Subtract the two numbers to find the difference:
200-196 =4
Divide the difference by the estimated number:
4/200 = 0.02
Multiply by 100 to change to percent:
0.02 x 100 = 2%
The answer is 2%
Owen earns $27,980 per year in take-home pay. What is the most money a
housing expert would advise him to spend on a monthly mortgage payment?
O A. $2798.00
B. $582.92
C. $279.80
O D. $466.33
Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 0.2 (to 2 decimal places)
Answer:
69.04
Step-by-step explanation:
Given that:
Mean (m) = 69.0
Standard deviation (s) = 2.8
Zscore = 0.2
Find the corresponding height (x) ;
Using the relation :
Zscore = (x - m) / s
0.2 = (x - 69.0) / 0.2
0.04 = x - 69.0
0.04 + 69.0 = x
69.04 = x
Hence, the height of a man with a Zscore of 0.2 is 69.04
En un Gran Premio de Fórmula 1, diez pilotos han obtenido estos tiempos en la clasificación. ¿Cuál es el orden de salida?
Answer:
WHat did he say
Step-by-step explanation:
The drama club is selling short-sleeved shirts for $5 Let x represent the number of short-sleeved shirts
each, and long-sleeved shirts for $10 each. They hope to ordered and let y represent the number of long-sleeve
sell all of the shirts they ordered, to earn a total of
shirts ordered.
$1,750. After the first week of the fundraiser, they sold How many short-sleeved shirts were ordered?
3
of the short-sleeved shirts and 15 of the long-sleeved
How many long-sleeved shirts were ordered?
shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
**+ y = 100
This data is Inaccurate Data
Equations of the system are When The situation is described is modeled by the following system of equations: Step first 5x + 10y = 1,750 Step second x + y = 100Where are
x = number of short-sleeved shirts y = number of long-sleeved shirtsDivide first by 5:
Then third step will be x + 2y = 350Multiplye secondly by -2:
-2x - 2y = -200
Add with the third one -x = 150 x = -150 Then, The value of x should not be negative. also, This happens because the problem is inaccurately stated. Not even selling 100 of the $10 shirts we can get to $1,750. If the total shirts sold was 200, then it secondly x + y = 200 And then x = 50, y=150 was an acceptable solution.Learn more:
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5 The temperature on Janice's birthday is -10.6°C. Which absolute value equation BEST describes how many degrees below 0°C the temperature is on Janice's birthday?
A) l–10.6l = 10
B) l–10.6l = –10.6
C) l–10.6l = –10
D) l-10.6l = 10.6
The table shows the price for different numbers of board games:
Number of Board Games Price (in dollars)
2 7
4 14
5 17.50
9 31.50
Does this table of numbers represent a proportional relationship? (5 points)
a
Yes, because 3.5 times the price is the number of board games
b
Yes, because the price is 3.5 times the number of board games
c
No, because the price of 4 board games should be $9 and not $14
d
No, because the price of 9 board games should be $40.50 and not $31.50
Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
A bag contains red marbles and blue marbles. If two marbles are chosen at random without replacement, the probability that both marbles are red is , and the probability that both marbles are blue is also . How many marbles are in the bag?
Answer:
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
Step-by-step explanation:
In this question probabilities are not given which should be given in order to calculate the number of marbles in the bag.
So, let's assume the probability that both marbles are red = 0.5
And probability that both marbles are blue = 0.5
Total Probability = 1
Furthermore, Let's suppose the bag contains
a number of red marbles and b number of blue marbles.
This problem includes the concepts of combination.
So,
[tex]\frac{_{2} C^{a} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 1
[tex]\frac{_{2} C^{b} }{_{2} C^{a+b} }[/tex] = 0.5 Equation 2
Dividing Equation 1 and equation 2 we will get
[tex]\frac{_{2} C^{a} }{_{2} C^{b} }[/tex] = 1
It means, we can write:
[tex]_{2} C^{a} = _{2}C^{b}[/tex]
Hence, we can conclude that:
a = b
Now, from equation 1, we can write:
[tex]\frac{_{2} C^{a} }{_{2} C^{2a} }[/tex] = 0.5
Breaking down the combinations, we will get:
[tex]\frac{\frac{a!}{2! (a-2)!} }{\frac{2a!}{2! (2a - 2)!} }[/tex] = 0.5
[tex]\frac{a ( a-1)}{2a (2a-1)} = \frac{1}{5}[/tex]
(a-1)5 = 4a - 2
5a - 5 = 4a - 2
5a -4a = 5-2
a = 3
As, we know, a = b
So, a + b = 3 + 3 = 6
Hence,
There will be 6 marbles in the bag, 3 red and 3 blue.
Evaluate ab – 0.5b when a = 1 and b = 5.
Answer:
2.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
ab - 0.5b
a = 1
b = 5
Step 2: Evaluate
Substitute: 1(5) - 0.5(5)Multiply: 5 - 2.5Subtract: 2.5Jin can purchase 10 gallons of biodegradable fuel for $42.99 at the local
gas station. Which of the following deals costs less per gallon? *
O 8 gallons of fuel for $38.50
O 15 gallons of fuel for $60.50
0 20 gallons of fuel for $91.75
30 gallons of fuel for $131.40
Answer:
b 15 gallons of fuel for $60.50
Step-by-step explanation:
because 1 gallon of fuel is for $4.299
and when you multiply 15×4.299 the answer is 64.485 which is greater than the offer you are getting it for.
Given m||n, find the value of x.
+
(8x-4)º
(6x-12)
Answer:
x = 14
Step-by-step explanation:
(6x - 12)° + (8x - 4)° = 180° (Supplementary angles)
6x - 12 + 8x - 4 = 180
Add like terms
14x - 16 = 180
14x = 180 + 16
14x = 196
x = 196/14
x = 14
Please help, and explain step by step, thanks!
Both attachments are part of the same problem
Answer:
Answer: B San Francisco
Step-by-step explanation:
It can be read that Geneva is 12°C colder than Nikki's hometown. It can be seen in the table that Geneva is at -3°C.
This means that Nikki's hometown is 12°C hotter than Geneva, thus:
Temperature of Nikki's hometown = -3°C + 12°C = 9°C.
The only city with a temperature of 9°C is San Francisco.
Answer: B San Francisco
Two lemon creams plus four fudge cookies have 450 calories. Four lemon creams plus two fudge cookies have 420 calories. How many calories are in each cookie?
Answer:
Each fudge cookie has 80 calories.
Each lemon cream has 65 calories.
Step-by-step explanation:
We will let [tex]\ell[/tex] represent the calories in lemon creams and [tex]f[/tex] represent the calories in fudge cookies.
Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:
[tex]2\ell+4f=450[/tex]
And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:
[tex]4\ell+2f=420[/tex]
We now have a system of equations. We can solve this by elimination.
For the first equation, we can multiply both sides by -2. This way, the [tex]\ell[/tex] will cancel when we add the two equations together.
So, the first equation becomes:
[tex]-4\ell-8f=-900[/tex]
Add this to the second equation. Hence:
[tex](-4\ell+4\ell)+(-8f+2f)=(-900+420)[/tex]
Simplify:
[tex]-6f=-480[/tex]
Divide both sides by -6. Hence:
[tex]f=80[/tex]
So, there are 80 calories in one cookie.
We can use the first equation again to find the amount of calories in one cream. We have:
[tex]2\ell+4f=450[/tex]
Substituting 80 for [tex]f[/tex] yields:
[tex]2\ell+320=450[/tex]
Then it follows that:
[tex]\ell=65[/tex]
So, there are 65 calories in each lemon cream.
Answer:
567
Step-by-step explanation:
The coordinate grid below shows the graph of supply and
demand functions for the sales of wooden chairs. For the
functions, x represents the number of chairs, in hundreds,
and y represents the price of each chair, in dollars.
The equilibrium point for the functions can be found by
locating the point where the two functions are equal. Which
of these appears to be the number of chairs, in hundreds,
that must be sold to achieve equilibrium?
20
35
40
90
Answer:
A. 20
Step-by-step explanation:
The two functions are equal at the point where the line of both function intercept. At this point, equilibrium is achieved.
The number chairs demanded and the number of chairs supplied are equal at this point.
Both lines intersect at x = 20. This means 20 (in hundreds) chairs must be sold for equilibrium to be achieved.
Please help I will give brainliest only to those who answer respectfully and the best answer
I need a topic on standard deviation, I'm supposed to be teaching first graders how to do standard deviation I just dont have a topic that would relate to them, could you please give me one?
Answer:
possibly you could use kid per candy, number of trickery treaters or something
you could explain lets say over the holidays Miss. So and So's class's kids got an average of around 4-6 Christmas presents while Miss. Mary Sue's class had kids with 2 presents and kids with 12, since the range between 2-12 is bigger it had a greater standard of deviation
(hopefully this helps and I am not overcomplicating or incorrecting the standard of deviation, good luck)
Describe another pattern you see in this set of numbers 20,24,28,32, and 36
Imani is training for a half marathon. The graph shows her distance during a 60-minute practice run.
Multiply. Write your answer as a fraction in simplest form.
Answer: 9/11
Step-by-step explanation:
Answer:
9/11
Step-by-step explanation:
3/22 * 6/1= 18/22
18/22 divided by 2 = 9/11
I need help finding the m
You are on vacation and want to buy a pair of sunglasses for $10 or less. You find a pair with a price tag
of $10. The cashier says the total cost will be $10.45.
$10.45
$10.00
What do you notice?
What do you wonder?
The price of sunglasses is greater original price and 0.45 is tax amount.
What is Tax?A tax is a mandatory fee or financial charge that a government imposes on a person or a business in order to raise money for public projects like building the greatest infrastructure and services.
Taxes are required financial contributions imposed by a government body, whether local, regional, or federal, on people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.
Given:
Original price of sunglasses = $10.
Price according to cashier= $10.45
So, the price of sunglasses is greater original price.
and, the difference both price
= 10.45 - 10
= 0.45 is tax amount.
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A right triangle has a base equal to 13 inches and a height equal to 18 inches. Find the area of the trlangle.
Answer:
117
Step-by-step explanation:
The formula for a triangle is base times hight divided by two. So, 13 x 18 = 234, and 234/2 = 117
Riley wants to make 100 ml of 25% saline solution but only has access to 12% and 38% saline mixtures.
To make 100 ml of 25% saline solution, Riley will need 50 ml = 12% saline mixture and 50 ml= 38% saline mixture.
Given,
We have 12% and 38% of saline mixtures.
We need to find the amount in ml from each saline mixture which would give us 100 ml of 25%.
What are the methods to solve a system of linear equations?
There are a number of methods but the most and easiest used method is the substitution method and the elimination method.
We can make two linear equations from the given statements.
Let x = amount from 12% saline mixture and y = amount from 38% saline mixture.
Now we need to make 100 ml of 25% saline.
so,
x + y = 100.
So we have two equations.
x + y = 100..............(1)
12% of x + 38% of y = 100 x 25%
0.12x + 0.38 = 25 ...............(2)
Using the substitution method we have,
x = 100 - y
Putting x = 100 - y in {2}
0.12 ( 100 - y ) + 0.38y
= 2512 - 0.12y + 0.38y
= 250.38y - 0.12y
= 25 - 120.26y = 13y
= 13 / 0.26y = 50.
Putting y = 50 in (1)
x + y = 100x
100 -50x = 50.
So Riley will need 50 ml = 12% saline mixture and 50ml = 38% saline mixture to make 100 ml of 25% saline solution.
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1. Jessica starts at an elevation of 40 feet and descends 60 feet. Use the
number line to find Jessica's current elevation. Then complete the equation.
-80-70-60-50-40-30-20-10 0 10 20 30 40 50 60 70 80 90 100 110 120
---
40 + (-60) =
Answer:
Jessicas current elevation is -20 feet.
Step-by-step explanation:
Start and 40 on the number line and make a straight line to -20 on the number line with dots at 40 and -20 on the number line
If f(x) = 2/3x - 6, find f^-1. Justify your answer using the composition of functions f(f^-1(x))=f^-1(f(x))
Answer:
[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]
[tex]f(f^{-1}(x)) = f^{-1}(f(x))= x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2}{3}x - 6[/tex]
Required
Determine [tex]f^{-1}(x)[/tex]
[tex]f(x) = \frac{2}{3}x - 6[/tex]
Represent f(x) as y
[tex]y=\frac{2}{3}x - 6[/tex]
Swap the positions of x and y
[tex]x=\frac{2}{3}y - 6[/tex]
Add 6 to both sides
[tex]x+6=\frac{2}{3}y - 6+6[/tex]
[tex]x+6=\frac{2}{3}y[/tex]
Multiply both sides by 3
[tex]3(x+6)=\frac{2}{3}y * 3[/tex]
[tex]3(x+6)=2y[/tex]
Divide both sides by 2
[tex]\frac{3}{2}(x+6)=\frac{2y}{2}[/tex]
[tex]\frac{3}{2}(x+6)=y[/tex]
[tex]y= \frac{3}{2}(x+6)[/tex]
Replace y with [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]
Justify the result:
First, we solve for [tex]f(f^{-1}(x))[/tex]
[tex]f(x) = \frac{2}{3}x - 6[/tex]
[tex]f(x) = \frac{2}{3}x - 6[/tex] becomes
[tex]f(f^{-1}(x)) = \frac{2}{3}x - 6[/tex]
Substitute [tex]\frac{3}{2}(x + 6)[/tex] for x
[tex]f(f^{-1}(x)) = \frac{2}{3}(\frac{3}{2}(x + 6)) - 6[/tex]
[tex]f(f^{-1}(x)) = \frac{2*3}{3*2}(x + 6)- 6[/tex]
[tex]f(f^{-1}(x)) = \frac{6}{6}(x + 6)- 6[/tex]
[tex]f(f^{-1}(x)) = 1*(x + 6)- 6[/tex]
[tex]f(f^{-1}(x)) = x + 6- 6[/tex]
[tex]f(f^{-1}(x)) = x[/tex]
Next, we solve [tex]f^{-1}(f(x))[/tex]
[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex]
[tex]f^{-1}(x)= \frac{3}{2}(x+6)[/tex] becomes
[tex]f^{-1}(f(x))= \frac{3}{2}(x+6)[/tex]
Substitute [tex]\frac{2}{3}x - 6[/tex] for x
[tex]f^{-1}(f(x))= \frac{3}{2}(\frac{2}{3}x) - 6+6[/tex]
[tex]f^{-1}(f(x))= \frac{3}{2}(\frac{2}{3}x)[/tex]
[tex]f^{-1}(f(x))= \frac{2*3}{3*2}x[/tex]
[tex]f^{-1}(f(x))= \frac{6}{6}x[/tex]
[tex]f^{-1}(f(x))= 1*x[/tex]
[tex]f^{-1}(f(x))= x[/tex]
Hence:
[tex]f(f^{-1}(x)) = f^{-1}(f(x))= x[/tex]
What is the outlier in this data set 23,31,28,73,19
PLEASE ANSWER THIS QUESTION RIGHT THE QUESTION IS ABOVE THE PICTURE
Answer: its C
Step-by-step explanation: Ive taken this question dont know how but its C.
What is m<9?
Your response should be at least 3 complete sentences. Be sure to include any relevant measurements and calculations. FAILURE TO SHOW WORK WILL RESULT IN A LOSS OF POINTS. no plagiarism!!
9514 1404 393
Answer:
70°
Step-by-step explanation:
Angles 2 and 13 are alternate exterior angles, so are congruent. The value of x can be found by solving the equation that equates the expressions for the measures of these angles. Once x is found, the measure of angle 13 can be determined. The measure of angle 9 is the supplement of angle 13.
So, ...
m∠2 = m∠13
8x +14 = 10x -10
24 = 2x . . . . . . . . add 10-2x
12 = x
m∠13 = 10x -10 = 10·12 -10 = 110
m∠9 = 180° -110°
m∠9 = 70°
if you roll a standard 6 sided die, whats the probability that you get a 1,2,3,5, or 6?
Answer:
5/6
Step-by-step explanation:
1 has a 1/6 chance2 has a 1/6 chance3 has a 1/6 chance5 has a 1/6 chance6 has a 1/6 chance1, 2, 3, 5, or 6 has a 1/6+1/6+1/6+1/6+1/6=5/6 chanceAnswer:
18.3% chance it will land on that particular side
how do you find the area of this problem
Answer: 240
Step-by-step explanation:
You would multiply each of the sides to get the final answer of 240 (:
please help!!!! find x and y
9514 1404 393
Answer:
(x, y) = (10, 2)
Step-by-step explanation:
The upper angle marked with an expression in x and y is supplementary to the angle marked 70°. The lower angle marked with an expression in x and y is an alternate interior angle with respect to the one marked 70°, is equal to that. This gives the two equations in x and y:
6x +10y +30 = 110
4x +10y +10 = 70
Subtracting the second equation from the first gives ...
2x +20 = 40
x +10 = 20 . . . . . divide by 2
x = 10 . . . . . . . . . subtract 10
Substituting into the second equation gives ...
4(10) +10y +10 = 70
4 + y + 1 = 7 . . . . . . . . divide by 10
y = 2 . . . . . . . . . . . . . . subtract 5
The values of x and y are 10 and 2, respectively.
Answer:
9514 1404 393
Step-by-step explanation:
DUE AT 11:59 PLEASE ANSWER NOW
Answer:
g = 6
Step-by-step explanation:
5.2g + 10 = 2.2g + 28 (Given)
3g + 10 = 28 (Subtracted 2.2g on both sides)
3g = 18 (Subtracted 10 on both sides)
g = 6 (Divided 3 on both sides)
To check to make sure you are correct, simply substitute your answer for g:
5.2(6) + 10 = 2.2(6) + 28
31.2 + 10 = 13.2 + 28
41.2 = 41.2
You'll know you're correct if they both equal the same. In this case, the solution works.