Answer:
12.75
Step-by-step explanation:
Given the equations
x - y = 3.5 → (1)
[tex]\frac{x+y}{2}[/tex] = 11 ( multiply both sides by 2 to clear the fraction )
x + y = 22 → (2)
Add (1) and (2) term by term to eliminate y
2x + 0 = 25.5
2x = 25.5 ( divide both sides by 2 )
x = 12.75
Substitute x = 12.75 into (2)
12.75 + y = 22 ( subtract 12.75 from both sides )
y = 9.25
The 2 numbers are 12.75 and 9,25
With the larger number being 12.75
combine like terms and simplify. 7(3y-5)-2(10+4y)
Answer: 13y - 55
Step-by-step explanation:
Given
7 (3y - 5) - 2 (10 + 4y)
Expand parentheses and apply the distributive property
=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y
=21 y - 35 - 20 - 8y
Move like terms together
=21y - 8y - 35 - 20
Combine like terms
=13y - 55
Hope this helps!! :)
Please let me know if you have any questions
calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum
the sum of two numbers is 17 and their differance is 3
Answer:
10 and 7 are the numbers
Step-by-step explanation:
Let the number be x and y, ATQ, x+y=17 and x-y=3, solving it we will get x=10 and y=7
The sum of two numbers is 17 and their difference is 3.
Let's define the two numbers as x and y.
Sum of two numbers is 17
x + y = 17
Their difference is 3
x - y = 3
-----------------------------------------
Solve for x
x + y = 17
x = 17 - y
now that we have x, substitued x into x - y = 3
x - y = 3
17 - y - y = 3
17 - 2y = 3
-2y = -14
y = 7
we have y, 7, now let's substitue that into one of the equations to find x
x - y = 3
x - 7 = 3
x -7 + 7 = 3 +7
x = 10
the numbers are 10 and 7
The perimeter of a triangle is 16x−6. If two sides measure 3x+2 and 4x−9, then how long is the third side?
Perimeter of a triangle is the sum of measures of its all three sides, let the other be y,
we know,
[tex] \hookrightarrow \: y + 3x + 2 + 4x - 9 = 16x - 6[/tex]
[tex] \hookrightarrow \: y + 7x - 7 = 16x - 6[/tex]
[tex] \hookrightarrow \: y = 16x - 6 - 7x + 7[/tex]
[tex] \hookrightarrow \: y = 6x + 1[/tex]
hence, measure of the third side is 6x + 1
Your college professor tells you he will give a 30%-30%-40% split on grades between homework, quizzes, and test. However whichever category you have the highest average in will be the 40% category.
What will your final grade be if your homework average is 60, you quiz average is 70, and your test average is 95?
Answer:
Your final grade will be 77%
Step-by-step explanation:
40% will be from your test average which is 95
30% will be from your homework average which is 60
30% will be from your quiz average which is 70
Calculating based on these weights:
(40×95+30×60+30×70) / (40+30+30) = 7700 / 100 = 77.00%
midpoint (10,5), endpoint (4, - 1)
Answer:
M=(7,2)
Step-by-step explanation:
M=(10+4/2,5+-1/2)
M=(7,2)
Plz HELPPPPPPP!!!!!!!!!!
Do you what explanation?
The sum of elght and a number is one hundred. What is the number?
Answer:
92
Step-by-step explanation:
[tex]8+x=100\\\\x=92[/tex]
Answer: B. 92
Step-by-step explanation: The sum of eight and a number is one hundred. The number is: 92 8 + N = 100 N = 100 - 8 N = 92
For what value of w is 4w = 2w - 8 ?
Answer:
w= -4
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
w is -4
Step-by-step explanation:
[tex]4w = 2w - 8[/tex]
make w the subject:
[tex]4w - 2w = - 8 \\ 2w = - 8[/tex]
divide all sides by 2:
[tex] \frac{2w}{2} = \frac{ - 8}{2} \\ \\ w = - 4[/tex]
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
- (5/22)
Step-by-step explanation:
(12-2x+8)/3 = (6x + 15)/2
(20 - 2x)/3 = ( 6x + 15)/2
Now cross multiplication
40 - 4x = 18x + 45
-18x - 4x = 45- 40
- 22x = 5
x = - ( 5/22)
(
Solve this equation for p:
P+1 / 2 = 3p+7/5
Answer:
p = -10
Step-by-step explanation:
[tex]\frac{p+1}{2} = \frac{3p+7}{5}[/tex] cross multiply fractions
6p + 14 = 5p + 5
6p - 5p = 5 - 15 subtract like terms
p = - 10
What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?
Answer:
p(x,y)= (2,3)
Step-by-step explanation:
i have used partition formula in the pic below. If there is any question you can ask me in comment.
Evaluate the expression
Answer:
361
Step-by-step explanation:
[tex]3 \times {11}^{2} - 2 = 361[/tex]
Answer:
361
Step-by-step explanation:
3(7+4)^2-14÷7
PEMDAS says parentheses first
3(11)^2-14÷7
Then exponents
3(121)-14÷7
Then multiply from left to right
363 -14÷7
363 -2
Subtract
361
Plz answer this is important
Answer:
6
Step-by-step explanation:
It's just an educated guess but going from point A to point B there's six parts that the graph is separated by. (the lines.)
HELP ME PLS
Write the ratio
3/8 with a numerator of 9.
Answer:
24
Step-by-step explanation:
3 9
8
9 times 8
divided by 3 = denominator
9x8÷3=24
Answer:
[tex]\frac{9}{24}[/tex]
Step-by-step explanation:
Skills needed: Identify numerator, Multiplying to change fraction
1) First, we need to know what the numerator is. The numerator is the upper number of the fraction, which is separated by the fraction bar FROM the denominator (the bottom part of the fraction).
In this fraction, 3 would be the numerator as it is the top number.2) What we need to do here is rewrite the fraction [tex]\frac{3}{8}[/tex] so that the numerator is 9. Let's look at it in another way:
[tex]\frac{3}{8} * \frac{x}{x} = \frac{9}{z}[/tex] (The reason it is [tex]\frac{x}{x}[/tex] is because we want to multiply the original fraction/ratio by 1 so that we do not change it).
3) Now we know that [tex]3 * x=9[/tex], and if we divide both sides by 3, we get:
[tex]x=3[/tex].
This means it would be:
[tex]\frac{3}{8} * \frac{3}{3} = \frac{9}{z}[/tex]
Now we need to find [tex]z[/tex]. [tex]z=8*3 = 24[/tex]. [tex]z=24[/tex].
The numerator of our fraction would be 9, and the denominator is 24, making our answer: [tex]\frac{9}{24}[/tex].
Hope you understood and have a nice day!! :D (If you have any questions, please comment, and I can try to help!)
PLEASE HELP ASAP -- WITH THE WORKK
50 points
Part-A:-
(f×g)=[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]
[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]
[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]
Now
[tex]\\ \sf\longmapsto (f.g)(3)[/tex]
[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]
[tex]\\ \sf\longmapsto -72+144+560[/tex]
[tex]\\ \sf\longmapsto 72+560[/tex]
[tex]\\ \sf\longmapsto 632[/tex]
Part-B:-
[tex]\\ \sf\longmapsto f(3)[/tex]
[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]
[tex]\\ \sf\longmapsto 9+9-70[/tex]
[tex]\\ \sf\longmapsto 18-70[/tex]
[tex]\\ \sf\longmapsto -52[/tex]
Now
[tex]\\ \sf\longmapsto g(f(3))[/tex]
[tex]\\ \sf\longmapsto g(-52)[/tex]
[tex]\\ \sf\longmapsto 4(-52-3)[/tex]
[tex]\\ \sf\longmapsto 4(-55)[/tex]
[tex]\\ \sf\longmapsto -220[/tex]
Part:-C
[tex]\\ \sf\longmapsto g(-2)[/tex]
[tex]\\ \sf\longmapsto 4(-2-3)[/tex]
[tex]\\ \sf\longmapsto 4(-5)[/tex]
[tex]\\ \sf\longmapsto -20[/tex]
Now
[tex]\\ \sf\longmapsto f(g(-2))[/tex]
[tex]\\ \sf\longmapsto f(-20)[/tex]
[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]
[tex]\\ \sf\longmapsto 400-60-70[/tex]
[tex]\\ \sf\longmapsto 400-130[/tex]
[tex]\\ \sf\longmapsto 270[/tex]
Part-D:-
g×f=f×g[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]
[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]
[tex]\\ \sf\longmapsto 32-96+560[/tex]
[tex]\\ \sf\longmapsto -64+560[/tex]
[tex]\\ \sf\longmapsto 496[/tex]
please answer this question for me. please help.
Solve 3x+4/2-6x = -2/5
Answer:
Exact form:
x = 4/5
Decimal Form:
x = 0.8
Step-by-step explanation:
Mike weights 200 pounds and plans to lose 1.5 pounds a week. Jeff weights 180 pounds and plans to lose 0.5 pounds a week. When mike and Jeff weigh the same?
Answer:
20 weeks
Step-by-step explanation:
200-1.5w=180-0.5w
You can double-check by substituting 20 for w (weeks), if it is equal, then the equation is correct.
A shirt and pants have a combined cost of 78 dollars. The shirt costs 15 dollars less then the pants. How much does each item cost
Answer:
The shirt is $31.50 and the pants are $46.50
Step-by-step explanation:
Let x represent the cost of the pants.
If the shirt is 15 dollars less than the pants, its cost can be represented by x - 15.
Create an equation, and solve for x:
(x) + (x - 15) = 78
2x - 15 = 78
2x = 93
x = 46.5
So, the pants are $46.50.
Subtract 15 from this to find the cost of the shirt:
46.50 - 15
= 31.50
The shirt is $31.50 and the pants are $46.50
PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!
Answer:
im pretty sure your answer is correct :)
Step-by-step explanation:
Answer:
line [tex]l[/tex]
The length of JM is 9.
Step-by-step explanation:
Since JM ≅ MK then we can form the following:
[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]
Cady found that she uses 1/6 of a roll of paper towels each week. How many rolls of paper towels will she use in 8 weeks?
Answer:
[tex]1 \frac{2}{6} [/tex]
Step-by-step explanation:
[tex]8 \times \frac{1}{6 } = \frac{8}{6} = 1 \frac{2}{6} [/tex]
by selling a cycle for rs 2250 ,the man loses rs 50 ,at what prize he sell to make a profit of rs 80?
Answer:
SELLING PRICE OF CYCLE = 2250RS
LOSS MAN SUFFERED = 50RS
Step-by-step explanation:
COST PRICE = SP + LOSS
CP = 2250 + 50
CP = 2300 RS
FORMULA OF PROFIT = SP - CP
TO MAKE PROFIT OF 80 RS
80 = SP - 2300
SP = 2380 RS
HE SHOULD SELL THE CYCLE AT 2380 TO MAKE PROFIT OF 80 Rs
Thank you
PLEASE MARK AS BRAINLIEST
Answer:
rs 2380
Step-by-step explanation:
→ Add rs 50 to the selling price to not make a profit or loss
2250 + 50 = 2300
→ Add rs 80 to the answer above
80 + 2300 = 2380
help me pleaseeeeeee
Which set of numbers are imaginary numbers?
Answer:
Step-by-step explanation:
Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.
The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
To determine from the options the set of imaginary numbers.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.
Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
Learn more about the number system here:
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6 + 4w = 2w − 6
Solve for W
Answer:
W=-6
Step-by-step explanation:
6+4w=2w-6
Collect Terms
4w-2w=-6-6
2w=-12
now divide both sides by 2
2w/2=-12/2
w=-6
find the coordinates of the points of intersection of the line 2x+3y+2=0 with the curve 2xy=-1
no spam plz fast
The point of intersection of the line 2x+3y+2=0 with the curve 2xy = -1 will be (1/2, - 1) and (1/6, 1/3).
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The equation of lines are,
⇒ 2x + 3y + 2 = 0
⇒ 2xy = - 1
Now,
Since, The equation of lines are,
⇒ 2x + 3y + 2 = 0 ..(i)
⇒ 2xy = - 1 ..(ii)
From (ii);
⇒ 2xy = - 1
⇒ x = - 1/2y
Put above value in (i), we get;
⇒ 2 × - 1/2y + 3y + 2 = 0
⇒ - 1/y + 3y + 2 = 0
⇒ - 1 + 3y² + 2y = 0
⇒ 3y² + 2y - 1 = 0
⇒ 3y² + 3y - y - 1 = 0
⇒ 3y (y + 1) - 1 (y + 1) = 0
⇒ (3y - 1) (y + 1) = 0
⇒ y = 1/3
And, y = - 1
So, The value of x is,
⇒ x = - 1/2y
⇒ x = - 1/2 × - 1
⇒ x = 1/2
And, x = - 1/2 × 1/3
⇒ x = 1/6
Thus, The intersection point on the lines = (1/2, - 1) and (1/6, 1/3)
Learn more about the substitute method visit:
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Suppose y varies inversely with x, and y = -1 when x = 6. What inverse variation equation relates x and y?
Answer:
y = -6/xStep-by-step explanation:
Inverse variation equation:
y = k/x, where k - coefficientWe have:
x = 6, y = -1Work out the value of k by substituting the values of x and y:
-1 = k / 6k = -1*6k = -6The equation is:
y = -6/xAnswer:
y = -6/x
Step-by-step explanation:
y varies inversely as x
So, y = k/x, where k is the constant of proportionality.
If y = -1 when x = 6,
Then, -1 = k/6 ===> k = -6
Therefore, y = -6/x
what is 3/4 x 3 + 2/4 + 1 = ????
as a whole number
Answer:
3/4×3 = 2.25
2/4×1= 0.5
Step-by-step explanation:
how it helps u
HELP!! WILL MARK AS BRAINLIEST!!!
On an airplane, the passengers may have chicken, vegetable or tomato soup
Half of the passengers choose chicken soup
A third of the passengers choose tomato soup.
(a) What fraction of the passengers choose vegetable soup?
There are 240 passengers on the airplane.
(b) How many passengers choose vegetable soup?
Answer:
1/6 and 40
Step-by-step explanation:
for 1/6 you can get the answer by getting 1/2 chicken = 3/6 then 1/3 tomato soup = 2/6 and you have 1/6 left which will be the answer.
For the number of people, 1/6 is equal to 40 because 240 divided by 6 equals 40
