Answers
One person rents for $6 plus the green fee for one person. Let g = the green fee for a person. The total cost, club rental plus green fee, was $76.
6 + g = 76
g = 70
Related Questions
Standard automobile license plates in a country display 1 numbers, followed by 2 letters, followed by 4 numbers. how many different standard plates are possible in this system? (assume repetitions of letters and numbers are allowed.)
Answers
there are 10 numbers ( 0-9)
there are 26 letters ( A-Z)
10 x 26 x 26 x 10 x 10 x 10 x 10 =67,600,000 possible combinations
Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Check all that apply.
The domain of the function is .
The range of the function is all real numbers.
The vertex of the function is .
The function has two x-intercepts.
The function is increasing over the interval (, ∞).
Answers
we have
[tex] f(x) = 2x^{2}- x -6 [/tex]
using a graph tool
see the attached figure
we know that
1) the domain of the function is all real numbers-------> interval (-∞,∞)
2) The range of the function is the interval [-6.125,∞)
3) The vertex of the function is the point (0.25,-6.125)
4) The function has two x-intercepts-----> ( -1.5,0) and (2,0)
5) The function is increasing over the interval (0.25,∞) and decreasing over the interval (-∞,0.25)
find a positive angle less than one rotation that is coterminal with 750 degrees
Answers
To solve this problem, all you have to do is to subtract 360 degrees (equivalent to 1 rotation) from the given angle until the answer is less than 360 degrees.
1st subtraction: 750 – 360 = 390 degrees
2nd subtraction: 390 – 360 = 30 degrees
Therefore the positive angle less than one rotation that is coterminal with 750 degrees is 30 degrees.
Which graph shows the solution set for -1.1x+ 6.4> -1.3
Answers
-1.1x > -7.7
x <7
answer
x is less than 7
The manager at a restaurant keeps track of the number of calzones and slices sold each day and the total money received. On Sunday, a total of 59 calzones and slices were sold, and the money collected was $456. If calzones are sold for $9 and slices are sold for $6, how many calzones and slices were sold?
Answers
c=number of calzones
s=number of slices
total of 59 so
c+s=59
total money was 456
9c+6s=456
we can divide both sides by 3 to simplify
3c+2s=152
use subsitution
c+s=59
minus s both sides
c=59-s
subsitute 59-s for c in other equation
3c+2s=152
3(59-s)+2s=152
177-3s+2s=152
177-s=152
minus 177 both sides
-s=-25
s=25
sub back
c=59-s
c=59-25
c=34
34 calzones
25 slices
Consider the following sets.
U = {all real number points on a number line}
A = {solutions to the inequality 3x + 4 ≥ 13}
B = {solutions to the inequality x + 3 ≤ 4}
For which values of x is A ⋃ B = Ø?
a 2 < x < 3
b 2 ≤ x ≤ 3
c x ≤ 2 and x ≥ 3
d x < 2 and x > 3
Answers
Answer:
A. 2 < x < 3
Step-by-step explanation:
The values of x which A ⋃ B = Ø is:
A. 2 < x < 3What is a Set?
This refers to the grouping of data which can be graphically represented on a Venn diagram.
With this in mind, we have a set of data which makes use of a general set that contains:
Therefore, the values of x to which A ⋃ B = Ø is:
2 < x < 3Read more about sets of data here:
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Find the sale price when the original price is $37.00 and the discount rate is 44%.
a.
$20.72
c.
$35.37
b.
$16.28
d.
$1.63
Please select the best answer from the choices provided
Answers
37(0.56)
$20.72
37-16.28=20.72 so answer A. Is ur answer
A rectangle has a length of ∛81 and a width of 3 2/3 inches. Find the area of the rectangle.
A.3 2/3 power inches squared
B.3 8/3 power inches squared
C.9 inches squared
D. 9 2/3 power inches squared
Answers
[tex] \sqrt[3]{81}= 81^{ \frac{1}{3} }= (3^{4}) ^{ \frac{1}{3} }= 3^{ \frac{4}{3} } [/tex]
The area of the rectangle = length*width
=[tex]3^{ \frac{4}{3} } * 3^{ \frac{2}{3} } =3^{(\frac{4}{3} +\frac{2}{3}) }=3^{ \frac{6}{3} }= 3^{2}=9 [/tex] (inches squared).
Answer: 9 inches squared
length = ∛81
width = [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] \sqrt[3]{81} [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 81^{ \frac{1}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] ( 3^{4}) ^{ \frac{1}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 3^{ \frac{4}{3} } [/tex] × [tex] 3^{ \frac{2}{3} } [/tex]
Area = [tex] 3^{ \frac{6}{3} } [/tex]
Area = [tex] 3^{2} [/tex]
Area = 9 inches squared
Line m passes through the point (4,1) and has a slope of -1/3. what is the equation of line m in standard form
Answers
an equation is :
y - 1 = (-1/3)(x-4)
y = (-1/3)x +4/3 +1
y = (-1/3)x +7/3
3y = -x +7
is the equation of line m in standard form is : x+3y = 7
A man travelled 3/8 of his journey by a rail 1/4 by a taxi 1/8 by and the remaining 2km on foot what is the length of his total journey?
Answers
Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,
3/8 + 1/4 + 1/8 + x = 1
The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,
x = 1 - 3/8 - 1/4 - 1/8
x = 1/4
That means that the travel by foot comprises 1/4 of the whole journey. Thus,
Let total distance be D.
1.4*D = 2 km
D = 8 km
Therefore, the man travelled a total of 8 kilometers.
PLEASE help me!!!!! and can you show me how you did it please!?!
Answers
3x + 8 = 7x -24
32 = 4x
x = 8
angle JHK = 52°
Adjacent parallelogram angles are supplementary. (add up to 180°)
So angle HMK = 180° - 52 -20
Angle HMK = 108°
P = 3^7 x 11^2 and Q = 3^4 x 7^3 x 11. Write as the product of prime factors the LCM of P and Q
Answers
The LCM of P and Q is found by taking the highest powers of the common prime factors from both numbers, which results in LCM(P, Q) = 37 x 73 x 112.
Explanation:To find the Least Common Multiple (LCM) of P and Q when given as products of prime factors, we look for the highest powers of the prime factors that appear in either P or Q. In this case:
P = 37 x 112Q = 34 x 73 x 11For prime factor 3, the highest power in P and Q is 37. For prime factor 11, the highest power is 112 (from P). Since prime factor 7 only appears in Q, we include it in its highest power, which is 73. Combining these, the LCM of P and Q as the product of prime factors is:
LCM(P, Q) = 37 x 73 x 112
A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property?
i. square
ii. rectangle
iii. parallelogram
iv. kite
v. rhombus
vi. trapezoid
A.
i, ii
B.
i, ii, iii
C.
i, ii, iii, iv
D.
i, ii, iii, v, vi
Answers
Final answer:
A square, rectangle, and certain cases of rhombuses and trapezoids can have two consecutive right angles, while typically a parallelogram and kite do not unless they are special cases of the rectangle or square respectively.
Explanation:
In the context of quadrilaterals with two consecutive right angles, it's important to recognize that certain quadrilaterals have this property by definition. A square and a rectangle both have four right angles, which means they certainly have at least two consecutive right angles.
A parallelogram typically does not have right angles, but a rectangle is a special type of parallelogram with right angles, so it fits this description. A kite generally does not have right angles unless specifically constructed to do so, which is not typical.
A rhombus can have right angles, making it a square, so it fits the criteria too. A trapezoid can also have a pair of consecutive right angles when it is a right trapezoid.
Therefore, the list of quadrilaterals that might have two consecutive right angles is not only the square and the rectangle but extends to include the rhombus and trapezoid as well.
Given these definitions, the correct answer to the question would be:
D. i, ii, iii, v, vi
Final answer:
The quadrilaterals that can have two consecutive angles measuring 90° each are squares, rectangles, and certain parallelograms (when they are squares or rectangles). Therefore, the correct answer to the question is B. This includes a square (i), a rectangle (ii), and some parallelograms (iii).
Explanation:
If a quadrilateral has two consecutive angles measuring 90° each, it could be any of the shapes that inherently contain right angles by definition. These shapes are a square, a rectangle, and certain types of parallelograms, specifically rectangles and squares. Both a square and a rectangle always have four right angles, which makes them valid answers. A rhombus or a general parallelogram may also have right angles, but only in specific cases, such as when a rhombus is also a square. Thus, kites and trapezoids do not necessarily fit this criterion as they do not always have consecutive right angles. Therefore, the correct answer is B, which includes a square, a rectangle, and some parallelograms.
A die is rolled 12 times find the probability of rolling exactly 12 ones
Answers
Answer:
[tex]P(X=12)=(12C12)(\frac{1}{6})^12 (1-\frac{1}{6})^{12-12}=4.59x10^{-10}[/tex]
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
We assume that the die is fair and the probability of obatin a one is 1/6.
Let X the random variable of interest, on this case we now that:
[tex]X \sim Binom(n=12, p=1/6)[/tex]
And we want to find this probability:
[tex] P(X=12)[/tex]
And if we replace we got:
[tex]P(X=12)=(12C12)(\frac{1}{6})^12 (1-\frac{1}{6})^{12-12}=4.59x10^{-10}[/tex]
write the following inequality in slope intercept form. -6+2y less than or equal to 42
Answers
m=slope, c=y-intercept.
Thus the slope-intercept form of our equation will be:
-6+2y≤42
adding 6 in both sides we get:
-6+6+2y≤42+6
2y≤6
dividing both sides by 2 we get:
(2y)/2≤6/2
y≤3
the answer is y≤3
Answer: The required slpe-intercept form of the given inequality is
[tex]y\leq 0\times x+24.[/tex]
Step-by-step explanation: We are given to write the following inequality in the slope-intercept form :
[tex]-6+2y\leq 42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We know that
the slope intercept form of a straight line with slope m and y-intercept c is given by
[tex]y=mx+c.[/tex]
Writing equation (i) in slope-intercept form, we have
[tex]-6+2y\leq 42\\\\\Rightarrow 2y\leq 42+6\\\\\Rightarrow 2y\leq 48\\\\\Rightarrow y\leq 24\\\\\Rightarrow y\leq 0\times x+24,[/tex]
where slope, m = 0 and y-intercept, c = 24.
Thus, the required slpe-intercept form of the given inequality is
[tex]y\leq 0\times x+24.[/tex]
What is #3 step by step?
Answers
(-9) - (-7) × [2 - (-9)]^2 + (-7)
-9 + 7 × [2 + 9]^2 - 7
- 9 + 7 * (11)^2 - 7
-9 + 7*121 - 7
-9 + 847 - 7
831
Calculate the hypotenuse
Answers
[tex] 10^{2} + 14^{2} = c^{2} [/tex]
[tex]100+196= c^{2} [/tex]
[tex]296= c^{2} [/tex]
[tex] \sqrt{296} = \sqrt{ c^{2} } [/tex]
[tex]17.205=c[/tex]
For what values of x and y are the triangles congruent?
a. x=-4. y=-4
b. x=-4, y=4
c. x=4, y=7
d. x=7, y=4
Answers
From the given choices above, it can be seen that only the choice in A will give us this relationship. Thus, the answer is A.
A test consists of 20 problems and students are told to answer any 15 of these questions. In how many different ways can they choose the 15 questions?
a. 15,504
b. 20,145
c. 23,670
d. 25,890
Answers
[tex]C(n, r)= \frac{n!}{(n-r)!r!} [/tex]
where a! is "a factorial", defined as a!=1*2*3*...*(a-1)*a
We are picking 15 objects (questions) out of 20, so substitute r=15 and n=20 in the formula:
[tex]C(20, 15)= \frac{20!}{(20-15)!15!}= \frac{20!}{15!*5!}= \frac{20*19*18*17*16*15!}{15!*5!}= [/tex]
[tex]\frac{20*19*18*17*16}{5!}= \frac{20*19*18*17*16}{5*4*3*2}= \frac{19*18*17*16}{3*2}=19*3*17*16=15,504[/tex]
Answer: A
find the area of a regular hexagon if a side is 20cm
Answers
Area = 1039.23 square units
Round answer as needed. See picture for equation
the equation of line AB is y = 1/5x -1 write an equation of a line perpendicular to line AB in slope intercept form that contains point (1, -2)
Answers
y-(-2) = -5(x-1)
y=-5x + 3
If 5x + x2>100 then x is not
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A contractor records all of the bedroom areas, in square feet, of a five-bedroom house as: 100, 100, 120, 120, 180 What is the variance?
Answers
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
The variance of the five bedroom house is 864.
The formula varianceσ²
[tex]=\frac{X^2}{N} -u^2[/tex]
To get the value of X²
= 100²+100²+120²+120²+180²
= 81200
The number is N = 5
u = mean
[tex]u = \frac{100+100+120+120+180}{5}[/tex]
u = 124
The values in the variance formula
[tex]\frac{81200}{5} -124^2[/tex]
16240-15376
= 864
The variance is 864
Read more on variance here:
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Write two ratios that are equivalent to 3:11
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Hopefully, this helps!
PLEASE HELP! A square piece of paper 144 mm on a side is folded in half along a diagonal. The result is a 45 -45-90 triangle. What is the length of the hypotenuse
A:140 mm
B:12 square root 2
C:280mm
D: 140 square root 2
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The number of baseball cards in Neil's collection is 80 percent of the number in Larry's collection. If Neil has 80 fewer baseball cards than Larry, how many do they have altogether
Answers
N=0.8L
....
N=L-80
Since N=N
0.8L=L-80 subtract 0.8L from both sides
0=0.2L-80 add 80 to both sides
80=0.2L divide both sides by 0.2
400=L, and since N=L-80
N=320
N+L=400+320
So they have 720 baseball cards altogether.
The problem involves setting up an equation based on the given situation to solve for the number of baseball cards Neil and Larry have. By solving the equation, you find that Larry has 400 cards and Neil has 320 cards. So, they have 720 baseball cards together.
Explanation:This is a problem of percentages and of algebra. First, you know that the number of cards Neil has is 80% of what Larry has. This can be set up as an algebraic equation, where N represents Neil’s cards and L represents Larry’s cards: N = 0.8L. You also know that Neil has 80 fewer cards than Larry, which provides a second equation: N = L - 80.
Because both expressions equal N, you can set them equal to each other to solve for L. This leads to 0.8L = L - 80. Solve this equation for L, and you get L = 400. Substituting this into the equation N = 0.8L, you find that N = 320. Therefore, Neil and Larry have 720 baseball cards altogether.
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Mr. Carr has to buy each of his 24 students a flash drive. Each flash drive costs $12. How much will he spend?
Answers
Answer:
Step-by-step explanation:
$228
What is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane?
Answers
Answer:
The answer is rotational symmetry.
Step-by-step explanation:
The Rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane. A shape is said to possess rotational symmetry when it still looks the same after we rotate it.
Among the contestants in a competition are 3636 women and 2525 men. if 5 winners are randomly? selected, find the probability that they are all? men? round to five decimal places.
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:) Answers? Thanks,❤
Answers
6) answer: 12?
8) answer: 8?
10+18+18-12=34
6. the answer is 12
10+10+19-12=27
8. the answer is 12
12-10+19+10=31