Answer: 3/10 or (Decimal form: 0.3)
3 message Bill weighs 120 pounds and is gaining 10 pounds per month. Phil weighs 204 pounds and is losing 4 pounds per month. How many months will it take for Bill to Weigh the same as Phil? Write an equation to solve this problem
Answer:
6 months
Step-by-step explanation:
120 +10x = 204 - 4x
10x + 4x = 204 - 120
14x = 84
x = 6
The graph below shows the relationship between time and distance traveled by a race
car moving at a constant rate and at its maximum speed. How long did it take the
race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
t = 4.2 h
Step-by-step explanation:
We can calculate the time taken by the car to travel 400 miles, easily by taking a difference of time in graph between 0 miles and 400 miles value:
t₄₀₀ = 3.5 h - 0 h
t₄₀₀ = 3.5 h
Now, we calculate the constant speed of the car from the following formula:
s = vt
v = s/t
where,
v = velocity of the car = ?
s = distance covered by the car = 400 mi
t = time taken = 3.5 h
Therefore,
v = 400 mi/3.5 h
v = 114.28 mi/h
Now, for this uniform speed the time taken to cover the distance of 480 miles will be:
114.28 mi/h = 480 mi/t
t = (480 mi)/(114.28 mi/h)
t = 4.2 h
I’m so confused can anyone help?
Answer:
Step-by-step explanation:
The answer is 15.
1/5 is 10
1/2 is 25
25+10=35
50-35 is 15, your answer. Hope this helped :)
3/8+2/5 what is the answer
Answer:
31/40
Step-by-step explanation:
if you travel 480 miles at an average speed of 40 miles per hour for how many hours were you traveling
Answer:
The answer is 12 hoursStep-by-step explanation:
To find the time taken for an object to travel given it's velocity and distance covered we use the formula
[tex]time = \frac{distance}{speed} \\ [/tex]
From the question
distance = 480 miles
speed = 40 mi/h
So we have
[tex]time = \frac{480}{40} = \frac{48}{4} \\ [/tex]
We have the final answer as
12 hoursHope this helps you
Which figure has an order 3 rotational symmetry
Answer:
Equilateral triangle
Equilateral triangle has an order 3 rotational symmetry. In geometry, a figure has rotational symmetry if it moves onto itself under rotation about an angle at center of rotation.
Step-by-step explanation:
Equilateral triangle has an order 3 rotational symmetry. In geometry, a figure has rotational symmetry if it moves onto itself under rotation about an angle at center of rotation. Hope this helps! :)
Answer:
Equilateral triangle on EDG
Step-by-step explanation:
what is the value for x in the form of p
does 4(px+1)=64
Step-by-step explanation:
4(px + 1) = 64
Step 1: Add -4 to both sides.
4px + 4 -4 = 64 + -4
4px = 60
Step 2: Divide both sides by 4p.
4px = 60
4p 4p
x = 15
p
Let x = the length of the shorter piece of rope. x + (1/2)x = 24 (3/2)x = 24 (2/3)(3/2)x = (2/3)(24) x = 16 The lengths of rope are 16 feet and 8 feet. A student solves the problem to the left as shown. Which statements describe the solution? Check all of the boxes that apply.
Answer:
Step-by-step explanation:
Given the question
A rope is 24 feet long. It is cut into two pieces such that one piece is half the length of the other. Find the lengths of the two pieces of rope.
Options
The stated solution is correct (lengths of 16 feet and 8 feet).
Based on the way the variable is defined, the equation should be x + 2x = 24.
The equation is written correctly, but there is an error in solving the equation.
The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
2
Let the length of one piece be x (shorter piece) and the other be y.
If the rope is cut into two pieces and 24ft long, then;
x+y = 24.......... 1
If one piece is half the length of the other, then x = y/2..... 2
substitute equation 2 into 1
y/2 + y = 24
take the LCM
y+2y/2 = 24
3y/2 = 24
cross multiply
3y = 48
Divide both sides by 3;
3y/3 = 48/3
y = 16 feet
Since x = y/2
x = 16/2
x = 8 feet
Based on the calculation above, I can conclude that;
- The student stated solution is correct (lengths of 16 feet and 8 feet)
- The way the variable is defined, and because x=16, the longer piece of rope would be 32 feet, which is not possible.
- Based on the way the variable is defined, the equation should be x + 2x = 24.
Help me pls dodkrkkdiodod
Answer:
2 with an exponent of 6,
Example: 2x2x2x2x2x2
The exponent is just the number multiplied that many times to itself
Step-by-step explanation:
Example: 2x2x2x2x2x2 =
2x2=4x2=8x2=16 and so on
Hope this helped!
Answer:
i73489013848eirrlgdjfknkln cklvnbklncb nclxnklzndlgkfnxdknsklnlzndjsknjkdnfksnznfjnzjkfnnzknlnkznskdnzjksnvnv
Step-by-step explanation:
América is not a country
whats the answer please help
Answer:
The answer is 1,200 in. tall
Step-by-step explanation:
Because you just need to multiply length times width so the length would be 40 in. and width would be 30 in. so 40 x 30= 1,200 in.
Find m<1 and m<2. Justify your answer.
Answer:
M<1 80 by the corresponding angles postulate
Step-by-step explanation:
John bought 5 notebooks for a total of $10. Which equation could be used to calculate the cost of the notebooks, y, based on the number
of notebooks purchased, X?
I'm pretty sure it's B.
NEED HELP ASAP TYSMMM
Answer: 2
Step-by-step explanation:
they already gave you what x is, all you have to do is plug x in where you see it.
(3)^2 - 5(3) + 8
9 - 15 + 8
please help quickly ill give brainliest if its correct
2p10
Step-by-step explanation:
12/55 × 15/16 Give your answer as a fraction in its simplest form.
Answer:
9/44
Step-by-step explanation:
12 * 15
55 16
12 * 15 = 180
55 * 16 = 880
180
880
/2
90
440
/2
45
220
/5
9
44
What is the value of b in this diagam?
A.12
B. 10.2
C.9
D.8
Answer:
We can't tell because we can't see the diagram.
Step-by-step explanation:
Could you link the diagram?
Answer:
Answers is D 8
Step-by-step explanation:
Victoria and her friends are going to the skateboard shop to pickup some equipment. They buy two new skateboards for $87.98 each, 3 pairs of kneepads for $14.57 each, and 4 helmets for $21.24 each. What is their total cost? (hint: don't forget the $) * 50 points
Answer:
$304.63
Step-by-step explanation:
From the information provided, the total cost can be calculated by multiplying the price of each item for the amount purchased and adding up the results:
Total cost=($87.98*2)+($14.57*3)+($21.24*4)
Total cost=$175.96+$43.71+$84.96
Total cost= $304.63
According to this, the answer is that their total cost is $304.63.
Are 2x^3y & 2xy^2 like terms
Answer:
No
Step-by-step explanation:
Let's define our 2 terms first.
2x³y
2xy²
We see here that one term has a x³y and the other has a xy² term. Since they are not the same, the 2 terms are not like terms.
can someone help me to solve 3/4÷1/2=
Answer:
3/4 ÷ 1/2 is one and one half or 3/2
Answer:
1.5 or 1 1/2
Step-by-step explanation:
3/4 divided by 1/2 is simply a reverse order of multiplication.
As you see if you swap the 1 and 2 in one half you get 2 over 1.
This changes the division sign to a multiplication sign.
Thus then you can multiply 3/4 by 2 to get 6/4.
6/4 then can be simplified as 1 and 1/2 or 1.5.
Please help asap!!!!!!!!!
Exact answer is 29415.5844
However if you round the multiplier it is
2.942x10^4 or $29420
Step-by-step explanation:
Plug it in a calculator. Divide debt by population.
HELP ME ? HEHEHE HEHEHEHEHEHEHEHEH HELPPP MEEE
Answer:
Your answer is -6 just count down with negatives
i'll make the person who solves this the brainlest Evaluate the expression:
-2 1/4 + 8 + (- 1 3/4 ) - 1
Answer:
3
Step-by-step explanation:
Convert to improper fraction then do the math from there
Which statement describes the mapping? A. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value. B. The mapping does not represent y as a function of x, because two of the x-values correspond to the same y-value. C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value. D. The mapping does not represent y as a function of x, because there are more x-values than different corresponding y-values.
Answer:
The answer is
C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.
Step-by-step explanation:
In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x
like the difference equation relating y and x.
In a function, for every value of x plugged into the function there is always a corresponding value of y.
Example.
Given the function
y=2x+5.
find the value of y when x=0
we are going to substitute x=0 and solve
y=2(0)+5
y=5
so for x=0 y=5
The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter
of the rectangle.
Answer:
18
Step-by-step explanation:
6+6+3+3
6+6+6
18
Find f(3).
f(x) = x2 + 5x - 9
A) 7
B) 10
C) 9
D) 15
Answer:
f(3) = 15. Correct: D)
Explanation:
Numeric Value of a Function
The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:
[tex]f(x)=x^2+5x-9[/tex]
It is required to find f(3), or the numeric value of f when x=3. Replace x for 3
[tex]f(3)=3^2+5(3)-9[/tex]
[tex]f(3)=9+15-9[/tex]
[tex]f(3)=15[/tex]
A) Incorrect. f(3) is not 7
B) Incorrect. f(3) is not 10
C) Incorrect. f(3) is not 9
D) Correct. f(3) =15 as found above.
Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 72 days. Provide 3 decimal places and a label in your answer.
Answer:
The amount of Polonium-210 left in his body after 72 days is 6.937 μg.
Step-by-step explanation:
The decay rate of Polonium-210 is the following:
[tex] N(t) = N_{0}e^{-\lambda t} [/tex] (1)
Where:
N(t) is the quantity of Po-210 at time t =?
N₀ is the initial quantity of Po-210 = 10 μg
λ is the decay constant
t is the time = 72 d
The decay rate is 0.502%, hence the quantity that still remains in Alexander is 99.498%.
First, we need to find the decay constant:
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex] (2)
Where t(1/2) is the half-life of Po-210 = 138.376 days
By entering equation (2) into (1) we have:
[tex] N(t) = N_{0}e^{-\frac{ln(2)}{t_{1/2}}*t}} = 10* \frac{99.498}{100}*e^{-\frac{ln(2)}{138.376}*72} = 6.937 \mu g [/tex]
Therefore, the amount of Polonium-210 left in his body after 72 days is 6.937 μg.
I hope it helps you!
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls now?
Answer:
Cheryl's age = x = 7 years
Rita's age = y = 17 years
Step-by-step explanation:
Let
Cheryl's age = x
Rita's age = y
Two years ago, Rita was three times older than Cheryl
(y - 2) = 3(x - 2)
y - 2 = 3x - 6
y = 3x - 6 + 2
= 3x - 4
y = 3x - 4
In 3 years, Rita will be twice older than Cheryl
(y + 3) = 2(x + 3)
y + 3 = 2x + 6
y = 2x + 6 - 3
= 2x + 3
y = 2x + 3
Equate both equations
3x - 4 = 2x + 3
Collect like terms
3x - 2x = 3 + 4
x = 7 years
Substitute x = 7 into
y = 2x + 3
= 2(7) + 3
= 14 + 3
= 17
y = 17 years
Cheryl's age = x = 7 years
Rita's age = y = 17 years
#3: Create an equation that include at least 3 steps and the
distributive property that has a solution of 6.
You are building a shelf that fits in a corner. In the figure, the entire shelf is 2 points ABC. If each unit in the coordinate plane represents one inch, then the
AREA of the shelf is
square inches. A(20,30) B(20,10) C(10,10)
Answer:
100 square inches
Step-by-step explanation:
The width of the shelf is BC = 20 - 10 = 10 inches.
The height of the shelf is AB = 30 - 10 = 20 inches.
The area of a triangle with these dimensions is ...
A = (1/2)bh
A = (1/2)(10 in)(20 in) = 100 in^2
The area of the shelf is 100 square inches.