Answer:
Price of floor seat =$ 17 and
Price of stadium seats = $8.5
Step-by-step explanation:
Let x represents the cost of floor seats and y represents the cost of stadium seats.
Then, from the given condition, we have;
Total cost for selling floor seats = 62x and the total cost for stadium seats = 120y.
Since, a math club earn $2,080.
⇒ 62x + 120y = 2080 .....[1]
Also, it is given that the floor seats cost twice as much as Stadium seats.
⇒ x = 2y .....[2]
Substitute this equation [2] in [1] we get;
[tex]62(2y) + 120y = 2080[/tex]
Simplify:
124y + 120y =2080
Combine like terms;
244y =2080
Divide both sides by 144 we get;
[tex]y = \frac{2080}{144} = 8.5[/tex]
⇒y = $8.5
Substitute this in [2] we get x;
x = 2(8.5) = 17
i.e, x = $ 17
Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5
A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
A. -2x+4y=4
-3x+6y=6
B. 3x+y=12
-3x+6y=6
C.3x+6y=9
-2x-4y=4
D.2x-4y=6
-3x+6y=9
Answer:
C)3x+6y=9
-2x-4y=4
Step-by-step explanation:
A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.
Lets check with each option
We multiply the first equation by 2 and second equation by 3 and add it.
When both x and y terms gets cancelled then we can say there were no solutions.
A) -2x+4y=4
-3x+6y=6
Equation becomes
-4x + 8y = 8
-9x + 18y = 18
------------------------
-13x + 26y = 26
B) 3x+y=12
-3x+6y=6
Multiply first equation by 2 and second equation by 3
6x + 2y = 24
-9x + 18x = 18
------------------------
-3x + 20y = 42
C)3x+6y=9
-2x-4y=4
Multiply first equation by 2 and second equation by 3
6x + 12y = 18
-6x - 12y = 12
---------------------------
0 = 30
Both x and y terms becomes 0. Hence there is no solution for these system of equations.
Answer:
.3x+6y=9
-2x-4y=4
Step-by-step explanation:
college bridje
A dilation can be used to build a geometric pattern. The graph shows the first three terms of a pattern by applying the same dilation rule to the previous square, starting with the smallest square.
What will be the coordinates of the upper-right vertex of the next largest (fourth) square in the pattern?
(5, 5)
(7, 7)
(8, 8)
(16, 16)
Answer:
the right answer is (8, 8)
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
got it right on edg
−6 − (−2)
-4
-8
4
12
Answer:
-4
Step-by-step explanation:
When you subtract a negative number, it is like adding a positive.
-6 - (-2)
-6 + 2
-4
Answer:
I think the answer is -4
Step-by-step explanation:
First change the -(-2) to 2: Next you would add -6-2 to get -4(why you add is because you changed the subtraction sign to addition when you simplified the equation).
megans insurance company pays for 90% of her knee surgery after she pays an $800 deductible how much will Megan pay for surgery if it cost $14,600
Answer:
Megan will have to pay $2, 260 for surgery.
Step-by-step explanation:
1. Translate percent into decimal:
90% -> 0.9
2. Multiply (to find out how much the insurance company pays):
(0.9)(14, 600) = 13, 140
3. Subtract:
14, 600 - 13, 140 = 1, 460
4. Add (to find out how much Megan pays):
1, 460 + 800 = 2, 260
Answer:
Megan payed $2,260
Step-by-step explanation:
If 40% of a number is 80 what is 25% of that number?
Answer:
25% of 200 is 50
Step-by-step explanation
40% of a number is 80
.40 * n = 80
Divide each side by .4
.40 n/.4 = 80/.4
n = 200
The number is 200
Now lets find 25 percent of that number
.25 * 200 = 50
Which of the following items may be a good consideration in selecting a bank?
I. The bank sends a representative to the local mall to promote new applications.
II. Number of ATMs or bank branches near where you live, shop, work, or travel.
III. Knowledge of personal usage habits and needs
Answer:
II and III.
Step-by-step explanation:
Having branches near you is very important! Also knowing what you personally need from a bank is important
Answer:
3
Step-by-step explanation:
inline skates are on sale for 35% off the regular price
a. What fraction off is this discount?
b. The original price of one pair of inline skates is $124.99. What is
the sale price?
c. A tax of 5% is computed on the sale price. What is the total cost of the inline skates?
We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.
Explanation:This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.
For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.
Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.
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it takes Zoe 12.5 minutes to swim 20 laps around the pool. what is Zoes’s unit rate
Answer:
The answer is 1.6
Answer:
1.6 minutes/lap
Step-by-step explanation:
Do 20 divided by 12.5 to get 1.6.
how many times greater is 36 than 33
Answer:
1 1/11 times greater
Step-by-step explanation:
When we are looking for how man time greater, we know we have to divide
36/33
Each number can be divided by 3
12/11
We can change this to a mixed number
1 1/11 times greater
I need help and fast plz can someone help me
Answer:
Try D because a number times 10 to the power of anything is not that number!
Step-by-step explanation:
The polygons below are similar. Find the value of x. Polygons ABCD and EFGH are shown. AB equals 6. BC equals 8. CD equals 10. AD equals x. EF equals y. FG equals 6. GH equals z. HE equals 12. 4.5 7.5 12 16
Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.
Step-by-step explanation:
Since we have given that
ABCD and EFGH are two similar polygons.
Dimensions of ABCD are as follows :
AB = 6 units
BC = 8 units
AD = x units
CD = 10 units
Dimensions of EFGH are as follows :
EF = y
FG = 6 units
EH = 12 units
GH = z
Since they are similar:
[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]
First we take,
[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]
similarly,
[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]
Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.
Answer:
its not 7.5!!! i just took the test and its wrong!!
Your closet has 5 shirts for every 2 sweaters. Your closet has 30 shirts.How many sweaters are in your closet
What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?
A.0.75
B.-0.75
C.0.65
D.-0.65
Answer:
The correct answer Is B ! i did a study on this before
Step-by-step explanation:
Answer with Step-by-step explanation:
The formula for correlation coefficient is:
[tex]\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}[/tex]
x y x² y² xy
15 36 225 1296 540
13 22 169 484 286
12 6 144 36 72
11 20 121 400 220
∑ 51 84 659 2216 1118
Correlation coefficient=
[tex]\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75[/tex]
Hence, correct option is:
A. 0.75
Indicate in standard form the equation of the line passing through the given point and having the given slope
R(4,0),m=5
4 to the power of negative n equals 32 then what is n
n=-3
4^ -(-3)= 32
if you get the same bases == 4^-n= 4^3(=32)
so n =-3
in triangle LNM, what is the value of x?
If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.
Therefore we have the equations:
7x - 3 = 60 add 3 to both sides
7x = 63 divide both sides by 7
x = 9
----------------
11y + 5 = 60 subtract 5 from both sides
11y = 55 divide both sides by 11
y = 5
Check:
m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°
m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°
CORRECT :)
Answer: x = 9 and y = 5Book World receives 12 boxes of books .Each box contains 16 copies of the new best -seller ,Norton’s Last Laugh .How many copies of Norton’s Last Laugh does the store receive?
Answer:
192
Step-by-step explanation:
The number of books is 12 times 16.
12 * 16 =
16
x 12
----------
32
+ 16
----------
192
Answer: 192
Georgia and Courtney share sweet in the ratio 4:7. Courtney gets 24 sweets than Georgia. How many sweets do they both get?
Answer:
Georgia would get 32 sweets and Courtney would get 56 sweets.
Step-by-step explanation:
This question asks you to find equivalent fractions or ratio. They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7. They also tell us that Courtney gets 24 more sweets than Georgia. If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24). We then can use cross-multiplication and division to solve for the value of 'x'. In this case 4(x +24) = 7x. We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32. 32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.
Georgia and Courtney share sweets in the ratio 4:7, meaning for every 4 sweets Georgia gets, Courtney has 7. Given that Courtney gets 24 more sweets than Georgia, together they get a total of 88 sweets.
Explanation:This question is about the concept of ratio in mathematics. Georgia and Courtney share sweets in the ratio 4:7. This can also mean that for every 4 sweets Georgia gets, Courtney gets 7. But, the question mentions that Courtney gets 24 more sweets than Georgia.
Let's assume that Georgia gets 4x sweets and Courtney gets 7x sweets. So, 7x - 4x = 24, because Courtney gets 24 more sweets. Hence 3x equals to 24. Therefore, x = 24/3 = 8.
Now to find how many sweets each gets, we multiply their ratio parts by this value. For Georgia, we get: 4 * 8 = 32 sweets, and Courtney gets, 7 * 8 = 56 sweets. Both together get 32 + 56 = 88 sweets.
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what is a number n is at least 10
Answer: n≥10
Step-by-step explanation:
The symbol ≥ means “greater than or equal to.” So, n≥10 means “n is greater than or equal to 10,” which basically means “n is at least 10”.
Answer:
n≥10
iready
holp it help
what is the equation in point -slope form of a line that passes trough the points (3,-5) and (-8,4)
Answer:
The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)
Step-by-step explanation:
P1=(3,-5)=(x1,y1)→x1=3, y1=-5
P2=(-8,4)=(x2,y2)→x2=-8, y2=4
Equation in Point-Slope Form: y-y1=m(x-x1)
Slope: m=(y2-y1)/(x2-x1)
Replacing the known values:
m=[4-(-5)] / (-8-3)
m=(4+5) / (-11)
m=(9) / (-11)
m=-(9/11)
Equation in the point - slope form:
y-(-5) = -(9/11) (x-3)
y+5 = -(9/11) (x-3)
Mable’s cookie recipe calls for 3/4 of a cup of flour. Her mother’s recipe calls for 2/3 as much as Mable’s. How many cups of flour does her mother’s recipe require?
HELPP!!! PLEASE IM TIMED
Answer:
1/2
Step-by-step explanation:
What does it mean when it says leave it in terms of pi-3.14....
Hello,
When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π
- I . A -
In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.
Explanation:In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.
What is the answer to linear equation: 5 = 6 - 7c
Answer:
c = 1/7
Step-by-step explanation:
Here we have to solve the linear equation.
We need to find the value of c.
5 = 6 - 7c
Isolate the variable and constants
Add 7c on both sides, we get
7c + 5 = 6 - 7c + 7c
7c + 5 = 6
Subtract 5 from both sides, we get
7c + 5 - 5 = 6 - 5
7c = 1
Dividing both sides by 7, we get
c = 1/7
Thank you.
simplify (4^-2)^5 ???????
Answer:
Its 1/4^10
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
What is power?Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.
The given expression (4⁻²)⁵ can be simplified as shown below.
(4⁻²)⁵
= (1/4²)⁵
= (1/16)⁵
= 1⁵/16⁵
= 1 / 1048576
It can also be rewritten in the form of exponents as,
(4⁻²)⁵
= 4⁽⁻²ˣ⁵⁾
= 4⁻¹⁰
Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.
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The infinite geometric sum formula can be used to write 0.126126126...as a fraction. What is the numerator of this reduced fraction?
A. 7
B.14
C.42
D.126
Answer:
B.14Step-by-step explanation:
0.126126126... = x
1000x = 126.126126...1000x - x = 126999x = 126x = 126/999= 42/333= 14/ 111Numerator is 14
Correct answer is B.14
For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/hour greater than his original speed. How much time did the bicyclist spend on the entire trip? Let t be the time (in hours), and find t if: v=18
Answer:
t= 2.52 hours
Step-by-step explanation:
It is given that for first 30 km, the speed of bicyclist is v km/hour
time taken to cover first 30 km is given by
[tex]t_{1} =\frac{30}{v}[/tex] ( [tex]time=\frac{distance}{speed}[/tex])
for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed
so the speed to cover next 17 km = v+2
time taken to cover next 17 km is given by
[tex]t_{2} =\frac{17}{v+2}[/tex]
now total time t spent by the bicyclist to cover entire trip is given by
[tex]t=t_{1} +t_{2}[/tex]
[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]
now if v=18 , we have
[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]
now to add fractions we make the denominator same
Hence we will find the LCM of 18 and 20
LCM of 18 and 20 = 180
now we need to make both the denominator equal to 180
[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]
[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)
Answer:
2 hours 31 minutes
Step-by-step explanation:
Find missing length and reduce to fraction
26/24=x/16
26*2/3=52/3
Find the approximate length of segment GH on the graph.
A) 4 units
B) 5.8 units
C) 7.8 units
D) 8 units
Answer:
The correct option is B.
Step-by-step explanation:
The distance between two points is
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).
[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]
[tex]D=\sqrt{(5)^2+(3)^2}[/tex]
[tex]D=\sqrt{25+9}[/tex]
[tex]D=\sqrt{34}[/tex]
[tex]D=5.83[/tex]
[tex]D\approx 5.8[/tex]
The length of GH is 5.8 units. Therefore the correct option is B.
3xy^3 + 5- x- 2xy^3= xy^3 +11
Solve please
Answer:
Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11 USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign -x=11-5 subtract the numbers -x=6 final answer is X=-6
triangle IJK is congruent to triangle PQR. If the measure of angle I=3x+4 and the measure of angle P=72-x, then determine the value of x
Answer:
X = 17°
Step-by-step explanation:
Given that triangle Δ IJK ≅ triangle Δ PQR.
Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.
given angle ∠I = 3x + 4, and angle ∠P = 72 - x.
Now solving angle ∠I = angle ∠P.
3x + 4 = 72 - x
3x = 72 - x - 4
3x = 68 - x
3x + x = 68
4x = 68
x = 68/4 = 17 degrees.
Hence, the value of x is 17°.