Answer: 10
Step-by-step explanation:
if u take -6 and add it to 9 and 7 u get 10
Ed and Suzie went out to eat at Pizzeria. The dinner check was $24.00. They left a tip of $4.32. What percent of the check was the tip?
Answer:
18%
Step-by-step explanation:
24-18% is 19.68 which means it took away $4.32.
Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
A) It is a prime number
B) It is a composite number
C) It is a whole number that is neither prime nor composite
D) It is not a whole number.
Answer: B
Step-by-step explanation: 3x3=9 1x9 equals 9 if a number has 2 or more sets, it's a composite number. It would not become prime because 9 does not have 1 set.
Answer:
Step-by-step explanation:
b
Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?
A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds
Answer:
Letter B
Step-by-step explanation:
Answer:
I belive the answer is B
Step-by-step explanation:
each square below represents one whole
Answer:
hello…
the colored part is 20%
Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12
Answer:
13/15 > 4/5 is a true stament.
Step-by-step explanation:
The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.
2 divided by 7/6 in simplest form
Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw
Step-by-step explanation:
you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees
How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.
Change 3.5 decimal into a percent
Like out of 100? Then it would be 3.5%
The answer you're looking for is: 350%
(Tell me if i'm wrong please)
PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?
Answer:
The final balance is $1,692.94.
The total compound interest is $392.94.
Step-by-step explanation:
1,300 x 0.045=___ x 6
In a coordinate plane, plot the points and sketch
angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)
Answer:
A.
Step-by-step explanation:
At a swimming pool there are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people. If a person is selected at random what is probability that person is either a lifeguard or manager
Step-by-step explanation:
The total number of people mentioned in this problem is 15. 15 will be the denominator for the probability in fraction form. The sum of the # of people that include lifeguards and managers will be the numerator.
Therefore, the probability that the person picked is either a manager or a lifeguard is 10/15 [because there are 2 managers and 8 lifeguards; 2 + 8 =10].
Fraction form of probability: 10/15
Decimal form: 0.6 repeated
Percent form: about 66.67%
The probability that person is either a lifeguard or manager is 2/3.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
There are 2 managers 8 lifeguards 3 concession stand clerks and 2 maintenance people.
Total = 2 + 8 + 3 + 2 = 15
So, P(lifeguard) = 8/15, P(Manager) = 2/15.
Then, P ( lifeguard or Manager)
= 8/15 + 2/15
= 10/15
= 2/3.
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help please will mark brainliest
Answer:
step 2
Step-by-step explanation:
sorry if im wrong. Please mark me brainleast
Henry buys a bag of 15 tangerines for $2.85.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Please help with this
Answer:
.19 cents per tangerine
Step-by-step explanation:
.19 x 15 = 2.85
Alabama has 140 state legislators representing its population of 4 million people. Pennsylvania has 12 million people. How many legislators should it have for representing that is proportional to Alabama?
A) Pennsylvania should have 1,680 legislators
B) Pennsylvania should have 560 legislators
C) Pennsylvania should have 140 legislators
D) Pennsylvania should have 420 legislators
Someone Please Help Me ( It’s Not A )
Answer:
420
140 x 4 = 420
Step-by-step explanation:
Jumping makes a frog so tired, each successive jump is 2/3 the distance of the previous hump. If a frog jumps 24 cm on its first jump, how far will the frog travel after four jumps?
Philip wants to know the weight of a book to within half a gram. His weighing scales only weigh to within 10 grammes.
What is the smallest number of identical copies of this book that Philip should weigh together to be able to do this?
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.
Answer:
2
Step-by-step explanation:
I think
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
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How many values are in the range 35 to 95?
A) 62
B) 61
C) 60
D) 59
Answer:
61
Step-by-step explanation:
==================================================
Work Shown:
a = smallest integer = 35
b = largest integer = 95
c = number of integers between 'a' and 'b' (including both endpoints)
c = b-a+1
c = 95-35+1
c = 61
The +1 is to count the starting value.
Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.
Solve for x.
6(x – 1) = 9(x + 2)
Answer: -8
Step-by-step explanation:
Distribute 6 to x and -1
6x-6=9(x+2)
Distribute 9 to x and 2
6x-6=9x+18
Add 6 to both sides
6x=9x+24
Subtract 9x from both sides
-3x=24
Divide -3 from both sides
X=-8
An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS, MS, and PhD. How many dummy variables must the analyst add to the regression model to account for this variable
Answer:
Three.
Step-by-step explanation:
An analyst wants to include Level of Education in a regression model.
Level of Education has 4 possible values - HS, BS, MS, PHD
How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?
Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.
If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;
M1 = 1 when LOE is HS but =0 when LOE is otherwise
M2 = 1 when LOE is BS but =0 when LOE is otherwise
M3 = 1 when LOE is MS but =0 when LOE is otherwise
So, when M1, M2, M3 are equal to 0, the PHD value is represented.
A line has a slope of -3/4 and passes through the point (-5, 4) which is the equation of the line?
A: y=-3/4x + 1/4
B: y= -3/4x + 4
C: Y= -3/4x - 2
D: y= -3/4x -1/4
Answer:
Correct choice: A
[tex]y=-3/4x+1/4[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
[tex]y-k=m(x-h)[/tex]
Where m is the slope and (h,k) is a point through which the line passes.
We are given the slope of a line m=-3/4 and the point (-5,4). Substituting:
[tex]y-4=-3/4(x+5)[/tex]
Operating:
[tex]y-4=-3/4x-15/4[/tex]
[tex]y=-3/4x-15/4+4[/tex]
[tex]\boxed{y=-3/4x+1/4}[/tex]
Correct choice: A
Answer:
It’s a no cap
Step-by-step explanation:
I took the test on edge
Write 1/8% as a decimal number Enter your number in the box
Answer:
it is 0.125
Step-by-step explanation:
......................
A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.
Answer:
$930.76
Step-by-step explanation:
So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.
The price for a new car, without sales tax, is
$18,900. The buyer must also pay a 5% state
sales tax. What is the cost of the car includ-
ing the sales tax?
Answer:
Step-by-step explanation:
18900 divided by 10 = 1890
1890 divided by 2 is 945
945 is 5 percent of 18900
18900 + 945 = 17955
Answer = 19845
What is the interquartile range of the following data set?3,8,14,19,22,29,33,37,43,49
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.
Answer: x = 2
If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.
Step-by-step explanation:
Initial calculations to find a starting value for w.
Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.
The length of the arc is half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd, a = πw/2
Three sides of a rectangle (presumably a square for the initial calculation) 3w
Initial equation: 3w + πw/2 = 8 Substitute 3.14 for π and solve for w
2(3w) + 2(3.14w/2) = 2(8) multiply all terms by 2 to eliminate denominator
6w + 3.14w = 16 combine like terms
9.14w = 16 divide both sides by 9.14
w ≈ 1.75
Calculate the area using this value:
Area of semicircle: πr²/2 r= 1.75/2
3.14(.875)²/2 ≈ 1.203
Area of rectangle 1.75 × 1.75 = 3.0625
Total Area with width 1.75 : 4.265 ft²
Increasing the width to 2
The length of the arc becomes 3.14 This is twice the area of the semicircle.
3.14/2 = 1.57
The height of the rectangle reduces to 1.43
1.43 × 2 = 2.86
Total area with width of 2 ft 2.86 + 1.57 = 4.43 ft²
So 2 ft seems to be the optimal width.
Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. ex = 3 − 2x, (0, 1) The equation ex = 3 − 2x is equivalent to the equation f(x) = ex − 3 + 2x = 0. f(x) is continuous on the interval [0, 1], f(0) = _____, and f(1) = _____. Since f(0) < 0 < f(1) , there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation ex = 3 − 2x, in the interval (0, 1)
Answer:
[tex]f(0)=-2\\f(1)=e-1[/tex]
Step-by-step explanation:
According to intermediate value theorem, if a function is continuous on an interval [tex][a,b][/tex], and if [tex]k[/tex] is any number between [tex]f(a)[/tex] and [tex]f(b)[/tex], then there exists a value, [tex]x=m[/tex], where [tex]a<m<b[/tex], such that [tex]f(m)=k[/tex]
In the given question,
Intermediate Value Theorem is used to show that there is a root of the given equation in the specified interval.
Here,
[tex]f(x)=e^x-3+2x[/tex]
Put [tex]x=0[/tex]
[tex]f(0)=e^0-3+2(0)=1-3+0=-2[/tex]
Put [tex]x=1[/tex]
[tex]f(1)=e^1-3+2(1)=e-3+2=e-1[/tex]
Factorise fully
-14x - 8
ease do quick, will mark brainiest!
Answer:
-2( 7x+4)
Step-by-step explanation:
-14x - 8
Factor out -2
-2*7x -2*4
-2( 7x+4)
Answer:
2(-7x -4)Step-by-step explanation:
[tex] - 14x - 8[/tex]
Write -8 as -4×2
[tex] - 14x + 2 \times 4[/tex]
Factor out common term : 2
[tex]2( - 7x - 4)[/tex]