Answer:
The slope is -3.75 or -15/4.
Step-by-step explanation:
The formula for slope is the change in y over the change in x.
To do this, you subtract 7-3 to get you 4 on the bottom of the fraction and -7-8 which is -15.
So pretty much, you get -15/4. :)
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
Wireless Phone Company A charges $20 fee plus $0.12 per minute. Wireless Phone Company B charges $50 fee plus $0.06 per
minute. For how many minutes of calling time will the monthly bills be the same?
O 250 minutes
80 minutes
100 minutes
500 minutes
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
Please help me to solve
✓ C
✓ D
✓ E
Answer:
1)Mononaimal polynomial
2)Mononomial polynomial
3)Bionomial polynomial
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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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
could someone please help me with part b ?
Answer:
The answer is c, C=1.5w + 5
Step-by-step explanation:
Let's write a general equation first,
C = mw + b, where C represents the shipping cost, w is the weight, m and b are non-zero constants.
By using the set of data in the table, what we can do is to substitute the corresponding values into our general equation. [Use any 2 set of numbers]
11 = 4w + b --(1)
17 = 8w + b --(2)
Here we got 2 equations, 2 unknown, thus we can get
w = 3/2, b = 5
The answer is c, C=1.5w + 5
[Noted that if you already got the slope(the yellow words), you can simply substitute one set of numbers into C=1.5w + b to find the value of b]
Which of the following best describes the solution to the system of equations below? -8x + 3y = -6 9x - 3y = 6 A. The system of equations has exactly one solution where x = 8 and y = 2. B. The system of equations has no solution. C. The system of equations has infinitely many solutions. D. The system of equations has exactly one solution where x = 0 and y = -2.
Answer:
C. no solution
Step-by-step explanation:
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
A singer earns $4 million in 2015. During the next 10 years, the earnings increase 7% each year. A. Write an exponential growth model giving the earnings y (in millions of dollars) t years after 2015. Write the base of the model as a decimal. An exponential growth model is y= b. In which year will the player's earnings first exceed $7,000,000?
Answer:
ninth year
Step-by-step explanation:
Given the general form of an exponential equation;
P = a(1 +r)^t
We can now write in this particular case;
y = 4 * 10^6(1 + 0.07)^t
The year in which y reaches 7 * 10^6 dollars is
7 * 10^6 = 4 * 10^6 (1 + 0.07)^t
7 * 10^6/4 * 10^6 = (1 + 0.07)^t
1.75 = (1 + 0.07)^t
ln(1.75)= ln(1 + 0.07)^t
ln(1.75) = t ln(1 + 0.07)
0.5596 = 0.06766t
t = 0.5596/0.06766
t = 8 years
So, in the ninth year;
y = 4 * 10^6 (1 + 0.07)^t
y = 4 * 10^6 (1 + 0.07)^9
y = 7.35 * 10^6
Hence, the player's earnings first exceed $7,000,000 in the ninth year.
Write an equation in point-slope form for the line that has the given slope m and that passes through the given point. m = −2; (0, 1)
Answer:
[tex]y - 1 = -2x[/tex]
Step-by-step explanation:
The Point slope formula is [tex]y - y_{1} = m(x-x_{1})[/tex]
To solve, just plug in the values:
[tex]y-1 = -2(x-0)\\y - 1 = -2x[/tex]
Answer:
y - 1 = -2x
Step-by-step explanation:
point-slope form is: y - y1 = m(x - x1) so with what is given:
y - 1 = -2(x)
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
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
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:
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
plzzzz help me due soon!!!
Answer:
c
Step-by-step explanation:
i hope this helps
(┛◉Д◉)┛彡┻━┻
I need help again.....
please someone help me
Answer:
8: 79
9: 42 (I was doing it in my head it probably no correct)
10: 183
11: 750
12: 92
13: i don't know sorry
Step-by-step explanation:
I can't promise that all are going to be correct, but hopefully it's helpful because I am in 6th grade but am in high school math.
Two children divide £1.50 between them in the ratio of 2: 1. How much is the smaller share?
Answer:
0.50 cents
Step-by-step explanation:
If the ratio is 2:1 then the bigger share would be 2 times bigger than the smaller share.
On Wednesday morning, Smith's had 99
boxes of Sweet Smacks on the shelf. 4
out of every 11 boxes contained a prize.
How many boxes did NOT contain a
prize?
Answer:
4
Step-by-step explanation
Im sure its four. If not let me know
what is the function rule
Answer:
A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.
Step-by-step explanation:
Answer: The Function Rule is Y= 5x-3
Hopes that helps
someone help :))))!!
Last year, a school had 632 students. This year the school has 670 students. Find the percent of increase in the number of students.
Answer:
I don't know
Step-by-step explanation:
but what I do know is to not increase your days is bad
Help me please and thank you
the answer is
360 hoped that helped
Answer:
240
Step-by-step explanation:
600 x .6 = 360
600 - 360 = 240
Can someone explain this
Answer:
ummm if yu foil yu get
(4x+2)(x+1)
Step-by-step explanation:
ion kno if das rii
MacKenzie invested $6,500 in an account that earns 4.3% simple interest rate. What is the balance in her account after 5 years?
Answer:
so you wold do I=t×r×A ok so I=6,500 t=5 r=4.3 and u have to find A so you wolf multiple 5×4.3=21.5 and than you wold divide 6500÷21.5=302.3255813953488×21.5= 6500 so A=302.3255813953488
Is this true for false?
Answer:
i believe true
Step-by-step explanation:
sorry if wrong
Can plss someone help me pls I need help
Answer:
[tex]x = { \tan(4.6) }^{ - 1} \\ x = (77.73522627211)[/tex]
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:
1 poin
A catering assistant mixes 4 parts of cordial to 12 parts of water. Express
this as a ratio in its simplest form.*
1:1/3
O 1:2
O 1:3
O 14