Answer:
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Step-by-step explanation:
Let the total no. of adults who saw the move be x
Let the total no. of child who saw the move be y
Given that the total number of adults (a) and children (c) who saw a movie was 35
thus. x + y = 35
cost of ticket for 1 adult = $6
cost of ticket for 1*x adult = $6*x = $6x
cost of ticket for x adult = $6x
cost of ticket for 1 child = $1
cost of ticket for 1*y child = $1*y = $y
cost of ticket for y child = $y
Total cost for x adult and y child = $(6x+y) _______(2)
Given that he total money collected was $70
Thus, we have two equations
6x+y = 70 -------(1)
x + y = 35
y = 35 - x (using this value of y in equation 1 we have)
6x + 35 - x = 70
=> 5x = 70 -35 = 35
=> x = 35/5 = 7
The number of adults who saw a movie that day is 7
and
the pair of equations that can be solved to find the numbers is
6x+y = 70
x + y = 35
Select the ordered pair that is a solution
of this equation.
2x - 4y = 2
Click on the correct answer.
(-2,-3)
(-3,-2)
(-3,-6)
Step-by-step explanation:
You could do this in your head, but I'm going to type out everything.
Also, you're going to have to just test these out, there is no short cut for this sort of problem.
[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]
I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.
Answer:
(-3,-2)
If a fair die is rolled four times, which of the following is closest to the probability that at least one
roll will show the number 4?*
1) 17%
2) 67%
3) 52%
4) 36%
Answer:
Answer is 67%
Step-by-step explanation:
If you want to get the number four from 4 rolls the chances would be
1st roll = 1/6 (16.667%)
2nd roll = 2/6 (33.333%)
3rd roll = 3/6 (50.000%)
4th roll = 4/6 (66.667%)
So the answer is 67%
HELP EASY MATH PROBLEMS
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
Assuming Steven is paying, 51+45+2=98 cents.
Answer:
21. 98 cents
Gabby placed in 4th.
Step-by-step explanation:
oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo have a great day
Ronald throws a football at an intial velocity of 20 ft per sec. He releases the ball at a height of 5 feet.
1) What is the height of the football at time 2.25 seconds?
2) When does this football reach the highest point of its flight?
3) When does this football hit the ground?
Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.
Answer: Hank hike 36 miles in 9 h.
6 hours for 24 miles
9 hours for x miles
[tex]Hank_{rate} =24/6=4\;mi/h[/tex]
[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]
if 5800 people buy something that's 0.25 cents how much money would be made
Answer:
1450
Step-by-step explanation:
Take the amount of people times the dollar amount
5800 * .25 =1450
The local food pantry has 1, 600 cans of fruit. They give away 155 cans of fruit each week. Assuming no new donations are made,
how many cans of fruit will remain after 6 weeks?
The solution is
Answer:
670 cans of fruit
Step-by-step explanation:
sorry if this answer is wrong
Compare the given dimensions of four triangles. Which triangle is possible to construct?
side lengths of 6 m, 8 m, and 9 m
side lengths of 4 m, 5 m, and 12 m
side lengths of 2 m, 5 m, and 8 m
side lengths of 4 m, 7m, and 13 m
The triangle with side lengths of 6 m, 8 m, and 9 m is possible to construct.
What is the condition to construct a triangle with given dimensions?
In a triangle, the sum of the two smaller sides must be greater than the larger side of the triangle. If this condition satisfies, then the triangle could be possible to construct.
Given,
1. A triangle with side lengths of 6 m, 8 m, and 9 m. Here, (6 + 8) > 9. Therefore, the triangle is possible to construct.
2. A triangle with side lengths of 4 m, 5 m, and 12 m. Here, (4 + 5) < 12. Therefore, the triangle is not possible to construct.
3. A triangle with side lengths of 2 m, 5 m, and 8 m. Here, (2 + 5) < 8. Therefore, the triangle is not possible to construct.
4. A triangle with side lengths of 4 m, 7 m, and 13 m. Here, (4 + 7) < 13. Therefore, the triangle is not possible to construct.
Learn more about the condition to construct a triangle here: https://brainly.com/question/1299079
#Tag #SpJ2
Can someone help me please?
Answer:
8 degrees
Step-by-step explanation:
Hope this helps!
Answer:
8 Degrees
Have a nice day!
CN someone help me please
Answer:
B
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )
h = [tex]\sqrt{58}[/tex] → B
Answer:
It's probably B
Step-by-step explanation:
you use the pythagorean theorm
a^2+b^2=c^2
3^2+7^2=c^2
9+49+=c^2
[tex]\sqrt{58}[/tex]=[tex]\sqrt{c^2}[/tex]
[tex]\sqrt{58}\\[/tex]=c
Which statistic can not be determined from a box plot representing the scores on a math test?
the median score
the lowest score
the score that occurs most frequently
the highest score
Answer:
the score that occurs most frequently
Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.
Definition of Box plot:It displays the five-number summary of a set of data.
The five-number summary is
minimum scorefirst quartile median score third quartilemaximum scoreIn a box plot, we draw a box from the first quartile to the third quartile.
A vertical line goes through the box at the median.
Therefore, the score that occurs most frequently is the correct answer.
To know more about box plot, refer,
https://brainly.com/question/1523909
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Find the area of the following shapes:
Answer:The area is [tex]A=\frac{YZ+XW}{2}h=\frac{7+3}{2}(4)=20[/tex]
YZ = 5-2=3
XW = 8-1 = 7
h = 5-1=4 (height)
Answer:
20
Step-by-step explanation:
Split it up so it would be like this.
Small right triangle with dimensions of 1 x 4 = 2
Square 4 x 3 = 12
Other right triangle (the one on the right) 3 x 4 = 6
2 + 12 + 6 = 20
Hope this helps!
Need help with #12 pls explain
The simple interest on a principal amount, P, borrowed for Tyears at R% annual interest is given by the following
formula.
P.R.T
100
Which of the following describes the relationship between the variables of the simple interest formula?
OP depends on Rand T
OR depends on Pand T
I depends on P, R, and T
O R depends on /
Answer:
I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Step-by-step explanation:
We are given that The simple interest on a principal amount, P, borrowed for T years at R% annual interest is given by the following :
Formula: [tex]I = \frac{P \times T \times R}{100}[/tex]
So,[tex]I \propto P[/tex]
[tex]I \propto T[/tex]
[tex]I \propto R[/tex]
So, I depends on P , T and R
So, Option C is true .
Hence I depends on P, R, and T describes the relationship between the variables of the simple interest formula
Answer:
I depends on P, R, and T
Step-by-step explanation:
The Ecology Club was planning to take a field trip either to the seacoast or the mountains. The club president surveyed all of the members to determine the preferred trip. The results are displayed in the table below. Which statement is true about the results of the survey?
A. 20% of eighth-grade students preferred the seacoast
B. 32% of seventh-grade students preferred the mountains
C. 40% of students preferred the mountains
D. 48% of students preferred the seacoast
Answer:
The statement true about the results of the survey is:
D. 48% of students preferred the seacoast.Step-by-step explanation:
To identify if the D option is right, you only must use a simple rule of three, where you use the total of the members surveyed in the club (150), and the number of members that preferred the seacoast (72), by the last the operation must confirm that this value (72) is equal to the 48% (how says in the D option). First, you must establish the rule of three:
150 = 100 (100% of surveyed really, but is easier to understand in this form) 72 = XAnd operate:
X= (72 * 100) / 150 X = 48 (this means the 48%)How you can see, the value obtained in the simple rule of three is exactly the percentage of the D option, for this reason, this is the true statement.
find the nearest two positive coterminal angles and the nearest two negative coterminal angles for 420°
Answer:
Positive Coterminal Angles = 60°,780°
Negative Coterminal Angles = -300°, -660°
Step-by-step explanation:
Positive Coterminal Angles:
To find nearest two coterminal angle of 420°:
1) Subtract 360° from 420°:
420°- 360° = 60° (First Positive Coterminal Angle)
2)Add 360° to 420°:
420°+ 360° =780° (Second Positive Coterminal Angle)
Negative Coterminal angles:
To find nearest two negative coterminal angles of 420°. We' lave to take the value below 0.
1) Substract 360° from 420°
420°- 360° = 60°
Which is still a positive value.
2) Again Substract 360° from 60°
60°- 360° = -300° (First Negative Coterminal Angle)
3)Subtract 360° from -300°
-300°- 360° = -660° (Second Negative Coterminal Angle)
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answer:
29
Step-by-step explanation:
If you mean the exterior angle at the same vertex as the interior,
(9+k)+(5k-3)=180
9+k+5k-3=180
6k+6=180
6k=174
k=29 degrees
Answer:
29
Step-by-step explanation:
Find the area of the given triangle. Round your answer to the nearest tenth.
Answer:
x = 7.3
Step-by-step explanation:
We're going to use the formula for the area of a triangle:
Area = 1/2 x base x height
We can see that the height of the triangle is 10, but we don't know what the base length is.
We know that one of the angles is 54 °, so we're going to use SOH CAH TOA to work out the length of the base.
We're using the height and the base, which are the opposite (O) and adjacent (A) sides relative to our angle. According to SOH CAH TOA we'll use tan (T).
The equation is tan(Ф°) = O/A, where Ф is our angle (54°), O is our opposite side (10), and A is our adjacent side. Since we don't know what A is we'll use x.
tan (54°) = 10/x
Multiply both sides of the equation by x.
x tan (54°) = 10
Divide both sides of the equation by tan(54°).
x = 10/tan(54°)
Use your calculator to solve for x.
x = 7.265
To the nearest tenth, x = 7.3
In science class, Scott estimates the mass of a sample to be 109 grams. The actual mass of
the sample is 104 grams. Find the percent error of Scott's estimate. Round your answer to
the nearest tenth.
Answer:
Percent of error = 4.80% (Approx)
Step-by-step explanation:
Given:
Mass of sample = 109 gram
Actual mass of sample = 104 gram
Find:
Percent of error.
Computation:
Error = Mass of sample - Actual mass of sample
Error = 109 gram - 104 gram
Error =5 gram
Percent of error = (Error / Actual mass of sample)100
Percent of error = (5 / 104)100
Percent of error = 4.80% (Approx)
Tim has two spinners, spinner A and spinner B. Each spinner can only land on red or blue. The probability that spinner A will land on red is 0.5. The probability that spinner B will land on red is 0.6. Tim spins spinner A once and he spins spinner B once. He does this a number of times. The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue. I have and attached tree diagram
Answer:
56 times
Step-by-step explanation:
To find the probability of both spinners landing on red, we need to multiply the probability of the spinner A landing on red (0.5) by the probability of the spinner B landing on red (0.6):
P(redA and redB) = 0.5 * 0.6 = 0.3
Then, to find the probability of both landing on blue, we do the same:
P(blueA and blueB) = 0.5 * 0.4 = 0.2
Now, if the number of times that both spinners land on red is 84, to estimate the number of times that both land blue, we just need to multiply this number of times by the ratio of P(blueA and blueB) over P(redA and redB):
84 * 0.2 / 0.3 = 56 times
What is the value of the expression?
Negative 16 + 12
Answer:
-4
Step-by-step explanation:
-16 + 12
When the signs are different we subtract the smaller from the larger and take the sign of the larger
16-12 = 4
The larger number has a sign of negative
-4
Answer:
b
Step-by-step explanation:
ur mom
Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
Answer:
y=0.5x-4
Step-by-step explanation:
y+3=0.5(x-2)
y+3=0.5x-1
y=0.5x-4
Which phrase describes a model in science?
a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object
The correct answer is B. A structure that is used to represent a complex system
Explanation:
A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"
Answer:
B. a structure that is used to represent a complex system
Step-by-step explanation:
just did the quiz on ed
find f(3) for f(x)=3^x+3
Answer:
f(3) = 30
Step-by-step explanation:
f(3) = 3^(3) + 3
f(3) = 27 + 3
f(3) = 30
The graph of any nonvertical line can be represented by an equation in the form_________________________.
Answer:
Ax+By=C
Step-by-step explanation:
Answer:
an equation
Step-by-step explanation:
just did it
[tex] \sqrt[3\\ ]{27/125} [/tex]
enter as fraction
Factor 16 x2 + 24 x + 9.
(16 x + 3)( x + 3)
(4 x + 3)(4 x - 3)
(4 x + 3) 2
Answer:
Step-by-step explanation:
(4x + 3)(4x+3) is the factor
the third one is the solution
If a ball is dropped, how long does it take to fall 60.0 m?
Answer:
the ball takes 3.1944 sec
Step-by-step explanation:
Answer:
It takes 3.498 seconds.
Step-by-step explanation:
To calculate free fall you must use the formula: h=1/2gt^2
Which graph represents a proportional relationship?
Solve the following equation. Then place the correct number in the box provided. Leave answer in terms of a mixed
8x/7=8
X=?
Answer:
Step-by-step explanation:
[tex]\frac{8x}{7}=8[/tex]
Multiply both sides by 7
[tex]7*\frac{8x}{7}=8*7\\\\8x=8*7\\[/tex]
Divide both sides by 8
[tex]\frac{8x}{8}=\frac{8*7}{8}\\[/tex]
x = 7
Answer:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]\frac{8x}{7} = 8[/tex]
-Multiply both sides by the denominator, which is [tex]7[/tex]:
[tex]7\cdot \frac{8x}{7} = 8 \cdot 7[/tex]
[tex]8x = 56[/tex]
-Divide both sides by 8:
[tex]\frac{8x}{8} = \frac{56}{8}[/tex]
[tex]x = 7[/tex]
So, the value of [tex]x[/tex], would be [tex]x = 7[/tex].