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]
i need help with geometry
Answer:
AAS only
Step-by-step explanation:
vertical angle
solve the inequality j + 6 < 9
please solve.
-7 = z over 2 + 1
Answer:
wdym by this I can solve it just type it properly or take a screenshot
Step-by-step explanation:
A game room has a floor that is 350 feet by 40 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. What are the dimensions of the scale drawing? Enter your answer as length by width.
Answer:
70 by 8?
Step-by-step explanation:
lmk if its right lol..
What is the product?
[-3 4 2 -5] x [3 -2 1 0]
Answer:
Answer is C
Step-by-step explanation:
When you multiply the numbers you get the answer.
Answer:
The correct answer is A. I took the test.
The graph of cosine function has an amplitude of 4 and a period of 3x find an equation in the form of y=a cos bx
Answer: f(x) = 4*cos(x*2*pi/3)
Where I assumed that the period is 3, instead of 3x
Step-by-step explanation:
In a general equation like:
f(x) = a*cos(b*x)
a is the amplitude.
b is the angular frequency, which is equal to two pi times the inverse of the period.
In this case, we know that the amplitude is 4, then a = 4.
And the period is 3x (i guess that this is wrong because the period should not depend on the variable, as we will see later), then the frequency is:
b = 2*pi/3x
Replacing these in the equation we get:
f(x) = 4*cos(x*2*pi/3x) = 4*cos(2*pi/3)
Then we have no longer a dependence on x.
If the period is equal to 3, then the frequency will be:
b = 2*pi/3
Then the equation now is
f(x) = 4*cos(x*2*pi/3)
This is a cosine function, as we wanted.
A jar black beans and pinto beans in a ratio of 1 : 4, and 180 of the beans are black beans. How many beans in total are there in the jar?
Answer:
720 beans in total
Step-by-step explanation:
I would set this up with proportions, so-
1 180
4 x
Then cross multiply-
4 x 180 = 720
Divide-
720/1 = 720
720 is your answer
Alonzo's game started at 9:20 AM.
The game lasted 2 hours and 15 minutes.
What time did the game end?
Answer:
11:35 AM
Step-by-step explanation:
Lets start with the hours:
9+2=11
Now the minutes:
15+20=35
Now put them together:
11:35 AM
Answer:
11:35
Step-by-step explanation:
9 plus 2 equals 11
20+15 equals 35
Please help!! Thank you so much
Answer:
I think answer is
b. (2,1)
:-)
is it A B C or D o just need help with that
Answer:
B
Step-by-step explanation:
How do I do this/solve help me if you know it!
Answer:
it should be B, sorry if im wrong! :(
Step-by-step explanation:
Reduce to simplest form.
-7/12 +3/8
Answer:
ok so you should get -5/24 in simplest form.
Decimal form- -0.2083 repeating
Step-by-step explanation:
Hope this helped :)
Part 3 of i need these
Answer:
x=11
a=116°
b=29°
c=35°
hope is helpful
What is the equation of the line that passes through the point (-3,4) and has a slope of zero?
Answer:
y = x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1, thus
y = x + c ← is the partial equation
To find c substitute (- 3, 4) into the partial equation
4 = - 3 + c ⇒ c = 4 + 3 = 7
y = x + 7 ← equation of line
Hope this helps.
11. UZ, VX, and TW are medians of Triangle TUV. If UZ = 21, find UY.
Answer:
UY = 14
Step-by-step explanation:
The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertexIn the given figure
∵ TUV is a triangle
∵ UZ, VX, and TW are medians
∵ UZ ∩ VX ∩ TW at point Y
∴ Y is the point of intersection of the 3 medians
→ By using the 2nd rule above
∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U
∴ UY: YZ = 2: 1
∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]
→ By using cross multiplication
∵ UY × 1 = YZ × 2
∴ UY = 2YZ
∵ UZ = UY + YZ
∴ UZ = 2 + 1 = 3 parts
∵ UY = 2 parts
∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]
→ Multiply both sides by UZ
∴ UY = [tex]\frac{2}{3}[/tex] UZ
∵ UZ = 21
∴ UY = [tex]\frac{2}{3}[/tex] (21)
∴ UY = 14
someone please help
f(x) = 2x2 - 5
and
g(x) = 5x + 7
Find
f(g(x)) = [ ? ]x2 +[ ]x + [ ]
9514 1404 393
Answer:
f(g(x)) = 50x² +140x +93
Step-by-step explanation:
Put the function argument in place of x and simplify.
f(g(x)) = f(5x+7) = 2(5x+7)² -5
= 2(25x² +70x +49) -5
f(g(x)) = 50x² +140x +93
_____
We took advantage of the knowledge that ...
(a + b)² = a² +2ab +b² . . . . . where a=5x and b=7
Solve for the variable.
1. 78 = x - 11
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
add 11 to both sides of the equation
78 + 11 = x - 11 + 11
78 + 11 = x
89 = x
Answer:
x = 89
Step-by-step explanation:
78 = x - 11
+ 11 = +11 <— we add 11 since we are doing inverse operation
89 = x
For the following system of equations, the value of x is______
The system of equation is x + 3y = 6
6x - 6y = 4
PLEASE HELP!!
Answer: x = 2, y = 4/2
Step-by-step explanation:
Solve the System of Equations
x + 3y = 6 6x − 6y = 4
Subtract 3y from both sides of the equation.
x = 6 − 3y 6x − 6y = 4
Replace all occurrences of x with 6 − 3y in each e quation.
Replace all occurrences of x in 6x − 6y = 4 with 6 − 3y.
6 (6 − 3y) − 6y = 4
x = 6 − 3y
Simplify 6 (6 − 3y) − 6y.
36 − 24y = 4
x = 6 − 3y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
−24y = −32
x = 6 − 3y
Divide each term by −24 and simplify.
y = 4/3
x = 6 − 3y
Replace all occurrences of y with 4/3 in each equation.
Replace all occurrences of y in x = 6 − 3y with 4/3
x = 6 − 3 ( 3 )
y= 4/3
Simplify 6 − 3 ( 4 )
x = 2
y = 4/3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(2, 4 /3 )
The result can be shown in multiple forms.
Point Form: 2, 4 /3
Equation Form: x = 2, y = 3
VOO AM
advwritingsystemsquiz (1)
Jan 28, 2021 at 11:04 AM
Two numbers add to 154. The same two numbers have a difference of 24.
match the situationO
Answer:
The answer is 44! The answer is 44!
Step-by-step explanation:
The answer is 44!
Which of the equations can be used to solve for the value of X?
A. 2x = 52
B. 2x + 54 = 90
C. 2x + 52 = 180
D. 2x + 52 + 90 = 180
Answer:
The answer is A.
the angles are opposite angles, therefore they have the same value. they're equal to each other. you set them equal to each other to find the value of x.
Step-by-step explanation:
i hope this helps :)
11) Write an equation of the line that passes through the point (–7, –9) with slope –4.
A. y+7=−4(x+9)
B. y+9=4(x+7)
C. y+9=−4(x+7)
D. y+7=4(x+9)
Answer:
C
I am asian and a jedi master
Help ill mark u brainliest
answer:
8x - 16 + 5x + 15 = 90
and
8x - 6 + 18x + 4 = 180
Can someone help with this?
Answer:
Its the second one
Step-by-step explanation
the reason why is because
<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.
help please help. help help
Answer:
Step-by-step explanation:
10 students participated in a Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz
Solution: Number of girls = x
Number of boys = y
x + y = 10 -------------------(I)
Number of girls is 4 more than the number of boys
x - y = 4 ----------------------(I)
x = 4 + y
Substitute x = 4 +y in equation (I)
4+ y + y = 10
4 + 2y = 10
2y = 10-4
2y= 6
y = 6/2
y = 3
Plug in y = 3 in eqution (I)
x + 3 = 10
x = 10 - 3
x = 7
Number of girls = 7
Number of boys = 3
1 1/2 - (5/6x + 1/3) = 8/9 Really urgent pls help
Answer:
x = 1/3
Step-by-step explanation:
Rewrite the mixed number 1 1/2 as 1 9/18. The denominator here is 18, which is the smallest number divisible by 2, 6, 3 and 9. Then we have:
1 9/18 -(15/18)x - 6/18 = 16/18
or:
27/18 -(15/18)x = 22/18
Clear this of fractions by multiplying all terms by 18:
27 - 15x = 22, or
5 = 15x, or
x = 5/15, or x = 1/3
The value of the equation x = 1/3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
1 1/2 - [ ( 5/6 )x + 1/3 ] = 8/9 be equation (1)
On simplifying the equation , we get
3/2 - ( 5/6 )x - 1/3 = 8/9
Adding (5/6)x on both sides of the equation , we get
( 5/6 )x + 8/9 = ( 7/6 )
Subtracting 8/9 on both sides of the equation , we get
( 5/6 )x = ( 7/6 ) - ( 8/9 )
( 5/6 )x = ( 63 - 48 ) / 54
Multiply by ( 6/5 ) on both sides of the equation , we get
x = ( 15/54 ) x ( 6/5 )
x = 3/9
x = 1/3
Hence , the value of the equation is x = 1/3
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A rope was tied up so that it was only 7 inches long. When the rope is untied, it is 4 times as long. How many inches long is the rope when it is untied?
Answer:
28 inches long
Step-by-step explanation:
just multiply 7 and 4
A baker evenly divides 55 muffins into 9 boxes.
Each box contains
muffins and
muffins remain.
Answer:
each box has 6 muffins and 1 remains
hope this helps! :)
A car rental company’s standard charge includes an initial fee plus an additional fee for each mile driven. the standard charge S (in dollars) is given by the function S = 0.40M +18.95, where M is the number of miles driven.
The company also offers an option to ensure the car against damage. The insurance charge I (in dollars) is given by the function I= 0.15 M + 5.70
Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.
C=
What does ac equal?? ^^
Answer:
C=0.55M+24.65
Step-by-step explanation:
0.40M+0.15M=0.55M
18.95+5.70=24.65
What is the radical form of the expression
2 3/4
Perform the indicated operation. State the domain restrictions
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
Domain has all values of x ( think X marks the spot on your domain) so the restrictions come in those cases from the fact that a fraction can NOT have the denominator 0 because dividing by 0 is not allowed.
5.
here x+1 [tex]\neq[/tex] 0 and x+3 [tex]\neq[/tex] 0 so the domain restrictions are x [tex]\neq[/tex] -1 and x[tex]\neq[/tex] -3
to solve you need to factor x^2 -6x-27
you can do it by using
x^2 - Sx +P = 0 where S= root 1 +root 2 and P = root 1*root2
so in our case Sum has to be 6 and Product -27, what 2 numbers add to 6 and their product is -27? ....-3 and 9; S= -3+9 = 6 and P= -3*9 = -27
it will factor in (x-root 1) (x-root 2)
x^2 -6x-27 = (x+3)(x-9)
[tex]\frac{(x+3)(x-9)}{x+1} * \frac{x+1}{x+3} =\\[/tex]
simplify x+1 and x+3
x-9