Answer:
$1,007.81
Step-by-step explanation:
A survey found that 12 out of every 15 people like eating at restaurants. If 500 people surveyed like eating at restaurants, how many people took the survey?
if the answers are 600 | 625 | 15 | 500
[URGENT]
Answer:
625
Step-by-step explanation:
625
Please help me guys!!!
find the distance between (-6,0) and (-9,-4)
Answer:
5 units
Step-by-step explanation:
d=
[tex] \sqrt{(x2 - x1}^{2} ) + \sqrt{(y2 - y1) {}^{2} } [/tex]
Mary is twice as old as Helen’s age, If 8 is subtracted from Helen’s Age and 4 is added to Mary Age? Mary will be 4 times as old as Helen. What are the ages
Answer:
set mary is x years old, and helen is y years old.
first sentence:x=2y
second one:4(y-8)=x+4
bring x=2y in 4(y-8)=x+4
=>4y-32=2y+4
=>2y=36
=>y=18
=>x=36
mary:36
helen:18
We want to write and solve a system of equations that models given situation. We will see that Helen is 18 years old, and Mary is 36 years old.
Let's define the variables we will be using.
m = Mary's age.h = Helen's age.We know that "Mary is twice as old as Helen’s age"
Then:
m = 2*h
"If 8 is subtracted from Helen’s Age and 4 is added to Mary Age, Mary will be 4 times as old as Helen."
(m + 4) = 4*(h - 8)
Then the system of equations is:
m = 2*h
(m + 4) = 4*(h - 8)
To solve it, we can replace m by 2*h in the second equation, so we get:
(2h + 4) = 4*(h - 8)
2*h + 4 = 4*h - 32
4 + 32 = 4*h - 2*h
36/2 = h = 18
And we know that:
m = 2*h = 2*18 = 36
So Helen is 18 years old, and Mary is 36 years old.
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Simplify the following expressions ?
-9x+9x^2+8x^2+4x
Answer:
-5x+17x^2
Step-by-step explanation:
Hope that helps good luck
9514 1404 393
Answer:
17x^2 -5x
Step-by-step explanation:
"Simplify" in this context means "combine like terms." It can help to group the terms with the same variables.
-9x+9x^2+8x^2+4x
= 9x^2 +8x^2 -9x +4x
= x^2(9+8) +x(-9+4)
= 17x^2 -5x
what is 4/9 times what equals 12
Step-by-step explanation:
4/9A = 12
A = 12×9/4
= 27
......
Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
8t - 7 ≤ 41 || t ≤ 6
Step-by-step explanation:
8t - 7 ≤ 41
+7 +7
---------------
8t ≤ 48
÷8 ÷8
----------------
t ≤ 6
four pumpkins weigh 26 pounds altogether. Pumkin one weighs four less than three times the weight of Pumkin threee. Pumkin four weighs twice as much as pumkin One. Pumpkin Two weighs five more pounds than Pumkin three. What does each pumpkin weigh
Answer:
5, 8, 3, 10 lbs.
Step-by-step explanation:
We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].
Our equations are thus:
[tex]a + b + c + d = 26[/tex]
[tex]a = 3c - 4[/tex]
[tex]d = 2a[/tex]
[tex]b = c + 5[/tex]
So now we just need to solve this system of equations.
We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.
First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].
[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]
And now we put the three equations into the first equation:
[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]
Then we simplify to get:
[tex]11 c - 7 = 26[/tex]
[tex]11c = 33\\c = 3[/tex]
So we know pumpkin [tex]c[/tex] weighs 3 pounds.
Then we use the equations from before to get the value of the other pumpkins:
[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]
And we can check our results by putting into first equation:
[tex]5+8+3+10=26[/tex]
So it works out!
Thus our pumpkins weigh 5, 8, 3, 10 lbs each.
3x+x√3-2=0. Find value of x
[tex] \sf \: 3x + x \sqrt{3} - 2 = 0 \\ \\ \sf \longrightarrow 3x + \sqrt{3} x = 2 \\ \\ \sf \longrightarrow \sqrt{3}x ( \sqrt{3} +1 ) = 2 \\ \\ \sf \longrightarrow \sqrt{3} x = \frac{2}{ \sqrt{3} + 1 } \\ \\ \sf \longrightarrow x = \frac{2}{ \sqrt{3}( \sqrt{3} + 1) } \\ \\ \sf \longrightarrow x = \frac{2}{3 + \sqrt{3} } \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = \frac{2(3 - \sqrt{3} )}{(3 + \sqrt{3})(3 - \sqrt{3} )} \\ \\ \sf \longrightarrow x = \frac{6 - 2 \sqrt{3} }{ {3}^{2} - {( \sqrt{3}) }^{2} } \\ \\ \sf \longrightarrow x = \frac{6 - 2(1.732)}{9 - 3} \\ \\ \sf \longrightarrow x = \frac{2.536}{6} \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}[/tex]
How far has the car gone
Answer:
uhh how am i suposed to know that u ahve o image
the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?
Help please
Answer: x = 9/5 or [tex]1\frac{4}{5}[/tex]
35 1/5 is the perimeter of the square and the triangle.
Step-by-step explanation:
The square has 4 sides, so the perimeter of the square is 4(x+3)
The triangle has 3 sides so the perimeter is 3(3x-1)
The perimeters are equal, so 4(x+3) = 3(3x-1)
Solve by distributing and then
4x +12 = 9x - 3 subtract 4x from both sides and add 3 to both sides
4x-4x +12 -3 = 9x-4x -3 +3 cancel the zero sums and combine similar terms.
9 = 5x divide both sides by 5
x = 9/5
Check: 4(9/5 +3) = 3[3(9/5) -1]
36/5 + 3 = [3( 27/5 -1 ] 27/5 -3 -3 equivalent -15/5 27/5 -15/5 = 12/5
36/5 = 3(12/5) = 36/5 TRUE! simplify to mixed numbers
35 1/5 is the perimeter of the square and the triangle.
Answer:
u,
Step-by-step explanation:
Rotation is a ______?
A. Spin or turn
B.slide
C.mirror or flip
D.move
HURRY PLEASE
Answer:
A) Spin or turn
Step-by-step explanation:
Find the solution of the system of equations
4x-8y=44
2x+4y=-6
It is easiest to solve this system by elimination.
4x-8y=44
(2x+4y=-6) -2 ----> multiply the second equation by -2 to create equations where the x coefficients are opposites
4x-8y=44
(+) -4x-8y=12
-16y=56
y = -7/2
now substitute the value of y into one of the above equations and solve for x
4x – 8(-7/2) = 44
4x + 28 = 44
4x = 16
X = 4
So, the solution is (4, -7/2)
The solution of the system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 4x-8y=44 ...(1)
and 2x+4y=-6...(2)
To eliminate y term we have to multiply equation 2 with 2.
4x+8y=-12..(3)
Now add equation 1 and 3.
4x-8y+4x+8y=44-12
8x=32
Divide both sides by 8
x=4
Now plug in x value in equation 1
4(4)-8y=44
16-8y=44
Subtract 16 from both sides
-8y=44-16
-8y=28
Divide both sides by 8
y=-28/8
y=-7/2
=-3.5
Hence, the solution of the system of equations is (4, -3.5).
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Solve for x. 4(x+1)= -3x-10
Answer:
4x+4=-3x-10
4x+3x=-10-4
x= -14
Step-by-step explanation:
Answer:
x = -2
Step-by-step explanation:
P.E.M.D.A.S
4(x + 1) = 4x+4
now we have 4x + 4 = -3x - 10.
now we can combine like terms which are x
4x and -3x, to combine like terms we can either subtract 4x on both sides or -3x on both sides, but lets do 4x.
now we have this
4x + 4 = -3x - 10.
-4x -4x
= 4 = -7x - 10
now we can isolate x by its self so we have to add 10 on both sides
4 = -7x - 10
+10 +10
and we get
14 = -7x
now we can divide -7 to get x by its self
14/-7 = -7/x
we get for our final answer
x = -2
(1 point)
Calculate the directional derivative of f(x, y) = cot-'(xy) in the direction of v = -4i + 5j at the point P = (0.5, 0.5).
Remember to normalize the direction vector.
DS(0.5, 0.5) =
Looks like f(x, y) = cot⁻¹(xy), as in the inverse cotangent.
If you're like me and you don't remember the derivative of the inverse trig functions, we can derive it as follows. Let y = cot⁻¹(x), so that for appropriate x we can write cot(y) = x. By the chain rule, differentiating both sides gives
-csc²(y) y' = 1
y' = -sin²(y) = -sin²(cot⁻¹(x)) = - 1 / (x² + 1)
Next, recall that the derivative of a function f(x, y) at a point (a, b) in the direction of a vector v is given by
∇ f(a, b) • v
Compute the gradient ∇ f(x, y) :
∇ f(x, y) = - y / ((xy)² + 1) i - x / ((xy)² + 1) j
At the point P, we have
∇ f(x, y) = - 8/17 i - 8/17 j
So, the derivative of f at P along v = - 4 i + 5 j is
(- 8/17 i - 8/17 j) • (- 4 i + 5 j) = - 8/17
A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price.
How much sales tax will be charged at Store B?
Answer:
72 on edge
Step-by-step explanation:
Answer:
94.50
Step-by-step explanation:
For the figure shown on the right find M 1
Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º.
Hence, the measure of the remaining interior angle is given by:
60º + 61º + x = 180º
x = 59º.
What are supplementary angles?
Two angles are supplementary if the sum of their measures is of 180º.
An interior angle is supplementary with it's respective exterior angle, hence:
m<1 + 59º = 180º
m<1 = 121º.
The measure of angle 1 is of 121º.
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Please help me I can’t figure it out
Answer:
its C.
Step-by-step explanation:
omg that took forever to solve
write the given equation of a line that passes through two given points (0,1) and (2,2)
Answer:
m=slope y = intercept
m= y2-y1 / x2-x1
2-1 / 2-0 = 1 /2
now pick one of the points and put in for y and x
use (2,2) 2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y intercept
Step-by-step explanation:
The equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope= 2-1 / 2-0 = 1 /2
Now pick one of the points and put in for y and x use (2,2).
2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y-intercept
The equation will be written as:-
y = ( 1 / 2) x + 1
Therefore, the equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1.
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Please see question below in picture
If the variance of the data values in a population is 225, what is the standard
deviation of the data values?
a.15
b.17
c.11
d.13
(apex)
Answer:15
Step-by-step explanation:
Apex
In five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela. How old is each now?
Answer:
so how you would wNt to go about this is we dont know tge ages so youd use variables
Answer:
Khalil is 7 years old. Angela is 2 years old.
Step-by-step explanation:
I hope this helps
50 Points
What is the value of y?
Answer:
y=14
Step-by-step explanation:
measure of a=50degrees b=50 degrees c=(5(14)+10) =80
50+50+80=180
Answer:
Y= 14
Step-by-step explanation:
a=50degrees
b=50 degrees
c=(5(14)+10) =80
50+50+80=180
how do you do this step by step?
Answer:
Step-by-step explanation:
How many feet are in 120 inches?
Enter your answer in the box.
ft
The required converted value is 10 feet, which is 120 inches into feet.
As we know that unit conversion is the process of converting a quantity from one unit of measurement to another. It refers to multiplying the given quantity by a conversion factor that blends the two proportional units.
To convert inches to feet, we use the conversion factor:
1 foot (ft) = 12 inches (in)
Therefore, to convert 120 inches to feet, we divide by the conversion factor:
120 inches / 12 in/ft = 10 feet
So, there are 10 feet in 120 inches.
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6. When you barter, you must ________
in order to buy something.
Answer:
When you barter, you must trade it for something else in order to buy something.
Step-by-step explanation:
When you barter, you must exchange in order to buy something.
What is barter?Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.
Given: A person barters
Therefore he must trade it for something else (exchange) in order to buy something.
Hence, When you barter, you must exchange in order to buy something.
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Helpp me PlzzzzzZZzz
Answer: B. Distributive Property
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Distributive Property
1 2 TIME REMAIN 50:24 How could Theo check his work? Check all that apply. Theo solved n + 5 = 11 for the unknown. The steps he took are shown. He started with 5 tiles. He could substitute 5 forn in the original equation and add. He could substitute 6 for n in the original equation and add. Then he added tiles as he counted up to 11. He could subtract 5 from 11 and check that the answer is 6. He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6. He could subtract 11 from 5 and check that the answer is 6. O He could put all the tiles in 1 pile to count them to see if there are 11 in all.
Answer:
so first you do the work than check
Step-by-step explanation:
cómo se escribe el número 88,317
Answer:
Eighty-Eight thousand three hundred seventeen
Step-by-step explanation:
Answer:
ochenta ochenta mil trescientos diecisiete
Step-by-step explanation:
No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.
In training for a swim meet, Logan swam 750 meters in \large \frac {1}{3}
3
1
of an hour. His swimming partner, Mila, swam \frac {2}{3}
3
2
of Logan's distance in \frac {1}{4}
4
1
of an hour. 2. What is Mila's average swimming speed? Show your work.
Answer:
500
Step-by-step explanation:
