Answer:
7 donkeys
Step-by-step explanation:
Given
A system consisting of donkeys and tourists
Heads = 50
Legs = 114
Required
Calculate number of donkeys.
Represent donkeys with D and tourists with T.
By means of identification; donkeys and tourists (human) both have 1 head.
This implies that
Number of Heads = D + T
50 = D + T ----- Equation 1
While each donkey have 4 legs, each tourists have 2 legs.
This implies that
Number of legs = 4D + 2T
114 = 4D + 2T ---- Multiply both sides by ½
114 * ½ = (4D + 2T) * ½
57 = 4D * ½ + 2T * ½
57 = 2D + T ----- Equation 2
Subtract equation 1 from 2
57 = 2D + T
- (50 = D + T)
---------------------
57 - 50 = 2D - D + T - T
7 = D
Recall that D represents the number of donkeys.
So, D = 7 implies that
The total number of donkeys are 7
if a=1 b =2and c= -3 find the value of a2b2c-2
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Evaluate the expression: 4x - 2y if x is 7 and y is -3
Plug in the values of the variables:-
\(\sf{4x-2y}\)
\(\sf{4(7)-2(-3)}\)
\(\sf{28+6}\)
\(\sf{34}\)
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Answer:
34
Step-by-step explanation:
We have to find the value of the expression ( 4x - 2y ).
Also, given that,
x = 7
y = -3
So, to find the value of the given expression, you have to replace x and y with 7 & -3 respectively.
Let us solve it now.
4x - 2y
4 × 7 - 2 × -3
28 + 6
34
Here is the histogram of a data distribution.What is the shape of this distribution?A.Unimodal skewed rightB.UniformC.Unimodal skewed leftD.BimodalE.Unimodal symmetric
Answer:
D. Bimodal
Explanation:
The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is
D. Bimodal.
Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.
On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).
To complete the pentagon, she can choose only from the points below.
(2, 0), (–2, 0), (–2, 4), (2, 4)
How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Answer:
D
Step-by-step explanation:
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Im pretty sure
Answer:
D
Step-by-step explanation:
If x=-3 what does 6+5x
Answer:
-9
Step-by-step explanation:
Plug in -3 for the x value to get 6 + 5 (-3). Multiply 5 by -3 to get -15 and subtract that number from 6 to get -9 as your final answer.
4. For each babysitting job, Adam charges a fee for his bus fare plus an hourly rate. The graph shows how he calculates the cost of a babysitting job. Write a linear function in the form
y = mx + b to represent the situation.
Ay = 3x+2
B. y = 3x+1
C. y = 6x+2
D. y = -6× + 2
y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job
x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).
y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.
y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.
y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.
y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.
Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.
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Marco wrote the expression (2x − 4y)2 = 4x2 − 16y2. Complete the explanation and correct his error.
Marco may have confused a difference of the squares and the square of a binomial
(select) difference or sum
.
He wrote the difference of the squares of the terms instead of the square of a
(select) binomial or trinomial
difference.
Step-by-step explanation:
Marco may have confused a difference of the squares and the square of a binomial
difference.
He wrote the difference of the squares of the terms instead of the square of a
binomial
difference
The correct answer should be
\( {4x}^{2} - 16xy + {16y}^{2} \)
Help me please! I’m really struggling on how to do this
Answer:
12 feet
Step-by-step explanation:
1 inch= 8 feet
1/2 inch= 4 feet
1/4 inch= 2 feet
(2x2)/2= 2 (one triangle)
2x4=8 (rectangle)
2+2=4 +8=12
^2 was added 2 times cause there are 2 triangles
(you did not need a 3rd measurement cause the triangle measurements were equal)
For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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See your levels
Mr. Camacho has 275 rubber stamps. He wants to give the same number of stamps to
each of his 8 students. If he gives away as many stamps as he can, how many stamps will be
left over?
Submit
rubber stamps
I do
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IM LEARNING 2022 IXL Learning. All rights reserved.
Answer:
3 Stamps left
Step-by-step explanation:
275/8=34.375
34*8=272
275-272=3
Answer: 3
state , giving reasons, which of the following if meaningless:
a. (-12, 0 ]
b. ( 1, -13 ]
Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.
What is intervals?An interval is a number or range of values between two endpoints.
The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.
The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.
The square bracket indicates that the endpoint 0 is included in the interval.
The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.
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what is probability scale to the sea will disapper
What are the x-intercepts of the graph below ?
Answer:
(3, 0)(-2, 0)Step-by-step explanation:
You want to identify the x-intercepts on the graph.
X-interceptAn "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.
The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...
(-2, 0) and (3, 0)
<95141404393>
Please help me it's due in 5 minutes!! I will give brainliest!
Answer:
\(110 + 11w\)
Step-by-step explanation:
Step 1: Distribute
\(11(10 + w)\)
\((11 * 10) + (11 * w)\)
\(110 + 11w\)
Answer: \(110 + 11w\)
(SAT Prep) Find the value of x.
Answer: 36˚
Step-by-step explanation:
180 - 3x = 2x
180 = 5x
.: x = 36˚
Can someone help me? please
Answer:
1/2
Step-by-step explanation:
It's a standard angle, you can find it on most charts
2 + x to the power of 3= 18 what is x
Answer:
2.5198421
Step-by-step explanation:
How many fluid ounces are there in 3 pints and 12 fluid ounces?
Answer:
60 fluid ounces
Mark my as brainliest please
what is the sum of 4x+4 and 4x^2-10x-4
Answer:
1. 4(x+1)
2. 2(2x2−5x−2)
The distribution of scores on a recent test closely followed a Normal Distribution with a mean of 22 points and a standard deviation of 2 points. For this question, DO NOT apply the standard deviation rule.
(a) What proportion of the students scored at least 19 points on this test, rounded to five decimal places?
(b) What is the 85 percentile of the distribution of test scores, rounded to three decimal places?
6.68% of the students scored at least 19 points on this test while the 85 percentile has a test score of 24.08 points
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
\(z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean.\sigma=standard\ deviation, x=raw\ score\\\\Given\ that\ mean(\mu)=22,standard \ deviation (\sigma)=2\\\\For\ x>19:\\\\z=\frac{22-19}{2}=1.5\)
P(x > 19) = P(z > 1.5) = 1 - P(z < 1.5) = 1 - 0.9332 = 0.0668
6.68% of the students scored at least 19 points on this test
b) 85 percentile corresponds to a z score of 1.04
\(z=\frac{x-\mu}{\sigma}\\\\1.04 =\frac{x-22}{2} \\\\2.08=x-22\\\\x=24.08\)
The 85 percentile has a test score of 24.08
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please answer!! will give brainliest
Answer:
8
Step-by-step explanation:
Mode is the number that appears the most times.
Answer:
8Step-by-step explanation:
Mode = the most popular value in the data set.
There are
2 sets of 73 sets of 8There is only 1 set of each: 6 and 9The most popular = 8
_________________
#StayPositive - kexcvi
A point in the table for the transformed function is
Answer:
linear function
Step-by-step explanation:
straight line then add up
rosa can run 400 meters in one min. if she runs at the same rate how may meters can she run in 5 min
Answer:
2000 meters
Step-by-step explanation:
400 * 5
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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I need to know this answer
The equation of the line is y = (3/2)x - 1/2.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).
Now,
The equation of a line.
y = mx + c
The line passes through points (3, 4) and (5, 7).
m = (7 - 4) / (5 - 3)
m = 3/2
Slope = 3/2 _____(1)
Now,
(3, 4) = (x, y)
4 = 3/2 x 3 + c
4 = 9/2 + c
c = 4 - 9/2
c = (8 - 9) / 2
c = -1/2
y-intercept = -1/2 ____(2)
Now,
y = mx + c
From (1) and (2),
y = (3/2)x - 1/2
Thus,
The equation of the line is y = (3/2)x - 1/2.
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The complete question.
Find the equation of a line that [passes through the point (2, 4), and (5, 7).
esse rode his bike for 2 hours at a constant rate. During the first 1.5 hours, he rode 12 miles. How many miles did Jesse ride his bike during the last half hour? (Enter an exact number.)
mi
In the last half hour 4 miles did Jesse ride his bike.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
Jesse rode his bike for 2 hours at a constant rate.
First 1.5 hours, he rode 12 miles.
According to given question we have
1.5 hours=12 miles
1 hours=12/1.5
0.5 hours=12*0.5/1.5
0.5 hours=4 miles
Therefore, in the last half hour 4 miles did Jesse ride his bike.
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Look at this graph:
у
100
90
80
70
60
50
40
30
20
10
х
0
10
20
30
40
50
60
70 80 90 100
What is the slope?
Answer: pretty sure it's 20
Step-by-step explanation:
Write the function
F(x)= 5x^2+10x+16 in standard form
Answer:
\(f(x) = 5x^2 + 10x + 16\)
Step-by-step explanation:
Given
\(f(x) = 5x^2 + 10x + 16\)
Required
Write in standard form
The standard form of a quadratic function is:
\(f(x) = ax^2 + bx + c\)
This implies that: \(f(x) = 5x^2 + 10x + 16\) is already in standard form
HELP FAST PLEASE
this is math plsss help
Step-by-step explanation:
Solving for the surface area of the cube:
2² (5 faces) = 20 ft²
Solvig for the surface area of the pyramid:
0.5 (2ft) (3ft) (4 faces) = 12 ft²
Total surface area = 20 + 12 = 32 ft²