Solution :
Let, income and saving of Adam is 9x and 3y.
Similarly income and saving of Rosy is 7x and y.
We know,
Income = Saving + Expense
Now, it is given that their expense is same and it is ₹12000 per month.
For Adam, 9x = 3y + 12000 ...1)
3x = y + 4000
For Rosy, 7x = y + 12000
21x = 3y + 36000 ...2)
Subtracting 1) from equation 2), we get :
12x = 24000
x = ₹2000
Therefore, monthly incomes of Adam and Rosy is ₹18000 and ₹14000 respectively.
how do i find this out?
Answer:
8
Explanation:
A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8
I hope that makes sense :)
How many inches below average was the precipitation for both March and April?
Answer:
4 and 3/4 inches less for April
and 1 and 1/2 inches less for March
Step-by-step explanation:
Which of these statements is true for f(x) = 4 • 2x?
Answer:
y intercept is (0,4)
Step-by-step explanation:
A teacher wants to find out the average number of weekly reading hours of her students. She noted the number of reading hours of 5 of her students, as shown below:
8, 6, 5, 7, 4
Which measure of central tendency is most appropriate for this situation and what is its value?
Only the median; 6
Only the mean; 5
Either the mean or median; both are 6
Either the mean or median; both are 5
Answer:
The answer is C both the mean and median are 6
Step-by-step explanation:
about 240,000 people live in a 3-mile radius of a citys town hall. find trhe population density in people per square mile
Answer:
80000
Step-by-step explanation:
help please ASAPPPPP
Answer:
the height is 11 units the base is 12 units and the area is (i think) 84
Solve 10^(x + 2) = 34
Answer:
-.4685
Step-by-step explanation:
[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]
Need some assistance yall look at picture :) Algebra 2 type vibe
Answer:
It is C.
III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.
f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2
f(g(x)) = 3[(x-2)/3]+2
f(g(x)) = x-2 + 2
f(g(x)) = x
Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.
fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).
The numbers 1 through 14 (inclusive) are written on the chalkboard. Ms. Q. took the product of 13 of the 14 numbers. How many different products could she get?
Answer:
7
Step-by-step explanation:
answer is 7
Please help
Answer is 15 but I don’t know how to show my working
Answer: 15
Step-by-step explanation:
Factors:
75: 1, 3, 5, 15, 25,
15: 1, 3, 5, 15
Write out all the factors of each number and circle the highest factor that both numbers have
(5X-4)(-4X-3).
How to do it in box method and simplify
Answer:
-19x + 12
Step-by-step explanation:
5x - 4
-4x -20x 16x
-3 -15x 12
_____________
-20x + 16x + (-15x) + 12
= -19x + 12
list the planets in order from least to greatest
Only give me an answer if you know the answer please
Answer:
Uranus, Neptune, Saturn, Jupiter
Step-by-step explanation:
l
Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats,
but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs.
Her budget is $3250. How much can Susan spend on dog food per dog? Show your setup equations.
Answer:
MOBiLe LeGenD BaNG bAnG
Step-by-step explanation:
1s
2s
3s
4s
5s
mobile legend bang bang
Susan can maximum spend $30.95 on dog food and the inequality to manage her bill is 150C + 30D ≤ 3250.
What is inequality?The idea of inequality, which is the state of not being equal, especially with regard to status, rights, and opportunities, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are shared.
Given, Susan is required to buy pet food for her local pet shelter. She buys food for both dogs and cats, but the dog food costs twice what the cat food costs. She needs to feed 150 cats and 30 dogs. Her budget is $3250
Let the price of cat food be C and the price of dog food be D.
Since the price of both cants is exceed 3250. Thus,
inequality shows their relationship is
150C + 30D ≤ 3250
Also given, the price of dog food is twice the price of cat food
C = D/2
150D/2 + 30D ≤ 3250
105D ≤ 3250
D ≤ 3250/105
D ≤ 30.95
Therefore, The most Susan can spend on dog food is $30.95, and the inequality to handle her bill is 150C + 30D ≤ 3250.
Learn more about inequalities here:
https://brainly.com/question/29166625
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-2(4w-11)+6(5-2w)
Find the value of the expression if w = -3
help please, thank you. explaining how you got the answer will give you brainliest.
Page 132 #4
x = ___ units
Round your answer to the nearest tenth.
Answer:
18.0
Step-by-step explanation:
[tex] In\: \odot P, [/tex] TS is tangent to the circle at point S and PS is radius.
[tex] \therefore PS \perp TS[/tex]
(tangent radius theorem)
[tex] \therefore m\angle PST = 90\degree [/tex]
Since, side opposite to 90° angle is called hypotenuse.
So, x represents the length of hypotenuse of [tex] \triangle WYZ[/tex]
Thus, by Pythagoras Theorem
[tex]x = \sqrt{ {15}^{2} + {10}^{2} } \\ \\ = \sqrt{225 + 100} \\ \\ = \sqrt{325} \\ \\ = 18.0277564\\\\ = 18.0[/tex]
A grocery chain runs a prize game by giving each customer a ticket that may win a prize when the box is scratched off. Printed on the ticket is a dollar value ($500, $100, $25) or the statement "This ticket is not a winner." Monetary prizes can be redeemed for groceries at the store. Below is the probability distribution of the amount won on a randomly selected ticket. Which of the following are the mean and standard deviation, respectively, of the winnings? * 2 points Captionless Image $156.25 $53.85 $15.00, $2900.00 $15.00, $26.93 $15.00, $53.85 $156.25, $26.93
Answer:
[tex]Mean = \$15[/tex]
[tex]Standard\ Deviation = \$53.85[/tex]
Step-by-step explanation:
Given
See attachment for probability distribution
Required
Determine the mean and the standard deviation
The mean of the distribution is:
[tex]Mean = E(x)[/tex]
and
[tex]E(x) = \sum x * P(x)[/tex]
So, we have:
[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]
[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]
[tex]Mean = \$15[/tex]
So:
[tex]E(x) = 15.00[/tex]
The standard deviation of the distribution is:
[tex]S = \sqrt{Var(x)}[/tex]
Where:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
[tex]E(x^2) = \sum x^2 * P(x)[/tex]
So, we have:
[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]
[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]
[tex]E(x^2) = 3125[/tex]
So:
[tex]Var(x) = E(x^2) - (E(x))^2[/tex]
Where
[tex]E(x^2) = 3125[/tex]
[tex]E(x) = 15.00[/tex]
[tex]Var(x) = 3125 - 15^2[/tex]
[tex]Var(x) = 3125 - 225[/tex]
[tex]Var(x) = 2900[/tex]
Recall that:
[tex]S =\sqrt{Var(x)[/tex]
[tex]S =\sqrt{2900[/tex]
[tex]S =53.85[/tex]
this is the last two lol help??
Answer:
1) 706.5
2) 1133.5
Step-by-step explanation:
is it area?
if so here is the formula.
p times r times r =
pi x 225
706.5
I hope this helped.
A triangle has three angles of 36°, 34°, and 110°.
A. equilateral B. obtuse C. acute D. right
Answer:
Obtuse Triangle.
Step-by-step explanation:
An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.
Hence, this is an obtuse triangle
The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.
What is an obtuse angle triangle?An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.
Given that, a triangle has three angles of 36°, 34°, and 110°.
Here, one of the angle measure more than 90°, that is 110°.
Sum of remaining two angles is 36°+34°
= 70°
Therefore, option B is the correct answer.
Learn more about the obtuse angle triangle here:
https://brainly.com/question/1581660.
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WHICH OPTION SHOWS THE VOLUME
WILL MARK BRAINLIST GOD BLESS U
Answer:
128
Step-by-step explanation:
In math, volume can be defined as the 3-dimensional space enclosed by a boundary or occupied by an object.
Answer:
256π cm³
Step-by-step explanation:
πr²·h=Volume
π·(4)²·16=π·16·16=256π cm³
In a certain triangle, one angle has a measure of 55° and another angle has a measure of 70°. If the triangle is
isosceles, then which of the following could be the measure of the third angle?
A. 60
B. 55
C. 63
Answer:
B) 55°
Step-by-step explanation:
55+70=125
180-125=55
or
Isosceles means 2 angles are the same, so it's 55°.
Answer:
B) 55°
Step-by-step explanation:
if it's an isosceles triangle then the third angle must be either 55° or 70°
and it cannot be 70 because 70+70+55 = 195° and a triangle only has 180°
A rectangular prism has a length of 12 feet, a width of 4 feet, and a height of 8 feet. What is the volume of the prism?
Answer:
Hello! answer: 384
Finding volume for rectangular prisms is very simple! You just do length × width × height.
So our length is 12 our height is 8 and width is 4 so 12 × 4 × 8 = 384 So 384 is the volume hope that helps!!
whst is the correlation coefficient for the data shown in the table
Answer:
where is it at
Step-by-step explanation:
Find the sum of integers satisfying 3x - 11 > 8
B) -3
A) 4
C) 4
D)8
E) infinity
HELP!!!! I WILL MARK BRAINLEST
Answer:
i believe its 3
Step-by-step explanation:
sorry if im wrong
Use the function v = 18p to find the value of v when p
8.
V =
Answer:
144
Step-by-step explanation:
Given function ,
→ v = 18p
For finding its value at p = 8 ,→ v = 18 *8
→ v = 144
• Hence the required answer is 144.-2+4x > -10 Which of these COULD be the answer? *
-3
-2
-4
0
Which equation does NOT graph a line?
A)
y = 5
B)
y=-3x3
yox
IN
D)
y=-8x
The Answer is B.
Its a Cubic function and this does not graph a line.
The first option
y=5 (A straight line)
for Y=-8x
Using Y=Mx + c
M is the slope
So it has a slope of -8.
A cab company charges a fixed amount, plus a fee based on the distance traveled. The rate chart for the company is shown:
Rate Chart
Distance traveled
(miles) (x) | Cost (dollars) (y)
0 | 7
1 | 13
2 | 19
What is the fixed amount charged?
$3
$5
$6
$7
Answer:
I'm pretty sure the answer is 6!
Step-by-step explanation:
it takes 6 to get to 13 from 7
and it takes 6 to get to 19 from 13
320 divided by 60=
Will give brainliest
Answer:
5.33333 (repeating)
Step-by-step explanation:
Answer:
5.333333 and the 3 is infinite.
Step-by-step explanation:
Can someone please help me solve for x for me?????It’s for my test and please show the work so that way I know how to do it now:( I need some serious help here!!!!
Answer:
x = 6°
Step-by-step explanation:
∠7 and ∠5 are equal because the two intersecting lines are parallel.
The equation is:
78° = 12x + 6°
Subtract 6 from both sides
72° = 12x
Divide by 12 on both sides
6° = x
x = 6°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K