Answer:
0.47
Step-by-step explanation:
Answer:
47/100
Step-by-step explanation:
0.47 Hope it helps (•‿•)✌️
a school is selling tickets to a play. on the first day they school sold 5 adult tickets and 10 student tickets for a total of $200. the school collected $105 on the second day by selling 2 adult tickets and 6 student tickets. what is the price of the adult ticket?
Answer:
Adult ticket is $15
Step-by-step explanation:
HELP PLEASE ITS EASY AND ITS DUE AT 1:20 AND ILL REWARD BRAINEST BTW IT IS NOT 7/8!!
Answer:
first option is right
Step-by-step explanation:
pls mark me in brainlieast
Answer:
\(\frac{7}{16}\)
Step-by-step explanation:
Multiply the two fractions :
\(\frac{7}{8} * \frac{1}{2}\)
(the * just illustrates the multiplication sign)
= \(\frac{7}{16}\)
( The word 'and' gives a hint that you must multiply the fractions )
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
For similar question on probability.
https://brainly.com/question/7965468
#SPJ8
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > 3x + 10
y is less than negative 3 over 4 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically
9514 1404 393
Answer:
A) The graph is the quadrant of the coordinate plane that lies between the two lines and to the left of the point (-2 14/15, 1 1/5)
B) no; it does not satisfy either inequality
Step-by-step explanation:
A) The boundary line defined by the first inequality is a dashed line with a slope of 3 and a y-intercept of 10. Shading is above the line (and to its left).
The boundary line defined by the second inequality is a dashed line with a slope of -3/4 and a y-intercept of -1. Shading is below the line (and to its left).
The two lines cross at the 2nd-quadrant point (-2 14/15, 1 1/5). The solution area is the area between the crossing lines and to the left of that point. Neither that point nor any point on either line is part of the solution area.
The solution area is the doubly-shaded area in the attached graph.
__
B) The first-quadrant point (8, 10) is not in the solution area, since the solution area is comprised of parts of quadrants 2 and 3 only.
We can see that (8, 10) will not satisfy either inequality:
10 > 3(8) +10 . . . . not true
10 < -3/4(8) -1 . . . . not true
A quadrilateral has 4 sides. One angle of a regular quadrilateral measures (6w+13) Determine the value of w. Round to the nearest whole number.
Ow=13
Ow=23
Ow=59
Ow=90
The value of w for the expression of angle 6w + 13 will be 13. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a quadrilateral has 4 sides. One angle of regular quadrilateral measures (6w+13).
The value of 'w' will be calculated as,
6w + 13 = 90
6w = 90 - 13
6w = 77
w = 12.83 or 13
Therefore, the value of w for the expression of angle 6w + 13 will be 13. The correct option is A.
To know more about an expression follow
https://brainly.com/question/24439725
#SPJ1
the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
for such more questions on thermometer
https://brainly.com/question/9765708
#SPJ8
A man starts with an initial velocity of 3.50 m/s and accelerates for a distance of 205
m over 28.7 s. What is the acceleration of the man?
Answer:
\( X= v_i t + \frac{1}{2}a t^2 \)
And from this equation we can solve for a like this:
\( 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2\)
And solving for a we got:
\( 104.55m = \frac{1}{2}a (28.7s)^2\)
\( a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2\)
Step-by-step explanation:
For this case we have the velocity , distance and time given:
\( v = 3.5 m/s, d=205m, t =28.7s\)
And we know from kinematics that he velocity can be expressed like this:
\( v_f = v_i +a t\)
We also know that the distance is given by:
\( X= v_i t + \frac{1}{2}a t^2 \)
And from this equation we can solve for a like this:
\( 205m = 3.5m/s *(28.7s) +\frac{1}{2}a (28.7s)^2\)
And solving for a we got:
\( 104.55m = \frac{1}{2}a (28.7s)^2\)
\( a = \frac{2*104.55m}{(28.7s)^2)}= 0.254 m/s^2\)
100 POINTS
A gazebo in the shape of a regular octagon has equal sides of 9 feet and an apothem of 10.9 feet.
a. If one side of a gazebo is open, and the other sides have a railing, find the cost of the railing if it sells for $7.90 per foot.
b. Find the area of the gazebo in square feet.
c. Find the cost of the gazebo's flooring if it costs $3 per square foot. Round to the nearest hundred dollars.
Answer:
a) $497.70
b) 392.4 square feet
c) $1,200
Step-by-step explanation:
Part (a)A regular octagon has 8 sides of equal length.
Given each side of the octagon measures 9 feet in length, and one side does not have a railing, the total length of the railing is 7 times the length of one side:
\(\textsf{Total length of railing}=\sf 7 \times 9\; ft=63\;ft\)
If the railing sells for $7.90 per foot, the total cost of the railing can be calculated by multiplying the total length by the cost per foot:
\(\textsf{Total cost of railing}=\sf 63\;ft \times \dfrac{\$7.90}{ft}=\$497.70\)
Therefore, the cost of the railing is $497.70.
\(\hrulefill\)
Part (b)To find the area of the regular octagonal gazebo, given the side length and apothem, we can use the area of a regular polygon formula:
\(\boxed{\begin{minipage}{6cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{n\;s\;a}{2}$\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the length of one side.\\ \phantom{ww}$\bullet$ $a$ is the apothem.\\\end{minipage}}\)
Substitute n = 8, s = 9, and a = 10.9 into the formula and solve for A:
\(\begin{aligned}\textsf{Area of the gazebo}&=\sf \dfrac{8 \times 9\:ft \times10.9\:ft}{2}\\\\&=\sf \dfrac{784.8\;ft^2}{2}\\\\&=\sf 392.4\; \sf ft^2\end{aligned}\)
Therefore, the area of the gazebo is 392.4 square feet.
\(\hrulefill\)
Part (c)To calculate the cost of the gazebo's flooring if it costs $3 square foot, multiply the area of the gazebo found in part (b) by the cost per square foot:
\(\begin{aligned}\textsf{Total cost of flooring}&=\sf 392.4\; ft^2 \times \dfrac{\$3}{ft^2}\\&=\sf \$1177.2\\&=\sf \$1200\; (nearest\;hundred\;dollars)\end{aligned}\)
Therefore, the cost of the gazebo's flooring to the nearest hundred dollars is $1,200.
a. To find the perimeter of the gazebo, we can use the formula P = 8s, where s is the length of one side. Substituting s = 9, we get:
P = 8s = 8(9) = 72 feet
Since one side is open, we only need to find the cost of railing for 7 sides. Multiplying the perimeter by 7, we get:
Cost = 7P($7.90/foot) = 7(72 feet)($7.90/foot) = $4,939.20
Therefore, the cost of the railing is $4,939.20.
b. To find the area of the gazebo, we can use the formula A = (1/2)ap, where a is the apothem and p is the perimeter. Substituting a = 10.9 and p = 72, we get:
A = (1/2)(10.9)(72) = 394.56 square feet
Therefore, the area of the gazebo is 394.56 square feet.
c. To find the cost of the flooring, we need to multiply the area by the cost per square foot. Substituting A = 394.56 and the cost per square foot as $3, we get:
Cost = A($3/square foot) = 394.56($3/square foot) = $1,183.68
Rounding to the nearest hundred dollars, the cost of the flooring is $1,184. Therefore, the cost of the gazebo's flooring is $1,184.
#SPJ1
According to the same report, the 28.5 million passengers in 2018 represented a 6.7% increase in cruise passengers since 2017. How many cruise passengers must there have been in 2017
Answer:
approximately 26.7 million
Step-by-step explanation:
Let x be the number of cruise passengers in 2017.
6.7% increase of x gives us 28.5 m cruise passengers in 2018.
Thus, 106.7 % of x = 28.5
\( \frac{106.7}{100} * x = 28.5 \)
\( \frac{106.7x}{100} = 28.5 \)
Multiply both sides by 100
\( \frac{106.7x}{100} * 100 = 28.5*100 \)
\( 106.7x = 2850 \)
Divide both sides by 106.7
\( \frac{106.7x}{106.7} = \frac{2850}{106.7} \)
\( x = 26.7 \) (approximated)
Number of passengers in 2017 must have been approximately 26.7 million
To demonstrate probabilities, a mathematics teacher had students draw cards from a bag which contained 26 red cards and
26 black cards. During class, the bag was dropped, and 5 red cards and 1 black card were lost.
Tell whether the loss of cards changes the probability of drawing a black card from the bag.
If so, was the probability increased or decreased? Support your answer by calculating the probability for each situation.
Answer:
decreased
Step-by-step explanation:
Evalute: 8 × 6 + ( 12 - 4 ) ÷ 2
Answer:
the answer is 52
Step-by-step explanation:
you have to keep simplyfing the problem until you get the answer
can i please have brainliest
Unit 2
1. In the following equations, the value of x
represents the price per pound of gravel and the
value of y represents the price per pound of
sand.
2y = 3x + 8
5y - 15x = -30
At what price for sand do the two lines
intersect?
A. $6.67
B.
$10.00
C. $12.33
D. $14.00
Answer:
A. $6.67
Step-by-step explanation:
a) 2y -3x + 8
a) y = - 3/2x + 8/2
a) y = - 3/2x + 4
b) 5y - 15x = -30
b) 5y = 15x - 30
b) y = 15/5x - 30/5
b) y = 3x - 6
3x - 6 = 3/2x + 4
3x -3/2x = 4+6
3/2x = 10
x = (10) / (3/2) = $6.67
Write (-4x^2ya^3)^2 as a monomial in standard form.
Answer:
\(16a^6x^4y^2\)
Step-by-step explanation:
To simplify this expression, use the exponent rule stating that when an exponent is put to an exponent, the exponent values are multiplied (e.g., \((x^2)^2 = x^{2 \cdot 2} = x^4\))
Using that rule, we get:
\((-4x^2ya^3)^2 = (-4)^2 \cdot x^{(2 \, \cdot \, 2)} \cdot y^2 \cdot a^{(3 \, \cdot \, 2)}\).
This can be simplified to
\(16 \cdot x^4 \cdot y^2 \cdot a^6\),
which can be written as:
\(16a^6x^4y^2\)
using the commutative property of multiplication.
This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
Ringani worked overtime to raise a total amount R30 000.00 to settle his student debt. If he has deposited R8 500.00 yearly into an account earning 7,04% interest per year compounded annually. How long, rounded to one decimal place did it took her to accumulate the total amount? A. 3.0 years B. 2.4 years C. 2.8 years D. 2.0 years
It took Ringani 2.8 years to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.
To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the final amount
P is the principal amount (initial deposit)
r is the interest rate (in decimal form)
n is the number of times the interest is compounded per year
t is the time in years
In this case, we have:
P = R8,500.00
A = R30,000.00
r = 7.04% = 0.0704 (in decimal form)
n = 1 (compounded annually)
We want to find the value of t.
Using the formula, we can rearrange it to solve for t:
t = (log(A/P)) / (n * log(1 + r/n))
Substituting the given values, we have:
t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))
Calculating this using a calculator, we find that t is approximately 2.8 years.
Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.
The correct answer choice is C. 2.8 years.
For more questions on Compounded .
https://brainly.com/question/31474686
#SPJ8
2. Find to the nearest foot the height of a vertical post if its shadow is 18 feet long when
the angle of elevation of the sun is 38º.
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)
3. ELLIPSE
CENTER = (-1,2)
MAJOR AUIS IS HORIZONTAL
AND HAS LENGTH OF 10
PASSS THROUGH (-1,5)
4. HYPERBOLA
VERTICES : (-2,-4)
(-2,6)
FOU:(-2,-5)
(-2,7)
Answer:
FFFFFFFFFFFFFFFFFFFFFFFF
reflection across the y-axis
H(4, -3), (3, 1), J5, -1)
Answer:(3,1)
Step-by-step explanation:
Daniel bought 32 tokens when he arrived at the festival. He won 9 more tokens for getting the highest score at the basketball contest, but lost 3 tokens at the ring toss game ?
Answer:
he would have 38
Step-by-step explanation:
cause 9 - 3 = 6 and 32 + 6 = 38.
What is the equation of the parabola ?
Answer:
D. y = 1/12x² + 2Step-by-step explanation:
As per graph we observe:
The y-intercept is 2The coefficient is positive as the graph opens upAccording to the observations, the equation is:
y = 1/12x² + 2Correct choice is D
b is y intercept,a is coefficient
Here a is 1/12 as every option contains this factor so don't calculate.
As parabola is opening upwards a is positive
and
y intercept is 2
So the equation is
y=1/12x²+2PLEASE HELP ASAP!!!!
The product is \($15x^3 - 26x^2 + 26x - 24$\) and the signs of the coefficients of the terms \(x^3$\) and x are different, so the two products are not equal.
How to do product of expression?
(a) To find the product of (3x-4) and (5x^2-2x+6), we can use the distributive property of multiplication:
\(&(3x-4)(5x^2-2x+6)\\&= 3x\cdot (5x^2-2x+6) - 4\cdot (5x^2-2x+6) \\&= 15x^3 - 6x^2 + 18x - 20x^2 + 8x - 24 \\&= \boxed{15x^3 - 26x^2 + 26x - 24}\end{align*}\)
Therefore, the product of (3x-4) and (5x²-2x+6) is \($15x^3 - 26x^2 + 26x - 24$\) in standard form.
(b) No, the products are not equal. We can see this by computing both products:
\((3x-4)(5x^2-2x+6) \\\\= 15x^3 - 26x^2 + 26x - 24 \\)
and
\(&(4-3x)(5x^2-2x+6) = -15x^3 + 28x^2 - 22x + 24\end{align*}\)
As we can see, the signs of the coefficients of the terms \(x^3$\) and x are different, so the two products are not equal.
To know more about multiplication visit;
brainly.com/question/5992872
#SPJ1
The machine is used to fill cola in bottles for sale. The mean volume of cola is 335ml with standard deviation of 5ml.
The probability that a bottle will be filled with less than 330ml of cola is 0.1587
The probability that a bottle will be filled with more than 340ml of cola is 0.1587
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
We will assume that the distribution of the volume of cola filled by the machine is normal.
Now,
We can use the mean and standard deviation.
X = the volume of cola filled by the machine.
X ~ N (335, 5)
Where N denotes a normal distribution.
This means,
The mean volume of cola filled by the machine is 335ml.
The standard deviation is 5ml.
Now,
Using this normal distribution.
We can find the probability of certain outcomes.
For example:
The probability that a bottle will be filled with less than 330ml of cola.
P(X < 330)
= P(Z < (330 - 335) / 5)
= P(Z < -1)
= 0.1587
Where Z is a standard normal random variable.
Similarly,
The probability that a bottle will be filled with more than 340ml of cola.
P(X > 340)
= P(Z > (340 - 335) / 5)
= P(Z > 1)
= 0.1587
Thus,
The probability that a bottle will be filled with less than 330ml of cola is 0.1587
The probability that a bottle will be filled with more than 340ml of cola is 0.1587
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ1
The complete question.
The machine is used to fill cola in bottles for sale. The mean volume of cola is 335ml with a standard deviation of 5ml.
The distribution of the volume of cola filled by the machine is normal.
Find the probability that a bottle will be filled with less than 330ml of cola and the probability that a bottle will be filled with more than 340ml of cola.
5. What is the solution to the inequality 5 - 2x > 9
Answer:
x < -2
Step-by-step explanation:
5 - 2x > 9
-2x > 9 - 5
-2x > 4
x < -2
I hope this helped!
The solution to the given inequality is x < -2.
Given an inequality.
We have to find the solution to the inequality.
Solution of the inequality is the value of x for which the inequality holds.
Consider the inequality,
5 - 2x > 9
We have to find the value of x such the inequality holds true.
Subtracting both sides by 5, we get,
-2x > 4
Dividing both sides of the inequality by -2, the inequality sign also changes.
x < -2
Hence the solution of the inequality is x < -2.
Learn more about Inequalities here :
https://brainly.com/question/20383699
#SPJ6
Find the volume of a right circular cone that has a height of 10.6 m and a base with a
diameter of 18.5 m. Round your answer to the nearest tenth of a cubic meter.
The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,
V = 949.76cm³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Height of cone = 10.6 m
Diameter of cone = 18.5 m
Hence, We can solve for radius as;
= 18.5/2
= 9.25
We know that;
Volume of a right circular cone is,
V = 1/3(πr²h)
Here, r = 9.25, h = 10.6, π = 3.14,
Hence, We get;
V = 1/3(3.14)(9.25)²(10.6)
V = 1/3(3.14)(85.5625)(10.6)
V = 1/3(2847.86225)
V = 949.287417
V = 949.76cm³
Thus, The volume of a right circular cone that has a height of 10.6 m and a base with a diameter of 18.5 m is,
V = 949.76cm³
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ2
1. You can buy six cans of root beer for $2.50. How many cans of root beer
can you buy for $10? What proportions will work to solve this problem?
Answer
24 cans
Step by Step explanation
10$ / 2.5$ = 4
6 * 4 = 24
y=2x when x = -11
f(x)=−3x+6 when x = 1 this one to
Answer:
y = 2x when x = -11
y = 2(-11)
y = -22
f(x) = -3x + 6 when x = 1
f(x) = -3(1) + 6
f(x) = -3 + 6
f(x) = 3
-TheUnknownScientist 72
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
#SPJ1
Write 13.13.13.13.13 in exponential form?
13.13.13.13.13 in exponential form is 13^5
How to rewrite the expression?The expression is given as:
13.13.13.13.13
The factors of the above expression are 13.
And each factor is grouped by product
There are five 13s in the expression.
So, we have:
13.13.13.13.13 = 13^5
Hence, 13.13.13.13.13 in exponential form is 13^5
Read more about exponential form at:
https://brainly.com/question/2456547
#SPJ1
Find the value that makes each equation true.
A. 110%n=11 n=
B.
(328 x 128) x k = 328 x (82 x 128)
K=
Answer:
A. \(n=100\)
B. \(k=0\)
Step-by-step explanation:
A. The equation "110% n = 11" can be solved as follows:
110% n = 11
To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).
(110% n) / 110% = 11 / 110%
n = 11 / 0.110
n = 100
So, the solution for n in the equation "110% n = 11" is n = 100.
B. The given equation is:
(328 x 128) x k = 328 x (82 x 128) x k
To solve for k, we can simplify the equation using the properties of multiplication.
Step 1: Perform the multiplications inside the parentheses:
41984 x k = 328 x 10576 x k
Step 2: Rearrange the equation by applying the associative property of multiplication:
41984 x k = 328 x (10576 x k)
Step 3: Divide both sides of the equation by 328:
(41984 x k) / 328 = 10576 x k
Step 4: Cancel out the common factor of k on the left-hand side:
(41984 / 328) x k = 10576 x k
Step 5: Simplify the left-hand side:
128 x k = 10576 x k
Step 6: Subtract 10576 x k from both sides of the equation to isolate k:
128 x k - 10576 x k = 0
Step 7: Factor out k on the left-hand side:
k x (128 - 10576) = 0
Step 8: Simplify further:
k x (-10448) = 0
Step 9: Divide both sides of the equation by (-10448):
k = 0
So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.