Answer:
x ≤ -27
Step-by-step explanation:
x/-9 ≥ 3
well since theres division and we want to separate the x's and the naked numbers by themselves were going to have to multiply
x ≥ 3 x -9
x ≥ - 27 (but since theres a negative the symbol ≥ is going to switch)
x ≤ -27
TIP: remember we always do the opposite when switching a numbers place for example if we have +9 if we switch it place to the other side its going to become -9, same thing with multiplication and division.
example:
3 + x = 5 or 3x = 5
x = 5 - 3 x = 5/3
~batmans wife dun dun dun...aka ~serenitybella
The solution to the inequality (x/-9) ≥ 3 in fraction form is x ≤ -27.
The relationship between the two values which are either greater or lesser than each other but not equal is called inequality.
The primary application of inequality is to compare two numbers on a number line.
The inequality can be solved as:
(x/-9) ≥ 3
Multiply both sides of the inequality by -9. The multiplication of a number with a negative sign changes the direction of the inequality.
The equation can be written as:
[tex]\dfrac{-9x}{-9} \leq -9(3)[/tex]
x ≤ -27
Thus, the solution to the inequality (x/-9) ≥ 3 is x ≤ -27.
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What is the approximate area of the shaded region?
Answer:
At = 21.5 cm2
Step-by-step explanation:
At = Asqr - Acircle
At = A1 - A2
A1 = 10^2 = 100
A2 = Pi*(5)^2 = 78.5
At = 100 - 78.5
At = 21.5 cm2
Best regards
For this case we have that by definition:
The area of a circle is: [tex]A_ {c} = \pi * r ^ 2[/tex]
Where r is the radius of the circle.
The area of a square is: [tex]A_ {s} = l ^ 2[/tex]
Where l is the side of the square.
The area of the shaded region will be:
[tex]A_ {sr} = A {s} -A_ {c}[/tex]
So:
[tex]A_ {s} = 10 * 10\\A_ {s} = 100 \ cm ^ 2[/tex]
On the other hand:
[tex]A_ {c} = \pi * (\frac {10} {2}) ^ 2\\A_ {c} = \pi * 25\\A_ {c} = 78.5375cm ^ 2[/tex]
Finally:
[tex]A_ {sr} = 100-78.5375\\A_ {sr} = 21.4625[/tex]
Rounding out, we have that the area of the shaded region is 21.5 square centimeters.
Answer:
Option D
Rectangle ABCD has a perimeter of 32 units and will be rotated about line k.
Answer:
the first one is (cylinder) and second one is (6 units)
The radius of base is, 5 units
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, it has a perimeter of 32 units and it is to be rotated about the line, the solid to be created it is a cylinder. As you can see below.
Hence, Let's calculate its radius, based on the information given, i.e. the perimeter as,
2p = 32
Since, We know that;
2p = b + b + h + h
2p = 2 (b + h)
2 (b + h) = 32
b + h = 16
And, bh = 60
This gives solutions,
b = 10 and h = 6
Since, the line of rotation is the center, and the radius is half the line segment of the basis,
Then, The radius is 5.
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Complete question is this,
Rectangle ABCD has a perimeter of 32 units and will
be rotated about line k.
What is the three-dimensional solid created?
cylinder
What is the radius of a base?
10 units
what is the algebraic expression of 24 decreased by q
Answer:
24-q
Step by Step Explanation :
24 decreased by q is basically saying 24 minus q which is 24-q
In the fifth grade there are 4/5 as many students who do not have glasses as those who do wear glasses if there are 60 students who wear glasses how many students are there in fifth grade
Answer:
300 students
Step-by-step explanation:
Since 4/5 of students do not wear glasses, 1/5 of students do.
There are 60 students who wear glasses, so let 'x' represent the number of students who wear glasses
(1/5)x = 60 is our equation. "One-fifth of the number of students who wear glasses is 60"
Now solve for x
(1/5)x = 60
x = 300 (multiply both sides by 5 to get rid of the fraction)
If x=17, then 27+x=y.
What does y equal?
Answer:
44=y
Step-by-step explanation:
27+x=y
We know x = 17, so we can substitute x=17 into the equation
27 + 17 = y
44=y
Answer:
[tex]y=44[/tex]
Step-by-step explanation:
Substitute 17 for x in the equation since [tex]x=17[/tex]
[tex]27+(17)=y[/tex]
[tex]44=y[/tex]
Area (the space inside a plane figure, Like a triangle or Circle) is measured using ___________ units
Answer:
m2 or inch2 or pulg2
Step-by-step explanation:
Answer: square units
Step-by-step explanation: when you hear of a shape area like 26 square feet or units
Find the area of the following polygon
Given: AC = 12, AD = 16
Answer:
The area of the polygon is [tex]116\ units^{2}[/tex]
Step-by-step explanation:
we know that
The area of the polygon is equal to the area of the triangle ADE plus the area of triangle ACD plus the area of triangle ABC
step 1
Find the area of triangle ADE
The area is equal to
[tex]A=\frac{1}{2}(AD)(EG)[/tex]
substitute the values
[tex]A=\frac{1}{2}(16)(3)=24\ units^{2}[/tex]
step 2
Find the area of triangle ACD
The area is equal to
[tex]A=\frac{1}{2}(AD)(CH)[/tex]
substitute the values
[tex]A=\frac{1}{2}(16)(7)=56\ units^{2}[/tex]
step 3
Find the area of triangle ABC
The area is equal to
[tex]A=\frac{1}{2}(AC)(BF)[/tex]
substitute the values
[tex]A=\frac{1}{2}(12)(6)=36\ units^{2}[/tex]
step 4
Find the area of the polygon
[tex]A=24\ units^{2}+56\ units^{2}+36\ units^{2}=116\ units^{2}[/tex]
Eighty-five percent of what number is 25.5?
A.
108
B.
18
C.
21.675
D.
30
The answer is D 30 .85x30=25.5
Answer:
D
Step-by-step explanation:
Answer is D
which graph shows a proportional relationship?
Answer:
The bottom left
Step-by-step explanation:
As one variable increases so does the other and it goes through the origin.
kristy ran 24 laps in chairity run and then walked 0.2 kilometer to the presentation table. The total distance Kristy traveled was 29.6 kilometers. What was the distance of each lap? Explain how you solved the problem.
total distance of 24 laps
29.6km - 0.2km
=29.4km
total distance of each lap
24 laps = 29.4km
1 lap = ?
Use cross-multiple
24 laps × X = 29.4km × 1 lap
X = 29.4km / 24
X = 1.225km
Answer
1.225km
Answer:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
Which ordered pair is a solution of y = x + 4?
A (0,0)
B (5,54)
C (7,28)
D (9,13)
Answer:
D (9,13)
Step-by-step explanation:
Substitute the points into the equation
y =x+4
A (0,0)
0=0+4
0=4 False This point is not a solution
B (5,54)
54 = 4+4
54=8 False This point is not a solution
C (7,28)
28 = 7+4
28 = 11 False This point is not a solution
D (9,13)
13 = 9+4
13=13 True This point is a solution
Answer:
plug in 13 for y you get x = 9 D(9,13)
PLZ HELP!!!
Determine if the set of ordered pairs represents a function. Explain why or why not. {(-4, 4), (-2, 2), (0, 0), (-2, -2)}
Answer:
This is a relation not a function
Step-by-step explanation:
This is not a function
The input x=-2 goes to both the output 2 and -2
Each input can only go to one output to be a function
Alex, Gil and Meg shared 740 cards. Alex had 20 fewer cards than Gil and 120 fewer cards than Meg. How many cards did Alex have?
PLEASE DRAW
HELP ME
Alex have 200 cards.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Alex, Gil and Meg shared 740 cards.
Alex had 20 fewer cards than Gil and 120 fewer cards than Meg.
Assuming Alex have x cards
Based on the given condition, write equation
[tex]x+(x+20)+(x+120)=740[/tex]
Solving the equation
[tex]3x =740-20-120[/tex]
[tex]3x=600[/tex]
[tex]x=200[/tex]
Hence, Alex have 200 cards.
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Alex had 193 cards. Meg had 120 more, Gil 20 more than Alex, for a total of 740 shared.
Let x be the number of cards Gil had.
Alex had x - 20 cards.
Meg had x + 120 cards.
The total number of cards is x + (x - 20) + (x + 120) = 740.
Combining like terms, we get 3x + 100 = 740.
Subtracting 100 from both sides, we get 3x = 640.
Dividing both sides by 3, we get x = 213.33.
Since the number of cards must be a whole number, we can round 213.33 down to 213.
Therefore, Alex had 213 - 20 = 193 cards.
So the answer is 193
What are the x-intercepts of the graph of the function below?
y = x2 + 3x - 28
A. (7, 0) and (4, 0)
B. (-7, 0) and (4, 0)
C. (-7, 0) and (-4, 0)
D. (7, 0) and (-4, 0)
Answer:
Correct Answer: B
Step-by-step explanation:
a triangle garden is being formed with stones. the three sides measure 4 meters by 6 meters by 7 meters. which of the following is a true statement about the side of the triangle?
The true statement is the side lengths will form a triangle because 6+7>4. So option (d) is correct.
To determine if the given side lengths can form a triangle, we need to apply the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Let's denote the side lengths as follows:
a = 4 meters
b = 6 meters
c = 7 meters
We'll check each possible combination:
1. \( a + b > c \): \( 4 + 6 > 7 \) (True)
2. \( a + c > b \): \( 4 + 7 > 6 \) (True)
3. \( b + c > a \): \( 6 + 7 > 4 \) (True)
Since all three conditions are true, the given side lengths (4, 6, 7 meters) can indeed form a triangle.
Thus, the correct option is D. The side lengths will form a triangle because 6 + 7 > 4.
Complete Question:
A triangular garden is being formed with stones. The three sides measure 4 meters by 6 meters by 7 meters. Which of the following is a true statement about the side lengths of the triangle?
A. The side lengths will not form a triangle because 6+4>7.
B. The side lengths will form a triangle because 4+6<7.
C. The side lengths will not form a triangle because 7+4<6.
D. The side lengths will form a triangle because 6+7>4.
which number is an irrational number A. 0.6 repeating B. 9/27 C.9/16 squared root D. 9/27 square root
Answer:
A - 0.6 repeating
Step-by-step explanation:
An irrational number cannot be written as a fraction - it is a number without end (like a repeating number)
What Is The Missing. Angle Measure Of This Isosceles Triangle
75+75=150
180-150=30
your missing angle is 30 degrees
A tree casts a shadow 9 meters long. At the same time, a building 54 meters tall casts a shadow 21 meters long. To the nearest meter, what is the height of the tree?
THanks!!!!
Answer:
G.) 23 meters
Step-by-step explanation:
makeing it into a proportion would be the easiest -
9/x = 21/54
21x = 486
/21 /21
x = 23.14
rounded out would be x = 23 meters
hope this helps!!
The height of the tree is 23 meters
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Let the height of the tree as 'x'.
The proportion can be set up as:
(height of the tree) / (length of the tree's shadow) = (height of the building) / (length of the building's shadow)
Plugging in the given values:
x / 9 = 54 / 21
To solve for x, we can cross-multiply:
21x = 54×9
21x = 486
Dividing both sides by 21:
x = 486 / 21
= 23.143
Hence, the height of the tree is 23 meters.
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the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round she plays?
Answer:
63
Step-by-step explanation:
80+69+78+73+75+63= 438
438/6 = 73
Hope this helps you! :)
in the function y= -1/2(x-1)^2+3, what effect does the negative sign have on the graph, as compared to the graph of y=x^2?
In the function y= -1/2(x-1)^2+3, the negative sign inverts the graph so that it opens downwards unlike y=x^2 that opens upwards. This is due to the negative slope which implies a descent in the graph when moving left to right, showing a negative correlation between x and y.
Explanation:In the function y= -1/2(x-1)^2+3, the negative sign in front of the fraction plays a vital role in the graph's orientation. Unlike the graph of y=x^2 which opens upwards, the negative sign causes the graph of the given function to open downwards. This occurs because the negative sign affects the slope of the function. Graphically, a negative slope means that as we move from left to right along the graph, it descends; showing a negative correlation between x and y. Thus in the concoction of a graph, when x increases, y decreases, or when x decreases, y increases. This is a fundamental rule in graphing quadratic functions.
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The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex]inverts the graph compared to[tex]y = x^2[/tex], making the parabola open downwards and indicating a negative relationship between the x and y values.
The negative sign in the function [tex]y = -1/2(x-1)^2+3[/tex] in comparison to the function [tex]y = x^2[/tex]inverts the graph of the parabola. While the graph of[tex]y = x^2[/tex]opens upwards, the negative coefficient causes the graph of the given function to open downwards. This means that instead of the parabola having a minimum point which occurs in [tex]y = x^2[/tex], the parabola will have a maximum point at the vertex (1, 3). As the x-value increases or decreases from the vertex, the y-value will decrease due to the negative sign, indicating that the two variables are negatively related. The general shape of the graph remains a parabola, but it is flipped vertically over the x-axis.
17=(-14)+K solve for K
Answer:
K=31
Step-by-step explanation:
17=(-14)+K
We want to isolate k
Add 14 to each side
17+14=(-14)+14+K
31 = K
Answer:
k=31
Step-by-step explanation:
Please answer fast!
A cubed-shape container has an edge length of 8 cm. The container is filled with decorative crystal cubes. Each cube has an edge of 1 cm and costs 5¢. What is the total cost of the crystal cubes in the container?
Answer:
[tex]\$25.60[/tex]
Step-by-step explanation:
step 1
Find the volume of the container
The volume is equal to
[tex]V=8^{3}=512\ cm^{3}[/tex]
step 2
Find the volume of the crystal cube
The volume is equal to
[tex]V=1^{3}=1\ cm^{3}[/tex]
step 3
Find the total number of crystal cubes in the container
Divide the volume of the container by the volume of the crystal cube
so
[tex]512/1=512\ crystal\ cubes[/tex]
step 4
Find the cost
Multiply the number of crystal cubes by $0.05
[tex]512*0.05=\$25.60[/tex]
Which graph shows the equation v = 4 +2t
Answer:
See attached picture
Step-by-step explanation:
This is a linear equation. To graph it, use the model y = mx + b where m is the slope and b is the y-intercept. Here m = 2 and b = 4. Start at the point (0,4) on the y-axis. Mark this point because it is the y-intercept. Then move up 2 units and over 1 to the point (1, 6). Mark this point. And connect. This is the correct graph. See attached picture.
the function g is defined by the following rule g(x)=4x-5
Answer: 5/4, or 1.25
Step-by-step explanation:
To solve, get a variable on one side. First, add 5 on both sides.
g(x) = 4x-5+5
Next, divide by four.
5/4 = 4x/4
Now, solve.
5/4, or 1.25 = x
What is the area in terms of pi
Answer:
C = 70π cmA = 2,450 cm²Step-by-step explanation:
The perimeter of the given figure is equal to the circumference of whole circle.
The formula of a circumference of a circle:
[tex]C=\pi d[/tex]
d - diameter
We have d = 70 cm. Substitute:
[tex]C=70\pi\ cm[/tex]
The area of given figure is equal to the area of rectangle 70cm × 35cm.
(look at the picture).
The area of a rectangle:
[tex]A=(70)(35)=2,450\ cm^2[/tex]
The area of a circle is given by the formula A = πr², where π represents pi, and r the radius. The area can be left in terms of pi to avoid rounding errors, with the example of a circle with 1.2-meter radius having an area of approximately 4.5 m² when considering significant figures.
The area of a circle is expressed as A = πr², where π (pi) is approximately 3.14159265, and r is the radius of the circle. In terms of pi, this formula is often left in the form of πr² to retain the exact value without rounding. For example, if we have a circle with a radius of 1.2 meters, the area would be calculated as A = π(1.2 m)² = 4.5238934 m² using a calculator with eight-digit precision. However, since the radius is given with two significant figures, the appropriate representation of the area would be A=4.5 m².
It is important to note that when expressing the area in terms of pi, you may encounter different contexts such as finding the area of a semicircle using the definite integral that results in r²/2 for the semicircle's area, or understanding proportionalities in a circle divided into slices.
3.....simplifyyyyyyyyy
Answer:
Step-by-step explanation:
Using law of indies;
√Xᵃ = Xᵃ/²
√(0.08¹²) = (0.08¹²ˣ¹/²)
= 0.08⁶
The correct answer is A; (0.08)⁶
For this case we must simplify the following expression:
[tex](\sqrt {0.08 ^ {12}}[/tex]
By definition of properties of powers and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So, we can rewrite the given expression as:
[tex]0.08 ^ {\frac {12} {2}} =\\(0.08) ^ 6[/tex]
Answer:
[tex](0.08) ^ 6[/tex]
Option A
The floor of a round hut has a diameter of 4 meters. What is the floor's circumference? Use 3.14 for .
Answer:
12.56
Step-by-step explanation:
C= 2 x 3.14 x 2
(the other 2 is half of the circumference)
To find the circumference of a round hut floor with a diameter of 4 meters, use the formula Circumference = π x Diameter, resulting in 12.56 meters.
The circumference of a round hut with a floor diameter of 4 meters can be calculated using the formula Circumference = π x Diameter.
Given Diameter = 4mUsing π ≈ 3.14, Circumference = 3.14 x 4 = 12.56 metersPLEASE HELP ME ILL MARK AS BRAINLIEST
0.05 ---> 1/18
square root of 0.25 ------> 0.05
1/7------> 0.142857 repeating
0.6 -------> 2/3
Answer:
0.05 ---> 1/18
1/7 ---> 0.142857
0.6 ---> 2/3
0.25 ---> 0.05
Step-by-step explanation:
33/25 as a percentage
Answer: 132%
Step-by-step explanation:
What does the line ] 5x+2y=8 5 x + 2 y = 8 look like?
it looks like somebody else is already answering this for you, but if you are in need of an answer for a question like this fast just go to desmos.com and input your function it will show you what the graph will look like