Answer:
5/3
Step-by-step explanation:
The partners have a total profit of $2000. Since there are only 2 partners, then the average profit each one makes is $2000/2 = $1000.
The difference between the 2 amounts is half of the average, so it is $1000/2 = $500.
One amount is x.
The other amount is x + 500
The sum is 2000
x + x + 500 = 2000
2x + 500 = 2000
2x = 1500
x = 750
x + 500 = 750 + 500 = 1250
The partners had profit of $1250 and $750.
The ratio is 1250/750 = 125/75 = 5/3
Answer: 5/3
The ratio of the larger to the smaller amount will be 5 : 3
What are ratios?
A ratio says how much of one thing there is compared to another thing. We can write the ratio as -
x : y
{x/y} = k
x = ky
[k] is called the scale factor.
Given is that two partners divide a profit of $2,000 so that's a difference between the two amounts is half of their average.
Assume that the amount with partner [1] is $[x] and with partner [2] is $[y]
. So, we can write according to the question as -
x + y = 2000 ......Eq [1]
x - y = {1/2 x (x + y)/2} ......Eq [2]
Now -
x - y = {1/2 x (2000/2)}
x - y = {1/2 x 1000}
x - y = 500
x = 500 + y
So, we can write the equation [1] as -
x + y = 2000
500 + y + y = 2000
2y = 1500
y = 750
So, [x] will be equivalent to -
x = 2000 - 750
x = 1250
The ratio of the larger to the smaller amount will be -
x/y = 1250/750 = 250/150 = 50/30 = 5/3
Therefore, the ratio of the larger to the smaller amount will be 5 : 3.
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In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.
Answer: J = 20.1
Step-by-step explanation:
sin J = hypotenuse/opposite = 11/32
Sin J =11/32
J=sin-1(11/32)
J= 20.1055
NEED HELP WHAT IS THE SLOPE!!
Answer:2/3
Step-by-step explanation:
Slope is 2/3
Find the perimeter of the triangle NET
Mr. Hamstra’s car holds 14/25 gallons of gas and averages 20 miles per gallon. About how far can Mr. Hamstra travel when his tank is 14 full?
How do you write 133/50 as a percentage?
Answer:
266%
Step-by-step explanation:
133/50 =
2 33/50 =
266 %
Hope that helps!
Answer:
lol 266%
Step-by-step explanation:
hope this helps!
okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.
Answer:
A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.
Step-by-step explanation:
equation of circle is
(X-center_X)^2 + (y-center_Y)^2 = r^2
==> (x+3)^2 + (y-2)^2 = r^2
Now it passes 1,5 so
4^2+3^2 = 5^2
==> r = 5
when x = -7
y = -1 or 5
Solve for x. Enter your answer in interval
notation using grouping symbols.
x2 + x < 20
Answer:
x<18
Step-by-step explanation:
2+x<20
Answer:
(-5, 4)
Step-by-step explanation:
x^2 + x < 20 can be rewritten as a quadratic in standard form: x^2 + x - 20 < 0. Recognize that the graph of x^2 + x - 20 is that of a parabola that opens up. Because the y-intercept (0, -20) is below the x-axis, we know for certain tht the graph intersects the x-axis in two places. Our job is to determine the two horizontal intercepts, which in turn determine the solution set.
x^2 + x - 20 = 0 factors as follows: (x + 5)(x - 4) = 0, whose roots are -5 and 4.
These two roots form 3 intervals: (-infinity, -5), (-5, 4) and (4, infinity). We now must identify on which intervals x^2 + x - 20 is less than 0 (that is, on which intervals the graph is below the x-axis). Choose three test values for x: the first could be -6 (which is in the set (-infinity, -5) ); x^2 + x - 20 is + there, and so the graph is above the x-axis and x^2 + x - 20 is positive. Reject this.
Next, test x = 0; x^2 + x - 20 is negative there, meaning that x^2 + x - 20 < 0 and that x^2 + x < 20. Thus, the solution is (-5, 4). It can be shown that x^2 + x - 20 is positive again for x-values within the interval (4, infinity).
Evaluating
Solve for y: y+6=5(x-4)
Answer:
Step-by-step explanation:
y+ 6= 5(x-4)
y + 6= 5x-20
-6 . -6
----------------
y= 5x-26
i need help
38 = 15 + n
Answer:
n=23
Step-by-step explanation:
38=15+n
step 1 subtract each side by 15
23=n
n is equal to 23
hope this helps :)
Answer:
n=23
Step-by-step explanation:
38-15=23 you gotta subtract
combine these radicals -12√12-2√3
-50√3
-22√3
-26√3
-10√12
Answer:
[tex] - 26 \sqrt{3} [/tex]
I'm sure about the answer.
helppppp pleaseeeee im giving 15 for this ;^;
im in dire need for multiple questions. this is 2/5
Answer:
C
Step-by-step explanation:
when it asks for the zeroes its asking for when the equation passes the x=0 and it passes x=0 at (0,-3) and (0,1) so the answer is c
hope this helps (:
in parallelogram ABCD, AB= x, BC= x+y, CD= y-x and AD= 15. solve for x and y
Answer:
I think 29
I don't know if it's right
Gaste el 60% de lo que no gasté: del resto perdí el 40% de lo que no perdí. De lo que me quedaba no ahorré 50% más de lo que ahorré. Si lo que ahorré es de S/. 70: ¿Cuánto tenia al principio?
A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?
Answer:
100%
Step-by-step explanation:
Let p = percent of cashews in first mix
2p = lb. of cashews in first mix
30(.20) = 6 = lb. of cashews in second mix
32(.25) = 8 = lb. of cashews in the combined mix
So,
lb. of cashews in first mix + lb. of cashews in second mix = lb. of cashews in the combined mix
2p + 6 = 8
2p = 2
p = 1 = 100%
Answer:
100%
Step-by-step explanation:
I solved it and it was correct lol
Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.
Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?
Answer:
(4s+7a) 376=2080
Step-by-step explanation:
(4s+7a) 376=2080
Which of the following best represents the dependent quantities in the graph below?
A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50
Answer:
C
Step-by-step explanation:
Dependent quantity = y-value
20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex] \frac{8\pi}{5}[/tex]
Step-by-step explanation:
Since this is a degree we going to use the arc length formula
[tex]2\pi \times( r)( \frac{x}{360)} [/tex]
where x is the central angle measure and r is the radius.
The radius is 6 and the central angle is 48 so let plug that in the formula
[tex]2\pi \times (6)( \frac{48}{360} )[/tex]
Multiply 2 pi by 6
[tex]12\pi \times ( \frac{48}{360} )[/tex]
[tex]12\pi \times \frac{4}{30} [/tex]
[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]
[tex] \frac{8\pi}{5} [/tex]
What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.
Correct method to factor this expression are:
Factor by grouping.
Factor out the GCF.
What is factorization?A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.
The equation becomes:
= 4x² - 26x + 30
= 2 (2x² - 13x + 15)
= 2 (2x² - 10x - 3x + 15)
= 2 {2x (x - 5) - 3 (x - 5)}
= 2 (2x - 3) (x - 5)
Thus, the two methods are the best choices to factor this express are:
Factor by grouping.
Factor out the GCF.
To know more about factor refer to:
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What is the missing term?
-4.-12.x
12.-4 .
2x
?
2.2
3х
+1
Answer:
Step-by-step explanation:
The question is not displaying correctly.
4x·3x = 12x²
plsssss help its easy!!!!!
(one question)
wrong answer for points=banned
Answer:
First that's a quiz. Lol
Step-by-step explanation:
It is the 2'nd answer.
Your Welcome.
PLS HELP AND FAST!!! also it needs to be simplified!!
Answer:
I think it's B because the bigger numbers stay the same an u subtract the smaller numbers
What is the value of the expression 9+n/3-6 when n is 12?
Answer:
7
9+12/3-6
12/3=4
9+4-6
9+4=13
13-6=(7)
Step-by-step explanation:
y=x+5
4x+y=20
show work
Answer:
(3,8)
Step-by-step explanation:
Step-by-step explanation:
put value of y in equation 2
4x + (x + 5) =20
open the brackets
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/3
x = 5
putting value of x in y we get
y = 10
GOOD LUCK FOR THE FUTURE! :)
5 5
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
Step-by-step explanation:
Suppose the cost of each t-shirt is x
and the cost of each hat is y
according to question
[tex]\Rightarrow 2x+3y=12\quad \ldots(i)\\\Rightarrow 5x+4y=23\quad \ldots(ii)\\\text{solving (i) and (ii) we get}[/tex]
[tex]x=3\ \text{and}\ y=2[/tex]
So, the cost of a t-shirt is £3
the cost of a hat is £2
Solve
2/3 feet = _____ inches
Answer:
8 Inches
Step-by-step explanation:
multiply the length value by 4
please help ._. i’ll give brainliest-
Answer:
it equals .85 hope this helps!
Step-by-step explanation:
Write the equation in Point-Slope Form given the Slope is 5 and passes through the Point (-2, 10).
Answer:
y-10=5(x+2)
Step-by-step explanation:
y-y1=m(x-x1)
y-10=5(x-(-2))
y-10=5(x+2)
Answer:
y - 10 = 5(x + 2)Step-by-step explanation:
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = 5
x₁ = -2
y₁ = 10
Therefore the equation:
y - 10 = 5(x + 2)I WILL GIBE BRAINLEST
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24
Answer:
2:6
Step-by-step explanation:
I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6
(29 points!!!)Enter the correct answer.
in the rectangle ABCD, BD =96. What is the length of ED?
Diagram not drawn to scale.
Numeric answer only Do NOT include units (degrees, inches, feet, etc).
Answer:
48
Step-by-step explanation:
Do 96/2=48
Solve problem using substitution
a = 3b + 1
5b - 2a = 1
