Answer:
22, 17, and 44.
Step-by-step explanation:
So what you do is you will have three equations that we will put together.
1. x. The first number is x because they don't give us anything about it.
2. x-5. It says that the second number is 5 less than the first number.
3. 2x. It says that the third number is 2 times the first number.
x+x-5+2x=83.
4x-5=83.
4x=88.
x=22.
That is the first number. To find the second and third, you will plug 22 into the x.
2. 22-5=17.
3. 2(22)=44.
22, 17, 44 are your answers.
Final answer:
By setting up equations based on the information provided, we solved for x as the first number and then used it to determine the other two numbers. The three numbers are 22, 17, and 44.
Explanation:
The sum of three numbers is 83. This is the first equation we'll use to solve the problem. Let's denote the first number as x. According to the question, the second number is 5 less than the first, which gives us the second equation y = x - 5. For the third number, it is given as 2 times the first, hence the third equation is z = 2x.
Now, we'll combine all three equations to express the sum:
x + (x - 5) + 2x = 83
Simplifying, we combine like terms:
4x - 5 = 83
Adding 5 to both sides gives us:
4x = 88
Dividing by 4, we find the first number:
x = 22
Now we'll use x to find the other two numbers:
y = 22 - 5 = 17
z = 2 × 22 = 44
Therefore, the three numbers are 22, 17, and 44.
The table represents a bicycle rental cost in dollars as a function of time in hours.
which explains weather or not the function represents a direct variation ?
a.would be the best answer to me because base in the table is you look carefully.you would see that it is double by yen and it is a constant. rate of change a linear function. that is why I think it's the best answer.
Answer:
A
Step-by-step explanation:
It can not be B, because the statement in the reasoning is false.
Nor can it be C, the statement is irrelevant and unnecessary.
Nor D, it makes no sense.
It's A because it is true and makes sense.
How do I find the radius of a circle
Answer: 17
Step-by-step explanation: To find the radius of Q, you'd have to solve for x. So, 4x+3=7x-6, which results in x equaling 3. Next, bisect the chord EF, so it will be 8. Solve for QA, which is 15 and use the pythagorean theorem to solve: x^2=15^2+8^2 -> x=17
If the interest earned is $25 and the principal is $500 and the interest rate is 5%, what is the time?
Formula = simple interest= principal times annual interest rate times the time in years
To find out how long it takes to earn $25 in interest on a principal of $500 at a 5% annual interest rate, use the simple interest formula. The calculation reveals it takes 1 year.
Explanation:The question asks us to determine the time it takes to earn $25 in interest on a principal of $500 at an annual interest rate of 5% using simple interest. The formula for simple interest is Interest = Principal × Rate × Time. We can rearrange this formula to solve for time (Time = Interest / (Principal × Rate)).
Given that the interest earned is $25, the principal is $500, and the rate is 5% (0.05 in decimal form), we substitute these values into our rearranged formula to find the time.
Interest = $25Principal = $500Rate = 5% or 0.05Substituting these into the formula gives us:
Time = $25 / ($500 × 0.05) = $25 / $25 = 1 year
Therefore, it takes 1 year to earn $25 in interest at a 5% annual rate on a $500 principal using simple interest.
find the approximate value of b in the triangle shown.
13
12
8
5
Answer:
The answer is D. 5
Step-by-step explanation:
Answer:
The side b is 5 units
Step-by-step explanation:
Given the two sides of triangle and one angle of triangle we have to find the remaining side of triangle.
a=12 units
c=10 units
∠B=24°
we have to find the side b of triangle ABC
By cosine law,
[tex]\cos B=\frac{a^2+c^2-b^2}{2ac}[/tex]
[tex]\cos 24^{\circ}=\frac{12^2+10^2-b^2}{2(12)(10)}=\frac{144+100-b^2}{240}[/tex]
[tex]b^2=244-240\cos 24^{\circ}=24.7490901658[/tex]
[tex]b=4.97\sim 5units[/tex]
find the vertex for this function. f(x)=-2x^2+8x-11
[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{8}{2(-2)}~~,~~-11-\cfrac{8^2}{4(-2)} \right)\implies \left( 2~~,~~-11+\cfrac{64}{8} \right) \\\\\\ (2~~,~~-11+8)\implies (2~~,~~-3)[/tex]
An ant is 2.0x10^-2 meters long.if you put 10 million ants in a line, how long is the line ?
A.200 m
B.2,000 m
C.20,000 m
D.200,000 m
Answer:
2.0*10^5 meters
Step-by-step explanation:
To answer this question, multiply
2.0*10^(-2) meters by 10 million, that is:
2.0
------ * 10*10^6 meters
10²
This expression simplifies to:
2.0*10^5 meters (which corresponds to answer D).
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters.
An ant is 2.0x10^-2 meters long. If you put 10 million ants in a line, the total length of the line would be 200,000 meters (D).
What is 0.888 into a fraction, is it over 100ths or 1,000's?
Thanks for using Brainly!
[tex]0.888 = 111/125 = 88.8percent[/tex]
I just gave you 0.888 is it's fraction and percentage.
First, 111/125 is the simplified answer and is over the 100th and is not big enough for the 1,000's.
Second, 111/125 as a percentage is 88.8%.
Have a great day.
If the sale tax rate is 8.75% in New York State, how much sales tax would you pay for a $35 pair of pants? And at Best Buy they have a 50" TV tagged as $1250. It's on sale for 15% and sale tax is 8%. What is the final cost?
The pants are $38.06 and the television is $1,147.50.
The sales tax on the pair of pants is calculated by multiplying $35 x .0875 = $3.06
The total cost is $35 + 3.06 = $38.06.
The sales price of the television is calculated by multiplying $1,250 x .85, (100 - .15 discount = .85) = $1,062.50 is the sales price
The sales tax is calculated by multiplying $1,062.50 x .08 = $85
The total price is $85 + $1,062.50 = $1,147.50
In a 30-60-90 triangle, the length of the long leg is 8. Find the length of the hypotenuse.
Answer:
Step-by-step explanation:
In a 30-60-90 triangle, the ratio of the lengths of the angles' opposite sides are 1-√3-2.
If the long leg is 8, then the short one is 8/√3, or 8√3/3.
Therefore, the hypotenuse, which is double the short leg, is 16√3/3.
In a 30-60-90 triangle, the long leg is √3 times the short leg and the hypotenuse is twice the short leg. By knowing the long leg and using these relationships, we can work out the short leg and then the hypotenuse. In this specific problem, the hypotenuse of the triangle is approximately 9.24.
Explanation:
In a 30-60-90 triangle, the ratio of the side lengths is consistent. The length of the long leg is always √3 times the length of the short leg. The hypotenuse, which is the longest side of the triangle, is always twice the length of the short leg. If the length of the long leg is 8, the formula of this triangle can be used to find the length of the hypotenuse.
However, in your question, the length of the short leg isn't given. But based on the formulas for a 30-60-90 triangle, we can work it out. As long as we know that the long leg is √3 times the short leg, we can solve for the short leg, hence it's 8/√3.
Then, as the hypotenuse is twice the short leg, so hypotenuse = 2 * (8/√3) = 16/√3 ≈ 9.24.
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I NEED HELP PLEASE PLEASE PLEASE (35 POINTS)
Answer:
a
Step-by-step explanation:
Given f(x) = 10 -2xfind f(7). –4 3 7 56
Answer: [tex]f(7)=-4[/tex]
Step-by-step explanation:
1. You have the following function given in the problem:
[tex]f(x)=10-2x[/tex]
2. Then, to find [tex]f(7)[/tex] asked in the exercise, you only need to substitute [tex]x=7[/tex] (which is the input value) into the given function.
3. Therefore, keeping the above on mind, you obtain that [tex]f(7)[/tex] is:
[tex]x=7[/tex]
[tex]f(7)=10-2(7)[/tex]
[tex]f(7)=10-14[/tex]
[tex]f(7)=-4[/tex]
Answer:
The correct answer is,
f(7) -4
Step-by-step explanation:
It is given that,
f(x) = 10 - 2x
To find f(7)
To find f(7) we have to put 7 instead of x in f(x).
Here f(x) = 10 - 2x,
Step 1: substitute the value x = 7 we get ,
f(7) = 10 - (2 * 7)
= 10 - 14 = -4
Therefore we get the answer f(7) = -4
The correct answer is first option.
the diameter of a single human hair is .000025 meters. rewrite this number in scientific notation.
blank x 10 ^(blank) meters
Answer:
2.5 * 10^-5
Step-by-step explanation:
2.5 * 10^-5
If the number is between 1 and -1 excluding 0. Then
count the number of zeros
add 1 more
write the notation of where you put the decimal place
The power is minus and equal to the number of zeros + 1
0.000025
zeros: the number of zeros = 4
Add 1: 4 + 1 = 5
Decimal goes between the 2 and the 5
2.5
Power: = - 5
Answer: 2.5 * 10^-5
Connor is earning money by mowing lawns over the summer. The amount of profit he makes from mowing x lawns is modeled by the function p(x)=20x-75. What is the most appropriate domain of the function? A. All rational numbers B.all non-negative rational numbers c. All integers d. All non-negative integers
Answer:
Try D
Step-by-step explanation:
The numbers should always be whole, and if you're profiting, you'll never lose money. It should always be a positive number. Hopefully this helps! Good luck
Profit function have domain as set of all non-negative number thus domain of the profit function p(x)=20x-75 will be all non-negative integers so option (D) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given the profit function,
p(x)=20x-75
The graph of this function has been shown below which is representing the domain as (∞,∞) but in the our profit function x is the number of lawns that mowing so it will be a whole number and positive number.
Since domain is the set of all x's value thus it will be domain of the function.
Domian → [0,∞).
Hence "Domain of the profit function p(x)=20x-75 will be all non-negative".
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Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A) rotate 90° clockwise and then translate 6 units down B) translate 4 units down and rotate 180° about the origin C) reflect the triangle across the y-axis and translate 4 units down D) reflect triangle A across the x-axis and then translate 1 unit right
B) Translate 4 units down and rotate 180°
Rule for 180° = (x, y) ---- (-x, -y)
Pick one point on Triangle A. (I picked the pointiest point)
(-5, 6)
Now translate 4 units down.
You will now be on (-5, 2)
Rotate 180°
You will now have (5, -2)
And the pointiest point on Triangle B is (5, -2)
So, B is the correct answer.
Option B is correct. The required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
In order to determine the transformation that will map triangle A to B, we need to do the following:
Select any of the coordinates of the verticesUsing the coordinate point (-5, 6) on triangle AIf a coordinate (x, y) is rotated 180° about the origin, the resulting coordinate will be at (-x, -y)For the coordinate (-5, 6), rotated 180° about the origin, the resulting coordinate will be at (5, -6)If the coordinate is translated 4 units down as seen from the figure, the resulting coordinate of the vertex on triangle B will be at (5, -6+4) i.e. (5, -2)
We can see that it tallies with a similar coordinate on triangle B. Hence the required transformation that will map triangle A to triangle B and illustrate the similarity between the two triangles is translating 4 units down and rotate 180° about the origin
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Can you help me with 4? Can you give me a rule to follow when naming these?
Answer:
2,2 dimethyl propane
Step-by-step explanation:
To name such an organic compound, first identify the longest carbon chain in the provided table, the fourth compound, its longest carbon chain has three carbon atoms thus, the prefix prop-
Then we find the other substituents attached to the carbon chain. In the given compound it has two methyl (CH₃) groups attached to the second carbon atom.
thus 2,2 since there are two attached.
8..................................
Answer:
The answer is [tex]2x^{3}y^{-2}\sqrt{6}[/tex]
Step-by-step explanation:
∵ √24 = 2√6
∵ [tex]\sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}[/tex]
∵ [tex]\sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}[/tex]
∴ [tex]\sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}[/tex]
What is £21,000 split at a ratio of 2:5
Answer:
£6,000 and £15,000.
Step-by-step explanation:
This split works out to 2 fractions: 2 / (2 + 5) = 2/7 and 5/(2+5) = 5/7.
So the required amounts are £21,000 * 2/7 = £6,000 and 5/7 * 21,000
= £15,000.
Please help! f(x)=3x-8 ; {-2,-1,0,1,2}
What is the range?
A: {-15,-11,-8,-5,-1}
B: {-14,-10,-9,-4,-2}
C: {-14,-11,-8,-5,-2}
D: {-14,-10,-8,-4,-2}
Giving brainliest to whoever answers correctly!
The correct answer is (C) !
When you change the value of x, the result changes by 3 each time.
I think the answer is c
The axis of symmetry for this parabola
Y equals -5xsquared plus 10x-14
Answer:
X=1
Step-by-step explanation:
Solve for the vertex of the parabola: (v)
The axis of symmetry for a parabola will always be x=v.
Graphing the function shows the vertex at (1,-9) so the line denoting the axis of symmetry will be x=1.
If f(x)= (1/7)(7^x) what is f(3)
subsitute 3 as x
f(3) = (1/7) × (7^3)
f(3) = 1/7 × 343
f(3) = 343 ÷ 7
f(3) = 49
The required value of f(3) = 49.
f(x)= (1/7)(7^x)
what is exponential function?The function which is in format f(x) = where, a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
f(x)= (1/7)(7^x)
f(3) = 1/7(7^3)
f(3) = 1/7 x 7³
f(3) = 7² = 49
Thus the required value for f(3) = 49
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n edge of Cube A is 8 inches, and an edge of Cube B is 5 inches. To the nearest tenth, how many times greater is the volume of Cube A than Cube B?
Answer:
4.1 times greaterStep-by-step explanation:
The formula of a volume of a cube:
[tex]V=a^3[/tex]
a - edge
Cube A:
a = 8in. Substitute:
[tex]V_A=8^3=512\ in^3[/tex]
Cube B:
a = 5in. Substitute:
[tex]V=5^3=125\ in^3[/tex]
[tex]\dfrac{V_A}{V_B}=\dfrac{512}{125}=4.096\approx4.1[/tex]
Sandi lives 5 miles from her school. One day, she took the bus from her house to school. After school, she went to the library to pick out a book. Then she went to the park to read. If sandi traveled along the route shown, how far did she travel.
Her house to school is 5 miles.
The distance on the map is 2.5 inches, so we know 2.5 inches equals 5 miles.
Divide 5 miles by 2.5 inches to find miles per inch:
5 / 2.5 = 2 miles per inch.
Now you can multiply the other dimensions on the map by 2 to find total miles:
School to Library = 3 x 2 = 6 miles.
Library to Park = 1.5 x 2 = 3 miles.
Total distance traveled: 5 + 6 + 3 = 14 miles.
A rectangle has one side that measures 10 units and another side that measures 4 units.Circle the two measurement units that show the length and width of another rectangle with the same perimeter.
4 units 5units
8 units 3 units
9units 7 units
Answer:
None of the above
Step-by-step explanation:
10 + 10 + 4 + 4 = 28
First choice
4 + 4 + 5 + 5 = 18 X
Second choice
8 + 8 + 3 + 3 = 22 X
Third choice
9 + 9 + 7 + 7 = 32 X
Therefore there is none that are the same.
Answer:
None of the above.
Step-by-step explanation:
A rectangle has one side that measures = 10 units
the another side that measures = 4 units
Perimeter = 2( Length + width )
Perimeter of this rectangle = 2( 10 + 4 )
= 2(14) = 28 units
We have to find the same measurement units that shows the same perimeter.
1. 4 units 5 units
Perimeter = 2( 4 + 5 ) = 2 × 9 = 18 units
2. 8 units 3 units
Perimeter = 2( 8 + 3 ) = 2 × 11 = 22 units
3. 9 units 7 units
Perimeter = 2( 9 + 7 ) = 2 × 16 = 32 units
There are no another rectangle with the same perimeter.
Since no one knows what type of rock my rock was here's some nice juicy points
Answer:
thank you
Step-by-step explanation:
Answer:
i mean its a pretty nice rock i'll give you that much lol
Step-by-step explanation:
A tug boat traveled -15 miles in 0.3 hours what was its velocity
Answer:
22.35 m/s
Step-by-step explanation:
The distance is always a positive unit, so distance traveled (d) = 15 miles
Time (t) = 0.3 hours
Time (t) = 0.3 * 60 = 18 minutes
(1 hour = 60 minutes)
Velocity (v) = ?
The formula of distance is: d = v*t
=> v = d/t = 15/18 = 0.83 miles/minute
we can also calculate velocity is meter/sec, for that
1 minute = 60 sec
=> 18 mins = 18*60 = 1080 sec
1 mile = 1609.34 meters
=> 15 miles = 15 * 1609.34 = 24,140 m
hence,
v = 24,140/1080 = 22.35 m/s
Help please I’ll give you the brainliest
not to sure on how to tell you to answer this one but it looks like 4 inches :)
Question: y=x+11
y=-x+4
Choices:
Neither
Parallel
Perpendicular
Answer:
er
Step-by-step explanation:
Eight less than the product of seven x
Answer:
2x - 8
Step-by-step explanation:
Product of two and a number x
⇒ 2 multiply by x
⇒ 2x
Eight less than 2x
⇒ Take away 8 from 2x
⇒ 2x - 8
Answer:7x-8 is the answer
Hope this helps!
What is the value of c in the equation below?
Answer:
1/4
Step-by-step explanation:
Let's find the value of c.
1 2^2 1
2^(-4)*2^2 = c = --------- * -------- = -------- = 1/4
2^4 1 2^2
this result matches the fourth given possible answer choice.
For this case we have that by definition of power properties:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
We have the following expression:
[tex]2 ^ {- 4} * 2 ^ 2 = a ^ b = c[/tex]
It can be rewritten as:
[tex]\frac {2 ^ 2} {2 ^ 4}[/tex]
By definition of power properties we have:
[tex]\frac {a ^ m} {a ^ n} = a ^ {m-n}[/tex]
So:
[tex]\frac {2 ^ 2} {2 ^ 4} = 2 ^ {2-4} = 2 ^ {- 2} = \frac {1} {2 ^ 2} = \frac {1} {4}[/tex]
Thus, [tex]c = \frac {1} {4}[/tex]
Answer:
Option D
Find the distance between the two points. (-2,-4), (4,1)
61
11
Square Root 61
Square root 22