Answer:1.25
Step-by-step explanation:
If you add everything it makes 3 and 1/3 pounds you want 5
If you divide 5 by 3 and 1/3 it's 1.5
Then you just need to multiply 5/6 by 1.5
For making 5 lb birdseed mix 1 ¹/₄ lb cracked corn will be used.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Alaina is making a birdseed mix with 2 1/3 lb sunflower seeds, 5/6 lb cracked corn, and 1/6 lb peanuts.
adding everything to make birdseed mix = 2 1/3 + 5/6 + 1/6 =10/3 lb
Now,
for making 10/3 lb birdseed mix = 5/6 lb cracked corn is used
in other words :
for making 1 lb birdseed mix = (5/6) x (3/10) lb cracked corn is used
that is , for making 5 lb birdseed mix = (5/6) x (3/10) x 5 lb cracked corn will be used.
= 15/12 = 5/4 = 1 ¹/₄ lb cracked corn will be used.
Therefore, for making 5 lb birdseed mix 1 ¹/₄ lb cracked corn will be used.
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At a shelter, 35% of the dogs are puppies. There are 200 at the shelter. How many are puppies?
Answer:
Step-by-step explanation:
Percentage of purebred dogs in shelters: 25% Number cats and dogs adopted from shelters each year: 4 million. Percentage of cats euthanized in shelters: 70% Percentage of total shelter intake comprised of cats: Approximately 50% (but in some regions 2/3 of shelter population is cats)
Answer:
70 puppies
Step-by-step explanation:
Find 10% which is 200÷10=20
20*3=60=30%
20÷2=10=5% so 60+10=70 puppies
A virus takes 13 days to double its original population (A = 2A0). How long will it take to triple its population? Round to
the nearest tenth.
Answer:
20.6
Step-by-step explanation:
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
The number of days taken to triple the population is 20.7 days.
What is a function?
A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The exponential function to solve the problem.
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
A = population in time t.
[tex]A_0[/tex] = Initial population.
r = growth rate.
t = time
Now,
A = 2[tex]A_0[/tex]
t = 13
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
[tex]2A_0[/tex] = [tex]A_0e^{13r}[/tex]
2 = [tex]e^{13r}[/tex]
Taking logs on both sides.
log 2 = 13r log e
0.30 = 13r
r = 0.30/13
r = 0.023
Now,
A = 3[tex]A_0[/tex]
A = [tex]A_0[/tex] [tex]e^{rt}[/tex]
3 = [tex]e^{rt}[/tex]
log 3 = rt
0.48 = 0.023t
t = 0.48/0.023
t = 20.7 days.
Thus,
The number of days taken to triple the population is 20.7 days.
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Help!!!! I have no idea how to even begin this
Answer:
y=-7x+3
since the formula is y=mx+b where m is the slope and b is the y-intercept.
Help!! I need an answer asap!!
Given a∥b, find m∠1 = 71º.
Find: m∠5, m∠8
Answer:
m<5 = 71 and m<8 = 109
Step-by-step explanation:
m<1 is equivalent to m<5 and m<2 is equivalent to m<8.
Answer:
∠5 = 71°
∠8 = 109°
Step-by-step explanation:
∠1 = 71°
∠5 = 71° (the same as ∠1 = 71°) its a corresponding angle
∠8 = 180 - ∠5
∠8 = 180 - 71
∠8 = 109°
Write an equation to describe this situation using decimals. “Tessa bought x pounds of almonds. Lark (y) bought more than that”. PLEASE HELP!
Answer:
y = 1.6x
Step-by-step explanation:
y is the total amount/pounds of almonds that Lark bought. x is the amount that Tessa bought. 3/5 is the same as 0.6. If we multiplied Tessa's amount by 0.6 it would decrease by 2/5 so we have to add 1 to make it 1.6. To find how much Lark bought multiply 1.6 and Tessa's amount.
Answer:
how many 35 (x) did molly purchase, for 5 (y) weeks.
Step-by-step explanation:
I chose this because each number represents a different volume , it also makes a good answer, comment or repsond if i am wrong.
Given u = ⟨1, 3⟩, v = ⟨2, 1⟩, and cos(ϴ) = sqrt2/2, where ϴ is the angle between the vectors, what is the scalar projection uv and the dot product u · v?
uv = 1.41 and u*v = 4.47
uv = 2.24 and u · v = 5.00
uv = 2.24 and u · v = 7.07
uv = 7.07 and u · v = 15.81
Answer:
Step-by-step explanation:
l
Option C corresponds to the vectors scalar projection and dot product, which are uv = 2.24 and u v = 7.07.
To find the scalar projection (uv) and the dot product (u · v) of vectors u and v, use the following formulas:
Scalar Projection (uv) of u onto v:
uv = |u| × cos(ϴ)
Dot Product (u · v) of u and v:
u · v = |u| × |v| × cos(ϴ)
u = ⟨1, 3⟩ and v = ⟨2, 1⟩, and cos(ϴ) = √(2)/2,
calculate the magnitudes of u and v first:
|u| = √(1² + 3²) = √10
|v| = √(2² + 1²) = √5
Now, calculate the scalar projection (uv) and the dot product (u · v):
Scalar Projection (uv) of u onto v:
uv
= |u| × cos(ϴ)
= √10 × √(2)/2
= √(10/2)
= √5 ≈ 2.24
Dot Product (u · v) of u and v:
u · v
= |u| × |v| × cos(ϴ)
= √10 × √5 × √(2)/2
= √(1052)/2
= √100/2
= √50
≈ 7.07
Therefore, the scalar projection and dot product of the vectors is equal to option c. uv = 2.24 and u · v = 7.07.
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A simple moving average a. is a cumulative breadth measure b. is constructed from various randomly selected interviews of retail investors c. seldom changes in value d. is constructed by totaling a set of data and dividing that total by the number of observations
Answer:
d. is constructed by totaling a set of data and dividing that total by the number of observations
Step-by-step explanation:
Moving average is a method of calculation that is use to analyze the data points by making a series of averages of the various subsets in the full data set. Its another name is rolling average or moving mean.
A simple moving average is constructed by taking the sum of a set of data and then dividing the total by a number of the observations.
Work out the problem -5-8
-13
Answer:
since 5+8 is 13 and there's a '-' in the five than it's-13
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar, she can use a proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake? A) Corresponding sides of the two triangles have the ratio of 4:1, which proves SAS similarity.The length of the lake is 212 m. B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132 m.
C) Corresponding sides of the two triangles have the ratio of 3:1, which proves SSS similarity. The length of the lake is 159 m. D)
Corresponding sides of the two triangles have the ratio of 4:1, which proves AAS similarity. The length of the lake is 240 m.
Answer: B) Corresponding sides of the two triangles have the ratio of 4:1, which proves SSS similarity. The length of the lake is 132m.
Step-by-step explanation: Similar Triangles are triangles with corresponding sides proportional to each other.
One way to determine if two triangles are similar is a theorem called Side-Side-Side Similarity Theorem or SSS similarity and it states that two triangles are similar if corresponding angles are equal and corresponding sides are proportional.
The triangles below are similar and they obey this theorem because we observe that the angles are the same and the corresponding sides are proportional:
[tex]\frac{big}{small}=\frac{212}{53}=\frac{60}{15}=4[/tex]
So, the ratio of bigger triangle and smaller triangle is 4:1.
With that ratio and suppose length is represented as L:
[tex]\frac{L}{33} =4[/tex]
L = 132
The length of the lake is 132m.
Thus, the answer for this question is
1) The similarity of the triangles is proved by SSS similarty;
2) Ratio of proportion is 4:1;
3) Length of the lake is 132m;
My sister is 12 years old. My brother says that his age minus twelve is equal to my sister's age. How old is my brother?
Enter an equation, using as your variable, to find how old my brother is.
The equation is
x-12=12
x=24
your brother is 24 years old
(3x + 6) (5x +4)
I need help I don’t understand
[tex](3x + 6)(5x + 4) \\ [/tex]
[tex] = 3x(5x + 4) + 6(5x + 4)[/tex]
[tex] = 15 {x}^{2} + 12x + 30x + 24[/tex]
[tex] = 15 {x}^{2} + 42x + 24[/tex]
A video game system and several games are sold for $580. The cost of the games is 3 times as much is a cost of the system. Find the cost of the system and the cost of the games. 
Answer:
The game system is 145, and the games cost 435.
Step-by-step explanation:
4x = 580
580/4=145
145x3=435 which is the cost of the games.
145 is the cost of the game system.
The measurement of the complement of an angle is 40° more than the angle. What is the supplement for the angle?
5x−7 = 3 help meee plz
Answer:
5x=3+7
5x=10
X=10/5
=2
Don’t PUT A Random Answer PLEASE
Answer:
314
Step-by-step explanation:
Answer:
ok I won't
Step-by-step explanation:
[tex] \frac{1}{ax} - \frac{1}{bx} = 1[/tex]
can someone ease explain how this is possible. right now I have tried everything from the back of my head and nothing seems to work. Thanks!
Answer:
x= 1/a-1/b
Step-by-step explanation:
use math.way
The answer to your question is 1 because:
'ax' and 'bx' have no values, they are missing numbers.
We have to cancel out one 1, and our answer is 1.
Carry on Learning!
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
HELPPPP!!!!!
my testt
Answer:
$8.50
Step-by-step explanation:
ok so if you divide 3.40 by 5 you get .68 and you multiply that to get 8.16 then you divide .68 to get the cost of half a pound and you get .34 so you add that to 8.16 and get 8.5.
your answer is $8.50
hope this helps!
Answer:i know this is no help now but plz give my sister brainliest for what she did last year.
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
What is the value of 1/60?
Answer:
1/6
Step-by-step explanation:
Answer:
C. 1
Step-by-step explanation:
Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
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9.
Here are Jason's scores on his science tests this year:
85, 91, 48, 98, 99, 91, 90, 84, 91, 87, 80
What is the mean absolute deviation of Jason's scores? (Round to the nearest thousandths place)
Answer:
85.818
Step-by-step explanation:
one room length 12.8 and breadth equals to 850 CM inside that room there is a bad length is 300 cm and breadth is 400 cm find the remaining surface area of the room and the answer will be in cm
Answer:
[tex]Area = 968000cm^2[/tex]
Step-by-step explanation:
To be able to answer this question properly. I'll assume the length of the room is in meters.
So for the room, we have:
[tex]Length = 12.8m[/tex]
[tex]Breadth = 850cm[/tex]
For the bed, we have:
[tex]Length = 300cm[/tex]
[tex]Breadth = 400cm[/tex]
First, we calculate the surface area of the room.
[tex]A_1 = 12.8m * 850cm[/tex]
Convert all units to cm
[tex]A_1= 12.8*100cm * 850cm[/tex]
[tex]A_1= 1 088 000 cm^2[/tex]
Next, we calculate the area of the bed
[tex]A_2 = 300cm * 400cm[/tex]
[tex]A_2 = 120000cm^2[/tex]
The area of the space left is the difference between A1 and A2
[tex]Area = A_1 - A_2[/tex]
[tex]Area = 1088000cm^2 - 120000cm^2[/tex]
[tex]Area = 968000cm^2[/tex]
CAN SOMEONE PLEASE HELP ME!! THANK YOU
Answer:
C
Step-by-step explanation:
I'm pretty sure it's C
Answer:
not sure but b or c because it says less than
Step-by-step explanation:
It takes Andre 4 minutes to swim 5 laps. a.How many laps per minute is that?
Answer:
1.25 laps per minute
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE
Answer:
B) EF
Step-by-step explanation:
A diameter the length of the line through the center that touches two points on the edge of the circle.
In this case, EF is the two points touching the edge of the circle.
Identify the rate of change
Answer:
The rate of change is -2
Step-by-step explanation:
I know because I used a calculator and it is decreasing by 2 in the x column. Plzz can I have brainiest
The price of an item has been reduced by 45%. The original price was $85.
Answer:
$38.25
Step-by-step explanation:
Answer:
Sale Price: $85 * 0.55 = $46.75
Step-by-step explanation:
2) Which of the following is an equivalent ratio to 12:48? Choose all that apply.
a. 3:12
b. 6:24
C. 24.48
d. 24.96
Help me pleaseee (10 points)
Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.