Answer:
FM = 22
Step-by-step explanation:
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore, AM : FM = 2 : 1
Let AM = 2x and FM = x
Since, AM = 44
Therefore, 2x = 44
x = 44/2
x = 22
FM = 22
YM is a median of the triangle below. XM = 2x + 2 and ZM = 4x - 8. What 5 points
is the length of XM?
12
16
-2
10
Answer:
Option A: 12
Step-by-step explanation:
From the image of the triangle given, we can see that:
XM = ZM
We are given that:
XM = 2x + 2 and ZM = 4x - 8
Thus;
2x + 2 = 4x - 8
Rearrange to get;
4x - 2x = 8 + 2
2x = 10
x = 10/2
x = 5
Thus, XM = 2(5) + 2
XM = 12
Chicago has a temperature of -15oF. It is colder in Minneapolis than in Chicago. Select all the values that could represent the temperature in Minneapolis.
A. -22oF
B. 12oF
C. -2oF
D. 2oF
E. -20oF
F. 20oF
Answer:
A and E
Step-by-step explanation:
if its colder it means the negative number must be bigger then -15oF such as -22oF and -20oF
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
-14=6x-8(x+3)
use the distributive property And show the steps that you did
Answer:
x=-5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
what is x:
3 + 12x = 63
Answer:
X=5
Step-by-step explanation:
3+12x=63
Subtract 3 from both sides
12x=60
Divide both sides by 12
X=5
Answer:
Ummm... Ok... Answer: X = 187 / 39 OR X = 4.794872
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
/3 + 1 2 = 63
3(x/3 + 12x) = 3.63
Simplify
Distribute Cancel multiplied terms that are in the denominator Combine like terms Multiply the numbers37x = 189
Divide both sides of the equation by the same term
37x = 189
37x / 37 = 189 / 37
Simplify
Cancel terms that are in both the numerator and denominatorx = 187 / 39
OR
x = 4.794872
Which statement is true?
1
3
(
n
+
3
)
=
1
3
n
+
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3
1
3
(
n
+
3
)
=
1
3
n
+
1
1 third times open paren n plus 3 close paren is equal to 1 third n plus 1
1
3
(
n
+
3
)
=
1
3
n
+
3
1
3
1 third times open paren n plus 3 close paren is equal to 1 third n plus 3 and 1 third
1
3
(
n
+
3
)
=
1
3
n
+
4
3
Answer:
the answer is they are the same
Answer:
yes
Step-by-step explanation:
explanation: yes
me: yes
you: yes
others: yes
john cena: no :)
confusion confusion
confusion confusion
pls solve this question step by step.
Answer:
Daughter is 14 and son is 10==========================
Let the present ages be:
Daughter - d, son - sSet equations8 years ago:
d - 8 = 3(s - 8)At present:
d = s + 4Simplify and substitute d into the first equation:
d - 8 = 3s - 24d = 3s - 16s + 4 = 3s - 163s - s = 4 + 162s = 20s = 10Find d:
d = 10 + 4 = 14could use some help with answering this. :)
Answer: r = 2
Step-by-step explanation: The general equation is:
(x-a)² + (y-b)² = r²
where (a,b) = coordinates of the center, and r = radius
x² + y² = 4 is the same as
(x-0)² + (y-0)² = 2²
So, the center is at (0,0) and the radius is 2.
Solve these 3 questions.
Answer:
1. x = 13
2. x=17
3. y= 34
Step-by-step explanation:
A clothing store has a sale such that every item in the store is 20% off of the original price. What is the marked down price of an
item, in dollars, that was originally $59.99? Hint: round to the nearest cent.
Answer:
11.99
Step-by-step explanation:
59.99 x .20 = 11.99
the base of a rectangular prism is 6 in · 7 in. what is the lateral area of the prism? 134 cm 2 168 cm 2 182 cm 2 266 cm 2
The lateral area of the prism is 182 in².
A three-dimensional structure with two triangle bases and three rectangle sides is called a triangular prism. The two bases are congruent and parallel to one another. It contains 5 faces, 6 vertices, and 9 edges altogether. There are three rectangular sides connecting the vertices and edges of both bases.
The dimensions of the base of a rectangular prism is given as 6 in × 7 in.
A triangular prism's lateral area is equal to the sum of its side faces' areas (which are 3 rectangles). Specifically, it is the total surface area less the surface areas of the two bases. Additionally called the lateral surface area (LSA).
Therefore, the lateral area of the prism is:
LA = 2 ( 6 × 7 ) + 2 ( 7 × 7 )
LA = 2 × 42 + 2 × 49
LA = 84 + 98
LA = 182 in²
Therefore, the lateral area of the prism is 182 in².
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The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
The value of 9 x^2 + 4 x – 11 is ______ when x = 3 . 2 and ______ when x = − 2 .
The value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
What are algebraic expressions?Algebraic expressions are expressions composed of variables, terms, factors, constants and coefficients.
They are also made up of mathematical or arithmetic operations
Given the expression;
9 x^2 + 4 x – 11
Substitute the value of x as 3. 2
9(3.2 )² + 4(3.2) - 11
expand the bracket
9(10. 24) + 12. 8 - 11
104. 96 -11
93. 96
Substitute the value of x as -2
9(-2)² + 4(-2) - 11
9(4) - 8 - 11
17
Thus, the value of 9 x^2 + 4 x – 11 is 93. 96 when x = 3.2 and 17 when x = -2
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An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds, t, by the equation d=0.15t. Do NOT include units with your answer.A. How fast is it flying in miles per second?B. How far will it travel in 30 seconds?C. How long will it take to go 12.75 miles?
Answer:
A. 0.15
B. 0.45
C. 85
Step-by-step explanation:
Given that:
Equation to represent the relation between distance, [tex]d[/tex] in miles and time [tex]t[/tex] in seconds:
[tex]d=0.15t[/tex]
A.
To find: The speed of airplane in miles per second.
Formula for speed is given as:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
Here, we will have to find the value of [tex]\frac{d}{t}[/tex].
Dividing the given equation by [tex]t[/tex], we get:
[tex]\dfrac{d}{t}=0.15[/tex]
[tex]d[/tex] is in miles and [tex]t[/tex] is in seconds.
Therefore, the answer is 0.15.
B.
Distance traveled in 30 seconds.
Given that: [tex]t[/tex] = 30 seconds
To find: [tex]d = ?[/tex] in miles
[tex]d = 0.15\times 3 = 0.45[/tex]
C.
The time taken to travel a distance of 12.75 miles.
Given that : [tex]d =12.75\ miles[/tex]
To find: [tex]t = ?[/tex] seconds
[tex]12.75 = 0.15t\\\Rightarrow t = \dfrac{12.75}{0.15}\\\Rightarrow \bold{t = 85}[/tex]
If the area of your garden is ( d^2 -16 ) and the length is (d+4
Answer:
d^3+4d^2-16d-64
Step-by-step explanation:
d^d+d^2*4+(-16)d+(-16)*4
d^2d+4d^2-16d-16*4
All tubes of watercolor paint at an art supply store have the same price. An artist has a coupon for $0.80 off each tube of paint she buys. She buys 12 tubes of paint and pays a total of $70.20 after the coupon is applied. Write an equation to find r, the regular price of each tube of paint. No need to solve the equation.
Answer:
R=70.20-$0.80(12)
Step-by-step explanation:
Janet and Jack are walking in a two-day event to raise money for charity. Janet asks a friend for a $7.50 donation, plus $0.10 for each mile she walks. Jack asks a friend for a $5.50 donation, plus $0.15 for each mile he walks. At how many miles of walking would Janet and Jack collect the same amount of money?
A. 44
B. 40
C. 28
D. 25
Answer:
B
Step-by-step explanation:
Smart about slopes help pls
Answer:
Step-by-step explanation:
1. undefined
2.undefined
3.undefined
6. undefined
thats all i know
1: 1
2: -1
3: 1/2
4: -3
5: 1/3
6: also 1
7: people might mix up x and y and instead of doing y rise/x rise, they might do x rise/y rise
I can't see 8 9 10 or 11 so I'm going to assume thats it. Hope this helped :)
is your birth order related to your choice of college majors? a statistics professor at a large university polled his students to find out what their majors were
The birth order is related to the choice of major. The statistics professor at the university polled his students in finding out the majors and position based on family birth order.
What is statistics?Statistics, a branch of applied mathematics, is concerned with the collection of, description of, analysis of, and inferences from quantitative data. Major contributions to the mathematical theories underlying statistics come from probability theory, linear algebra, and differential and integral calculus.
Finding valid inferences about big groups and general events from the behavior and other observable characteristics of small samples is a major challenge for statisticians, or persons who study statistics. These small samples are representative of a small subset of a larger group or a small number of isolated occurrences of a widespread phenomena.
Almost all scientific fields, including the physical and social sciences, as well as business, the humanities, government, and manufacturing, use statistics. Fundamentally, statistics is an area of applied mathematics that resulted from the application of calculus and linear algebra, among other mathematical techniques, to probability theory.
(a) answer= (113/223) * 100= 50.6725%
(b) answer = (15/43) * 100 = 34.8837%
(c) answer = (15/113) * 100 = 13.27%
(d) answer = (15/223) * 100 = 6.7264%
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Which set of ordered pairs represents a function ?
{ (-8,-4),(-8,-1),(4,5),(8,7)}
{ (0,-8),(-8,-8),(9,0),(-6,-6) }
{ (8,4),(8,-2),(-7,6),(5,2)}
{ (-1,2),(-5,-3),(-89),(-5,-8)}
Answer:
the first one of them is right
each side of a square family room is 6 meters long. What is the family room's area?
Answer:
36
Step-by-step explanation:
since the formula for a square is length times width, and that is 6 x 6 which is 36
Plz mark as brainliest
Can someone tell me the answer to this 20 points
Answer:
B
Step-by-step explanation:
If the ratio of blueberries to strawberries is 4:1, what is the percentage of strawberries
in the fruit salad?
Answer: Since the total is 5 fruits, 1 is strawberry. So that would be 20 out of a 100. The percentage of strawberry is 20% of all the fruit.
The percentage of strawberries in the fruit salad is 20%.
Given that,
The ratio of blueberries to strawberries is 4:1.
Based on the above information, the calculation is as follows:
[tex]= 1\div (1 + 4)\\\\= 1\div 5[/tex]
= 20%
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PLS HELP, Urgent! When conducting the vertical line test, how many times should the vertical line intersect the graph if the relationship is a function?
HELP ASAP
HELP ASAP
HELP ASAP
Find the values of m and n.
3. The sum of Ben and Jerry's ages are 47. Jerry is 9 years older than Ben How old are Ben
and Jerry?
(HELP ME!!!)
Answer:
Ben has 38 years older and jerry is 9 years old
Rita earns $18.00 per hour. If she gets a 4% raise, what will be her new hourly wage?
Answer:
Step-by-step explanation:
Probably $20 just by estimating
Answer:
Rita's new hourly wage will be $18.72.
Step-by-step explanation:
To solve this problem, we first need to calculate 4% of $18.00 to find the raise.
18 x 0.04 = 0.72
Now, we need to add this to the original hourly wage of $18.
18 + 0.72 = $18.72
Therefore, Rita's new hourly wage will be $18.72.
Hope this helps! :D
Directions: Locate the following Irrational Numbers on a number line.
1. √13
2. √22
3. √47
4. √63
5. √72
The locations of each irrational numbers can be estimated as follows:
The irrational number √13 is close to 4 and greater than it. The irrational number √22 is close to 5 and less than it. The irrational number √47 is close to 7 and less than it. The irrational number √63 is close to 8 and less than it. The irrational number √72 is close to 8 and greater than it.How to locate irrational numbers on a number line
Irrational numbers are real numbers that are not rational, that is, numbers of the form m / n, where m and n are integers and n is different of zero. But it is also known that rational numbers can have an irrational-like presentation not being so (i.e. √4 = 2, √9 = 3). We can estimate the location of each irrational numbers in terms of rational numbers:
The irrational number √13 is between √9 = 3 and √16 = 4, where √13 is closer to 4.The irrational number √22 is between √16 = 4 and √25 = 5, where √22 is closer to 5.The irrational number √47 is between √36 = 6 and √49 = 7, where √47 is closer to 7.The irrational number √63 is between √49 = 7 and √64 = 8, where √63 is closer to 8.The irrational number √72 is between √64 = 8 and √81 = 9, where √72 is closer to 8.To learn more on irrational numbers: https://brainly.com/question/4031928
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what's equivalent to (the picture)
2^96^3
2^63^2
2^43^2
2^123^3
Applying exponent properties, the simplified expression is given by:
[tex]2^{12} \times 3^3[/tex]
What is the simplified expression?The initial expression is given by:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}}[/tex]
First we simplify the roots, hence:
[tex](\sqrt{8^4}\sqrt{6^4})^{\frac{3}{2}} = (8^2 \times 6^2)^{\frac{3}{2}}[/tex]
6 and 8 can be factored as follows:
8 = 2³.6 = 2 x 3.Hence:
8² = 2^6.6² = 2² x 3².Then:
[tex](8^2 \times 6^2)^{\frac{2}{3}} = (2^8 \times 3^2)^{\frac{3}{2}} = \sqrt{2^{24} \times 3^6} = 2^{12} \times 3^3[/tex]
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Curtis plays a trivia game he earns 2 points for each correct answer and loses 0.25 points for each incorrect answer he get 21 correct points answers and 4 incorrect answers. What is his score for the game?
Answer:
41
Step-by-step explanation:
Curtis is playing a trivia game.
Number of points earned for each correct answer = 2
Number of points lost for each correct answer = 0.25
Given that:
Number of correct answers given by Curtis = 21
Number of wrong answers given by Curtis = 4
To find:
Total score of the game by Curtis?
Solution:
First of all, let us find the points earned by correct answers.
Points earned by correct answers = Number of correct answers multiplied by Points earned on one correct answer.
Points earned by correct answers = 21 [tex]\times[/tex] 2 = 42
Now, let us find the points to be lost by wrong answers.
Points lost by wrong answers = Number of wrong answers multiplied by Points lost on one correct answer.
Points lost by wrong answers = 4 [tex]\times[/tex] 0.25 = 1
The score of the game can be calculated by subtracting the points lost from the points earned.
Score = 42 - 1 = 41