Answer:
x + y = 400
5x + 9y = 2632
Step-by-step explanation:
Which is equivalent to a+(-a)
Answer:
Step-by-step explanation:
a+(-a)
=a-a
=0
how many questions out of 42 do I need to get right to score 75?
Answer:
31 questions, but it's impossible to score 75%.
Step-by-step explanation:
It's impossible to get exactly a score of 75% out of 42 questions. However, you can get the next closest percentage, which is rounded up to 74% with 31 questions right out of 75.
This is because 31 / 42 = 0.738... You can round 0.738 to 0.74. Then multiply 0.74 by 100, which gives you 74. This means the closest score you can get to 75 is 74% with 31 questions.
You can also score 76% with 32 questions right out of 42 questions. This is because 32 / 42 = 0.761... You can round 0.761 to 0.76. Then multiply 0.76 by 100, which gives you 76.
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
has to be as a fraction help plzz
I hope you guys can help me with this question :)
the sum of five consecutive numbers is 700, what is the first number?
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be x.
Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).
We are given that their sum is 700. Therefore:
[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]
Solve for x. Combine like terms:
[tex]5x+10=700[/tex]
Subtract 10 from both sides:
[tex]5x=690[/tex]
Divide both sides by five. Therefore:
[tex]x=138[/tex]
The first number is 138.
Answer:
138
Step-by-step explanation:
(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700
5n + 10 = 700
5n = 690
n = 138
According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.
Step-by-step explanation:
When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.
However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.
We'll use the binomial distribution formula where n=4, k=4, and P=.6.
nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296
So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704. You could double check this by calculating the prob of the other 4 outcomes and then adding them together.
The probability that at least 2 people have a cat is 0.522 or 52.2%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.
The formula is:
P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]
where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).
For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).
P(2) = (5 choose 2) × 0.3² × 0.7³
P(2) = 0.252
To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.
P(≥2) = P(2) + P(3) + P(4) + P(5)
Substituting the values we get:
P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522
So, the probability that at least 2 people have a cat is 0.522 or 52.2%.
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
JOURNAL 5.3.4.
PLZZZ HELP, I NEED 1-9
Answer:
8?
Step-by-step explanation:
I would like some help pleas
Answer:
Step-by-step explanation:
Student who did not play Volleyball = Students who play only hockey + students who don't play any game
= 5 + 3 = 8
Students who play hockey only = 5
Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .
Answer:
46,213,300 km
Step-by-step explanation:
46,213,267
in the above number ;
7 = units
6 = tens
2 = hundred
3 = thousand
1 = ten thousand
2 = hundred thousand
6 = million
4 = 10 million
to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero
because 6 is greater than 5, add one to the hundred value
= 46,213,300 km
8u^8+(-21u^8)
Helpppp quick
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Solve for R.
3/4r-3 1/4=49/16
Answer:
101/12
Step-by-step explanation:
3/4r-3 1/4=49/16
3 1/4=13/4
3/4r-13/4=49/16
3/4r=49/16+13/4
3/4r=49/16+52/16
3/4r=101/16
r=(101/16)/(3/4)
r=(101/16)(4/3)
r=101/12
Ophelia spins each of the three shown spinners once. What is the
probability that the first spinner will land on A, the second on 4, and the
third on Green? Enter your answer as a fraction in simplest form. Use/to
write your fraction,
Answer:
jaja
yo buscando y vos preguntando
Step-by-step explanation:
Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
Any feature increases when y-value should likewise be increased for the growth of x-values
Each table will be checked
table-1:
That we can see
-3, -2,-1 , 0, 1,2 x increase
And also -6,-3,-1,1,3,6 y increase
It increases, thus,
table-2:
That we can see
-3, -2,-1 , 0, 1,2 x increase
But between -2 and 1, it's asking
The y-values of -4,-1,1,4..... are increasing
This increases, thus,
table-3:
Which we can see
-3, -2,-1 , 0, 1,2 x increase
But y changes between -3 and -5 .....this decreases
This does not increase, thus,
table-4:
we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....
This does not increase, thus,
Answer:
B
Step-by-step explanation:
Graph the following system of inequalities.
y ≤2x + 1
y < -1 - 1
Answer:
Step-by-step explanation:
the first one is the first picture
Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, what will be the coordinates of D''?
A.(-2, -3)
B.(-2, 3)
C.(2, -3)
D.(2, 3)
Answer:
well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer
what is a an expression that contains at least one variable
Answer:
An algebraic expression is a type of expression that contains a variable or variables.
Hey there! Can someone tell me the answer please? Will give brainliest.
Answer:
24 edges, 24 vertices, 8 faces - For that weird Cylender thing.
Step-by-step explanation:
There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.
Answer:
There are 6 faces
One up one down one front one backs one right one left
12 edges and 8 ventricles
In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?
Step-by-step explanation:
everything can be found in the picture
The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn = a +(n - 1)d
where
a is the first termd is the common differencen is the number of termsIf -4 is the first term and 10 is the third term, then;
a = -4
a + d = 10
d = 10 - (-4)
d = 14
Determine the 157th term
T157 = -4 + (157 - 1)(14)
T157 = -4 + (156*14)
T157 = 2180
Hence the 157th term of the sequence is 2180
Learn more on sequence here: https://brainly.com/question/6561461
#SPJ6
6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?
Answer:
-0.0390625
Step-by-step explanation:
each is cut in half
so we do this
20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625
Q. Find the missing side
Answer:
What missing side? You're missing a picture.
(-3) x (+5)
What’s the answer to that? Someone help me please
Answer:
[tex] - 15[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = (- )[/tex]
So,
[tex] (- 3) \times ( + 5) = - 15[/tex]
hope this helps you.
Have a nice day!
Answer:
-15
Step-by-step explanation:
(-3)*(+5) = -15
which shape has 74 sides
Answer:
Heptacontakaitetragon
I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.
PLS HELP!! WILL GIVE BRAINLIEST!!
Answer:
Step-by-step explanation:
take lcm of (2x-1)(x+2)
lcm=(2x-1)(x+2)
=2(x+2)-1(2x-1)/(2x-1)(x+2)
=(2x+4)-(2x-1)/(2x(x+2)-1(x+2)
=2x+4-2x+1/2x^2+4x-x+2
=4+1/2x^2+3x+3
=5/2x^2+3x+3
If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know ASAP
Answer:
Two angles can be vertical and supplementary only if they add up to 90 degrees because there perpendicular.
Step-by-step explanation:
Answer:
90 + 90 = 180, 45 + 45 = 90
Step-by-step explanation:
Supplementary angles add up to 180 and to be vertical angles they need to be equal to each other so 2x = 180
x = 90
Hence both angles will be equal to 90
Complementary angles add up to 90 and as previously stated, to be vertical angles they need to be equal to each other so 2x = 90
x = 45
Hence both angles equal to 45
Hope this helped!
Find the value of x. please help
Answer:
x= 15
Step-by-step explanation:
Since this is an isosceles triangle, the other angle is also 5x-6
The sum of the angles of a triangle is 180
42+ 5x-6 + 5x-6 = 180
Combine like terms
10x+30 =180
Subtract 30 from each side
10x+30-30 = 180-30
10x = 150
Divide by 10
10x/10 = 150/10
x= 15