Answer: The smallest number to be divided by 768 is 768. The number obtained will be one and the square root of 1 is 1.
Step-by-step explanation:
We need to find a number that when being divided by 768 we will get a perfect square number. First list the perfect square numbers ,which starts from 1,4,9,16,25,36,49,64.....
In these perfect squares the least of them is 1, meaning that we need to find a number that when divided by 768 we will get 1. We know that when a number is divided by the same number we get 1. Meaning that the smallest number to be divided by 768 to get 1 is 768 itself.
The number obtained is 1 .
The square root of one is 1.
A large right triangle is going to be a part of a geometric sculpture, as shown below.
The hypotenuse will be 10 feet long. The length of one leg of the triangle is 4 feet less
than twice the other leg. Find the length of each leg, in feet, and separate them with a
comma.
H
ft
10
2x-4
Answer:
Step-by-step explanation:
Let's call one leg of the triangle "x" and the other leg "2x-4". We can use the Pythagorean theorem to solve for the lengths of the legs:
x^2 + (2x-4)^2 = 10^2
x^2 + 4x^2 - 16x + 16 = 100
5x^2 - 16x - 84 = 0
We can solve this quadratic equation by factoring or using the quadratic formula. Factoring gives us:
(5x + 14)(x - 6) = 0
So x = -14/5 or x = 6. We can discard the negative solution since we're dealing with lengths. Therefore:
x = 6
2x - 4 = 8
The lengths of the legs are 6 feet and 8 feet.
find out the value of x.Help me out pls!!!
Answer:
80
Step-by-step explanation:
the A and X are equal
Ted spent half of his weekly allowance playing arcade games. To earn more money his parents let him wash the car for $7. What is his weekly allowance if he ended with $14?
His weekly allowance is $
Answer:
$3.50
Step-by-step explanation:
14-7=7
7 divided by 2 = 3.50
:)
❤ Hey There!! ❤
The answer is below!!
-------------------------------------------------------------------------------------------------------------
Step-by-step explanation:
[tex]14-7=7[/tex]
[tex]7[/tex] [tex]divided[/tex] by [tex]2 =$3.50[/tex]
So, Your answer is $[tex]3.50[/tex]
P.S Tell me if this is wrong.....
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Which equation does NOT represent a function?
A) y=12
B) 3x+4y=6
C) x=y^2-9
D) y=3x^2-5
Answer:
A
Step-by-step explanation:
Because it is the only one that is not asking you to solve. It is simply stating that y is equal to 12.
Hope this helps!
A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 340 milliliter of a dressing that is 9% vinegar. How much of each brand should she use?
A line passes through the points (2, –2) and (–6, 2). The point (a, –4) is also on the line. What is the value of a?
Answer: a = 6
Step-by-step explanation:
The slope of the line is -1/2 so if y = -4, x = 6. In your case, x is a.
Hope this helps!
Solve. 6x +12x = 72.
x=
PLEASE HELP I REALLY NEED HELP
Answer:
x=4
Step-by-step explanation:
6x+12x=72
18x=72
x=4
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of $125.25 for each ton of sugar. The second company charges $5897 to rent trucks plus an additional fee of $175.50 for each ton of sugar. 1)for what amount of sugar do the two companies charge the same ? []tons 2) what is the cost when the two companies charge the same? s[]
Answer:
The two companies charge the same for 12 tons of sugar.
Amount charged by each of the company [tex]=\$8003[/tex]
Step-by-step explanation:
Let x denotes amount of sugar for which the two companies charge the same.
Amount charged by the first company [tex]=6500+125.25x[/tex]
Amount charged by the second company [tex]=5897+175.50x[/tex]
To find amount of sugar for which the two companies charge the same,
solve [tex]6500+125.25x=5897+175.50x[/tex]
[tex]6500+125.25x=5897+175.50x\\6500-5897=175.50x-125.25x\\603=50.25x\\x=\frac{603}{50.25}\\ x=12[/tex]
So, the two companies charge the same for 12 tons of sugar.
Amount charged by the first company [tex]=6500+125.25(12)=8003[/tex]
Amount charged by the second company [tex]=5897+175.50(12)=8003[/tex]
Amount charged by each of the company [tex]=\$8003[/tex]
find all missing angles. show your work.
The angles are as follows:
∠1 = 51°
∠2 = 34°
∠3 ≅ 95°
∠4 = 38°
∠5 ≅ 47°
∠6 = 74°
∠7 = 59°
The angles are as follows:
∠1 = 180 - 129 = 51° (angle on a straight line)
∠2 = 180 - 95 - 51 = 34° (sum of angles in a triangle is 180 degrees)
∠3 ≅ 95° (vertically opposite angles)
∠4 = 180 - 47 - 95 = 38° (sum of angles in a triangle)
∠5 ≅ 47°(vertically opposite angles)
∠6 = 180 - 47 - (180 - 121) = 74°(sum of angles in a triangles)
∠7 = 180 - 121 = 59°(angle on a straight line)
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Morgan purchased a new car, which depreciates over time. Morgan’s car depreciates
according to the function y=62,150( . 9999)xx, where x represents the number of months since
the car was purchased. What is the range of the exponential function y based on its equation
and the context of the problem?
The range of the exponential function y based on its equation and the context of the problem is a set of positive real numbers less than the initial value of 62,150, representing the decreasing value of the car over time.
The given function represents the depreciation of Morgan's car over time, where x represents the number of months since the car was purchased. The function is y = 62,150 * (0.9999)^x.
To determine the range of the exponential function y, we need to consider the context of the problem. In this case, the range represents the possible values for the car's depreciation, or the value of y.
The base of the exponential function is 0.9999, which is less than 1. When a value between 0 and 1 is raised to a positive power, it decreases exponentially as the power increases. Therefore, as x (the number of months) increases, the value of y (the car's depreciation) decreases.
Since the base is less than 1, the range of the exponential function y is also less than the initial value of 62,150. As x approaches infinity, the value of y approaches 0, but it will never actually reach 0.
In practical terms, the range of the exponential function represents the decreasing value of the car over time. It indicates that the car's depreciation is continuous and will approach zero but will never completely reach zero.
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Simplify. 3/5 · 3/9 help a guy out
Answer: 0.18 or 9/50
Step-by-step explanation:
Answer:
well I am not sure anymore and I don't know how to delete my answer so sorry
Step-by-step explanation
Which statement describes the system of equations?
The system has infinitely many solutions.
The system has no solution.
The system has one solution
The system has one solution
Step-by-step explanation:
7y = 9x-27
sub 7x = 9x-27 into 2nd eqn
45 + (9x-27) = 9x
move 9x over
18 = 9x - 9x
18 = 0
this doesn't make sense, so eqn has no solution
Answer:
The system has no solution
Step-by-step explanation:
if the equation has infinitely many solutions for x, what is the value of b ?
If the equation has infinitely many solutions for x, the value of b that results in infinitely many solutions for x is b = 5/2.
To determine the value of b in the equation a(x + b) = 4x + 10, we can analyze the conditions that would result in infinitely many solutions for x.
First, let's simplify the equation:
a(x + b) = 4x + 10
Expanding the left side of the equation
ax + ab = 4x + 10
Now, let's rearrange the equation to isolate x:
ax - 4x = 10 - ab
Factor out x on the left side:
x(a - 4) = 10 - ab
For the equation to have infinitely many solutions, the coefficient of x (a - 4) must be zero, because any value of x would satisfy the equation.
Therefore, we have:
a - 4 = 0
Solving for a:
a = 4
Substituting the value of a into the equation:
4 - 4 = 0
0 = 0
The equation holds true, indicating that a = 4 satisfies the condition for infinitely many solutions. Now, we can find the value of b.
Substituting a = 4 into the original equation:
4(x + b) = 4x + 10
Expanding:
4x + 4b = 4x + 10
Since the x terms cancel out, we are left with:
4b = 10
Dividing both sides by 4:
b = 10/4
Simplifying:
b = 5/2
Therefore, the value of b that results in infinitely many solutions for x is b = 5/2.
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The demand for good X has been estimated by Qxd=12-3Px + 3Py. Suppose that good X sells at $2 per unit and good Y sells for $1 per unit. Calculate the own price elasticity. Multiple Choice -0.2 -0.67
Therefore, the own price elasticity of good X is approximately -0.67.(rounded to 2 decimal places)
To calculate the own price elasticity of good X, we need to use the formula:
Own Price Elasticity = (% change in quantity demanded) / (% change in price)
Given that the price of good X is $2 per unit, we can substitute the price (Px) into the demand equation:
Qxd = 12 - 3Px + 3Py
Substituting Px = $2 and Py = $1 into the equation, we get:
Qxd = 12 - 3(2) + 3(1)
= 12 - 6 + 3
= 9
Now, let's calculate the quantity demanded when the price changes by a small amount, let's say $0.10. We can substitute Px = $2.10 into the demand equation:
Qxd' = 12 - 3(2.10) + 3(1)
= 12 - 6.30 + 3
= 8.70
Using these values, we can calculate the percentage change in quantity demanded and the percentage change in price:
% change in quantity demanded = (Qxd' - Qxd) / Qxd * 100
= (8.70 - 9) / 9 * 100
= -0.30 / 9 * 100
= -3.33% (rounded to 2 decimal places)
% change in price = (Px' - Px) / Px * 100
= (2.10 - 2) / 2 * 100
= 0.10 / 2 * 100
= 5%
Now, let's calculate the own price elasticity using the formula:
Own Price Elasticity = (% change in quantity demanded) / (% change inprice)
= -3.33% / 5%
= -0.67 (rounded to 2 decimal places)
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can someone help me on this plz
A map has a scale of 3 cm 18 km in Riverside Riverside in Smithville are 54 km apart then they are how far apart on the map
Divide actual km by scale km:
54/18 = 3
Multiply scale cm by that:
3 x 3 = 9
They are 9cm apart on the map
The number of hours Brittany has been hiking varies directly with the total distance she has traveled, in miles. She can hike 8 miles in 3 hours. How many miles can Brittany hike in 12 hours?
Answer:
24 miles
Step-by-step explanation:
for every 3 miles she can hike 8 miles so she can hike 24 miles in 12 hours
Write the prime factorization for the number 50.
Write the prime factorization for the number 120.
Someone please help me
Answer:
4: 2x2
7: 3+4
9: 27 divided by 3
11: 5+6
12: 6x2
14: 7x2
17: 9+8
21: 3x7
26: 11+15
27: 3x9
Step-by-step explanation:
We have to use equations to represent the following numbers: 4, 7, 9, 11, 12, 14, 17, 21, 26, 27 only using the numbers 1,2,3,4,5
Rae was asked to compute 243, 192 x 4. She wrote: 243, 192 x 4 - 8 | 16 12 | 4 | 36 | 8 1. What was Rae thinking about? Is her answer correct? 2. Translate Rae's answer into a number that the rest of the world can understand. 3. Use Rae's method to find the answers to these multiplication exercises. Be sure to translate your answers into familiar base 10 numbers. 156 x 3 2873 x 2 71, 181 x 5 3, 726, 510, 392 x 2
This number does not correspond to the correct product of 243,192 multiplied by 4.
Rae's method appears to involve breaking down the numbers into their components and performing the multiplication operations separately. Let's analyze her answer:
243, 192 x 4 - 8 | 16 12 | 4 | 36 | 8 1
It seems that she broke down the number 243,192 into its individual digits (2, 4, 3, 1, 9, and 2) and performed separate calculations for each digit. However, her approach is not mathematically accurate or coherent.
Now, let's translate Rae's answer into a number that can be understood in base 10:
243,192 x 4 - 8 | 16 12 | 4 | 36 | 8 1
If we reassemble the digits without the vertical separators, we get: 8161243681.
However, this number does not correspond to the correct product of 243,192 multiplied by 4.
To find the correct answers using Rae's method, let's apply it to the provided multiplication exercises:
156 x 3:
Applying Rae's method:
156 x 3 - 6 | 15 18 | 3
Reassembling the digits: 6153183
The correct answer: 156 x 3 = 468
2873 x 2:
Applying Rae's method:
2873 x 2 - 6 | 14 16 | 3
Reassembling the digits: 614163
The correct answer: 2873 x 2 = 5746
71,181 x 5:
Applying Rae's method:
71,181 x 5 - 5 | 35 25 | 5
Reassembling the digits: 535255
The correct answer: 71,181 x 5 = 355,905
3,726,510,392 x 2:
Applying Rae's method:
3,726,510,392 x 2 - 4 | 7 14 12 10 | 3
Reassembling the digits: 471412103
The correct answer: 3,726,510,392 x 2 = 7,453,020,784
So, while Rae's approach is not mathematically valid, we were able to compute the correct answers using traditional multiplication methods.
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I will give brainiest. need help asap!
f(6)=50(6)+30
Answer:
f=55
Step-by-step explanation:
f(6)=50(6)+30
then: 6F=330 using distributive, and communitive property
then: divide 6 on each side
and ur answer will be f=55
Can someone answer???my question answer and explanation I’ll give brainlist and points I asked a bunch of times
Answer:
A. see instructions below
B. w = 3
Step-by-step explanation:
A. Apparently, your (machine instructions, algebra) are ...
(multiply by 5, 5w)
(subtract 6, 5w-6)
(divide by 3, (5w-6)/3)
(add 2, (5w-6)/3 +2)
(output the number, 5)
__
B. Working backward, we want to undo each instruction.
(subtract 2, 5-2 = 3)
(multiply by 3, 3·3 = 9)
(add 6, 9+6 = 15)
(divide by 5, 15/5 = 3)
(input the number, 3)
The equation (5w-6)/3 +2 = 5 has the solution w = 3.
Respond to the following required content in a minimum of 175
words:
Provide and discuss a specific example of an
algorithm.
In general, is there only one correct algorithm for a given
problem? Expla
Answer:
Its a perfect square root f ..
Step-by-step explanation:
12 Write the decimal equivalent of the following: answer in the space.
2 5/8=_____
Answer:
2.625
Step-by-step explanation:
2 + 5/8
2 + .625 = 2.625
5/8 = .625
Answer:
ill help
Step-by-step explanation:
solve for x. 2x +5=33
Answer:
x = 14
Step-by-step explanation:
2x +5=33
Subtract 5 from each side
2x+5-5 = 33-5
2x = 28
Divide by 2
2x/2 =28/2
x = 14
Your cell phone plan costs $39.99 per month plus $0.11 for each text message you send or receive. You have at most $45 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next month? The maximum number of text messages is nothing.
Answer:
The maximum number of text messages is 372.8Step-by-step explanation:
Given that the monthly cost is $39.99
and also $0.11 for each text (sent or recieved)
let y be the total cost
let x be the number of text
the model for the total cost is given as
y=3.99+0.11x
given that y=45
45=3.99+0.11x
45-3.99=0.11x
41.01=0.11x
divide both sides by 0.11
x=41.01/0.11
x=372.8
PLEASE HELP ASAP
Determine the x-intercept, y-intercept, and slope of the line described by −3x+7y=−21
Please state what the x-intercept, y-intercept, and slope is!!!
Answer:
Slope = 3/7
y - intercept: y = -3
x - intercept x = 7
Step-by-step explanation:
You have to cimplify the equation in terms of y
-3x +7y= -21
7y= 3x-21
y = 3/7x - 3
SLOPE: It is whatever x is mutlipliedby
slope would be 3/7
Y intercept: you need to plug in x=0
y = 3/7(0) - 3
Zero multipled by anything is zero so you are left with
y = -3
X intercept: plug in y = 0
0 = 3/7x - 3
Move the -3 to the other side
3 = 3/7x
Multiply by the reciprocal 7/3
x = 7/3 * 3
x = 21/3
x = 7
The diameter of the Sun is about 1.4 x 10^6 km. The diameter of the planet
Mercury is about 5000 km.
What is the approximate ratio of the diameter of the Sun to the diameter of
Mercury?
A. 2.8 x 10^2
B. 3.6 x 10^-3
C. 3.6 x 10^2
D. 2.8 x 10^3
Answer:c
Step-by-step explanation:
The approximate ratio of the diameter of the Sun to the diameter of
Mercury 3.6 x 10^-3.
We have given that,
The diameter of the Sun is about 1.4 x 10^6 km.
The diameter of the planet Mercury is about 5000 km.
We have to determine the approximate ratio of the diameter of the Sun to the diameter of Mercury.
What is the diameter?
A circle's diameter is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. It can also be defined as the most extended chord of the circle. Both definitions are also valid for the diameter of a sphere.
The approximate ratio of the diameter of the Sun to the diameter of
Mercury 3.6 x 10^-3.
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mathstronauts has 3 bags of marbles. bag a has 345 marbles. bag c has 180 marbles.he says bag a has the most and bag c has the least marbles. how many marbles could be in bag b explain your reasoning
Step-by-step explanation:
i hope i have been useful buddy.
good luck ♥️ ♥️♥️.
factorize: 3x^3-13x^2+16
