What is the equation of the line that passes through (0, 3) and (7, 0)?
A. (Image 093047)
B. (Image 093055)
C. (Image 093108)
D. (Image 093116)
Answer:
[tex]y = -\frac{3}{7}x + 3[/tex]
Step-by-step explanation:
In order to find the equation of a line, we need to first find the slope. Slope is represented by the formula:
[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]
where (x1, y1) and (x2, y2) are point on the line. In this case, we can use the points (0, 3) and (7, 0):
[tex]\frac{0-3}{7-0} = -\frac{3}{7}[/tex]
The point (0, 3) is the y-intercept, so given an equation in the form y = mx + b, 3 would be b and we already calculated the slope, which is m. We can plug these values in to get:
[tex]y = -\frac{3}{7}x + 3[/tex]
Write the number in expanded form 33,240
Answer:
Standard Form:
33,240
Expanded Notation Form:
33,240 =
30,000
+ 3,000
+ 200
+ 40
+ 0
Expanded Factors Form:
33,240 =
3 × 10,000
+ 3 × 1,000
+ 2 × 100
+ 4 × 10
+ 0 × 1
Expanded Exponential Form:
33,240 =
3 × 10^4
+ 3 × 10^3
+ 2 × 10^2
+ 4 × 10^1
+ 0 × 10^0
Word Form:
33,240 =
thirty-three thousand two hundred forty
Find the value of f(-7)
Answer:
-7
Step-by-step explanation:
Look at picture body :\
Solve the equation. x + (–6) = –9
Answer:
-3
Step-by-step explanation:
9514 1404 393
Answer:
x = -3
Step-by-step explanation:
Undo the addition of -6 by adding the opposite of that to both sides of the equation.
x + (-6) +(+6) = (-9) +(+6)
x -6 +6 = -9 +6
x = -3
If f(x)=-3x-5andg(x)=4x-2,find(f+g)(x)
Answer:
x -7
Step-by-step explanation:
f(x)=-3x-5
g(x)=4x-2
(f+g)(x)= -3x-5+4x-2
Combine like terms
= -3x+4x -5-2
= x -7
Answer:
[tex]x - 7[/tex]
Step-by-step explanation:
[tex]f(x)=-3x-5 \\ g(x)=4x-2 \\ (f+g)(x) = - 3x - 5 + 4x - 2 \\ = x - 7[/tex]
The sum of a number and 3 is 6 less than twice that number.
Solve
Answer:
there are two operation end modes [ = , < ]
so, it remains an expression
Step-by-step explanation:
let the number be x :
[tex] \{(n + 3) = 6 \} < 2n[/tex]
The solution of the written expression, ''The sum of a number and 3 is 6 less than twice that number'' is 9.
Here,
The written expression, ''The sum of a number and 3 is 6 less than twice that number''.
We have to solve this expression.
What is Mathematical expression?
An expression consists of one or more numbers or variables along with one more operation.
Now,
Let a number is x.
By the given written expression, we can write the mathematical expression as,
x + 3 = 2x - 6
By solving;
x + 3 = 2x - 6
3 + 6 = 2x - x
9 = x
x = 9
Hence, the value of written expression is x.
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a sports team won twice as many games as they lost. the sum of games won and games lost was 42. How many games did they win?
Answer:
The number of win games are 28
Step-by-step explanation:
x=lost. 2x=win
2x+x=42
3x=42
x=42
3
x=14
win=2x
=2×14
=28
The number of games the sports team won if a sports team won twice as many games as they lost is 28games
Let the amount the sports team lost be x
If the sports team won twice as many games as they lost, then the number of games won will be 2x
If the sum of games won and games lost was 42, then:
x + 2x = 42
3x = 42
Divide both sodes by 3
3x/3 = 42/3
x = 14
Amount of games won = 2(14)
Amount of games won = 28games
Hence the amount of games the sports team won is 28games
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HELP PLSSS ASAP pls
Answer:
first choice - it is dilated by 1/3
Step-by-step explanation:
write out your triangles points
A (-12,12) A' (4, -4)
B (-3, 12) . B' (1, -4)
C (-9,6) . C' (3, -2)
Help!!! What is the area of this??
Answer:
37.44
Step-by-step explanation:
area of rectangle + area of triangle and tada
Theresa and her nine classmates took a standardized test. Their scores were: 88, 49, 92, 47, 61, 94, 94, 76, 79, and 92. Theresa received an 88 on the test. Which percentile is she in
Answer: 60th
Step-by-step explanation:
First order the values from least to greatest:
47, 49, 61, 76, 79, 88, 92, 92, 94, 94.
We can note that the 88 is the 6th of 10 values, so 6/10 = 0.60 or the 60th percentile.
Theresa is in 60 percentile.
What is standardized test?A test that is administered and scored in a consistent, or "standard," manner is known as a standardized test. The questions and interpretations on standardized tests are designed to be consistent and are administered and scored in a predetermined, standard manner.
A standardized test is one in which the same test is given to all test takers in the same way and graded in the same way for everyone.
Given scores
88, 49, 92, 47, 61, 94, 94, 76, 79, and 92.
arrange in increasing order,
47, 49, 61, 76, 79, 88, 92, 92, 94, 94
Theresa got 88, which is sixth term
percent = term x 10
percent = 6 x 10 = 60%
Hence, she is in 60%.
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Determine how many fish food cubes with edges of one-fourth inch can be packed along each side of the shipping box
Answer:
2340
Step-by-step explanation:
The university of Michigan football stadium can hold 107,601 people. Michigan states football stadium can hold 75,001 people. 51,000 people can fit in the football stadium at the university of North Carolina and 40,004 people can fit in duke universities stadium which is also in North Carolina. How many more people can fit in the stadiums in Michigan combined than in the stadiums in North Carolina combined
Answer:
56,601
Step-by-step explanation:
which ordered pair represents the x-intercept for the linear equation, 3y+4×=8?
(0, 8/3)
(0, 2)
(2, 0)
(8/3, 0)
Answer: Third Choice. (2, 0)
Step-by-step explanation:
STEP ONE: Look over the given choice.
When the value of y is 0, the value of x would be the x-intercept.
The given choice are the following:
(0, 8/3)(0, 2)(2, 0)(8/3, 0)As we can see from the choices, the first two do not have the value of y as 0, therefore, they can be automatically neglected. Then, we are left with two choices left.
STEP TWO: Substitute the remaining values into the given equation
Given point = (2, 0)
3y + 4x = 8
3 (0) + 4 (2) = 8
0 + 8 = 8
8 = 8 [tex]\boxed {TRUE}[/tex]
Given point = (8/3, 0)
3y + 4x = 8
3 (0) + 4 (8/3) = 8
0 + 32 / 3 = 8
32/3 ≠ 8 [tex]\boxed {FALSE}[/tex]
Therefore, the ordered pair that represents the x-intercept is (2, 0).
Hope this helps!! :)
Please let me know if you have any questions
six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
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Rates 13 feet in 5 steps
Answer:
[tex]2.6\frac{feet}{step}[/tex] or 2.6 ft/step
Step-by-step explanation:
In order to find the average number of feet traveled per step, divide the total number of feet traveled by the total number of steps taken:
[tex]\frac{13 feet}{5 steps}=\frac{13}{5}\frac{feet}{step}=2.6\frac{feet}{step}[/tex]
Therefore, for each step taken 2.6 feet are traveled (on average). We can say this as 2.6 feet per step or 2.6 ft/step.
What is 52,236 in standard form?
Answer:
5.2236 X 10^4
Step-by-step explanation:
52,236 in standard form is 5.2236 X 10^4
what is 392,153 rounded to the nearest ten thousand
Step-by-step explanation:
392,153 rounded to the nearest ten thousand is 390,000
Answer:
I believe it is 390,000
Step-by-step explanation:
9.8 less than the product of 37 and t
Answer:
37t-9.8
hope it helps!!!!!!
4. -7 = 3k - 3-7
this one to please lol
Answer:
7/3 =k
Step-by-step explanation:
4. -7 = 3k - 3-7
Combine like terms
-3 = 3k-10
Add 10 to each side
-3+10 = 3k-10+10
7 = 3k
Divide each side by 3
7/3 = 3k/3
7/3 =k
Answer:
7/3
Step-by-step explanation:
4 - 7 = 3k - 3-7
=> -3 = 3k - 10
=> -3 + 10 = 3k
=> 7 = 3k
=> 7/3 = k
=> k = 7/3
what fraction of a minute is 50 seconds
[tex]\large \mathfrak{Solution : }[/tex]
we know,
[tex]60 \: \: sec = 1 \: \: min[/tex][tex]1 \: \: sec = \dfrac{1}{60} \: \: min[/tex][tex]50 \: \: sec = \dfrac{1}{60} \times 50 \: \: min[/tex][tex]50 \: \: sec = \dfrac{5}{6} \: \: min[/tex]50 seconds is 5/6 th of a minute.
What is the Factors of 63
Answer:
Factors of 63 ; 1 , 3 , 7 , 9 , 21 , 63
I hope I helped you^_^
Answer:
1, 3, 7, 9, 21, 63
Step-by-step explanation:
factors of 63 = 1, 3, 7, 9, 21 and 63
The music store sold 12 trumpets and 19 clarinets last month.
a) Write an equation to show the amount of money earned on trumpet and clarinet sales last month. Define your variables.
b) If clarinets sell for $139.95 and the store made $4578.45 from sales on the two instruments, find the price of a trumpet.
Answer:
a) let x = price of 1 trumpet
let y = price of 1 clarinet
12x + 19y
b)
12x + 19(139.95) = 4578.45
12x + 2659.05 = 4578.45
12x = 1919.4
x = $159.95
Write the nth term of the following sequence in terms of the first term of the sequence. PLEASE HELP DUE IN 6 DAYS!!!!!!!
a, a + 4, a +8,...
Answer:
a + 4(n-1)
Step-by-step explanation:
The first term is a+4, the second term is a+8, the third term is a+12, etc.
A common theme that we can notice is that we add 4 for each term. For example, the second term (t₂) equals t₁+4, the third term equals t₂+4 (as a+4+4 = a+8), and so on. Another way of writing this is that we multiply 4 by (term number - 1) and add that to a. We can write this as
4 * (n-1) + a
Simplify show all steps 30 POINTS
Answer:
(y+4) /2
Step-by-step explanation:
(y²-16)/(2y+6) × (y+3)/(y-4) =
(y+4)(y-4) / 2(y+3) × (y+3)/(y-4)
=> eliminate all (y-4) and (y+3)
so, we get :
(y+4)/2
Help please! Morgan’s Laws!
Answer:
Please Mark me as a brainlist
Oscar and Maria each wrote an equation that they felt represented the proportional relationship between distance in kilometers and distance in miles. One entry in the table paired 152 km with 95 miles. If k represents the number of kilometers and m represents the number of miles, who wrote the correct equation that would relate kilometers to miles? Explain why.
Oscar wrote the equation k=1.6m, and he said that the unit rate 1.6/1 represents kilometers per mile.
Maria wrote the equation k=0.625m as her equation, and she said that 0.625 represents kilometers per mile.
9514 1404 393
Answer:
Oscar
Step-by-step explanation:
On the face of it, you can see that the number of kilometers representing a given distance is greater than the number of miles. (152 > 95)
This means the constant of proportionality (a) in the equation ...
k = am
must be greater than 1. You can find its value by solving this equation for 'a' and using the table entries for k and m:
a = k/m = 152/95 = 8/5 = 1.6
The correct relation is ...
k = 1.6m . . . . . Oscar wrote the correct equation
Write 87 tens and 2 ones as a base-ten number.
87 tens and 2 ones as a base-ten number any base 10 number and Divide it by 2. Therefore (87)₁₀ = (1010111)₂
How to identify the place value of a digit in a number?The place values on left of decimal point start as ones, tens, hundreds, and so on.
The place value on right of decimal point starts from point and goes to right as tenths, hundreths and so on
The tens means multiply by 10..
The tenth means tenth part of that digit which is that digit divided by 10...
we are asked to Write 87 tens and 2 ones as a base-ten number.
Take any base 10 number and Divide it by 2.
Therefore (87)₁₀ = (1010111)₂
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Which fraction is equivalent to 6/10
Answer:
12/20
Step-by-step explanation:
Write y = x + 7 in standard form using integers.
Answer:
y=x+7
y=7x+y
=7xy
Step-by-step explanation:
right answer is 7xy
4.6w - 3 + 6.4x - 1.9y
Answer:
What do you want me to do? Its already simplified to its lowest terms
Answer:
w = 0.652173913 + -1.391304348x + 0.4130434783y
Step-by-step explanation:
I am pretty sure this is it.