Can someone assist me with this?
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y \:} [/tex]
Find the ratio of x to y.
Answer:
29: 7
Step-by-step explanation:
[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]
Cross multiply:
[tex]8(x + 3y) = 5(3x - y)[/tex]
Expand bracket:
[tex]8x + 24y = 15x - 5y[/tex]
Bring x terms to 1 side, y terms to the other:
[tex]15x - 8x = 24y + 5y[/tex]
Simplify:
[tex]7x = 29y[/tex]
Divide by 7 on both sides:
[tex]x = \frac{29}{7} y[/tex]
Divide both sides by y:
[tex] \frac{x}{y} = \frac{29}{7} [/tex]
∴ The ratio of x to y is 29:7.
what are the new coordinates called after translating an image? PLSSSS HELP
Answer:
Add image pls ill go check ur prf once you add it with the pic just tell me when you do it if you can.
Which of these numbers is equivalent to 22/3
?
A. 0.136
B. 0.136 Repeating
C. 7.3
D. 7.3 repeating
Answer:7.3333333333
Step-by-step explanation:
17.If -4 is zero of the polynomial p(x) = x2
-x-(2k+2) then k =
a) 2 b) 9 c) 3 d) -1
Pls.Answer fast guys thanks!
Answer:
d) -1
hope it help
Daniel works at a nearby electronics store. He makes a commission of 15%, percent on everything he sells. If he sells a laptop for $293, how much money does Daniel make in commission?
Answer:
Commission earned= $43.95
Step-by-step explanation:
Giving the following information:
Commission rate= 15% = 0.15
Sales= $293
To calculate the commission earned by selling the laptop, we need to use the following formula:
Commission earned= commission rate*sales
Commission earned= 0.15*293
Commission earned= $43.95
What is the answer to this multi step equation 3(x-4)=2(-2x+1)
Answer:
2
Step-by-step explanation:
3(x-4)=2(-2x+1)
3x-12=-4x+2
3x-(-4x)-12=2
3x+4x=2+12
7x=14
x=14/7
x=2
Each week for 6 weeks, Ezra bought 2 DVDs: a reduced price DVD for $5.50 and a regular price DVD for $9.00. Select all the expressions that represent the total amount he spent on DVDs
Answer:
Total amount spend on DVD = $87
Step-by-step explanation:
Given:
Total number of week = 6 week
Number of DVD purchase per week = 2
Cost of reduced price DVD = $5.50
Cost of regular price DVD = $9
Find:
Total amount spend on DVD
Computation:
Total amount spend each week = Cost of 1 reduced price DVD + Cost of 1 regular price DVD
Total amount spend each week = 5.5 + 9
Total amount spend each week = $14.5
Total amount spend on DVD = Total number of week x Total amount spend each week
Total amount spend on DVD = 6 x 14.5
Total amount spend on DVD = $87
can someone help me figure out this please ASAP!!!!!
Answer:
Formula: SA= 2B+Ph
This might not be an exact answer but it makes it easier
Guys pls help me!!!!!
Answer:
1 ten and 5 ones
Step-by-step explanation:
Find an equation of the circle that has center (-6, 6) and passes through (3,-4)
Answer:
(x+6)² + (y-6)² = 181
Step-by-step explanation:
equation of the circle in general is (x - a)² + (y - b)² = r²
center is (a, b) in our task a=-6 b=6
so equation of the circle is (x+6)² + (y-6)² = r²
we have point (3,-4) ⇒ x=3 y=-4
put x y in equation of the circle ⇒ (3+6)² + (-4-6)² = r² ⇒r² =181
⇒The equation of a circle is (x+6)² + (y-6)² = 181
Answer:
x²+ y² - 109 = 0
Step-by-step explanation:
The coordinate of centre of circle = (-6 , 6)
Point through which it passes = (3 , -4)
So , Firstly find the distance between the centre and that point that will be equal to the radius . Using Distance Formula we have ,
⇒ D = √ [ ( x - x' )² + ( y + y')² ]
⇒ D = √ [ (3+6)² + (6+4)² ]
⇒ D = √ [ 9² + 10² ]
⇒ D = √ [ 81 + 100 ]
⇒ D = √ 181
⇒ D = 13.45 .
Now substituting the respective values in the general equation of circle .
⇒ ( x - h)² + (y - k)² = r²
Where (h,k) is the centre and r is the radius.⇒ { x - (-6) }² + { y - (6) }² = (13.45)²
⇒ ( x + 6 )² + ( y - 6)² = 13.45²
⇒ x² + 36 + 12x + y² + 36 -12x = 181
⇒ x² + y² + 72 = 181
⇒ x² + y² + 72 - 181 = 0
⇒ x² + y² - 109 = 0
Therefore the equation of the circle is x² + y² - 109 = 0 .On Friday, Calvin ate a dinner of one serving of turkey, one cup of brown rice, a cup of milk, a large carrot, and a large banana. How many grams of protein did he eat during dinner? How many milligrams of sodium did he eat during dinner?
Answer:
20.5g in protein
427.55mg in sodium
Step-by-step explanation:
Add the amount or proteins he ate first for all the food he ate, and then the sodium for the food and there is your answer.
Ashley fills the container with sugar using a bowl. The bowl hold 1/3 cups of sugar. Ashley uses 6 bowls to fill the container. How many cups of sugar does the container hold?
Answer:
1 bowl = 1/3 cups
6 bowls = (1/3) * 6
= 2 cups
So, the container hold 2 cups of sugar
Step-by-step explanation:
what is the difference between an irrational number and a rational number
Answer:
Rational numbers are the numbers which are integers and fractions
Irrational numbers are the numbers whose expression as a fraction is not possible.
Step-by-step explanation:
Answer:
Rational is with fractions
Irrational is with expressions
Step-by-step explanation:
6(x + 3) - (x + 4) = -11
Answer: x=-5
Step-by-step explanation:
Distribute
6(x+3)-1(x+4)=-11
6x+ 18-1(x+4)=-11
6x +18-x-4=-11
Subtract the numbers
6x +18-x-4=-11
6x +14-x=-11
Combine like terms
6x +14-x=-11
5x +14=-11
subtract 14 from both sides of the equation
5x +14=-11
5x +=14-14 = -11 -14
simplify
5x=-25
divide both sides
x=-5
help pleaseeeeeeeeeeeeee !
Karen has a square rug that covers 76.5^{2} of her living room floor. Which measurement is closest to the side length of thes rug in feet?
Answer:
76.5
Step-by-step explanation:
if the area is 76.5^2, then all you have to do is take the square root, and it is 76.5
i need the work for this answer but its blocked for me
Answer:
Sorry it doesn't look like you attached any link for this.
WILL GIBE BRAINLEST
Which figures are polygons?
Select each correct answer.
Figure A
Figure B
Figure C
Figure D
What can you say about the end behavior of the function f(x) = -4x^6 +6x^2-52?
The true statement about the end behavior of f(x) is (b)
How to determine the end behavior?The equation of the function is given as;
f(x) = -4x^6 +6x^2-52
The leading coefficient of the above function is
Leading coefficient = -4
-4 is less than 0 i.e. negative
This means that options (a) and (c) are false
Also;
The ends of even functions face the same direction, and not opposite directions.
Hence, the true statement about the end behavior of f(x) is (b)
Read more about end behaviors at:
https://brainly.com/question/1365136
#SPJ9
i need help finding DE. I do not know what do to. Please help any tips will be appreciated:))
Given:
In triangle ABC, [tex]AB=11x-25,DE=4x+1[/tex].
To find:
The measure of DE.
Solution:
From the given figure, it is clear that D is the midpoint of AC and E is the midpoint of BC. So, the line segment DE is the mid-segment of the triangle ABC.
According to the triangle mid-segment theorem, mid-segment of a triangle is equal to half of its base.
Using triangle mid-segment theorem, we get
[tex]DE=\dfrac{1}{2}AB[/tex]
[tex](4x+1)=\dfrac{1}{2}(11x-25)[/tex]
[tex]2(4x+1)=11x-25[/tex]
[tex]8x+2=11x-25[/tex]
Isolate the variable terms.
[tex]8x-11x=-2-25[/tex]
[tex]-3x=-27[/tex]
[tex]x=\dfrac{-27}{-3}[/tex]
[tex]x=9[/tex]
The value of x is 9. So,
[tex]DE=4x+1[/tex]
[tex]DE=4(9)+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=36+1[/tex]
[tex]DE=37[/tex]
Therefore, the length of DE is 37 units.
The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
asap besties
we know that
when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them
so
15%=15/100------> 0.15
$63*0.15=$9.45
the answer is
$9.45
Evaluate each using the values given q+q-r(p-q ), use p= -9. q = -4, and r= 9
Answer:
37
Step-by-step explanation:
q + q - r (p - q)
-4 + (-4) - 9[-9 - (-4)]
-8 - 9 (-5)
-8 + 45
37
Help I’m struggling so much in math
Que es una equacion de primer grado?
Answer:
Step-by-step explanation:
ax+b = 0
Mrs. Matthews is 24 years old and her daughter Nina is 6 years old. How old will Nina be when she is half as old as her mother?
Answer:
Nina will be 18 years old when she is half as old as her mother.
Step-by-step explanation:
With the information provided, you can write an equation that indicates that Mrs. Matthews current age plus x which would be the number of years until Nina will be half as old as her mother would be equal to two times nina's age plus x, as you would have to multiply Nina's age at that time for 2 to be equal to her mother's age. The equation would be:
24+x=2(6+x)
Now, you can solve for x:
24+x=12+2x
24-12=2x-x
12=x
Finally, you have to add the value of x plus Nina's current age to determine her age when she is half as old as her mother:
12+6=18
Acording to this, the answer is that Nina will be 18 years old when she is half as old as her mother.
BKS at a piece of paper along as diagonal, as shown below, towing two tendes
How do the height and base length of the two triangles compare to the height and base length of the original piece of
paper?
The two dimensions are the same in the triangles as they were in the rectangle,
The two heights are the same in the triangles as they were in the rectangle, but the bases of the triangles are half
the length of the base of the rectangle.
The two dimensions of the triangles are each half what they were in the rectangle.
its the second option because it is clearly shown and described on the screen
Calculate the value of the unknown angle
Answer:
80+2x=180°{co-interior angle}
2x=180-80
2x=100
x=50°
hope it helps.
Solve for X in the triangle
Answer:
x = 6√2
Step-by-step explanation:
This is a right triangle, specifically a 45-45-90 one. Using the Pythagorean Theorem, we get x^2 + x^2 = (12 cm)^2, or:
2x^2 = 144 cm^2, or
x^2 = 72 cm^2.
This comes out to x = 6√2
a circle has a diameter of 6.7 feet . which is the closest ??
Answer:
21.038 ft
Step-by-step explanation:
6.7x3.14=21.038
hope this helps
plz can i get brainliest:)
Answer:
if your looking for radius it would be 3.35 if your looking for surface area its 3.14(3.35)^2
Step-by-step explanation:
Use the net to find the surface area of the regular pyramid.
Answer:
40 in²
Step-by-step explanation:
There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².
4(base) x 3(height) ÷ 2 = 6
Multiply 6 by 4 because there are four triangles, which is 24.
Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.
4 x 4 = 16
If you add 16 and 24 together, that's your answer.
Answer:
40
(its right i did this)