Answer:
Step-by-step explanation:
5x^2+4x=3(2-x)
5x^2+4x=6-3x
5x^2+4x+3x-6=0
5x^2+7x-6
(5x^2-3x)+(10x-6)
x(5x-3)+2(5x-3)
(5x-3)(x+2)
x=3/5,-2
determine whether the triangles are similar by angle-angle similarity. if yes, write a similarity statement.
Step-by-step explanation:
angle MNP = angle QPL (corresponding angles, //lines) (A)
angle QLP is common angle (A)
By AA, the 2 triangles are similar.
Topic: congruence and similarity
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
a candle is burning at a linear rate. The candle measures five inches two minutes after it was lit. It measures three inches eight minutes after it was lit. What was the original length of the candle?
Answer:
5 2/3 inches.
Step-by-step explanation:
8-2=6 minutes and 5-3=2 inches so it lost 2 inches in 6 minutes. This means it loses an inch every three minutes. Since we have to go back by 2 minutes we will have to figure out how much length we have to add to the candle to figure out how long it was originally by multiplying by 2/3 as 2 inches is 2/3 the required to remove an inch, so 1 inch * 2/3 = 2/3 of an inch. Add that to the length at two minutes and we have 5 2/3 inches as its original size.
Miguel used the graph below to represent a system of equations. On a coordinate plane, 2 lines will intersect at one point. Which statement is the best conclusion for Miguel’s system?
Answer b,since the lines will intersect at one point, this system has one solution:
Step-by-step explanation:
Took the test
Answer:
B
Step-by-step explanation:
Question in picture solve
Answer:
36
Step-by-step explanation:
You substitute 9 in for x so it would look like this 5(9)-9 then you solve and you get the solution of 36.
If you liked my answer then please make it the brainliest it would be much apprecited. Thanks!
What is 7505 divided by 11?
Answer:
7505÷11 = 682.27272727
Step-by-step explanation:
or you can just put a line over the 27
Answer:
682.27Step-by-step explanation:
7505÷11= 682.272727
50+30x=250+10x Help!!!!!
Answer:
x = 10
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define equation
50 + 30x = 250 + 10x
Step 2: Solve for x
Subtract 10x on both sides: 50 + 20x = 250Subtract 50 on both sides: 20x = 200Divide both sides by 20: x = 10Step 3: Check
Plug in x to verify it's a solution.
Substitute: 50 + 30(10) = 250 + 10(10)Multiply: 50 + 300 = 250 + 100Add: 350 = 350Mighty maids charges $35 to clean 6 rooms and $15 for each additional Determine the maximum number of rooms that can be cleaned for $80
Inequality:
Solution:
Answer:
Step-by-step explanation:
80-35= 45
45/15=3 so three more rooms are $15 a room
Total rooms are 9. The original 6 plus the additional 3.
80≥35+15x
45≥15x
3=x
Kate is organizing 585 video games into shipping boxes. Not all of the customers are ordering the same amount of videos, so not all of the boxes are going to be the same size. What are Kates options for the number of video games that can be put in each shipping box?
Answer:
1. So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.
2. Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.
3. Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.
Step-by-step explanation:
The prime factorization of 585 = 3² × 5 × 13.
So, the number of video games Kate can put in each shipping box are the different combinations of the prime factors. So, they are
1. 3² × 5 × 13 = 45 × 13 or 13 × 45.
So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.
2. 3² × 5 × 13 = 3² × 13 × 5 = 117 × 5 or 5 × 117
So, Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.
3. 3² × 5 × 13 = 3² × 13 × 5 = 9 × 65 or 65 × 9
So, Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.
#12, please help answer the question in the picture
Answer:
e.
Step-by-step explanation:
hope this helps
the sum of twice a number and three is 21
Answer:
9
Step-by-step explanation:
9+9+18
18+3=21
If Gabe's Soccer Ball Company is able, due to competitive pressure, to charge $60 for a new soccer ball, while one soccer ball costs $28 to make, plus $15,000 per month in overhead costs (mostly Gabe's extravagant salary) find: a. The average cost c(x) of producing each soccer ball b. Algebraically find the number of soccer balls Gabe's company must produce per month in order to break even (Profit = 0). Profit = Total Revenue – Total Cost c. Algebraically find the number of soccer balls Gabe's company must make to earn a profit of $10,000 per month. d. If Gabe took a pay cut to reduce the overhead costs to $8,000 per month, how many fewer balls would the company have to sell to break even. (There are multiple ways to get this result).
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Selling price= $60
Unitary variable cost= $28
Fixed costs= $15,000
First, we need to calculate the average total cost:
Average cost= total cost / number of units
For example, for 1 unit and 10,000 units:
1 unit:
Average cost= 15,028/1 = 15,028
10,000 units:
Average cost= (15,000 + 28*10,000) / 10,000
Average cost= $29.5
Now, we can calculate the break-even point in units:
0= (60*x) - (28*x) - 15,000
x= number of units to break-even
0= 32x - 15,000
15,000/32= x
468.75=x
break-even point in units= 469
For the desired profit of $10,000:
10,000 = (60*x) - (28*x) - 15,000
25,000= 32x
781.25= x
Break-even point= 782 units
Finally, fixed costs dropped by $8,000:
0= 32x - 7,000
x= 7,000/32
x= 218.75
Break-even point= 219
Difference= 250 units
Determine if the two triangles are congruent. If they are, state how you know.
1)
2)
A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form
Answer:
y = 5x + 4
Step-by-step explanation:
Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b
4 = 0 + b
4 = b
y = 5x + 4
to find the square root of a number do you divide by 2
-3^2=
Answer:
9
Step-by-step explanation:
(-3)²
(-3) × (-3) ∴ [ ( - ) × ( - ) = + ]
9
Thus, (-3)² = 9
-TheUnknownScientist
Help please, be sure your right.
Answer:
Step-by-step explanation:
System A and System B are not equivalent !!!
deandreh can work three math problems in five minutes . How long will it take him to work fifteen problem ? Plz show ur working out and thank u so much
Answer:
25 minutes
Step-by-step explanation:
Because 3 × 5 is 15 problems so multiple he 5 minutes by 5 and you get 25 minutes.
In right triangle ABC, angle C is a righ angle, AB=13, and BC=5 .what is the length of AC?
Answer:
12
Step-by-step explanation:
Since this is a right triangle you can you pythagorean theorem.
a^2+b^2=c^2
A= shortest side.
B=middle side.
C=longest/slanted side or hypotenuse.
So AB is the hypotenuse.
BC is the short side.
this means that AC is the middle side. Plug your numbers in.
25 + b^2 =169
b^2=144
b=12
AC=12
11) Jonsey is standing at a cliff that is 5ft above sea level. He dives into the water and descends to a depth 8ft below sea level. How far did he travel?
Answer:
13ft
Step-by-step explanation:
5ft + 8ft=13ft
Answer:
-13Ft
Step-by-step explanation:
help plss me ndfkfhfiklfjkfbufjriowxrkoek
UwU
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
We can use the rise over run method to do this question.
Let's start at the coordinates (1,1)
If we go down 2 from that point and to the right 3 times then we see another point on the line (3, -1).
We would express this as 2 over 3 or [tex]\frac{2}{3}[/tex].
We aren't done yet however.
The line is sloping downwards and this means that the slope is negative.
So, the final answer is [tex]-\frac{2}{3}[/tex]
I hope this helps!!
- Kay
solve the equation:
(p + 3)(1 - p)
Answer:
p²-2p+3
Step-by-step explanation:
(p + 3)(1 - p)
p-p²+3-3p
=p²-2p+3
Hope this helps :)
Two towns on a map are 2 1/4inches apart. The actual distance between the towns is 45 miles. Which of the following could be the scale on the map?
a. 1/2 inch : 10 miles b. 1 inch: 5 miles c. 1 inch : 20 miles
Answer:
A. 1/2 inch:10 miles
Step-by-step explanation:
1/2*4.5=2 1/4
10*4.5=45
Joseph is reading a 32 page book he read 6 pages in 15 minutes if he continues to read at the same rate how long will it take him to read the entire book
Answer:
80 minutesssssss
Answer:
(edit) your answer is 80 min
Step-by-step explanation:
first we can set this up as a proportion.
so it would be 15 over 6 and your other side would be x over 32
so when u cross multiple your equation would be 6x = 480
then you divide both sides by 6 and when you divide 480 by 6 u will get 80
Got the answer thanks
Answer:
Welcome
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
Step-by-step explanation:
I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:
[tex]c^{2} =a^{2} +b^{2}\\[/tex]
when adjusted to solve for the answer is
[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]
which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer
The sum of a number, n, and a number 5 larger than it is 41. Which of the following equations could be used
to solve for the number?
(1) +5n41
(3) 5(n+1) = 41
(2) +n+ 5-41
(4) 5n+n+1-41
Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Column EndMatrix x plus 2 y equals 8 nbsp 2 x plus 6 y equals 9 What is the inverse matrix?
Answer:
[tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]
Step-by-step explanation:
The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9
[tex]\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right][/tex]
To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.
[tex]A^{-1}[/tex] = (1 / determinant of A) x Adjoint of A
the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2
Adjoint of A = [tex]\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right][/tex]
[tex]A^{-1}[/tex]= [tex]\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]
I’m failing all my classes please help
Answer:
b
Step-by-step explanation:
Given ABC, m A= 60 degrees, m c=45 degrees, AB=8 Find the perimeter of ABC
Answer:113
Step-by-step explanation:
What is the equation of the line through the points (3, 2), (8, 5), (13, 8) and (18, 11)?
A. y= 5/3x- 1/3
B. y= 3/5x- 1/5
C. y= 5/3x+ 1/3
D. y= 3/5x+ 1/5
Answer:
Option D.) y = 3/5 + 1/5
Step-by-step explanation:
First, we find the Slope using the formula: m = y2 - y1/x2 - x1
You may choose any two points but I will use these two for no reason at all.)
Points: (3,2) and (8,5)
m = y2 - y1/x2 - x1
m = 5 - 2/8 - 3
m = 3/5
Now that we have the slope, we can now find the Slope Intercept Form by using the Slope Form Formula. (need at least one point and slope.)
Formula: y - y1 = m(x - x1)
Point: (3,2) (you may choose any point but I will choose this for no reason at all xD)
y - y1 = m(x - x1)
y - 2 = 3/5(x - 3)
y - 2 = 3/5x - 9/5
y - 2 = 3/5x - 9/5
y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)
y = 3/5 + 1/5
The final equation of the line can be written as -
y = (3/5)x + 1/5
What is the general equation of a straight line?
The general equation of a straight line is given by -
y = mx + c
Given is a line that passes through the points (3, 2), (8, 5), (13, 8) and (18, 11).
The line passes through the points (3, 2) and (8, 5). Therefore, the slope of the line will be -
m = (5 - 2)/(8 - 3) = 3/5
Now, consider the line : y = mx + c. For a point (3, 2) -
2 = (3/5) x 3 + c
2 = 9/5 + c
c = 2 - 1.8
c = 0.2
c = 1/5
Therefore, the final equation of the line can be written as -
y = (3/5)x + 1/5
To solve more questions on straight line, visit the link below-
https://brainly.com/question/21627259
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