Answer:
1000
Step-by-step explanation:
Okay so let's put T as TOTAL tickets
1800+1500+3T
To make it easier lets do this
3300+3T
total earnings is 5T+1300
So now the problem is this
3300+3T=5T+1300
Lets take away 1300 from both sides
3300-1300 = 2000
1300-1300 = 0
2000+3T=5T
Lets now take 3T from both sides
3T = 3T = 0
5T - 3T = 2T
now we have
2000=2T
Divide both sides by 2
1000=T
The team must sell 1000 tickets to break even
There are four steps for converting the equation x2 y2 12x 2y – 1 = 0 into standard form by completing the square. Complete the last step. Group the x terms together and the y terms together, and move the constant term to the other side of the equation. X² 12x y² 2y = 1 Determine (b ÷ 2)2 for the x and y terms. (12 ÷ 2)2 = 36 and (2 ÷ 2)2 = 1 Add the values to both sides of the equation. X2 12x 36 y2 2y 1 = 1 36 1 Write each trinomial as a binomial squared, and simplify the right side. (x )2 (y )2 =.
The equation of the circle in squared form is [tex]\rm (x + 6)^2 + (y + 1)^2 = 38[/tex]. Then the center of the circle is at (-6, -1).
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
[tex]\rm x^{2} + y^2 + 12x +2y - 1 = 0[/tex]
This can be written as
[tex]\rm x^{2} + y^2 + 12x +2y = 1[/tex]
Add both sides 36 and 1, then
[tex]\rm x^{2} + 12x + 36 + y^2 +2y +1 = 1 + 36 + 1[/tex]
Then we know that
[tex]\rm (a+b) ^2 = a^2 + b^2 + 2ab[/tex]
Then
[tex]\rm (x + 6)^2 + (y + 1)^2 = 38[/tex]
Thus, the center of the circle is at (-6, -1).
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Answer:
answer in picture
Step-by-step explanation:
Find the volume of this regular pyramid.
Answer:
25.46
Step-by-step explanation:
v = a^3 / 6√2
= 216/6√2 = 25.46
Please help quickly! :)
Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon.
Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.
A 50 in2
B 59 in2
C 85 in2
D 90 in2
Answer:
B) 59 in²
Step-by-step explanation:
From inspection of the diagram, we can see that the polygon is made up of one rectangle and two triangles.
Area of a rectangle = width × length
Given:
width = 4 inlength = 7 in⇒ area = 4 × 7 = 28 in²
Area of a triangle = 1/2 × base × height
Given:
base = 7 inheight = 6 in⇒ area = 1/2 × 7 × 6 = 21 in²
Area of a triangle = 1/2 × base × height
Given:
base = 4 inheight = 5 in⇒ area = 1/2 × 4 × 5 = 10 in²
Total area = 28 + 21 + 10 = 59 in²
A four-sided figure with a perimeter of 120 cm has a width which is 30cm less than twice it’s length. What kind of quadrilateral is this? Justify your answer.
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
Perimeter of a rectangleThe sum of the external side is equal to the perimeter. The perimeter of the shape is expressed as:
P = 2(l+w)
where:
P = 120cm
If the width is 30cm less than twice it’s length, then;
w = 2l + 30
Substitute
120 = 2(l + 2l + 30)
60 = 3l + 30
3l = 30
l = 10
Recall that:
w = 2l + 30
w = 2(10) + 30
w = 50cm
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
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How can I answer these other 2?
for the unit put ft or feet
for question 5, it is 4/8 and 1/2
A shipping container in the shape of a right rectangular prism has a length of 16 feet, a width of 8 feet, and a height of 4. 5 feet. The container is completely filled with contents that weigh, on average, 0. 50 pound per cubic foot. What is the weight, in pounds, of the contents in the container?.
The weight in pounds of the contents in the container is 288 pounds.
How to find volume of right rectangular prism?The volume of right rectangular prism is obtained by multiplying all 3 dimensional measures of that prism.
Given
A shipping container in the shape of a right rectangular prism has a length of 16 feet, a width of 8 feet, and a height of 4. 5 feet.
The container is completely filled with contents that weigh, on average, 0. 50 pound per cubic foot.
The volume of the right rectangular prism is given by
[tex]\rm Volume = 16\times 8 \times 4.5\\\\ Volume=576 \ ft^3[/tex]
Since the volume obtained is in cubic foot, thus there can be as many as 408 cubic foots inside the container.
Since one cubic foot content weighs around 0.50 pounds, thus,
[tex]\rm 1 \ cubic \ foot=0.50 \ pounds\\\\ 576 \ ft^3=0.50 \times 576 =288 \ pounds[/tex]
Hence, the weight in pounds of the contents in the container is 288 pounds.
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Inga is solving 2x2 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 6x 9) = 3 18 2(x2 6x) = –3 2(x2 6x) = 3 x 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 6x 9) = –3 9.
The quadratic equation 2x² + 12x – 3 = 0 can be written as 2(x²+12x+9)=3+18. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
Inga is solving the quadratic equation 2x² + 12x – 3 = 0
2x² + 12x – 3 = 0
2x² + 12x = 3
2x² + 12x + 18 = 3 + 18
2 (x² + 12x + 9) = 3 + 18
The quadratic equation 2x² + 12x – 3 = 0 can be written as 2 (x² + 12x + 9) = 3 + 18. Then the correct option is A.
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________ sampling has the advantage of a built-in assurance that the sample will accurately reflect the numerical composition of the various subgroups.
The type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.
What is Stratified Sampling?Stratified sampling is a sampling technique that involves dividing a population into strata. The strata are composed of each member's shared attributes or characteristics.
Thus, the type of sampling technique that has advantage of a built-in assurance of which the sample accurately reflects the numerical compositions of various strata is called: stratified sampling.
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The total bill for drinks and a pizza for three people is $14.40 before tax. The tax is 5%. What will be the amount of sales tax added to the bill
The group wants to leave a 15% tip on the $14.40 bill. What will be the amount of the tip
Answer:
Have to pay $15.12 but with the 15% tip, it's $16.56.
Step-by-step explanation:
To find how the amount to pay, you do y=a(b)^x.
In this case, it would be y=14.40(1.05)^1. You get the 1.05 from adding the 5% to 100 then turning it into a decimal (dividing by 100).
To figure out the amount needed to be paid with a 15% tip is the same idea. Give it a try.
How do I put (1352)⋅(1251)=1562652=117 into a fraction?
Answer:1.625=158
Step-by-step explanation:
Answer:
1.625=158
Showing the work
Rewrite the decimal number as a fraction with 1 in the denominator
1.625=1.6251
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000
1.6251×10001000=16251000
Find the Greatest Common Factor (GCF) of 1625 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125,
1625÷1251000÷125=138
Simplify the improper fraction,
=158
In conclusion,
1.625=158
During a snowstorm, Madison tracked the amount of snow on the ground. When the storm began, there were 5 inches of snow on the ground. For the first 5 hours of the storm, snow fell at a constant rate of 3 inches per hour. The storm then stopped for 6 hours and then started again at a constant rate of 1 inch per hour for the next 5 hours. As soon as the storm stopped again, the sun came out and melted the snow for the next 5 hours at a constant rate of 5 inches per hour. Make a graph showing the inches of snow on the ground over time using the data that Madison collected.
Answer:
19
Step-by-step explanation:
On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14). Which is the rate of change for the interval between 2 and 6 on the x-axis? –3 one-third one-third 3.
The rate of change for the interval between 2 and 6 on the x-axis is 3.
Given
On a coordinate plane, a parabola opens up.
Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).
What is the rate of change?A rate of change defines how one quantity changes in relation to another quantity.
The rate of change for the interval between 2 and 6 on the x-axis is;
[tex]\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3[/tex]
Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.
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Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of treated glass, aluminum, stainless steel, and copper. The specific heats of these substances are: Treated glass = 0. 75 J/g • °C Aluminum = 0. 90 J/g • °C Stainless steel = 0. 50 J/g • °C Copper = 0. 39 J/g • °C Based on the specific heat values, which sheet is going to warm up the quickest, and, therefore, bake the cookies the fastest?.
The sheet used by Mario and Patience which is going to warm up the quickest, and, therefore, bake the cookies the fastest is copper sheet.
What is specific heat?The specific heat of a substance is the amount of heat needed, to raise the temperature of the of one gram of substance by unit degree Celsius.
The specific heat capacity of the substance can be given as,
[tex]C=\dfrac{Q}{m\Delta T}[/tex]
Here, (m) is the mass of the substance, (Q) is heat energy and
is the change in temperature.
The above formula can be rewritten as,
[tex]{Q}={m\Delta T}C[/tex]
By this formula, we can say that the heat energy is directly proportional to the specific heat of the substance.
Thus the value of heat energy required to warm up the substance will be higher with the higher value of specific heat and result of it the substance require more time to warm up.
Here, the specific heats of these substances are:
Treated glass = 0. 75 J/g • °C
Aluminum = 0. 90 J/g • °C
Stainless steel = 0. 50 J/g • °C
Copper = 0. 39 J/g • °C
In the above data, the value of specific heat of copper is less than other three substances.
Hence, the sheet used by Mario and Patience which is going to warm up the quickest, and, therefore, bake the cookies the fastest is copper sheet.
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write as an inequality. someone plsss helppp
Answer:
12- x ≥ -5
Step-by-step explanation:
12 minus a number x is written as 12 - x
The greater than or equal to sign is ≥, and used next to -5
Your final answer should look like this:
12 - x ≥ -5
Hope this helps. :)
What are the x-intercept and y-intercept of this function F(x)=4x+12
Answer:
x-intercept(s): (−3,0)
y-intercept(s): (0,12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Amber had 6 cousins. Her friend Ashley has 2 fewer than 3 times as many cousins as Amber has. Which expression represents the number of cousins Ashley has?
Answer:
Cousins Amber has: 6
(Let no. of cousins Amber has be represented as x)
Cousins Ashley has: 3x - 2
(3 X 6)- 2
18-2
16
Answer: 3 x (6 - 2)
Hope this helped! :D
Classify the triangle by angles and sides and find its area .
Answer: 12
Step-by-step explanation:
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 28x 49 square feet, what is the length of one side of the room? (7x 2) feet (2x 7) feet (2x − 7) feet (7x − 2) feet.
The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.
What is area of square?Area of square is the square of its sides length. It can be given as,
[tex]A=a^2[/tex]
Here, [tex]a[/tex] is the length of the side of the square
Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,
[tex]A=(4x^2 +28x +49)\rm ft^2[/tex]
Find the factors of the above equation using the split the middle term method as,
[tex]A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2[/tex]
Compare it with the area of the square we get,
[tex]a=(2x+7)\rm ft[/tex]
Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.
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I NEED THIS NOW!!
triangle abc has angle measures as shown (look at image).
(a) using the triangle sum theorem, write the equation and solve for x.
(b) what is the value of < b? show your work.
Answer:
a) x = 6° b) m∠B = 50°
Explanation:
(a) total angle measure of a triangle is 180°
8x + 2 + 70° + 60° = 180°
8x + 132° = 180°
8x = 180° - 132°
8x = 48°
x = 6°
(b)
m∠B = 8x + 2
m∠B = 8(6) + 2°
m∠B = 48° + 2°
m∠B = 50°
Answer:
A. X is 6 and B. Angle is 50
Step-by-step explanation:
PART A
Triangle sum theorem explains that all angles in a triangle add up to 180
(8x + 2) + 70 + 60 = 180
8x= 180-70-60-2
8x= 48
X= 48/8 =6
PART B
Using the formula provided, replace the x with 6
So it'll be 8(6)+2 = 48+2 = 50
Determine the finance charge on a $7,200 car loan if monthly payments were $158.50 for 48 months.
$7,608
$408
$150
$3
PLAESE HURRY
Using proportions, it is found that the finance charge was of $408.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, monthly payments of $158.50 were made for 48 months, hence the total amount paid was of:
48 x $158.5 = $7,608.
The finance charge is the price financed subtracted by the fixed price, hence:
$7,608 - $7,200 = $408.
The finance charge was of $408.
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8397 divided by 27 WITH THE WAY TO DO IT
Answer:
the awser is 311
Step-by-step explanation:
look at the pic above
Prove the divisibility of each of the following numbers: 7^6 + 7^5 - 7^4 by 11
[tex]7^6 + 7^5 - 7^4\\\\7^4*7^2 + 7^4*7 - 7^4*1\\\\7^4(7^2 + 7 - 1)\\\\7^4(49 + 7 - 1)\\\\7^4(55)\\\\7^4(11*5)\\\\11*5*7^4\\\\11k\ \text{ where } k = 5*7^4\\\\[/tex]
The result we end up with is 11k which is a multiple of 11.
Therefore, this proves that [tex]7^6 + 7^5 - 7^4[/tex] is divisible by 11.
Answer:
7^4 * 5
You need to factor the answer.
Danielle needs to have repairs done on her house and is looking to hire a plumber and an electrician. The cost of the plumber for t hours is by Plt) = 115+25t. The cost of the electrician for t hours is given by E(t) = 55t +75. If she plans to hire them both for the same amount of tim function represents the total cost, c(t), for the plumber and the electrician as a function of time?
The total cost function is the sum of the two given functions, and this is equal to:
c(t) = 190 + 70*t
How to find the linear function for the total cost?We know that:
The plumber charges p(t) = 115 + 25*tThe electrician charges e(t) = 55*t + 75.If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:
c(t) = p(t) + e(t)
c(t) = (115 + 25*t) + (55*t + 75)
c(t) = (115 + 75) + (55*t + 25*t)
c(t) = 190 + 70*t
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7(2x+1/7)=14(3x-0.5)
pls and an explanation would help
answer:
[tex]\sf x = \frac{2}{7}[/tex]
solving steps:
[tex]\hookrightarrow \sf 7(2x+\frac{1}{7} )=14(3x-0.5)[/tex]
[tex]\hookrightarrow \sf 7(2x)+7(\frac{1}{7} )=14(3x)-14(0.5)[/tex]
[tex]\hookrightarrow \sf 14x + 1 = 42x - 7[/tex]
[tex]\hookrightarrow \sf 14x -42x = - 7-1[/tex]
[tex]\hookrightarrow \sf -28x = -8[/tex]
[tex]\hookrightarrow \sf x = \frac{-8}{-28}[/tex]
[tex]\hookrightarrow \sf x = \frac{2}{7}[/tex]
[tex]\\ \rm\hookrightarrow 7(2x+1/7)=14(3x-0.5)[/tex]
[tex]\\ \rm\hookrightarrow 2x+1/7=2(3x-0.5)[/tex]
[tex]\\ \rm\hookrightarrow 2x+1/7=6x-1[/tex]
[tex]\\ \rm\hookrightarrow 4x=1+1/7[/tex]
[tex]\\ \rm\hookrightarrow 4x=8/7[/tex]
[tex]\\ \rm\hookrightarrow x=8/28=2/7[/tex]
2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. The beautician charges a flat rate of $4, plus $0.75 per braid. She's saved $29 to get braids. How many braids can she get?
Answer:
33 braids
Step-by-step explanation:
What you want to do is first put in the equation. You put in 0.75x + 4=29.
Then you subtract 4 from 29 and get 25. Then divide 25 by 0.75 and you get the answer 33.3333333333. Round it to the nearest whole number and you get the final answer of 33 braids.
PLEASEEEEE HELPPP !!!!!!!!
JKL and KMN are shown below.
Which statement is true?
Answer:
SIMILAR
Step-by-step explanation:
The lines are parallel to each other, and one of the angles are 90 degrees. That is the only info that you get. You need to be able to make sure that another angle besides the 90 degrees is similar. The lines are parallel to each other, meaning that the other two angles should be equal in measure. See, if the angle in the second triangle gets bigger, the lines wouldn't be parallel, would they?
The circumference of a circle is 37. 68 ft. What is the radius of the circle?.
Answer:
r = 6 ft
Step-by-step explanation:
Find the probability for spinning a multiple of 3. Simplify your answerFind the probability for spinning a multiple of 3. Simplify your answer
Answer:
2/8 (Simplified to 1/4)
Step-by-step explanation:
There are 8 pieces to this, 2 of these 8 pieces are 6, and 3 which are both multiples of 3. So this gives you 2/8 but as you said you need it simplified so if you divide the top and bottom by 2 that gets you the answer of 1/4.
Write the equation of a sine or cosine function to describe the graph.
Please help me I WILL MARK YOU AS A BRILLIANT
Answer(s):
[tex]\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3 \\ y = -3sin\:(2\pi{x} \pm \pi) + 3 \\ y = 3sin\:2\pi{x} + 3[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3cos\:2\pi{x} + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{4}} = \frac{\frac{\pi}{2}}{2\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{1}{4}, 0],[/tex]from there to [tex]\displaystyle [\frac{3}{4}, 0],[/tex]they are obviously [tex]\displaystyle 1\:unit[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 1.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
YALL HELPPP What is the initial value of the function represented by this table?
Answer:
c-3
Step-by-step explanation:
Initial value of a function means that it is the y-intercept of the function
