Answer:
2,172 adults
Step-by-step explanation:
Let adults = x
children = y
x + y = 5400
9.5x + 6.5y = 41,616
Let's use the elimination method to solve this.
Multiply the top equation by -6.5
(x + y = 5400)-6.5
-6.5x - 6.5y = -35100
This will allow us to eliminate the y and add up the other terms
9.5x + 6.5y = 41,616
-6.5x - 6.5y = -35100
3x = 6516
Divide both sides by the coefficient, 3, to isolate the variable, x
3x/3 = 6516/3
x = 2172
the legs of a right triangle are 75 and 100. what is the length of the hypotenuse
Hey there! I'm happy to help!
To find the hypotenuse of a right triangle given two legs, you use the Pythagorean Theorem.
a²+b²=c², where a and b are the legs and c is the hypotenuse.
Let's plug our values into the equation and solve for c (our hypotenuse).
75²+100²=c²
Square the numbers
5625+10000=c²
Add them
c²=25625
Square root both sides
c=125
Have a wonderful day and keep on learning! :D
Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =
Answer:
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptTherefore, the equation is y = -9x + 6.
What’s the figure please
Answer:
b
Step-by-step explanation:
it doesn't go to the y or x axis so B is it
Use the formula y = 2xz + x + z to find y when x
3 and z = 6.
Do not include y = in your answer.
Answer:
Y=45
Step-by-step explanation:
Y=2xz+x+z
Y=2×3×6+3+6
Y=36+9
Y=45
50 POINTS PLUS BRAINLIST
20-22
IN each figure P bisects the segment. Find the value of each variable
20.
PLEASE HELP!!
Answer:
20.
As P is the mid point so
2x + 3 = x + 7
transpose
2x - x = 7 -3
x = 4
21.
4x + 3 = 8x - 11
transpose
4x - 8x = -11 -3
-4x = -14
x = 14/4
x = 7/2
x can also be 3.5
22.
7x - 3 = 5x + 2
transpose
7x - 5x = 2 + 3
2x = 5
x = 5/2
x can also be 2.5
Answer and Step-by-step explanation:
19.
We see that AB bisects PQ, forming the two angles we are given. These two added together is equal to 180 (because they are supplementary angles, which add up to 180 degrees).
So, add them together, set it to 180, and solve for x.
6 + 2x + 4 = 180
Combine like terms.
10 + 2x = 180
Subtract 10 from both sides from the equation.
2x = 170
Divide by 2 on both sides of the equation.
x = 85 <- This is the answer.
For the following problems, since we know that point P is bisecting the segments, it means that it is splitting the segment in half, creating two equal parts. This means that all we have to do is set the two segments equal to each other.
20.
2x + 3 = x + 7
Subtract 3 and subtract x from both sides of the equation.
x = 4 <- This is the answer.
21.
4x + 3 = 8x - 11
Add 11 and subtract 4x to and from both sides of the equation.
14 = 4x
Divide by 4 from both sides of the equation.
x = [tex]\frac{14}{4} =\frac{7}{2} =(3.5)[/tex] < - This is the answer.
22.
7x - 3 = 5x + 2
Subtract 5x from both sides of the equation and add 3 to both sides of the equation.
2x = 5
Divide both sides by 2.
x = [tex]\frac{5}{2} = 2.5[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Maggie needs to spend at least six hours each week practicing the piano. She already practiced 3 1/4 hours this week. She wants to split the remaining practice time evenly between the last two days of the week. Which inequality best determines the minimum number of hours she needs to practice on each of the two days.
Answer:
Let X equal the remaining time she needs to practice.
You would have 2x
The combined total needs to be 6 hours or greater.
You need to add the amount she already practiced to 2x.
Now you have: three and one fourth + 2x
This needs to be greater than or equal to 6.
Ans:- three and one fourth + 2x ≥ 6
5.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
A. exponential; y = 89 • 0.62x
B. linear; y = 0.62x + 89
C. quadratic; y = 0.62x2 + 89
D. quadratic; y = 89x2 + 0.62
Answer:
A. exponential; y = 89 • 0.62x
Step-by-step explanation:
exponential; y = 89 • 0.62^x
Answer:
Option B exponential y = 89 · 0.62x
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five year period.
Year Number of deers
0 89
1 55
2 34
3 21
4 13
Now we have to find the model representing this situation. Difference in number of deer, in the forest.
We can see there is a common ratio between each successive term r = = 0.618
r = = 0.618
so it can be represented by an exponential model.
Fill in the blank with the correct response.
3
of a =
then I
5
24
Answer:
8 is the answer
have a great day
Answer:
x = 8
Step-by-step explanation:
Hi there!
[tex]\displaystyle\frac{9}{24}=\frac{3}{x}[/tex]
9/24 can be simplified by dividing both the numerator and denominator by 3:
[tex]\displaystyle\frac{9\div3}{24\div3}=\frac{3}{x}\\\\\\\frac{3}{8} =\frac{3}{x} \\\\\\x=8[/tex]
Therefore, x is 8.
I hope this helps!
dentify the error in finding the distance between A(6,2) and B(1,−4).
Find the missing variable if 13-4x=1-x
Answer:
X=4
Step-by-step explanation:
Move the variable to the left side
13-4x+x=1
Subtract 13 on both sides
13-4x+x=1
-13 -13
Collect the like terms
-3x= -12
Divide both side4s by -3
-3x/-3= -12/-3
Answer:
X=4
Write the conjugate of the following complex
number:
-3 + 2i
Answer:
-3 - 2i
Step-by-step explanation:
conjugate of a+bi is a-bi, so conjugate of -3 + 2i = -3 - 2i
please help me is for my homework
Answer:
[tex]\frac{9}{25}[/tex]
Step-by-step explanation:
to covert persentage to fraction we must divide it by 100
[tex]\frac{36}{100}[/tex] now we have to simplify it divide by 2 till you get simplified
the last simplified answer is : [tex]\frac{9}{25}[/tex]
5^2x = 3(2^x) find x
Answer:
Step-by-step explanation:
[tex]5 ^{2x} = 3(2^{x} )[/tex]
[tex]x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \mathrm{ }:\quad x=0.43496 \right)[/tex]
Find the value of the question mark.
Answer:
?= 60
Step-by-step explanation:
yep, that's the answer
Harry and Rory are both given the same amount of money for their birthdays.
Harry spends 60% of his and has £8 left.
Rory spends 35% of his.
How much does Rory have left?
Answer:
21 Harry picks his National Lottery numbers by choosing the first six prime numbers.
Step-by-step explanation:
HELPPPP- PLS The architecture student counted the number of bricks in each building in her neighborhood. Use the data to complete the histogram below. Bricks per building 2 6 12 20 25 25 28 30 31 32 37 37 43 45 Click to set the height of a missing bar. Bricks per building 5 4 1 Number of buildings 2. 0-9 10-19 20 - 29 30-39 40 - 49 Number of bricks
Answer:
#1. it is 25
#2. It is 0-9
Why is it helpful to use a problem-solving plan to solve problems?
Answer:
its helpful to plan out what youre going to do before you do it, as it can get confusing and you may get lost in the process if you dive right into it
(1+sin2A+cos2A)^2=4cos^2A(1+sin2A)
Answer:
(1+sin2A+cos2A) ^2=4cos^2A(1+sin2A)
Step-by-step explanation:
Here,
L.H.S=(1+sin2A+cos2A)^2
=(1+2sinAcosA+2cos^2A-1)^2
=(2sinAcosA+2cos^2A)^2
={2cosA(sinA+cosA)}^2
=4cos^2A(sinA+cosA)^2
=4cos^2A(sin^2A+2sinA.cosA+cos^2A)
=4cos^2A(sin^2A+cos^A+2sinAcosA)
=4cos^2A(1+sin2A)
=R.H.S
Hence,L.H.S=R.H.S.
(1+sin2A+cos2A)^2=4cos^2A(1+sin2A).
proved.
Does the graph represent a function? Khan Academy
Answer:
yes
Step-by-step explanation:
try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function
Answer:
This graph represents a function
Step-by-step explanation:
By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test. The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.
if anyone can answer the first 5 questions please
Step-by-step explanation:
steps are in picture above.
Note:if you need to ask any question please let me know.
How hectometers equals 102 what
Given the function f(x) = f(x - 1) + f(x - 3) for x > 1. Given that f(0) = f(1) = f(3) = 1. Find the value of f(4). Please include an explanation. Thanks! =)
Step-by-step explanation:
[tex]f(x)=f(x-1)+f(x-3)[/tex]
Substitute x=4,
[tex]f(4)=f(4-1)+f(4-3)=f(3)+f(1)=1+1=2[/tex]
A class adviser surveyed 35 of his students on what kind of pets they have at home he found out that 15 have dogs 12 have cats and 8 have birds 5 have dogs and cats 4 have dogs and birds and 2 have cats and bids.how many have dogs ONLY
Step-by-step explanation:
With Dogs only: 15 - (5+4) = 6
With Cats only: 12 - (5+2) = 5
With Birds only: 8 - (4+2) = 2
With dogs and cats: 5
With birds and dogs: 4
With cats and birds: 2
With dogs, cats, and birds : 0
Total students surveyed: 35
6 + 5 + 2 +5 + 4 + 2 = 24 students with pets
35 - 24 = 11 students have no pets
Answer:
The answer is only 6 have dogs
Step-by-step explanation:
B + C + D - B∩C - B∩D - C∩D + B∩C∩D + x = 35
8 + 12 + 15 - 2 - 4 - 5 + 0 + x = 35
With Dogs only: 15 - (5+4) = 6
Just in case, we can calculate the others too:
With Cats only: 12 - (5+2) = 5
With Birds only: 8 - (4+2) = 2
With dogs and cats: 5
With birds and dogs: 4
With cats and birds: 2
With dogs, cats, and birds : 0
Total students surveyed: 35
6 + 5 + 2 + 5 + 4 + 2 = 24 students with pets
35 - 24 = 11 students have no pets
x= 3(y-b)/m solving for y
its 3(y-b) over m
Answer:
Given:
x = 3(y - b)/mSolving for y in steps
Multiply both sides by m:
mx = 3y - 3bAdd 3b to both sides:
mx + 3b = 3yDivide both sides by 3:
(1/3)mx + b = yy = (1/3)mx + b(PLEASE ANSWER ASAP I JUST NEED TO CHECK MY ANSWER PLEASE EXPLAIN ALSO)
Answer:
1 hour and half an hour
Step-by-step explanation:
cause 3 hours minus 1 hour minus half an hour equal to 1 hour and half, hope this help u
35 is 26% of what number?
Answer:
134.61 is the answer . hope This helps
Answer:
The answer is 134.61
Step-by-step explanation:
We have, 26% × x = 35
Or, 26/100 × x = 35
We have: x = 35 × 100/26
35×100 = 3,500
3,500 ÷ 26 = 134.61
x = 134.61
If you use a calculator, simply put 35×100÷26, which will give you the answer.
If there are 5380 feet in a mile Express 4000 get In kilometers
please show how you go it
Answer:
ok first there is a problem here there are actually 5280 NOT 5380 feet in a mile. Is this a typo or are you to assume a different length of a mile?
I will stick with the real value of 5280...
5280 feet/ mile * 0.62137119 miles/ km = 3280 f/km
3280 f/km / 4000 feet = .82 km
Step-by-step explanation:
Solve for y.
3(y − 8) + 2 = 8
y =
Answer:
y = 10
Step-by-step explanation:
3(y − 8) + 2 = 8
3y - 24 + 2 = 8
3y - 22 = 8
3y = 8 + 22
3y = 30
y = 10
Help me pleaseee!!
Would appreciate ^^
**BRAINLIST, thanks and points***
I have a question: I have to write an assessment in maths and English and I wonder what kind of topics will come up? Like what should I learn and if anyone has a practice sheet or something.. (sixth from/College)
3 more than the quotient of a number and 5 is 4
Answer:
let n= the number
n÷5 +3=4
Step-by-step explanation: