Answer: The cat is 4 years old, and the dog is 6 years old.
Step-by-step explanation:
We know that Buddy is 2 years old than Fluffy.
And 3 years ago, Buddy was 3 times older than Fluffy.
Let's define the variables:
B = age of Buddy
F = age of Fluffy.
The first statement can be written as:
B = F + 2
The second statement can be written as:
B - 3 = 3*(F - 3)
To solve this, we can replace the first equation into the second one, and solve that for F
B - 3 = 3*(F - 3)
(F + 2) - 3 = 3*F - 9
F - 1 = 3*F - 9
-1 + 9 = 3*F - F
8 = 2*F
8/2 = 4 = F
Fluffy is 4 years old, and with the first equation we can find the age of Buddy.
B = F + 2 = 4 + 2 = 6
Buddy is 6 years old
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
Given ,
James's dog buddy is 2 years older than Fluffy,
And the neighbor's cat Three Years ago, Buddy was three times older than fluffy.
Let ,
The age of buddy = B
The age of fluffy is = F
According to the question ,
Buddy, is 2 years older than Fluffy= Age of Buddy = Age of fluffy + 2 years older.
B = F +2
Again According to the question,
Three years ago age of Buddy = B - 3
Three years ago age of Fluffy = F - 3
Three years ago Buddy was three times older than fluffy = Three years ago age of Buddy = 3 × Three years ago Age of fluffy
B - 3 = 3 ( F - 3 )
Solving the equations,
B - 3 = 3 ( F - 3 )
Put the value of B from equation 1
F + 2 - 3 = 3 ( F -3 )
F - 1 = 3F - 9
F - 3F = - 9 +1
-2F = -8
2F = 8
[tex]F = \frac{8}{2}[/tex]
F = 4
The age of fluffy is 4 years old.
Then ,
The age of buddy
B = F + 2
B = 4 + 2
B = 6
The age of buddy is 6 years old.
The required age of the dog buddy is 6 years old and the age of cat fluffy is 4 years old.
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how do u put 3 2/5 in a over b form
Answer:
is it 17/5?
Step-by-step explanation:
1. If m varies directly as v2 and m = 3, when v =2, calculate the value of m when v =9.
(3marks)
Answer:
m = 2/3[tex]2 \frac{3 \\ }{?} [/tex]In August, the Simons’ water bill was $48. In September, it was 15% lower. What was the Simons’ water bill in September?
Answer:
Multiply 48 by .15, you get 7.20
Subtract 7.20 fro 48
Your answer is $40.80
Have a great day and thanksgiveing break
Answer:
Step-by-step explanation:
Multiply 48 by .15, you get 7.20
Subtract 7.20 fro 48
Your answer is $40.80
does this help
Which pair of complex numbers has a real-number product?
* (1 + 3))(61)
* (1 + 3) (2-3)
* (1 + 3) (1-3)
* (1 + 3) (31)
Answer:
(1 + 3i)(1 - 3i)
Step-by-step explanation:
The product of a complex number and its conjugate produce a real number.
given a ± bi the conjugate is a ∓ bi ← where a and b are real, then
(a + bi)(a - bi)
= a² - b² ← a real number
The only pair of conjugate complex numbers in the list is
(1 + 3i)(1 - 3i)
The pair of complex numbers that has a real-number product is:
(1 + 3) (1-3) = -8
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
For a pair of complex numbers to have a real-number product, their imaginary parts must cancel out when the product is expanded.
Let's expand each pair of complex numbers and see which one has a
real-number product:
(1 + 3) x (61) = 61 + 183i
This product has a non-zero imaginary part, so it is not a real number.
(1 + 3) x (2-3) = -5 + 5i
This product has a non-zero imaginary part, so it is not a real number.
(1 + 3) x (1-3) = -8
This product has no imaginary part, so it is a real number.
(1 + 3) x (31) = 124 + 124i
This product has a non-zero imaginary part, so it is not a real number.
Therefore,
The pair of complex numbers that has a real-number product is:
(1 + 3) (1-3) = -8
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An online bookstore sells all paperback books for x dollars each. Aidan bought 7 paperback books and spent $3.95 on shipping. Nina bought 11 paperback books and spent $5.25 on shipping.What expression represents the total amount that Aidan and Nina spent?
Answer:
Here's the answer
Step-by-step explanation
y= 18x+9.20
Help me please, if you don’t know, don’t answer. Thank you <3
Answer:
Step-by-step explanation:
1). (B). Replace one equation with the sum/difference of both equation.
System B is
- 4x - 6y = 9 ........ (1B)
-4x + 3x = - x
- 6y + y = - 5y
9 - 4 = 5
- x - 5y = 5 ........ (2B)
2). Yes, both system are equivalent.
Find the slope between the points (2,4) and (11,1)
Answer:7?
Step-by-step explanation:
Rise 7
Run. 1
Answer:
-3/9
Step-by-step explanation:
m = 1 - 4/11 - 2 (this is the form it's in: m = y2 - y1/x2 - x1)
m = -3/9
rise: -3
run: 9
(m = slope)
if this doesn't make sense look up "how to find the slope of two points"
hope this helps!
Identify the y-intercept of the function y = -4x + 2.
Answer:
It's supposed to be y=2
y is the dependent variable = -4 is slope and x is independent plus 2 which is y intercept
Melody is running in a 5K event. Her father
records her time at three places during the
event as shown in the table below.
Answer:
a
Step-by-step explanation:
i just know
what is 32.4 x 1,000
If a question is like this” 10•1/2” but like there’s a dot in the middle of the problem how do I find out??
Answer:
The answer is 5.
Step-by-step explanation:
That dot is basically a multiplication sign.
Answer:
the dot is a sign for multiplication. Sometimes people use "•" because "x" can sometimes confuses people because "x" is a variable in algebra as well
Step-by-step explanation:
Sharon kicks a ball from the ground into the air with an upward velocity of 64 feet per second. The function h = -16t2 + 64t models the height h, in feet, of the ball at time t, in seconds. When will the ball reach the ground again?
1 second after the ball is thrown
2 seconds after the ball is thrown
3 seconds after the ball is thrown
4 seconds after the ball is thrown
i believe that the answer is 4 seconds but i dont understand how to work it out
Answer:
Step-by-step explanation:
use the equation of motion for a projectile moving un der gravity h = ut + (1/2)gt^2 where u = initial velocity, h = height, t = time and g = acceleration due to gravvity here u = 64 fts-1 and g = -32 ft s-2
Can u tell me the answers for 2 and 3
Answer:
at least 1.7
Step-by-step explanation:
i think sorry if wrong
Answer:
Step-by-step explanation:
i believe the question is asking for slope
so for the first one: it's -1/2
second one: 3/2
what is the value of f (4) if it is defined by f (x) =2x+3
Answer:
11
Step-by-step explanation:
Substitute 4 for x
2(4) +3
Answer:
11
Step-by-step explanation:
F(x) = 2x+3 is just a function, so if you replace one of the "x" with 4 you have to replace the other one so it just becomes
F(4) = 2(4) + 3 then you do 2(4) = 8 then add 3 to it and it gets you 11.
hope this helps
So the distance of a aircraft flies a proportional relationship whith its number of hours inflight. The table shows the number of miles flown for a number of hours in flight. Find the constant of proportionality. How long will the jet take to travel 5,880.
Answer:
The constant of proportionality is 490
The jet will take 12 hours to travel 5,880 miles
Step-by-step explanation: The miles multiply by 490 each time.
490 x 12 is 5,880
The constant of proportionality is k = 490 and the equation is y = 490x where x is the number of hours and y is the total number of miles
The time required is 12 hours
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the distance of the aircraft be = x
Let the total time taken by the aircraft be = y
Let the constant of proportionality be k
when x = 1 ,
y = 490
So , the equation will be y = kx
Substituting the values in the equation , we get
y = 490x
when x = 2
y = 490 ( 2 )
y = 980
Now , the time taken by aircraft to travel 5,880 miles is
Substitute the value of y as 5880 in the equation , we get
5880 = 490x
Divide by 490 on both sides of the equation , we get
x = 5880 / 490
x = 12
Therefore , the time taken is 12 hours
Hence , the constant of proportionality is 490
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ill mark brainliest help !!!!
49.65 lbs
the pic is blurry so i hope i added right, but i believe all you had to do was add it all together
i really need help on 2 !!
Answer:
x=2
y=-1
z=3
Step-by-step explanation:
X = 7+2y-z
3(7+2y-z)+y-z=2
21+6y-3z+y-z=2
21+7y-4z=2
7y-4z=-19 (subtract both side by 21)
2(7+2y-z)+3y+2z=7
14+4y-2z+3y+2z=7
14+7y=7
7y=-7 (subtract both side by 14)
y=-1 (divide both side by 7)
{7y-4z=-19
{y=-1
7.-1 - 4z=-19
-7-4z=-19
-4z=-12
Z=3
x=7+2y-z (y=-1 z=3)
x=7+2.-1 - 3
x=7-2-3
x=2
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal
Percent:
9514 1404 393
Answer:
6/100.660%Step-by-step explanation:
6 of the 10 bars are shaded, so the shaded area is 6/10 of the whole.
"Six tenths" as a decimal is 0.6, that is, a number with 6 in the tenths place.
To convert the number to a percent, multiply either the fraction or the decimal by 100%.
0.6 × 100% = 60%
Find the equation of the line through point (4,−7) and parallel to y=−23x+32.
Answer:
y = -23x + 85
Step-by-step explanation:
for an equation to be parallel to another, they must have the same slope. So plugging in (4, -7) we get -7 = -23(4) + P. P being the new y intercept we must find. Now simple algebra add -23(4) = -92 to both sides and we get 85 = P. Plug in to y = mx + b and we get
y = -23x + 85
Jessica waxes 20m squared of the floor in 3/5 of an hour and waxes the floor at a constant rate. How many square meters can she wax per hour?
Answer:
E
Step-by-step explanation:
Answer:
33.3333333
Step-by-step explanation:
Can someone tell me the answer and explanation plz I’ll give brainlist and points
Answer:
b
Step-by-step explanation:
I double checked, its b
Find the slope of the line given the table
a. m = -3
b. m = -2/3
c. m = 2/3
d. m = -3/2
Answer:
D. -1.5
Step-by-step explanation:
need help ASAP please
ANSWER ASAP PLEASE!!! I NEED HELP!!!
Answer:
2 cm
Step-by-step explanation:
Answer:
the answer is 2cm
Step-by-step explanation:
Samantha has 8 blue shirts, 4 red shirts, and 6 white shirts. What is the ratio of red shirts to the total number of shirts?
O A. 2:9
O B. 2:7
O C. 2:5
OD. 2:3
Answer:
the answer is B 2:7
Step-by-step explanation:
5. Find the factors for the given quadratic.
x2 -21x + 20
Answer:
(x - 20)(x - 1)
Step-by-step explanation:
Given
x² - 21x + 20
Consider the factors of the constant term (+ 20) which sum to give the coefficient of the x- term (- 21)
The factors are - 20 and - 1 , since
- 20 × - 1 = + 20 and - 20 - 1 = - 21 , thus
x² - 21x + 20 = (x - 20)(x - 1) ← in factored form
Answer:[tex](x-1)(x-20)[/tex]
Step-by-step explanation:
(x-1)(x-20)
[tex]x^{2}[/tex]-20x-1x+20
[tex]x^{2}[/tex]-21x+20
A young girl looks out the window of an airplane flying at an altitude of 436 feet and sees a boat floating in the lake. If she looking at the boat at an angle of depression of 50 degrees, then how far is the boat from the plane, to the nearest tenth of a foot?
Write an equation of the line through the point (–2, 5) that is perpendicular to the line y = 2/3x-2
Answer:
y= -3/2x + 2
Step-by-step explanation:
Bobby and Petra are running a lemonade stand and they charge 45 cents for each glass of lemonade. To break even they must make $25. How many glasses of lemonade they must sell to break even?
Answer: 56
Step-by-step explanation:
factor x^2+5x-84 please
Answer:
Step-by-step explanation:
The factors of 84 are: [tex]\pm: 1, 84, 2, 42, 3, 28, 4, 21, 6, 14, 7, 12 ...[/tex]
7 and 12 can make 5. Since 84 is negative and 5 is positive, the larger number of the two must be the positive number in the factorization. In this case, it is
[tex](x+12)(x-7)[/tex]