Answer:
5 days
Step-by-step explanation:
dogs, combined, eat 80 ounches of food daily
there are 16 ounces in one pound so there are 25x16, or 400 ounces, in a 25-pound bag
400/80 = 5
25-pound bag would last 5 days
One bag of dog food volunteered by Amelia, Which have quantity of 25 pounds will last for 5 days.
What is ratio?
Ratio is mathematical term, which we use for comparing two or more terms. basically it indicates that how much big or small is number in compared to another.
Given that,
Every day, Amelia puts out 10 ounces of food for each of the 8 dogs.
Dog food comes in 25-pound bags.
And it is know that,
1 pound = 16 ounce;
so by that way it can state that,
Dog food for 25-pound bag will be equal to;
25*16
400 ounce.
Everyday requirement of dog food is 8*10 = 80 ounce/day
Number of days food will last= Available quantity/Everyday requirement
Number of days food will last= 400/80
Number of days food will last= 5 days
Hence, One bag of food will be enough for 5 days.
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Question 4
1 pts
3. Aracelli has a class of kindergardeners. Each student gets a six oz cup of milk at
snack time. How many gallons of milk will she need to buy for a class of 23 students?
O 1.08 gallons
1.1 gallons
O 2 gallons
1 gallon
1 pts
Question 5
Answer:
There is a little over 1 gallon
Step-by-step explanation:
Calculate the theoretical probability of each of the following events:
You spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple.
Answer:
There is a 1/3 chance it lands on each section
Step-by-step explanation:
Given two points P(sinθ+2, tanθ-2) and Q(4sin²θ+4sinθcosθ+2acosθ, 3sinθ-2cosθ+a). Find constant "a" and the corresponding value of θ when these two points coincide. (0 ≤ θ < 2π)
Show your work, thanks!
Answer:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1, \frac{\sqrt{3}}{2} - 1[/tex]
Step-by-step explanation:
we are given two coincident points
[tex] \displaystyle P( \sin(θ)+2, \tan(θ)-2) \: \text{and } \\ \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
since they are coincident points
[tex] \rm \displaystyle P( \sin(θ)+2, \tan(θ)-2) = \displaystyle Q(4 \sin ^{2} (θ)+4 \sin(θ )\cos(θ)+2a \cos(θ), 3 \sin(θ)-2 \cos(θ)+a)[/tex]
By order pair we obtain:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2a \cos(θ) = \sin( \theta) + 2 \\ \\ \displaystyle 3 \sin( \theta) - 2 \cos( \theta) + a = \tan( \theta) - 2\end{cases}[/tex]
now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using substitution method
to do so, make a the subject of the equation.therefore from the second equation we acquire:
[tex] \begin{cases} \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sinθ \cos(θ)+2a \cos(θ )= \sin( \theta) + 2 \\ \\ \boxed{\displaystyle a = \tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) } \end{cases}[/tex]
now substitute:
[tex] \rm\displaystyle \displaystyle 4 \sin ^{2} (θ)+4 \sin(θ) \cos(θ)+2 \cos(θ) \{\tan( \theta) - 2 - 3 \sin( \theta) + 2 \cos( \theta) \}= \sin( \theta) + 2 [/tex]
distribute:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ)+4 \sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) - 6 \sin( \theta) \cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
collect like terms:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + 4 \cos ^{2} ( \theta) = \sin( \theta) + 2 [/tex]
rearrange:
[tex]\rm\displaystyle \displaystyle 4 \sin ^{2}( θ) + 4 \cos ^{2} ( \theta) - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) + = \sin( \theta) + 2 [/tex]
by Pythagorean theorem we obtain:
[tex]\rm\displaystyle \displaystyle 4 - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) + 2 [/tex]
cancel 4 from both sides:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+2 \sin(θ ) - 4\cos( \theta) = \sin( \theta) - 2[/tex]
move right hand side expression to left hand side and change its sign:
[tex]\rm\displaystyle \displaystyle - 2\sin(θ) \cos(θ)+\sin(θ ) - 4\cos( \theta) + 2 = 0[/tex]
factor out sin:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) - 4\cos( \theta) + 2 = 0[/tex]
factor out 2:
[tex]\rm\displaystyle \displaystyle \sin (θ) (- 2 \cos(θ)+1) + 2(- 2\cos( \theta) + 1 ) = 0[/tex]
group:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(- 2 \cos(θ)+1) = 0[/tex]
factor out -1:
[tex]\rm\displaystyle \displaystyle - ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
divide both sides by -1:
[tex]\rm\displaystyle \displaystyle ( \sin (θ) + 2)(2 \cos(θ) - 1) = 0[/tex]
by Zero product property we acquire:
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) + 2 = 0 \\ \displaystyle2 \cos(θ) - 1= 0 \end{cases}[/tex]
cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta
[tex] \begin{cases}\rm\displaystyle \displaystyle \sin (θ) \neq - 2 \\ \displaystyle2 \cos(θ) = 1\end{cases}[/tex]
divide both sides by 2:
[tex] \rm\displaystyle \displaystyle \displaystyle \cos(θ) = \frac{1}{2}[/tex]
by unit circle we get:
[tex] \rm\displaystyle \displaystyle \displaystyle θ= {60}^{ \circ} , {300}^{ \circ} [/tex]
so when θ is 60° a is:
[tex] \rm \displaystyle a = \tan( {60}^{ \circ} ) - 2 - 3 \sin( {60}^{ \circ} ) + 2 \cos( {60}^{ \circ} ) [/tex]
recall unit circle:
[tex] \rm \displaystyle a = \sqrt{3} - 2 - \frac{ 3\sqrt{3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = - \frac{ \sqrt{3} }{2} - 1[/tex]
when θ is 300°
[tex] \rm \displaystyle a = \tan( {300}^{ \circ} ) - 2 - 3 \sin( {300}^{ \circ} ) + 2 \cos( {300}^{ \circ} ) [/tex]
remember unit circle:
[tex] \rm \displaystyle a = - \sqrt{3} - 2 + \frac{3\sqrt{ 3} }{2} + 2 \cdot \frac{1}{2} [/tex]
simplify which yields:
[tex] \rm \displaystyle a = \frac{ \sqrt{3} }{2} - 1[/tex]
and we are done!
disclaimer: also refer the attachment I did it first before answering the question
The length of a rectangular piece of
construction paper is 8 inches and the width
is 17 inches. Vincent folded the piece of
paper along its diagonal. Which
measurement is closest to the length of the
diagonal in inches?
A. 5 in.
B. 18.79 in
C. 15 in
D. 25 in.
Answer:
B 18.79
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ G ≈ 8.3°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan G = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{1.1}{7.5}[/tex] , then
∠ G = [tex]tan^{-1}[/tex] ([tex]\frac{1.1}{7.5}[/tex] ) ≈ 8.3° ( to the nearest tenth )
What is the area of the rectangle
Answer:
E. 54cm ^2
Step-by-step explanation:
when finding the area just multiply length over width .for example 9 is the length times it to the width 6 you get 54 so the area will be 54 cm
Answer:
E
Step-by-step explanation:
length times width
6 x 9 = 54
The lengths of three sides of a triangle are given. Classify each triangle as acute, right, or obtuse. 6,9,7
Which graph shows the line y = 4x - 2?
Answer:
Hi, there the answer is Graph A because the y-intercept and I did rise over run
Step-by-step explanation:
Hope this helps :)
Please help me!! How do I do this?
Answer:
Taking 45 degree as reference angle
Then using sine rule
sin 45=
p/h
replacing the value of sin 45 degree by 1/root 2.so
1/root 2=9/c
doing cross multiplication
9*root 2=1*c
9 root 2 =c
therefore the value of c is 9 root 2
Step-by-step explanation:
Help me ASAP I have a 67% I math the girlie needs help
Answer:
x=28
Step-by-step explanation:
4(x-5)=92
4x-20=92
add 20 to both sides
4x=112
divide 4 on both sides
x=28
Answer:
The value of x is 28
Step-by-step explanation:
4(x - 5) = 92
4x - 20 = 92
4x = 92 + 20
4x = 112
x = 112 ÷ 4
x = 28
Thus, The value of x is 28
-TheUnknownScientist
Find the solution of the system of equations.
4x-10y=0
4x-9y=-2
Answer:
{x,y} = {-5,-2}
Step-by-step explanation:
Escribe en lenguaje simbólico las siguientes expresiones, teniendo en cuenta que llamamos x a la edad de María. La edad que tenía María hace 3 años. El doble de la edad que tendrá María dentro de 10 años. La tercera parte de la edad que tenía María hace 1 año.
Answer:
i don't know that language sorry
Step-by-step explanation:
plss help me answer this
Answer:
c≈5.2
Step-by-step explanation:
c=a2+b2=1.412+52≈5.19501
2. Which equation describes a line that has
a slope of and a y-intercept of ?
A) 5y + 4x = 2
C) Sy - 4x = 2
B) 4x5y = 2
D) -5y - 4x = 2
Answer:
What?
Step-by-step explanation:
G8ve me more info and Ill answer again
What do the following two equations represent?
Answer:
C)
Step-by-step explanation:
Consider the equations below:
y = 2x and 6x = 3y + 5
Are the lines parallel or perpendicular?
A Parallel because the product of the slopes is -1.
B Parallel because the slopes are the same.
C Perpendicular because the product of the slopes
is -1.
D Perpendicular because the slopes are the same.
==========================================================
Explanation:
Let's solve 6x = 3y + 5 for y
6x = 3y + 5
6x-5 = 3y
3y = 6x-5
y = (6x-5)/3
y = (6x)/3 - (5/3)
y = 2x - (5/3)
This final equation is in the form y = mx+b with m = 2 as the slope and b = -5/3 as the y intercept.
With the equation y = 2x, aka y = 2x+0, the m and b values are m = 2 and b = 0 respectively.
We see that both equations have the same slope (m = 2), but different y intercepts. Therefore, the two lines are parallel. If both y intercepts were the same as well, then we'd be talking about the same identical line.
If the slopes multiplied to -1, then the lines are perpendicular. In any other case, the two lines are neither parallel nor perpendicular.
i give brainlesss if u help me
Answer:
91,858
Step-by-step explanation:
This is the right answer
Answer: the answer is B hope it helps
Step-by-step explanation:
16,468 plus 75,390 = 91858
A bus departed from New York at 11 pm with 44 passengers. An hour later, a few passengers got off at New Jersey. The number of passengers who boarded the bus at New Jersey were twice the number of passengers who got off the bus. If the bus has 50 passengers now, how many passengers got off at New Jersey?
Answer:
6 passengers got off at New Jersey
Step-by-step explanation:
let the number of passengers who got off be x and let the number of passengers who boarded the bus be y
y=2x
44 - x + y=50
y=50-44+x
y=6+x
subst y=2x
2x=6+x
2x-x=6
x=6
Can someone help, please
easy math equation!
4. Write an equation of the line with slope 2/3 that goes through the point (-2,5).
What is the equation for -8 = p - 13
Answer: 5 is your answer hope this helped
plz make brainly
Step-by-step explanation:
Evaluate 1/3m-1-1/2n when m=21 and n=12
Answer:
12
Step-by-step explanation:
Joe tried to prove that the sum of a triangle's interior angle measures is 180°
Answer: Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5
Step-by-step explanation: Khan Academy
Joe made the mistake by guessing Angles ∠4 and∠2 are not alternate interior angles and neither are ∠1 and ∠5.
The correct option is (b).
What is Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.Given:
WE have to prove that the sum of a triangle's interior angle measures is 180°
According to the figure <1 and <4 are the alternate interior angle and <2 and <5 are alternate interior angle.
So, Joe made the mistake by guessing Angles ∠4 and∠2 and ∠1 and ∠5 are alternate interior angles.
Learn more about parallel lines here:
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A polar bear weighs 3 times more than a baby elephant. Both of them together weigh 700 kilograms. How much does the polar bear weigh?
Answer:
The polar bear weighs 525kg
Step-by-step explanation:
C = Polar Bear
D = Baby Elephant
____________________________
(1) C + D = 700 kg
(2) C = 3D
________________________________
C = 700 - D
700 - D = 3D
700 = 4D
________________________________
525 + 175 = 700
Then we get our answer, the polar bear weighs 525kg, and the baby elephant weighs 175kg.
Hope this helps you :)
The area of a rectangular playground is 78 square meters. If the length of the playground is 13 meters, what is its width?
Answer: It’s 6 meters
Step-by-step explanation:
if we know the area and the length we need to divide the two to get the width.
78 divided by 13. = 6
1. Una proposición que necesita ser demostrada y que cuya demostración consta de un conjunto de razonamientos se llama:
A. Axioma. B. Hipótesis. C. Colorario. D. Teorema.
2. Una proposición tan sencilla y evidente por sí misma que se admite sin demostración:
A. Axioma. B. Hipótesis. C. Escolio. D. Teorema.
Answer:
1. D. Teorema.
2. A. Axioma.
Step-by-step explanation:
En matemáticas, un conjunto de proposiciones que deben estar respaldadas por una prueba adecuada basada en el razonamiento se denomina teorema. Se puede demostrar plenamente que todos los teoremas matemáticos son verdaderos mediante el razonamiento.
Sin embargo, un axión es evidente por sí mismo y no necesita ser probado. Es un hecho ya establecido.
Answer:
1. D. Teorema.
2. A. Axioma.
Step-by-step explanation:
Espero que esto ayude
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
The graph shows a line and two similar triangles.
What is the equation of the line?
y = 3 x
y = one-third x
y = one-third x + 2
y = 3 x + 2
Answer:
y=1/3x+2
Step-by-step explanation:
will give brainiest!
The Pythagorean Identity states that:
(sin x)2 + (cOS X)2 = 1
Given cos 0 = 6/10, find sin 0.
sin 0 = [ ? ] / [ ? ]
Simplify the fraction.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
[tex] ( \cos \theta) ^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \therefore \: { \bigg( \frac{{6} }{10} \bigg)}^{2} + ( \sin \theta) ^{2} = 1 \\ \\ \frac{36}{100} + ( \sin \theta) ^{2} = 1 \\ \\ ( \sin \theta) ^{2} = 1 - \frac{36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{100 - 36}{100} \\ \\ ( \sin \theta) ^{2} = \frac{64}{100} \\ \\ \sin \theta = \sqrt{\frac{64}{100} } \\ \\ \sin \theta = \frac{8}{10} \\ \\ \sin \theta = \frac{4}{5} [/tex]
HELP PLEASE I SUCK AT THIS!<3
Find the area of a circle with a diameter of 31.
Answer:
hope this helps
Step-by-step explanation:
31 divided by 2 = 15.5 then do 15.5 x 15.5= 240.25 then you do 240.25 x 3.14 = 754.385