Substitute each given value of the variable to find which, if any, is a solution of inequality.
Answers
Given:
The inequalities are:
a) [tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
b) [tex]t>-25, t=-24, -25, -25.1, -27[/tex]
To find:
The solution of inequalities by substituting the given values.
Solution:
a) We have,
[tex]w<-8, w=-4.3, -5.3, -8.3, -9[/tex]
After substituting the given values one by one, we get
[tex]-4.3<-8[/tex] False statement.
[tex]-5.3<-8[/tex] False statement.
[tex]-8.3<-8[/tex] True statement.
[tex]-9<-8[/tex] True statement.
Therefore the solutions of [tex]w<-8[/tex] are [tex]w=-8.3, -9[/tex].
b)
We have,
[tex]t>-25, t=-24, -25, -25.1, -27[/tex]
After substituting the given values one by one, we get
[tex]-24>-25[/tex] True statement.
[tex]-25>-25[/tex] False statement.
[tex]-25.1>-25[/tex] False statement.
[tex]-27>-25[/tex] False statement.
Therefore, the solution of [tex]t>-25[/tex] is [tex]t=-24[/tex].
Related Questions
john is a proud owner of a herd of cows 12 of them are brown and 32 are black what is the ratio of brown cows to the total number of cows?
Answers
Answer:
12:44, or if simplified 3:11
Step-by-step explanation:
In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3). Similarly, the ratio of lemons to oranges is 6∶8 (or 3∶4) and the ratio of oranges to the total amount of fruit is 8∶14 (or 4∶7).
Answer:
3 : 11
Step-by-step explanation:
Total number of cows = 32 + 12 = 44
Brown cows : Total
12 : 44 =
3 : 11
4 and 5 are alternative interior angles. Find the measure of angle 4.
Answers
Answer:
<4 = 115
Step-by-step explanation:
<4 = 115 because of vertical angles
HERE for help me one more
Answers
Answer:
Im pretty sure its D.
Step-by-step explanation:
I think it would be option D. Is it considered the subsoil layer
A line passes through the point (-2, 2) and has a slope of – 6.
Write an equation in slope-intercept form for this line.
Answers
Answer:
y = -6x - 10
Step-by-step explanation:
(-2, 2), m = -6
Slope-intercept:
y - y1 = m(x - x1)
y - 2 = -6(x + 2)
y - 2 = -6x - 12
y = -6x - 10
The plan shows dimensions for your new kitchen cabinets. In order to leave an opening for the window, you have designed two cube-shaped cabinets. These connect to two long cabinets that are rectangular prisms in shape. How much space will you have inside the cabinets?
Answers
Answer:
24.75 thats it
Step-by-step explanation:
Find the value of x.
35°
B
40°
H
100°
A
D
F
х
60°
55°
E
x= [?]°
Answers
Answer:
25!
Step-by-step explanation:
The value of measure of arc FE is 25°.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
In the figure, GB and GD are the secants of the circle.
In circle, intercept two arcs such that the measure of the angle that the segments form is equal to one-half the difference of the measures of the intercepted arcs. Thus arc length can be found as
[tex]\frac{1}{2}(mBD-mFE)=m \angle BGD[/tex] -------- (1)
Here, BD = [tex]35+100[/tex]
⇒ [tex]135[/tex]
FE = [tex]x[/tex]
m∠BGD = 55°
Now, equation 1 becomes
⇒ [tex]\frac{1}{2}(135-x)=55[/tex]
⇒ [tex](135-x)=55(2)[/tex]
⇒ [tex]135-x=110[/tex]
⇒ [tex]x=135-110[/tex]
⇒ [tex]x=25[/tex]
Hence we can conclude that the value of measure of arc FE is 25°.
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A card deck for a board game has 20 cards, of which 4 are red, 6 are blue, and 10 are purple.
What is the probability of randomly selecting a blue card, then a purple card, without replacement?
Enter your answer as a fraction, rounded to the nearest hundredth, like this: 4/23
Answers
Answer:
6/20, 3/10, or 30% chance
Step-by-step explanation:
hope it helps
Answer:
The correct answer is going to be 3/19
In a coffee shop, cups of coffee cost 2$ and muffins cost 3$. The maximum amount that you can spend is $18. The equation that relates the number of coffees and muffins is 2c + 3m = 18
Answers
Answer:
c= 0 m=6
Step-by-step explanation:
0x2= 0
3x6=18
18+0=18$
a rectangular prism has a lenghth of 9 inches a width of 4 inches and a height 1 1/2 inches the prism is filled with cubes that have edge lengths of 1/2 inches how many cubes are needed to fill the rectangular prism please help man
Answers
108 cubes would be needed to fill the prism
Please help y’all
In the diagram below, XY is
tangent to OC at point P.
What is m
Answers
Answer:
90
Step-by-step explanation:
Tangents meet the end of a radius that is not at the center of a circle.
The tangent makes a 90 degrees angle with that end of the radius.
Answer:
m<CPX = 90°
Step-by-step explanation:
The line tangent to a circle states that when a line is a tangent to a circle, a radius that is drawn from the center to the circle to the point of tangency will be perpendicular to the tangent line
Apply this theorem to the given circle, one can state that (m<CPX= 90°) and (m<CPY = 90°), since (XY) is tangent to the circle will radius (CP).
convert 5 cubic miles to cubic feet
Answers
Answer:
7.36e+11
Step-by-step explanation:
and this........................
Answers
Answer:
stephanie is right
Step-by-step explanation:
-3x + 6 = -24
-3x = -24 - 6
-3x = -30
x = 10
Answer: "Stephanie claims the answer is 10"
Step-by-step explanation:
-3x + 6 = -24
subtract 6 from both sides
-3x = -30
divide -3 from both sides
x = 10
Help, I cant find the answer on this circle answer
Answers
Answer:
d.
Step-by-step explanation:
Apply the angle of intersecting secant theorem.
[tex] \frac{12x - 5 - 2x + 7}{2} = 6x + 19[/tex]
[tex] \frac{10x - 12}{2} = 6x + 19[/tex]
[tex]5x - 6 = 6x + 19[/tex]
[tex] - 6 = x + 19[/tex]
[tex]x = 13[/tex]
Plug 13 into Arc SW.
[tex](12)(13) - 5 = 151[/tex]
In ΔQRS, r = 930 cm, q = 920 cm and ∠Q=114°. Find all possible values of ∠R, to the nearest 10th of a degree.
Answers
Answer:
112.6 degrees
Step-by-step explanation:
PLEASE HELP!! 100 POINTS ILL MARK BRAINLIEST
Answers
Answer:
Step-by-step explanation:
1. ? = (70+120)/2 = 95
ans is D
2. ? = 130/2 = 65
ans is A
3. ? = 90/5 = 45
ans is D
4. ? = (110+62)/2 = 86
ans is B
5. ? = 104/2 = 52
ans is A
6. ? = (90-53)*2 = 74
ans is D
Answer:
Hope this help you .look it once.
Otis has saved $18,500 so far to buy a
house. He can put this amount into an
account that earns 5.1% simple interest,
or another with 5.1% compounded
annually. Which method of earning
interest should he choose, simple or
compound, and how much more interest
will the account earn using that method
after 4 years?
F Compound interest; $15,106.30
G Simple interest; $15,106.30
H Simple interest; $298.65
J Compound interest; $298.65
no
Answers
9514 1404 393
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
The quotient of 5 and the sum of 10 and twice y.
Answers
Answer:
dadddddddddddddddddddddddddddddddddddddddddddd
Step-by-step explanation:
Answer:
5 divided by 10 + y
Step-by-step explanation:
Not really sure but I think it's right
Which number has the greatest value
A 8.07 x 10^5
B 1.34 x 10^-4
C 9.23 x 10^-3
D 7.92 x 10^2
Answers
Answer:
See the explanation below
Step-by-step explanation:
Which number has the greatest value
From the given list of numbers
Option A has the greatest value
A 8.07 x 10^5
This is because it is raised to a positive number 5, and also the integer is the largest that is raised to a non-negative number/power
How many squares will it take to fill the large square?
es
A)
5
B)
10
C)
25
D)
50
Answers
Answer:
you need 50 squares
please mark as brainliest
There will be 25 squares will it take to fill the large square. Option C is correct.
It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
The number of squares is obtained as the relation,
=n×n
As we obtained the value of n is 5.
The number of squares will it take to fill the large square is,
=5×5
=25
Thus, there will be 25 squares will it take to fill the large square. Option C is correct.
Learn more about the square here:
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answer correctly for brainliest
Answers
Answer:
B
Step-by-step explanation:
Those are the options
Answers
Answer:
Angle addition postulate
Step-by-step explanation:
Which table represents a function?:))))))
-2
-1
0
-1
-2.
y
0
1
1
2
2
-2
_1
0
1
2
-1
-1
0
1
2
2
1
0
1
2
y
-2
-1
0
1
2
_1
-1
0
2
2
Y
-2
-1
0
1
2
Answers
Answer:
x y
2 -2
-1 -1
0 0
1 1
2 2
Step-by-step explanation:
It's the only table that doesnt repeat a number separately on the domain or range
Answer:yeah
Sp the person above did it well
Step-by-step explanation:
e
HELP ASAP!! PLEASE!! Which ordered pair is not a solution to the equation y = 6.15 + x?
A) (2.41, 8.56). B) (6.09. 12.24). C) (9.72, 15.87). D) (12.42, 18.09)
Answers
Answer: D (12.42, 18.09)
Explanation:
For A, if you substitute them, 6.15+2.41(x because x always is first), you get 8.56 but y is 8.56. So therefore, A is wrong cause it is a solution but it asks us for an incorrect solution.
For B, if you substitute the numbers, 6.09+6.15 = 12.24 but y is 12.24 meaning 12.24 = 12.24 which is true. But the question asks us which is not true/a solution, so therefore, B is also wrong.
For C, if you substitute the numbers, you get 9.72+6.15 which is 15.87. Since y is 15.87, the substituted question is 15.87=15.87 which is true and therefore, C is also wrong since it is true but it is asking us for an incorrect solution.
We are then left with D, which is the correct option. I'm guessing you want an explanation for why it is correct. So if you substitute the numbers, you would get y = 12.42+6.15 and 12.42+6.15 is 18.57 but y is 18.09. So the equation is 18.09 = 18.57 which doesn't make sense and is false. Thus, D is the correct answer because it provides a set of numbers that is a false solution to the equation.
REMEMBER:
In an ordered pair, x is the first number while y is the second, so make sure you substitute correctly!
Pls help! No bots pls
Answers
Question:
What are the solutions to 8x² − 25x = −24
Answer:
D.) x = [tex]\frac{(25+\sqrt{143}) }{16}[/tex] and [tex]\frac{(25-\sqrt{143}) }{16}[/tex]
Quadrilateral RUST has a vertex at R(2, 3).
R
What are the coordinates of R'after a dilation by a scale factor of 3, centered
at the origin, followed by the translation (x, y) - (x,y - 1)?
A. (6,2)
B. (6,8)
C. (6,6)
D. (5,8)
Answers
Answer:
6, 8
Step-by-step explanation:
a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast
Answers
Answer:
$1.50
Step-by-step explanation:
12/8 = 1.50
Answer:
each taco cost $1.50
Step-by-step explanation:
12÷8=1.50find the measure of angle b
Answers
Answer:
130
Step-by-step explanation:
sum of supplementary angle is 180
180-50
130
please help me with this. find the area by composing or decomposing into triangles or other shapes as needed.
Answers
Answer:
Okay so if I did my math correct the answer should be 168 yd
Step-by-step explanation:
If you make it into a rectangle by sliding the shape up on its right side. Your bottom or base of 10 will change to be 8 if I am not mistaking it.
Let me know if that is right
What is the greatest common factor of 18, 24, and 40?
Answers
Answer:
The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
Then the greatest common factor is 2.
The greatest common factor of 18 , 24 and 40 is HCF = 2
What is HCF and LCM?The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Product of HCF x LCM = product of two numbers
Given data ,
Let the HCF be represented as H
Let the first number be represented as p
Now , the value of p = 18
Let the second number be represented as q
Now , the value of q = 24
Let the third number be represented as r
Now , the value of r = 40
And , the factors of 18 = 1, 2, 3, 6, 9 and 18
The factors of 24 = 1, 2, 3, 4, 6, 8, 12 and 24
The factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40
So , the HCF of 18 , 24 and 40 is the number 2
Hence , the HCF is 2
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What is this 1=-t-5?
Answers
Answer:
t = -6
Step-by-step explanation:
1 = -t - 5
-t = 1 + 5
-t = 6
t = -6
Answer:
t=-6
Step-by-step explanation:
1=-t-5
1+5==-t-5+5
6=-t
t=-6
