Answer:
A) the set of integers is commutative under operation '-'
The commutative property holds for Addition and Multiplication, but not for subtraction and division.
So, option (D) is correct.
The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer.
The commutative property holds for Addition and Multiplication,
Example, [tex]2+4=4+2[/tex]
[tex]3*2=2*3[/tex]
The commutative property does not holds for subtraction and division.
Example, [tex]3-2\neq 2-3[/tex]
[tex]4/2\neq 2/4[/tex]
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please help me I’m struggling :( , sorry about it being sideways.
which expression is equivalent to
Answer:
3
Step-by-step explanation:
"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =
(1/x^1)*y^(0.5)*(1/z^2) = 3
Answer:
Third one.
Step-by-step explanation:
The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.
38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
(14)+(-11) plz help idk what it is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
(14)+(-11)=3
Quadrilaterals ABCD and PQRS shown below are two similar figures.
Find the values of x and y.
Answer:
x = 12, y = 16
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{AD}{PS}[/tex] = [tex]\frac{DC}{SR}[/tex] , substitute values
[tex]\frac{20}{2x+6}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )
18(2x + 6) = 540 ( divide both sides by 18 )
2x + 6 = 30 ( subtract 6 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
-------------------------------------------
and
[tex]\frac{AB}{PQ}[/tex] = [tex]\frac{DC}{SR}[/tex] , substitute values
[tex]\frac{y}{24}[/tex] = [tex]\frac{18}{27}[/tex] ( cross- multiply )
27y = 432 ( divide both sides by 27 )
y = 16
which phrase represents the algebraic expression 3p + 6
Answer:9p
Step-by-step explanation:
27 131 Marks
Altogether, I have 10 bags of sweets.
The mean number of sweets in the bags is 42.
The table shows how many sweets there are in 9 of the bags.
Number of sweets
in a bag
Frequency
39 1
40 2
41 5
42 0
43 1
How many sweets are in the 10th bag?
Answer:
The number of sweets in the 10th bag is 53
Step-by-step explanation:
Given
Let the Number of sweets in a bag be represented by x and frequency be represented by f
The table is as follows
x F
39 1
40 2
41 5
42 0
43 1
Mean = 42
Required
How many sweets are in the 10th bag?
Represent the number of sweets in the 10th bag by y;
The table becomes
x F
39 1
40 2
41 5
42 0
43 1
y 1
The mean of observation is calculated using the following formula;
Mean = ∑fx/∑f
Where ∑ means summation
fx means f * x; i.e. product of frequency and number of sweets
f represents frequency;
Calculating ∑fx
∑fx = 39 * 1 + 40 * 2 + 41 * 5 + 42 * 0 + 43 * 1 + y * 1
∑fx = 39 + 80+ 205 + 0 + 43 + y
∑fx = 367 + y
Calcuating ∑f
∑f = 1 + 2 + 5 + 0 + 1 + 1
∑f = 10
Recall that
Mean = ∑fx/∑f and Mean = 42;
So, Mean = ∑fx/∑f becomes
[tex]42 = \frac{367 + y}{10}[/tex]
Multiply both sides by 10
[tex]42 * 10 = \frac{367 + y}{10} * 10[/tex]
[tex]420 = 367 + y[/tex]
Subtract 367 from both sides
[tex]420 - 367= 367 -367 + y[/tex]
[tex]53 = y[/tex]
[tex]y = 53[/tex]
Hence, the number of sweets in the 10th bag is 53
The total number of sweets in the 10th bag is 53 and this can be determined by using the formula of the mean.
Given :
The total number of bags is 10.The mean number of sweets in the bags is 42.The table shows how many sweets there are in 9 of the bags.The following steps can be used in order to determine the total number of sweets in the 10th bag:
Step 1 - The formula of the mean can be used in order to determine the total number of sweets in the 10th bag.
Step 2 - The formula of mean is given below:
[tex]{\rm Mean}= \dfrac{\sum f \times x}{\sum f}[/tex]
Step 3 - Now, substitute the values of the known terms from the given table in the above expression.
[tex]{\rm Mean}= \dfrac{39 \times 1+40 \times 2+41 \times 5+42 \times 0+43 \times 1+y \times 1}{1+2+5+0+1+1}[/tex]
Step 4 - Simplify the above expression.
[tex]\begin{aligned}\\42&= \dfrac{367+y }{10}\\y &=53 \\\end{aligned}[/tex]
So, the total number of sweets in the 10th bag is 53.
For more information, refer to the link given below:
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perform the indicated operation 5/11 + 9/11
Answer:
It would be 14/11
when you make it a mixed number, it'll be 1 3/11
Step-by-step explanation:
You can't simplify it more than 3/11 so
1 3/11
Let f(x) = 4x3 + 3x2 − 20x − 15 and g(x) = 4x + 3. Find f of x over g of x.
x2 − 5
4x2 + x
x2 − 5x
4x2 + 12
Answer:
not B
Step-by-step explanation:
I took the test
Fatima has 72 oranges. Four oranges are needed to make a glass of freshly squeezed orange juice. How many glasses of orange juice can she make?
Answer:
Step-by-step explanation:
18
The length of the unknown slide is?
Answer: 10.8
Step-by-step explanation:
We can use the Pythagorean Theorem to solve this.
a^2 + b^2 = c^2
6^2 = 36
9^2 = 81
36 + 81 = 117
square root of 117 is 10.8
A certain brand of candy is sold by weight, with a 3 oz bag costing $0.75. if a bag of this candy costs $2.00, what does it weight
Answer:It weights 8 oz.
Step-by-step explanation:
[tex]\frac{3}{0.75} = \frac{x}{2}[/tex] solve by cross product
0.75x = 6 now divide both sides by 0.75
x= 8
I need help pleaseeee
Answer:
8.4375
Step-by-step explanation:
multiply 2.5 times 2.25 times 1.5
lenght x width x height
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
PLEASE GIMMI ANSWER ASAP
Sharon wants to buy a shirt that cost 40$. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt.
100% + 5% = 105 %
105/100 x 40$ = 42$
Answer:
hi the answer is 2$
Step-by-step explanation:
40 divided by 10 is 4 divided by 2 is 2
tell me if you need any more help please mark as brainliest
How many unique triangles can be made when one angle measures 90° and another angle is half that measure? 1 2 More than 2 None
Answer:
1
Step-by-step explanation:
I'm not sure if I read your question right, but if one angle is 90 and the other should be half the angle 90, the other angle must be 45. Thus, this would create a 45-45-90 triangle. There is no other possibility if one of the angles must be half that of the 90 degree angle.
Answer:
1
Step-by-step explanation:
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?
A. $18 tickets cost $10 AND 52 tickets cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
WILL GIVE BRAINLIEST WHEN I CAN!!!!!!
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
If you want to learn more about systems of equations, you can read:
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I need help really bad plsss
Answer:
0
Step-by-step explanation:
(f-g)(x) = 12-sqrt(x)
plugging in 144, we get 12 - 12 = 0
one could also do f(x)-g(x) which would yield 24-24=0
Compare and contrast :
1. Directed graph and indirected graph
2 Weighted and unweighted graph
find the initial value of the function x + 3y = 18
Choose the highest common factor (HCF) of 6xy^3 and 9x^2y
A= x^2y^3
B= 3xy
C= 54x^3y^4
D=18x^2y^3
Answer:
B= 3xy
Step-by-step explanation:
6xy^3= 2ₓ3ₓ x ₓyₓyₓy
9x^2y= 3ₓ3ₓ x ₓ x ₓ y
common factors = 3, x , y
HCF: 3 ₓ x ₓ y
=3xy
Can you explain the example 4 pls
Answer:
x = -3/4
Step-by-step explanation:
15/4 - 7x = 9
When solving these types of equations, you want to isolate the variable
Subtract 15/4 from both sides to get
-7x = 21/4
Divide both sides by -7 to get
x = -3/4
Answer:
x = -3/4
Step-by-step explanation:
what is the solution to the system of equation below Y equals -1/3 X +6 and X equals -6
Answer:
y = 8
Step-by-step explanation:
y= [tex]\frac{1}{3} x[/tex] + 6
[tex]x[/tex] = -6
y=([tex]\frac{1}{3}[/tex] x 6) + 6
y= 2+6 = 8
Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces
Answer: the correct answer will be 27/31
Step-by-step explanation:
Cancel mom please help me with this I’m stuck and I don’t know how to do this
Answer:
20
Step-by-step explanation:
The triangles are similar so we can use ratios
8 32
--- = -----
8+5 32+x
Using cross products
8(32+x) = 32(13)
Divide each side by 8
(32+x) = 32(13)/8
32+x = 4*13
32+x =52
Subtract 32
x = 20
The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of aaa is 0, but b is not zero. Where could point P be located on the coordinate plane?
Answer:
On the y-axis line
Step-by-step explanation:
Given the location (a,b) of the point P on the coordinated plane.
If a=0
Then the location of P on the x-axis is at x=0
Since b is not equal to zero, b could be positive or negative.
Therefore, the point P could be located on the positive y-axis or the negative y-axis,
It must be exactly on the line.
pls help me pls pls pls help me. thanks.
Answer: y = 3
Step-by-step explanation:
14/y - 2/3 = 4
14/y = 4 + 2/3
14y = 14/3
y = 3
If 2x - 9y = 14 and 6x = 42 +y, what is the value of the product xy?
Answer:
The product x time y is zero (0)
Step-by-step explanation:
Notice that you are given a system of two equations with two unknowns, so, let's proceed to find the unknowns by the method of substitution (easiest since it is very simple to find "y" in terms of 'x" from the second equation).
Then we use that expression to substitute for "y" in the first equation and solve for x:
[tex]6x=42+y\\y=6x-42\\Then:\\2x-9y=14\\can\,\,be\,\,written\,\,as:\\2x-9(6x-42)=14\\2x-54x+372=14\\-52x=-364\\x=(-364)/(-52)\\x=7[/tex]
Now we use this result in the substitution equation to find the value of "y":
[tex]y=6x-42\\y=6\,(7)-42\\y=42-42\\y=0[/tex]
Then, the product x times y is: 7 times 0 = 0
The product renders zero (0)
Inscribed Angles - Find the value of x - WILL GIVE BRAINLIEST!
Answer:
137
Step-by-step explanation:
The degrees of the inscribed arc of 43 is 43 * 2 = 86
Since the total degrees in a circle is 360, x is equal to
(360-86)/2 = 137
Answer:
x = 137
Step-by-step explanation:
opposite angles are supplementary when they are in a quadrilateral inscribed in a circle
43+x = 180
Subtract 43 from each side
x =180-43
x=137
HELP QUICKLY Christina and Youssef work in office buildings that are 80 feet away from each other. From the top of her office building, Christina notices that the angle of elevation to the top of Youssef’s building is 45°. The angle of depression from Christina to the base of Youssef’s building is 56°. Find the height of Youssef’s office building, rounded to the nearest tenth of a foot.
Answer:
About 198.6 feet
Step-by-step explanation:
This situation essentially forms a sideways triangle with height 80 feet. It can be divided into two right triangles, which you can each find the base length for, and then add them together to find the total height of the building.
Let's start with the lower base (with the angle measure of 56 degrees), which we'll call b. The tangent of an angle in a right triangle is the length of the opposite side divided by the length of the adjacent side, meaning that:
[tex]\tan 56=\dfrac{b}{80} \\\\b=80 \cdot \tan 56\approx 118.6[/tex]
Now, let's do it for the upper part, which we'll call y:
[tex]\tan 45=\dfrac{y}{80} \\\\y=\tan 45 \cdot 80=1 \cdot 80 =80[/tex]
Adding these together, you get a height of approximately 198.6 feet. Hope this helps!
Answer:
answer is 198.6
Step-by-step explanation:
