Step-by-step explanation:
the lcm is 9 so....
3/9+8/9
multiply both sides by their lcm which is 9...
so....
9 (3/9)+9 (8/9)
3+8=11
How do you solve the following equation: n+2*0.5n+1
Answer:
[tex]n=-\frac{1}{2}[/tex]
Step-by-step explanation:
The order of operators is the next:
ParenthesisExponentsMultiplication and divisionAddition SubtractionSo the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).
[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]
Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest
helpppp me pleaseee
Answer:
C
Step-by-step explanation:
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
a) Solve the system by substitution.
y = 5x – 3
-X – 5y = -11
Answer:
Step-by-step explanation:
the answer 4x-5y +2 = 0. 5y =-4x-2. y = -4x/5 -2/5 slope = -4/5
Answer:
{y,x} = {2,1}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = 5x - 3
// Plug this in for variable y in equation [2]
[2] -5•(5x-3) - x = -11
[2] - 26x = -26
// Solve equation [2] for the variable x
[2] 26x = 26
[2] x = 1
// By now we know this much :
y = 5x-3
x = 1
// Use the x value to solve for y
y = 5(1)-3 = 2
If a number is multiplied by 2/5, the product is (great than, less than, or equal to,) the number
Answer:
less than
Step-by-step explanation:
it's a fraction, so it will be a fraction of the original number.
Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
what is 3x-4y= -24 answer
Answer:
The answer will be ( [tex]x=\frac{-24+4y}{3}[/tex] )
Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans, and
potatoes. His plan for the field layout in feet is shown in the figure below. Use the figure and your
knowledge of polynomials, perimeter and area to solve the following questions.
1. Write a polynomial expression that represents the area of the potato field.
2. Simplify a polynomial expression that represents the area of the potato field.
3. Explain why the calculated area would be useful to Farmer Bob.
The simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
From the diagram shown, we can see that the area of the potato field can be represented as a scaled factor of the area of the farm because they are both rectangular in nature.
Area of the potato field = length * width
Length = x^2 + 7x + 12
Width = x + 6
Substitute into the formula to get the required polynomial
Area of the potato field = (x^2 + 7x + 12)(x+6)
Area of the potato field = x^3+6x^2+7x^2+42x+12x+72
Area of the potato field = x^3 + 13x^2 + 54x + 72
Hence the simplified polynomial expression that represents the area of the potato field is x^3 + 13x^2 + 54x + 72
Learn more on polynomial expression here: https://brainly.com/question/21534285
blank as 9 hundred is 9 thousand
Answer:
x = 10
Step-by-step explanation:
x × 900 = 9000
=> 900x = 9000
=> x = 10
What is the
leasure of Z?
x
У
4.
9
Z=
=
= [?]V
Give your answer in simplest form.
Answer:
z = 3√13
Step-by-step explanation:
The length of z is the geometric mean of the segments of the longest side that share a common point with z. The shorter of those is 9; the longer one is 4+9 = 13. Then ...
z = √(9(13))
z = 3√13
__
Additional comment
In like fashion, ...
x = √(4(13)) = 2√13y = √(4·9) = 6.__
These relations come about because all of these right triangles are similar. That means their side lengths are proportional.
long side/hypotenuse = z/13 = 9/z ⇒ z = √(9·13)
short side/hypotenuse = x/13 = 4/x ⇒ x = √(4·13)
short side/long side = 4/y = y/9 ⇒ y = √(4·9)
You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger
!!!!!!!!5 step plan please!!!!!!!!
7.802 divided by 2.1
Answer:
3.715
Step-by-step explanation:
7.802/2.1 = 3.715
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
Solve for the unknown angle
Answer:
would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3
Step-by-step explanation:
The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
5.52
Step-by-step explanation:
1.68/1.4=1.2*4.6=5.52
Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?
I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!
Answer: $48
Step-by-step explanation:
132 - 84 = 48
Please help i attached a link below to the graph
Write the linear inequality shown in the graph. The gray area represents the shaded region.
y ≥ –x – 4
y ≥ –x + 4
y ≤ –x – 4
y ≤ –x + 4
Answer: y ≤ -y+4
Step-by-step explanation:
The line in the graph:
Taking two points, we can calculate the slope of the line. I'll pick (0,4) and (4,0)
Rise/Run (slope): Rise (0-4) = -4, Run = (4-0) = 4. Slope is -4/4 or -1.
The y-intercept is 4 (the value of y when x is zero).
The equation for the line is y = -x + 4. The shades area includes all points on and under this line, so y ≤ -y+4.
it costs $20 per day to board a dog and $16 per day to board a cat. The kennel needs to make at least $800 per day to cover expenses, but can hold no more than 80 total animals. Write a systems of inequalities, graph , and give two possible solutions to the number of dogs and cats they can board each day
Answer:
Step-by-step explanation:
the anwer is r=dog y=cat 20r+16y>800-->y>-5/4 r+50 20r-16y<r+80 40 dogs+20 cats 15+55 cats
A packet of Hobnobs claims to be 24% bigger!!
It now contains 31 biscuits. How many did it have before?
Answer:
25
Step-by-step explanation:
124% = 31
1% = 0.25
100% = 25 biscuits
...YUMMY!
Answer:
24
Step-by-step explanation:
Solve the system by substitution. x=-y-9 6x-5y=1
Answer:
x= -64, y= 55
Step-by-step explanation:
x=-y-9
6(y-9)-5y=1
6y-54-5y=1
y=55
x=-55-9
x=-64
Answer:
{x=-4
{x= -5
Step-by-step explanation:
Substitute into one of the equations:6(- y -9) - 5y=1
Apply Multiplicative Distribution Law:- 6y-54-5y=1
Rearrange unknown terms to the left side of the equation:-6y -5y = 1+54
Combine like terms:- 11y= 1+54
Calculate the sum or difference:-11y=55
Divide both sides of the equation by the coefficient of variable:y= 55÷(-11)
Remove the parentheses:y = -55÷11
Calculate the product or quotient:y=-5
Substitute into one of the equations:x=-(-5)-9
Remove the parentheses:x=5-9
Calculate the sum or difference:x=-4
The solution of the system is:{x=-4
{x=-5.
A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.
Answer:
A^2 + B^2 = C^2 for a right triangle
C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in
Find the area of the triangle.
8 in.
12 in.
in
?
The area of the triangle is
Answer:
48 in²
Step-by-step explanation:
Hello!
Area of a Triangle: [tex]A = \frac12 b*h[/tex]
Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.
Find the area[tex]A = \frac12 b*h[/tex][tex]A = \frac12 (8*12)[/tex][tex]A = \frac12 (96)[/tex][tex]A = 48[/tex]The area of the triangle is 48 in².
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]
[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\huge\textbf{Making it easier to solve:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{96}{2}}[/tex]
[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]
[tex]\mathsf{= \dfrac{48}{1}}[/tex]
[tex]\mathsf{= 48\div1}[/tex]
[tex]\mathsf{= 48}[/tex]
[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]
[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Solve pls brainliest
Answer:
Hi, the answer should be 8.1 dollars
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).
First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."
5x+4y=2
-5x -5x (subtract 5x from both sides to move it to the right side of your equation)
4y = 2 - 5x
/4 /4 /4 (divide all the terms by 4 to get "y" by itself)
y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.
Now, we know that our slope, m , is going to be -(5/4).
Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:
y = 5
m = -(5/4)
x = 7
y=mx+b
5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.
5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4
20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)
+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b
55/4 = b ... or b = 13.74
Answer:
m = -(5/4)
b = 13.75
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
The line passes through the points (5, -1) and (7, -5)
That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]
Calculate the slope(m) using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]
The equation of the new line perpendicular to the line above will be given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
Learn more here: https://brainly.com/question/17684243
Pleaseeee help please
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
6x=42
A: 7
B: 6
C: -7
D: 2
Help
what is rt5 x rt3
yeah do that plz
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.