How many solutions does the following system have?
2x+3y=1
-3x - 2y= - 1
infinitely many solutions
two solutions
one solution
no solutions
Answer:
I'm pretty sure its one solutions
Step-by-step explanation:
Answer:
One solution
Step-by-step explanation:
B. One solution is the correct answer
Solve 2 2/5 - 1 1/2 .
Answer:
9/10
Step-by-step explanation:
2 2/5 - 1 1/2
Get a common denominator of 10
2 2/5 *2/2 = 2 4/10
1 1/2 *5/5 = 1 5/10
2 4/10 - 1 5/10
Borrow from the 2 as 10/10
1 + 10/10 +4/10 - 1 5/10
1 14/10 - 1 5/10
9/10
If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)
Answer:
250,000
Step-by-step explanation:
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment whose endpoints are (2, -3) and (-6,5).
Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Complete the table to find solutions to the linear equation y=-10x+30
All side lengths in quadrilateral PQRS measure 6 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit. Is the transformation an isometric transformation? Explain
Answer:
no. in an isometric transformation, the side lenths all stay the same. in this transformation (which is a dilation), the size lengths decreased, so it is not isometric.
Step-by-step explanation:
HELPPP PLEASEEE
g(t) = 6 - 1
g
-) = -7
t is -1
g ( t ) = 6t-1
g (-1) = 6(-1)-1
= -6-1 = -7
round 496,804 to the nearest hundred thousand.
Answer:
500,000
Step-by-step explanation:
You have a 9 in the ten thousand, round up and get 500,000
what is 1232 dived by 77 ? please show work
Answer:
16 is ur answer
Step-by-step explanation:
1. open calculator
2. write 1232/77
3. get 16
Latoya has a bookcaes with k shelves. There are 14 books on each shelf. Using k, write an expression for the total number of books
Answer:
Step-by-step explanation:
Pamela has 15 different books. In how many ways can she place her books on two selves so that there is at least one book on each shelf? (Consider the books in each arrangement to be stacked one next to the other, with the first book on each shelf at the left of the shelf.)
Initially, I thought that this would be fairly straight forward. There are two cases where either shelf could be empty and so we would subtract 2 from the total number of permutations which is obviously 15!. It is obvious now that both of these statements are false.
My previous thoughts didn't take into account the fact that there are two shelves and that the books could be stacked in such a way that 5 are on the top shelf and 10 are on the bottom, or 8 on top with 7 on bottom, or any number of other ways. I believe there are 214 ways the books can be distributed amongst the two shelves (keep in mind that each shelf has to have at least one book, 15−1=14) if the ordering of the books didn't matter, but it does. Is this correct?
K divided by seven is 7
Answer:
K/7=7 K=49
Step-by-step explanation:
K=49 because if you multipy 7 and 7 because its the inverse operation you get 49.
The two windows shown are similar. What is the height of the larger window?
Answer:
the answer is 5.44 feet
Step-by-step explanation:
Add me
Answer:
Step-by-step explanation:
A population of a particular yeast cell develops with a constant relative growth rate of 0.4225 per hour. The initial population consists of 3.9 million cells. Find the population size (in millions of cells) after 3 hours. (Round your answer to one decimal place.)
Answer: The population after 3 hours is 13.9 mill.
Step-by-step explanation:
When we have an exponential with:
A = initial population.
r = constant relative growth rate:
t = time.
The function that models this is:
P(t) = A*e^(k*t)
In this case we know that:
A = 3.9 mill.
r = 0.4225 1.
Then the function that models the population of this yeast cell is:
P(t) = (3.9 mill)*e^(0.4225*t)
where t represents the time in hours.
Then if we want to know the population after 3 hours, we should replace t by 3.
P(3) = (3.9 mill)*e^(0.4225*3) = 13.85 mill.
And we want to round our answer to one decimal place, then we must look at the second decimal place, we can see that is a 5, so we should round up.
The population after 3 hours is 13.9 mill.
The exponential function is often used to model the growth or decay of a population
The population size of the yeast cell after 3 hours is 7.9 million
The given parameters are:
[tex]\mathbf{a = 3.9m}[/tex] --- initial number of cells
[tex]\mathbf{r = 0.4225/hr}[/tex] --- rate
The nth term of an exponential function is:
[tex]\mathbf{f(n) = a(1 + r)^{n-1}}[/tex]
After 3 hours; n = 3
So, we have:
[tex]\mathbf{f(3) = a(1 + r)^{3-1}}[/tex]
Substitute values for a and r
[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{3-1}}[/tex]
[tex]\mathbf{f(3) = 3.9(1 + 0.4225)^{2}}[/tex]
[tex]\mathbf{f(3) = 3.9 \times (1.4225)^{2}}[/tex]
[tex]\mathbf{f(3) = 7.9}[/tex]
Hence, the population size of the yeast cell after 3 hours is 7.9 million
Read more about exponential functions at:
https://brainly.com/question/3127939
A college student borrows $2000
for 3
months to pay for a semester of school. If the interest is $41.25
,
find the monthly payment.
Answer:
707.91 dollars.
Step-by-step explanation:
2000 divided by 3 = 666.66
666.66 + 41.25 = 707.91
Answer:
the correct answer is 680.42
Step-by-step explanation:
Which line is perpendicular to 3y + 2x = 9?
Options:
6x - 4y = 12
2x + 3y = 6
y + 3x = -2
y = -2x + 6
Answer:
2x + 3y = 6
Step-by-step explanation:
Felix bought x pounds of grapes that cost $1.25 per pound and y boxes of cereal that cost $2.50 per box. He spent less than $10. Which graph represents this scenario?
Answer:
The Answer is B
Step-by-step explanation:
Trust me i did it
Answer:
B ANSWER IS B
Step-by-step explanation:
Mr. Oates has 3/4 pound of oatmeal he uses 2/3 of the oatmeal to big muffins how much oatmeal does Mr. Courts have left
Answer:
1/12
Step-by-step explanation:
3/4-2/3 = 9/12-8/12 = 1/12
In need of more help I’m thankful for the answers you all have helped me with I need to pass
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[tex]g(x) = | \frac{1}{5}x | \\ [/tex]
Thus the correct answer is (( B )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
if set A. have numbers 5, 25, 15, and 35 can you describe set A ?
Answer:
Set A = { 5, 25, 15, 35 }the set of multiples of 5Step-by-step explanation:
Words to describe the set:
A set can also be described by just defining it using plain words. For example, the set A= {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday} can be described using words like “the set of days of the week”. Another example can be “the set of months of the year”.
Simplify: (8 2/3)^4
Answer:
8^8/3
Step-by-step
What is the slope of the line that passes through points (-3,5) and (11, 5)?
In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?
Answer:
4,452,798
Step-by-step explanation:
Hope this helps
$1.5 x 10^13 in decimal
2. Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle
A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
a. 40 inches by 10 inches
b. 10 inches by 2.5 inches
c. 9 inches by 3 inches
d. 7 inches by 3 inches
e. 6.4 inches by 1.6 inches
Answer:
a. 40 inches by 10 inchesStep-by-step explanation:
Given the measurement of Rectagle A = 8in by 2in. If rectangle B is a scaled copy, this means the length and with of the new triangle by be that of A multiplies by a constant factor.
If the scale is 5:1, this means that the dimension of Rectangle B is as shown;
Length of B = 5(8in) = 40in
Width of new Rectangle B = 2(5) = 10in
Hence the measurement pairs that could be the dimensions of Rectangle B are 40in by 10in
the rest of the measurement are not multiplied by a constant value.
What is the slope-intercept equation of the line below?
y-intercept = (0, -2)
slope = 4/5
Answer:
y=4/5x-2
Step-by-step explanation:
3x + x- 2x + 8 = 3x + x
Answer:
x=4
Explanation:
3x+x−2x+8=3x+x
Step 1: Simplify both sides of the equation.
3x+x−2x+8=3x+x
3x+x+−2x+8=3x+x
(3x+x+−2x)+(8)=(3x+x)(Combine Like Terms)
2x+8=4x
2x+8=4x
Step 2: Subtract 4x from both sides.
2x+8−4x=4x−4x
−2x+8=0
Step 3: Subtract 8 from both sides.
−2x+8−8=0−8
−2x=−8
Step 4: Divide both sides by -2.
−2x−2=−8−2
x=4
What are inverse functions?
If functions transfer some a to b via some formula, then inverse of such functions transfer b to a via some other formula.
Hope this helps.
X Problem P5-9 (similar to)
Question Help
Based on the after-tax retums, at what federal tax rate (as shown in Chapter 4) is an investor better off choosing a tax-exempt 7 16 percent municipal bond over a
taxable 10.39 percent corporate bond?
The after-tax retum on the corporate bond when the tax rate is 10% is %
Answer:
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%
Step-by-step explanation:
The investor is better of at any rate above 30%, i.e 31% of tax rate would give the investor 7.1691% return ( 10.39 − ( 10.39 ⋅ 31 % ) )
Thus the return from the tax exempt municipal bond would be higher than the return from the taxable corporate bond.
The after-tax rate for the Corporate Bond when the tax rate is 10% is 9.35%( 10.39 − ( 10.39 ⋅ 10 % ) )
x + 2y = 4
2x – 3y = 1
I will give brainiest
Fill in the blank. In the triangle below, zº = ___º
Answer:
[tex]\huge\boxed{43 \textdegree}[/tex]
Step-by-step explanation:
We can use basic angle relationships to find the measure of z.
We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.
[tex]47+90=137\\\\180-137=43[/tex]
Hope this helped!