄4 × 2 3⁄2 =
Answer:
147/20 = 7,35
Step-by-step explanation:
6/5 × 7/4 × 7/2 = 3/5 × 7/4 × 7 = 147/20 = 7,35
Nearest dollar to $624.52 ?
Answer:
$625
Explanation:
The tenth place is 5.
when you round, less than five and the number stays the same, five or more and it raises one
0.032 56 3 s.f. please help
Answer:
0.0326
Step-by-step explanation:
0.032 56 3
In 3 sf, would be
0.0326
Given Ohm's Law, V=IR
which of the following operations will solve for I
I?
Answer:
Divide both sides by "R".
V = IR
V/R = I
Step-by-step explanation:
y = 2x + 1
y = -x + 4
2y = -2x + 8
3y = 9
y = 3
3 = 2x + 1
2x = 2
x = 1
Answer
x = 1
y = 3
Hope this helps :)
Mario programs his helicopter to fly at a target with a velocity (speed and direction) of p. The direction of p is
due east, and its speed is 6 m/s.
To Mario's dismay, the wind causes his helicopter to actually fly with a velocity a, and it misses its target. The
direction of ā is 30° south of east, and its speed is 5 m/s.
(Assume "due east" is 0°, "due north" is 90°, and so on.)
What is the speed of the wind?
m/s
(Round your final answer to the nearest tenth.)
In what direction is the wind blowing?
(Round your final answer to the nearest degree. Your answer should be between 0 and 360°.)
Answer:
3.0 m/s236.3°Step-by-step explanation:
The wind speed can be found using the Law of Cosines. It will be the unknown side of a triangle with sides 6 and 5 and included angle 30°.
s^2 = 6^2 +5^2 -2·6·5·cos(30°) ≈ 9.038476
s ≈ √9.038476 ≈ 3.0064 . . . . m/s
The direction of the wind can be found from the Law of Sines, which tells us the relationship of the internal angle A to velocity vector a is ...
sin(A)/a = sin(30°)/3.0064
A = arcsin(5/3.0064·sin(30°) ≈ 56.26°
To find the desired angle, we must add 180° to this value.
The wind is blowing 3.0 m/s in direction 236.3°.
Kathleen says that quadrilaterals have right angles Gray says that quadrilaterals do not have to have right angles explain who is correct
Both types of quadrilaterals do exist, so neither of them is correct.
Who is correct?Well, actually neither of the two kids is correct.
There are quadrilaterals that have internal right angles, such as the square or the rectangle, but there are also quadrilaterals whose internal angles do not measure 90°, like the case of the rhombus.
Then there are quadrilaterals with right angles and quadrilaterals without right angles, then neither Kathleen nor Gray are correct, because both types of quadrilaterals do exist.
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Answer:
Neither of them are correct because both do exist but they are not right
Step-by-step explanation:
Plz help will give brainiest to the first person who answers this correctly plz helpppp!!!!
Its B please brainleiest
What's the awnser for this ×+5=-3×+25
Answer:
x=5
Step-by-step explanation:
x+5 = -3x+25
Add 3x to each side
x+3x+5 = -3x+3x+25
4x +5 = 25
Subtract 5 from each side
4x+5-5 = 25-5
4x = 20
Divide each side by 4
4x/4 = 20/4
x =5
Answer: x=5
Step-by-step explanation:
x+5= 3x+25
collect like terms
subtract
4x=20
divide both sides by four
x=5
Andre is ordering ribbon to make decorations for a school event. He needs a total of
exactly 50.25 meters of blue and green ribbon. Andre needs 50% more blue ribbon than
green ribbon for the basic design, plus an extra 6.5 meters of blue ribbon for accents.
How much of each color of ribbon does Andre need to order?
Answer before 5:00pm
Answer:
Let g = length of green ribbon.
So 1.5g + 6.5 = length of blue ribbon.
g + 1.5g + 6.5 = 50.25
2.5g = 43.75
g = 17.5 meters of green ribbon
1.5(17.5) + 6.5 = 32.25 meters of blue ribbon