Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
Joe was looking through a numeric puzzle
book and found the following puzzle. The
sum of two numbers is two. The difference
of the two numbers is also two. What are
the two numbers?
0 and 2
Step-by-step explanation:
If you subtract 2 by 0 then it will equal 2 and if you add 2 to 0, you also have 2.
4, 13, 5, 8, R, 5, 11
In the data set shown, R is an integer. If the median of the data set is 8 and R < 11, what is a possible value
of R?
Answer:
Answers:
R can be either 8, 9 or 10
============================================================
Explanation:
Let's exclude the R value for now.
The set {4,13,5,8,5,11} sorts to {4,5,5,8,11,13}.
Now we'll include R back in. We're told that R is an integer and it's smaller than 11. The possible values R can take on are: {10, 9, 8, 7, ...} The countdown continues forever into the negative territory.
If R < 4, then we go from {4,5,5,8,11,13} to {R,4,5,5,8,11,13}. That R is guaranteed to be the min value since R is less than the smallest value of the previous set. Note that the middle-most item of the second set is 5; however, we want the median to be 8 instead. This allows us to rule out the case that R < 4.
So we've determined that 4 < R < 11. Because R is an integer, we can say it takes on the values from the set {5,6,7,8,9,10}
------------------------------
If R = 5, then {4,5,5,8,11,13} updates to {4,5,5,5,8,11,13} after adding in that R value. We can see the median is 5, so we can rule out the case that R = 5.
Similarly, we can rule out R = 6 as well. The set {4,5,5,8,11,13} updates to {4,5,5,6,8,11,13} in which the median is 6.
If R = 7, then the median is 7 for similar reasoning and we can rule out this R value.
So we've ruled out the cases that R = 5, R = 6 and R = 7.
If we tried R = 8, then {4,5,5,8,11,13} becomes {4,5,5,R,8,11,13} = {4,5,5,8,8,11,13}. This set has a median of 8 and R = 8 is one of the answers.
-------------------------------
Now let's consider the possibility that 8 < R < 11.
If for instance R = 9, then {4,5,5,8,11,13} becomes {4,5,5,8,9,11,13} to show that this set also has a median of 8. R = 9 is another answer.
The same idea happens when R = 10 as well because we get {4,5,5,8,10,11,13}. R = 10 is another answer.
-------------------------------
In short, R can be any of the following values: 8, 9, 10
From 11 friends to 12 friends find the percent
Answer:
109.090909%
Step-by-step explanation:
Answer:
9.09091%
Step-by-step explanation:
From 11 friends to 12 friends find the percent
from 11 friends to 12 friends. The number of friends is increased by 1.
To get the percentage of increase:
(12 - 11) / 11 = 1 / 11 = * 100% =
The increase of 1 friend is equivalent to 9.09091% increase
11 is the basis. It is the 100%
1 is the increase. It is the 9.09091%
12 is the total number of friends.
Factor (x^2-9) (x^2-16)
Answer:
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Step-by-step explanation:
( x^2 - 9 ) ( x^2 - 16 )
( x - 3 )( x + 3 ) ( x - 4 )( x + 4)
Hopefully this helps!
Brainliest please?
[tex](x^2 -9)(x^2 -16)\\\\=(x^2 -3^2)(x^2 -4^2)\\\\=(x+3)(x-3)(x+4)(x-4)[/tex]
Find the perimeter. Simplify your answer.
Answer:
Step-by-step explanation:
p = 10x + 2 + 7x - 6 + 8x
p = 25x - 4
Answer:
To Find the perimeter we add all the sides,perimeter = 10x + 2 + 7x - 6 + 8x
= 25x - 4...ans
Step-by-step explanation:
Hope it Helps you!!is the equation y=3x^3+5 a linear or nonlinear?
Answer:
It is not linear. It is cubic since the highest exponent is 3.
james has a rope that is 7 1/2 meters in length. He must cut the rope into 1/2 meter strips for a home improvement project he is working on. How many 1/2 meter strips can he cut?
Answer:
He can cut 15 1/2 meter strips.
Step-by-step explanation:
10 1/2 meter strips are 5 meters in length.
5 1/2 meter strips are 2.5 meters in length.
5 + 2.5 = 7.5 meters in length
Find the number whose 1/3 part exceeds its 1/4 part by 12
Answer:1/5
Step-by-step explanation:
not entirle sure but yeah
helpppppp asapppppp pls
A: 80°
B: 75°
C: 110°
D: 95°
Answer:
A. 80 degrees
Step-by-step explanation:
the equation at the top tells you that they are the same shape so you just need to find which angle one the first shape is equal to the angle H
Please help me with this
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Find the third side in simplest radical form:
Step-by-step explanation:
[tex]by \: pythogorus \: law \\ {x}^{2} = ( { {29}^{2} - {21}^{2} })^{ \frac{1}{2} } \\ = \sqrt{20} \\ = \sqrt{4 \times 5 } \\ = 2 \sqrt{5} [/tex]
What shape has 5 faces, 6 vertices and 9 edges.
Answer:
Triangular prism
Step-by-step explanation:
23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
noodles in it. She plans to split the box up evenly amongst the students. How many noodles will each student
have to make their smiley face?
Answer:
12 noodles
Step-by-step explanation:
If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:
276÷23=12
276 noodles divided by 23 children = 12 noodles per child.
Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.
Iterative is used when the equations cannot be solved simply.
The given value is put in the equation to solve.
Walter estimation is incorrect.
No, both 3. 61^2 and 3. 62^2 are greater than 13.
First he checks that is 13 between 3.61 and 3.62.
But suppose he cannot because he wants to use iteration.
Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.
3.61² = 13.0321 and
3.62² =13.1044
We see that when both the numbers are squared then the answer in each case is greater than 13.
Therefore 13 cannot lie as both numbers are greater than 13.
Hence 13 does not lie between 3.61 and 3.62
From the given choices the best choice is No, both 3. 61^2 and 3. 62^2 are greater than 13.
The iterative can also be understood by the following links.
https://brainly.com/question/5236989
https://brainly.com/question/20275487
pls help asap! i will mark brainliest!
Step-by-step explanation:
that simply means that D is the middle point of AC.
and that means that both sides of D are equal long :
x + 8 = 2x - 17
25 = x
therefore
AB = x - 7 = 25 - 7 = 18
A binomial experiment consists of 14 trials. The probability of success on trial 7 is 0. 55. What is the probability of success on trial 11?.
Answer: Using the conditions required for a binomial experiment, the probability of success is the same for each trial in the experiment, Hence, the probability of failure on trial 11 will be 0.16 . The probability of success, p = 0.84; the probability of failure can be expressed as; p(failure) = 1 - p(success) = 1 - 0.84 = 0.16 . The probability of success or failure in each and every trial of a binomial experiment is the same and hence, does not change from trial to trial. Therefore, the probability of failure in the 11th trial is 0.16.
Step-by-step explanation: Generally, one the attributes of a binomial experiment is that the probability of success and failure is constant every trial so given from the question that the probability of success is 0.84 for trial 7, then the probability of failure of trial 7 will be evaluated as => q=1-0.84. q=0.16. And from the attribute stated above the probability of failure of trial 11 is q=0.16
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many adults?
Answer:
5:3....added = 8
5/8(144) = 720/8 = 90 adults
3/8(144) = 432/8 = 54 children
Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough
Answer:
11 hours
Step-by-step explanation:
First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.
What is the second step in solving the equation
slm
+7= 5?
Subtract 7 from each side.
Divide each side by 3.
Add 7 to each side.ch
O Multiply each side by 3.
Answer:
subtract 7 from each side
Step-by-step explanation:
Answer:
Subtract 7 from each side.
Step-by-step explanation:
x+7 = 5x+7-7 = 5-7x = -2Please help with this dilation
Answer:
k= 1/4 m=16
Step-by-step explanation:
7 over 28 is 1/4 and 4 times 4 is 16
What is the slope for this table?
Answer:
Slope=5
Step-by-step explanation:
Using slope formula, we have -9-(-14)/-1-(-2) which is 5/1, so our slope is 5
Answer:
slope is 5
Step-by-step explanation:
get 2 points and apply:
(-14-(-9))/(-2-(-1))=-5/-1=5
Suppose that a box contains one fair coin (Heads and Tails are equally likely) and one coin with Heads on each side. Suppose further that someone else selects one of the two coins at random, tosses it three times, and gets the outcome {Heads, Heads, Heads}. In this problem, you will answer the following question in several parts: What is the probability that the chosen coin was the fair coin
Using conditional probability, it is found that there is a 0.1 = 10% probability that the chosen coin was the fair coin.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Three heads.Event B: Fair coin.The probability associated with 3 heads are:
[tex]0.5^3 = 0.125[/tex] out of 0.5(fair coin).1 out of 0.5(biased).Hence:
[tex]P(A) = 0.125 + 0.5 = 0.625[/tex]
The probability of 3 heads and the fair coin is:
[tex]P(A \cap B) = 0.5(0.125) = 0.0625[/tex]
Then, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0625}{0.625} = 0.1[/tex]
0.1 = 10% probability that the chosen coin was the fair coin.
A similar problem is given at https://brainly.com/question/14398287
find the value of x in the triangle.
[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]
to return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 fewer pages than he should each day, and returns the book 6 days late. In how many days was he supposed to read the book?
Using proportions, it is found that he was supposed to read the book in 10 days.
This question can be solved by proportions, using a inverse rule of three, as when the number of pages read per day increases, the time to finish the book decreases.Reading 40 pages every day, he finishes the book in x days. He read 40 - 15 = 25 pages every day, and finished the book in x + 6 days, hence, the rule of three is:40 pages - x days
25 pages - x + 6 days
Applying line multiplication, as it is an inverse rule of three:
[tex]40x = 25(x + 6)[/tex]
[tex]40x = 25x + 150[/tex]
[tex]15x = 150[/tex]
[tex]x = \frac{150}{15}[/tex]
[tex]x = 10[/tex]
He was supposed to read the book in 10 days.
A similar problem is given at https://brainly.com/question/24372153
7. Find the rate of change from the table.
0
2
4
13
6
-10
20
50
80
Answer:
multiplying 2 then dividing
Step-by-step explanation:
1) For each diagram, decide if y is an increase or a decrease relative to x. Then determine how much it increased or decreased.
Answer:
i dont know
Step-by-step explanation:
The cost of a blue balloon is 4 times the cost of a yellow balloon. Rashmi spent₹ 910 in buying both blue and yellow balloons, find the cost of a blue balloon?
The cost of the blue balloon is ₹728.
let
the price of the yellow balloon = x
cost of the blue balloon = 4x
Total amount spent = ₹ 910
Therefore,
4x + x = 910
5x = 910
divide both sides by 5
5x / 5 = 910 / 5
x = 182
cost of the blue balloon = 4x = 4(182) = ₹728
read more: https://brainly.com/question/23781513?referrer=searchResults
this is homework and can someone do this because I have more homework to do.
Answer:
So the answer is the type of graph this is it is a tsunami graph telling about
Step-by-step explanation:
the percentage of it
There are 35 students in the elementary band. The band is doing a fundraiser, and each student must sell 12 items. How many items will be sold altogether? Use a different multiplication strategies in each of the short answer questions.
Answer:
Altogether, 420 items will be sold.
Step-by-step explanation:
12 · 35 = 420
YES I AM GIVING A BRAINLIST :D
Which of the following systems of equations has exactly one solution?
Answer:
y=10x-2x ................
