Answer:
number of youth admissions sold (x) = 74
number of adult admissions sold (y) = 32
Step-by-step explanation:
Let x = number of youth admissions
Let y = number of adult admissions
Given:
total number of admissions sold = 106⇒ x + y = 106
Given:
cost of youth admission = $12.50cost of adult admission = $17.50total amount collected = $1485⇒ 12.5x + 17.5y = 1485
Rewrite x + y = 106 to make y the subject:
⇒ y = 106 - x
Substitute y = 106 - x into 12.5x + 17.5y = 1485 and solve for x:
⇒ 12.5x + 17.5(106 - x) = 1485
⇒ 12.5x + 1855 - 17.5x = 1485
⇒ 5x = 370
⇒ x = 74
Substitute found value of x into y = 106 - x to find y:
⇒ y = 106 - 74
⇒ y = 32
A chocolate company makes chocolate malt balls that are 0.8 inches in diameter. The carton they are to be packed in is approximately a rectangular prism with the dimensions 4 inches by 3 inches by 7.5 inches. How many malt balls will fit in the
Given parameters:
Diameter of the malt balls = 0.8in
Dimensions of the prism = 4in x 3in x 7.5in
Unknown:
Number of malt balls that will fit in the carton = ?
Solution:
To solve this problem, we need to find the volume of each of the malt balls, and then the volume of the rectangular prism.
Volume of the malt balls = [tex]\frac{4}{3} \pi r^{3}[/tex]
This is because we assume that the balls have a spherical shape.
Where r is radius and π is a constant
Radius of the malt balls = [tex]\frac{0.8}{2}[/tex] = 0.4in
So, volume = [tex]\frac{4}{3} x 3.142 x 0.4^{3}[/tex] = 0.27in³
Volume of the rectangular prism = l x w x h
where l is the length
w is the width
h is the height
So the volume is 4 x 3 x 7.5 = 90in³
The number of malt balls that can be packed here = [tex]\frac{90}{0.27}[/tex] = 333 malt balls
Look for a pattern. Complete the last number.
3.6 million; 1,800 thousand, 9 hundred thousand; 450 thousand; _______ thousand
Answer:
225 thousand.
Step-by-step explanation:
You are dividing the number in half every time.
Answer:
See Below
Step-by-step explanation:
3,600,000 => 1,800,000 => 900,000 => 450,000 => ?
First, find the pattern.
How would you get from 3,600,000 to 1,800,000?
Lets look at this in a simpler format.
36 => 18
We know that if we divide 36 by 2 we get 18, so divide 3,600,000 by 2.
We get 1,800,000
Now, this might be the pattern. However, before we can say that, we need to test it out with the other #'s. So lets do that.
1,800,000 / 2 = 900,000
900,000 / 2 = 450,000
Great, so we see that this is the pattern: divide by two. Now that we know the pattern, we can continue to find the next number.
450,000 / 2 = ?
450,000 / 2 = 225,000
The next number in the pattern is 225 thousand.
Hope this helps! =D
Find the sum:
mZ1+mZ2 +mZ3
Answer:
180
Step-by-step explanation:
m(< 1) + m (< 2) + m (< 3) = 180
because sum of angles on same straight line = 180
what are the kinds of symetry?
I'm stuck on this horrible question
Answer:
Brainliest would be appreciated. This image has horizontal symmetry.
Step-by-step explanation:
If you put a horizontal line on the image, both sides will be symmetrical.
Answer:
Identity, reflection, inversion, proper rotation, and improper rotation
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 117 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?
Answer:297
Step-by-step explanation:
Solve for x and graph the solution on the number line below.
4x−2≤−26 or−6<4x−2
Answer:
- 4x – 2 < -6 and - 4x – 2 > -42 is; 1 < x > 10
i hope this work for you
and sory if im wrang
write as a single power of 7.
7¹⁰ ÷ 7 =
Answer:
7^9
Step-by-step explanation:
when dividing you take away powers.
Answer:
7 to the power of 9
Step-by-step explanation:
7 by it self is 7 to the power of 1, and when you are dividing a power to subtract the power on top, so 10-1=9 and the answer is 7 to the power of 9 or 7^9
Choose the equation that represents a line that passes through points (-6, 4) and (2.0).
Answer:
y=-1/2x-1
Step-by-step explanation:
4-0 = 4 = 1
-6-2 = -8 = -2
4=-6(-1/2)
4= 3
-4 -4
b= -1
y=mx+b
y=-1/2x-1
find the slope of the line below. enter your answer as a fraction or a decimal. use a slash mark (/) as the fraction bar if necessary.
Answer:
[tex]m = \frac{4}{3} = 1.3334[/tex]
Step-by-step explanation:
To find the slope of a line, all you have to do is determine 2 points that pass through this line;
for example, in this case,
(-4,-2) (4,4)
Use the equation;
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{4 - ( - 4)}{4 - ( - 2)} = \frac{4 + 4}{4 + 2} [/tex]
[tex]m = \frac{8}{6} = \frac{4}{3} [/tex]
This line passes through the point (1,0) and that is your y-intercept.
[tex]y = \frac{4}{3} x + 1[/tex]
The requried slope of the given line is m = 3/4.
What is the slope of the line?The slope of the line is defined as the ratio of the rise and run of the straight line on the curve is given as;
m = (y₂ - y₁) / (x₂ - x₁)
Here,
From the graph, we have (-4, -2) and (4, 4).
The slope of the line is given as:
m = (y₂ - y₁) / (x₂ - x₁)
m = (4+2)/(4+4)
m = 6/8
m = 3/4
Thus, the requried slope of the given line is m = 3/4.
Learn more about slopes here:
https://brainly.com/question/3605446
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PLease solve this sketch for me
Answer:
1, 4, 5, 8 equals to 135 ( you can get these answers by simply calculating: 180 - 45 = 135 ( which are angles in a straight line[8 & 5].) 4 = 135 (corresponding angle to 8) and you get 1 = 135 ( opposite angle of 4)
2, 3, 6 equals to 45 ( you can get these answers from observing. 6 is opposite 45 therefore it is = 45°. 2 = 45( corresponding angle). 3 = 45 (opposite angles of 2 and is also alternate to 6)
How many degrees does the minute hand of a clock travel in 1 minute? What angle does an hour hand travel in 1 min? HELP I WILL REWARD BRAINLIEST!! PLEASE
Answer:
minute hand:
in 60 minutes, the minute hand travels 360 degrees
60mins : 360°
1 : 6
so in 1 minute, the minute hand travels 6°
hour hand:
in 12hours the hour hand moves 360 degrees
in one hour, it moves 30 degrees
60min : 30°
6mins : 3°
1min : 3/6 = 0.5°
so in 1 minute, the hour hand travels 0.5°
hope this helps
brainliest please?
x
Answer:
6° 0.5°Step-by-step explanation:
The minute hand rotates full scale = 360° in 1 hour = 60 minutes
In one minute it travels:
360°/60 = 6°The hour hand rotates full scale = 360° in 12 hours = 12*60 minutes
In one minute it travels:
360°/(12*60) = 0.5°PLEASE SOMONE ANSWER ILL GIVE BRAINLIST!
In the solution to the equation shown, what property allows you to transform from one step to the next?
image below
Group of answer choices
Addition Property of Equality
Subtraction Property of Equality
Multiplicative Inverse Property
Multiplicative Identity Property
Hi!
Your answer is "Multiplicative Inverse Property".
We can see that it's multiplying both sides by [tex]\cfrac{5}{4}[/tex] to get [tex]x[/tex] by itself.
This is known as the "multiplicative inverse" because the numerator and the denominator are swapped.
When a number is multiplied by its multiplicative inverse, it equals 1.
-------------------------------------------------------------------------------------------------------------
For another example, see:
https://brainly.com/question/13715269
Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)
Step-by-step explanation:
if you are making double the number of batches, then yout would want to double the # of cups of beans to keep the same recipe.
Since you are doubling the ingredients, all the measurements would change. So yes, the amount of beans that occured most often would change by twice
9 1/6 multiplied 1 1/11.
Answer: 10
Step-by-step explanation:
9 1/6 x 1 1/11
55/6 x 12/11
cross reduce
5/1 x 2/1
10
[tex] \displaystyle \rm \int_{0}^{ \infty } \sum_{n = 0}^{ \infty } \frac{( - 1 {)}^{n} \: {x}^{2n + 1} }{ {2}^{n} \cdot n!} \sum_{n = 0}^{ \infty } \frac{ {x}^{2n} \: dx }{ {2}^{2n} \cdot(n! {)}^{2} } [/tex]
You can check that both series converge for all real x (say, using the ratio test).
Now,
[tex]\displaystyle e^x = \sum_{n=0}^\infty \frac{x^n}{n!} \implies x e^{-x^2/2} = \sum_{n=0}^\infty \frac{(-1)^n x^{2n+1}}{2^n n!}[/tex]
and if you have some familiarity with differential equations, you might recognize that the second series represents a Bessel function, namely
[tex]\displaystyle I_0(x) = \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2}[/tex]
but we won't bother making use of this.
In the integral, we interchange the integral with the sum
[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac1{2^{2n} (n!)^2} \int_0^\infty x^{2n+1} e^{-x^2/2} \, dx[/tex]
and consider the sequence of integrals,
[tex]J_n = \displaystyle \int_0^\infty x^{2n} x e^{-x^2/2} \, dx[/tex]
Integrating by parts with
[tex]u = x^{2n} \implies du = 2n x^{2n-1} \, dx[/tex]
[tex]dv = x e^{-x^2/2} \, dx \implies v = -e^{-x^2/2}[/tex]
Then the contribution of uv is 0, so
[tex]J_n = \displaystyle 2n \int_0^\infty x^{2(n-1)} x e^{-x^2/2} \, dx = 2n J_{n-1}[/tex]
We have
[tex]J_0 = \displaystyle \int_0^\infty x e^{-x^2/2} \, dx = 1[/tex]
so that
[tex]J_n = 2n J_{n-1} = 2n (2(n-1)) J_{n-2} = 2n (2(n-1)) (2(n-2)) J_{n-3}[/tex]
and so on; after k steps,
[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots (2(n-(k-1))) J_{n-k}[/tex]
so that when n = k,
[tex]J_n = 2n (2(n-1)) (2(n-2)) \cdots 2 J_0 = 2^n n![/tex]
Then the integral we want is
[tex]\displaystyle \int_0^\infty x e^{-x^2/2} \sum_{n=0}^\infty \frac{x^{2n}}{2^{2n} (n!)^2} \, dx = \sum_{n=0}^\infty \frac{2^n n!}{2^{2n} (n!)^2} = \sum_{n=0}^\infty \frac1{2^n n!}[/tex]
and knowing the series expansion for [tex]e^x[/tex], it follows that the integral has a value of [tex]e^{1/2} = \boxed{\sqrt{e}}[/tex]
(PLS HELP WILL GIVE BRAINLIEST AND PTS FOR FIRST ANSWER)
A={1, 9,11,14}
List all the subsets of this set.
Write the number of proper subsets of this set.
SHOW YOUR WORK
Answer:
Power Set = {{1,9,11,14},{1,11,14},{1,9,11},{1,9,14},{9,11,14},{1,11},{1,14},{1,9},{11,14},{9,11},{9,14},{1},{11},{14},{9},{}}
Step-by-step explanation:
The power set of a set S is the set of all subsets of S. The first subset will be set S itself. Next, find all subsets that contain one less element (in this case 3 elements). Continue with this process until finding all subsets including the empty set.
5(x-2)+3(2-x)
simplify
Answer:
=2x-4
Step-by-step explanation:
Answer:
The fully simplified form is2x-4
Step-by-step explanation:
Use Distributive property
5(x-2)=5x-10
3(2-x)=6-3x
5x-10+6-3x
Combine like terms
2x-4
Select the correct answer.
y – 6 = 4(x- 4)
Which of the following shows a graph of the equation above?
Answer:
D) Graph Z
Step-by-step explanation:
Convert from point-slope to slope-intercept form
[tex]y-6=4(x-4)\\\\y-6=4x-16\\\\y=4x-10[/tex]
This tells us that the line intersects the y-axis at (0,-10) and that our slope is 4. Therefore, the best choice given the options is D, graph Z.
The linear equation y = 4x - 10 represents the graph z. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 6 = 4(x - 4)
Convert the equation into slope-intercept form. Then we have
y - 6 = 4(x - 4)
y - 6 = 4x - 16
y = 4x - 16 + 6
y = 4x - 10
The slope of the line is 4 and the y-intercept of the line is negative 10. Then the equation represents the graph z, then option D is correct.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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A bookshelf is 3 feet long. Each book on the shelf is 3/4 inches wide. How many books will fit on the shelf? (Remember, there are 12 inches in a foot.)
Answer:
48
Step-by-step explanation:
3 feet is 36 inches. 3/4 of an inch is .75 inches. So you have a very simple equation of 36/.75=48
-4/9 divided by -1/3=
[tex] \dfrac{ \dfrac{ - 4}{9} }{ \dfrac{ - 1}{3} } = \dfrac{ 4}{9} \times \dfrac{3}{1 } [/tex]
[tex] = \dfrac{4}{3} [/tex]
Answer:
1 1/3
Step-by-step explanation:
Flip -1/3 to be -3/1
Multiply -4/9 to -3/1
-4/9 x -3/1 = 12/9
(The two negatives equal a positive)
Simplify.
4/3
Simplify some more.
1 3/9
Simplify even more.
1 1/3
Hope I helped :)
Please consider Brainliest :)
Can someone help me please <3
Step-by-step explanation:
4(2x-3):reason - Distributive property
8x-12=:reason - addition property of equality
8x=40: reason - division property of equality
x=5: reason - given
hope this answer helps u.
please mark it as the brainliest
PLEASE HELP ME!
Which is a solution of the inequality x + 2 <8?
Group of answer choices
z < 4
z < 6
z = 6
z < 10
Answer:
x < 6
Step-by-step explanation:
[tex]x+2 < 8\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x < 6\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:6\right)\end{bmatrix}[/tex]
[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}[/tex]
[tex]x+2-2 < 8-2[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x < 6[/tex]
~Learn with Lenvy~
Answer:
z < 6
Step-by-step explanation:
this is the correct answer
Question
Melissa is starting an IT business, and she wants to calculate her cost function. She estimates that to start the business she
will need to spend $2,000 on equipment, $1,000 on advertising, and $5 for every computer that she services. If x is the
number of computers that Melissa services, write down the cost function C(x) and use it to calculate the total cost if Melissa
services 50 computers.
Provide your answer below:
Answer:$3250
Step-by-step explanation:
The hotel in the example offer a double room for $20 more than a standard room, before tax. What is the total cost of a double room, including tax? Show your work.
After Assuming a tax percentage of 3.5%, the tax amount gotten is $0.7
and the total cost of a double room, including tax is $20.7
Tax CalculationGiven Data
Cost of double Room = $20Say the Tax is = 3.5%Amount of Tax paid = 3.5/100 * 20
= 0.035* 20
= $0.7
The total cost of a double room, including tax
= Cost of double + Amount of Tax
= 20+0.7
= $20.7
Learn more about Tax Calculation here:
https://brainly.com/question/25783927
Gwen has a cooler that holds 3 quarts. About how many liters does the cooler hold?
Answer:
one quart is about 0.95 liters, so its about 2.84 liters after dividing because you want to see how many times that 3 quarts can go into liters
Step-by-step explanation:
mr clean
Answer:
The cooler holds 2.85 liters.
Step-by-step explanation:
Convertion: 1 quart = 0.95 liters
3 × 0.95
= 2.85 Liters
Someone please help me ASAP
Find the area of the parallelogram
A.) 3,302 ft2
B.) 3,484 ft2
C.) 3,752 ft2
D.) 4,020 ft2
I NEED this answer in 5 MINUTES!
Answer:
3484 [tex]ft^{2}[/tex]
Step-by-step explanation:
a = bh
a = 67 x 52
a = 3484
Answer:
=> B.) 3,484 ft2
Step-by-step explanation:
=> The area of parallogram = base × height square units..
=> 67ft × 52ft
=> 3,484 ft²
Please Help! Fast! Multiple Choice! Like really fast lol! A little bit of work show please
Answer:
Its answer B!
Step-by-step explanation:
here a subtraction problem that has been solved incorrectly 41-27=28 choose the addition sentence that check this subtraction problem a 41-27=68 b 41+28=69 c 28+27=55 which one is the right one
a dies not add/subtract correctly and b and c do
If y varies directly as x, and y = 6 when x= 3, find y when x = 9.
y =
when x= 9.
[tex] \frac{6}{3} = \frac{y}{9} [/tex]
[tex]3y = 6 \times 9[/tex]
[tex]3y = 54[/tex]
[tex]y = \frac{54}{3} = 18[/tex]