[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]
Original price is 520
solve this equation by completing the square p^2 + 16p - 17 = 0
Answer: p=1
Step-by-step explanation:
[tex]p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1[/tex]
(p-1)(p+16)
Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.
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 y = x + 7 in standard form using integers.
Answer:
y=x+7
y=7x+y
=7xy
Step-by-step explanation:
right answer is 7xy
Find the value of x and d.
Step-by-step explanation:
2x-5=71 ---> x=38
71+76=147 ---> d=33
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
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:
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
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
Learn more here: https://brainly.in/question/21002234
Can someone help me thanks!
Answer:
If it goes to the left it becomes in the hundredths place meaning it decreases
Step-by-step explanation:
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%.
Learn more about standardized test;
https://brainly.com/question/29388604
#SPJ5
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
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:
35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??
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]
9.8 less than the product of 37 and t
Answer:
37t-9.8
hope it helps!!!!!!
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 :\
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]
the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False
Answer:
True.
Step-by-step explanation:
As long as the vertex of the angle is at the center of curvature of the intercepted arc.
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:
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 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.
Learn more about the mathematical expression visit:
https://brainly.com/question/1859113
#SPJ2
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
Learn more about place value here:
https://brainly.com/question/17983725
#SPJ2
Help please! Morgan’s Laws!
Answer:
Please Mark me as a brainlist
If you drive 565 miles a day, how far will you have gone at the end of a week?
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
Which fraction is equivalent to 6/10
Answer:
12/20
Step-by-step explanation:
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
The answer is x=34 degrees.
The answer you are looking for is x=34.
Solution/Explanation:
First things first, we need to understand that the sum of the angles of a triangle is 180°. We can apply this fact for the problem.
So, that means that the sum of all of the angles of this triangle is 180°.
So, therefore, we can formulate an equation:
2x+20+2x-10+x=180.
So, we now have our expression.
Now, all we need to do is simplify it.
Combining similar-like terms,
2x+2x+x+20-10=180.
Simplifying it now,
5x+10=180.
Subtracting 10 from both sides of the equation,
5x+10-10=180-10.
5x=170.
Finally, dividing both sides by 5,
5x/5=170/5.
x=34.
So, therefore the final answer is x=34.
I hope that this has helped you. Enjoy your day, and take care!
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
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.