Answers
I=100+12J+5T+7S+5H-8M
The given information is that I=197, J=5, T=5, H=3, and M=3, and we’re trying to solve for the amount of shorts (S) he sold.
We can plug in the variables into the equation:
(197)=100+12(5)+5(5)+7S+5(3)-8(3)
After simplification:
197=100+60+25+7S+15-24
We can add/subtract the constants:
197=100+60+25+7S+15-24
We will add/subtract the constants:
197=176+7S
We will subtract 176 from both sides of the equation to cancel it out and isolate 7S:
197-176=176-176+7S
21=7S
We will divide 7 from both sides of the equation to cancel it out and isolate S:
21/7=7S/7
3=S or S=3 with the symmetric property of Equality applied.
Therefore, he sold 3 pairs of shorts
Related Questions
Find the perimeter. Simplify the answer.
Answers
Answer:
4u
Step-by-step explanation:
Perimeter of square = u+u+u+u
= 4u
the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answers
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
Learn more about the exponential function here:
brainly.com/question/11487261.
#SPJ7
find an equation of the line that passes through the points (-3,10) and (2,-5)
Answers
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
for the slope a :
x changes by +5 (from -3 to 2)
y changes by -15 (from 10 to -5)
so, the slope is -15/+5 = -3
the equation looks now like
y = -3x + b
let's use the first point
10 = -3×-3 + b = 9 + b
1 = b
so, the equation is
y = -3x + 1
The Intelligence Test Scale in a school is composed of a number of subtests. On one subtest, the raw scores have a mean of 35 and a standard deviation of 6. Assuming these raw scores form a normal distribution: a) What number represents the 65th percentile (what number separates the lower 65% of the distribution)? b) What number represents the 90th percentile? c) What is the probability of getting a raw score between 28 and 38? d) What is the probability of getting a raw score between 41 and 44?.
Answers
Using the normal distribution, it is found that:
a) The 65th percentile is of 37.31.
b) The 90th percentile is of 42.68.
c) There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
d) There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 35, hence [tex]\mu = 35[/tex]The standard deviation is of 6, hence [tex]\sigma = 6[/tex]Question a:
The 65th percentile is X when Z has a p-value of 0.65, so X when Z = 0.385.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.385 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 0.385(6)[/tex]
[tex]X = 37.31[/tex]
The 65th percentile is of 37.31.
Question b:
The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 35}{6}[/tex]
[tex]X - 35 = 1.28(6)[/tex]
[tex]X = 42.68[/tex]
The 90th percentile is of 42.68.
Question c:
The probability is the p-value of Z when X = 38 subtracted by the p-value of Z when X = 28, hence:
X = 38:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{38 - 35}{6}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
X = 28:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{28 - 35}{6}[/tex]
[tex]Z = -1.17[/tex]
[tex]Z = -1.17[/tex] has a p-value of 0.121.
0.6915 - 0.121 = 0.5705.
There is a 0.5705 = 57.05% probability of getting a raw score between 28 and 38.
Question d:
The probability is the p-value of Z when X = 44 subtracted by the p-value of Z when X = 41, hence:
X = 44:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{44 - 35}{6}[/tex]
[tex]Z = 1.5[/tex]
[tex]Z = 1.5[/tex] has a p-value of 0.9332.
X = 41:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{41 - 35}{6}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a p-value of 0.8413.
0.9332 - 0.8413 = 0.0919
There is a 0.0919 = 9.19% probability of getting a raw score between 41 and 44.
A similar problem is given at https://brainly.com/question/24663213
a boy is y years old now .how old was he 10 years ago
Answers
Answer:
Hi there the answer is y-10
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answers
Answer:
Step-by-step explanation:
Evaluate (25/36)^1/2
A 25/6
B 5/6
C 5/36
D 25/36
Answers
5/6 its doneeeeeeèeeeeee
Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.
Answers
Engineering
In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etcHow do you write the nth term rule for the sequence
1
,
3
,
5
,
7
Answers
basically the answer is 2n-1 2n comes from the difference to get from 1 to three and the -1 from 2n to get to 1 you need to minus 1 so you get -1
Write the equation of the line in fully simplified slope-intercept form.
Answers
It is 5 down and 1 right so it’s -5 and -8 is from the y- intercept where it crosses
PARALLEL PERPENDICULAR OR NEITHER
Answers
Answer: maybe: perpendicular
Step-by-step explanation:
the Arizona Cardinals won 10 games out of 16 games during the 2009 regular season. At this rate, how many games do they need to play to win 50 games?
Answers
For every 10 games they won they lost 6:
50 wins/ 10 wins = 5
5 x 6 loses = 30 loses
50 wins + 30 loses = 80 total games
Answer: 80
1.) solve for x: 4x+9=25
2.) solve for x: 5x+12=62
Answers
2: 5x+12=62 Answer: x=10
Answer:
1. x=4
2. x=10
Step-by-step explanation:
4x+9=25
Subtract 9 from both sides.
4x+9-9=25-9
>>4x=16
Then, divide 16 by 4.
x=16/4
>>x=4.
5x+12=62
Subtract 12 from both sides.
5x+12-12=62-12
>>5x=50
Divide 50 by 5.
x=50/5
x=10.
Hope this helps! Have a great day!
-4/7÷8/9 help me with it please
Answers
Answer:
-36/56
Step-by-step explanation:
Find the equation of the line that passes through (1,2) and is perpendicular to y = 2 x + 3
Answers
Answer:
See belowStep-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)y - 2 = - 1/2(x - 1)or
y = -1/2x + 2 1/2or
y = -0.5x + 2.5Answer:
See below
Step-by-step explanation:
The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.
Use point-slope form to find its equation:
y - y₁ = m(x - x₁)
y - 2 = - 1/2(x - 1)
or
y = -1/2x + 2 1/2
or
y = -0.5x + 2.5
give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v
bc is soooo coool the other one lol
add the following rational number =
3/11 and -5/12
Answers
Answer:
-19/132
Step-by-step explanation:
To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]
Tres profesores compraron libros: uno de ellos pago $845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial. Otro pago $580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial. El último de ellos pago $605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial. ¿Cuál es el costo de cada libro según su tema?
Answers
Usando un sistema de ecuaciones, se encuentra que
$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.Para el sistema, hay que:
x es el costo de un libro de Algebra.y es el costo de un libro de Geometría Analítica.z es el costo de un libro de Calculo Diferencial.$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:
[tex]3x + 5y + 3z = 845[/tex]
$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:
[tex]4x + 2y + z = 580[/tex]
$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:
[tex]x + 3y + 3z = 605[/tex]
Reemplazando la segunda equación en las otras duas:
[tex]z = 580 - 4x - 2y[/tex]
[tex]3x + 5y + 3z = 845[/tex]
[tex]3x + 5y + 3(580 - 4x - 2y) = 845[/tex]
[tex]-9x - y = -895[/tex]
[tex]9x + y = 895[/tex]
[tex]y = 895 - 9x[/tex]
[tex]x + 3y + 3z = 605[/tex]
[tex]x + 3y + 3(580 - 4x - 2y) = 605[/tex]
[tex]-11x - 3y = -1135[/tex]
[tex]11x + 3y = 1135[/tex]
[tex]y = 895 - 9x[/tex], por eso:
[tex]11x + 3(895 - 9x) = 1135[/tex]
[tex]-16x = -1550[/tex]
[tex]x = \frac{1150}{16}[/tex]
[tex]x = 96.875[/tex]
[tex]y = 895 - 9x = 895 - 9(96.875) = 23.125[/tex]
[tex]z = 580 - 4(96.875) - 2(23.125) = 146.25[/tex]
$96.875 es el costo de un libro de Algebra.$23.125 es el costo de un libro de Geometría Analítica.$146.25 es el costo de un libro de Calculo Diferencial.Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137
Please Help Me Solve This! I Need Help Now!
Correct Answer = Brainliest
Answers
Answer:
Switzerland tickets: $13.53
Japan tickets: $ 17.36
Step-by-step explanation:
Japan tickets- $17.36
What number president was john quincy adams.
Answers
Answer:
6
Step-by-step explanation:
john quincy adams was the 6th president
solve for q
q/-2+17=13
q=
Answers
Answer:
q = 8
Step-by-step explanation:
-q/2 + 17 = 13
subtract 17 from each side to get:
-q/2 = -4
to isolate the 'q', multiply each side by -2 to get:
q = 8
Any math teacher here
Answers
Answer:
what's the question?
Step-by-step explanation:
A backyard swimming pool has two fill pipes and a drain pipe. The pool fills in 9 hours with the first fill pipe. Draining the pool with the drain pipe takes 1 hour longer than filling the pool with the second fill pipe. If all three pipes are open at once, the pool can be filled in 8 hours. How many hours would draining the pool take with the two fill pipes closed?
Answers
Gabby's Christmas budget is $1800. She gives
16
1
6
of her budget to charity. Of her remaining budget she spends
15
1
5
on decorations. How much money does she have left in her budget for Christmas presents?
Answers
Answer: 1756
Step-by-step explanation:
16+1+6=23
15+5+1=21
1800-23=1777
1777-21=1756
what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.
Answers
Answer:
7.44
Explanation:
MAD = 1/n sigma | xi - x of line |
PLS WHAT IS THE REAL ANSWWR ASAP
Answers
the answer is t<-48
i hope this helped you if you need the explanation lmk
Can you give 50 cent in 8 dollars to 17 people
Answers
Please help will give brainlest
Question 67x3-34+49x2
Answers
Answer:
265
Step-by-step explanation: Used a Calculator
Answer:
[tex]67x^{3} + 49x^{2} -34[/tex]
hopes this helps
Х
у
10
-4
2
1
6
-5 help pls
Answers
Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.
Which of the playground’s features are more than 25 feet away from the swings? Choose the THREE correct answers.
Answers
The playground’s features are more than 25 feet away from the swings are;
Sandbox, Water fountain, Jungle gym
Looking at the given graph, the distances of the other features from the swing are;
For sandbox; 8 units
For restroom; 4 units
For water fountain; 9 units
For Jungle gym; 7 units
Bench; 5 units
Now we are told that each units on the graph represents 5 ft.
Thus, the respective distances from the swing are;
Sandbox to swing = 8 × 5 = 40 ft
Restroom to swing = 4 × 5 = 20 ft
Water fountain to swing = 9 × 5 = 45 ft
Jungle gym to swing = 7 × 5 = 35 ft
Bench to swing = 5 × 5 = 25 ft
Thus, the playground’s features are more than 25 feet away from the swings are;
Sandbox, Water fountain, Jungle gym
Read more about interpretation of graphs at; https://brainly.com/question/1638242
PLEASE HELP (TEST) The graphs below show measurements from cubes with
different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
O side length and perimeter of 1 face
20
O perimeter of 1 face and area of 1 face
O surface area and volume
Perimeter of 1 Face
A.
U area of 1 face and surface area
O side length and volume
4
2.
1
3
4
5
6
X
Side Length
40
AB
36
32
Answers
Answer:
do you still need the answer?
Step-by-step explanation: