The square root of one hundred forty is less than one hundred five ninths. So, option D is correct.
According to this question we have to compare the square roots of both numbers One Hundred Forty and One Hundred Five Ninths. So, we have to calculate their square roots.
The square root of One hundred Forty: √140
The square root of One hundred Forty: 11.832
The square root of One Hundred Five Ninths: √159
The square root of One Hundred Five Ninths: 12.609
Comparing both of their square roots we can clearly see that :
(11.832) < (12.609)
The square root of 140 < Square root of 159
Hence, option D is correct. The square root of 140 is less than 159.
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Could someone please help me solve this, I have a few hours left and I’m really struggling so bad
Answer:
8
Step-by-step explanation:
shirts = 10, price per shirt = $9
shirts = 25, price per shirt = $8.40
Linear equation be:
y = mx + b
x = 10 , 25
y = 9 , 8.40
9 = 10m + b
8.4 = 25m + b
9 = 10 m + b b = 9 - 10m
8.4 = 25m + b 8.4 = 25m + 9 - 10m
8.4 - 9 = 15m m = -0.6/15 = -0.04
m = - 0.04
b = 9 - 10m = 9 - 10(-0.04) = 9+0.4 = 9.4
b = 9.4
The linear equation =
y = mx + b
y = -0.04x + 9.4
Hope this helped xx ?<3
What is the slope of the line that passes through the points (1, -7) and
(-2, -7)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
To find the slope of a line, you have to use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
So, plug in the numbers: [tex]\frac{-7-(-7)}{-2-1}[/tex]
Simplifying it becomes: [tex]\frac{-7+7}{-2+-1}[/tex]. It then becomes [tex]\frac{0}{-3}[/tex].
Finally, dividing 0 by -3 gets you 0.
Distributive Property and Combining Like Terms WS2
Objective
To simplify algebraic expressions using the distributive property.
Simplify
1. 4(3x+1) 12x+4
2. −5(5x−4)
3. -(2x-1)
I need to know the answer
The equivalent expressions of the given expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1How to simplify the algebraic expressions using the distributive property?The expressions are given as
4(3x + 1)-5(5x − 4)-(2x - 1)The distributive property stated that
a(b + c)= ab + ac
Using the above as a guide, the equivalent expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1Read more about distributive property at
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Write the equation of the line in fully simplified slope-intercept form
Answer:
y = 3x - 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (1, - 4) ← 2 points on the line
m = [tex]\frac{-4-2}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3
the line crosses the y- axis at (0, - 7 ) ⇒ c = - 7
y = 3x - 7 ← equation of line
Compare 71.815 and 701.815
Answer:
71.815<701.815
Step-by-step explanation:
The product of five and number, increased by 34 is 24. What is the number?
Answer:
The number is -2
Step-by-step explanation:
First let's turn this into an equation
5 times a number (we'll use x) + 34 = 24
5x+34= 24
Now to start solving the problem
First thing's first, let's carry over the 34 to the other side by subtracting 34 from both sides. This helps us try to get x by itself
5x+34 = 24
-34 -34
5x = -10
Now we just divide both sides by 5 to get rid of it entirely from the x
5x = -10
/5 /5
x = -2
Your number should be -2
We can also check by plugging -2 back into the equation for x
5 (-2) +34 = 24
-10 +34 = 24
24 = 24
Since they are both equal, -2 is really your answer
I hope this helps :)
need an answer asap please
Answer:
the answer is A
that is 828263
Which of the expressions are equivalent to the one below? Check all that
apply.
(6.1)-8
A. 6-(1-8)
B. (1-8) (6-8)
C. 8- (1.6)
D. (1.6)-8
Answer:
C. & D.
Step-by-step explanation:
I believe it is C & D because, They both are in the same order just switched around, combine like like terms on both sides of the equation then if they are identical then they're equivalent.
Evaluate 3x^2-2x+8 when x=3
Step-by-step explanation:
f(x) = 3x² - 2x + 8 , x = 3
f(3) = 3.3² - 2.3 + 8
= 27 - 6 + 8
= 29
Solve for g.
G+1/ 2=2
Answe
G=1.5
Step-by-step explanation:
Find a cofunction equivalent to sin
5π
12
Cofunction equivalent to [tex]$\sin (5 \pi / 12)=\cos (1 \pi / 12)$[/tex].
You use the formula for the sine of a sum:
[tex]$$\sin (a+b)=\sin a \cos b+\cos a \sin b$$[/tex]
Think of a pie divided into twelve slices. Three of them form one quarter, two more form one sixth of the pie. So, thinking of the "pie" as [tex]$\pi$[/tex]:
[tex]\frac{5 \pi}{12}=\frac{\pi}{4}+\frac{\pi}{6}[/tex]
With that in mind, put [tex]$a=\frac{\pi}{4}, b=\frac{\pi}{6}$[/tex] into the sine formula given above:
[tex]$$\sin \left(\frac{5 \pi}{12}\right)=\sin \left(\frac{\pi}{4}\right) \cos \left(\frac{\pi}{6}\right)+\cos \left(\frac{\pi}{4}\right) \sin \left(\frac{\pi}{6}\right)$$[/tex]
Plug in the familiar values [tex]$\sin \left(\frac{\pi}{4}\right)=\cos \left(\frac{\pi}{4}\right)=\frac{\sqrt{2}}{2}, \cos \left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}$[/tex], [tex]$\sin \left(\frac{\pi}{6}\right)=\frac{1}{2}$[/tex], and you get the answer given above. And, yes, putting that expression into a calculator gives [tex]$0.9659$[/tex] (four significant digits).
The cofunction of an angle θ is the trigonometric complement of an angle. It shows the relationship between trignometric functions:
List the cofunction formula for [tex]$\sin$[/tex]
[tex]$$\sin (\theta)=\cos (\pi / 2-\theta)$$[/tex]
Plug in [tex]$\theta=5 \pi / 12$[/tex] for our cofunction formula:
[tex]$$\sin (5 \pi / 12)=\cos (\pi / 2-5 \pi / 12)$$[/tex]
Determine common denominator in radians
We use a common denominator of [tex]$(12 \div 2)=6$[/tex]
[tex]$\sin (5 \pi / 12)=\cos (6 \pi / 12-(5 \pi / 12))$[/tex]
[tex]$\sin (5 \pi / 12)=\cos (1 \pi / 12)$[/tex]
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When f(n)=32 what is the value of n
Answer:
32
Step-by-step explanation:
That is a weird question. Usually questions like that include a variable. Its like saying n = 32. It just gives the answer. Assuming you didn't miss anything, this is the answer.
5-(-7)=5+______ finish the equation
Answer:
7
Step-by-step explanation:
subtracting a negative is the same as just adding the number, so five minus negative seven is just five plus seven
How long would it take for a ball dropped from the top of a 121-foot building to hit the ground? Round your answer to two decimal places.
I don't need to know the actual answer, I'm just not sure what to plug in where into this formula: h=-½gt^2 +v0t+h0
The time that it will take the ball to hit the ground in 4 seconds.
How to solve equation of motion?To solve this problem you need the function;
h(t) = -16t² + v₀t + h₀
where;
t = time
v₀ is the initial velocity, which in our case is 0
h₀ is initial height, which in our case is 121 ft
h(t) = 0 since we want to know when the ball will hit the ground.
Thus;
0 = -16t² + 121
And we can solve for t;
If we rearrange the terms we see that this is a difference of 2 squares
0 = 121 - 16t²
0 = (11 - 4t)(11 + 4t)
Setting each factor = 0 gives;
11 - 4t = 0 11 + 4t = 0
t = 11/4 or t = -11/44
The second solution is discarded as time cannot be negative.
Thus, the ball will hit the ground in 4 seconds.
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What is the approximate value for
813 divided by 13
A. 30
B. 35
C. 40
D. 45
None of the options is correct. 813 divided by 13 equals 62.538461, whose approximate value is 62
13 times 813 equals 62.538461.
813/13 produces a non-terminating, repeating decimal as a consequence.
The repeating pattern seen above, 538461, is referred to as repetend and is shown with an overline and vinculum.
Another typical parenthetical remark is this one: 813/13 = 62.(538461): However, it's likely that you may see the reptend marked with an ellipsis in daily use: 813 / 13 = 62.538461… .
Decimal 813 divided by 13 equals 62.538461.
In a fraction, 813 is equal to 813/13.
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may anyone please help me with math
Answer:
In decimal
[tex] - 2.8[/tex]
As fraction
[tex] \frac{ - 14}{5} [/tex]
And as mixed fraction
[tex] - 2 \frac{4}{5} [/tex]
Step-by-step explanation:
Greetings !
Given expression
[tex]f(x) = \frac{x - 8}{x + 11} [/tex]
Thus, plug in -6 in the variable x and solve
[tex]f( - 6) = \frac{ - 6 - 8}{ - 6 + 11} [/tex]
solve -6-8 = -14
solve -6+11 = 5
[tex] = \frac{ - 14}{5} [/tex]
Apply fraction rule
[tex] \frac{ - a}{b} = - \frac{a}{b} [/tex]
Thus
[tex] = - \frac{14}{5} [/tex]
Convert iimproper fraction to mixed fraction .
[tex] \frac{14}{5} = 2 \: \: remainder \: \: 4[/tex]
[tex]convert \: to \: mixed \: number \\ quotient \frac{remainder}{divisor} [/tex]
whereas
[tex] \frac{14}{5} = 2 \frac{4}{5} [/tex]
[tex] = - 2 \frac{4}{5} [/tex]
Hope it helps !!!
An amusement park charges $70 for admission before 6 P.M.
and $25 for admission after 6 P.M. On Saturday, the park took in a total of $28,000.
a. Write an equation that represents the number of admissions that may have been
sold. Let x represent the admissions sold before 6 P.M., and let y represent the
admissions sold after 6 P.M.
b. Graph the equation.
c. Find the x- and y-intercepts of the graph. What does each intercept represent? Please help the due date is tomorrow
The x-intercept is 0.4 and the y-intercept is 1.2.
Given that, an amusement park charges $70 for admission before 6 P.M. and $25 for admission after 6 P.M. On Saturday, the park took in a total of $28,000.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x represent the admissions sold before 6 P.M., and let y represent the admissions sold after 6 P.M.
According to the question, we get the equation as 70x+25y=28,000
The graph of the obtained equation is given below.
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
From the graph, the x-intercept is 0.4 and the y-intercept is 1.2.
Therefore, the x-intercept is 0.4 and the y-intercept is 1.2.
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A business has a budget of $720 to spend on their marketing campaign. Each month, x, the business spends $40 on different advertisements. The amount of money remaining in the budget
for marketing can be modeled by the function Mx)=-40x+720. Based on the graph of the linear function M(x) and the context of the problem, what is the domain?
O [10, 18]
O [10, 720]
0 [10, 8]
O [R]
A reasonable domain for this function is [0, 18)
Domain of a functionThe domain of a function is a value of the independent variable of the function for which it exists.
Given the equation below:
M(x)= -40x+720
Since the function represents the The amount of money remaining in the budget for marketing then the function f(x) must be greater than zero;
−40x + 720 > 0
-40x> -720
x < 720/40
x < 18
This shows that a reasonable domain for this function is [0, 18)
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A thief, after committing a theft runs at a uniform speed of 50 m/minute. After 2 minutes, a policeman runs to catch him. He goes 60 m in first minute and increases his speed by 5 m/minute every suceeding minute. After how many minutes, the policeman will catch the theif?
Answer:
The police will catch the thief in 5 minutes.
Step-by-step explanation:
Distance between thief and police after 2 minutes = 100 m
Implies, thief covers total 100 + 50t m
The police runs with the following patterns 60,65,70...
This is an Arithmetic Progression with a = 60, d = 5 & number of terms = t
t/2 (2 × 60+ (t − 1) ×5)= 50t + 100
t× (120 + 5t −5)= 100t + 200
(−3+13)÷2= 5
So, the police will catch the thief in 5 minutes.
What is the area of a triangle ABC with AB=AC=5cm and BC=6cm?
Answer: 12 cm^2
Step-by-step explanation:
BC ==> Base of triangle
Divide the triangle in two parts:
BC/2=BC'
6/2=BC'
BC'=3
Distance formula: a^2+b^2=c^2
c^2-a^2=b^2
5^2-3^2=b^2
25-9=b^2
b^2=16
b=4 ==> height of triangle
Area of triangle=A. b=base. h=height
A=1/2 * b * h=
A=1/2 * 6 * 4
A=1/2 * 24
A=12 cm^2
4 divided by 527 step by step
when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to congestion on the highway if the total traveling time for the round-trip is 50 minutes 5/6 of an hour find the distance between Dallas‘s workplace and home
The required distance is 16.40 km.
This problem can be solved if we know the concept of speed, time and distance.
We know the speed=[tex]\frac{distance}{time}[/tex]
To solve the problem let us assume that the total distance between the workplace and home is x km.
Given that his speed while going from home to work is 45 mph and while returning is 35 mph.
Time for the complete journey is [tex]\frac{5}{6}hr[/tex].
Now according to question;
[tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]
⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]
⇒[tex]16x=\frac{5*315}{6}[/tex]
⇒ [tex]x=\frac{5*315}{6*16}[/tex]
∴ [tex]x=16.40\ km[/tex]
So, the required distance is 16.40 km.
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help out plsssssssssssssss
Answer: as a decimal 1.6
as a fraction 8/5 hope this helps
Step-by-step explanation:
35) A family is planning an annual picnic in Arizona. Rain is forecast for 45 days of the year, but when
rain is forecast, the prediction is correct only 90% of the time. What is the probability that it will rain on
the day of the picnic? Note that it is not a leap year.
Answer:
81/730
Step-by-step explanation:
The chance of picking a day forecasted to have no rain is 45/365.
There is a 90% chance it actually rains on this day, so the probability is
[tex](45/365)(0.9)=81/730[/tex]
please help asap and explain how you got it so i can understand.
Answer:
q = 6
Step-by-step explanation:
|q - 8| = 14
The negatives within an absolute value turn positive so it's really:
q + 8 = 14
q = 6
#17 Write an inequality for
the situation below:
Bring at least $9 for dinner
tomorrow.
The inequality will be:
x ≥ $9
Which says that x can be equal to or larger than $9.
How to write an inequality?An inequality is a mathematical statement that relates two or more mathematical elements (variables, expressions, etc.) in such a way that there is not a equality like in an equation (an equality can be a solution, but not necessarily)
For example, if x represnts what you bring for dinner, we know that x needs to be at least $9.
So x = $9 is a solution.
But if x is a larger value than $9, it also is a solution.
This situation is represented by the inequality:
x ≥ $9
Which says that x can be equal to or larger than $9.
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Please help me redo this vin diagram. I will give a Brainly and extra pouts.
Answer:
see attached
Step-by-step explanation:
You want a Venn diagram that represents the flavor preferences of 135 students.
Venn DiagramThe diagram you show is a good start. It usually works best to start by filling in the center spot, where all three circles overlap. You have correctly identified the number liking all three flavors as 15.
Working outward, the next step is to fill in the numbers for those who like two flavors. These numbers already include the number who like all three. This means ...
caramel + vanilla (only) = (caramel + vanilla) (28) - (caramel +vanilla +chocolate (15)
caramel + vanilla (only) = 28 -15 = 13
Similar computations are done for the other "likes 2 only" spots on the diagram:
chocolate + caramel (only) = 31 -15 = 16
chocolate + vanilla (only) = 22 -15 = 7
In like fashion, the numbers for one flavor only need to subtract out the numbers already inside the circle for that flavor.
chocolate (only) = 63 -16 -15 -7 = 25
Finally, the number of students having no preference is found by subtracting the numbers inside the parts of the circles from the total number of students:
no preference = 135 -111 = 24
The attachment shows the completed diagram.
En que líquido se hunda más rápido un huevo
Answer:
Se hunde mas rapido en agua salada.
Step-by-step explanation:
Biking Tri
Maureen went on a 3 day, 59 mile biking trip. The first day she biked 15.5 miles. The second day she
biked 21.9 miles. How many miles did she bike on the 3rd day ?
Answer:
21.6 miles
Step-by-step explanation:
59-15.5-21.9= 21.6
or
21.6+15.5+21.9= 59
Larry put $1,287 into a savings account 8 years ago. • The account earned 4% simple annual interest. • He made no additional deposits or withdrawals. Based on this information, what is the balance in dollars and cents in Larry's savings account at the end of these 8 years? Record your answer in the boxes below. Be sure to use the correct place value.
The balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
What is the balance in dollars and cents in Larry's savings account at the end of these 8 yearsThe given parameters are
Principal, P = 1287
Rate, R= 4%
Time, T = 8
The balance in dollars and cents in Larry's savings account at the end of these 8 years
Balance = P * PRT
This gives
Balance = 1287 + 1287 * 4% * 8
Evaluate
Balance = 1698.84
Hence, the balance in Larry's savings account at the end of these 8 years is 1698 dollars and 84 cents
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