Answers
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
_____
Additional comment
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
__
If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
Related Questions
What 2 numbers have a total of 34 and a difference of 8?
Answers
Answer:
21 and 13
Step-by-step explanation:
a brick of himalayan salt measures 20x10x4 and weighs 1 kg and 600 gs what is its density
Answers
Answer:
t and the tree is the relationship of
A brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs. then the density will be; 0.002 kg/cubic unit.
How are density, volume and mass of a substance related?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing. Suppose that a finite amount of substance is there having its properties as:
mass of substance = m kg
density of substance = d kg/m³
volume of that substance = v m³
Then, they are related as:
d = m/v
Given that a brick of himalayan salt measures 20 x 10 x 4 and weighs 1 kg and 600 gs.
Density = Mass / Volume
Density = 1.6 kg / 20 x 10 x 4
= 0.002 kg/cubic unit.
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Multiply. (−6/35)⋅14/27 What is the product? Enter your answer as a fraction, in simplified form, in the box.
Answers
Answer:
-4/45
Step-by-step explanation:
[tex]\dfrac{-6}{35}*\dfrac{14}{27}=\dfrac{-6}{5}*\dfrac{2}{27}[/tex]
14 and 35 are given by 7th table.
[tex]= \dfrac{-2}{5}*\dfrac{2}{9}[/tex]
Now , 6 and 27 are given by 3rd table
[tex]=\dfrac{-4}{45}[/tex]
Answer:
-4/45
Step-by-step explanation:
2.03 Quiz: Multiply Signed Fractions
PLEASE HELP !!
What's the domain and range of the exponential growth function?
Answers
Answer:
you have to multiply the dividend by 2x+9y/22y
Step-by-step explanation:
HELPPP PLEASE!!! I’M BEING TIMED!!!!
Answers
Answer:
y= -7x -27
Step-by-step explanation:
A cookie recipe calls for 2 eggs and makes 3 dozen cookies. How many cookies could you make with a dozen eggs?
Answers
12 = 2x6 this is how many eggs there are in dozen
For every two eggs
There are 3 dozen cookies
So if you multiply 3x6
You would get 18 dozen cookies.
Answer:
18 dozen
Step-by-step explanation:
2/3 = 12/x
(3*12) / 2 = 18
Polynomials
Multiply (x - 5)(3x – 2)
Answers
9514 1404 393
Answer:
3x² -17x +10
Step-by-step explanation:
Use the distributive property and collect terms.
(x -5)(3x -2) = x(3x -2) -5(3x -2)
= (3x² -2x) +(-15x +10)
= 3x² -17x +10
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 point
Answers
(g + 4) – 3g = 1 + g
can someone help me?
G=?
Write an equation in slope-intercept form
of the line that passes through the point
(-12,6) and is perpendicular to the line
X= - 3/4y -5 ( What would be my first step to put that equation into slope intercept form?) 
Answers
Hint :-
The product of slopes of two perpendicular lines is -1 . The slope intercept form of the line is [tex] y = mx + c [/tex] .The point slope form of the line is [tex] m(x-x_1) = (y-y_1) [/tex]Solution :-
The given equation to us is ,
[tex]\implies x = \dfrac{-3}{4}y - 5 [/tex]
Convert it to slope intercept form we have ,
[tex]\implies 4x =-3y -20 \\\\\implies 3y = -4x -20 \\\\\implies y =\dfrac{-4}{3}x -\dfrac{20}{3}[/tex]
On comparing to the slope intercept form of the line we have ,
[tex]m = \dfrac{-4}{3}[/tex]As we know that the product of slopes of two perpendicular lines is-1 , henceforth ,
[tex] m_{perp}= \dfrac{3}{4}[/tex]Now using slope point form rewrite the equation of the perpendicular line ,
[tex]\implies y-y_1 = m(x-x_1) \\\\\implies y -6 = \dfrac{3}{4}(x+12)\\\\\implies 4y -24 = 3x + 36 \\\\\implies 3x -4y +36+24=0\\\\\implies \underline{\boxed{ \gray{3x -4y +60=0}}}[/tex]
Daniel was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company. Answer the questions below regarding the relationship between salary and the number of years working at the company.
Answers
Answer: point o.
Step-by-step explanation:
Unit form of 13/5 divided by 4/5l
Answers
Answer:
663/20
Step-by-step explanation:
if you want simplist form its 33 3/20 or decimal its 33.15
can someone explain how to solve the angle A
Answers
Which expression is equivalent to 1/5(150x-80y+50x-25y+20)
Answers
Answer: 40x-21y+4
Step-by-step explanation:
[tex]\frac{1}{5}(150x-80y+50x-25y+20)\\\\=\frac{1}{5}(200x-105y+20)\\\\ =\boxed{40x-21y+4}[/tex]
A dolphin swims 15 feet below sea level, and then jumps 4 feet above sea level. How far did the dolphin rise?
Answers
Answer:
19 feet
Step-by-step explanation:
The dolphin goes from 15 feet below then he goes above the ocean by 4. So add 15 + 4 to get 19 feet.
(2t)^3 x (3t)^2 is what
Answers
Answer:
(23•32t5x)
Step-by-step explanation:
STEP1:
Equation at the end of step1:
(((2t)3) • x) • 32t2
STEP2:
Equation at the end of step2:
(23t3 • x) • 32t2
STEP3:
Multiplying exponential expressions :
3.1 t3 multiplied by t2 = t(3 + 2) = t5
Final result :
(23•32t5x)
Steven uses a
caliper that has an absolute error of 0.02 millimeters. An object's width is measured
using the caliper, which records a width of 14.5 millimeters. What equation would represent the situation?
A. |x-0.02|=14.5
B. |x-14.5|=0.02
C. |0.02-x|=14.5
D. |14.5-0.02|=x
Answers
The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02
The measurement error = 0.02 millimeters The measured width of caliper = 14.5 millimetersIf the actual width of the caliper is represented as x
The measurement error is an absolute value which can be calculated thus :|Actual value - measured value| = absolute error |x - 14.5| = 0.02Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02
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Alexander has a collection of baseball cards he wants to organize into a book use the table to determine how many pages he will need to 234 cards
Answers
Answer:
what chart??????????????????????????????????????????
Step-by-step explanation:
A line with a slope of 7 passes through the points (7,
–
3) and (8,f). What is the value of f?
Answers
Answer:
f=10
Step-by-step explanation:
The coordinates are (7,3) and (8,10)
What is the product (7 10)*(5 x 108)? Be sure to express your
answer in scientific notation.
?
(7* 10^-5) * (5 x 10^-8) = ? * 10
DONE
Answers
[tex](7 \times 10) \times (5 \times 108) \\ 70 \times 540 \\ = 37800 \: or \: 3.78 \times 10 {}^{4} [/tex]
Solved ✔︎What is 35% of $2,195.73
Answers
Answer:
768.51
Step-by-step explanation:
To find 35% change the percentage to a decimal (.35)
Then multiply the original amount by .35
2195.73 *.35
768.5055
Since this is money, we round to the nearest cent
768.51
Find the value of x ?
Answers
Answer:
x = 232
Step-by-step explanation:
We know the measure of two angles now if you add both of them (90 +38) it will get u to 128now subtract 128 from 360and it will give u 232.HELP ME PLEASE!! NO FAKE ANSWERS PLEASE!! :D ILL GIVE BRAINILEST FOR THE CORRECT ANSWER!!!!
Answers
Answer:
x=20
Step-by-step explanation:
It all equals 360º and there are two of each angle. So, we can add 5x+5x+(3x+20)+(3x+20)=360º. Subtracted 40 and simplify. So 16x=320.So divide by 16 and you get that x=20.
Assume that there are 11 girls and 10 boys in the neighborhood club, and a team of 8 is to be selected.
How many different teams can be selected if each team must contain both boys and girls?
Answers
Answer:2
Step-by-step explanation:
4. As Jody dives below the water, its temperature decreases by 0.3 degrees Fahrenheit per foot that he dives. If
Jody is diving at a rate of 2.5 feet per second and the water at the surface is at a temperature of 68 degrees
Fahrenheit then what is the temperature of the water Jody is in after diving for 20 seconds?
Answers
Using proportions and a linear function, it is found that the temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
Jody is diving at a rate of 2.5 feet per second, thus, after 20 seconds, his depth is of:
[tex]20 \times 2.5 = 50[/tex]
The temperature at the surface is of 68 degrees. For each foot, it decreases by 0.3 degrees. Thus, the function is:
[tex]T(f) = 68 - 0.3f[/tex]
Jody is at a depth of 50 feet, thus the temperature is T(50).
[tex]T(50) = 68 - 0.3(50) = 53[/tex]
The temperature of the water Jody is in after diving for 20 seconds is of 53 degrees Fahrenheit.
A similar problem is given at https://brainly.com/question/24316569
Wich of the following powers is the same as 2^5
Answers
None. There is no solution. None of them are equal. 2 to the fifth power is 32.
Most of them equal to something above 80 or are between 50 and 200.
Write an
equivalent fraction for 2/5 with 45 as the denominator.
Answers
Answer:
18/45
Step-by-step explanation:
First you set 2/5 equal to x/45.
Then you see what number you need to multiply 5 by to get 45
Multiply 2 by the number you got and you get x.
The equivalent fraction for 2/5 with a denominator of 45 is 18/45.
We need to figure out what number we can multiply the numerator and denominator by to get the necessary denominator in order to discover an equivalent fraction for 2/5 with a denominator of 45.
The denominator must be multiplied by 9 in order to be converted from 5 to 45 (45 ÷ 5 = 9). To keep the ratio and get the equal fraction, we will also multiply the numerator by 9.
2/5 x 9/9 = (2 x 9) / (5 x 9) = 18/45
As a result, 18/45 is the corresponding fraction for 2/5 with a denominator of 45.
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Choose the numbers to find the product shown by the model.
-
0.5 x ? = ?
Answers: (this one is for what it was multiplied by)
A) 0.01
B) 0.1
C) 1
D) 10
Answers to the question:
E) 0.005
F) 0.05
G)0.5
H)5
Answers
9514 1404 393
Answer:
B, F
Step-by-step explanation:
10 of the hundredth squares are colored red, so that multiplier is ...
10/100 = 0.10 = 0.1 . . . choice B
__
5 of the hundredth squares are colored both red and green, so that product is ...
5/100 = 0.05 . . . choice F
Factorise x2 (squared) - 6x - 27
What’s the answer?
Answers
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let's factorise :
[tex] {x}^{2} - 6x - 27[/tex][tex]x {}^{2} - 9x + 3x - 27[/tex][tex]x(x - 9) + 3(x - 9)[/tex][tex](x - 9)(x + 3)[/tex]Done !
The water level in a lake was monitored and was noted to have changed −1 1/5 inches in one year. The next year it was noted to have changed −1 3/10 inches.
What was the total change in the water level over the two years?
Enter your answer as a simplified mixed number by filling in the boxes.
$$
in.
Answers
Answer:
-2 1/2
Step-by-step explanation:
what adds up to -38 but multiplies to -168
Answers
Answer:
-42 x 4
Step-by-step explanation:
it multiplies to -168 and adds up to -38
