Simplify -5 + 9 to 4
4 > 44
Since 4 > 44 is false, there is no solution.
= No solution
165 is what percent of 375
44%
1. We assume, that the number 375 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 375, so we can write it down as 100%=375.
4. We know, that x% equals 165 of the output value, so we can write it down as x%=165.
5. Now we have two simple equations:
1) 100%=375
2) x%=165
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=375/165
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 165 is what percent of 375
100%/x%=375/165
(100/x)*x=(375/165)*x - we multiply both sides of the equation by x
100=2.27272727273*x - we divide both sides of the equation by (2.27272727273) to get x
100/2.27272727273=x
44=x
x=44
In one study, the daily use of toilet flushes is 9.1 gallons of water per person per day.
In New York City, water costs $7.64 per 100 cubic feet of water. Calculate the annual cost of toilet flushes for a family of four.
Recall that 7.48 gallons = 1 cubic foot, and assume there are 365 days in a year.
Answer:
$135.70
Step-by-step explanation:
First step is to calculate the daily consumption for this family of four. We'll assume they're all in age to use and flush the toilet themselves (no babies).
So, one person flushes 9.1 gallons a day, a family of 4 would then flush 4 times that:
daily family flushes = 9.1 gal/person * 4 persons/family = 36.4 gal/family
That's for one day... now for a year...
yearly = 36.4 gal/day * 365 days/yr = 13 286 gal/year
Let's convert those gallons into cubic feet:
13 286 gal / 7.48 gal/ft³ = 1,776.2 ft³
Then we multiply the gallons by the price for 100 cubic feet and divide by 100:
1,776.2 ft³ * $7.64 /100 ft³ = $135.70
A toy box has 6 faces.There are square there are 12 edges and 8 vertices.Identify the shape of the toy box.
Answer:
A cube or a cuboid.
Step-by-step explanation:
A cube or a cuboid is a three dimensional shape that has
12 edges, 8 corners or vertices, and 6 faces.
The difference between a cube and cuboid is that a cube has all edges equal which makes every face a square while a cuboid has two square faces and four rectangular faces.
HELP!
In the triangle below, b = ___. If necessary, round your answer to two decimal places.
Answer:
[tex]b=40.01\ units[/tex]
Step-by-step explanation:
we know that
Applying the law of sines
[tex]\frac{b}{sin(B)}=\frac{a}{sin(A)}[/tex]
[tex]b=\frac{a}{sin(A)}(sin(B))[/tex]
we have
[tex]a=25\ units[/tex]
[tex]A=32.5\°[/tex]
Find the measure of angle B
Remember that the sum of the interior angles of a triangle must be equal to 180 degrees
so
[tex]A+B+C=180\°[/tex]
substitute the given values
[tex]32.5\°+B+26.8\°=180\°[/tex]
[tex]B=180\°-59.3\°=120.7\°[/tex]
Find the length side b
[tex]b=\frac{a}{sin(A)}(sin(B))[/tex]
substitute the values
[tex]b=\frac{25}{sin(32.5\°)}(sin(120.7\°))[/tex]
[tex]b=40.01\ units[/tex]
Please help! Determine where f(x) = g(x) by graphing.
A. x = 3
B. x = 2
C. x = 4
D. x = 1
Answer:
C
Step-by-step explanation:
We can point plot to get graph of both the functions.
** Attached is the graph of both the functions. f(x) is in RED & g(x) is in BLUE.
From the graph shown, it is clear that the point of intersection is x = 4, y = 2
So f(x) = g(x) at the point x = 4
Answer choice C is right.
1. Jill had the following scores on her math quizzes 20, 40, 40, 40, 60, 60, 60, 60, 80, 80, 80, 80, 100.
What is the mean score for Jill’s quizzes? Show your work.
a. What is the total of her quiz scores?
b. How many quizzes did she take?
c. What is the average Jill scored on her quizzes?
Answer:
a is 800
b is 13
c is 61.5
Step-by-step explanation:
for a you add all of the given data together
b you count how many data points there are
c you get the answer from the a and divided by 13
By adding all of Jill's quiz scores (totaling 800) and dividing by the number of quizzes (13), we find that Jill's average score is approximately 61.54.
To determine the mean score for Jill's quizzes, we will follow these steps:
Total the quiz scores: Add all individual scores together.
Count the number of quizzes: Determine how many quizzes Jill took.
Calculate the average score: Divide the total score by the number of quizzes.
A. Total of Quiz Scores
20 + 40 + 40 + 40 + 60 + 60 + 60 + 60 + 80 + 80 + 80 + 80 + 100 = 800
B. Number of Quizzes
Jill took 13 quizzes.
C. Average Score
The mean score is calculated by dividing the total score by the number of quizzes:
Mean Score = Total Score / Number of Quizzes = 800 / 13 ≈ 61.54
An ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin. Which is the equation of the ellipse in standard form?
ANSWER
[tex]\frac{ {x}^{2} }{ 16} + \frac{ {y}^{2} }{ 9} = 1[/tex]
EXPLANATION
The given ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin.
The equation of an ellipse with vertices on the x-axis and center at the origin is:
[tex] \frac{ {x}^{2} }{ {a}^{2} } + \frac{ {y}^{2} }{ {b}^{2} } = 1[/tex]
The ellipse has vertex at (4,0) , hence a=4.
Also the co-vertex is at (0,3) , b=3
We substitute the values into the equation to get:
[tex] \frac{ {x}^{2} }{ {4}^{2} } + \frac{ {y}^{2} }{ {3}^{2} } = 1[/tex]
[tex] \frac{ {x}^{2} }{ 16} + \frac{ {y}^{2} }{ 9} = 1[/tex]
The equation of the ellipse centered at the origin with a vertex at (4,0) and a co-vertex at (0,3) is (x/4)² + (y/3)² = 1.
Explanation:The ellipse in question has a vertex at (4,0) and a co-vertex at (0,3), with a center at the origin. The standard form equation for an ellipse with a center at the origin is given by (x/a)² + (y/b)² = 1. In this case, 'a' represents the distance from the center to a vertex, and 'b' represents the distance from the center to a co-vertex. Since our vertex is at (4,0), 'a' equals 4, and since our co-vertex is at (0,3), 'b' equals 3.
So in this case the standard form equation of the ellipse would be (x/4)² + (y/3)² = 1.
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What is the effect on the graph of the parent function f(x)=x when f(x) is replaced with f(x-7)
Answer:
I think it shifts horizontally by 7 units to the right. Not completely sure though.
Step-by-step explanation:
How can the areas of certain shapes be found? What are the meanings of surface area and volume and how can surface area and volume be found
Answer:
Well, to find the area of a:
square and rectangle you multiply (Length x Width) the formula is (LxW)
triangle you multiply (Base x Height) ÷ 2 the formula is (BxH/2)
The meaning of area is: the number of unit squares that can be contained in an object.
The meaning of volume is: the number of unit cubes that completely fill up a solid figure such as an ice cube.
To find the surface area of an object you:
Multiply the length times the width. (of only one side)
But for a triangle you multiply the base times the height, then divide the answer by 2 ( of only one side)
To find the volume you multiply the length times width times height.
But for a triangle you multiply the base times height.
Hope I helped ; )
Final answer:
The surface area and volume of shapes can be found using specific formulas. Surface area is the total area of the outside surface of a three-dimensional object, while volume is the amount of space occupied by the object.
Explanation:
The surface area and volume of certain shapes can be found using specific formulas. Surface area refers to the total area of the outside surface of a three-dimensional object. It is measured in square units. The formula for surface area depends on the shape of the object. For example, the formula for the surface area of a rectangular prism is SA = 2lw + 2lh + 2wh, where l, w, and h represent the length, width, and height of the prism.
Volume, on the other hand, refers to the amount of space occupied by a three-dimensional object. It is measured in cubic units. Like surface area, the formula for volume also depends on the shape of the object. For a rectangular prism, the formula is V = lwh.
Determine whether y varies directly with x. If so, find the constant of variation and write the equation.
Answer:
The answer is yes , k = -2 and y = -2x ⇒ first answer
Step-by-step explanation:
* To prove the variation
- Check the constant change in the values of x and y
- Lets check that from the table
# At x = 1 ⇒ y = -2
# At x = 3 ⇒ y = -6
# At x = 5 ⇒ y = -10
* -6 - -2 = -6 + 2 = -4 ⇒ 3 -1 = 2
-10 - -6 = -10 + 6 = -4 ⇒ 5 - 3 = 2
∴ y decreased by 4 when x increased by 2
* This is a constant change
∴ y is varies directly with x
∴ y ∝ x
∴ y = k x ⇒ where k is the constant of the variation
* Lets find the value of k
- You can use one value of x and y from the table
∵ x = 3 and y = -6
∴ -6 = k (3) ⇒ divide two sides by 3
∴ k = -2
∴ The equation of the variation is = y = -2x
* The answer is yes , k = -2 and y = -2x
Answer:
Yes, k=-2 and y=-2x
Step-by-step explanation:
Using (1,-2) and (3,-6)
[tex]k=\frac{-6--2}{3-1}=-2[/tex]
This implies that
y=-2x
check for the 3rd point;
When x=5,
y=-2(5)=-10
Hence y varies directly as x. The constant of variation is k=-2
Convert 150 pounds into kg.
Answer:
About 68 or 68.03
Step-by-step explanation:
Answer:
it is 68.0388555 Kg when you convert it to Kg.
Step-by-step explanation:
1 pound is 0.45359237 Kg
Can anyone help me with the answer for number 4
Answer:
b
Step-by-step explanation:
Given K is the midpoint of JL, then
JK = KL ← substitute values
6x = 3x + 3 ( subtract 3x from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Hence
JK = 6x = 6 × 1 = 6
KL = 3x + 3 = (3 × 1) + 3 = 3 + 3 = 6
JL = 6 + 6 = 12
6r+7=13+7r help me asap
Answer:
r = - 6
Step-by-step explanation:
Given
6r + 7 = 13 + 7r ( collect terms in r on the left and numbers on the right )
Subtract 7r from both sides
- r + 7 = 13 ( subtract 7 from both sides )
- r = 6 ( multiply both sides by - 1 )
r = - 6
6r+7=13+7r
-6r -6r
------------
7=13+1r
flip the equasin to make it easier
13+1r= 7
-13 -13
---------
1r= -6
Andy, David and Tim altogether have 180 stamps. Andy has 20 fewer than David, and Tim has 80% of the sum of Andy's and David's stamps.How many stamps does each of them have?
andy has 40
david has 60
tim has 80
Answer:
Step-by-step explanation:
Alright, lets get started.
Let Andy have A stamps.
Let David have D stamps.
Let Tim have T stamps.
Andy, David and Tim altogether have 180 stamps, means
[tex]A+D+T=180....................... equation 1[/tex]
Andy has 20 fewer than David, means
[tex]A+20=D...............................equation 2[/tex]
Tim has 80% of the sum of Andy's and David's stamps, means
[tex](A+D)*0.8=T........................equation 3[/tex]
Putting the value of D as A+20 in equation 1 and 3
[tex]A+A+20+T=180[/tex]
[tex]2A+T=160[/tex]........................equation 5
[tex](A+A+20)0.8=T[/tex]
[tex](2A+20)0.8=T[/tex]
[tex]1.6A+16=T[/tex] ....... equation 6
Plugging the value of T in equation 5
[tex]2A+1.6A+16=160[/tex]
[tex]3.6A=144[/tex]
[tex]A=40[/tex]
[tex]D = 40+20 = 60[/tex]
[tex]T=1.6*40+16[/tex]
[tex]T=64+16=80[/tex]
It means Andy has 40 stamps.
It means David has 60 stamps.
It means Tim has 80 stamps.
Hope it will help :)
The point (-2,11) is on the graph of y=4x^2+2x-1
True
False
Nope, it aint there. False
finding the solutions of inequality
-7x+14>-3x-6
Answer:
x < 5
Step-by-step explanation:
- 7x + 14 > - 3x - 6
14 > 4x - 6
20 > 4x
x < 5
Answer:
x>5
Step-by-step explanation:
-7x+14>-3x-6
-4x+14>-6
-4x>-20
-x>-5
x>5
The equation of line AB is (y-3) = 5(x-4) what is the slope
Answer:
slope = 5
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 3 = 5(x - 4) ← is in point- slope form
with slope m = 5
Dinner at your favorite restaurant cost $64.50 with tax for you and your family. You give the waiter $75 to pay the bill and a tip. What is the approximate percentage of the tip?
Answer:16
Step-by-step explanation:
original price
100
=
new price
new percent
;
64.5
100
=
75
x
64.5x = 7500 → x ≈ 116.3
Subtract 100 from the new percent (116.3 − 100 = 16.3) → 16%
The approximate percentage of the tip is 14%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Dinner at your favorite restaurant cost $64.50 with tax for you and your family.
You give the waiter $75 to pay the bill and a tip.
That means,
the tip amount = 75 - 64.50
= 10.50
The tip percentage,
= 10.50 x 100 / 75
= 14%
Therefore, 14% is the required percentage.
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Machine A produces 75 fishing lures per minute. Machine B produces 50 of the same lure per minute. How long will it take both machines running to produce 2100 fishing lures? A.14.4 minutes B.16.8 minutes C.18.2 minutes D.20.7 minutes
Answer: Option B
16.8 minutes
Step-by-step explanation:
Machine A produces 75 fishing lures per minute.
Machine B produces 50 fishing lures per minute.
Let's call t time in minutes.
So we want to know how long it will take to produce 2100 fishing lures
We propose the following equation
[tex]75t + 50t = 2100[/tex]
Now we solve for t
[tex]125t = 2100[/tex]
[tex]t = 16.8\ min[/tex]
The answer is Option B
The gradient of the curve is given by the equation and a point on the curve is also given. Find the equation of the curve with working
Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
The equation of the curve is [tex]y=6x^2-5x+7$.[/tex]
From the given information, we know that the gradient of the curve is [tex]$dy/dx=6x-5[/tex]
This means that the equation of the curve is of the form [tex]$y=6x^2-5x+C$[/tex] for some constant C.
We can find the value of C by substituting the point (4,20) into the equation of the curve.
This gives us [tex]20=6\cdot4^2-5\cdot4+C[/tex] so C=7.
Therefore, the equation of the curve is [tex]y=6x^2-5x+7$.[/tex]
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If M=5x^2 and N=-3x^2-4x+5,then M-N equals
Answer:
8x² + 4x - 5
Step-by-step explanation:
M - N
= 5x² - (- 3x² - 4x + 5) ← distribute parenthesis by - 1
= 5x² + 3x² + 4x - 5 ← collect like terms
= 8x² + 4x - 5
Every day you travel 4 3/4 miles each way to get to school. How many miles do you travel all together to get to and from school during a typical school week? please include explanation, it would be very helpful
Answer:
47.5 miles
Step-by-step explanation:
So, every morning, you travel 4.75 miles to get to school... and another 4.75 miles in the afternoon to return.
So, each day, you travel a total of 9.5 miles (4.75 + 4.75) to go school and back.
On a typical school week, you'll go to school 5 times... so you'll need to travel a total of 47.5 miles (5 * 9.5).
What is the standard form of the equation of a parabola that opens up or down
the standard form of the equation of a parabola that opens up or down is (x - h)^2 = 4p(y - k)
Answer: y=ax^2+bx+c
Step-by-step explanation:
I need help with 4,8,12,16,18 I missed school so much last week and an am behind.
Answer:
4: 376 8: -708 12: -59 16: 0 18: -1,884
Step-by-step explanation:
I have really bad eyesight so, I hope I read all the numbers correctly. I hope you get caught up, it sucks to be behind in class.
Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers. The answer is follows:
4) -2632/-7 = 3768) -7080/10 = - 70812) 4956/-84 = -5916) 0/-600 = 018) (-3768/-6) (-3) = 18What exactly is the division formula?Dividend Divisor = Quotient + Remainder is the formula for dividing two numbers. The dividend is the number that is being divided in this case. The divisor is the number that divides the dividend (number) into equal parts. Divisibility tests or division rules in Math, as the name implies, assist in determining whether a number is divisible by another number without using the actual method of division.If one number is completely divisible by another, the quotient is a whole number and the remainder is zero.Therefore,
4) -2632/-7 = 376
Use the fraction rule.: [tex]$\frac{-a}{-b}=\frac{a}{b}$[/tex]
-2632/-7
Divide the numbers as follows:
2632/7 = 376
8) -7080/10 = - 708
12) 4956/-84 = -59
16) 0/-600 = 0
18) (-3768/-6) (-3) = 18
Within parentheses, compute (-3768 /-6) : -6
= -6(-3)
Divide and multiply (left to right) -6(-3 ) : 18
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Lizzie has 12 pounds of clay and wants to use all of it. She does not need to make all of the projects, and may make more than one of any project. Describe a plan for Lizzie to use 12 pounds of clay making projects from the chart. Show how you know she will use exactly 12 pounds of clay with this plan, with no clay left over.
Answer:
many answers,
Step-by-step explanation:
she could make 9 mugs, (3/4 x 9 = 12)
she could make 1 small bowl, 1 small plate, 2 large bowls and 2 mugs. (2.5 + 1.5 = 4, 3.25 x2 = 6.5 .75 x 2 = 1.5; 4+ 6.5= 10.5 10.5 + 1.5 = 12) etc
The length and width of a rectangle are consecutive even integers. The area of the rectangle is 80 square units. What are the length and width of the rectangle?
Answer:
10 and 8
Step-by-step explanation:
consecutive even numbers have a difference of 2 between them.
let the width be n then the length is n + 2
Area = n(n + 2) = 80, thus
n² + 2n = 80 ( subtract 80 from both sides )
n² + 2n - 80 = 0 ← in standard form
(n + 10)(n - 8) = 0 ← in factored form
Equate each factor to zero and solve for n
n + 10 = 0 ⇒ n = - 10
n - 8 = 0 ⇒ n = 8
But n > 0 ⇒ n = 8
width = n = 8 and length = n + 2 = 8 + 2 = 10
The area of the conference table in Mr. Nathan’s office must be no more that 175 ft^2. If the length of the table is 18 ft more that the width, x, which interval can be the possible widths ?
Answer:
(0, 7]
Step-by-step explanation:
Let's call the width W and the length L. The length is 18 feet more than the width, so:
L = W + 18
The area can be no more than 175, so:
A ≤ 175
LW ≤ 175
Since L = W + 18:
(W + 18) W ≤ 175
W² + 18W ≤ 175
W² + 18W - 175 ≤ 0
(W - 7) (W + 25) ≤ 0
-25 ≤ W ≤ 7
However, the width of the table can't be nonpositive, so:
0 < W ≤ 7
Or in interval notation, (0, 7].
A flower bed has the shape of a rectangle 27 feet long and 9 feet wide. What is the area in square yards?
The answer is 243 27×9 is 243 and area is length times width
ANSWER
243 square feet.
EXPLANATION
The rectangular flower bed has length,
l=27 ft
and width, w=9ft.
The area of a rectangle is
Area=length x width
Since the flower bed is rectangular, we use this formula to find its area.
[tex]Area = 27 \times 9 = 243 {ft}^{2} [/tex]
Therefore the area of the flower bed is 243 square feet.
If f(x)= 3x^2-4 and g(x)= 2x-6 what is g(f(2))?
Answer:
10
Step-by-step explanation:
g (3 (2)² - 4)
g (3 (4) - 4)
g (12 - 4)
g (8)
------
2 (8) - 6
16 - 6
10
To find the value of g(f(2)), we first compute f(2) and then substitute this output into the g(x) function. So, f(2)=8, and g(8)=10, which means that g(f(2))=10.
Explanation:The question is related to the concept of functions in mathematics. Specifically, it asks to compute the function g(f(2)), where f(x)= 3x^2-4 and g(x)= 2x-6.
First, we need to find the value of f(2). substitute x=2 in the function f(x). f(2)= 3*(2)^2 - 4 = 3*4 - 4 =12 - 4 = 8.
put this value into the function g(x), so find g(8). By substituting x=8 in g(x): g(8) = 2*8 - 6 = 16 - 6 = 10.
So, g(f(2)) = g(8) = 10.
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Which equation represents a line that passes through (–9, –3) and has a slope of –6?
Answer:
y = - 6x - 57
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 )
here m = - 6, thus
y = - 6x + c ← is the partial equation
To find c substitute (- 9, - 3) into the partial equation
- 3 = 54 + c ⇒ c = - 3 - 54 = - 57
y = - 6x - 57 ← equation of line
Answer:
y + 3 = –6(x + 9)
Step-by-step explanation: