The compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
We know that, the area of rectangle is given by:
Area = Length × Breadth
Now, we will substitute the values of length as 4x and breadth as 5 in the formula:
= 4x × 5
= 20x
Now. we will substitute this value in the inequality 100 ≤ A ≤ 1,000 to get the compound inequality:
100 ≤ 20 x ≤ 1,000.
Therefore, the compound inequality for the area written in terms of x is 100 ≤ 20x ≤ 1,000.
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PLEASE HELP! Need help quick!
Joaquin started an online music collection with 105 songs. Each week, Joaquin purchases 4 new songs to add to his collection.
Which inequality can be used to find w, the number of weeks after starting his collection, when Joaquin will have more than 200 songs in his collection?
A- 105w+4<200
B- 105w+4>200
C- 4w+105<200
D- 4w+105>200
Answer: The answer will be D
Step-by-step explanation: I think the answer will be C because you can multiply this as I did to get the answer so its C
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When this expression is simplified, what is my final answers
-5(2x - 5)
O 10x + 25
O 52x - 25
O-7x + 25
O-10x + 25
Answer:
-10x + 25
Step-by-step explanation:
We will distribute the - 5 in to 2x which is - 10x
Then distribute - 5 to - 5 which is 25
15. On the cross-country team, 7th graders
are required to run x number of miles each
morning. 8th graders are required to run 15%
more than the 7th graders. Which expression
represents the number of miles an 8th grader
is required to run?
Translate each phrase into an algebraic expression: Jame has 20 more dollars than 3 times the amount Brittany has.
x = 20+ 3y
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Jame = x
Brittany = y
x = 20+ 3y
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determine the position of each hidden term. -14 is the _th term of 2 1/5, 2 , 1 4/5
-14 is the 81th term.
What is the position of -14?The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.
To confirm : 2 1/5 - 2 = 1/5
The linear equation that can be used to determine the position of a number is:
2 1/5 - 1/5(x)
Where x is the position of the number
For example, the third number is
2 1/5 - 1/5(3) = 1 4/5
Given the number, the position of the number can be determined using the above linear equation:
-14 = 2 1/5 - 1/5(x)
In order to determine the value of x, take the following steps:
Multiply through by 5
(-14 x 5) = (11/5 x 5) - (x / 5 x 5)
-70 = 11 -x
Combine similar terms: 70 + 11 = x
Add similar terms: x = 81
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4=2x+y
-6x-3y=-12
Elimination
Answer:
infinitely many solutions
Step-by-step explanation:
4=2x+y
-6x-3y=-12
First, line up the variables in the right place
4=2x+y
-12=-6x-3y
Choose the variable you want to eliminate, I will do x
Multiply everything in the first equation by 3
3(4)=(2x+y)3
-12=-6x-3y
Simplify
12=6x+3y
-12=-6x-3y
If we combined everything, it would all cancel
This means there are infinitely many solutions
in 2018, the population density in singapore was 21,400 residents per square mile. what is the population density of singapore in residents per square kilometer? (note that 1 mi
The population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
What is Population Density ?
The ability to compare settlement intensities across geographical areas is made possible by population density. The number of persons per square mile of land area is the most common way to express population density in the United States.The given parameters are
Number of people = 21400 residents
Area = 1 mi²
Convert the square mile to square kilometer
1 x 1.609² = 2.588881 Km²
Population density = Number of residents ÷ area
Population density = 21400 ÷ 2.588881
Population density = 8266.12 per square kilometer
Therefore, the population density of Singapore in residents per square kilometer is 8266.12 per square kilometer
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Solve for x.
3x = 6x-2
x=2|3
x=3/2
x=2
Answer:
2/3
Step-by-step explanation:
here were 34 bales of hay in the barn. Dan stacked more bales in the bar
today. There are now 64 bales of hay in the barn. How many bales did he store in the barn?
A flagpole makes a 15-foot long shadow. The angle of elevation with the end of the shadow and the ground
makes a 65° angle. What is the height of the flagpole?
Answer:
12.5988 feet.
Step-by-step explanation:
Length of shadow = 15 feet.
Height of flagpole = A.
We know the angle of elevation is 40∘. Using this angle and the tangent ratio, we can find A.
Hope this helps! :)
The cross-section of a lean-to shelter is in the shape of a triangle. The base of the
triangle is 10 feet more than twice its height. If the area of the triangle is 126
square feet, determine the length of the base and the height of the triangle in feet.
foot
The length of both the triangle's base and height in feet.
length of base = 32ft
height = 14 ft.
The triangle's base and height:The base of a triangle can be any of its sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.
According to the given data:Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.
A = ¹/₂bh
b = length of base
h = height
the base of the triangle is 10 feet more than twice its height, we have that
b = 2h + 10
A = ¹/₂bh
A = ¹/₂(2h + 10)h
A = h² + 5h
Since the area of the triangle is A = 126 ft², we have that;
h² + 5h = 126
h² + 5h - 126 = 0
h² +(14h -9h) - 126 = 0
h² +14h -9h - 126 = 0
h(h + 14) -9(h + 14) = 0
(h + 14)(h - 9) = 0
Hight cant be negative:
h = 14
Length of the base is b = 2h + 10
b = 2h + 10
b = 2(14) + 10
b = 28 + 10
b = 35 ft
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Find the equation of the line show
Answer:
the equation is y=1/2+0.5
Let the vector v have an initial point at (6, 3) and a terminal point at (2, 2).
Determine the components of vector V.
√17 unit is the components of vector V .
what is components of vector?
A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.
The initial and terminal points of a vector v are given by
(6, 3) and (2, 2).
Hence:
The component form of v is
V = ( 2 - 6) ( 2 - 3)
= ( -4 , -1)
The length of the vector is
l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex] = √17 unit
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What is the value of a?
Answer:
15 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in the given values,
25^2 = a^2 + 20^2
625 = a^2 + 400
625 - 400 = a^2 + 400 - 400
a^2 = 225
[tex]a = \sqrt{225} [/tex]
= 15
Hope this too helped! ^^
I'd recommend watching a video or two on the topic of Pythagoras Theorem, if this explanation isn't clear enough.
If a person drives 360 miles at an average of 35 miles per hour, then their distance d from the destination (in miles) is a function of the number of hours h driven.
The required function is d = 360 - 35h, 0 ≤ h ≤ 10.29.
We know that distance travelled is equalled to speed multiplied by time.
Let d be the distance from the destination.
Let d₁ be the distance travelled in h hour.
And h be the number of hours driven.
Given that the average speed is 35 miles per hour.
Therefore, we have d₁ = 35h
And the initial distance from the destination is 360 miles.
Note at time h= 0 the distance from the destination is the maximum which is 360 miles.
Therefore, we have d₁ = 35h
Distance from the destination is 360 - d₁.
⇒ d = 360 - d₁
⇒ d = 360 - 35h
Time taken to reach destination = d/v = 360/35 = 10.29 hours
Therefore the required function is d = 360 - 35h, 0 ≤ h ≤ 10.29
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An elementary school is offering 3 language classes one in spanish one in french, if 2 students are chosen randomly, what is the probability that at least 1 is taking a language class?
The probability that atleast one students is taking a language class is 0.7
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
Let :
Spanish = S ; French = F ; German = G
SnFnG = 3
(SnF) only = 9 - 3 = 6
(SnG) only = 5 - 3 = 2
(FnG) only = 5 - 3 = 2
S only = 28 - (6+3+2) = 17
F only = 21 - (2+3+2) = 14
G only = 12 - (6+3+2) = 1
Student not taking any of the classes are;
(100 - (17+14+1+2+2+6+3))
100 - 45 = 55
Atleast 1 is taking a language class out of 2 selected
The probability that atleast one students is taking a language class :
(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)
= 0.7
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Solve Multi-Step Equations
X/5-9=1
Answer:
50
Step-by-step explanation:
[tex]\frac{x}{5}-9=1 \\ \\ \frac{x}{5}=10 \\ \\ x=50[/tex]
Three numbers are in the ratio 2:5:7 and their lcm is 490 find the square root of the largest number
Answer:
49
Step-by-step explanation:
The ratio of three numbers = 2:5:7
Then the numbers are 2x,5x and 7x
Given that the LCM of these numbers = 490
LCM of 2x,5x,7x is 2×5×7×x = 70x
Then, we have 70x = 490
x = 7
Hence, the numbers are 14, 35 and 49
Largest number = 49
∴The square root of the largest number = 7
Given the check digit is 3, find the missing number X for the Mater card number 5164 2X13 2705 0183?
SHOW WORK . please help!
Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
Select an angle pair that represent two adjacent angles
Calculate the size of angle t
State any circle theorems that you use
Answer: 48
Step-by-step explanation:
The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.
Using this knowledge we have that
t = 2 * 24
t = 48 degrees
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sup yall
solve 4p-7r=pq+16 for p
Answer:
p = (7r+16) / (4-q)
Step-by-step explanation:
4p - 7r = pq + 16
Add 7r to both sides.
4p = pq + 16 + 7r
Subtract pq from both sides.
4p - pq = 7r + 16
Factor out p from the left side.
p(4 - q) = 7r + 16
Divide both sides by (4 - q).
p = (7r + 16)/(4 - q)
The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.
The function h(x) = x^2 - x - 2 / x^2 - x - 6 has a vertical asymptote at x =
A. 6
B. 3
C. -2
D. -1 and 2
E. -2 and 3
Answer:
The function h(x) =x^2-x-2/ x^2-x-6=
E.-2 and 3
Is the graph increasing, decreasing, or constant?
O A. Increasing
• B. Decreasing
C. Constant
Answer:
b decreasing its korrect now
The workers at Antonio's pizza shop can make 18 pizzas for every hour. They have already made 40 pizzas. Write a function rule that can be used to determine the number of pizzas at Antonio's pizza shop f(p) at p hours.
Answer:
f(p) = 18p + 40
Step-by-step explanation:
Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p
They already have 40 pizzas
So total number of pizzas at any time p is f(p) = 18p + 40
The diagram shows five touching semicircles, each with radius 2. What is the length of the perimeter of the shaded shape? Give your answer in terms of π
The Length of perimeter of the shaded shape is; 24 - 8π
What is the Perimeter of the shaded area?
Let us first find the rectangle measurements that contains the shaded portions.
Width of rectangle = 2 * 4 = 8
Length of rectangle = 2 + 2 = 4
Perimeter of rectangle = 2(8 + 4) = 24 units
Now, let us find the perimeter of all semi circles and quarter circles that fall into into this rectangle region;
Perimeter of semi circles = πr + πr + πr + πr/2 + πr/2 = 4πr
Perimeter of semi circles inside the rectangle = 4π * 2 = 8π
Thus;
Length of perimeter of shaded shape = 24 - 8π
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To solve this problem, which should you do first? (Check all that apply)
Group of answer choices
Subtract 0.8 - 1/10
Change 40.8 to 40 8/10
Subtract 40 - 14
Change 14 1/10 to 14.1
PLEASE HELPPP
The first step to solve the equation is;
⇒ ''Change 14 1/10 to 14.1''
What is Mixed fraction?
A fraction which is represented with its quotient and remainder is called a mixed fraction.
The problem is given as,
40.8 - 14 1/10
Now, To solve the equation we have firstly change 14 1/10 as
40.8 - 14 1/10
40.8 - 14.1
Then, Subtract the numbers as,
26.7
Solution of the problem is 26.7.
So, The first step to solve the equation is;
⇒ ''Change 14 1/10 to 14.1''
Option 4 is true.
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26. Paul had 3 7/8 cups of milk. He gave 1 %4 cups of milk to his cat. How much milk did he have left?
HELP PLEASE!!! :( .
Answer: The cat has left over the milk is 3.625 cups
Step-by-step explanation:
Amount of cups of milk=3(7/8) cups
That means, 3(7/8) cups= 31/8 cups
Amount of milk cat gave=1/4 cups
The amount of left over the milk :
Subtract with this values
=(31/8) -(1/4)
=3.875-0.25
=3.625
The cat has left over the milk is 3.625 cups
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solve:
2(3x-2)+5x-3=2
SHOW ALL STEPS
Answer:
x = 9/11
Step-by-step explanation:
distribute the 2:
6x - 4 + 5x - 3 + 2
combine like terms:
11x - 7 = 2
add 7 to both sides:
11x = 9
divide by 11 to isolate x:
x = 9/11
Step-by-step explanation:
Distribute 2 to 3x-2
[tex]6x - 4 + 5x - 3 = 2[/tex]
Them combined like terms
[tex]11x - 7 = 2[/tex]
Then add 7 to both sides
[tex]11x = 9[/tex]
Then divide by 11 and get
[tex] \frac{9}{11} [/tex]
One cubic meter represents a cube shape that measures 1 meter in all three dimensions. how long is each side in centimeters?
Each side of cube is 100 cm.
What is a cube?In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
Given that,
Volume of cube = 1 cubic meter
We know that,
1 m = 100 cm
Also volume of cube = [tex]a^{3}[/tex]
Then,
Volume of cube = 1000000 cm
[tex]a^{3}[/tex] = [tex]100^{3}[/tex]
a = 100 cm
Hence, Each side of cube is 100 cm.
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