Answer:
800 euros
Step-by-step explanation:
First, let's start by finding Jonathan's weekly pay
So, we know that 960 euros is (120/100) times the pay that he got last year.
So we multiply 960 by the reciprocal of 120/100 which is 100/120 or simplified to 5/6. 960*5 = 4800. 4800/6=800.
So Jonathan's weekly pay was 800 euros last year.
Tess is wrong because she multiplied 960 by 4/5 because she thought this meant that Jonathan got paid 4/5 of what he gets per week this year which is what she thinks he got paid last year. You are supposed to multiply it by 6/5 rather than 4/5 because 20 percent more than 100 is 6/5 rather than 4/5.
what does 10 with a little 4 on the top mean
Answer:
They are called exponents, they multiply the number itself (the bigger number) so the answer to 10 with a little 2, means 10x10 or "100"
Answer:
Using exponents is a short way of saying “multiply the number by itself.” The little number up above tells you how many times to multiply the number by itself. So 10 2 means 10 x 10, or 100. ... (Each time you have an exponent of 10, the little number up above tells you how many zeros there will be in the answer).
Jerome was curious if \triangle ABC△ABCtriangle, A, B, C was congruent to \triangle FED△FEDtriangle, F, E, D, so he tried to map one triangle onto the other using transformations: Jerome concluded: "It's not possible to map \triangle ABC△ABCtriangle, A, B, C onto \triangle FED△FEDtriangle, F, E, D using a sequence of rigid transformations, so the triangles are not congruent." What error did Jerome make in his conclusion?\
Answer: C
Step-by-step explanation: I just did it on Khan Academy.
Answer:
C
Step-by-step explanation:
I got it correct on Khan.
*PLEASE ANSWER* What is the area of minor sector AOB?
===========================================================
Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A
containing 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing
520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so
that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer: Bonnie can make 40 treat bags. Each treat bag has three pieces of Candy A, 11 pieces of Candy B, and 13 pieces of Candy C.
Step-by-step explanation:
Since there's no number of student's in her child's class, I did this:
I found the common factors of 120, 440, and 520. And found out that the GCF (greatest common factor) is 40.
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
After finding out that the GCF is 40, I took the numbers 120, 440, and 520, and divided them by 40.
120 divided by 40 = 3
440 divided by 40 = 11
520 divided by 40 = 13
Therefore Bonnie can make 40 treats bags with no candy pieces left behind.
You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer:
20
Step-by-step explanation:
Once you give 1 candy to each of the 4 kids, you will have 3 remaining. The number of ways those can be distributed to 4 kids is given by ...
(n+k-1)C(n)
where n is the number of candies, and k is the number of kids. "aCb" is the number of ways a can be taken b at a time:
aCb = a!/(b!(a-b)!)
For n=3 and k=4, this is ...
(3+4-1)C(3) = 6C3 = 6!/(3!·3!) = 20
There are 20 ways to distribute 7 candies to 4 kids so that each kid receives at least one.
Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on
Answer:
c
Step-by-step explanation:
the third picture shows symmetry and equality
Answer:
It's the third picture.
Step-by-step explanation:
This shows the reflection in m.
HELP WITH THIS QUESTION!!(will give thanks)(Your suppose to determine the pattern and then fill in 3 of the rest)(Its the third problem and the 4th one)
Sammy incorrectly solves the equation 1 /3(x+9)=8. Her work is shown below. a. Which step shows an error based on the equation only from the previous step? Select all that apply. A Step 1: 1/3x + 9 = 8 B Step 2: 1/3x = 8 + 9 C Step 3: 1/3x = 17 D Step 4: x = 17 / 3 E Step 5: x = 5 2/3
Answer:
15
Step-by-step explanation:
Answer:
First step is incorrect
Step-by-step explanation:
Just from the very first step Sammy got an incorrect distributive property performed. The factor 1/3 should multiply both terms of the binomial in parenthesis: "x", and also "9", rendering 1/3 x + 3
Time Sensitive Question
Answer:
X< 7/12
Step-by-step explanation:
Answer:
X< 7/12
Step-by-step explanation:
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of the following steps can be used to eliminate the a term? −1(4a + 2b = 19) −4(4a + 2b = 19) −4(a + b = 6) 4(a + b = 6)
Answer:
[tex]-4(a + b = 6)[/tex]
Step-by-step explanation:
Given
[tex]a + b = 6[/tex]
[tex]4a + 2b = 19[/tex]
Required
Eliminate a
Multiply the first equation by -4
[tex]-4(a + b = 6)[/tex]
Add to the second equation
[tex]-4(a + b = 6) + (4a + 2b = 19)[/tex]
Solve brackets
[tex](-4a -4b = -24) + (4a + 2b = 19)[/tex]
Open bracket
[tex]-4a + 4a -4b + 2b = -24 + 19[/tex]
[tex]-4b + 2b = -24 + 19[/tex]
At this point, a has been eliminated;
From the list of given options, the option that answers the question is [tex]-4(a + b = 6)[/tex]
find the perimeter of a rectangle with length 210 meters and width 72 meters
Answer:
564 meters
Step-by-step explanation:
Perimeter is the total length of the sides of the shape.
The formula for finding the perimeter of a rectangle is (length + width) x 2.
(you can also get the same answer by adding the 4 sides of the rectangle, which is length+length+width+width)
Plug in the numbers.
(210 + 72) x2
= 564 meters
Answer:
564
Step-by-step explanation:
Length(l) = 210 meters
width(b) = 72 meters
Perimeter of rectangle(P) =?
Now,
P = 2(l + b)
= 2(210 + 72)
= 2×282
= 564 meters
will mark brainliest 16 − 3k + 4k − 14 =
Answer:
k + 2
Step-by-step explanation:
16 - 3k + 4k - 14
Add -3k and 4k
16 + k - 14
Subtract 16 - 14
k + 2
Hope this helps :)
Answer:
k = -2
Step-by-step explanation:
I'm assuming you are trying to find the value of k. First, let's add the like terms together, because everything is on one side. -3k+4k is equal to k. Now 16 and 14. 16-14 is equal to 2. But, they are all on one side. Suppose we keep k on the left. We have to move two to the other side, and it turns into negative 2. Therefore, k is equal to -2.
Hope this helps!
xx gloriouspurpose xx
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answer: C) [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Step-by-step explanation:
The given system of equations :
[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]
Simplify left side, we get
[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]
Multiplying 2 on equation (iii), we get
[tex]4y-8x=10\ \ ...(v)[/tex]
Subtracting (v) from (iv) , we get
[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]
Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get
[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Rewrite without parentheses. (3y^5z^4-7y^3)(-5yz^6) simplify your answer as much as possible.
Answer:
-15y^6z^{10}+35y^4z^6
Step-by-step explanation:
used an equation calculator
Using significant digits, determine the product of 3.865 and 2.4.
Answer:
3.865 - has 4 significant digits.
2.4 - has 2 significant digits.
Product = 3.865 × 2.4 = 9.276
So,
9.276 has 4 significant digits.
Answer:
D:9.3
Step-by-step explanation:
The other person is right but forgot to round the last number, for significant numbers.
PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17
Let the number = x
Writing the equation you have:
10x + 15 <= -17
Solve for x
Subtract 15 from both sides:
10x <= -32
Divide both sides by 10:
X <= -32/10
Simplify:
X <= -16/5 as a fraction or -3.2 as a decimal
A bag of marbles contains only yellow, blue and green marbles. There are 4 yellow marbles and 2 blue marbles, and 1/3 of the marbles are green. If a marble is picked out at random, what is the probability it will be blue? Please give an answer ASAP!
Answer:
2/9
Step-by-step explanation:
There are 4 yellow marbles and 2 blue marbles = 6 marbles
This is 2/3 of the marbles since 1/3 are green
2/3 of the total marbles are 6 marbles
2/3 * m = 6
m = 6 * 3/2 = 9
1/3 m = green marbles = 1/3 *9 = 3
4 yellow marbles and 2 blue marbles 3 green marbles = 9 marbles
P ( blue) = blue/total = 2/9
Analyze the diagram below and complete the instructions that follow. find tan c
Answer:
The answer is C
A theater offered pre-sale tickets two days before a showing. On the first day, 12
adult and 5 children's tickets were purchased for $114.50. On the second day, 24
adult and 8 children's tickets were purchased for $218. Find the price of an adult
ticket and a children's ticket.
Answer:
Adult ticket: $7.25
Children's ticket: $5.50
Step-by-step explanation:
Set up a system of equations where a represents the cost of an adult ticket and c represents the cost of a child's ticket:
12a + 5c = 114.5
24a + 8c = 218
Solve by elimination by multiplying the top equation by -2:
-24a - 10c = -229
24a + 8c = 218
Add them together:
-2c = -11
c = 5.5
Now, plug in 5.5 as c in an equation to find a:
12a + 5c = 114.5
12a +5(5.5) = 114.5
12a + 27.5 = 114.5
12a = 87
a = 7.25
Answer:
Adult Ticket is $7.25 and Child Ticket is $5.50
Step-by-step explanation:
Lets make 2 equations out of the given information.
a = adults
c = children
Equation 1: 12a + 5c = 114.5
Equation 2: 24a + 8c = 218
We can now multiple Equation 1 by 2 so that we are able to eliminate the value of a.
New Equation 1: 24a + 10c = 229
Equation 2: 24a + 8c = 218
Now we can use subtraction and get a new equation: 2c = 11
Then divide and get: c = 5.5
The cost for a child's or "children's" ticket is $5.50 each. We can fill in the value of the childs ticket and get the value of an adult's ticket as $7.25.
Therefore, Children's Ticket costs: $5.50 & Adult's Ticket costs: $7.25
can somewon help me simplefly it i will mark u brainlist if u get it correct
Answer:
1.25j +5.25
Step-by-step explanation:
2.75j + 2.25 - 1.5j +3
Combine like terms
2.75j -1.5j + 2.25 +3
1.25j +5.25
Answer:
Hey there!
We want to combine the like terms here to get-
2.75j-1.5j+3+2.25
1.25j+5.25
Hope this helps :)
I need some help plz!!!
Answer:
an = a+4n-4
Step-by-step explanation:
Please help me find the missing length of the triangle in the attached image. Thanks!
Answer:
? = 21
Step-by-step explanation:
Parallel lines cut off proportional segments on transversals.
27/? = 18/14
18 * ? = 27 * 14
2 * ? = 3 * 14
? = 3 * 7
? = 21
Answer:
21
Step-by-step explanation:
Determine the domain of the function 9x/x(x^2-36)
Answer:
{ x ≠ ±6 ∪ x ≠ ± 6}
Step-by-step explanation:
x cannot be zero even though x can be cancelled in this expression. Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.
Domain is { x ≠ ±6 ∪ x ≠ ± 6}
Ian has a bank account that earns interest. The value, V, in dollars, of Ian's account after T years can be modeled by the exponential function V(t)=5000(1.025)t.
Ian claims that the value of his bank account grows by an equal factor each year. To prove his claim, which equation must he show to be true?
a) V(t+1)−V(t)=1.025
b) V(t)−V(t+1)=1.025
c) V(t+1)V(t)=1.025
d) V(t)V(t+1)=1.025
Answer:
the correct answer is a one
The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
Calculation of an equationSince The value, V, in dollars, of Ian's account after T years could be modeled via the exponential function V(t)=5000(1.025)t. So for claiming that the value of the bank account should be grown at the equal factor at each year so fir this, the option b is considered.
Therefore, The equation i.e. true is Option b) V(t)−V(t+1)=1.025.
learn more about years here: https://brainly.com/question/20292718
Using coordinates of the labeled points to find a point slope equation of the line
Answer:
y +4= -3 ( x-3)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
The point requested is (3,-4)
y - -4= m ( x-3)
y +4= m ( x-3)
The slope of the line is positive since it goes from the top left to the bottom right
The slope can be found from (0,5) and (3,-4)
m = (y2-y1)/(x2-x1)
= (5 - -4)/(0-3)
= (5+4)/(0-3)
= 9/-3
= -3
y +4= -3 ( x-3)
The slope in all answer choices is 3 or -3.
Since the line is going down, the slope is going to be negative (-3).
Point slope form: y - y1 = m(x - x2)
We are given a point in the question so use it to fill in the equation.
y + 4 = -3(x - 3)
Best of Luck!
Match the pairs of variables with the type of relationship they show. the number of high school seniors and high school graduates the amount of snowfall and the number of voters the number of doctors and the number of nurses correlation without causation correlation with causation
Answer: Correlation without causation.
Correlation with causation: the number of high school seniors and high school graduates
Step-by-step explanation:
Correlation is a term that tells there is a relationship between two quantities.
Causation is a relationship where one quantity is affected by the other.
The number of graduates completely depends on the number of high school seniors.
So, the relationship between the number of high school seniors and high school graduates is a causation.
There is no relation between the amount of snowfall and the number of voters.
The number of nurses depends on the number of doctors but not completely.
It may be possible that the number of nurses will not increase with an increase in the number of doctors in a particular hospital.
So, there is a correlation without causation between the number of doctors and the number of nurses.
Answer:
correlation without causation is the number of doctors
and the number of nurses
correlation with causation is the number of high school seniors
and high school graduates
Step-by-step explanation:
plato
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if
m∠A = α, m∠B = β
Answer: ∠ABD = [tex]\bold{\frac{1}{2}}[/tex]∠C
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180^o\\\\\dfrac{1}{2}\angle A+\dfrac{1}{2}\angle B+\angle D=180^o\\\\\\\text{Solve the system by multiplying the second equation by -2}\\\angle A + \angle B + \angle C = 180^o\\\underline{-\angle A - \angle B - 2\angle D = -180^o}\\.\qquad \qquad \quad \angle C-2\angle D=0\\.\qquad \qquad \qquad \qquad \angle C=2\angle D\\.\qquad \qquad \qquad \quad \dfrac{1}{2}\angle C=\quad \angle D\\[/tex]
Which of the following is a geometric sequence?
1,2,4,8,16....
-3,1,5,9...
4,8,24,96,480,...
O-5,0,10,25,45,...
Answer:
1, 2, 4, 8, 16...
Step-by-step explanation:
To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.
Answer:
Step-by-step explanation:
Each term of a geometric sequence is a multiple of the previous term. For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18. And so on.
1,2,4,8,16.... fits this pattern. The first term is 1 and each succeeding term is 2 times the previous term: 1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump
1/t = 1/t1 + 1/t2 - 1/t3
1/t = 1/60 + 1/80 - 1/90
1/t = 12/720 + 9/720 - 8/720
1/t = 13/720
t = 720/13 hours = 55.38 hours = 55 hours 23 minutes
What are some confounding variables in randomized clinical trials for new medicine for cancer?
Answer:
A confounding variable is an “extra” variable that you didn't account for. They can ruin an experiment and give you useless results. ... For example, if you are researching whether lack of exercise leads to weight gain, lack of exercise is your independent variable and weight gain is your dependent variable.
Step-by-step explanation:A confounding variable is an “extra” variable that you didn't account for. They can ruin an experiment and give you useless results. ... For example, if you are researching whether lack of exercise leads to weight gain, lack of exercise is your independent variable and weight gain is your dependent variable.