Answer: X = 2, and Y = 1.
Step-by-step explanation:
To solve this system of equations, we can use the substitution method. We can solve for one variable in one equation and substitute that expression into the other equation. Then we can solve for the remaining variable.
From the first equation, we can solve for y:
y = 6x - 11
Now we can substitute this expression for y in the second equation:
2x + 3y = 7
2x + 3(6x - 11) = 7
Simplifying this equation, we get:
2x + 18x - 33 = 7
20x = 40
x = 2
Now we can use this value of x to find y:
y = 6x - 11
y = 6(2) - 11
y = 1
Therefore, the solution to the system of equations is (2, 1).
Answer:
x=2
y=1
Step-by-step explanation:
Write the equation in standard form for the circle passing through (2,6) centered at the origin.
==========================================================
Explanation:
The center is the origin, so (h,k) = (0,0).
The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2
(x-h)^2 + (y-k)^2 = r^2
(2-0)^2 + (6-0)^2 = r^2
2^2 + 6^2 = r^2
4 + 36 = r^2
40 = r^2
r^2 = 40
We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.
------------------
Since h = 0, k = 0, and r^2 = 40, we can say:
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 40
x^2 + y^2 = 40
A rabbit weighs 2.8 kilograms. How many grams does the rabbit weigh? Use the number of zeros of the product when multiplying a number by
power of 10 to help you. (1 point)
2,800 grams
28 grams
28,000 grams
280 grams
Answer:
Option A
Step-by-step explanation:
Given data
We are told that the weight of the rabbit is 2.8 kilograms
We also want to convert from kilograms to grams
We know that 1kg= 1000 grams
Hence 2.8 kg= x gram
Cross multiply
x= 2.8*1000
x= 2800 grams
Hence the weight in grams is 2800grams
Option A is correct
Answer:
it is A
Step-by-step explanation:
2,800
please help!! I need help with this math angle stuff
Answer:
A:
1,5
2,6
3,7
4,8
B:
1,8
2,7
C:
3,6
4,5
Answer:
A) 2 & 8 1 & 7
B) 1 & 8 2 & 7
C) 3 & 6 4 & 5
Step-by-step explanation:
How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?
Answer:
for step of kepp of yours alive
6/54-x = 5/x
x=____
Answer:
x=−44/9
Step-by-step explanation:
6/54−x=5/xx
Simplifies to:
−x+1/9=5
Let's solve your equation step-by-step.
−x+1/9=5
Step 1: Subtract 1/9 from both sides.
−x+1/9−1/9=5−1/9
−x=44/9
Step 2: Divide both sides by -1.
−x/−1=44/9/−1
x=−44/9
4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)
(This is Trigonometry)
What is the y-intercept? y = -1/3x + 4
Answer:
4
Step-by-step explanation:
the y intercept is never with another variable, -1/3 would be the slope
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
A light bulb manufacturer claims that the lifetime of the bulbs is normally distributed with a mean of 5000 hours and a standard deviation of 250 hours. If 20000 bulbs are produced on a particular day, what percentage of the bulbs will have a lifetime of between 4750 and 5500 hours?
Answer:
88
Step-by-step explanation:
Write as a fraction greater than one. (an improper fraction)
HURRY PLZZZZZZZZZZZZZZZ. ill mark brailyist thingy
Answer:
13/3
Step-by-step explanation:
The formula to calculate that is 4*3+1=12+1=13/3 so the answer is 13/3.
Answer:
13/3
Step-by-step explanation:
(4x3+1)/3
=(12+1)/3
=13/3
solve 256^(x+2)=16^(3x-1)
x=
i will mark u brainles if you're correct
9514 1404 393
Answer:
rules of exponents apply
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Applying those rules to the given equation, you get ...
[tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]
please help me please do them all its just thrree
Step-by-step explanation:
hope this helps. I worked out then posted.
Jaxon invested $960 in an account paying an interest rate of 6.1% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,720
Answer: 10 years
Step-by-step explanation:
1720=960(1+0.061/12)
PLEASE HELP ME!
Answer in as much detail as needed please! Im giving 15 points for the best one!
Step-by-step explanation:
The answer is 220in^2 and hope it's useful and helpful to you.
Use the following table to find the Rate of Change.
Answer:
x=1 and y= 6
Step-by-step explanation:
and for y its a positive cause their both negitives
Consider the system of equations.
8x+2y=8
y= −4x+4
The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.
then both equation r same after we re arrange it so no result
What is the input value for which f(x)=3?
Answer:
According to the graph −3 is the point (5,−3)left parenthesis, 5, comma, minus, 3, right parenthesis. In other words, f(5)=−3f, Therefore, the answer x=5
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
Which equation is true?
Answer:
i think its the 3rd option
anyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
on monday, johnny had $30 in his lunch account. On Friday, he had $15 in his account.
Answer:
Im a little confused as to what the question is
Step-by-step explanation:
I believe that maybe your question was, "how much money is the lunches at the school?" if so.. I can help.
If he spent $15 for 5 days, and we are assuming he had lunch every day....
$15 divided by 5 equals $3.
The school lunches are $3.
Solve 4/y=2/11 plz i need answer
2. Jules conducted a survey and asked 100
people how many years of education they have
and what their annual income is. She used the
results to make a scatter plot.
What type of assoastion should she expect to see in the scatter plot
1.309 > 1.315 lololoolollooolllllllllllllllllllll
Answer:
I’m confused on what you want me to do but that is false
Step-by-step explanation:
Answer:
the answer is 1.309<1315
An inlet pipe can fill a water tank in 12 hours. An outlet pipe can drain
the tank in 20 hours. If both pipes are mistakenly left open, how long will
it take to fill the tank?
============================================================
Explanation:
Let's consider the tank's full capacity is 240 gallons. I'm picking this number because 12*20 = 240.
If the tank is 240 gallons, then the inlet pipe can fill it at a rate of 240/12 = 20 gallons per hour. Note after 12 hours, we have 12*20 = 240 gallons filled assuming the outlet pipe is sealed shut.
At the same time, the outlet pipe is draining at a rate of 240/20 = 12 gallons per hour. After 20 hours, the outlet pipe would drain out 12*20 = 240 gallons assuming the inlet pipe is not adding any water.
With the two pipes playing this tug-of-war battle, the inlet pipe ultimately wins because it's adding more gallons of water each hour, compared to the amount drained per hour. The net change is +20-12 = 8 gallons per hour.
This means it will take 240/8 = 30 hours to fill the tank with both pipes open.
----------------------------------
Another approach:
The inlet pipe can fill the tank in 12 hours, so it gets 1/12 of the job done per hour. The outlet pipe drains the tank in 20 hours, so it gets 1/20 of the job done in one hour.
The net change is 1/12 - 1/20 = 5/60 - 3/60 = 2/60 = 1/30
This means that when both pipes are open, 1/30 of the job is done per hour. By "job", I mean "filling the tank".
If x is the number of hours needed to do one full job, then we can multiply that by the unit rate (1/30) and set the result equal to 1
(rate)*(time) = 1 job
(1/30)*x = 1
x = 30*1
x = 30
It takes 30 hours to do the job with both pipes open.
What is the slope of the line through the points (2, 5) and (6, 13)?
Answer:
Step-by-step explanation:
Rule: Y2 - Y1 / X2 - X1
m= 13-5 ÷ 6-2
=8/4 =2
Hope it helps! :D
While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
2.5 quarts or 5/2
Step-by-step explanation:
Answer:
2/5 quarts or 0.4 quarts
Step-by-step explanation:
there are 25 persons
she made 10 quarts soup
10 quarts / 25 persons = 2/5 quarts = 0.4 quarts
What is the approximate volume of a cone with height of 6 mm and a radius of 18 mm use 3.14 to approximate pi and express your final answer to the nearest hundredth
Answer: 2034.72
Step-by-step explanation: i got 100% on the quizz and it is correct.
2/3 of all your books are fiction. 1/6 of those are historical fiction.
What fraction of all your books are historical fiction?
1/9
1/18
1/3
1/2
Answer:
1/9
Step-by-step explanation:
2/3 x 1/6 = 2/18 or 1/9