Answer:
THe HCF is 4 and the LCM is 24. The sum of 24 and 4 is 28. The answer is 28.
Step-by-step explanation:
HCF:
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12.
LCM:
8: 8, 16, 24, 32, 40
12: 12, 24, 36, 48
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates
A (1,4);B(3,−2); and C(4,2).
Find the coordinates of the image
A'B'C' after a reflection over the x-axis.
Given:
Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).
Triangle ABC reflected over the x-axis to get the triangle A'B'C'.
To find:
The coordinates of the image A'B'C'.
Solution:
If a figure reflected over the x-axis, then rule of transformation is
[tex](x,y)\to (x,-y)[/tex]
Now, using this rule, we get
[tex]A(1,4)\to A'(1,-4)[/tex]
[tex]B(3,-2)\to B'(3,2)[/tex]
[tex]C(4,2)\to C'(4,-2)[/tex]
Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).
Of the students in the marching band, 55%
plan to go to the school dance. If there are
110 students in the marching band that are
going to the dance, how many students
are in the marching band?
The answer is 200 because when you divide 110 from 55% you get 200.
Of the students in the marching band, 55% plan to go to the school dance, so there are 200 students in the marching band.
What is Percentage?A certain portion or amount in every hundred is referred to as a percentage. The fraction is denoted by the sign "%," and its denominator is 100.
The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
From the given values in the question,
Assume that total number of students in marching band is x.
55% of x = 110 or,
(55/100) × x = 110
x = (110 × 100) / 55
x = 200.
Hence, it concludes that there are total 200 students are in the marching band.
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Candice is searching online for One Direction tickets. Last week, the cost for front row seats was $250, but today it is $300. What is the percent of increase in the price of the ticket?
a. 50%
b.20%
c.10%
d.30%
The neutral point of your glider depends on what?
Answer:
The size of the wing and the size of the horizontal stabilizer
Step-by-step explanation:
What is 64*84 show work
Answer:
4,352
Step-by-step explanation:
6 4
× 6 8
-----------------------------
+ 5 1 2
+ 3 8 4
= 4 3 5 2
Mrs. Johnson wants to order pizza for her students. There are 21 students in her class Her goal was for each student to get 1/5 of a pizza. How many pizza's does she need to order?
Answer:
5 and she will have 4/5 remaining.
Step-by-step explanation:
If you multiply the 5 slices per pizza by 4 pizza's you would be able to feed 20 students. Since her goal is to make sure EACH student gets 1/5 of a pizza she would need to order another one. So she needs to purchase 5 pizzas and would have 4 slices remaining.
(She could always eat those by herself or give them to me lol)
Hope that helps and have a great day!
Answer:
Mrs. Johnson need to order 5 pizzas.
Step-by-step explanation:
1. If you do 5, 10, 15, 20 that’s four
2. it’s not fair to leave one kid out so she needs to order 5 pizzas
-6y-3x=-18 for x and y
The answer fam is..... X = 6 - 2y, Y = 3 - x/2
please help me with the domain and range of the graphs.?part 5
Problem 5
Domain = [tex]-4 \le x \le 3[/tex]
This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.
The domain in interval notation is [-4, 3]. The square brackets include the endpoint.
--------------
Range = [tex]-4 \le y \le 5[/tex]
We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.
The range in interval notation is [-4, 5]
=============================================================
Problem 6
Domain = [tex]-2 \le x < 2[/tex]
Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.
The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.
-------------
Range = [tex]-4 \le y < 4[/tex]
The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.
The range in interval notation is [-4, 4)
=============================================================
Problem 7
Domain = [tex]-4 < x \le 2[/tex]
Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.
The domain in interval notation is (-4, 2]
-------------
Range: [tex]-4 < y < 4[/tex]
Both endpoints are open holes, so we exclude both endpoints.
The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.
=============================================================
Problem 8
Domain = [tex]-5 < x < 3[/tex]
Domain in interval notation = (-5, 3)
The graph is too blurry to be able to determine the range.
plz help me
When solving equations containing rational expressions, which of the following is a true statement?
A. The multiplication property of equality only applies to equations where the rational expressions are identical.
B. The solution to an equation with rational expressions must be a rational expression.
C. There is no need to check the solution to an equation with rational expressions since it is guaranteed to be right.
D.The addition property of equality applies to equations with rational expressions.
Answer:
D.The addition property of equality applies to equations with rational expressions.
Step-by-step explanation:
Any help is appreciated.
Step-by-step explanation:
Hey there!
Now, let's look into figure.
angle ACB = 65° { Base angle of triangle ABC}
angle ACB + angle BAC + angle ABC = 180°
65° + 65° + angle ABC = 180°
angle ABC = 180°-130°
Therefore, angle 50°
angle EBD = 50° ( Vertically opposite angle)
Now;
angle EBD= angle DEB = 50° ( Base angle of triangle BDE )
angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)
angle BDE = 180° -100°
Therefore, angle BDE = 80°.
Now, 80° + 14x + 2 = 180° { being linear pair}
14x = 180°-82°
14x = 98°
[tex]x = \frac{98}{14} [/tex]
X = 7°
Hope it helps......
3x + x- 2x + 8 = 3x + x
Answer:
x=4
Step-by-step explanation:
3x+x - 2x + 8= 3x + x
4x- 2x +8 = 4x
2x + 8= 4x
8= 2x
x=4
use matrices to determine the coordinates of the vertices of the translated figure. Triangle DEF with vertex matrix [7 -9 -1 -7 -3 -7] translated 1 unites left and 4 units down.
Answer:
(6, -11), (-10, -7) and (-2, -11)
Step-by-step explanation:
Coordinates of a triangle are represented in the form of a matrix as,
[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}[/tex]
If the given triangle is shifted by 1 unit left and 4 units down,
Translation of vertices in the matrix form will be,
[tex]\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]
For a triangle having vertices (7, -7), (-9, -3) and (-1, -7) when shifted 1 units left and 4 units down will be,
[tex]\begin{bmatrix}7 & -9 & -1\\ -7 & -3 & -7\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}7-1 & -9-1 & -1-1\\ -7-4 & -3-4 & -7-4\end{bmatrix}[/tex]
= [tex]\begin{bmatrix}6 & -10 & -2\\ -11 & -7 & -11\end{bmatrix}[/tex]
Coordinates of the triangle after the translation will be,
(6, -11), (-10, -7) and (-2, -11)
If you score higher than 90% on the test, you'll get an A. If you get an A, you can celebrate.
You scored a 92% on the test. What can you conclude using the Law of Syllogism?
Answer:
You'll get an A and you can celebrate.
Step-by-step explanation:
The hypothesis for the first conditional is met, so we can assume the conclusion is true: you'll get an A.
That conclusion satisfies the hypothesis of the second conditional, so we can assume its conclusion is true: you can celebrate.
Taken together, we can assume ...
You'll get an A and you can celebrate.
What is the distance between -40 and 185
Answer:
225
Step-by-step explanation:
185-(-40)=
185+40=
225
Answer: 145
Step-by-step explanation: -40+185=145 Your welcome :)
The management of Hartman Rent-A-Car has allocated $2.52 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)
Answer:
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
Step-by-step explanation:
Let us denote:
the number of compact car = x
the number of intermediate-sized car = y
the number of full-size cars purchased = z
The total number of cars to be purchased is 100.
Hence:
x + y + z = 100...........Equation 1
If Hartman purchases twice as many compacts as intermediate-size cars
y = 2x
So: x + 2x + z = 100..........Equation 2
= 3x + z = 100
z = 100 - 3x
Compacts cost $18,000 each, Intermediate-size cars cost $27,000
Full-size cars cost $36,000 each.
Assume that the entire budget will be used.
Hence,
x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.
18000x + 27000y + 36,000z = $2,520,000.....Equation 4
Substitute 100 - 3x for z and y = 2x in Equation 4
18000x + 27000(2x) + 36,000(100 - 3x) = $2520000
18000x + 54000x + 3,600,000 -108000x = $2520000
72000x -108000x + 3,600,000 = $2,520,000
= $3,600,000 - $2,520,000 = 108000x - 72,000x
$1,080,000 = 36,000x
Divide both sides by $36,000
x = $1080000/36000
x = 30
From the above:
y = 2x
y = 2 × 30
= 60
z = 100 - 3x
= 100 - 3 × 30
= 100 - 90
= 10
Therefore,
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
use the functions to find x
Answer:
x = 14
Step-by-step explanation:
[tex]f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14[/tex]
What is the quotient? (6x10) divided (1.5 x 10-4)
Answer:
5.4 hope this help
A large container holds 8 gallons of water. It begins leaking at a constant rate. After 16 minutes, the container has 7 gallons of water left. How many minutes will it take for the container to go from full to empty
Answer:
128 minuter, or 2 hours 8 minutes.
Step-by-step explanation:
So, every 16 minutes, 1 gallon leaks. that mean that we use 8x16, which is 128. now, we make them into hours, which is 2 hours, 8 minutes.
Help me with this question please
you have a blender mixed with raspberries,blueberries,ice, and water.Which of the following will NOT change when mixed together?
a. magnetism
b. melting point
c. mass
d. color
Answer:
Magnetism
Step-by-step explanation:
The melting point will actually get colder with the added ice
the mass will get more dense
the color will be a purpleish soothing color
Do i have to write something for E or do I leave it blank
Answer:
blank
Step-by-step explanation:
Answer:
Blank
Step-by-step explanation:
Help me pls!!!ASAP I don’t get it
527 x 36
What will this equal
Answer:
18972 I use an calculator
The solution of number 527 × 36 after multiplying is,
⇒ 527 × 36 = 18,972
We have to give that,
To solve the expression,
⇒ 527 × 36
Now, simplify the numbers as,
⇒ 527 × 36
After multiply,
⇒ 18,972
So, the solution is,
⇒ 18,972
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16 cm
12 cm
radius of cylinder = 5 cm
radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of pl'.)
Felipe mixes 8 oz a raven 8 oz of sunflower seeds 12 oz of almonds and 12 oz of dried fruit for a recipe how many pounds of mix does Felipe make with his recipe
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
3,0
0, -10
Step-by-step explanation:
Question in the picture
Answer:
Average rate of change =250
Step-by-step explanation:
Formula to determine average rate of change of the function,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.
Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],
[tex]f(x_2)=650[/tex]
And [tex]f(x_1)=300[/tex]
Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]
= [tex]\frac{350}{14}[/tex]
= 250
Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.
Use the formula for the area of a rectangle A=LW to answer the question. A rectangle has a length of n units. Its width is 8 units more than its length. What is the area of the rectangle?
A. 2n +8
B. N(n+8)
C. N(n-8)
D. 2+8n
Please help and explain I dont get it
Answer:
d is ur answer maybe ok ok ok
Answer:
B. N(n+8)
Step-by-step explanation:
A rectangle's area is Length x Width
The rectange's length is not known to us. N is it's variable
It says the width is 8 units mor then the length and ask for the are of the rectangle.
Now since rectangle's area is length times width we multiply n (the length) with the width (8+n).
This would be N(n+8)
What is 50000000000 + 500000000000
Answer:
1,000.000,000,000
Step-by-step explanation:
Answer:
free
Step-by-step explanation:
The diameter of circle is 4cm. Determine the are of the circle.
Answer: Area of circle = 12.57cm² (I am assuming you mean area here)
Step-by-step explanation:
Area = πr²
radius = diameter ÷ 2
r = 4 ÷ 2
r = 2
π = 3.14159265359
shorten π to 3.14 for future reference. I just used the π button a a calculator for this answer though.
A = π × 2
A = 12.57