Given:
Length of the rectangle = [tex]x+4[/tex]
Width of the rectangle = [tex]x[/tex]
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
[tex]l=x+4[/tex]
[tex]w=x[/tex]
We know that, the perimeter of a rectangle is
[tex]P=2(l+w)[/tex]
[tex]P=2(x+4+x)[/tex]
[tex]P=2(2x+4)[/tex]
[tex]P=4x+8[/tex]
It is given that the perimeter of the rectangle is less than 140.
[tex]P<140[/tex]
[tex]4x+8<140[/tex]
[tex]4x<140-8[/tex]
[tex]4x<132[/tex]
Divide both sides by 4.
[tex]x<\dfrac{132}{4}[/tex]
[tex]x<33[/tex]
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is [tex]x<33[/tex].
If I have a meal that cost 6.14 and I have $8 how much change do I get
Answer:
8-6.14= 1.86
That's what you get
Answer:
you would get $1.86 back
-1/3+1/2 simplified??
Answer:
1/6
Step-by-step explanation:
Select all values that would make the following inequality true: x ≥ -10
-10
-14
-2
0
Answer: -10; -2; 0
Step-by-step explanation:
≥ means greater or equal than.
-10 is equal -10, true.
-14 is less than -10, so false.
-2 is greater than -10, true
0 is greater than -10, true
so the answer is -10, -2 and 0 can make this inequality true.
Jason bought 3 shirts for $24.99 each . How much did he spend on shirts
Answer:
he spent $8.33 on each shirt
Craig collects stamps he collected a total of 150 stamps if 88% of the stamps be collected were foreign how many stamps did he collect
Answer:
18 Non Foreign Stamps
Step-by-step explanation:
Given data
Total stamps= 150
Foreign Stamps= 88% of the total stamps
Hence the number of foreign stamps is
=88/100*150
=0.88*150
=132 Foreign Stamps
The number of stamps that is Non Foreign Stamps is
=150-132
=18 Non Foreign Stamps
PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP
USE THE PIC
10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.
Answer:
1.dd
2.Dd
3.dd
4.Dd
5.dd
Explanation:
It's genetics
D d
d D d
d D d
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
Answer:
$ 20,189.65
Step-by-step explanation:
Jake's parents want $100,000 at the end of 40 years. They put their money in an account that yields 4% per year compounded continuously. How much money should jakes parents deposit?
From the above question, we are to find the Principal. The formula for Principal compounded continuously =
P = A / e^rt
Where:
A = Amount after time t = $100,000
r = Interest rate = 4%
t = Time in years = 40 years
First, convert R percent to r a decimal
r = R/100
r = 4%/100
r = 0.04 per year,
Then, solve our equation for P
P = A / e^rt
P = 100,000.00 / e ^(0.04×40)
P = $ 20,189.65
Therefore, the amount Jake's parents should invest = $ 20,189.65
Shalini blusex batting scores were 13144 155 142 167 172 what was his score
Help plz................ Easy.......
Step-by-step explanation:
120° because opposite angles of parm are equal
Car survey in a survey of 1200 people who owned a certain type of car,600 said they would buy that type of car again.What percent of people surveyed were satisfied with the car?
Answer:
50 percent
Step-by-step explanation:
Total number of people in this car survey = 1200
Total number of people who they would still buy same car type = 600 (these are the satisfied people)
The percentage = 600/1200 x 100
= 0.5 x 100
= 50 percent
So the percentage of satisfied people who would buy this type of car again is 50%
Please help with this! Please don't get it wrong T0T
Answer:
45
Step-by-step explanation:
angle E is 115
angle C and B 20 degrees
180 - 135= 45
Estimate the quotient.6.2 ÷ 8
Answer:
0.775
Step-by-step explanation:
is 5he answer
Step by step
I need help with this math problem ASAP plsssss helppp. The problem is attached below
Answer:
234.67 in³
Step-by-step explanation:
volume of full sphere = 4/3(π)(r³) = 4/3(3.14)(5³) = 523.33 in³
volume of half sphere = 523.33/2 = 261.67 in³
volume of cube = LWH = 3³ = 27 in³
261.67 - 27 = 234.67 in³
If g(x)=−5x2−11 and f(x)=10x+5, find (f⋅g)(x).
Answer: -50x^3 - 25x^2 - 110x - 55
Step-by-step explanation: brainliets if its right
Together they ran a total of 30 laps. Runner B ran 6 more than twice as many laps as Runner A. Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A. Part B: How many laps did Runner A run? Part C: How many laps did Runner B run?
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
please help with numbers 5-18..ik its a lol but please this a 4 page packet and please show work
Answer:
5-18 answers below ↓
Step-by-step explanation:
5) 14/2=7
7^2=49
10^2=100
h^2+49=100
-49 -49
h^2=51 h=✓51= 3•17
6) 48/2= 24
24^2=576
44^2=1936
h^2+576=1936
-576 -576
h^2=1360 h=✓1360= 4•340
7) 24^2+b^2=32^2 (leg is short side & hypo.. is long side)
576+b^2=1024
-576 -576
b^2= 448 b=✓448=4•112 length of 3rd side it's hypo..
8) 24^2+b^2=45^2
576+b^2=2025
-576 -576
b^2=1449 b=✓1449=9•161 length of 3rd side hypo..
9) 40^2+b^2=85^2
1600+b^2=7225
-1600 -1600
b^2=5625 b^2=✓5625 b=75 length of 3rd side leg
10) 49^2+b^2=168^2
2401+b^2=28,224
-2401 -2401
b^2=25,823 b=✓25,823 b=49•527 length of 3rd side hypo..
11) 72^2+b^2=78^2
5184+b^2=6084
-5184 -5184
b^2=900 b=✓900=30 length of 3rd side leg
12) 7^2+x^2=10^2
49+x^2=100
-49 -49
x=51=3•17
13) 12^2+x^2=28^2
144+x^2=784
-144 -144
x=✓640=4•160
14) 44^2+x^2=52^2
1936+x^2=2704
-1936 -1936
x=✓768=4•192
15) 120^2+h^2=125^2
14,400+h^2=15,625
-14,400 -14,400
h^2=1,225 h=✓1225 h=35
16) might be wrong but worth a try 8+8=16
16^2+x^2=16^2
256+x^2=256 x=0 don't know these challenge ones sorry, but the rest of the questions are correct hope this helps u (:
What is 1/8 x 5/6 x 4/5 you will need paper.
Answer:
This would equal [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
We do this by just multiplying straight across
Numerators go first
[tex]1*5*4[/tex]
This equals 20
Now the denominators
This would be done by
[tex]8*6*5[/tex]
This equals 240
now all together this is
[tex]\frac{20}{240}[/tex]
Simplify
[tex]\frac{1}{12}[/tex]
Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways.
Answer:
yx
Step-by-step explanation:
The answer is yx
We can draw the conclusion that linear functions can be used to represent each of the ideas. Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
What is "Linear Function" ?A linear function is denoted by the equation y = mx + b, where m is the slope or unit rate between the two variables, x and y, and b is the beginning value or y-intercept.
The initial value is b.
A linear function is a graph with straight lines.
A unit rate exists for all linear functions (b).
here, we have,
given that,
Sarah's suggestion can be expressed by a linear function because the graph that represents it is a straight line.
Gene's Proposal's table displays the unit rate as change in y/change in x = 7. As a result, a linear function can be used to express it.
Paul's idea has a linear function as its equation.
This leads us to the conclusion that linear functions can be used to represent each of the ideas.
Due to the fact that each proposal's linear function has an initial value, the class now has money in its accounts (b).
Learn more about Linear Function Visit:
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the answer isn't 8-2root3 btw
Answer:
1.41226231144
Step-by-step explanation:
Answer:
Step-by-step explanation:
16cos(30)-20sin(60) -8sin(90)
look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)
sin(0) = 0 / 2
sin(30) = 1 / 2
sin(45) = [tex]\sqrt{2}[/tex] / 2
sin(60) = [tex]\sqrt{3}[/tex] / 2
sin(90) = [tex]\sqrt{4}[/tex] / 2 aka 1
now the numerators just count up from 90°
cos(90) = 0 / 2
cos(60) = 1 / 2
cos(45) = [tex]\sqrt{2}[/tex] / 2
cos(30) = [tex]\sqrt{3}[/tex] / 2
cos(0) = [tex]\sqrt{4}[/tex] / 2 aka 1
see the pattern.. it's pretty easy to memorize, knowing that :)
now let's use the above to plug into the given equation
16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2
8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] -8
-2*[tex]\sqrt{3}[/tex] - 8
this isn't quite the same answer as you got before.. I feel like it's right
Gracie and Mark are having a
contest to see who can sell the most
cupcakes. For every 3 that Mark
sold, Gracie sold 4. If Gracie sold 4
more than Mark, how many total
cupcakes were sold?
Answer:
Mark sold 12 cupcakes, meaning Gracie sold 16.
4 threes, and 4 fours.
Mark Gracie
O O O O O O O
O O O O O O O
O O O O O O O
O O O O O O O
Answer:
Step-by-step explanation:
m/g=3/4
m=3g/4, now we can express m in terms of g
g=4+m, using m found above in this equation gives you
g=4+(3g)/4
4g=16+3g
g=16, since m=3g/4
m=3(16)/4
m=48/4
m=12
So total cupcakes sold is 12+16=38.
38 cupcakes were sold.
Two heads 35 Two tails 23 One head, One tail 52 What is the theoretical probability that a coin toss results in two heads showing?
Answer:
[tex]Pr = 0.25[/tex]
Step-by-step explanation:
Given
Two heads ---> 35
Two tails ---> 23
One head, One tail ---> 52
Required
The theoretical probability of 2 heads
When a coin is tossed, the probabilities are:
[tex]P(Head) = 0.5[/tex]
[tex]P(Tail) = 0.5[/tex]
So, the theoretical probability of 2 heads is:
[tex]Pr = P(Head) * P(Head)[/tex]
[tex]Pr = 0.5 *0.5[/tex]
[tex]Pr = 0.25[/tex]
Notice that the given parameters were not used. Using them will only give us the result of the experimental probabilities, because they are recorded from an experiment
What is the surface area of the rectangular prism?
36 cm²
108 cm²
72 cm ²
54 cm²
Answer:
SA = 108cm² (the 2nd option)
Step-by-step explanation:
h = 4
l = 3
w = 6
SA = 2(lw + lh + wh)
SA = 2((3)(6) + (3)(4) + (6)(4))
SA = 2(18 + 12 + 24)
SA = 2(54)
SA = 108cm²
The surface area of the rectangular prism is 108cm².
Calculation of the surface area of the rectangular prism:Since
height = 4
length = 3
width = 6
So, here the surface area is
SA = 2(lw + lh + wh)
= 2((3)(6) + (3)(4) + (6)(4))
= 2(18 + 12 + 24)
= 2(54)
= 108cm²
hence, The surface area of the rectangular prism is 108cm².
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4. Kevin can clean a large aquarium tank in about 9 hours. When Kevin and Lara
work together, they can clean the tank in 6 hours. Write a rational equation that
could be used to determine how long it would take Lara to clean the tank if she
works by herself. You do not have to solve the equation. You may solve the
equation for extra credit.
Answer:
Part A
The rational equation that can be used to determine how long it would take Lara to clean the tank alone is; 6/9 + 6/x = 1
Part B
It would take Lara 18 hours to clean the tank if she works by herself
Step-by-step explanation:
Part A
The time it takes Kevin to clean an aquarium tank alone = 9 hours
The time it takes Kevin and Lara to clean the tank together = 6 hours
Let '1/x' represent Lara's cleaning rate, we have;
The time it would take Lara to clean 1 tank alone = 1/(1/x) = x
Kevin's cleaning rate, y = 1/9 tank per hour
The number of tanks, z = tank
The total time it takes both of them to clean the tank, t = 6 hours
Therefore, we get;
t × y + t × 1/x = z
When t = 6, y = 1/9, and z = 1, we get;
6 × (1/9) + 6·(1/x) = 1
Therefore, the rational equation that can be used to determine how long it would take Lara to clean the tank if she work by herself, '1/x', is given as follows;
6/9 + 6·(1/x) = 1
6/9 + 6/x = 1
Part B
Solving the rational equation gives;
1/x = (1 - 6/9)/6 = 1/18
∴ 1/x = 1/18)
∴ x = 18
The time it would take Lara to clean the tank if she worked by herself, x = 18 hours
Figure ZANY is a square. If ZY = 7x - 3 and ZA = 6x, what is the value of x
factorize 4x^3 -8x^2- 12x
Answer:
Step-by-step explanation:
4x³ - 8x² - 12x = 4x ( x² - 2x - 3)
= 4x (x² + x - 3x - 3*1)
= 4x [ x(x + 1) - 3(x +1)]
= 4x [ (x +1) (x - 3)]
= 4x (x + 1)(x-3)
Answer:4x^3 -8x^2- 12x
Taking common4 x
4X(x²-2x-3)
Doing middle term factorization
4x(x²-3x+x-3)
4x(x(x-3)+1(x-3))
4x(x-3)(x+1) is your answer
Step-by-step explanation:
The price of an object with 13% value added tax is 5763 . what will be the value added tax amount ? find it
Answer:
100. ~113
x ~ 5763(assume that X is price without VAT)
100×5763=113×x
X. =(5763×100)/113. (5763/113=51)
X= 51×100
X =5100
VAT=5763-5100
=RS.663
Given:
Interest rate,
13%Object price,
5763The value added tax will be:
→ [tex]\frac{13 \ percent}{100+13} = \frac{VAT}{5763}[/tex]
→ [tex]VAT = 5763\times \frac{0.13}{1.13}[/tex]
[tex]= 663[/tex]
Thus the approach above is right.
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4
The formula for the volume of a sphere is
V= 3 #rº. What is the formula solved for r?
Answer:
B. r = 3√(3V - 4π)
Step-by-step explanation:
volume of a sphere,V = 4/3πr³
Solve for r
V = 4/3πr³
V - 4/3π = r³
r³ = V - 4π/3
Cross product
r³ = V*3 - 4π
r³ = 3V - 4π
Find the cube root of both sides
3√r³ = 3√(3V - 4π)
r = 3√(3V - 4π)
What is the area of triangle ABC
Answer:
A = 24 cm²
Step-by-step explanation:
The area (A) of Δ ABC is calculated as
A = [tex]\frac{1}{2}[/tex] × AB × AC
Calculate AC using Pythagoras' identity
AC² + AB² = BC²
AC² + 6² = 10²
AC² + 36 = 100 ( subtract 36 from both sides )
AC² = 64 ( take the square root of both sides )
AC = [tex]\sqrt{64}[/tex] = 8
Then
A = 0.5 × 6 × 8 = 24 cm²
please anyone know anything abt geometry i really need it
Answer:
8,14,9 = yes
8 + 14 > 9 ✅
17,4,13 = yes
17 + 4 > 13 ✅
9,9,9 = yes
9 + 9 > 9 ✅
22,23,60 = no
22 + 23 > 60 ❌
PLEASE HELP!!! DISTRIBUTIVE PROPERTY