Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
The elevation of city A is 72 feet above sea level; the elevation of city C is 24 feet above sea level. The elevation of city D is 1/4
of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D.
Part B: Simplify the expression and explain why the answer is negative or positive.
Answer:
6 ft.
Step-by-step explanation:
If city c is 24 ft above sea level and city d is 1/4 of the elevation all you do is find 1/4 of 24 so the expression would be 1/4 x 24
im not really good at simplifying expressions but it would probably stay the same so the answer would be positive.
hope this helps :)
Answer:
A. 1/4×24 ft
B. 6 ft, the product has no negative factors that would make it negative.
Step-by-step explanation:
A.1/4 of the elevation of city C can be written as ...
(1/4)(24 ft)
__
B.When the expression is simplified, it becomes ...
6 ft
The product of two positive numbers is positive.
would this be A? Im not too sure about this.
Answer:
You're correct
Step-by-step explanation:
Basically, just add the answers with the given 67° until you get 180°
Nadine plans to ride her bike between 12 mi and 15 mi. Write and solve an inequality to model how many hours she will be riding if she will be riding at a rate of 10 mph
Answer:
inequality is:12 ≤ x ≤ 15
Step-by-step explanation:
What is the sun's approximate azimuth when it sets? PLEASE ANSWER I GIVE BRAINLIEST AND 20 POINTS PLEEEEEAAAAAASSSSSEEEEE!!
Answer:
At the equinoxes, the sun rises directly east and sets directly west regardless of the latitude, thus making the azimuth angles 90° at sunrise and 270° at sunset. ... The azimuth angle is like a compass direction with North = 0° and South = 180°.
Step-by-step explanation:
Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
PLEASE PLEASE HELP THANK YOU SO MUCH
Answer: x => 12.8 cm
13 and 13.5
Step-by-step explanation:
The area is equal to or greater than 154 cm^2:
A [tex]\geq[/tex] 154 cm^2
Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm. Let x be the length of the rectangle, so that:
(12)*x = Area
Area => 154 cm^2
(12)*x => 154 cm^2
x => (154/12cm) cm^2
x => 12.8 cm
13 and 13.5 will both meet the criteria.
One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers. What lockers will be left open?
pls help this is due tmrw
Answer:
Lockers 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Question 3 options:
2
3
-2
-3
Answer:
-2.......................
A 66-inch candle burns down in 12 hours. After how many hours will it have burned 5 3/4 inches?
Answer:
9.5 hours
Step-by-step explanation:
What is Calculus ???
Answer:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
Answer:
The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.
Step-by-step explanation:
help asap please
question is below
Step-by-step explanation:
only the second one fulfills the rule that every value of x must have exactly 1 assigned result value (y).
the first option has two different result values (3 and 5) for x = 1.
the third has 2 different result values (3 and 4) for x = 2.
the fourth has 2 different result values (2 and 4) for x = 2, and also 2 different result values (0 and 2) for x = 0.
if a ll b and line c is perpendicular to line a then line b and c are?
Answer:
perpendicular
Step-by-step explanation:
Answer:
Perpendicular
Please help me with this math problem!! :)
evaluate 10-(5-(4-(8-2))
=》The answer is 3.
Steps are in the attachment.
______
Hope it helps :)) ⚜
Answer:
The answer is 3
Step-by-step explanation:
By using PEMDAS, calculate the parenthesis first.
10-(5-(4-(8-2))
10-(5-(4-6)
10-(5-(-2)
10-7
= 3
If f(x) =6(9)^x then f(1/2)=?
Answer: f(1/2) = 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
In order to find f(1/2), we want to substitute 1/2 for x in our equation.
[tex]f(\frac{1}{2}) = 6(9)^{\frac{1}{2} }[/tex]
Then we can solve.
[tex]9^\frac{1}{2}[/tex] = 3, which means our equation is now:
[tex]f(\frac{1}{2}) = 6(3)[/tex]
6 * 3 = 18, so now we have:
[tex]f(\frac{1}{2}) = 18[/tex]
Morgan is buying packages of hotdogs and hamburgers. She is spending a total of $25. Hamburgers cost $9 and hotdogs cost $2. She bought a total of 9 packages.
Morgan wrote the following system of equation to model the scenario:
What does the variable "y" represent?
Step-by-step explanation:
I don't see the equations.
but I can build some myself :
x = number of hamburger packages
y = number of hotdogs packages
x + y = 9
9x + 2y = 25
the first equation tells us after moving y to the right side
x = -y + 9
and that we are using now in the second equation :
9(-y + 9) + 2y = 25
-9y + 81 + 2y = 25
-7y = -56
y = 8
x = -y + 9 = -8 + 9 = 1
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answer:
answer is the number 5
Step-by-step explanation:
First you square root 9 which is 3. Then u 3-1= 2. then u times 2 by 6 which equals = 12. Then minus 7 from this number. 12-7=5 ur number is 5.
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
Need help will give five starst and a thanks and MAYBE just MAYBE a brainleist.
Explain how to use the GCF and the distributive property to rewrite and solve subtraction problems.
Answer:
here u go
Step-by-step explanation:
6973x63 pls explain how u did it!
Answer:
4,39299
Step-by-step explanation:
I multiplied 3 x all the numbers in 6,973, then 6 x all the numbers (I added a 0 before I multiplied, then added both the products and got my answer.
In the given figure, PQ 11 RS, find the value of x.
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
The table shows the relationship between cups of flour and number of eggs needed in a cake recipe.
Which equation represents the relationship shown?
Answer:
you are correct (A)
Step-by-step explanation:
i took this
find the number that makes the ratio equivalent 1:5. 7:
Answer:
35
Step-by-step explanation:
1. We can write the ratios as fractions of: [tex]\frac{1}{5} =\frac{7}{x}[/tex]. Now, we solve for the variable x.
2. (Solving)
Step 1: Cross-multiply.
[tex]1*x=7*5[/tex] [tex]x = 35[/tex]Therefore, the number that makes the ratio equivalent is 35.
Answer:
1:5 & 7:35
Step-by-step explanation:
7 x 5 = 35
When the Johnson family lights candles at 5:00 PM, each candle is 8 inches tall. The height of each candle changes by -3/4 inch for each hour that it burns. How tall will each candle be at 11:00 PM when the Johnsons put the candles out for the night?
Each candle will be___inches tall.
From the information given, it can be deduced that the length of the candle at 11:00PM will be 3.5 inches tall.
Since the family lights candles at 5:00 PM and offs them by 11:00PM, the difference in hours will be 6 hours.
Therefore, the length of the candles at 11:00PM will be:
= 8 - (3/4 × 6)
= 8 - 4.5
= 3.5
In conclusion, the correct option is 3.5 inches tall.
Read related link on:
https://brainly.com/question/25711376
Answer: 3.5
just did it
Step-by-step explanation:
Help me Pls
NONSENSE=REPORT
REAL ANSWER=BRAINLIEST+HEART
PLACE VALUE. VALUE
6. Hundreds. 200
7. Ones. 1
8. Hundreds. 0
9. Hundreds. 800
10. Tens. 60
Urgent…. I need help
You don’t gotta explain
I will mark brainiest asp
Which one is a function?
A.
Step-by-step explanation:
To find out the answer, there is a method that can be used to find out if a line is a function. It is called the vertical line method. And it also has to be per x, One y value has to be there. Analyzing the graphs, the answer should be option A.
jonshelle is developing a new bread recipe. the relationship between cups of water,w, and cups of flour,f, is w= 3/5f. what is the scale to water to flour
Answer:
3:5
Step-by-step explanation:
ratio!
What is dehydration reaction ?
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Answer:
In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.
Step-by-step explanation:
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 4 : 3. Find the number of blue marbles in the bag.
Answer:
9
Step-by-step explanation:
→ Divide the number of red marbles by the ratio of red marbles
12 ÷ 4 = 3
→ Multiply 3 by the ratio of 3
9