Answer:
Hello,
10 days
Step-by-step explanation:
60 étudiants dans un foyer ont assez de nourriture pour 30 jours. Si 20 étudiants supplémentaires rejoignent l'auberge après 10 jours, combien de temps durera la nourriture restante ?
Let say A the quantity of food
60 students in a hostel have food enough for 30 days ==> A=k*60*30
==> k=A/1800
Let say x the duration of the food.
60 students for x days + 20 students for (x-10) days =A
[tex]k*60*x+k*20*(x-10)=A\\[/tex]
[tex]\dfrac{A*60*x}{1800} +\dfrac{A*20*(x-10)}{1800} =A\\\\60x+20x-200=1800\\\\80x=1600\\\\x=20\\[/tex]
Duration for the 80 students: 20-10=10days
What is the value of the expression: 4+42 +22
Answer:
84
Step-by-step explanation:
[tex]4^3+4^2+2^2= 64+16+4=84[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{4^3 + 4^2 + 2^2}}[/tex]
[tex]\huge\boxed{\mathsf{4^3}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 16\times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 64}}[/tex]
[tex]\huge\boxed{\mathsf{4^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 4 \times 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 16}}[/tex]
[tex]\huge\boxed{\mathsf{2^2}}[/tex]
[tex]\huge\boxed{\mathsf{= 2 \times 2}}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 64 + 16 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= 80 + 4}}[/tex]
[tex]\huge\boxed{\mathsf{= \bf 84}}[/tex]
[tex]\huge\boxed{\mathsf{Answer: 84}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
Find the medians of the following sets of data.
I) 23, 17, 36, 47, 42
Answer:
36 is the median of give data
If (x+2),3x and (4x+1)are in AP find the value of x
Answer:
x is 3
Step-by-step explanation:
[tex]{ \bf{U _{2} - U _{1} = U _{3} -U _{2} }}[/tex]
[tex]{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}[/tex]
Answer:
value of x is 6
Step-by-step explanation:
got it right on edgenuit
prove sin^2 π/6 + cos^2 π/3 - tan^2 π/4 = -1/2
=(
2
1
)
2
+(
2
1
)
2
−1
2
=
2
−1
Therefore, L.H.S = R.H.S
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is true?
A. The best questionnaires provide as many open-ended questions that contain multiple possible responses to enable respondents to be creative with answers.
B. Questionnaires must avoid the use of any multiple choice questions.
C. Questionnaires should contain no more than 3 questions to avoid respondents from becoming tired filling out the surveys.
D. Questions on questionnaires should be worded to enable respondents to provide specific answers.
Answer:
I think A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which expression represents the prime factorization of 243?
A ) 3×3×3×3×2
B ) 3×3×3×3×3
C ) 3×3×3×3×2×2
D ) 3×3×3×3×3×3
Answer: B) 3 × 3 × 3 × 3 × 3
Concept:
In factorization, the easiest way is to divide the term multiple times by the least factor each time until the answer is not divisible. Then, multiply all the factors and the remainder together to get the factorization of a term.
Solve:
243 ÷ 3 = 81
81 ÷ 3 = 27
27 ÷ 3 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
Therefore, the prime factorization of 243 = 3 × 3 × 3 × 3 × 3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B
Step-by-step explanation:
how could it not be??
46°
Х
>
X =
degrees
Hshshshsus
An exterior angle of a triangle is equal to the sum of its interior opposite angles.
⇛ x = 90° + 46°
⇛ x = 136°
8(-7+n)=-128 please help
Answer this question
Answer:
[tex]\huge\boxed{width=12cm}[/tex]
Step-by-step explanation:
[tex]l-length\\w-width\\P-perimeter[/tex]
The formula of perimeter of the rectangle:
[tex]P=2l+2w=2(l+w)[/tex]
Substitute:
[tex]l=6w\\\\P=168cm[/tex]
[tex]168=2(6w+w)\\168=2(7w)\\168=14w\qquad|\text{divide both sides by 14}\\\\\dfrac{168}{14}=\dfrac{14w}{14}\\\\12=w\Rightarrow w=12(cm)[/tex]
Answer:
Width of rectangle = 12 cm
Step-by-step explanation:
Let us assume that,
→ Length = 6x
→ Width = x
→ Perimeter = 168 cm
Perimeter of rectangle,
→ P = 2(L + W)
Forming the equation,
→ 168 = 2(6x + x)
Now the value of x will be,
→ 168 = 2(6x + x)
→ 2 × 7x = 168
→ 14x = 168
→ x = 168/14
→ [ x = 12 ]
Then the length and width is,
→ Length = 6x = 6(12) = 72 cm
→ Width = x = 12 cm
Hence, required width is 12 cm.
What is the period of y=sin x
Answer:
The period of y = sin(x) is 2π
The period of y = sin x would be equal to 2π.
The period of the function y = sin x refers to the length of one complete cycle of the graph of the sine function.
In this case, the period is calculated by the coefficient of x, which is 1.
For the function y = sin x, the period is 2π which means that the graph of y = sin x repeats itself every 2π units along the x-axis.
If the graph of y = sin x. Starting from the point (0,0), as x increases by 2π, then the y-values will repeat the same pattern. This repetition continues indefinitely as x increases or decreases.
Therefore, we can conclude that the period of y = sin x is 2π.
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Find all three distinct roots for X³ =1. (two of them are complex mumber). And show that sum of all roots is zero.
x ³ = 1
x ³ - 1 = 0
x ³ - 1³ = 0
Factorize the right side as a difference of cubes:
(x - 1) (x ² + x + 1) = 0
Then
x - 1 = 0 or x ² + x + 1 = 0
The first equation yields x = 1 as a root.
For the other equation, rearrange and complete the square to get the other two roots,
x ² + x + 1/4 = -3/4
(x + 1/2)² = -3/4
x + 1/2 = ±√(-3/4) = ± i √3/2
x = -1/2 ± i √3/2
x = (-1 ± i √3)/2
Since complex roots occurs in conjugate pairs, taking the sum of these two roots eliminates the imaginary part:
(-1 + i √3)/2 + (-1 - i √3)/2 = (-1 - 1)/2 = -2/2 = -1
and adding to 1 indeed shows that the sum of roots is zero.
On a unit circle, the terminal point of 0 is (square root of 2/2, square root of 2/2) what is 0?
Answer:
Step-by-step explanation:
0 should never be used as a substitute for θ!
(√2/2, √2/2) = (cos(45°), sin(45°))
The value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (√2/2, √2/2), is 45°.
What is a terminal point?The terminal point of a circle is defined as the measure of the angle in degrees or radians over the circle, at the endpoint on the coordinate plane.
On a unit circle, the terminal point of θ is,
(√2/2, √2/2) = (cos(45°), sin(45°))
The value of theta at the terminal point (square root of 2/2, square root of 2/2) is 45 degrees.
Thus, the value of θ if 0°< 0<360° on a unit circle where the terminal point of 0 is (square root of 2/2, square root of 2/2) is 45°.
Learn more about the terminal point here;
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Identify the equation of the circle that has its center at (7, -24) and passes through the origin.
Answer:
[tex](x-7)^{2}[/tex] + [tex](y+24)^{2}[/tex] = [tex]625[/tex]Step-by-step explanation:
Convert 7.5 gallons to quarts using a unit multiplier
Answer:
30 quarts
Step-by-step explanation:
4 quarts = 1 gallon
7.5 gallons * 4 quarts/ 1 gallon = 30 quarts
what is the equation in slope intercept form 3 y - 9= 12x please help fast
Answer:
Step-by-step explanation:
Slope intercept form is y = mx + b where m is the slope and b is the y intercept SO
y = mx + b
3y - 9 = 12x
3y = 12x + 9 (divide by common denominator 3)
y = 4x + 3
A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?
Answer: Radius is 21.2537 units, to 6 sig figs
Step-by-step explanation:
I'll assume the circumference is simply 133.541 units^2. Circumference (C) is C = 2*pi*R, where R is the radius. Thus, R = C/(2*pi),
R = (133.541/2*(3.14159) to 6 sig figs
R = 21.2537 units
I need help ASAP!! Please help me
Answer:
Step-by-step explanation:
Answer:
angle 1 = 80
angle 2 = 80
Step-by-step explanation:
in rhombus all sides are equal and also diagonals bisects each other
so
What is the cost of buying 5 kg of cheese worth
$9.00 per kg?
Cost of 1 kg = $9
So, cost of 5 kg = $9 × 5 = $45
1.a) express 64 in the form of 2^p
b)hence find the value of p when:
2^p= 1/64
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{1}{a^{m} }[/tex] ⇔ [tex]a^{-m}[/tex]
64 = [tex]2^{6}[/tex] , then
[tex]2^{p}[/tex] = [tex]\frac{1}{64}[/tex] = [tex]\frac{1}{2^{6} }[/tex] = [tex]2^{-6}[/tex]
Since the bases on both sides are equal, both 2, then equate exponents
p = - 6
The Perot Museum of Nature and Science in Dallas, Texas, offers a number of different membership levels for visitors. The Premium Membership is the most popular and costs $25 for each member for 1 month. Last month, 100 people purchased the Premium Membership. This month, 40 new people bought a membership and 15 people canceled
Answer:
$2875
Step-by-step explanation:
If the member ship costs 25 a month multiply it by 100 to find the amount of money made last month so 100*25=2500 to find the new amount take 100 add 40 and subtract 15 to find the number of people subscribed which is 115 multiply by 25 to get the total profit of 2875.
Find the length of the missing side:
Answer:
x = 15.8
Hope this helps...Have a good day!!
Use a calculator to find the mean of the data. {21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Answer:
22.8
Step-by-step explanation:
I just did the math :)
The mean of a given set of data is 22.8.
What is the arithmetic mean?Arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean. One of the basic methods used to acquire a result, the term "Mean" is commonly used in the field of statistics.
The formula for the mean of a given set of data is as follows:
Mean = Sum of Observations/Total number of observations
Given the set of observations as :
{21.6, 25, 20.6, 24.6, 20.3, 25.2, 22.8, 24.1, 22.5, 22.5, 22.6, 22, 24.6, 23.6, 23.5, 22, 24.4, 20.9, 21.4, 20.5, 23.2}
Here, n = 21
⇒ ∑x = Sum of Observations
⇒ ∑x = 478.8
Mean = ∑x/n
Mean = 478.8/21
Mean = 22.8
Hence, the mean of the given data is 22.8.
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Identify the equation of the circle that has its center at (7, -24) and passes
through the origin
A. (x - 7)^2 + (y + 24)^2 = 625
B. (x + 7)^2 + (y - 24)^2 = 25
c. (x - 7)^2 + (y + 24)^2 = 25
D. (x + 7)^2 + (y - 24)^2 = 625
Answer:
x = 7 e y = -24
Step-by-step explanation:
The equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
What is an equation of a circle?A circle can be characterized by its centre's location and its radius's length.
Let the centre of the considered circle be at (h,k) coordinate and the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)²+(y-k)²=r²
The equation of a circle is given as (x-h)²+(y-k)²=r², where (h,k) is the coordinate of the centre of the circle, and r is the radius of the circle.
Since the given circle is needed to pass through the origin and the coordinates of the centre of the circle are (7, -24). Therefore, the distance between the origin and (7, -24) will the radius of the circle.
Therefore, the radius of the circle will be,
Radius = √[(7-0)² + (-24 - 0)²]
= √(49 + 576)
= √(625)
= 25
Now, the equation of the circle that is centred at (7, -24) and has a radius of 25 units is,
(x - h)² + (y - k)² = r²
[x - 7]² + [y - (-24)]² = (25)²
(x - 7)² + (y + 24)² = 625
Hence, the equation of the circle that has its centre at (7, -24) and passes through the origin is (x - 7)² + (y + 24)² = 625.
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A bakery sells 5 apple muffins for every 2 bran muffins sold. Which table shows this ratio?
Answer:
D
Step-by-step explanation:
5:2::20:4::30:6::40:8
20/4 is 5
30/6 is 5
40/8 is 5
Solve for y in:y^(-2/3)=9
Answer:
y = 1/27
Step-by-step explanation:
[tex]y^{\frac{-2}{3}} = 9\\[/tex]
Cube both sides
[tex](y^{\frac{-2}{3}})^{3}=9^{3}\\\\y^{\frac{-2}{3}*3}=9*9*9\\\\y^{-2}=729\\\\\frac{1}{y^{2}}=729\\\\1=729*y^{2}\\\\\frac{1}{729}=y^{2}\\[/tex]
[tex]y^{2}=\frac{1}{27^{2}}\\\\y^{2}=(\frac{1}{27})^{2}\\[/tex]
y = 1/27
8. Define transversal lines.
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles.
Answer:
13, 200 feet or 158,400 inches are in 2.5 miles
Step-by-step explanation:
5,280 feet * 2.5 miles= 13,200 feet
please answer! i need the answers in order to move on:)
Answer:
1) [tex](\sqrt{25})^{2}[/tex]
[tex]=25[/tex][tex]=5^{2}[/tex]------------
2)
[tex]\sqrt{3}=3^{1/2}[/tex][tex]\sqrt[4]{3} =3^{1/4}[/tex][tex]\sqrt[3]{2} =2^{1/3}[/tex][tex]\sqrt[5]{2} =2^{1/5}[/tex]-------------
3)
[tex](\frac{49}{64} )^{1/2}[/tex]
→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]
→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]
→ [tex]\frac{7}{8}[/tex]
------------
4)
[tex]\sqrt[3]{\frac{27}{125} }[/tex]
[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]
[tex]=\frac{3}{5}[/tex]
--------------
5)
[tex]32^{1/5}[/tex]
[tex]=(2^{5} )^{1/5}[/tex]
[tex]=2^{5\times1/5}[/tex]
[tex]=2[/tex]
--------------
OAmalOHopeO
What is the standard equation of the circle?
Answer:
A is the answer
Step-by-step explanation:
the center of the circle is (-2,-1) so you're going to reverse their signs and insert that value in for x and y. the radius is 5, but the equation of a circle is
[tex]x ^{2} + {y}^{2} = {r}^{2} [/tex]
so you're going to square the radius, this making it 25.
