Answer:
Two additional solutions are:
(21, 1/3)
(17, 5/3)
Step-by-step explanation:
We have the equation:
x + 3*y = 22
Now we want to find two solutions (x, y).
To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.
Let's isolate x.
x = 22 - 3*y
Now we can change the value of y by a known value, and then solve the equation for x.
For example, if we define:
y = 1/3
then:
x = 22 - 3*(1/3)
x = 22 - 1 = 21
x = 21
Then the point (21, 1/3) is a solution of the equation.
Now let's input another value of y, for example, we can use y = 5/3
(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.
x = 22 - 3*(5/3)
x = 22 - 5
x = 17
Then the point (17, 5/3) is a solution of the equation.
You used 15.6 kWh to recharge an EV at a cost of 11.6 cents per kWh. How
much did you spend to recharge the car?
$180.96
$18.00
$1.36
$1.81
Answer:
1.81
Step-by-step explanation:
the reason is because many may think by using a calculator, and make a mistake by putting 15.6 x 11.6, and think "Oh its 180.96" but they forget that they are multiplying cents, but with money you round the nearest decimal to a cent, so they get 1.81
15.6 x 11.6 = 180.96
flip it and jump the 1 a single spot to the left. (1 80.96)
Now jump the decimal between the 1, and the 8. (1.8096)
Now round the thousandth and ten thousandth to remove the zero and make it one. (1.8096= 1.81)
And that's how you get 1.81
if i'm wrong I need to go back to 5th grade and learn my money and decimals semester.
PLZZ NO LINK IF U GET IT RIGHT I WILL GIVE U A BRIANLY
Answer:
B) f = (6 x 8) + 4
Step-by-step explanation:
Remember this: 1 cup = 8 fl oz
They're asking for the total number of fluid ounces of detergent, and we're given 6 cups and 4 fl oz.
Set up a proportion to find the total number of fl oz from the 6 cups, let variable x be the total oz of the 6 cups:
[tex]\frac{1 cup}{8 oz} = \frac{6 cups}{x oz}[/tex]
The answer should be 48 fl oz, then you add the 4 fl oz to have the total of 52 fl oz.
SORRY just wanted a full break down of the problem solved. I made it too complex than it's supposed to be. Hope my answer helps a bit. :)
Find the slope!
19.) (-3, 4) and (-4,-2)
Answer:
Slope is 6
Step-by-step explanation:
(-3, 4) and (-4, -2)
m=(y2-y1)/(x2-x1)
m=(-2 - 4)/(-4 + 3)
m= (-6)/(-1)
m = 6
Which of the following equations is of a parabola with a vertex at (3.0)?
Answer:
D) y= x^2 +3
Step-by-step explanation:
Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above
Answer:
B. 5x+6y+5z+2
Step-by-step explanation:
3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2
B
help me i really need the help
Answer:
G: 1 3/4
Step-by-step explanation:
you have to divide, 8 3/4 cups by 5 and you get 1 3/4!
Answer:
G. 1 3/4
Step-by-step explanation:
There are multiple ways you can do this, but there's one easy way.
You can convert 8 3/4 to a decimal, which is 8.75.
From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/
Which of the following sentences describes an equilateral triangle?
A:
Two sides are the same length.
B:
Each angle is less than 90 degrees.
C:
One of the angles equals 90 degrees.
D:
The lengths of all three sides are the same.
The cardinal number of {17, 18, 19, 20, ..., 95} is
Answer:
95
Step-by-step explanation:
a cardinal number is anything that is to 70 and the rest of the numbers above 70 are counting by 10s
Find the length of the cable in the diagram below.
Answer:
13.4
Step-by-step explanation:
it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.
A class has five students. What is the probability that exactly two of the students were born on a weekend?
Answer:
This is binomial.
Here n = 5
p = 2/7
mean = np = 5*2/7 = 10/7 = 1.42857
standard deviation = sqrt(npq) = sqrt(5*2/7*5/7) = 1.01015
Step-by-step explanation:
Work Shown.
The probability that exactly two of the five students of the class were born on weekend is 0.2975
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
n = 5
The probability that any student was born on weekend, P(W) = (2 / 7)
and, the probability that any student was not born on weekend
P(W') = {1 - P(W)}
= {1 - (2 / 7)}
= (5 / 7).
Thus, the probability that exactly two of the five students of the class were born on weekend
= ([tex]^5C_2[/tex]) x {P(W)}² x {P(W')}³
= 10 x {(2 / 7)²} * {(5 / 7)³}
= 10 x (4 / 49) x (125 / 343)
= (5000 / 16807)
≈ 0.2975
Learn more about probability here:
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Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
What is the area of a concrete floor that is 110 feet long and 65 feet wide? The floor area is square feet.
Answer:
7150 square feet
Step-by-step explanation:
The area of a rectangle is the length times the width.
110*65=7150
Anyone know this answer Help ASAP
Answer:
The right answer is A (x=2,y=-1)
Please help
A vector is drawn on a grid
Answer:
.....
..
...
..
Step-by-step explanation:
I cant see the grid
A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
Answer:
280cm
Step-by-step explanation:
Given data
Robound= 70%
Initial height= 400cm
Let us calculate the final height after the rebound
=70/100*400
=0.7*400
=280cm
Hence the new height after the rebound is
280cm
3. Which reason can be used to conclude that DFGH is a parallelogram?
a) There are two pairs of congruent opposite angles.
D
b) The diagonals bisect each other.
c) There are two pairs of congruent opposite sides.
d) There are two pairs of opposite parallel sides.
Answer:
D) There are two pairs of opposite parallel sides.
Step-by-step explanation:
A parallelogram is a four-sided plane rectilinear figure with opposite sides that are parallel.
can someone find the length of the spine plss
Answer:
48.2 cm
Step-by-step explanation:
The bottom side of the large triangle has length 78 cm.
The bottom side of the right triangle has length 78 cm/2 = 39 cm.
Now we use the Pythagorean theorem to find the vertical side, the spine.
39² + s² = 62²
s² = 3844 - 1521
s² = 2323
s = 48.2
Answer: 48.2 cm
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Need help on this please asap.
Answer:
This is confusing
Step-by-step explanation:
Please help?
(I learned this way back so I kinda forgot)
Answer:Question
Please help?
(I learned this way back so I kind forgot)
1 Which model represents 2(-3)
figure c represents 2(-3)
Answer:
1 Which model represents 2(-3)
figure c represents 2(-3)
Step-by-step explanation:
Pls answer. I will mark brainliest.
Answer:
true
false
true
false
true
false
Step-by-step explanation:
You wonder what is the average number of credits Le Moyne students take per semester. You speak with the Le Moyne registrar, and they tell you that Le Moyne students take an average of 17 credits per semester with a population standard deviation of 2.5 credits. We plan to take a sample of 49 students and ask each student how many credits they plan to take. Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits. What does the CLT say about the distribution of the sample mean of 49 students
Answer:
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.
This means that [tex]\mu = 17, \sigma = 2.5[/tex]
What does the CLT say about the distribution of the sample mean of 49 students?
It is approximately normal.
The mean is 17.
Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
If you place a 37-foot ladder against the top of a building and the bottom of the ladder is 22 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
29.7 ft tall
Step-by-step explanation:
29.75ft. tall is the building.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
Here, we have,
from the figure , we get,
Hypotenuse = 37 ft.
Base= 22 ft.
Let, the building = height = x ft.
Now , by Pythagorean theorem, we have,
x=√37²-22²
=√885
=29.75
Hence, 29.75ft. tall is the building.
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What is the sum?
46 mins left please help!!!!!
Which value is NOT a solution of x^3 + 64 = 0
Submit
IM.MP3.PC.2020-2021
Question: 1-2
Examine the polygons on the coordinate plane.
162
Select the triangle that represents a translation of
GHK.
B В
A
H
D
B
Ο Ο Ο Ο
C С
A
С
Answer:
can you send a picture please
A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?
Answer:
∠A = 42°
Step-by-step explanation:
sin ∠A = 12/18 = 0.6667
∠A = 41.81°
Answer:
42 degrees
Step-by-step explanation:
Completing the table
Find the distance between the pair of points (2,-1) and (-5,-5)?
Answer:
down 4 and over 7 so 11
Step-by-step explanation:
What is the area of the obtuse triangle given below?
2 9
Answer:
The area is 9 unit squared
Step-by-step explanation:
Given
The right parameters are:
[tex]Base = 2[/tex]
[tex]Height = 9[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 2 * 9[/tex]
[tex]Area = 9[/tex]
Hence, the area is 9 unit squared