Answer:
50.87 : 66.13.
Step-by-step explanation:
10/(10+13) * 117
= 10 * 117 / 23
= 50.87.
117 - 50.87 = 66.13.
When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13
Then, we get two equations as:
[tex]x + y = 117[/tex]
[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]
From the second equation, we get x in terms of y as:
[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]
Putting this value of x in first equation, we get:
[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)
And therefore, from the expression for x, we get:
[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)
Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
Learn more about ratio here:
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what is the least common denominator of 3/1+8/4
Answer:
4355646
Step-by-step explanation:
45345
Answer:
least common denominator is 4
Step-by-step explanation:
3/1+8/4=20/4 which is 5
If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one-litre jar?
10 hours
1,000 hours
1 hour
100 hours
Answer:
100 hours
Step-by-step explanation:
To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.
What single decimal multiplier would you use to increase by 9% followed by a 6% decrease?
Answer:
0.9646
Step-by-step explanation:
:)
What do the graphs of these two functions have
in common?
(picture included)
Find the volume of a right circular cone that has a height of 19.4 cm and a base with a diameter of 9.9 cm. Round your answer to the nearest tenth of a cubic centimeter.
Answer:
V = 497.8 cm^3
Step-by-step explanation:
Thats Righttt
The volume of the cone is 1592.6 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The right circular cone's vertex is immediately above the base's centre. The line connecting the vertex with the centre point of the base is perpendicular to the cone's radius. A cone, on the other hand, can have its vertex anywhere.
Given that, a right circular cone with the height of 19.4 cm and a base with a diameter of 9.9 cm. we need to find the volume,
Volume of cone = 1/3 × π × radius² × height
= 1/3 × 3.14 × (9.9/2)² × 19.4
= 1592.6 cm³
Hence, the volume of the cone is 1592.6 cm³
Learn more about volume, click;
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Look at the drawing of a triangle within a rectangle. The
triangle and the rectangle have the same base, b, and
height, h.
If the area of the triangle is 48 square units, what is the
total area of sections 1 and 2?
square units
) Intro
Answer:
48 square. Units
Step-by-step explanation:
Given that :
Triangle and rectangle have the same base, b and height, h
AREA of triangle = 0.5 * base * height
48 = 0.5 bh
bh = 0.5 * 48
bh = 96
Total area of section 1 & 2 :
bh = area of triangle + x
X = bh - area of triangle
X = 96 - 48
Area of se tion 1&2 = 48
Independent Practice
Now practice solving some problems.
Which number is a solution of the inequality ?
[tex]\frac{4-m}{m}[/tex][tex]\geq[/tex]5
IT'S NOT A. 2
A.
2
B.
0.75
C.
–4
D.
0.5
Answer:
B
Step-by-step explanation:
Answer:
m ≤ 2/3 or m ≤ .67
Step-by-step explanation:
cross-multiply:
4 - m ≥ 5m
4 ≥ 6m
4/6 ≥ m or m ≤ 2/3
Nevada has the fastest growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population 2010 ? Apply the population growth formula N=Noe^rt
Answer:
32,322,237 million or 3.23million
Step-by-step explanation:
Nevada has the fastest-growing population according to the U.S. Census bureau. In 2004, the population of Nevada was 2.62 million and increasing at an annual rate of 3.5%. What is the expected population in 2010? Apply the population growth formula N=Noe^rt
Applying the formula given above
N=Noe^rt
No = 2.62 million
r = 3.5% = 0.035
t = 2010 - 2004 = 6 years
N = 2.62 × e^6 × 0.035
N = 3.2322365171 million
= 32,322,237 millon
Approximately = 3.23 millon
12. Find the value of c so that the line through the
points (0, 3) and (-1,0) is perpendicular to the
line through the points (c, 1) and (-2,3).
Step-by-step explanation:
hope thissss helpsss!!!!
Subtract. Use models if needed.
(-2x-1)-(x-7)=
Answer:
− 3 x + 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-2x-1)-(x-7)
removing bracktes
-2x-1-x+7
-3x+6
Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?
Answer:1.36%
Step-by-step explanation:
I just took the exam and my answer was correct.
PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!
Answer:
About -5.8 and -.2
Step-by-step explanation:
Zeros at -5.828 and -.172
1. Alyssa is twice as old as Brittany, and Jazmin is 15 years older than Alyssa. If Jazmin is 45 years old, how old is Brittany?
Write two algebraic equations, let represent Alyssa’s age in years and represent Brittany’s age in years.
Tysm if u do this <3
Answer:
Brittany is 15 years old
Step-by-step explanation:
The way we get the answer is by getting the age of Alyssa 45-15=30 as, Jazmin is 15 years older than Alyssa and then we can see that Alyssa is twice as old as Brittany so we divide Alyssa's age by two. 30÷2=15 and we get Brittany's age which is 15 years old.
find fgh this is geometry!
Answer:
m∠FGH = 79°Step-by-step explanation:
m∠FGH = 360° - 101° - 2×90° = 79°
Simplify :
(a+b)²
Thanks
Answer:
(a+b)(a+b)
=a^2 + ab + ab + b^2
=a^2 + 2ab + b^2
Answer:
(a+b)² = ( a +b ) (a + b )
= a² + b² + 2ab
please help for brainliest
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139
Answer:
841.6 ft
Step-by-step explanation:
Solve this using the quadratic formula.
y=-16x^2+212x+139 becomes -16x^2 + 212x + 139. The x-value of the axis of symmetry is
-212
x = ----------- = 6.625 (This time measurement is in seconds.)
2(-16)
The maximum height reached by the rocket is the y value when x = 6.625 and is y(6.625) = 841.6 ft
Solve for x.
8x-132
5x+8
Find P (Horse/Female) Hint: P(A and B)/P(B)
the answer is 6 at the top and 9 at the bottom but the answer for that question is 6.
Answer:
1/13
Step-by-step explanation:
Step 1: Find the number of horses and divide it by the number of females.
2 Horses / 26 Females
Step 2: Simplify the fraction.
1 Horse / 13 Females
Final Answer:
1/13
A chocolate bar cost 2 dirham. Alyazia spends 18dh on chocolate bars for her siblings. Write an equation to express how many chocolate bars she bought.
pllssss helpppp
Answer:
ok all you have to do is solve the equation
Answer:
A chocolate bar = 2 dirham
amount of money Alyazia spends = 18 dirhams
on chocolate bars for her siblings are
∴ the number of chocolates Alyazia are = 18/2 = 9
Alyazia bought 9 chocolates
hope this answer helps you.....
The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle of this quadrilateral?
Answer:
100°
Step-by-step explanation:
all four angles added together total 360°
x = 360° - 60° - 110° - 90°
x = 100°
Angles T and V are complementary. Angle T has a measure of (2x + 10)°. Angle V has a measure of 48°. What is the value of x?
Put these numbers in order, from least to greatest. If you get stuck, consider using the number line. with a picture
Answer:
Step-by-step explanation:
When we proceed from left to right on a number line, numbers get bigger.
That means (-5) on the given number is the least and 5 is the greatest.
By this rule, order of the numbers will be,
-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8
Now we can place these numbers on the number line as shown.
The side length of a triangle or 12.5 inch 4.4 inch and 11.72 which statement best describes the triangle formed using these
side lengths
Answer:
scalene
Step-by-step explanation:
12.5, 4.4, and 11.72 are all different measurements
i hope this helped
Manuel incorrectly claimed that the surface area of the cylinder
shown is about 621.7 in.. Use a formula to find the surface area of the cylinder.
Use 3.14 for it. What was his likely error?
11 in
The surface area of the cylinder is about
(Round to the nearest tenth as needed.)
Answer:
25.9%
Step-by-step explanation:
Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem
Let us assume the dimension of the cylinder be
radius= 3in
height= 5 in
The expression for the total surface area of a cylinder is
T. S. A. =2πrh+2πr^2
Let us plug in the values to to find TSA
T. S. A. =2×3.14×3×5+2×3.14×3^2
Solving we get
T. S. A. =94.26+56.556
T. S. A. =150.816 in^2
Now let us find the error
we know that error % is calculated as
%error= [actual value-expected value/expected value]×100
%error= [190 -150.816/150.816]×100
%error= [39.184/150.816]×100
%error= 0.259×100
%error= 25.9%
Write an
equation in slope-intercept form of the line that
passes through the given points: (-2, 4) & (3,-1).
Step-by-step explanation:
So our m = (4+1)/(3+2) = 1
4 = -2 + b
b = 6
y = x + 6
Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).
12, 17, 20, 8, 13
Answer:
18/5
Step-by-step explanation:
12+17+20+8+13 =70
70/5 = 14 which is the mean
the distances from the mean are
2 3 6 6 1
add them which is 18 then divide by 5 to find the mean
18/5
Identify the vertex f(x) = x2 + 16
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
p=9
Step-by-step explanation:
write an equation of the line passing through the point A(8,2) that is perpendicular to the line y=4x-7
Answer:
y - 2 = (-1/4)(x - 8)
Step-by-step explanation:
The slope of the given line is 4. The slope of any line perpendicular to the given line is the negative reciprocal of 4, which is -1/4.
Use the point-slope formula:
y - k = m(x - h), where (h, k) is the given point.
Then: y - 2 = (-1/4)(x - 8)
Share 480 into the ratio 9:7
Answer:
270 : 210
Step-by-step explanation:
total ratio
9 + 7 = 16
ratio 1
480 ÷ 16 =30
ratio 9
30 × 9 = 270
ratio 7
30 × 7 =210