-2x+9y=41.... equation 1
-2x-5y=1 ....equation 2
________________
14y=43
y=43/14
y=43/14 in equation 1
-2x+9(43/14)=41
-2x+387/14=41
-2x=41-387/14
-2x=187/14
x=187/-28
x=187/28 , y=43/14
if you want to check your answer
-2(187/28)+9(43/14)=41
The triangle and the rectangle below have the same area.
6 cm
wcm
6 cm
5cm
Calculate the value of w.
Show your working.
I thought it was 10 as triangle do base x height divided by 2
Answer:
look at the photo...........................what happens to the total mass of the atoms involved in a chemical reaction
There won't be any change in the total mass of the atoms involved in a chemical reaction. According to the law of conservation of mass; it states that mass can neither be created nor destroyed in a chemical reaction. So, when atoms participate in a chemical reaction they might displace with other reactants but the total mass will remain the same.
_______
RainbowSalt2222 ☔
A cylinder has a volume of 33,912 units3 and a
height of 12 units. What is the diameter of the
cylinder?
Answer:
60
Step-by-step explanation:
Someone plz help me :(
Answer:
B
Step-by-step explanation:
I only help you because you have nezuko as profile picture
Select the correct domain of the function represented by the graph.
A is the correct answer.
What number does this Roman numeral represent?
XXXII
Answer: 32
Step-by-step explanation:
The roman numeral XXXII is 32 and XXIII is 23.
The number for this Roman numeral XXXII is, 32
Given that,
We have to write the number for this Roman numeral XXXII.
Since, We know that,
X represent in number = 10
I represent in number = 1
Hence, The number for this Roman numeral XXXII is,
⇒ XXXII
⇒ (10 + 10 + 10 + 1 + 1)
⇒ 32
Therefore, the number for this Roman numeral XXXII is, 32
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A researcher wants to study the effect of weather on college students' study habits. On a sunny day, the researcher sits in the quad and records the number of minutes of study per student. Identify the crucial element missing in this design.
In this experiment design, the missing element is the control group.
In most experiments, the researcher will need to have a control group and an experimental group.
The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.
This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.
The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.
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Use completing the square to solve this quadratic equation.
Check all that apply.
x2 + 6x + 9 = 2
A. x = 3 + 4/5
B. x= -3 +2
c. x= 3 - 5
D. =-3-
Step-by-step explanation:
x² + 6x + 9 = 2
(x + 3)² = 2
x + 3 = ±sqrt(2)
x = -3 ± sqrt(2)
so, B and D are correct.
control :
(-3 + sqrt(2))² + 6(-3 + sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) - 18 + 6sqrt(2) + 9 = 2
2 = 2
correct
(-3 - sqrt(2))² + 6(-3 - sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) - 18 - 6sqrt(2) + 9 = 2
2 = 2
correct
(3 + sqrt(2))² + 6(3 + sqrt(2)) + 9 = 2
9 + 2 + 6sqrt(2) + 18 + 6sqrt(2) + 9 = 2
38 + 12sqrt(2) = 2
wrong.
(3 - sqrt(2))² + 6(3 - sqrt(2)) + 9 = 2
9 + 2 - 6sqrt(2) + 18 - 6sqrt(2) + 9 = 2
38 - 12sqrt(2) = 2
wrong.
a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b
Answer:
y= -¾x + 19/4
Step-by-step explanation:
get gradient and substitute
Find the perimeter. Simplify the answer.
Answer:
16c+24
Step-by-step explanation:
4c+4c+7+7+8c+10=16c+24
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
The answer would be 26
Step-by-step explanation:
First I divided the shape to make a rectangle and a right angle triangle, then i calculated the shape of the rectangle which came out to be 20. After that I calculated the area of the right angle triangle which is 6. So The answer would be 6 + 20 = 26
6. The teacher gave this pattern to the class: the first term is 5 and the rule is add 4, subtract 1. Each student says one number. The first student says 5. Victor Is tenth in line. What number should Victor say? (lesson 5.6)
Answer:
D. 21
Step-by-step explanation:
The first terms are ...
5, 9, 8, 12, ...
Each even-numbered term is 3 more than the previous even-numbered term. Then the even-numbered terms are ...
n = 2, 4, 6, 8, 10
an = 9, 12, 15, 18, 21
Victor should say "21."
Ticket sales for for Matilda were 1,120 the first day. The next day, they sold 85 more tickets and made a total income of 2,310. What was the cost per ticket? The cost was dollars per ticket
Answer:
$14Step-by-step explanation:
The difference of sales between the first and the second days is the cost of 85 tickets:
2310 - 1120 = 1190Cost of a ticket:
1190/85 = 14Find the slope of these two points that's the cost
(0,1120)(85,2310)Slope
m=2320-1120/85-0m=14Modeling with Systems how do you do this?
Answer:
The systems model is a process-oriented representation that emphasizes the influences, or flow, of information between modules.
Step-by-step explanation:
A systems model describes how processes interact and what operations these processes perform, but it does not go into details as to how these processes are implemented.
How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird
The number of permutations of the 26 letters of the English alphabet that do not contain any of the strings fish, rat, or bird is 402619359782336797900800000
Let
[tex]\mathcal{E}=\{\text{All lowercase letters of the English Alphabet}\}\\\\B=\overline{\{b,i,r,d\}} \cup \{bird\}\\\\F=\overline{\{f,i,s,h\}} \cup \{fish\}\\\\R=\overline{\{r,a,t\}} \cup \{rat\}\\\\FR=\overline{\{f,i,s,h,r,a,t\}} \cup \{fish,rat\}[/tex]
Then
[tex]Perm(\mathcal{E})=\{\text{All orderings of all the elements of } \mathcal{E}\}\\\\Perm(B)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing bird}\}\\\\Perm(F)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing fish}\}\\\\Perm(R)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing rat}\}\\\\Perm(FR)=\{\text{All orderings of all the elements of } \mathcal{E} \text{ containing both fish and rat}\}\\[/tex]
Note that since
[tex]F \cap R=\varnothing[/tex], [tex]Perm(F)\cap Perm(R)\ne \varnothing[/tex]
But since
[tex]B \cap R \ne \varnothing[/tex], [tex]Perm(B)\cap Perm(R)= \varnothing[/tex]
and
[tex]B \cap F \ne \varnothing[/tex] , [tex]Perm(B)\cap Perm(F)= \varnothing[/tex]
Since
[tex]|\mathcal{E} |=26 \text{, then, } |Perm(\mathcal{E})|=26! \\\\|B|=26-4+1=23 \text{, then, } |Perm(B)|=23!\\\\|F|=26-4+1=23 \text{, then, } |Perm(F)|=23!\\\\|R|=26-3+1=24 \text{, then, } |Perm(R)|=24!\\\\|FR|=26-7+2=21 \text{, then, } |Perm(FR)|=21!\\[/tex]
where [tex]|Perm(X)|=\text{number of possible permutations of the elements of X taking all at once}[/tex]
and
[tex]|Perm(F) \cup Perm(R)| = |Perm(F)| + |Perm(R)| - |Perm(FR)|\\= 23!+24!- 21! \text{ possibilities}[/tex]
What we are looking for is the number of permutations of the 26 letters of the alphabet that do not contain the strings fish, rat or bird, or
[tex]|Perm(\mathcal{E})|-|Perm(B)|-|Perm(F)\cup Perm(R)|\\= 26!-23!-(23!+24!- 21!)\\= 402619359782336797900800000 \text{ possibilities}[/tex]
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Select the correct answer.
Answer:
C
Step-by-step explanation:
ΔFDC and ΔFBA are similar AA Similarity
please help i don't know how to do this
Step-by-step explanation:
y = (x - 4)/x = x/x - 4/x = 1 - 4/x
c = 1
r = -4
done ...
you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds. graph each ratio relationship in the coordinate plane
(im in 6th grade)
In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
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Solve for the value of n
Answer:
n = 8
Step-by-step explanation:
Both given angles are verticale angles therefore they are congruent, so;
9n = 8n + 8
(9n - 8n) = 8
n = 8
Hope this helps!
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he
used 8 cups of flour, how many cups of water did he use?
2 2/3
4
5 1/3
12
Thank u SOOOOOOOOOO much if u helped me
Answer:
he used 5 1/3 everything else is to low or high
Blake's bank statement shows a
balance of $2000.00. Since the
statement date, Blake had
deposits of $1000.00 and $450.00.
He has visited the ATM for
withdrawals of $275,00 and
$40.00 when he took Christie to
the movies. He has written checks
for $47.00, $92.00, $101.00, and
$209,00. What is his account
balance?
His balance is $2,686.00
$2,000.00 + $1,000.00 = $3,000.00 + $450.00 = $3,450.00
$3,450.00 - (($275.00 + $40.00) + (($47.00 + $92.00) + ($101.00 + $209.00)) = $2,686.00
I WILL MARK BRAINLIST IF CORRECT !!
Explain why opening a parachute can slow a skydiver down to a safe landing speed. You can add drawings to aid your explanation
Answer:
There is no air resistance acting in the upwards direction, and there is a resultant force acting downwards. ... There is no resultant force and the skydiver reaches terminal velocity. When the parachute opens, the air resistance increases. The skydiver slows down until a new, lower terminal velocity is reached.
Step-by-step explanation:
(4, -3); slope = -1
Answer:
y + 3 = - x + 4 or y = - x + 1Step-by-step explanation:
Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.
Use point-slope form:
y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4or
y = - x + 1Equation in point slope form
y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1help needed please im stuck
Answer:
a) b^3
b) x^3
Step-by-step explanation:
It can be helpful to think of the exponent as specifying the number of times the base is a factor in the product. Of course, common factors in the numerator and denominator cancel.
a)[tex]\dfrac{b^7}{b^4}=\dfrac{b\cdot b\cdot b\cdot b\cdot b\cdot b\cdot b}{b\cdot b\cdot b\cdot b}=b\cdot b\cdot b=b^{7-4}=\boxed{b^3}[/tex]
__
b)[tex]\dfrac{x\cdot x^5}{x^2\cdot x}=\dfrac{x\cdot x\cdot x\cdot x\cdot x\cdot x}{x\cdot x\cdot x}=x\cdot x\cdot x=x^{6-3}=\boxed{x^3}[/tex]
Order the integers from least to greatest
7, -3, -25, 25, 0, -10,5
A 0.-3.-10.-25.5.7.25
B -25.-10. -3.0.5.7.25
C -3.-10.-25, 0.5.7.25
Answer:
B
Step-by-step explanation:
-25,- 10, -3, 0, 5, 7, 25
question is on picture attached
[tex]7(\frac{9}{4}x- \frac{18}{7})= -\frac{5}{21} +\frac{17}{7}x <=> \frac{63}{4}x-18 =-\frac{5}{21}+ \frac{17}{7}x\\ <=>\frac{63}{4}x - \frac{17}{7}x = 18-\frac{5}{21}<=>\frac{373}{28} =\frac{373}{21} <=>x=\frac{4}{3}[/tex]
ok done. Thank to me :>
Prompt: It's 5:30 AM, and as a helicopter pilot you've just been told there's an injured man on a boat you need to get to a hospital . The boat is going towards where you are a at 10 mph, but is currently 400 miles away. You need to get him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?
Answer:
leave at 1:30 PM
Step-by-step explanation:
10 mph 40 hours 6600/1200 5.5 hr 40/15 2 hr 40 mins 5.5 -.5 =
After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.
What is Speed ?Speed is the rate an object travels in a predetermined period of time.
Its speed is expressed in km/h.
As per the given information in the question,
If the boat goes to the station ,
Speed of the boat = 10mph
it will take 400/10 = 40 hours.
The helicopter has, 6600 lbs of fuel.
It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.
1.5 × 1200 = 1800 lbs of fuel.
So, the amount of fuel helicopter now has
6600 - 1800
= 4800 lbs of fuel.
This will allow it to fly for 4 hours as:
4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.
= 300 miles distance from the station.
The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,
So,
100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.
To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.
So 8 hours of time from 5:30 am will be equal to 1:30 pm.
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Your question seems incomplete, probably the complete question is:
A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.
(8.1 + 7.4) – 25 ÷ 2.5
[tex](8.1 + 7.4) - 25 \div 2.5 \\ = 15.5 - 25 \div 2.5 \\ = 15.5 - 10 \\ = 5.5[/tex]
Answer:5.5
Hope it helps.
Do comment if you have any query.
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{(8.1 + 7.4) - 25 \div 2.5}}\\\large\boxed{= \mathsf{\bold{15.5} - 25\div2.5}}\\\large\boxed{\mathsf{= 15.5 - \bf 10}}\\\large\boxed{\mathsf{= \bf 5.5}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{5.5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A gym is offering a deal to members. Customers can sign up by paying a registration fee of $100 and $28 per month. The function that models this situation is c(m) = 28m + 100, where m is the number of months and c(m) is the cost of becoming a member.
Determine:
6. the shape of the graph
7. the independent and dependent variables
8. the domain and range
9. Interpret the slope and y-intercept values
10. How much will the membership cost for a whole year?
6) The equation given is written in standard form of writing the equation of a line y = mx + b
Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line
7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.
From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)
8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0
28m + 100 > 0
28m > -100
m > -100/28
m > --25/7
The domain is m > -25/7 while the range is c(m) > 0
9) The comparing the equation with y = xm+ b
where x is the slope
28m = mx
x = 28
This shows that the rate of change of cost per member is $28
The y-intercept is the point where the number of months is 0
If m = 0
c(0) = 28(0) + 100
c(0) = 100
The initial cost of membership in the first month is $100
10) Given the formula c(m) = 28m + 100
For a whole year, m = 12
c(12) = 28(12) + 100
c(12) = 336 + 100
c(12) = 436
Hence the membership will cost $436 for the whole year
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A science club has a muffin sale. Each bag has 25 muffins. There are 630 muffins to sell. About how many bags of muffins are there?
Answer: 25.2 or 25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
because you just devide