Answer:
See below.
Step-by-step explanation:
They invested in a ratio of Julie:Kristen of 5:12.
5 + 12 = 17
Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.
a.
Julie: 5/17 * $51,000 = $15,000
Kristen: 12/17 * $51,000 = $36,000
b.
Kristen owns 12/17 of the business.
As a percent, 12/17 = 12/17 * 100% = 70.6%
c.
The percent of the business each owns does not change with the amount the company is worth.
Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%
Andrea is selling candles as a fundraiser. She spent $50 on supplies for making the candles. She plans to sell the candles for $10 each. The functions of her revenues can be modeled by C(x) = 10x - 50 What is a reasonable range for the function?
Answer:
A reasonable range for the function is [tex][0, +\infty)[/tex].
Step-by-step explanation:
Revenues are positive quantities since Andrea is looking for money after expenses, so that reasonable range of the revenue function is [tex][0, +\infty)[/tex].
what should be subtracted from 1 to get 1-x+2x2
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Amswer : [tex]\boxed { ( x - 2x^2 ) }[/tex]
Well you have to subtract [tex]( x - 2x^2 )[/tex] from [tex]1[/tex] to get [tex]1- x + 2*2^2[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Find em when em = 7x and the midpoint is m and mg = 8x-6
Answer:
EM = 42
Step-by-step explanation:
If M is the midpoint, then we can say that EM = MG.
So now, I can set up an equation:
7x = 8x - 6
And solve for x.
7x = 8x - 6
-8x -8x
-x = -6
x = 6
Since we are trying to find EM, and EM is 7x, we can multiply x by 7 to find our answer:
7x
7(6)
42
EM = 42
Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
Answer:
david drove faster than dan bcz
Answer:
David drove faster
Step-by-step explanation:
Dan - 60m/5h = 12 miles an hour
David - 75m/6h = 12.5 miles an hour
Therefore David drove faster.
HELP! - Water boils at different temperatures at different elevations. The boiling temperature of water is 212F at sea level (0 feet) but drops about 1.72F for every 1,000 feet of elevation. Write a formula for the boiling point at a given elevation. Then solve the formula for the elevation when the boiling point for water is 190F. Determine a formula for the boiling point b, in degrees Fahrenheit, at elevation h, in feet.
Answer:
a. T = -1.72x + 212
b. 12,790 feet
Step-by-step explanation:
a. Let us assume the number of 1,000 elevation feet be x
Now the equation would be
T = -1.72x + 212
here the negative sign represents the fall in the boiling temperature with rise in elevation
b. Since the formula is
T = -1.72x + 212
can we write
T - 212 = -1.72x
now divide by 1.72 in both the sides
[tex]\frac{t-212}{-1.72} = x\\\\ \frac{190-212}{-1.72} = x\\\\ \frac{-22}{-1.72} = x[/tex]
x = 12.79
So in feets it should be
= 12.79 × 1,000 feets
= 12790 feet
In ΔDEF, the measure of ∠F=90°, DE = 8.8 feet, and EF = 6.4 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
46.7 degrees.
Step-by-step explanation:
According to the given information, triangle DEF is a right triangle with angle F as the right angle. We are trying to find the measure of angle D.
We are given the opposite side length (6.4 feet) and the hypotenuse (8.8 feet), so we can use sine to calculate the angle measure (SOH = Sine; Opposite over Hypotenuse).
sin(D) = 6.4 / 8.8
sin(D) = 64 / 88
sin(D) = 8 / 11
D = arcsin(8 / 11)
D = arcsin(0.72727272727272727272727273)
D = 46.65824177.
So, the measure of angle D is about 46.7 degrees.
Hope this helps!
The order of the matrix B is 4 × 5, the order of the matrix D is 4 × 2 and the size of the matrix E is 5 × 4; then the order of the matrix (B^T × D) + ED is: (note that: T stands for transpose)
Answer:
so the order will be 5 x 2
Step-by-step explanation:
When we find the transpose of a matrix we change the rows into columns and columns into rows so the order is also reversed.
The order of B transpose will be reversed i.e. it will 5 x 4.
When we multiply two matrices we check the columns of the first matrix should be equal to the rows of the second matrix and the answer should contain the rows of the first matrix and the columns of the second matrix as the order of the resultant matrix
B^T (5 X 4) X D ( 4 X 2)
B^TD (5 X 2)
Now ED will be
E (5 x 4) D (4 x 2)
ED ( 5 x 2)
Now adding
B^TD (5 X 2) + ED ( 5 x 2) = (B^T × D) + ED ( 5 x 2)
In addition the order does not change.
The diameter of a circle has the endpoints of (2, 5) and (-8, 29). Find the center and radius of the circle. ANSWERS ATTACHED, due in 2 hours, will give BRAINLIEST! 15 points!
Answer:
[tex]\mathrm{Center\:\:}= (- 3,17)\\\mathrm{Radius\:\:}= 13[/tex]
Step-by-step explanation:
Remember that the center of the circle would be equidistant from the given points that lie on the circle.
By determining the diameter through the distance of the given points, we can determine the radius by dividing this distance by 2. And by determining the radius we can determine the center of the circle. Let's do it.
[tex]\mathrm{Distance\:between\:}\left(2,\:5\right)\mathrm{\:and\:}\left(-8,\:29\right) = \sqrt{\left(-8-2\right)^2+\left(29-5\right)^2} = 26[/tex]
[tex]\mathrm{Radius\:\:}= 26 / 2 =13[/tex]
So now that we know the radius is 13 units, we can eliminate answer choice(s) # 2 and # 4. That leaves us with the first and third answer choices. The center being (5,12) is not likely, as most of the circle lies in the 2nd quadrant. That is presumably why (- 3,17) is more predictable. Our answer is the third option.
What is the value of x + y
[tex]\begin{cases}2x+3y=12\\2x-2y=2\end{cases}\\ --------(-)\\2x-2x+3y-(-2y)=12-2\\\\5y=10\quad|:5\\\\\boxed{y=2}\\\\\\2x-2y=2\quad|:2\\\\x-y=1\\\\x=1+y\\\\x=1+2\\\\\boxed{x=3}[/tex]
so:
x + y = 5
how do you wirte 15 and 40 in simplest form
Step-by-step explanation:
15 : 40
Both have table of 5 in common
5 : 8
You divide it with valid numbers that can be dividable with both numerator and denominator.
15/40 can be divided by 5 to make it into the simplest form
= 3/8 , now we can no longer divide it, so its the simplest form
What is the product? Five-twelfths times one-third
When you multiply two fractions together, multiply the two top numbers and then multiply the two bottom numbers.
5/12 x 1/3 = (5x1) / (12x3) = 5/36
Answer:
Step-by-step explanation:
[tex]\frac{5}{12}*\frac{1}{3}\\\\\\=\frac{5*1}{12*3}=\frac{5}{36}[/tex]
Which has a greater capacity: a bottle containing 32 ounces of iced tea, a bottle containing 1 Liter of iced tea, or a bottle containing 2 pints of iced tea?
2 pints
They are all the same capacity.
32 ounces
1 Liter
Answer:
1 liter
Step-by-step explanation:
2.11338 pints = 1 liter
33.814 ounces = 1 liter
Which of the following steps can be performed so that the square root property may easily be applied to 2x2=16? The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 2 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is 16, so divide both sides by 16 before applying the square root property. The square root property requires a quantity squared by itself on one side of the equation. The only quantity squared is x, so divide both sides by 16 before applying the square root property.
Answer:
The square root property requires a quantity squared by itself on one side of the equation. the only quantity squared is x, so divide both sides by 2 before applying the square root property.
Step-by-step explanation:
To solve the given equation of 2x^2=16, the first step is to divide both sides by two to isolate the variable x. This leaves you with x^2=16. the next step would be to use the square root property, leaving the equation as x= 16 squared. then solve for x by squaring 16. This leaves it as x= 4 or -4
Answer:
A
Step-by-step explanation:
Just took the test
Help. What does 4^5×4^7=
[tex]4^5\cdot4^7=4^{5+7}=16,777,216[/tex].
Hope this helps.
4.1 by the power of 2
Answer:
16.81
Step-by-step explanation:
That's basically just 4.1×4.1
Will give brainliest! Probability
Answer:
1/49
Step-by-step explanation:
You wrote the problem correctly. You just needed to multiply instead of add.
1/7*1/7=1/49
So the answer is 1/49.
Answer:
1/49
Step-by-step explanation:
1/7 times 1/7 = 1/49
Find the difference between 3/4 and 1/2
Answer:
¼
Step-by-step explanation:
[tex] \frac{3}{4} - \frac{1}{2} \: \\ lcm = 4[/tex]
[tex] \frac{3}{4} - \frac{1}{2} \\ - - \: \: 3 - 2 - - - \\ 4 \\ \frac{3 - 2}{4} [/tex]
[tex] \frac{1}{4} [/tex]
For the equation r/4 = 16, select the appropriate property of equality to move the coefficient to the right side of the equation. A. Subtraction Property of Equality B. Addition Property of Equality C. Division Property of Equality D. Multiplication Property of Equality
Answer: 1:b subtraction property of equality
2:c multiplication property of equality
3:d division property of equality
4: a addition property of equality
5: d the statement is false.the subtraction property of equality should be used first to remove the constant term before dividing
i took the test.
on a number line, suppose point E has a coordinate of 3, EG=6, and EX=12. is G the midpoint of EX? what are the possible coordinates for G and X?
Answer:
could be, isn't necessarilyG = -3 or 9; X = -9 or 15Step-by-step explanation:
If E is 3 and EG is 6, then ...
G = E ± EG = 3 ± 6
G = -3 or 9
If E is 3 and EX is 12, then ...
X = E ± EX = 3 ± 12
X = -9, or 15
__
If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.
That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.
The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fraction 212121 2\dfrac{1}{3}2 3 1 2, start fraction, 1, divided by, 3, end fraction 454545 555
Answer:
The constant of proportionality is 1/9
Answer:
The answer is actually 3
Step-by-step explanation:
The two triangles are drawn to scale, so we can use the scale factor of \maroonD{1\dfrac{1}{2}}1
2
1
start color #ca337c, 1, start fraction, 1, divided by, 2, end fraction, end color #ca337c to find \greenD{x}xstart color #1fab54, x, end color #1fab54.
Hint #22 / 3
\begin{aligned} [\blueD{\text{length on A}}] \cdot [\maroonD{\text{scale factor}}] &= [\greenD{\text{length on B}}]\\\\ \blueD{2}\cdot \maroonD{1\dfrac{1}{2}}&=\greenD{x} \\\\ \greenD{3}&=\greenD{x} \end{aligned}
[length on A]⋅[scale factor]
2⋅1
2
1
3
=[length on B]
=x
=x
which equals 3
solve ; 7/x-3/2x+7/6=9/x
Answer:
x = 3
Step-by-step explanation:
7/x - 3/(2x) + 7/6 = 9/x
x(7/x - 3/(2x) + 7/6) = x(9x)
x*7/x - 3*x/(2x) + x*7/6 = x*9x
7 - 3/2 + 7x/6 = 9
7x/6 = 9 - 7 + 3/2
7x/6 = 2 + 3/2
7x/6 = 12/6 + 9/6
7x = 12+9
7x = 21
x = 21/7
x = 3
probe:
7/3 - 3/(2*3) + 7/6 = 9/3
14/6 - 3/6 + 7/6 = 3
(14 - 3 + 7) / 6 = 3
18/6 = 3
What is the pattern between these numbers 8,7,5,2
the volume of a cylinder is 308 cm cube with radius 7 cm find the height
Formula :-
Volume of cylinder is π r²h .
Given :-
→ Volume = 308 cm³
→ Radius = 7 cm
Solution :-
→ πr²h = 308
→ π (7)²(h) = 308
→ 22×7×7×h/7 = 308
→ 22×7×h = 308
→ 154×h = 308
→ Height = 308/154
→ Height = 2 cm
So the height of the cylinder is 2 cm .
Evaluate the following expression:
25x(x - 4) when x = -1
URGENT!!!! Which of the following statements is not true?(1 point) A.) For a complex number written in the form a+bi, the value of a is called the real part of the complex number. B.) A complex number is a number that can be written in the form a+bi where a and b are real numbers. C.) In order for a+bi to be a complex number, b must be nonzero. D.) Every real number is also a complex number.
Answer:
The correct option is;
Non of the above
Step-by-step explanation:
Option A is correct when a + b·i is a complex number, the real part = a and the imaginary part = b
Option B.) For the complex number, a + b·i, a and b are real number
Option C) When a number, a + b·i is a complex number, then b ≠ 0
Option D) Whereby real numbers are numbers of the form a + b·i, where b = 0, therefore, a real number is a complex number with the imaginary part = 0 and every real number is a complex number.
Which statement accurately represents to
between pressure and volume?
As pressure increases, volume increa
As pressure decreases, volume decri
As pressure increases, volume decre
Answer:
As pressure increases, volume decreases.
Hope this answer correct :)
Answer:
As pressure increases, volume decreases
Step-by-step explanation:
like the other person said i agree with him or her because i just do :)
Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x, determine the numerical length of IJ.
Answer:27
Step-by-step explanation:
The numerical length of IJ is 27 units.
What is a line segment?A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.
Given that Point, I is on line segment HJ. Given HI = x, IJ = 2x + 9, and
HJ = 4x.
The total length of the line will be written as below:-
HJ = HI + IJ
4x = x + 2x + 9
4x = 3x + 9
4x - 3x = 9
x = 9
The length of the segment IJ will be:-
IJ = 2x + 9
IJ = ( 2 x 9 ) + 9
IJ = 18 + 9
IJ = 27
Therefore, the numerical length of IJ is 27 units.
To know more about line segments follow
https://brainly.com/question/2437195
#SPJ2
How do you do this problem? See attached image
Answer:
I think the answer is d
Step-by-step explanation: you have to divide both sides by 6
please mark as brainliest
Given the midpoint (5,8) and that one of the endpoints is (-2. 6), find the other endpoint
of the segment.
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
[tex]\frac{1}{2}[/tex](- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
[tex]\frac{1}{2}[/tex](6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12, 10 )
Answer:
(12, 10 )
Step-by-step explanation:
Given the endpoints of a segment (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ (x₁ + x₂ ), (y₁ + y₂ ) ]
let (x, y) be the coordinates of the other endpoint then use the midpoint formula and equate to the coordinates of the midpoint.
(x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (x, y), then
(- 2 + x) = 5 ( multiply both sides by 2 )
- 2 + x = 10 ( add 2 to both sides )
x = 12
(6 + y) = 8 ( multiply both sides by 2 )
6 + y = 16 ( subtract 6 from both sides )
y = 10
Thus
The other endpoint is (12 ,10)
Solve for x in the simplest form 11=1/2x+8
Answer:
x = 6
Step-by-step explanation:
11 = 1/2x + 8
-> Move 8 to left side
11 - 8 = 1/2x
3 = 1/2x
->We can switch sides so 1/2x is on the left and 3 is on the right
1/2x = 3
x = 3 x 2/1
x = 6
Answer:
x=6
Step-by-step explanation:
11=1/2x+8
subtract 8 from both sides first.
11-8=1/2x
3=1/2x
Now, multiply by 2 or divide by 1/2 from both sides (your pick)
3*2=x
Therefore the answer is x=6