Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths
Answers
Answer: The answer is c
Step-by-step explanation:
Related Questions
Help and show work plz
Answers
Answer:
RK: 4 and BC: 6
Step-by-step explanation:
SImilar triangles
find unknown / know sides
Which means (2x+2)/6 = (4x+2)/9
(X+1)/3 = (4x+2)/9
Multiply 9 to both sides
9/3 (x+1) = (4x+2)
3x+3 = 4x+2
1 = x
Answer: RK = 4, BC = 6
Step-by-step explanation:
In a similar triangle, the ratios of corresponding sides are the same. Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3. Thus, you can determine that 2/3(4x+2)=2x+2.
Distribute
8/3x + 4/3 = 2x + 2
Subtract 2x
2/3x + 4/3 = 2
Subtract 4/3
2/3x=2/3
Divide by 2/3
x = 1
Then, simply plug-in 1 for x to get that RK is 4 and BC is 6
Hope it helps <3
Factorize. (i) 2mn +m^2-6n - 3m (ii) 4y^2 -81 (iii) t^2 - 6t+8
Answers
Answer:
(i) (m-3)(2n+m) (ii) (2y+9)(2y-9) (iii) (t-4)(t-2)
Step-by-step explanation:
2mn+m^2-6n-3m
m(2n+m)-3(2n+m)
(m-3)(2n+m)
Answer: (m-3)(2n+m)
------------------------------
4y^2-81
(2y+9)(2y-9)
Answer: (2y+9)(2y-9)
-------------------------------
t^2-6t+8
(t-4)(t-2)
Factors of the given equations are
(i) (2n +m)(m - 3)
(ii) (2y-9)(2y + 9)
(iii) (t -4) (t - 2)
What is factorization?" Factorization is the process of breaking down large number or quantity into a smaller number or quantity."
Formula used
(a² - b²) = (a -b) (a +b)
According to the question,
(i) 2mn + m² -6n -3m
= m (2n +m) - 3 (2n +m)
= (2n + m) (m - 3)
(ii) 4y² - 81
= (2y)² - (9)²
= (2y - 9) (2y + 9)
(iii) t² - 6t +8
= t² - 4t - 2t + 8
= t (t - 4) -2 (t - 4)
= (t -4) (t -2)
Hence, Factors of the given equations are
(i) (2n +m)(m - 3)
(ii) (2y-9)(2y + 9)
(iii) (t -4) (t - 2)
Learn more about factorization here
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Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
Answers
Answer:
The answer is "[tex]x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]"
Step-by-step explanation:
Given value:
[tex]\to \bold{ \sqrt[3]{x^5y} }[/tex]
[tex]\to \sqrt[3]{x^5y} =(x^5y)^{\frac{1}{3}}[/tex]
formula:
[tex]\bold{(a.b)^n=a^nb^n}[/tex]
[tex]\to (x^5y)^{\frac{1}{3}}= x^{\frac{5}{3}}y^{\frac{1}{3}}[/tex]
The final value is: [tex]\boxed{\boxed{ x^{\frac{5}{3}} \cdot y^{\frac{1}{3}}}}[/tex]
Hope this helps .
The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
Answers
Answer:
The circle has radius = 9 units, and its equation is:
[tex]x^2+y^2=81[/tex]
The parabola has equation of the form:
[tex]y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number
Step-by-step explanation:
Given the characteristics of the two figures (circle and parabola) as described,
since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;
[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]
Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:
[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number.
Find the m∠RLU. A. 20 B. 42 C. 84 D. 10
Answers
Answer:
b is the correct answer. p is 10
The value of m∠RLU = 10.
How to estimate the value of m∠RLU?Given: (5p - 8) and (2p + 22)
Simplifying both of the equation, then we get
5p - 8 = 2p + 22
Add 8 to both sides of the equation, then we get
5p - 8 + 8 = 2p + 22 + 8
simplify
5p = 2p + 30
substract 2p from both sides of the equation
5p - 2p = 2p + 30 - 2p
3p = 30
p = 30/3
p = 10.
m∠RLU = 10
Therefore, the correct answer is option D. 10.
To learn more about angles and triangle
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A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8
Answers
Answer:
A = 56.5cm²
Step-by-step explanation:
r = 1.5cm
h = 4.5cm
A=2πrh+2πr2
A = 2πr(h+r)
A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )
A = 56.62cm²
[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]
Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]
Surface area of the cylinder in cm²?[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]
For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)
Where, r = radius of the cylinder and h is the height of the cylinder.
[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]
We are provided with,
h = 4.5 cmd = 1.5 cmThen, Radius = 1.5 cm / 2
By using formula,
⇛ 2πr(r + h)
⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²
⇛ 2 × 3.14 × 3/4( 5.25) cm²
⇛ 24.7275 cm²
❇ Option B
✤ TSA of the cylinder = 24.7275 cm²
━━━━━━━━━━━━━━━━━━━━
Jenny is baking 56 cookie sandwiches for her friend’s birthday party. She plans to transport the cookie sandwiches in the same food storage container but is not sure if all 56 will fit inside of the container. Part A: Calculate the volume of one cookie sandwich to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part B: Calculate the total capacity of the food storage container to the nearest cubic unit. Use 3.14 for[tex]\pi[/tex] . Part C: Given your calculations regarding the volumes in Parts A and B, do you anticipate that Jenny will be able to transport all of the cookie sandwiches in one food storage container? In two or more complete sentences, explain your reasoning.
Answers
Answer:
Part A: 5 inches³.
Part B: 302 inches³.
Part C: Yes. Explanation below.
Step-by-step explanation:
Part A: The cookie sandwiches appear to be flat cylinders. The volume for a cylinder is pi * r^2 * h.
In this case, the h = 1 inch and r = 1.25 inches.
pi * 1.25^2 * 1
= pi * 1.5625
= 3.14 * 1.5625
= 4.90625.
So, the volume of a single cookie sandwich is about 5 inches³.
Part B: As stated before, the volume of a cylinder is pi * r^2 * h.
In this case, the r = 4.5 inches, and the h = 4.75 inches.
pi * 4.5^2 * 4.75
= 3.14 * 20.25 * 4.75
= 63.585 * 4.75
= 302.02875.
So, the volume of the food storage container is about 302 inches³.
Part C: Given the calculations from Parts A and B, Jenny will be able to transport all the cookie sandwiches in the food storage container. This is because there are 56 cookie sandwiches, each with a volume of 5 cubic inches. That means that the cookie sandwiches will take up 5 * 56 = 280 cubic inches of space. There is about 302 cubic inches of space in the container, so there will still be 22 cubic inches of air inside the container after the cookies are inside.
Hope this helps!
Answer:
Part A: 5 inches^3
Part B: 302 inches^3
Part C: Yes, Jenny will be able to transport all the cookie sandwiches in the food container. This is because there are 56 cookie sandwiches and they each have a volume of 5 cubic inches. So, 56 times 5 equals 280 cubic inches of space. There are 302 cubic inches inside the container, so all the cookie sandwiches will fit inside.
(NO TROLLS 3 TIMES THE CHARM) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.
Answers
Answer:
≈ 5.36
Step-by-step explanation:
If we have a triangle in which the angle measure of it being broken down are the same, that means that the legs in which the angle measures are the same will have the same length.
If we already know that DE ≈ 9.28, then we can subtract this from 20 and divide by two to get BD, which is equal to EC.
[tex]20-9.28=10.72\\10.72\div2=5.36[/tex]
However, I'm not 100% sure about this answer.
Hope this helped (and I hope I'm right)
Answer:
5.3589 or 5.36
Step-by-step explanation:
tan (15) = x / 20
x = 40 - 34.64
x = 5.36
Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls. What should she conclude? a. There is no correlation between the number of hits and the number of balls caught. b. There is a correlation between the number of hits and the number of balls caught. There may or may not be causation. Further studies would have to be done to determine this. c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Answers
Answer: c.There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Step-by-step explanation:
Correlation is a term used to define a relationship between two variables.Causation is a term used to define the effect of one variable on other.Given, Kaitlin compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player caught more or fewer balls.
There is a correlation between number of hits and number of balls caught. However, there is no causation as " fewer hits did not imply that a player caught more or fewer balls.".
This is because there is probably a decrease in the number of balls caught with a decrease in the number of hits.
Hence, the correct option is "c".
Use the graph to determine the vertex point of the quadratic function. Is the vertex a
maximum or a minimum?
Vertex (1,3),maximum
Vertex (3,1) minimum
Vertex (1,3),minimum
Vertex (3,1) maximum
Answers
It is a minimum because it is at the bottom, whereas a maximum would be at the top. The coordinates are read off the graph to find the point.
Answer:
Vertex (3,1) minimum
Step-by-step explanation:
Hello, I attached a graph with two examples where you can see the Vertex and when this is a minimum vs maximum.
You can see in your graph that the vertex is the point (3,1) and this is a minimum.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Find the measure of FG. A. 9 B. 10 C. 11 D. 8
Answers
Answer:
x =11
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
( 15+x-2) * (x-2) = (19+x-3) * (x-3)
Combine like terms
(13+x) *(x-2) = (16+x) *(x-3)
Distribute
11x+x^2-26=13x+x^2-48
Subtract x^2 from each side
11x -26 = 13x -48
Subtract 11x from each side
-26 = 2x-48
Add 48 to each side
22 = 2x
Divide by 2
11 =x
plls 20 poinsts will mark brainlest
Answers
Answer:
My answer is in the attached image.
which of these expressions are equivalent to p/3?
A. p-2/3
B. 1/3p
C. p-3
D. 3/p
E. 3p/p
Answers
This is assuming that p is not in the denominator. To make it more clear that p is not in the denominator, I recommend you write (1/3)p.
Taking 1/3 of a number is the same as dividing by 3.
Example:
27/3 = 9
27*(1/3) = 9
This is expressed as equívalent because 1/1 = 1 this 1/3=.33, thus 1/3 is p/3
Math Question (10 Points):
Answers
= 6u - 6u
= 0
Answer:
0
Step-by-step explanation:
Like terms are terms that have the same variable part.
The variable part of all three terms is u, so all terms are like terms.
5u + u - 6u =
= 5u + 1u 6u
= 6u - 6u
= 0
Which of the following statements is true for a function with equation Ax) = 5(3)*?
The graph has y-intercept (0,5) and increases with a constant ratio of 3.
The graph has y-intercept (0, 3) and decreases with a constant ratio of 3.
The graph has y-intercept (0, 3) and increases with a constant ratio of 5.
The graph has y-intercept (0,5) and decreases with a constant ratio of 3.
Answers
Answer:
Hey there!
The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.
Hope this helps :)
NEED ANSWER FAST....FIRST ANSWER WILL BE BRAINLIST!!!!
For which data set would the mean absolute deviation be a good indicator of variation of the data?
Answers
Answer:
Bottom right.
Step-by-step explanation:
The bottom right stem-and-leaf plot is the best data set because the data is unimodal and centered, so the mean absolute deviation will be the smallest. To verify this algebraically, you can find the mean of the data set. Once you have done that, you can find the absolute value of the difference between each data value and the mean: |data value – mean|.
PLS HELP ME WITH THIS QUESTION, ANYTHING REALLY HELPSS!!!!
Answers
Answer:
x = 75
Step-by-step explanation:
FGE is a straight line so it equals 180 degrees
FGA + AGC + CGE = FGE
x + 90 + 15 = 180
Combine like terms
x+ 105 = 180
Subtract 105 from each side
x = 180-105
x = 75
Answer:
x = 75º
Step-by-step explanation:
The Vertical Angle Theorem shows that:
∠CGE ≅ ∠DGF
So:
∠DGF = 15º
∠AGD = 90º
90º - 15º = 75º
x = 75º
please help with this math question
Answers
Answer:
E H
F F
G E
I hope I helped.
Which set below is the domain of
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}?
(AD {-3, 0, 4, 5, -2} (CD, {2,-1,4}
(3) -3,4,5,-2) (D) {2,-1,0,4}
Answers
Answer:
Domain { -1,0,2,4}
Step-by-step explanation:
{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)}
The domain is the input values
Domain { 2,-1,0,-1,4}
We normally write them in order from smallest to largest and no repeating
Domain { -1,0,2,4}
Answer:
[tex]\large \boxed{\sf D. \ \{2,-1,0,4\}}[/tex]
Step-by-step explanation:
The domain are all possible values of x.
[tex]\{(2, -3),(-1,0), (0,4),(-1,5),(4, -2)\}[/tex]
The x values are 2, -1, 0, -1, and 4.
The domain of the set is {2,-1,0,4}.
Some lemon, lime, and cherry lollipops are placed in a bowl. Some have a
chocolate center, and some do not. Suppose one of the lollipops is chosen
randomly from all the lollipops in the bowl. According to the table below, if it
is known to be lemon, what is the probability that it HAS a chocolate center?
Answers
Answer:
45%
Step-by-step explanation:
There are 20 lollilops with lemon in total. 9 of them have a chocolate center. 9/20=0.45. To convert it into percentage you would multiply the number by 100. 0.45*100=45
The answer is 45%
"if it is known to be lemon" means we ignore any other flavor. I recommend covering up the other values, or you could highlight just the lemon column.
We have 9+11 = 20 lemon total. Of this 20 total, only 9 lemons have a chocolate center. So 9/20 = 0.45 = 45% of the lemon candies have a chocolate center.
solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]
Answers
Answer:
n=2
Step-by-step explanation:
Hello, please consider the following.
[tex]{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1 <=> n=2[/tex]
Let me know if you need more details.
Thank you
A reduced scale drawing of a rectangle measures 12 inches by 16 inches. The scale factor is 1/4. What is the size of the original rectangle? A. 3 in. * 4 in. B. 16 in. * 20 in. C. 36 in. * 48 in. D. 48 in. * 64 in. Please show ALL work! <3
Answers
Answer: D) 48 inches by 64 inches
=============================================
Explanation:
The scale factor is 1/4 = 0.25, meaning that the original preimage is larger and it is reduced to get the image. The reduced width is 12, so the original width is 12/0.25 = 48 inches. The reduced length is 16 making the original to be 16/0.25 = 64.
--------
note that
48*0.25 = 12
64*0.25 = 16
showing how a 48 by 64 rectangle is reduced to a 12 by 16 rectangle after applying the scale factor to each dimension
plsss help meeeeeee!!!! Jakes club has 35 members. it's rules require that 60% of them must be present for any vote. at least how many members must be present to have a vote?
Answers
Answer:
21 members
Step-by-step explanation:
Jake's club
Total number of members = 35
percentage of members required to be present for any vote = 60%
= 60/100 × 35
= 0.6 × 35
= 21
Nine and one half less than four and one half times a number is greater than 62,5. Which of the following represents
the solution set of this problem?
O (16,400)
O (-16,400)
o (-0,16)
o (-00,-16)
Answers
Answer: (16,O0) That is 16 to positive infinity
Step-by-step explanation:
4.5x - 9.5 > 62.5
4.5x > 62,5 + 9.5
4.5x > 72
x > 72/ 4.5
x> 16
So all real numbers greater than 16 is the solution set.
(16,O0)
I wish I had the infinity symbol on this keyboard!
(-00-,-16)
The width of a rectangle is 14 feet less than 3 times the length. If the area is 24 fta,
find the width and length.
Width = 4 and Length = 6
Width = 2 and Length = 4
Width = 10 and Length = 12
Width = 6 and Length = 8
Answers
Answer:
Width: 4
Length: 6
Step-by-step explanation:
We can create a systems of equations for this problem, assuming W is width and L is length.
W = 3L-14
WL = 24
We can substitute W into the equation.
(3L-14)L = 24
3L²-14L = 24
3L² - 14L - 24 = 0
(3L+4)(L-6)=0
L = 6
Now we can find W by substituting L into the equation.
[tex]6\cdotw=24\\w = 4[/tex]
Hope this helped!
w=6 i think
Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other? A. 145−−−√ units B. 97−−√ units C. 5 units D. 73−−√ units
Answers
Answer:
B
Step-by-step explanation:
From the graph we can notice that the coordinates of the cities are:
● A(2,3)
● B(6,-6)
There are many methods to figure out the distance between A and B. We will use the distance formula.
Let d be the distance between A and B.
● d = √[(2-6)^2 + (3-(-6))^2]
● d = √[(-4)^2 + (3+6)^2]
● d = √[ 4^2 + 9^2 ]
● d = √(16+81)
● d = √(97)
Answer:
The answer is B) 97 units
Step-by-step explanation:
From the graph we can notice that the coordinates of the cities are:
● A(2,3)
● B(6,-6)
There are many methods to figure out the distance between A and B. We will use the distance formula.
Let d be the distance between A and B.
● d = √[(2-6)^2 + (3-(-6))^2]
● d = √[(-4)^2 + (3+6)^2]
● d = √[ 4^2 + 9^2 ]
● d = √(16+81)
● d = √(97)
Maria’s office is located at (–7,–5) on the coordinate plane. Her home is located at (4,–6) and the supermarket is located at (–2,–6). When returning back from the office, she first goes to the supermarket to buy some groceries, and then goes back home. Find the total distance she traveled from her office to home. A. 146−−−√+6 units B. 26−−√+6 units C. 82−−√+6 units D. 202−−−√+6 units
Answers
Answer:
B. 6 + √26
Step-by-step explanation:
1. Make a right triangle using the line that goes from office to supermarket.
2. Use pythagorean thereom to find the distance of the longest side.
3. FInd the distance of the line segment going from supermarket to Marias House.
4. Add them together to get 6 + √26.
Answer:
B.
Step-by-step explanation:
1. Make a right triangle using the line that goes from office to supermarket.
2. Use Pythagorean theorem to find the distance of the longest side.
3. Find the distance of the line segment going from supermarket to Maria's House.
4. Add them together to get 6 + √26.
G = {(1, 1), (1, 2), (1, 3), (1, 4)} Is G a function and why? Yes, no two ordered pairs in this list has the same second element. Yes, there is more than one ordered pair in this list. No, there is a limited number of ordered pairs in this list. No, each ordered pair in this list has the same first element.
Answers
Answer:
No, each ordered pair in this list has the same first element.
Step-by-step explanation:
An input can only have 1 output, but multiple inputs can have the same output. How you can check this if you have a graph is if you can draw a straight line (top to bottom) anywhere on the graph and it intersects with the line once or not at all.
Answer:
No, each ordered pair in this list has the same first element.
Step-by-step explanation:
A function is a relation in which each possible input value leads to exactly one output value.Given: G = {(1, 1), (1, 2), (1, 3), (1, 4)}
It has same input (x=1) that leads to multiple outputs (y= 1,2,3,4). This relationship is not a function as per definition provided above.Correct answer choice is:
No, each ordered pair in this list has the same first element.What effect will replacing x with (x−3) have on the graph of the equation y=x2 y = x 2 ? A. slides the graph 3 units down B. slides the graph 3 units right C. shrinks the graph by a factor of 3 D. slides the graph 3 units left
Answers
Answer:
B. slides the graph 3 units right
Step-by-step explanation:
Replacing x with x-h moves the graph 'h' units to the right. In this case, the graph is moved 3 units right by replacing x with x-3.
{(-2,8),(4,6),(10,4)} Which point, when added to the set, would form a relation that is not a function?
Answers
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
A point that would make this relation not a function would be one that shares a common x - value with the other points. One common domain values for two range values would, when graphed, not follow the vertical test, hence making the relation not a function.
Let's say that the point is ( -2, 15 ). It has a common x - value with respect to the first point, ( -2, 8 ), and therefore would make this set not a function.
Answer:
Point : ( -2, 15 )
Step-by-step explanation:
