If there were enough food for 48 soldiers for 7 weeks, and 8 more soldiers join the camp, the same food will be sufficient for approximately 5.25 weeks.
To find out how long the same food will last for the increased number of soldiers, we can set up a proportion. The number of soldiers is directly proportional to the number of weeks the food will last.
Let's assume that x represents the number of weeks the food will last for the increased number of soldiers.
The proportion can be set up as:
48 soldiers / 7 weeks = (48 + 8) soldiers / x weeks
Cross-multiplying the proportion, we get:
48 * x = 55 * 7
Simplifying the equation, we have:
48x = 385
Dividing both sides of the equation by 48, we get:
x = 385 / 48 ≈ 8.02
Therefore, the same food will be sufficient for approximately 8.02 weeks. Since we cannot have a fraction of a week, we can round it to the nearest whole number. Thus, the food will be sufficient for approximately 8 weeks.
Learn more about proportion here:
https://brainly.com/question/31548894
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Enter the number that belongs in the green box
Equilateral triangles are triangles whose all sides and angles are equal.
Since the above given triangle has 3 equal sides it is an equilateral triangle.
So, the three angles of this triangle can be 3x.
Which means :
[tex] =\tt 3x = 180[/tex]
[tex] =\tt x = \frac{180}{3} [/tex]
[tex]\hookrightarrow \tt \color{plum}x = 60°[/tex]
▪︎Therefore, x = 60°
Mike earned $150 by selling 75 boxes of cookies to his neighbors using the same rate for the cost of one box of cookies how many more boxes of cookies would mike need to sell to earn, show your work!
Answer:
to earn what
Step-by-step explanation:
Answer:
2 boxes of cookies
Step-by-step explanation:
It would be $150/75 which equals 2.
Which value of x would make FG || BC?
с
В
х+ 3
ОООО
х+6
6
G
F
X-1
х+1
A
Answer:
9Step-by-step explanation:
Find the diagram attached
Using the similarity theorem
A F/F B = AG/GC
x+1/x+6 = x-1/x+3
Cross multiply
(x-1)(x+6) = (x+1)(x+3)
Expand
x²+6x-x-6 = x²+x+3x+3
5x - 6 = 4x+3
5x-4x = 3+6
x = 9
Hence the value of x is 9
2-2 and its reciprocal
Answer:
2^-2= 4^-1 =1\4
1\4=4
so I hope you get to it
3x + 80 = 12x - 1
what’s the value of x ?
Answer:
9
Step-by-step explanation:
3x+80=12x-1
80=12x-3x-1
80=9x-1
9x=80+1
9x=81
x=81/9
x=9
I need help ASAP THIS IT TIMED!!
Answer:
yeah its probably done well
Step-by-step explanation:
What is W(x) = 3/5x + 2
Answer:
W(x)=3/5x+2
W(1)=3/5(1)+2
w(1)=13/5
꧁꧂
W(2)= 3/5×(2)+2
W(2)=3/10+2
W(2)=23/10
꧁꧂
W(3)=3/5×(3)+2
W(3)= 7
Please help me I am struggling I’m only 11
Answer:
-1/3(b+21)
Step-by-step explanation:
Answer:
Hope this helps, thank you !!
Factor the expression: 12x + 16
Answer:
12x+16
~Grouping~
12+16
4(3+4)
~Solution~
4(3+4)
Step-by-step explanation:
Hope that helps!!! :)
Answer:
Step-by-step explanation:
All you can do with this is take out a common factor of 4
12x / 4 = 3x
16 / 4 = 4
So the answer is
4 (3x + 4)
-2/9 + (-4/5) i need help please
Answer:
-46/45
Step-by-step explanation:
-2/9 + (-4/5)
can be re-written as
-2/9 - 4/5
which equals -46/45
if they want you to answer in decimal form, it will be -1.02
Which equation below can you use to solve for the width, w, of this rectangle?
A=2w + 2(w-2.3) =53
B=2(2w) + 2.3w = 53
C=2w + 2 (w+2.3) = 53
D=2w + 2w + 2.3
Answer:
w=2Step-by-step explanation:
Cement costs $76 per cubic yard. What is the cost of cement for a sidewalk that is 4 in. Thick, 3ft wide,and 40 ft. Long?
Answer:
112.46 yd³
Step-by-step explanation:
1 inch = 0.0278 yds
1 feet = 0.333 yd
Thickness = 4 inches = (4 * 0.0278) = 0.1112 yds
Width = 3 feets = (3 * 0.333) = 0.999 yds
Length = 40 feets = (40 * 0.333) = 13.32 yds
Volume of sidewalk :
Thickness * Width * Length
0.1112 * 0.999 * 13.32 = 1.479702816 yd³
1 yd³ of cement = $76
Cost :
1.479702816 yd³ * $76
= 112.457414016
= 112.46 yd³
You have 8 names of people on a list. If you randomly chose pairs of two's, how many potential pairs are there?
Answer:
56
Step-by-step explanation:
Because there are 8 names and when you choose a name there are 7 people that can be a pair so 7*8=56
What is the circumference of a circle with a radius of 3 inches? Use 3.14 for Tr.
A. 9.42 cm
B. 18.84 cm
C. 113.04 cm
D. 28.26 cm
21-8x-4+9x please step by step
Answer:
=x+17
Step-by-step explanation:
happy to help ya :)
-8x+9x=1x
21--4=21+4
21+4=25
Answer-->25
If x and y vary directly and x=25 when y=100 find x when y=24.
PLEASE HELP FASTTTTTTT
Answer:
x = 6
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 25 when y = 100 , then
100 = 25k ( divide both sides by 25 )
4 = k
y = 4x ← equation of variation
When y = 24 , then
24 = 4x ( divide both sides by 4 )
6 = x
Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100
Answer:
[tex]\frac{1}{4} = 2^{-2}[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Step-by-step explanation:
The question is poorly formatted. However, I am able to get:
1. 1/4 and 2. 1/100
Required
Write as an expression of negative expression
1. 1/4.
Express 4 as 2^2
[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]
Apply
law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{4} = 2^{-2}[/tex]
2. 1/100.
Express 100 as 4^2
[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]
Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]
[tex]\frac{1}{100} = 10^{-2}[/tex]
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the basement is 2 3 its length. What is the length of Louis's basement?
Answer: 42 feet
Step-by-step explanation:
Let the length be x
Therefore, width = 2/3x
Area = Length × Width
Therefore, x × 2/3x = 1176
2/3x² = 1176
Divide both side by 2/3
x² = 1176 ÷ 2/3
x² = 1176 × 3/2
x² = 1764
x = ✓1764
x = 42
The length is 42 feet
A culture started with 2,000 bacteria. After 2
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P= Aekt
Answer:
14,000
Step-by-step explanation:
if wrong i'm sorry
Angle A and angle B are supplementary angles. If the measure of angle A = (3x - 12) and the measure of angle B = (4x - 25), find the measure of angle B.
Answer:
what is x so I can help you.
Please help quick will give brainliest!
Answer:
There is a vertical asymptote at x = 4 because lim g(x) = ∝ and lim g(x) = -∝
If you answer correctly I will give you brainlest 5 stars and a thank you
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a
new game similar to baseball that had four extra bases in the field, what type of polygon would
the bases form?
Apentagon
Boctagon
Chexagon
Ddecagon
someone please help.
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Factorisation.
Since here both are the roots of the quadratic equation in the factor form, hence
equate them to zero, to get the value of x
hence,
2x-9 = 0
===> x = 9/2
and
3x+5=0
===> x = -5/3
Answer: ............
Step-by-step explanation:
can someone help pls 10 points
Answer:
A. 4x - 6 = -3x + 5
Step-by-step explanation:
you just have to take the first equation and substitute that in, in the second equation.
hope that helps. have a good day!
Please help me!! There is 2 answer!!
solve the equation
[tex]6 - 2x = 3x[/tex]
Tell whether the ordered pair is a solution of the system of equations. Y=3x-3 Y=-x+5 (3,6)
9514 1404 393
Answer:
not a solution
Step-by-step explanation:
The given pair does not satisfy the second equation.
y = -x + 5
6 = -3 + 5 . . . . . . . . false for (x, y) = (3, 6)
The ordered pair is not a solution to the system of equations.
Please Help!!!!!!!!!!!!! Will Give Brainliest
Answer:
sum of all angles =180
15° + 25° +(39+x) =180°
40° + 39 +x = 180
79° +x =180
x = 180 - 79
x. = 101
complete angel = 39 +x
= 39 + 101
= 140
-4(x+6)+2(x-2) please help!
Answer:
−2x−28
Step-by-step explanation:
Distribute:
=(−4)(x)+(−4)(6)+(2)(x)+(2)(−2)
=−4x+−24+2x+−4
Combine Like Terms:
=−4x+−24+2x+−4
=(−4x+2x)+(−24+−4)
= −2x - 28
I think I have the answer but, I really need help with the steps!
Answer:
simplify to:
6-32768/-60
simplify more
-32762/-60
take away the negatives
32762/60
simplify the fraction
16381/30
keep going till you get the answer