Answer: 15, 3 and 6
Step-by-step explanation: The other leg is 2 × 3 = 6
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
The proportion relation between the number of games and the price is given by the proportionality constant k = 4.5
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the number of games be represented as x
Let the cost for the total number of games be y
And , the values of x = { 2 , 5 , 7 }
Now , the values of y = { 9.00 , 22.50 , 31.50 }
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
On simplifying , we get
9 = k ( 2 )
Divide by 2 on both sides , we get
k = 4.5
And , 22.50 = k ( 5 )
Divide by 2 on both sides , we get
k = 4.5
Therefore , the proportionality constant is k = 4.5
Hence , the proportion is y = 4.5x
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The complete question is :
At a flea market, used computer games are sold at the prices shown in the table below.
Number of Games Price ($)
2 9.00
5 22.50
7 31.50
Do the Number of the games and price form a proportional relationship? choose correct response
1. Yes there is a constant of proportionality of 11.25.
2. Yes there is a constant of proportionality of 4.50.
3. No there is not a constant of proportionality.
4. No the Slope is 4.5
Which set of angle measures can be the angle measures of a triangle?
A 31°, 60°, 90°
B 18.4°, 32.6°, 129°
C 125°, 25°, 40°
D 10°, 120°, 40°
Answer:
B.
Step-by-step explanation:
it's the only one that all the angles add up to 180
A researcher wants to know if eating a mint affects whether people can distinguish between two popular orange juice brands. To conduct an experiment, the researcher places 50 participants in two groups. The treatment group will eat a mint before drinking a juice, while the control group will not eat a mint before drinking. Then the participants will guess the juice brand. To select the groups, the researcher labels each participant with a number and selects slips of paper labeled 1–50 from a bowl at random. The first 25 participants whose numbers are selected will be the treatment group, while the other 25 will be the control group.
The characteristics of the two groups
A should be roughly equivalent because both groups will have 25 participants.
B should be roughly equivalent because the participants were labeled and then randomly selected for the groups.
C might not be roughly equivalent because one group may contain people that drink more juice than the other group.
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.
Answer:
D might not be roughly equivalent because one group may contain more people that prefer a particular juice brand.Step-by-step explanation:
I hope it helps :)
Answer:
B. should be roughly equivalent because the participants were labeled and then randomly selected for the groups
Step-by-step explanation:
Just passed the quiz
It costs $150 to rent a party room at Pizza-n-Games, plus $6 per person for pizza and $5 per person for game tickets. The expression showed gives the total cost for n people.
150+6n+5n
Evaluate the expression to find the cost for a party of 15 people
Answer:
$315
Step-by-step explanation:
has anyone taken the math kangaroo competition
and if so how should i prep theres not much material on it im currently in level 7-8
What is the missing reason in steps 7 and 8 of the proof?
Given: ∆ABC with AB = c, BC = a, AC = b
Prove: = =
Statement Reason
1. Draw a line through B that is perpendicular to and label the point of intersection with as D. construction
2. In ∆ABD, BD = c sin A definition of sine in right triangle
3. In ∆CBD, BD = a sin C definition of sine in right triangle
4. c sin A = a sin C Substitution Property of Equality
5. = dividing throughout by sin A
sin C
6. Draw a line through A that is perpendicular to and label the point of intersection with as E. construction
7. In ∆BAE, AE = c sin B
8. In ∆CAE, AE = b sin C
9. c sin B = b sin C Substitution Property of Equality
10. = dividing throughout by sin B
sin C
11. = = Transitive Property of Equality
A.
definition of cosine in right triangle
B.
definition of sine in right triangle
C.
definition of tangent in right triangle
D.
Corresponding sides of congruent triangles are equal.
E.
definition of equilateral triangle
Answer:
Step-by-step explanation:
The answer is option B) def of sine in right triangle
Divide the polynomials: x^2+2/x-1
Answer:
Solution:
x³ - x + 2 / x
...........
Pls help I’ll give brainliest
Answer:
A. 4 + 4.5 + 3.5 + 3m = 30
Explanation:
Josies's goal = 30 miles each week
She already ran 3 days of the week which leaves us 4 more days
7 - 3 = 4
She said she wanted to have a day off to rest
4 - 1 = 3
which brings us to 3 days left to finish her goal
3m (where 'm' is the miles she'll be running each day)
What is the value of x? Round to the nearest tenths place.
Answer:
39^2-15^2=1296
/
put this number in a square root and it will give you=36
×=36
Step-by-step explanation:
hypotenuse minus short side it gives another short side
An accountant rents three notebook computers for temporary workers
to use during tax season. The total rental amount is $2,750. The
accountant makes monthly payments of $1,100.
How many payments does the accountant make?
How much interest does the accountant pay on the rental?
Answer:
possibly $1
Step-by-step explanation:
don’t know how to explain but I hope this helps
Answer:
4454
Step-by-step explanation:
Can someone explain this
Answer:
ummm if yu foil yu get
(4x+2)(x+1)
Step-by-step explanation:
ion kno if das rii
Please help me I don’t understand this stuff lol
A) 5/3
B) 5/4
C)10/3
D)4/3
Answer:
The answer is 4/3. I hope it's corect and this helps.
Step-by-step explanation:
Answer:
I dunno man
Step-by-step explanation:
Which of the following numbers makes the inequality -2
A-5
B
-2
C 5
D 6
E
-3
6
Evie's test score is greater than 65, but no more than 90. An inequality that represen
this is
Answer:
opposite word of disperse
HELPP ME!! Ya'll brainly has answers for this question but they're all different answers!! I'm so unsure! One of the offices at the company was being repainted. Riley’s mother challenged him to figure out how many quarts of paint would be needed. The office is 16 ft long and 12 ft wide, and the height of each wall is 10 ft. The office floor, ceiling, and door are not being painted, and there are no windows in this office. The door opening measures 3 ft by 8 ft. One quart of paint covers 2 100 ft . How many quarts of paint are needed to paint the room, if only full quarts can be purchased? Show your work.
Answer:
3.8 quarts
Step-by-step explanation:
What type of polygon is pictured here
Answer:
irregular heptagon
Step-by-step explanation:
What is a fraction for 6:100
Answer:
it's 3/50
Step-by-step explanation:
Answer:
3/50
Step-by-step explanation:
the fraction 6/100 can simplify to 3/50
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
Find the area.
4 cm
6 cm
6 cm
square centimeters
Answer:
96cm
Step-by-step explanation:
4cm x 4cm x 6cm = 96scm
Grades do Friday plz help I’ll do anything 1. Write an equation in standard form for the line shown
10
2. The equation 2x - 5y = 20, the table below, and the graph
below represent three different linear functions.
X
у
3
1
-2
4
-1
7
0
10
21
2
13.
16
3
19
1
which function represents the line with the greatest slope?
Explain your reasoning
3. Winto an equation in standard form for the line that is
represented by the data in the table
x
-1
2
3
7
5
3
1
4. Write an equation in standard form for the line with a stope
of that passes through the point (2)
5. Doomine the concept y barcopt, and slope of the line
described by 3x7 -21
Answer: You have to be packiing
Step-by-step explanation: 17 inches
If the simple interest on $1000 for 9 years is $630, then what is the interest rate?
Answer:
0.07 or 7%
Step-by-step explanation:
I = Prt
630 = (1000)(9)r
630 = 9000r
r = 0.07
Step-by-step explanation:
Simple interest (SI) = $ 630
Time (T) = 9 years
Principal (P) = $ 1000
Rate (R) = ?
We know
[tex]si = \frac{ptr}{100} \\630 = \frac{1000 \times 9 \times r}{100} \\ 630 = 90r \\ r \: = \frac{630}{90} \\ = 7\%[/tex]
Therefore the rate of interest is 7%.
Hope it will help :)❤
HELP AND PLS EXPLAIN AND ILL MARK BRAINLIEST PLSS I'M CONFUSED AND NEED HELP FAST
Answer:
Okay so what you do is multiply 6*9*4.5 together and that'll give you 243 as the volume of the prism. I'm not sure what it is in decimal. I'm guessing 24.3
I'm so sorry if this is incorrect.
Have a great day! <3
Answer:
121.5 ft^2
Step-by-step explanation:
To find Volume of Triangular prism, find the area of the triangular shape first.
Step 1: 6 x 4.5 = 27(square)
Step 2: 27 x .5 = 13.5(triangle)
13.5 x 9(the width) = 121.5
Because volume is length x width x height.
The height and length is 6 x 4.5 in this problem.
Note : I did "x.5 " because I needed to divide 27 by two to get a triangle. Since a triangle is half a square. Dividing by 2 and multiplying by .5 are the same thing.
Example: 20 x .5 =10 or 20/2 =10
Is this true for false?
Answer:
i believe true
Step-by-step explanation:
sorry if wrong
10=k5 what does k equal
Answer:
k = 2
Step-by-step explanation:
10 = 2(5)
10 = 10
Answer: k=2
Step-by-step explanation:
10=(2)5
10=2x5
10=10
i need help asap! pls
The answer is b) because one of the line passes through this point
Plzzz helppp!!
Which equation is equivalent to 3/5 = 17 2/5 divided by h
The correct expression will be ( 3 + 9) = ( 87 ÷ h ) + 9. The correct option is C.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 3 / 5 = 17²/₅ ÷ h. The expression will be solved as below,
3 / 5 = 17²/₅ ÷ h
3/5 = 87 / 5 ÷ h
h = 87 / 3
h = 29
Check option C for the value of h = 29.
3 + 9 = ( 87 / h ) = 9
3 = 87 / h
h = 87 / 3 = 29
Hence. the correct option is C.
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The parallel sides of a trapezium are 20 cm and 10cm and its non parallel sides is 2 m if one of the parallel side is double he oher find the measures of the parallel sides
Answer:
The parallel sides of a trapezium are 20 cm and 10cm and its non parallel sides is 2 m if one of the parallel side is double he oher find the measures of the parallel sides
Step-by-step explanation:
Base of triangle :
(20 - 10) / 2 = 10/2 = 5m
The height, h :
Please help with these 3! Don’t need the steps, just the answer
A rectangle has an area of 56x2y units2. If the height of the rectangle is 7xy. What is the length of the rectangle.
Answer:
8x units
Step-by-step explanation:
A rectangle has an area of 56x²y units². If the height of the rectangle is 7xy. What is the length of the rectangle.
The Area of a Rectangle is calculated with the formula
Length × Width ( Height)
Area = 56x²y square units
Height = 7xy units
Length =Area of the rectangle/Height of the rectangle
= 56x²y square units/7xy units
= 8x units
A study gathers data on the outside temperature during the winter, in degrees Fahrenheit, and the amount of natural gas a household consumes, in cubic feet per day. Call the temperature x and gas consumption y. The house is heated with gas, so x helps explain y. The least-squares regression line is yhat = 1344 – 19x. 1. On a day when the temperature is 20F, the regression line predicts that gas used will be about
Answer:
The answer is "964 cubic-feet".
Step-by-step explanation:
Given regression equation:
[tex]\to Y = 1344 - 19X\\\\\to X= 20 \ F[/tex]
Putting the value of x into the above equation:
[tex]\to Y = 1344-19\times20\\\\[/tex]
[tex]= 1344-380\\\\= 964 \ cubic-feet[/tex]
A recipe needs 1/2 teaspoon of vanilla for every 21/2 cups of sugar. If you plan to use 5 cups of sugar, how much vanilla will you need?
Answer:
1 teaspoon
Step-by-step explanation: