x= child
2x = adult
6.20x +9.80(2x) =593.40
6.20x +19.6x=593.40
25.80x =593.40
x=593.40/25.80 = 23
23 childrens tickets were sold
In a test of a gender-selection technique, results consisted of 248 baby girls and 13 baby boys. based on this result, what is the probability of a girl born to a couple using this technique? does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?
Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5
A- open circle on 8, shading to left
B- closed circle on 8, shading to left
C- open circle on 8, shading to right
D- closer circle on 8, shading to right
Answer:
B- closed circle on 8, shading to left.
Step-by-step explanation:
We have been given an inequality [tex]x-3\leq 5[/tex]. We are asked to choose the correct description of the graph of the compound inequality.
Let us solve for x.
[tex]x-3+3\leq 5+3[/tex]
[tex]x\leq 8[/tex]
Since we have been given a less than or equal to sign, so we will have a solid dot at [tex]x=8[/tex].
Since the solutions for our given inequality are less than and equal to 8, so we will shade in all values of x that are to the left of 8.
Therefore, option B is the correct choice.
Krystal left the hardware store and traveled toward the recycling plant at an average speed of 61 mph. Scott left at the same time and traveled in the opposite direction with an average speed of 65 mph. Find the number of hours Scott needs to travel before they are 252 mi. Apart
Since Krystal and Scott is heading on opposite directions, therefore the distance between the two would be the sum of their distances from where they left, so:
total distance (d) = distance covered by Krystal (dK) + distance covered by Scott (dS)
d = dK + dS
We know that the formula for distance is:
distance = velocity * time
So,
d = vK * t + vS * t
where
vK = velocity of Krystal = 61 mph
vS = velocity of Scott = 65 mph
d = 252 miles
Therefore:
252 = 61 t + 65 t
126 t = 252
t = 2 hours
Therefore Scott needs to travel for 2 hours.
Samantha wants to use her savings of $1150 to buy shirts and watches for her family. the total price of the shirts she bought was $84. the watches cost $99 each. what is the maximum number of watches that samantha can buy with her savings? (1 point)
Answer:
Maximum number of watches Samantha can buy equals:
10
Step-by-step explanation:
Samantha wants to use her savings of $1150 to buy shirts and watches for her family.
The total price of the shirts she bought was $84.
The watches cost $99 each.
Let she bought x watches
then, 84+99x≤1150
subtracting by 84 on both sides, we get
99x≤1066
dividing both sides by 99, we get
x≤ 10.7676
Hence, maximum number of watches Samantha can buy equals:
10
The graph shows the location of Grant's, Hannah's, and Isobel's houses. Each unit on the graph represents 1 block. A coordinate plane graph is shown. Grants house is located at negative 4 comma 3. Hannahs house is located at 1 comma 3. Isobels house is located at 1 comma negative 4. If Grant walks from his house to Isobel's house, then on to Hannah's house along the path shown, how far will he have walked in blocks? Round your answer to the nearest tenth.
The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given coordinate has been drawn in the graph below,
The locus of the path from Grant's house to Isobel's house and then Hannah's house is making a right-angle triangle.
By Pythagoras' theorem,
Distance from Grant's house to Isobel's house ⇒
√(4² + 7²) = 8.06
The distance from Isobel's house to Hannah's house ⇒ 3 + | -4| = 7
Therefore, 8.06 + 7 = 15.06.
Hence "The total distance covered in the graph from Grant to Isobel's house and Isobel's house to Hannah's house is 15.06".
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Find the ratio of 12:7
Find the next term in the sequence:
1/3,2/9,3/27,...
A. 4/36
B. 4/54
C. 4/81
D. 4/109
simplify the expression r^-3s^5t^2/r^2st^-2
A club has 12 members. In how many ways can we select four members to go on a trip?
Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1? 1, –0.25, –1.5, –2.75, –4, . . . 1, 2.25, 3.5, 4.75, 6, . . . 4, 2.75, 1.5, 0.25, –1, . . . 4, 5.25, 6.5, 7.75, 8, . . .
Answer:
[tex]4,2.75,1.5,0.25......[/tex]
Step-by-step explanation:
f (1) = 4, [tex]f (n + 1) = f (n) - 1.25[/tex]
To get the sequence we start with n=1
Plug in n=1 in the formula
[tex]f (n + 1) = f (n) - 1.25[/tex]
[tex]f (1 + 1) = f (1) - 1.25[/tex]
[tex]f (2) = f (1) - 1.25[/tex], replace f(1)=4
[tex]f (2) = 4 - 1.25=2.75[/tex]
n=2
[tex]f (2 + 1) = f (2) - 1.25[/tex]
[tex]f (3) = f (2) - 1.25[/tex], replace f(2)=2.75
[tex]f (3) = 2.75 - 1.25=1.5[/tex]
n=3
[tex]f (3 + 1) = f (3) - 1.25[/tex]
[tex]f (4) = f (3) - 1.25[/tex], replace f(3)=1.5
[tex]f (4) = 1.5 - 1.25=0.25[/tex]
Sequence is [tex]4,2.75,1.5,0.25......[/tex]
Answer:
C.
4, 2.75, 1.5, 0.25, –1
Step-by-step explanation:
What is the value of the 30th percentile for the data set 6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581?
The 30th percentile for the given data set is 5758.8, calculated by arranging the data in ascending order and interpolating between the 3rd and 4th values.
To find the 30th percentile for the given data set, first arrange the data in ascending order and then calculate the rank of the 30th percentile. The formula to find the kth percentile for a data set with n observations is:
Rank = (k/100) * (n + 1)
For the given data set of 10 values, the 30th percentile rank would be:
Rank = (30/100) * (10 + 1) = 3.3
Since the rank is not a whole number, the 30th percentile lies between the 3rd and 4th values in the ordered set. After arranging the data:
5581
5700
5700
5896
5972
5993
6075
6274
6283
6381
The 3rd and 4th values are 5700 and 5896. We must interpolate to find the exact 30th percentile:
30th Percentile = 5700 + 0.3 * (5896 - 5700) = 5700 + 0.3 * 196 = 5700 + 58.8 = 5758.8
The 30th percentile is 5758.8.
Which of the following statements is true regarding the relationship between circles and triangles? A. There are many circles that can be circumscribed about a triangle. B. There are many triangles that can be inscribed in a given circle. C. There is only one unique triangle that can be inscribed in a given circle. D. There are many triangles that can be circumscribed about a given circle.
The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.
A circle can be characterized by its center's location and its radius's length.
How to make an inscribed circle in a triangle?There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some.
But usually, (for the angle bisector and perpendiculars), we do the following:
Divide one of the angles in half. Divide another angle in half.
The incenter, or point where they cross, is the inscribed circle's centre.
Construct a perpendicular from the triangle's centre point to one of its sides.
Draw an inscribed circle by placing the compass on the centre point and adjusting the length to where the perpendicular crosses the triangle.
The true statement regarding the relationship between circles and triangles is option B. There are many triangles that can be inscribed in a given circle.
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If sin 42° =2/3, then cos 48°=
One pound of feathers would be easier weighing than one pound of iron
The linear function y = 1.2x represents Alberto’s speed, y, in meters per minute, when his stride rate is x steps per minute. Alberto’s average stride rate during a 10-kilometer race is 180 steps per minute.
What is Alberto’s average speed during the race?
Answer:
What is Alberto’s average speed during the race?
216 meters per minute
Based on the linear model, which is the best prediction of how long it will take Alberto to finish the 10-kilometer race?
B. 46 minutes
An and ac are opposite rays.all of the following are true except
A = A,B,C are collinear
B = A,B,C are coplanar
C = AB = AC
D = A is between B and C
→It is given that, AB and AC are Opposite rays.
Means point ,A , B and C are collinear that is lying in the same line.
→Points are said to be Coplanar , if they lie in the same Plane.
Line segment Joining Points A, B and C lies on the same surface , so we can say that ,these points are Coplanar.
→As, AB and AC are rays , so point A will be in between C and B.
But, it can be sometimes true that,
→AB=AC
So, Incorrect Statement is:
AB=AC
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country during a year. During the period 1985-1999, the Gross Domestic Product of the United States grew about 3.2% per year, measured in 1996 dollars. In 1985, the GDP was $577 billion. I what year did/or will the GDP equal $1.6 trillion?
Solution of this equation
Find the domain of f of x equals negative square root of the quantity two x plus four, plus 3?
The function f(x) = 5x is an exponential function true or false
Where can the lines containing the altitudes of an obtuse triangle intersect.
Answer: The lines containing the altitudes of an obtuse triangle intersect at a point which lies outside the triangle called orthocenter.
Explanation:-
A line which passes through a vertex of the triangle and is perpendicular to the opposite side is called an altitude of the triangle.
The point where all three altitudes of the triangle intersect is called its orthocenter .
Orthocenter of acute triangle lies inside the triangle.Orthocenter of right triangle lies on the triangle.Orthocenter of obtuse triangle lies outside the triangle.Solve 4a+3=11 plz step by step
The value of solution of expression is, a = 2
We have to give that,
An expression to simplify,
4a + 3 = 11
Now, Simplify the expression by combining like terms as,
4a + 3 = 11
Subtract 3 on both sides,
4a + 3 - 3 = 11 - 3
4a = 8
Divide 4 into both sides,
a = 8/4
a = 2
Therefore, the solution is, a = 2
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Janelle is at the movie theater and has $20 to spend.
She spends $8 on a ticket and wants to buy some snacks. Each snack costs $4.99.
How many snacks, x, can Janelle buy?
Inequality: 20≥8 + 4.99x
Please answer, its urgent
After purchasing a movie ticket for $8, Janelle has $12 left to spend on snacks. Each snack costs $4.99, which means she can buy a maximum of 2 snacks.
Explanation:Janelle started with $20 and has already spent $8 on a ticket, leaving her with $20 - $8 = $12 for snacks. Each snack costs $4.99. To determine how many snacks, represented by x, Janelle can buy, we can set up the inequality 12 ≥ 4.99x. Dividing both sides of the inequality by the cost of one snack (4.99) gives us x ≤ ≈ 2.4. Since Janelle cannot buy a fraction of a snack, she can buy a maximum of 2 snacks with her remaining $12.
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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equation of this cubic polynomial function. Recall that the zeros are (2, 0), (3, 0), and (5, 0). What is the y-intercept of this graph?
The equation of the function is [tex]y = \frac 16(x -2)(x -3)(x -5)[/tex], and the y-intercept of the function is -5
A cubic function is represented as:
[tex]y = a(x -x_1)(x -x_2)(x -x_3)[/tex]
The zeros are (2, 0), (3, 0), and (5, 0).
This means that:
(x1, y) = (2, 0)
(x2, y) = (3, 0)
(x3,y) = (5, 0)
So, we have:
[tex]y = a(x -2)(x -3)(x -5)[/tex]
The graph passes through the point (0,-5).
So, we have:
[tex]-5 = a(0 -2)(0 -3)(0 -5)[/tex]
Evaluate the products
[tex]-5 = -30a[/tex]
Solve for a
[tex]a = \frac{5}{30}[/tex]
[tex]a = \frac{1}{6}[/tex]
Substitute 1/6 for a in [tex]y = a(x -2)(x -3)(x -5)[/tex]
[tex]y = \frac 16(x -2)(x -3)(x -5)[/tex]
The y-intercept of the function is when x = 0.
Hence, the y-intercept of the function is -5
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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0. How will the left side of the equation factor in step 5?
A. (2x + 32)2
B. (4x + 8)2
C. (4x + 16)2
Complete the square to solve [tex]2x^2 + 8x - 12 = 0[/tex].
Soooooooo, [tex](4x + 8)^2[/tex] is your answer. :)
Find the length of the missing side. The triangle is not drawn to scale.
A. 60
B. 34
C. 169
D. 13
The sum of 2 consecutive odd interferes is 92 find the numbers
92/2 = 46
46-1 =45
46+1 =47
45+47 = 92
numbers are 45 & 47
The ordered pairs below represent a relation between x and y. (-3,-3), (-2,0), (-1,3), (0,6), (1,9), (2,12).
Could this set of ordered pairs have been generated by a liner function?
A. No, because the y-values decrease then increase
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x,y) values you use to calculate it
C. No, because the distance between consecutive y-values is different than the distance between consecutive x-values
D. Yes, because the distance between x-values is inconstant
what is the reciprocal of 0.25
The product of twice a number and three three is the same as the difference of five five times the number and three fourths 3 4. find the number.