Answer:
6x + 2y = 21.50 equation (i)
10x + 7y = 53.25 equation (ii)
Where x represent game and y represent ride.
Cost of 1 game = $2
Cost of 1 ride = $4.75
Step-by-step explanation:
To solve this question, we have to write two set of equations, each giving details of account of the two parties involved.
Let x represent games
Let y represent rides
So, with Arianna,
6x + 2y = 21.50.......equation (i)
With Alexa,
10x + 7y = 53.25 ........equation(ii)
We can solve this equations and go ahead to find the cost of ride and game using simultaneous equation
From equation (i)
6x + 2y = 21.50
Make x the subject of formula,
6x = 21.50 - 2y
x = (21.50 - 2y) / 6 ......equation (iii)
Put equation (iii) into equation (ii)
10x + 7y = 53.25
10 [(21.50 - 2y) / 6] + 7y = 53.25
(215 - 20y) / 6 + 7y = 53.25
(215 - 20y + 42y) / 6 = 53.25
215 + 22y = 53.25 × 6
215 + 22y = 319.5
22y = 319.5 - 215
22y = 104.5
y = 4.75
Put y = 4.75 in either equation (i) or (ii) to find x.
From equation (i)
6x + 2y = 21.50
6x + 2(4.75) = 21.50
6x + 9.5 = 21.50
6x = 21.50 - 9.5
6x = 12
X = 12 / 6
X = 2
Therefore the cost of 1 game is $2 and 1 ride is $4.75
The system of equations are, [tex]6x+2y=21.5[/tex] and [tex]10x+7y=53.25[/tex]
where cost of each game is x dollar and cost of each ride is y dollar.
Let us consider that cost of each game is x dollar and cost of each ride is y dollar.
Since, Arianna played 6 games and went on 2 rides and spent a total of $21.50.
[tex]6x+2y=21.5[/tex]
and Alexa played 10 games and went on 7 rides and spent a total of $53.25.
[tex]10x+7y=53.25[/tex]
Hence, the system of equations are, [tex]6x+2y=21.5[/tex] and [tex]10x+7y=53.25[/tex]
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Find the value of z. Use 3.14 for pie
Answer: 6
Step-by-step explanation: You can make this question into an algebraic expression. This is basically 3.14x(z^2)x15=1696.5. If you divide 1696.5 with 15, you get 3.14x Z x Z=113.1. If you divide 113.1/3.14, you get about 36, and the square root of 36 is equal to 6.
please help with this i-ready question I will award brainiest!
Answer:
If my calculations are correct i believe it is 42ft^2
Step-by-step explanation:
If you multiply the two sides of 6ft an 5ft then add that product to the product of 3ft and 4ft, then you will get your answer.
Rate fairly, my pleasure. :)
Answer:
84ft^2
Bottom rectangle: 5ft x 6ft = 30ft^2
The Rectangle above that: 4ft x 6ft = 24ft^2
The Rectangle at the top: 6ft x 3ft = 18ft^2
The 2 triangles: 4ft x 3ft = 12ft^2
30ft^2 + 24ft^2 + 18ft^2 + 12ft^2 = 84ft^2
Find the midpoint of (4,-1) and (2, -7).
So the right answer is (3,-4).
Look at the attached picture
Hope it will help you
Good luck on your assignment..
3. Find the volume of the prism.
5 yd
4 yd
2 yd
Answer:
[tex]40yd^3[/tex]
Step-by-step explanation:
[tex]V=whl=4*5*2=40yd^3[/tex]
If 5% of an amount equals 800,000, then what is that amount? Please I confused, can someone help me!
Answer:
the amount is 16,000,000
Step-by-step explanation:
first let that amount be Y for an example. so...
[tex]\frac{5}{100}*Y=800,000[/tex]
[tex]\frac{5Y}{100}=800,000[/tex]
[tex]5Y=800,000*100[/tex]
[tex]5Y=80,000,000 (then you both divide by 5 in both sides so that Y is left alone.)[/tex]
[tex]So Y=16,000,000[/tex]
so the amount you are looking for is 16,000,000
Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9}, y = {0, 2, 5, 8, 12, 13, 17, 19}, and Z = {z|z is an even integer less than 19}. Find X ∩ Y ∩ Z.
A. {2, 4, 6, 8}
B. {all whole number < 20}
C. {2, 8}
D. {2, 4, 6}
Write the nth term of the following sequence in terms of the first term of the sequence.
10, 20, 40, . . .
Answer:
10, 20, 40, 80, 160, 320, 640, 1280
Step-by-step explanation:
The number doubles each time
Answer:
The answer is 10(2)^(n-1).
Step-by-step explanation: I hope this helps you. (I'm on Odyssey.)
PQ is tangent to OR at point P. Find mZQ.
A. 17°
B. 27°
C. 63°
D. 73°
Answer:
A
Step-by-step explanation:
The angle between the tangent PQ and the radius RP at the point of contact P is 90°
The sum of the 3 angles in Δ PQR = 180° , thus
∠ Q = 180° - (90 + 73)° = 180° - 163° = 17° → A
Answer:
A.
Step-by-step explanation:
An ice chest contains 7 cans of apple juice, 8 cans of grape juice, 5 cans of orange juice, and 6 cans of mango juice. Suppose that you reach into the container and
randomly select three cans in succession. Find the probability of selecting three cans of orange juice.
Answer:
Im pretty sure its an 8% the total percent is 8.6% chance.
Step-by-step explanation:
Please I need help with this question.
No 22. Is very important.
Thank you.
Answer:
C. [tex]132m^3[/tex]
Step-by-step explanation:
Height = 4
Length = 6
Breadth = 7
Note : We were asked to find volume of the cuboid
Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.
Step 1
Find the area of the trapezium
Area of a trapezium = [tex]\frac{1}{2} (a+b)h[/tex]
[tex]\frac{1}{2} (4+7)*4[/tex]
[tex]\frac{1}{2} (11)4\\[/tex]
[tex]\frac{1}{2} *44\\= 22[/tex]
Step 2
Calculate the volume of the cuboid
Volume of a cuboid =length× breadth × height
In this case , the volume will be our length × Area of a trapezium
V= 6 × 22
V = [tex]132m^3[/tex]
Find the equation of the line. Use exact numbers.
Answer: [tex]y=4x-9[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
I know b is -9 because there's where the line crosses the y intersection.
[tex]y=mx-9[/tex]
To find ''m'', we can use 2 different methods. I'm going to use one that follows a formula. First, locate two points in the graph.
[tex](0,-9);(3,3)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{3-(-9)}{3-0}\\ m=\frac{3+9}{3}\\ m=\frac{12}{3}\\ m=4[/tex]
[tex]y=4x-9[/tex]
check all that apply
Answer:
same thing as A. and same thing as E. i think
What percent of 1/3 of 1000
Suppose 25 students are in your math class and 80% of them pass this unit test. How many pass the test?
Answer:
20
Step-by-step explanation:
We find answer 25 x 0.80 =20
We only x 100 when we looking for an increase
Answer:
二十
Step-by-step explanation:
The product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can
used to find the two numbers and solve it.
Answer:
The numbers are 4 and 6
Step-by-step explanation:
Let
x------> be the first positive even integer
x+2---> be the second positive even integer
we know that the solution is a positive value
The numbers are 4 and 6
Hope this helps!
stay safe
Find the equation of the circle with center at (-1, 3) and radius of 4.
a. (x-1)2 + ( + 3)2 = 4
c. (x - 1)2 + (y+ 3) = 16
b. (x + 1)2 + (0 - 3)2 = 4
d. (x + 1)2 + (y - 3)2 = 16
Please select the best answer from the choices provided
1 hundredth + 3 tenths = how many hundredths
Answer:1 hundredths
Step-by-step explanation:One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths. The conversion is the same no matter which unit you are using. You might need to convert from tenths to hundredths if you have one measure in tenths and another in hundredths and want to compare the two.
From the equation above;
1 hundredth + 3 tenths = 31 hundredths
According to the question;
We are required to evaluate; 1 hundredth + 3 tenths = how many hundredths.By place value;
1 hundredth = 1 × 0.01 = 0.013 tenths = 3 × 0.1 = 0.3The addition of both yields;
0.01 + 0.3 = 0.31In essence; since 0.01 = 1 hundredth Then 0.31 = (0.31 ×1)/0.01= 31 hundredths.Read more;
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Show me how to solve this, please.
[tex](2.7 * 10^{5} ) / (9 * 10^{6})[/tex]
Answer:
3 * 10 ^-2
Step-by-step explanation:
When we divide numbers in scientific notation first divide the number portion
2.7 /9 =.3
Then divide the exponents
10 ^5 / 10 ^6 = 10 ^ (5-6) = 10 ^ -1
.3 * 10 ^-1
We cannot leave the .3 since the first number has to be between 1 and less then 10
Move the decimal 1 place to the right which means subtract 1 from the exponent
3 * 10 ^-2
Answer:
0.03
Step-by-step explanation:
Hello there! Lets get started!
Now, with this problem as simple as it is, there are multiple ways we could solve it! If you have a scientific or graphing calculator, you could easily plug it in as it is! If you just have a four-function calculator, you could still solve it! Or, You could get advanced with log functions and such, but that is not needed at all for this function.
I am going to assume that you only have access to a four-function calculator, so lets begin!
First, we need to expand our numerators and denominators beyond scientific notation!
When dealing with positive scientific notation, you are moving your decimal to the right (I am not going to fully explain how to expand scientific notation, we are just going to move the decimal).
With 2.7 x [tex]10^{5}[/tex], we will move the decimal 5 places to the right!
With 9.0x [tex]10^{6}[/tex], we will move the decimal 6 places to the right!
This gives us 270000 and 9000000!
Now lets solve 270000 ÷ 9000000!
This gives us a final answer of .03!
Hope this helps! Remember, math is fun!
2
How many anagrams can you form with the word ESTADÍSTICA?
1,852,538
956,325
O2,494,800
35,198,000
879,100
Answer:
The number of anagrams of the word ESTADÍSTICA is 2,494,800
Step-by-step explanation:
Here we have ESTADÍSTICA which has 11 letters
2 As, 2 Ss, 2Ts, 2 Is 1 E, 1 D, and 1 C which gives 11 factorial possible ways out of which 2! × 2! × 2! × 2! are repetitions
Hence we have;
[tex]\frac{11!}{2! \times 2! \times 2! \times 2!} = 2494800[/tex]
Therefore, there are 2,494,800 anagrams of the word ESTADÍSTICA.
Answer:
They are 2,494,800 anagram in the word ESTADISTICA
Step-by-step explanation:
To find how many anagram that can be made from the word "ESTADISTICA" means to find how many possible ways the word can be arranged.
STEP 1: The word "ESTADISTICA" has 11 letter in it therefore it has 11!
STEP 2: They are some letter that occurs twice in the word "ESTADISTICA". Which are letter S, T, A, and I. The letters that occurs twice be represented as the denominator as 2!.
Therefore we have 2! × 2! × 2! × 2!
STEP3 : The number of anagram that can be formed with the word ESTADISTICA is
11! ÷ (2! ×2! × 2! × 2!)
11! = 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 39916800
(2! ×2! × 2! × 2!) = (2×1) × (2×1) × (2×1) × (2×1) = 16
Therefore;
39916800 ÷ 16 = 2494800
The word ESTADISTICA can form 2494800 anagrams. In other words it can be rearranged in 2494800 ways.
helppppppppppppppppppppppp
Answer:
B is the base and h is the height of the prism.
Step-by-step explanation:
This better not be for an exam.
V is the volume
B is the base
H is the height.
Only the option that says:
"B is the base and h is the height of the prism." is correct.
What is the reflection of point P(-1, 6) across the line y = x?
A) P(-6, 1)
B) P(-6, -1)
C) P(6, -1)
D) P(6, 1)
Answer:
C
Step-by-step explanation:
Under a reflection in the line y = x
a point (x, y ) → (y, x ) , thus
P(- 1, 6 ) → P'(6, - 1 ) → C
A square is cut into three equal rectangles. How does the area of the square compare to the sum of the areas of the three rectangles?
A) sum of the areas of the rectangles equals the area of the square
B) area of the square is 3 times the sum of the area of the rectangles
C) sum of the areas of the rectangles is 3 times the area of the square
D) sum of the areas of the rectangles is
Answer:
B. area of the square is 3 times the sum of the area of the rectangles
What is the perimeter of a triangle with vertices located at (-1,4), (2,7), and
(1,5), rounded to the nearest hundredth?
A. 7.89 units
B. 9.24 units
C. 8.71 units
D. 7.63 units
Answer:
the correct answer is C. 8.71
Which expression has a positive quotient
Answer:
the first one
Step-by-step explanation:
a negative times or divided by another negative gives you a positive
a positive times or divide by a negative gives you a negative
a positive times or divide by a positive gives you a positive
Answer:
A
Step-by-step explanation:
Two Negatives make a positive
Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?
Answer:
it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right
Step-by-step explanation:
In a high-school, 135 freshmen were interviewed.
Thirty-five of them took PE, 42 took BIO, 60 took ENG, 10 took PE and BIO, 15 took PE and ENG, 7 took BIO and ENG, and 5 took all three subjects.
e
What is the probability that a randomly-chosen student from this group did not take exactly two subjects?
Answer:
[tex]\dfrac{118}{135}[/tex]
Step-by-step explanation:
Total Number of Students =135
Number who took all three subjects=5
Number who took PE and BIO=10
Number who took PE and ENG=15
Number who took BIO and ENG=7
Therefore:
Number who took PE and BIO only=10-5=5Number who took PE and ENG only=15-5=10Number who took BIO and ENG only =7 -5=2Total Number of students who took exactly two subjects=5+10+2=17
Therefore:
Number of students who did not take exactly two subjects=135-17=118
The probability that a randomly-chosen student from this group did not take exactly two subjects
[tex]=\dfrac{\text{Number of students who did not take exactly two subjects}}{\text{Total Number of students }} \\=\dfrac{118}{135}[/tex]
Max biked along a trail for 3.5 miles, and then traveled 1.25 miles back toward his starting point, where he took a break. When Max took a break, how far was he from his starting point?
Answer: he will be 2.25 miles from the start point
Step-by-step explanation:
Answer:
2.25 miles
Step-by-step explanation:
3.5 - 1.25 = 2.25
Select all the statements that describe the expression 5+2x.
A
The expression represents 5 plus 2 plus x.
B
The expression represents 5 plus 2 times x.
C
The expression represents 5 plus x plus x.
D
The expression represents 5 plus x times x.
E
The expression represents the sum of 5 and 2x.
F
The expression represents the product of 5 and 2x.
Answer:
B, E
Step-by-step explanation:
Answer A is wrong: 5 + 2 + x
Answer C is wrong: 5 + x + x
Answer D is wrong: 5 + x*x
F is wrong, because a product is the result of multiplying.
The statements that describe the expression 5+2x is the E and A is correct.
We have given that,
Answer A is wrong: 5 + 2 + x
B ) The expression represents 5 plus 2 plus x.
5+2x=5+2x
This is a correct statement.
What is the expression?An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.
Answer C is wrong: 5 + x + x
Answer D is wrong: 5 + x*x
E The expression represents the sum of 5 and 2x.
5+2x=5+2x
This is the correct statement.
F is wrong because a product is a result of multiplying.
The statements that describe the expression 5+2x is the E and A is correct.
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Distribute: 4(x - 3)
Answer: 4x - 12
Step-by-step explanation: 4 times x is 4x, and 4 times negative 3 is -12, which will be written as "minus 12" in the expression. so 4x-12.
I will mark as brainliest but I need the answer for these 2 questions
1.6
2.24
Step-by-step explanation:
1.it's the same distance from the middle
2.64-12=52
76-52=24