Let the person's arm length be = x
Condition is : sleeve lengths available from 20 inches to 40 inches and the length of the sleeves should be about 1.2 times a person's arm length.
So, the inequality equation becomes:
[tex]20\leq1.2x\leq40[/tex]
This gives x=[tex]\frac{20}{1.2}=16.66[/tex] or [tex]16\frac{2}{3}[/tex]
or x=[tex]\frac{40}{1.2}[/tex]=33.33 or [tex]33\frac{1}{3}[/tex]
Hence, the shop does not provide tuxedos to people with arm length less than 16.66 inches and greater than 33.33 inches.
Answer:
Step-by-step explanation:
Let the arm length of tuxedo be x which varies from 20 inches to 40 inches.
If length of the sleeves is about 1.2 times a person's arm length.
Then the arm length of a person will be 1.2x.
Inequality for the arm length will be
20 < 1.2x < 40
Now we divide this inequality by 1.2
[tex]\frac{20}{1.2}<x<\frac{40}{1.2}[/tex]
16.67 < x < 33.33
This inequality represents the arm length of people having arm length between 16.67 and 33.33 inches.
tuxedo rental shop does not provide tuxedos to the persons having arm length less than 16.67 and greater than 33.33.
find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)
midpoint = ( [tex]\frac{13}{2}[/tex], - 6 )
using the midpoint formula
midpoint = [ [tex]\frac{1}{2}[/tex](4 + 9), [tex]\frac{1}{2}[/tex](- 10 - 2 )] = ( [tex]\frac{13}{2}[/tex], - 6)
9 (x-y)^2-9 (x+y)(x-y)
This answer is 18y • (y - 1)
ExplanationStep by step solution:
Equation at the end of step 1:
[tex]9 (x - y) ^2 - 9 (x^{2} - y^{2})[/tex]
Equation at the end of step 2:
[tex]9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)[/tex]
Equation at the end of step 3:
[tex]9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2[/tex]
Equation at the end of step 4:
After performing basic +, - operation we get:
[tex]18y^2 - 18xy[/tex]
Answer is: 18y. (y – x)
HELP ME PLEASE having trouble!!!!
the perimeter of a square with sides of length 3x
3 x 4 = 12 because there are 4 sides and the length is 3, you multiply 3 and 4 together.
Answer:
Perimeter of square=12x
Step-by-step explanation:
the perimeter of a square with sides of length 3x
The side length of the square is 3x
To find perimeter we add all the sides. All sides are same in a square.
Perimeter of square= 4(a)
where 'a' is the side length
a= 3x. Substitute 3x for 'a'
Perimeter of square= 4(3x)=12x
The larger of two numbers is seven less than three times the smaller number if the sum of number is 61 find
numbers
Well, there really isn't an equation for this. Just plug in numbers and see if the numbers have to be bigger or smaller than the one you guessed. In this case, after plugging in a couple of numbers, I plugged in 17 for the smaller number. Then to find the bigger number, I multiplied 17 by 3, which is 51, then subtracted 7 from 51, which is 44. Since 44+17=61, the numbers are 44 and 17.
HELP PLEASE I NEED THIS URGENT 10 POINTS AND BRAINLIEST
63 = 7x
Divide both sides by 7
9 = x
or
x = 9
Answer
9
write the equation of the line that is parallel to y=2x+9. and goes through the point (3,1)
First we find the slope of the given line as both the lines are parallel therefore their slopes are equal.
To find slope of given line we compare the equation with point slope form i.e.
[tex]y=mx+c[/tex]
On comparing [tex]y=2x+9[/tex]
We get [tex]m=9=slope [/tex]
As the required line is parallel to given line its slope is equal to given line
[tex]m=9[/tex]
Required line pass through[tex](3,1)[/tex]
Using point slope form
[tex]y-y_1=m(x-x_1)[/tex]
Here [tex]m=9, y_1=1, x_1=3[/tex]
Putting the values and solving
[tex]y-1=9(x-3)[/tex]
[tex]y-1=9x-27[/tex]
[tex]9x-y=26[/tex] is the required equation
Hope this will help
Which expression is equivalent to -40 + (-20) + (-60)?
The answer could be -120 in a simplified form
Answer:
−40+(−20)+(−60) = -40 - 20 - 60= -120
Step-by-step explanation:
Order the following form least to greatest: 0.07, 0.71, 0.007, 0.071?
Hello!) can you help me please?) number 9 please)
Independent variable: The number of houses Harold sells
Dependent Variable: The amount of money Harold earns
Function: f(x)=250,000(x)
x represents how many houses Harold sells, and f represents how much money Harold earns.
Now, let's solve the problem.
f(x)=250,000(9)
f(x)=2,250,000
Harold earns $2,250,000
CDFGJKOP what letter would complet this sequence pattern?
which of the following statements is true?
a. a 30 year fixed mortgage will always result in the lowest payment
b. you must have atleast a 20% down payment to get a competitive interest rate
c. the lower your interest rate is, the lower your monthly payment is
d. the faster you pay off your mortgage, the lower your monthly payments are
c. The lower your interest rate is, the lower your monthly payments are.
on edge 2021 (:
Solve each algebraically
|x|=12
|x|=1/2
|x|-6=4
5+|x|=14
3|x|=24
|x+3|=10
what is 9 to the power of 3
9 * 9 * 9 = 729. This is also an exponent 9^3.
When you determine the powers you need to multiply the number itself how many times the power says to multiply.
9 raised to the power of 3 is equal to 729.
Given that we need to find that what is 9 to the power of 3.
To calculate 9 to the power of 3, we need to multiply 9 by itself three times.
In mathematical notation, it is written as 9³.
First, we start with 9 and multiply it by itself:
9 × 9 = 81
Next, we multiply the result by 9 again:
81 × 9 = 729
In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.
Therefore, 9 raised to the power of 3 is equal to 729.
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what is 0.6 equivalent to
Answer:
3/5 and 60%
Step-by-step explanation:
Why does a balloon naturally form a sphere when it is blown up
because of the shape it is molded as, some balloons are made to be hearts so when they are blown up they are shaped like hearts
Select the statement that correctly describes the expression below
Answer:
B
Step-by-step explanation:
The equation is (2x+5)^2.
It can't be A because 2 is the multiplier for only x.
It can't be C because the square is outside of the equation.
It can't be D because again, the square is outside of the equation.
So the only thing left is B.
Hope this helped!
Look at the figure. What is another way of naming line m?
Another way of naming line m is AB
Last one is the answer
Answer: The fourth option. [tex]AB^{<-->}[/tex]
Step-by-step explanation:
BA stands for the segment between B and A, so this is not the correct option.
B (with a double arrow on top) refers to a line, but with only one point we could draw infinite lines, so this is not the correct option)
mB (with a double arrow on top) does not mean anything.
AB (with a double arrow on top) refers to a line that phases through the points A and B, so this is the other way of naming the line m.
a woman is 6 years older than 3 times her daughters age. their ages total 46. what are their ages?
Final answer:
The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.
Explanation:
To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:
m = 3d + 6
Next, we know that their combined ages total 46. This leads to a second equation:
m + d = 46
We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:
3d + 6 + d = 46
We simplify this to find d:
4d + 6 = 46
4d = 40
d = 10
Now we can use this to find m:
m = 3(10) + 6
m = 30 + 6
m = 36
So the daughter is 10 years old and the mother is 36 years old.
which table represents a proportional relationship between x and y
Remark
They all have (0,0) as a point on the proportional relationship, so the general equation for this is
y = kx
Now all we have to do is find k
Method
If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.
Solution
(1/4) ÷(1/3) Change to a decimal
0.25 ÷ 0.3333333 = 0.75
(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded
A is not the answer
B
1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5
2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same
B is not the answer
C
(2/5) ÷ 3 = 0.4 ÷ 3 = 0.13333333
(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333
Answer C
Comment
The answer is C or y = 0.133333 x
Notice that whenever possible, change these into decimals. Decminals are easier to handle.
Insert the parenthesis to make the equality right:
30-49/42/6*8=184
Answer:
(30-49)/(42/6)6*8=184
Step-by-step explanation:
An auto assembly plant produces 288 cars in 6 days. The constant of proportionality is cars per day.
24?
48?
56?
or 102?
For this case we have the following rule of three:
288 cars -------------------> 6days
x cars -------------------> 1dia
Resolving you have that the value of the variable x is given by:
[tex]x =\frac{(1)(288)}{6}\\\\x = 48\\[/tex]
Thus, the constant of proportion per day is 48 cars.
Answer:
Option B
Angle 1 and 2 form a linear pair. M∠1 is 5x + 6 and m∠2 is 2x-1. Find m∠2.
its 54 bro trust me i know what im doing
What is a slope perpendicular to the line with equation 6x-4y=30. Can u guys show me step by step. (I’m barely learning and I’m confused)
You jog 6 2/3 miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?
Answer:
6 2/3 miles times 4 =
Step-by-step explanation:
Convert the fraction 2/3 to a decimal
2/3 = .67
6.67 miles times 4 = 26.68 miles
or 6x4= 24
2/3+2/3+2/3+2/3 =8/3 or 2 2/3
2 2/3 +24 =26 2/3 miles
Last week I jogged for [tex]26\frac{2}{3}[/tex] miles in 4 times.
What is improper fraction ?An improper fraction is when the value in the numerator is more than the value in the denominator.We can also write improper fraction in the form where we write the whole part and with a proper fraction where numerator is the remainder and denominator remains the same.
According to the given question
I jog [tex]6\frac{2}{3}[/tex] miles around a track last week I jogged 4 times around that track
therefore my total jogging distance will be
= 4([tex]6\frac{2}{3}[/tex]) miles
= 4 × 20/3 miles
= 80/3 miles
= [tex]26\frac{2}{3}[/tex] miles
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these is the smallest integer -5 - 11 15 5
-11 is the smallest integer!
Why? Because it's a negative number. -5 is the closest to being a positive. 15 is the largest integer so the answer is -11
On Monday, it snowed a total of 15 inches. On Tuesday and Wednesday, it snowed and additional 4 1/2 inches and 6 3/4 inches respectively. A weather forecaster says that over the last three days, it snowed over 2 1/2 feet. Is this a valid claim? Justify your answer.
Add them all up:
15 + 4 1/2 + 6 3/4 = 26 1/4 in.
2 ft equals 24 in.
2 1/2 ft = 30 in.
Yes, it is a valid claim.
Answer:
No. This is not a valid claim
Step-by-step explanation:
First we sum up the total snowfall for the 3 days as:
Monday= 15 inches
Tuesday=4.5 inches
Wednesday=6.75 inches
Total= 26.25 inches
As it is understood that there are 12 inches per foot. So we can simply multiply the number of inches it snowed during the last three days by this factor to find out.
26.25 in × 1ft /12in ⇒
i.e. 26.25 x 1ft/12
which is 26.25ft / 12
that concludes 2.1875 ft
so it is not close to the forecaster said over 2 1/2 ft
when simplified completely, the product of a monomial and a monomial is _____ a monomial
-sometimes
-always
-never
im gonna say always a monomial ...
Answer: Always
Step-by-step explanation:
Which of the following best describes the relationship between (x-5) and the polynomial 2x^2-7x-15?
Answer:
Step-by-step explanation:
he or she is correct
If in a class of 40 students,45% are in band, how many students are in band
nis after your done can you mind helping me after.. its ok if not.
Answer:
18
Step-by-step explanation:
Make a proportion 45/100 and x/45 then do cross multiplication then solve