1500 soldiers in a fort have provision for 48 days.After 13 days few soldiers join them and the food lasts 25 days how many soldiers join
Answers
Answer: This is a problem of inverse variation, where the number of days that the food lasts is inversely proportional to the number of soldiers in the fort. We can use the formula:
d = k / s
where d is the number of days, s is the number of soldiers, and k is a constant of proportionality. We can find the value of k by using the initial information:
48 = k / 1500 k = 48 * 1500 k = 72000
Now we can use the information after 13 days to find the new number of soldiers. Let x be the number of soldiers who joined the fort. Then we have:
25 = 72000 / (1500 + x) 25 * (1500 + x) = 72000 37500 + 25x = 72000 25x = 34500 x = 1380
Answer: The number of soldiers who joined the fort after 13 days is 1380.
Related Questions
How many roots does the function have?f(x)= x^6 + 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x +7A. 21B. 2C. 6D. 7
Darrel went to the mall and spent $41. He brought several t-shirts that act cost $12 and he brought 1 pair of socks for $5. How many t-shirts did Darel buy?
Round 14.857 to the nearest tenth
What is the degree of each monomial? 7m^6n^5A. 5 B. 11 C. 6 D. 7
B. y = 4x – 1
C. y + 1 = 4(x – 6)
D. y + 6 = 4(x – 1)
Answers
Answer:
The answer is the option A
Step-by-step explanation:
we know that
The equation of the line into slope-intercept form is equal to
where
m is the slope
b is the y-coordinate of the y-intercept of the line
In this problem we have
substitute the values in the equation and solve for b
The equation of the line is equal to
m= 4
y= 4x+b
solve for b using (6,-1)
-1 = 4 (-1)+b
b=3
therefore equation is y=4x+3
same as (y+1)=4(x-6)
21,150 km
21.15 · 104 km
2.115 · 105 km
Answers
The distance between Earth and its moons is 2.115 · 10⁵ km. Then the correct option is D.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Saturn’s rings span up to about (7.5 · 10⁻¹) of the distance between the Earth and its moons. If Saturn’s rings span up to (2.82 · 10⁵ kilometers).
The distance between Earth and its moons is calculated as,
⇒ 7.5 · 10⁻¹ x 2.82 · 10⁵
⇒ 0.75 x 2.82 · 10⁵
⇒ 2.115 · 10⁵ km
Thus, the correct option is D.
More about the Algebra link is given below.
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Length between the earth and the moon = (2.82×10^5)÷(7.5×10^-1) = 376000 = 3.76×10^5
i think this is correct hope it helps.
Answers
Answer:
Which mode of transmission of heat is shown in the given figure?Explain the mechanism of convection of heat.
4.117x10-29
Answers
The way that the number 4117 × 10⁻²⁹ can be shown on a calculator is; 4117 × 10⁻³²
How to write a number in standard form?
The standard form of a number is a way of writing the number in a form that follows certain rules.
Now, we can also write a number in scientific notation but then a calculator usually writes these types of number with exponent powers in standard form.
For example there is usually no decimal in standard form but instead whole numbers. Thus;
4.117 × 10⁻²⁹ when expressed again can be written as;
4117 × 10⁻²⁹ × 10⁻³ = 4117 × 10⁻³²
Read more about standard form at; brainly.com/question/19169731
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x + 2y = 14
x = -26, y = 20
x = 2, y = 6
x = 3, y = 5.5
x = 10, y = 2
Answers
Answer:
Option (b) is correct.
x = 2 and y = 6 is the solution to the given system of linear equation.
Step-by-step explanation:
Given: The system of linear equation
2x + 5y = 34
x + 2y = 14
We have to solve the given system of linear equations.
Consider the given system of linear equation
2x + 5y = 34 .....(1)
x + 2y = 14 .......(2)
We solve the syatem using elimination method,
Multiply equation (2) by 2, we get,
(2) ⇒ 2x + 4y = 28 .....(3)
Subtract equation (1) and (3) , we have,
2x + 5y - (2x + 4y) = 34 - 28
Simplify, we get,
y = 6
And put y = 6 in (2), we get,
x + 2(6) = 14
x = 14 - 12
x = 2
Thus, x = 2 and y = 6 is the solution to the given system of linear equation.
y=6
x=2
Answers
Answer:
is there a picture you could add i can answer the question more efficiently if you do.(bc i am aloud to edit my responce)thanks!
Step-by-step explanation:
Answer:
Step-by-step explanation:
PAT