Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
can someone pls help me i need to know what is 2x - 1 = 7
Answer:
The solution for x would be 4.
Step-by-step explanation:
2x - 1 = 7
The value of x is unknown, but you do know that you are multiplying 2 by x. So, if you rewrite the equation as 7+1=2x, you know that 8=2x. If you then divide both sides by 2, you're left with 4=x which would mean that the variable x has a solution of 4
Consider the equation below
a + 9 =23
3b + 9 =23
6c + 9 = 23
Determine whether each statement about the equations is true or false
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
a + 9 = 23
a = 14
3b + 9 = 23
3b = 14
b = 14/3
6c + 9 = 23
6c = 14
c = 14/6 = 7/3
Statement 1: 3a = 14 x 3 = 42, which is not equal to b.
Statement 2: 7/3 is less than 14.
Statement 3: 2c = 7/3 x 2 = 14/3 = b.
Statement 4: 6c = 14 = 3b, so the value of 6c is not greater than 3b. It is just equal to.
The temperature was 75° Fahrenheit. The temperature dropped at a rate of 10° per hour.
What was the temperature in degrees 8 hours later?
Answer:
-5 degrees
Step-by-step explanation:
you started at 75 degrees. it dropped at a rate of 10 degrees per hour. It's been eight hours. 8 times 10 equals 80. It dropped a total of 80 degrees. the starting 75 degrees minus the current 80 degrees equals -5 degrees.
The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.
Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6
How many miles did she travel each hour?
23 miles per hour
35 miles per hour
42 miles per hour
53 miles per hour
Answer:
35 miles per hour.
Step-by-step explanation:
140÷4=35
!75÷5=35
210÷6=35
Answer:
❌23 miles per hour
✅35 miles per hour
❌42 miles per hour
❌53 miles per hour
Go follow me on T I k T o k aiyana_parker
(x+y)^4 I am trying to simplify this problem and am kinda confused by it
Answer:
This is already as simple as it will get. You could expand it though. In that case you'd get:
(x + y)⁴
= (x² + 2xy + y²)²
= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
= x⁴ + 4x³y + 6x²y² +4xy³ + y⁴
But this doesn't simplify at all.
pls help with thisss
Answer:
i will help plz put the question here copy it so i can help u
Step-by-step explanation:
which term is related to electromagnetism applies only to the magnetic force
a. non-contact
b. poles
c. protons
d. attraction
HELP quick i am on a timed test!
A. non-contact
B. poles
C. protons
D. attraction
ANSWER:B.Poles is related to electromagnetism applies only to the magnetic forceHopeItHelps you
You buy 11 bagels with a $20 bill. How much change do you receive?
well 6 bagels cost $7.50 and you bought 11 bagel with a $20 dollar bill
so answer that
I was distracted
And in traffic
I didn't feel it
When the earthquake happened
But it really got me thinkin'
Were you out drinkin'?
Were you in the living room
Chillin' watchin' television?
It's been a year now
Think I've figured out how
How to let you go and let communication die out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling and I'd hold you tight
And there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
Right?
If the world was ending
You'd come over, right?
Right?
I tried to imagine
Your reaction
It didn't scare me when the earthquake happened
But it really got me thinkin'
That night we went drinkin'
Stumbled in the house
And didn't make it past the kitchen
Ah, it's been a year now
Think I've figured out how
How to think about you without it rippin' my heart out
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I'd hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
I know, you know, we know
You weren't down for forever and it's fine
I know, you know, we know
We weren't meant for each other and it's fine
But if the world was ending
You'd come over, right?
You'd come over and you'd stay the night
Would you love me for the hell of it?
All our fears would be irrelevant
If the world was ending
You'd come over, right?
The sky'd be falling while I hold you tight
No, there wouldn't be a reason why
We would even have to say goodbye
If the world was ending
You'd come over, right?
You'd come over, you'd come over, you'd come over, right?
If the world was ending
You'd come over, right?
Answer:
Yes
Step-by-step explanation:
Yes
I need help on question a and b. please help me asap?!?!?
Hey I need some help here!
6x +2 (5x -6)
Answer:
1 6 − 1 2
Step-by-step explanation:
im pretty sure :OO if it's wrong im sorry :((
What are the zeros of the function (x) = x2 – 3x+2?
Step-by-step explanation:
f(x) = x² - 3x + 2 = (x - 2)(x - 1).
When f(x) = 0, (x - 2)(x - 1) = 0.
=> x = 2 or x = 1.
Question is in picture below
[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]
While you were at school you hear two students talking about an online business that pays a
piecework rate of $0.02 for stuffing envelopes. One of them says that he was able to stuff 4,382
envelopes during the week. How much was the student's gross pay rounded to the nearest
cent? Do not include a dollar sign in your answer. I got 8.764, is this answer correct ?
Flying lessons on weekdays cost m dollars per hour. Flying lessons on weekends cost 1.2m dollars per hour. The expression 9m+3(1.2m) represents the to
Answer:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
Step-by-step explanation:
Given
[tex]Weekdays = \$m /hour[/tex]
[tex]Weekends = \$1.2m/hour[/tex]
Required
What does 9m + 3(1.2m) represent
The expression can be split to:
9m and 3(1.2m)
For 9m:
From the question, we understand that:
[tex]m = 1\ hour[/tex]
Multiply both sides by 9
[tex]9 * m = 1\ hour * 9[/tex]
[tex]9 m = 9\ hours[/tex]
This means that:
9m = the cost of lessons for 9 hours on weekdays
For 3(1.2m):
From the question, we understand that:
[tex]1.2m = 1 \ hour[/tex]
Multiply both sides by 3
[tex]3 * 1.2m = 1 \ hour * 3[/tex]
[tex]3(1.2m) = 3 \ hours[/tex]
This means that:
3(1.2m) = the cost of lessons for 3 hours on weekends
Hence, the expression represents:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
Graph
y−2=23(x+4)
I don’t no how to graph so plz help me
Answer: This file i added shows the graph. If it doesnt help, then you can use M.a.th w.a.y to find the graph
Step-by-step explanation:
PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE
Answer:
Town C
Step-by-step explanation:
Nancy's cell phone company automatically deducts $30 from her bank
account every month to pay her bill.
Nancy does not add money to her bank account. What is the change in
Nancy's bank account after 6 months?
Answer:
5
Step-by-step explanation:
30/6=5
2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35
Answer:
d. $13.35
Step-by-step explanation:
subtract
i am so sorry if this is wrong! hope this helps:)
hey its me againnnnnnn i need some help here =v=
Answer:
Step-by-step explanation:
42 square units
Q
+
O
Write the equation of an absolute
value function that is reflected
across the x-axis, shifted 5 units to
the left, and vertically stretched by
7.
Answer:
Q + O equals œ
Step-by-step explanation:
In the graph of an inequality, the region to the right of a dashed vertical line
through the point
(-4,0) is shaded. What inequality does the graph represent?
Answer:
x is greater than -4
Step-by-step explanation:
Answer:
x > -4
Step-by-step explanation:
Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.
Answer: one hosta = $5
One shrub = $8.
Step-by-step explanation:
Let the cost of one hosta be h
Let the cost of one shrub be s
Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:
8h + 5s = 80 ..... i
Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:
9h + 5s = 85 ..... ii
8h + 5s = 80 ..... i
9h + 5s = 85 ..... ii
Subtract i from ii.
h = 5
The cost of one hosta is $5
Since 8h + 5s = 80
8(5) + 5s = 80
40 + 5s = 80
5s = 80 - 40
5s = 40
s = 40/5 = 8
One shrub cost $8.
Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12
Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?
The graph of h(x)=|x-10|+6 is shown on whitch interval is the graph increasing
Solve for p.
p - 879 = -284
p =
Solve the equation for m. Show your work on the canvas. Move -n by using opposite operation. Then just write the equation as is. This is a one step equation. 4=m−n
Answer:
m = 4+n
Step-by-step explanation:
Given the expression 4 = m-n, we are to make m the subject of the formula
From the equation
4 = m-n
Rearrange
m-n = 4
Add n both sides of the equation
m-n+n = 4+n
m+0 =4+n
m = 4+n
Hence the expression for m is given as m = 4+n
a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?
