Answer:
a) The percentage change in the combined butterfly and bee population was a decrease of 5%.
b) The butterfly population in January was 210.
Step-by-step explanation:
In January, the ratio of the number of butterflies to the number of bees in a garden was 7 : 3.
This means that:
[tex]\frac{x}{y} = \frac{7}{3}[/tex]
In which x is the number of butterflies and y is the number of bees.
In February, the butterfly population decreased by 20% while the bee population increased by 30%.
This means that:
[tex]\frac{x}{y} = \frac{7*(1-0.2)}{3*(1+0.3)} = \frac{7*0.8}{3*1.3} = \frac{5.6}{3.9}[/tex]
(a) What was the percentage change in the combined butterfly and bee population?
January: 7 + 3 = 10
February: 5.6 + 3.9 = 9.5
Change
[tex]100*\frac{9.5-10}{10} = -\frac{50}{10} = -5[/tex]
This means that the percentage change in the combined butterfly and bee population was a decrease of 5%.
(b) If there were 168 butterflies left in February, what was the butterfly population in January?
February is 80% of January, for the population of butterflies. So
[tex]0.8x = 168[/tex]
[tex]x = \frac{168}{0.8}[/tex]
[tex]x = 210[/tex]
The butterfly population in January was 210.
need help ASAP!!!!!
What is the common ratio for f(x)=2^x-3+5
Answer:y=2x−3+5
Step-by-step explanation:
What’s the equation of the line in fully simplified slope-intercept form
Answer:
y= -x - 8
Step-by-step explanation:
To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.
Lin runs 4 laps around a track in 12 minutes.
If Lin runs 14 laps at the same rate, how long does it take her?
Answer:
it would take her 42 mins
Step-by-step explanation:
Math!!!! Fined the area of the triangle
Answer:
Area = 40 cm²
Step-by-step explanation:
Area of triangle is derived by the formula,
Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
Length of Base = 8 cm
Height of the triangle = 10 cm
Therefore, area of the given triangle = [tex]\frac{1}{2}(8)(10)[/tex]
= 40 cm²
Which value of x makes the following equation true? 5 x + 3 x = 72 x
Answer:
I might be wrong
Step-by-step explanation:
x= 9? sorry if that's wrong
Answer:
x =9
Step-by-step explanation:
take off the x
add 5+3=8
divide 72 by 8
answer is 9 so x=9
you can double check by multiplying 5×9 then 3×9 then adding your answers together to give you 72
Find the indicated side length round to the nearest tenth),
Answer:
Step-by-step explanation:
for 1 they give us an angle and the side next to that angle.. or the Adjacent side and they want to know the Opposite side from the angle sooo let's use ..
SOH CAH TOA
hmm TOA seems good , it's got the adj and Opp in it ,
Tan(Ф) = Opp / Adj
Tan(67) = Opp / 26
26 * Tan(67) = Opp
61.2521 = Opp
61.3 ( rounded to nearest 10th ) does this seem big to you? well it should be quite a bit bigger than the 25 on the base, seems about right to me
for 2 they give us one angle, 48 , and one side, 35 , that is opposite from that angle, and ask what is the Hyp. So find a trig function that has those pieces in it. SOH seems good
sin(Ф) = Opp / Hyp
sin(48) = 35 / Hyp
Hyp = 35 / sin(48)
Hyp = 47.0971 ( and that seems about right for the Hypotenuse )
x = 47.1 ( rounded to the nearest 10th )
for 3 they are asking us to imagine a triangle, I'll draw it and attach it as a picture. Looking at the picture helps a lot, we can see we have the angle and the adj side and want to find the Opposite side of that big triangle. sooo use TOA , it's got those pieces in it
Tan(17) = Opp / 200
200*Tan(17) = Opp
61.1461 =Opp
so the height of the radio mast is 61.1 meters ( rounded to nearest 10th )
Does this seem a bit easier when you think about how the parts of the trig functions fit on the triangles? :) ask if you have any questions
What was Zane's unit rate, in words per minute, on each test?
On which test does Zane have the highest unit rate?
Answer:
Test A: 40 words per minute
Test B: 54 words per minute
Test C: 44 words per minute
Test B has the highest unit rate
Step-by-step explanation:
Test A divide 30 by [tex]\frac{3}{4}[/tex] (30/0.75=40)
Test B divide 78 by [tex]1\frac{1}{2}[/tex] (78/1.5=52)
Test C divide 99 by [tex]2\frac{1}{4}[/tex] (99/2.25=44)
Hope this helps :-)
[tex]-noorati[/tex]
will give brianlist
Jennifer has a hair ribbon that is 12 centimeters long. What is the length of the ribbon in millimeters? Use the number of zeros of the product when multiplying a number by a power of 10 to help you.
120 millimeters
12 millimeters
1,200 millimeters
1.2 millimeters
Shivaun claims that the opposite of the opposite of a number is itself.
Which of the following equations supports this claim?
1-6 = 6
-6=6
-(-6) = 6
-6+6 = 0
Write an equation that models this situation. At a sports banquet, 8 guests are seated at each of the 15 available tables. How many guests (x) are seated at the tables?
Answer: The equation that models this situation is:
x = 15 × 8 or x ÷ 8 = 15
Step-by-step explanation:
Let 'x' be the total number of guests who are seated at the tables.
If have to determine how many guests (x) are seated at the tables, all we need is to multiply the 15 with 8.
so the equation becomes
x = 15 × 8 or x ÷ 8 = 15
Therefore, the equation that models this situation is:
x = 15 × 8 or x ÷ 8 = 15
hope this helps good luck
Find the simple interest on $2,219 principal, deposited for 6 years at a rate of 1.91%
Answer:
$13,568.30
Step-by-step explanation:
I = Prt
I = 2,219(1.0191)(6) = 13,568.30
What would be the first step to solve this equation x - 5 (x-1) = x - (2x- 3 )
What transformation preserves angle measures but not side lengths?
Translation
Rotation
Reflection
Dilation
Answer:
translation
Step-by-step explanation:
I'm pretty sure
solve the equation 12n-60
Answer:
n-5
Step-by-step explanation:
Find the product
1. 3/2 ×2/5
2. 3/-5×-5/3
Answer:
1- 3/5 or .6
2- 1
Step-by-step explanation:
The ratio of the girls to boys in the school
marching band is 10 to 8. If there are 32 boys in
the marching band, how many of the students in
the marching band are girls?
A 38
B, 40
C. 26
D, 42
t a school. number of boys/number if girls =9/7. there are 116 more boys than girls. work out the total number of students at the school
Answer:
928
Step-by-step explanation:
Ratio of boys to girls is 9:7, so boys are 9/(9+7) = 9/16 of the total, and the girls are 7/16
the difference is 9/16-7/16 = 2/16 = 1/8, so
x * 1/8 = 116
x = 116*8 = 928
I need help With this
Answer:
Step-by-step explanation:
C
Answer: A
Step-by-step explanation:
There u go
A baker uses 3/4 teaspoon cinnamon for every 2/3 can of pumpkin when making pumpkin muffins. How much cinnamon does the baker need for each can of pumpkin?
Answer:
9/8 teaspoon
Step-by-step explanation:
The original ratio is 0.75:0.66 (x:y). We need to find x when y = 1.
0.66*1.5 = 1
So, if the original y was multiplied by 1.5 to get 1 (which we need) then we can multiply the original x to get our answer.
0.75*1.5 = 1.125
Convert into fractional form:
1.125 = 9/8
Your answer is 9/8 teaspoon of cinnamon per one can of muffins.
Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?
¡23
120+3
Use the example as a model. Simplify the
expressions.
= i20 i3
37
DONE
= 15 x 13
= 1 x 13
= -i
Answers are in the picture (don’t need to answer this question this is just here cause It hasn’t been answered yet)
Answer:
Hola hablo alemana
Step-by-step explanation:
A rectangle has an area of 48 square units and a perimeter of 32 units. What are its dimensions?
Help me pleaseeeeeeeeeeeeee
Answer:
Step-by-step explanation:
i can't see the number srry:(
Is 5/7 greater than or less than 2/8
Answer:
greater than lol
Step-by-step explanation:
Answer:
5/7 is grater than 2/8
Step-by-step explanation:
5/7 = 0.714
2/8 = 0.25
therefore 5/7 is grater than 2/8
marcia is typing her report for history class. She can type 4 pages in 45 minutes. At that rate, how many pages does she type per hour? Round to the nearest hundredth.
Answer:
5.34 pages/h
Step-by-step explanation:
4/45 = p/60
p ≈ 5.34
Answer:
Step-by-step explanation:
3/4 of an hour is the same as 0.75
Write a proportion.
4 (pages)/0.75 (hours)=p(pages)/1 hour
Cross multiply and divide
(4x1)÷0.75=5.33 (rounded to the nearest hundred)
p=5.33
Marcia can type 5.33 pages per hour.
PLEASE HELP!!! *WILL MARK YOU BRAINIEST*
Answer:
Hey There!
The answers are D and H
Step-by-step explanation:
Will give brainliestt
Answer: (-5, -3)
Step-by-step explanation:
(-10, -6)
-10/2 = -5
-6/2 = -3
Bob can complete his Math homework in
2.5 hours, but if he works with Joe they can finish in 1.5 hours. How long would it take Joe to finish his homework on his own?
Answer:
3.75 hours
Step-by-step explanation:
Bob completes his homework in 2.5 hours.
In 1 hour, he completes 1/2.5 of his homework.
Joe completes his homework in x hours.
In 1 hour, he completes 1/x of his homework.
Together, they complete the homework in 1.5 hours.
In 1 hour, they do 1/1.5 of the homework.
1/2.5 + 1/x = 1/1.5
Convert the decimal numbers in the numerators into fractions.
1/(5/2) + 1/x = 1/(3/2)
2/5 + 1/x = 2/3
Multiply both sides by the LCD, 15x.
6x + 15 = 10x
-4x = -15
x = 3.75
Answer: 3.75 hours
At the end of the month, a restaurant manager used the total food sales for the month and the total number of customers for the month to calculate the mean about spent per customer during that month was $12.59. Is this value a statistical or a parameter? Explain.
Answer:
Step-by-step explanation:
It is a parameter, I think. The population is limited to all of the restaurant's customers. Presumably they don't come in to look at the waitresses -- although that might happen. They are there for coffee donuts or a meal, so they are spending money, that's what all of them have in common.
So the population is very confined and very well defined.
The owner is finding a mean. Anything like this is a parameter which defines some aspect of the population.
Zack and Dave each bought some coins from jerry online. Dave bought 5 more coins than Zack bought
C. Explain why it’s not necessary to know how many coins Zack bought to determine how much more Dave paid than Zack paid
Answer & Step-by-step explanation:
number of Dave's coins = number of Zack's coins + 5
The question is asking to find the difference in prices paid (thus "more"), completely unrelated to the number of coins Zack bought as these two numbers are independent of one another. The difference in price can be found by simply multiplying the cost of one coin by 5.
what is the GCF of: 18k and 15k3
and how do you get that answer
Answer:
List all the factors for 18,15 to find the common factors. The common factors for 18,15 are 1,3 . The GCF for the numerical part is 3 . The factor for k1 is k itself.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since
18
k
,
15
k
3
contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for
18
k
,
15
k
3
:
1. Find the GCF for the numerical part
18
,
15
2. Find the GCF for the variable part
k
1
,
k
3
3. Multiply the values together
Find the common factors for the numerical part:
18
,
15
The factors for
18
are
1
,
2
,
3
,
6
,
9
,
18
.
Tap for more steps...
1
,
2
,
3
,
6
,
9
,
18
The factors for
15
are
1
,
3
,
5
,
15
.
Tap for more steps...
1
,
3
,
5
,
15
List all the factors for
18
,
15
to find the common factors.
18
:
1
,
2
,
3
,
6
,
9
,
18
15
:
1
,
3
,
5
,
15
The common factors for
18
,
15
are
1
,
3
.
1
,
3
The GCF for the numerical part is
3
.
GCF
Numerical
=
3
Next, find the common factors for the variable part:
k
,
k
3
The factor for
k
1
is
k
itself.
k
The factors for
k
3
are
k
⋅
k
⋅
k
.
k
⋅
k
⋅
k
List all the factors for
k
1
,
k
3
to find the common factors.
k
1
=
k
k
3
=
k
⋅
k
⋅
k
The common factor for the variables
k
1
,
k
3
is
k
.
k
The GCF for the variable part is
k
.
GCF
Variable
=
k
Multiply the GCF of the numerical part
3
and the GCF of the variable part
k
.
3
k