Answer:
x = 9, y = 29 or (8,29)
Step-by-step explanation:
Set the equations equal to each other because they both equal y:
4x - 3 = 2x + 13
Combine like terms:
2x = 16
Divide by 2:
x = 8
Plug 8 into the x for both equations and see if the y is the same:
y = 4(8) - 3 = 32 - 3 = 29
y = 2(8) + 13 = 16 + 13 = 29
Change the following mixed expressions to fractions and then simplify the complex fractions.
y-(4x^(5))/(x^(2)-xy)
Answer:
see below
Step-by-step explanation:
[tex]y-\frac{4x^5}{x^{2}-xy }[/tex] find common denominator and rewrite 1st part as a fraction
[tex]\frac{y(x^{2}-xy) }{x^{2}-xy }[/tex] [tex]-\frac{4x^5}{x^{2} -xy}[/tex]
[tex]\frac{x^{2}y - xy^2 -4x^5 }{x^{2} -xy}[/tex]
[tex]\frac{x(xy-y^2-4x^4}{x(x-y)}[/tex]
[tex]\frac{xy-y^{2}-4x^4 }{x-y}[/tex]
The expression [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]or [tex]y -\frac{4x^4}{x - y}[/tex].
What is Fraction?Fractions are numbers which has two parts, numerator and the denominator and is of the form p/q. Here, the number on the top p is called the numerator and the one on the bottom q is called the denominator.
Fractions can also be expressed and decimals and the reverse can also be applied.
Given expression is a mixed expression. We have to first change it into fractions and then have to simplify the complex fractions.
Given expression is [tex]y -\frac{4x^5}{x^2 - xy}[/tex].
First do the cross multiplication.
[tex]y -\frac{4x^5}{x^2 - xy}[/tex] = [tex]\frac{[y(x^2 - xy)]-4x^5}{x^2-xy}[/tex]
= [tex]\frac{(yx^2 - xy^2)-4x^5}{x^2-xy}[/tex]
= [tex]\frac{x(yx - y^2-4x^4)}{x(x-y)}[/tex]
= [tex]\frac{yx - y^2-4x^4}{x-y}[/tex]
= [tex]\frac{y(x - y)-4x^4}{x-y}[/tex]
= [tex]y -\frac{4x^4}{x - y}[/tex]
Hence the mixed expression given as [tex]y -\frac{4x^5}{x^2 - xy}[/tex] can be simplified as [tex]\frac{yx - y^2-4x^4}{x-y}[/tex] or [tex]y -\frac{4x^4}{x - y}[/tex].
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find the mean and median and made of the following data 30,31,35,29,32,30,31,35,36,35
Answer:
Mean: 35
Median: 31
Mode: 36.9 (If you round up), 36.8 (If you don't round up)
Step-by-step explanation:
Order the Data: 29, 30, 30, 31, 31, 35, 35, 35, 36
Mean: Average , sum all of your data and divided by how many scores are in your data. (From Math Notes I have)
332/9 = 36.9 (If you round up)
Median: Middle Score (From Math Notes I have)
In this case the Median is 31.
Mode: The score that up most (From Math Notes I have)
In this case the Mode is 35.
Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60 in the second hour, then another $72 in the third hour. If this pattern continues, what is the total amount of money he will raise if he stays for the entire competition?
Answer:
$786
Step-by-step explanation:
50, 60, 72
find the difference between the first and second hour earnings to get 10.
get the difference of the second and third to get 12.
we realize that they are in increasing with even numbers from 10 going further, ie, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc
to get the total earnings for the 24 hrs, you have to keep on adding the next even number till you reach the 24th hour
you will get $786.
Help me with this please
Answer:
I believe its 990
Step-by-step explanation:
you would multiply 9 times 10 times 11 and it equals 990
Answer:
Step-by-step explanation:
This is a parallelogram
base = 11 in
Height = 9 in
Area of parallelogram = base * height
= 11 * 9
= 99 square inches
The sum of the numbers j,k, and m is 115. The ratio of j to k is 2:7 and the ratio of k to m is 14:5. What is the value of k?
E. 61
F. 70
G. 78
H. 83
Answer:
f. 70
Step-by-step explanation:
I did it the easy way, so k has to be able to divide by 14 and 7. So i just divided all the answers by 7 first. Then 14. Only 70 is able to divide by 7 and 14. Lastly I just check to see if it works. 2:7 = 20=70. 14:5 = 70:25. 20+70+25=115.
y + 3 = –y + 9
y=1
y=3
y=6
y=9
Answer:
y = 3
Step-by-step explanation:
3+3 = -3+9
6=6
Answer:
y+y = 9-3
2y= 6
y=6/2 =3
y=3
Step-by-step explanation:
PLEASEEE HELP!!!!!!!!
Answer:
Number 2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
Answer:
#2
Step-by-step explanation:
So you first gotta open the parentheses: When you multiply them you add the exponents
You get x^5/6 + 2x^7/3
What is the measure of angle WZY in the given figure?
Which of the following are valid probability distributions for a discrete random variable ?
Answer:
A,B,D
Step-by-step explanation:
I just took the quiz
2) Choose the letter of the equation that best represents the problem. *
A meteorologist measured the average rainfall received in Cities A and B. Both cities received
11inches of rainfall in total. While City A received x inches of rain, City B experienced three times
the amount of rainfall than City A.
Answer: x + 3x = 11
Step-by-step explanation:
Two cities A and B
Both cities receive 11 inches of rainfall in total
Amount of Rainfall in inches received by city A = x
Amount of Rainfall in inches received by city B = 3x
Therefore given the details above, total rainfall is best expressed using the equation ;
Rainfall in city A + Rainfall in city B = 11 inches
x + 3x = 11
How many solutions does this equation have? -8x= -8x .
Answer:
Infinite
Step-by-step explanation:
No matter what number you plug into x, since it is multiplied by the same coefficient on both sides, the two sides will still be equal. Therefore, there are infinite solutions. Hope this helps!
Answer:
This equation has infinite solutions.
Step-by-step explanation:
The equation parts are literally the same.
-8x=-8x
If x=2
-16=-16
If x=1,000
-8,000=-8,000
and so on...
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is an odd number
Event B = the second digit is an odd number
If a combination is picked at random with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 3/8
B. 3/7
C. 1/2
D. 4/7
Answer:
3/7 (b)
Step-by-step explanation:
If a combination is picked at random with each possible locker combination being equally likely, the conditional probability P(B|A) is 3/7.
What is conditional probability?Conditional probability is defined as the likelihood of an event or outcome occurring, based on the occurrence of a previous event or outcome.
Probability of event A = P(the first digit is an odd number) = 4/8
Given that event A has already occurred, we need to calculate the probability of the occurrence of probability B.
The total possible outcomes are 7 (out of 8 one is used up in event A).
Favorable outcomes are 3 (out of 4 one is used up in event A).
P(B|A) = 3/7
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James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home another 7{,}400\text { g}7,400 g7, comma, 400, start a text, space, g, end text of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now? \text{kg}kg
Question:
James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?
Answer:
The quantity of sandbox James has is 21.9kg
Step-by-step explanation:
Given
Initial quantity of sandbox = 14,500 g
Additional quantity = 7,400 g
Required
Total quantity of sandbox in kg
Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;
This is represented mathematically as follows;
Total = Initial Quantity + Additional Quantity
Total = 14,500 g + 7,400 g
Total = 21,900 g
But the question says the answer should be in kg
1000 g is equivalent to 1 kg
21,900 g will be equivalent to [tex]\frac{21,900}{1,000} kg[/tex]
[tex]21,900g = \frac{21,900}{1,000} kg[/tex]
[tex]21,900g = 21.9 kg[/tex]
Hence, the quantity of sandbox James has is 21.9kg
Can you please help me with this question please is so hard and i will give you a Brainiest
Answer:
I don't know about you, but I would say the dog because it is the only relative object about the size and volume of the dog.
You can really do these yourself; there's no math here, just common sense. A bicycle weights a lot more than a tomato, a pineapple or a pencil, so we go with the dog and answer
Answer: about 10 kilograms
1 1/4 +1 1/2 pls answer
Answer:
the answer is 33/4
Step-by-step explanation:
11/2->22/4
11/4+22/4=33/4
Look at the attached picture
Hope it will help you
Can you please help me with this question and i will give you a Brainiest
Answer:
infinite soulutions
Step-by-step explanation:
m+7=3+m+4
m+7=m+3+4 (Combine Like Terms)
m+7=m+7
Step 2: Subtract m from both sides
m+7−m=m+7−m
7=7
Answer: 0 (thus, infinite solutions is the correct option)
Step-by-step explanation:
m+7= m+3+4
m-m= 3+4-7 (transposing m and 7)
0=0
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(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
Tell me what the slope and y intercept means to you
PLEASE HELP: I need to know how to do the steps
Answer: i will help you, but the picture isnt clear for me
Step-by-step explanation:
A student is saving at least $5,000 for college. She begins with a savings account set up by her parents containing $2,000. Each month she deposits an additional $50 into the account. Fill in the first blank with the correct expressions that make the statement true.
(Attached is the statement and the choices)
This is the first box only!! Pls help!!! Giving 15-20 points!!!
Answer:
5000 ≥ 2000 + 50a
Step-by-step explanation:
She wants to save at least $5000 for college. The saving account set up by her parents already contains $2000 . This means she has more $3000 to save to meet her minimum target. Each month she saves $50 into the account.
Let
number of month = a
The information can be expressed as follows
5000 ≥ 2000 + 50a
The savings will continue increasing every months because she always deposit $50 every month.
Using the expression
5000 ≥ 2000 + 50a
minus 2000 from both sides
3000 ≥ 50a
divide both sides by 50
3000/50 ≥ a
60 ≥ a
This means she needs at least 60 months to meet her savings/target.
Insert commas as needed, and then write the number in words 984200
Answer:
International - 984,200
Step-by-step explanation:
Nine hundred eighty four thousand and two hundred
Answer:
984,200
nine hundred eighty-four thousand two hundred
Step-by-step explanation:
remember that in numbers, you insert commas every three places(Place values)
Find the value of p if (3, 2) is a solution of px – 5y + p2 = 0.
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Substitute the x and y values in:
p^2 + 3p - 5(2) = 0
p^2 + 3p - 10 = 0
Factorise this:
(p - 2)(p + 5)
p = 2
p = -5
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find the volume of the cylinder
Answer:
10 ft
Step-by-step explanation:
1x10= 10
volume is found by multiplying length width and height together.
Brainliest is greatly appreciated
Answered by: Skylar
5/21/2020
1:44 PM (Eastern Time)
Answer:
Volume of a cylinder=πr²h
=3.14×(10)²×1
=3.14×100×1
=314×1
=314ft³
how do you solve for 8(s+3)=72
Answer:
s=6
Step-by-step explanation:
first you distribute the 8
8s+24=72
Then subtract 24 from both sides
8s=48
then divide both sides by 8 to get
s=6
what’s the area of the trapezoid
Answer:
1/2(15)(50 + 30)
1/2(15)(80)
1/2(1200)
600m²
Step-by-step explanation:
What is the equation for the line of reflection? X=6 y=6 y=x y=2
Answer:
x=6y
Step-by-step explanation:
I think this is right, sorry if it is not
The lines below are perpendicular. If the slope of the green line is 3/2
what is
the slope of the red line? will give brainliest for correct answer
Roger logs the number of miles he runs each week . The mean number of miles roger ran in October was 30.2
Answer:
what is the question
Step-by-step explanation:
Clare has $5,003 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: Clare earned $6806.53.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
[tex]B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4[/tex]
Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.
Now, use a calculator to raise 1.08 to the fourth degree to get this:
[tex]B = 5003 * 1.360488\\B = 6806.526[/tex]
As such, Clare earned $6806.53 in interest after 4 years.
Najmo made $126 dollars 49 hours of work at the same rate how many hours would She have to work to make $168.
Answer:
126-49
168-
it will take more time so less under
so 168×126=21168
so 21168÷49=432
so 432 hours
1-)a medida do ângulo raso em minutos é:
obs:pra transformar em graus pra minutos deve-se multiplicar por 60
a) 21 400 b) 15 800 c) 10 400 d) 10 800
Answer:
d) 10 800
Step-by-step explanation:
Um ângulo é considerado raso quando sua medida é exatamente 180 graus, visto que cada grau equivale a 60 minutos, para obter a medida de um ângulo raso em minutos basta multiplicar 180 por 60:
[tex]180 *60=10800\ minutos[/tex]
A resposta correta é d) 10 800.