Answer: There are 95 tables in the middle group
Step-by-step explanation:
There are a total number of 250 tables.
There are three groups.
We know how many tables the left and right groups have
let x be the number of tables in the middle
75+80+x=250
155+x=250
x=95
Marco wants to know how much the other students in his mathematics class study. He recorded the data he collected in
the following table.
Time spent studying per week (in hours)
2.0
5.0
1.0
2.5
2.5
3.5
0.0
4.5
2.5
4.0
3.5
3.0
2.0
1.5
4.0
2.0
0.5
3.0
1.0
3.0
3.5
1.5
1. Construct a histogram for the data.
Answer:
Step-by-step explanation:
This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.
While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
The window has the shape of a kite. How many square meter of glass were used to make the window?
40 cm
45 cm,
35 cn
40 cm
The area of glass used to make the window is 3200 sq. cm.
What is a kite?A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;
area of a kite = (length of diagonal 1 * length of diagonal 2) / 2
Therefore to determine the square meter of glass used to make the window in the given question, we have;
length of diagonal 1 = 40 + 40
= 80 cm
length of diagonal 2 = 35 + 45
= 80 cm
area of the window = (80*80)/2
= 6400/2
area of the window = 3200 sq. cm.
Therefore, 3200 sq. m. of glass was used to make the window.
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After plotting the data where x=the side of a polygon, and f(x) = the area of the polygon, Jack used technology and
determined the appropriate model to approximate the area of the polygon, F(x) = x^2 + 3x + 2. Use the model Jack
created to predict the area of a polygon that has a side length of 3.
10
18
19
020
Answer: 19
Step-by-step explanation:
As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1
Therefore, f(3) = 19
What will answer the question 2+2?
Answer: 4.
Step-by-step explanation: 2 + 2 is 4.
The measure of angle 1 is 27 degrees.
Complement:
Supplement:
Answer:
Complement: 63°
Supplement: 153°
Step-by-step explanation:
NOTE: Supplementary angles are two angles that have a sum of 180°. Complementary angles are two angles that have a sum of 90°.
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Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
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Pythagorean triples are given by these formulas:
(2²-37, 2zy, z²+37²)
The hypotenuse of a right triangle is 29. The lengths of the legs are whole numbers. List your answers in increasing
order.
The lengths of the two legs are
and
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
We have,
The formula given is incorrect.
The correct formula for Pythagorean triples with a given integer z is:
(z² - 1², 2z, z² + 1²)
Using this formula, we can find the two legs of the right triangle with hypotenuse 29 as follows:
z² + 1² = 29²
z² + 1 = 29²
z² = 29² - 1
z² = 840
z = √840
z = 28.98
Since z must be an integer, we can try integer values close to 28.98 to find one that works.
Trying z = 29,
a = z² - 1² = 840 - 1 = 839
b = 2z = 58
c = z² + 1² = 840 + 1 = 841
Therefore,
The lengths of the two legs of the right triangle are 58 and 839, in increasing order.
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PLEASE ANSWER AS SOON AS YOU CAN I WILL MARK BRAINLY
Answer:
it is A (9,7)
Step-by-step explanation:
it is moving up 5 units so that means that the 4 in (4,7) is a y so on the y- axis it will go up 5 so 4 plus 5 is 9 and the X stays the same which is 7
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
evaluate for the value of sum and x after the following code is executed. sum is initialized to 4. x is initialized to 2.
The value of the given sum after the execution of code segment is equal to 16.
As given in the question,
Using attached code segment.
Given values are:
num1 = 6
num2 =4
num3 =10
Value of sum after execution of code segment is given by:
num1 < num2
⇒ 6< 4 which is false.
Else num3 = num2
⇒ num3 = 4
num2≥ num3
⇒4 ≥ 4
True as 4 =4
num1 = num2 + num3
= 4 + 4
= 8
Final sum = num1 + num2 + num3
= 8 + 4 + 4
= 16
Therefore, using code segment the value of the sum is equal to 16.
The given question is incomplete, I answer the question in general according to my knowledge:
What is the value of sum after the code segment is executed?
code segment is attached:
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Find the dilated coordinates
1) P(-5, -6). Q(-1,2). R(4,4), $(1.-3)
Scale factor = 2
P:
R:
S.
Answer: p:(–10, –12)
r:(8, 8) s:(2, –6)
Step-by-step explanation:
thats the answers
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
HELP me with this pls
Answer:
1/3 × 4/3
Step-by-step explanation:
because
if a/b ÷ c/d
the behind one > c/d >must change to > d/c
so a/b × d/c
Which represents the
inverse of the function f(x) = 4x?
O h(x) = X + 4
O h(x) = x-4
h(X%) = %x
h(x) = =x
\(f^{-1}(x)=x/4\)Answer:
Step-by-step explanation:
Let \(f(y)=x\)
So 4y=x
y = x/4
Meaning
Wendy is making potato salad for a picnic. One sack of potatoes weighs 14 pounds.What is the weight of a sack of potatoes in ounces
Answer:
224 ounces
Step-by-step explanation:
1 pound is 16 ounces, 14 multiplied by 16 is 224
every pound equal 16 ounces so 14 × 16 = 224
what is the answer to 8 + k ≤ -3
Answer:
less than or equal to -11
Step-by-step explanation:
subtract 8 to both sides
k< or equal to -11
In the rhombus, mZ1 = 140. What are mZ2 and mZ3? The diagram is not to scale.
gjgb go ftc in the class is not a short time to be be free and ear is not a short time to
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.
Answer:
x=4 and y=3
Step-by-step explanation:
put one of the equations in slope form and solve
Answer:x=4 y=3
Step-by-step explanation:
5x-4y=8.............(1)
2x+y=11................(11)
From (11) y=11-2x
Substitute y=11-2x in 5x-4y=8
5x-4y=8
5x-4(11-2x)=8
Open bracket
5x-44+8x=8
Collect like terms
5x+8x=8+44
13x=52
Divide both sides by 13
13x/13=52/13
x=4
Substitute x=4 in 2x+y=11
2(4)+y=11
8+y=11
Collect like terms
y=11-8
y=3
Use elimination (and permutation) matrices to put the following matrices in upper triangular form: (a)
A= | -1 -1 -1 1
-1 -1 1 -1
-1 1 -1 -1 1 -1 -1 -1| (
(b) B = | 1 0 1
2 2 2
3 4 5 |
At each step, determine which elimination (or permutation) matrix you used, and determine what resulting matrix you obtain. The final result should be upper triangular.
a) The elimination matrices used were E1, E2, and E3.
b) Three times the first row from the third row, using the elimination.
(a) To put matrix A into upper triangular form, we can use elimination matrices to eliminate the entries below the diagonal.
First, we can add the first row to the second and third rows, using the elimination matrix
E1 = |1 0 0|
|1 1 0|
|1 0 1|
E1A = | -1 -1 -1 1
0 -2 0 0
0 0 -2 0
1 -1 -1 0
1 -1 -1 -1
1 -1 -1 -1
1 -1 -1 -1
1 -1 -1 -1|
Next, we can add the second row to the third row, using the elimination matrix
E2 = |1 0 0|
|0 1 0|
|0 1 1|
E2(E1A) = | -1 -1 -1 1
0 -2 0 0
0 0 -2 0
1 -1 -1 0
0 -2 -2 -1
1 -1 -1 -1
1 -1 -1 -1
1 -1 -1 -1|
Finally, we can add the fourth row to the fifth, sixth, seventh, and eighth rows, using the elimination matrix
E3 = |1 0 0 0 0 0 0 0|
|0 1 0 0 0 0 0 0|
|0 0 1 0 0 0 0 0|
|0 1 0 1 0 0 0 0|
|0 0 0 0 1 0 0 0|
|0 0 0 0 0 1 0 0|
|0 0 0 0 0 0 1 0|
|0 0 0 0 0 0 0 1|
E3(E2E1A) = | -1 -1 -1 1
0 -2 0 0
0 0 -2 0
1 0 -2 1
0 -2 -2 -1
0 -2 -2 -2
0 -2 -2 -2
0 -2 -2 -2|
Therefore, the upper triangular form of A is:
| -1 -1 -1 1
0 -2 0 0
0 0 -2 0
0 0 0 -2
0 0 0 0
0 0 0 0
0 0 0 0
0 0 0 0|
The elimination matrices used were E1, E2, and E3.
(b) To put matrix B into upper triangular form, we can use elimination matrices to eliminate the entries below the diagonal.
First, we can subtract twice the first row from the second row, using the elimination matrix
E1 = |1 0 0|
|-2 1 0|
|0 0 1|
E1B = | 1 0 1
0 2 0
3 4 5|
Next, we can subtract three times the first row from the third row, using the elimination
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I need help with add and sub poly
Answe\(10c^{2} +5c+4\)
Step-by-step explanation:
Step 1 -(((6•(c2))-2c)-1)+((22c2+7c)+5)
Step 2-(((2•3c2) - 2c) - 1) + (4c2 + 7c + 5)
in conclusion, you get \(10c^{2} +5c+4\)
I hoped i have helped u have a wonderful day or night !
Write how many tens. Then add.
60+ 10 =
Enter the correct numbers in the boxes.
Tens + tens = tens
Answer:
60 contain 6 tens
then
60+10
contain
7 tens
the
correct answer
is
7 tens
Answer:
6 tens + 1 ten = 7 tens
Step-by-step explanation:
6 tens = 60
1 ten = 10
7 tens = 70
Angles 1 and 2 form a right angle.Which word describes their measures?
Answer:
90 degree angle because a right angle is always 90 degrees
Answer:
Step-by-step explanation:
complementary angle- adds to 90°
A rectangular room is 1.9 times as long as it is wide, and its perimeter is 28 meters. Find the dimensions of the room
Answer:
Length = 10.81 m
Width = 5.69 m
Step-by-step explanation:Let the width of the room be .
As per question, length is 1.9 times its width.
Therefore, length is,
Perimeter is 33 meters.
Perimeter is given as,
Therefore, width of the room is 5.69 m.
Length of the room is,
Therefore, the length of the room is 10.81 m.
your welcome
You should plan on 1 1/2 pounds of turkey per person. Your family is having 10 people for Thanksgiving dinner. How many pound turkey should you plan to buy?
Answer:
Weight of total turkey need = 15 pound turkey
Step-by-step explanation:
Given:
Turkey need per person = 1\(\frac{1}{2}\) pound turkey = 3/2 pound turkey
Total person = 10
Find:
Weight of total turkey need
Computation:
Weight of total turkey need = (3/2)(10)
Weight of total turkey need = 15 pound turkey
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Consider a recent interaction you have had with a co-worker or item that you saw in the media that might have included logical errors.
Share the example as well as the logical errors that are present in the example.
Discuss some common applications of logic
Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.
What is Logical Error/Fallacies?
Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.
Basic Logic - knowing the study of current reasoning is basic logic.
Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.
Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the promises that he did.
Legislative assembly member's contestant told in his addressing that we promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .
Therefore, this is an example of logical error.
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What is the MAD of this data ? Round to the nearest hundredth. 7, 14, 15, 9, 11, 14, 11, 10, 17
Step 1 :
Find the mean of the data :
(2+4+6+8) / 4 = 20/4 = 5
Step 2 :
Find the distance between each data and mean.
Distance between 2 and 5 is 3
Distance between 4 and 5 is 1
Distance between 6 and 5 is 1
Distance between 8 and 5 is 3
Step 3 :
Add all the distances :
3+1+1+3 = 8
Step 4 :
Divide it by the number of data :
8 / 4 = 2
2 is the average absolute deviation.
So hence, your answer is 2.67"The beautiful thing about learning is that no one can take it away from YOU"
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A scientist estimates that there are about 10²⁴ stars in the universe in that each galaxy has on average approximately the same number of stars in the Milky Way galaxy. How many galaxies are there in the universe write your answer as a power?
Since the Milky Way galaxy has 10x10^10 stars, we have that:
\(10x10^{10}=10^{11}\)Now we divide the number of stars in the universe by 10^11:
\(\frac{10^{24}}{10^{11}}=10^{24-11}=10^{13}\)therefore, there are about 10^13 galaxies in the universe