List the integers that satisfy both these inequalities.
Put the answers on one line.
Answers
Answer:
-7, -6, -5, -4, -3
Step-by-step explanation:
Given:
2x + 5 < 0
x > -8
Thus, we can combine both statements to find out integers that satisfy both inequalities.
2x + 5 < 0
Let's find x
2x < 0 - 5 (substraction property)
2x < -5
Divide both sides by 2
x < -5/2
This implies that -5/2 is greater than the set of values of x.
The second inequality, x > -8 implies that -8 is less than the value of x.
Les combine both:
-8 < x < -5/2
Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.
Thus, they are:
-7, -6, -5, -4, -3
Related Questions
SELECT ALL THAT APPLY! HELP K THANKS
Answers
Here are the heights (in inches) of 8 students in a seminar.
62. 68. 60. 65. 69. 60. 63. 66
What is the percentage of these students who are shorter than 68 inches?
Answers
75% of the students are shorter than 68 inches.
Of the 8 students, only 2 are 68 inches tall or more, meaning theres 1/4 or 25% of students who are taller than 68 inches. That being said, that means there are 3/4 or 75% of students shorter than 68 inches. Thus meaning 75% is your answer.
I hope this helps!
Please help this question finding a side on a triangle
Answers
Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
A srtuv
B srvut
C vrust
D rsvut
Answers
Answer:
B. srvut
Step-by-step explanation:
To name a polygon, or any shape, remember that you must name it so that each angle is in order. Basically, do not go from angle s to angle u, and instead go to angle stu or srvu.
Hope this helps :)
Ingrid dug a trench 18/20 of a meter long. The next day she dug 9/20 of a meter more of the trench. What is a reasonable estimate of the total length of the trench?
Answers
Plot points (3, –8) and (3, 4) on the coordinate plane.
What would be the length of the line segment that connects the points?
Answers
Answer:
[tex]\displaystyle d = 12[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, -8)
Point (3, 4)
Step 2: Identify
x₁ = 3, y₁ = -8
x₂ = 3, y₂ = 4
Step 3: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(3-3)^2+(4+8)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(0)^2+(12)^2}[/tex][Distance] [√Radical] Evaluate exponent: [tex]\displaystyle d = \sqrt{(12)^2}[/tex][Distance] [√Radical] Evaluate/simplify: [tex]\displaystyle d = 12[/tex]Answer:
12 units
Step-by-step explanation:
Edgenu ity
what operation do u use to solve the inequality
Answers
To solve this inequality you need to add 2 to both sides.
Which means the answer is add, but I will solve it in this explanation too.
x-2≤1
x-2+2≤1+2
x≤3
Hope this answer helped!
A jar contains n nickels and d dimes. There are 31 coins in the jar, and the total value of the coins is $2.10.
Answers
Answer:
11 dimes 20 nickels
Step-by-step explanation:
Only combo that makes $2.10
How do you do the math on this? Movie starts at 4:38pm and ends at 6:22pm. How long was the movie?
Answers
Answer:
1hr 44 mins
Step-by-step explanation:
Answer:
2 hours and 24 minutes
Step-by-step explanation:
4.38 - 6.22 = 1.84 (the one would be and hour and the 84 would be minutes)
84 - 60 = 24 (60 minutes equal an hour)
2 hours and 24 minutes would be your answer
How many years did the video estimate it took for the elephant to evolve from its early pig-like ancestor?
A.
50 thousand years
B.
5 million years
C.
5 thousand years
D.
50 million years
Answers
Answer:
Most likely 50 Thousand years
Answer:
D. 50-60 million years ago
Step-by-step explanation:
gym members at an local gym took a survey the results showed that 140 people rated the experience as very satisfactory this number represented 70% of the total number of people who took the survey How many people at the gym took the survey?
pls help
Answers
First.... 140 = 70 x 2
70 is 70% of 100
So, if 70 is 70% of 100, then 140 would be 70% of 200.
Hope this helped.
Paul
Write 23/80 as a decimal number? This is due today
Answers
Answer:
0.2875 or rounded to 0.29
Step-by-step explanation:
Answer:
0.2875
All you have to do is divide
9 gal 1qt -5 gal 3qt
Answers
Answer:
3 gallons & 2 quarts.
Step-by-step explanation:
9 gallons & 1 quart - 5 gallons & 3 quarts
well, we know there are 4 quarts in a gallon
9 - 5 = 4, but we would break one gallon into 4 quarts to make subtracting the quarts easier, making it 3 gallons
5 quarts - 3 quarts = 2 quarts
your answer is 3 gallons & 2 quarts, have a nice day
Find the value of k if it is known that the line y=kx+2 goes through point: (-7,12)
Answers
Answer:
-10/7
Step-by-step explanation:
y=kx+2 (-7, 12)
12=k(-7)+2
12=-7k+2
-7k=12-2
-7k=10
k=10/-7
I am thinking of two numbers they add up to 121 and have a difference of 19. What are the two numbers?
thanks kiddos :P
Answers
Answer:
Step-by-step explanation:
101
Find the surface area.
15 m
Answers
Answer:
706.858347058
Step-by-step explanation:
equation- 4pi(r)^2
Answer:
15 in2
Step-by-step explanation:
3.14 * 15 m=15 in^2
A sphere and a cylinder have the same radius and height the volume of the cylinder is 48cm what is the volume of the sphere
Answers
Answer:
Step-by-step explanation:
Since they have the same height, the h of the cylinder must be 2r like the sphere.
[tex]V_c=h\pi r^2,\ given\ h=2r,\ V_c=2\pi r^3,\ 2\pi r^3=48,\ r^3=\frac{24}{\pi}\\ \\ V_s=\frac{4\pi r^3}{3},\ V_s=32 cm^3[/tex]
Marco is buying Christmas presents for his five family members. He would like to spend less than $175 total. On average, how much can he spend on each person?
Answers
Answer:
$35 per person
Step-by-step explanation:
If he is buying for five people, that would just be 175/5 which is 35.
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Answers
Step-by-step explanation:
1:the range
2:positive interval
3:increasing interval
4:maximum point
5:domain
6:decreasing intveral
7: negative interval
Answer:
As per the graph we have:
1: the range
[-4, +∞)2: positive interval
(-∞, 1) ∪ (5, +∞)3: increasing interval
(3, +∞)4: maximum point
Undefined5: domain
x = (-∞, +∞)6: decreasing interval
(-∞, 3)7: negative interval
(1, 5)In a football marathon , a team lost 4 games and won 7.what is the ratio of win to loses?
Answers
The ratio of the measures of the sides of a triangle is 3:5:7, and its perimeter is 135 feet. Find the measure of each side of the triangle.
a. x = 9
b. 13.5 ft, 22.5 ft, 31.5 ft
c. 27 ft, 45 ft, 63 ft
d. 25 ft, 45 ft, 65 ft
Answers
Answer:
The correct answer is C. 27 ft, 45 ft, 63 ft.
Step-by-step explanation:
Given that the ratio of the measures of the sides of a triangle is 3: 5: 7, and its perimeter is 135 feet, in order to find the measure of each side of the triangle, the following calculation must be performed:
3 + 5 + 7 = 15
135/15 = 9
9 x 3 = 27
9 x 5 = 45
9 x 7 = 63
Therefore, the measures of the sides of the triangle are 27 ft, 45 ft, and 63 ft.
Here is a balanced hanger.
1. Write an equation representing this hanger.
2. Find the weight of one circle. Show or explain how you found it.
25
Answers
Answer:
the weight of one circle is 6.25
Step-by-step explanation:
25 divided by 4=6.25
Check:
6.25x4=25
4w=25 is the equation which represents the hanger and weight of one circle is 6.25 units.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A hanger stays balanced when the weights on both sides are equal.
The hanger has four circles on left hand side and value 25 on the right hand side
By equating both we get
w+w+w+w=25
4w=25
4w=25 is an equation representing this hanger.
Now let us find the weight of one circle
Divide both sides by 4
w=25/4
w=6.25
Hence, 4w=25 is the equation which represents the hanger and weight of one circle is 6.25 units.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
A survey is conducted to determine the percentage of students at state universities who change their major at least once. In a SRS of 100 students 78% indicated that they graduated with a major different from the one with which they entered college. Determine a 95% confidence interval for the percentage of students who change their major.
Answers
Answer:
95% confidence interval for the percentage of students who change their major
(0.69881 , 0.86119)
Step-by-step explanation:
Step(i):-
Given that the sample size 'n' = 100
Given that the sample proprtion
p = 78% = 0.78
Level of significance =0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
The 95% of confidence interval is determined by
[tex](p^{-} -Z_{0.05} \frac{\sqrt{p(1-p)} }{\sqrt{n} } , p^{-} +Z_{0.05} \frac{\sqrt{p(1-p)} )}{\sqrt{n} })[/tex]
[tex](0.78 - 1.96 \frac{\sqrt{0.78(1-0.78)} }{\sqrt{100} } , 0.78 +1.96 \frac{\sqrt{0.78(1-0.78} )}{\sqrt{100} })[/tex]
(0.78 - 0.08119,0.78 + 0.08119 )
(0.69881 , 0.86119)
Final answer:-
95% confidence interval for the percentage of students who change their major
(0.69881 , 0.86119)
Which property is illustrated by the equation 3 (m n) = (3 m) n?
associative property
commutative property
distributive property
identity property
Answers
Answer:
a...
associative property
Step-by-step explanation:
trust me
Answer:
it is A.
Step-by-step explanation:
hope this helps!
Determine the slope, if it exists, of the graph of the given linear equation
y= - 1.6x + 7
Algebra
Answers
Answer:
Step-by-step explanation:
The slope intercept form of a line is
y=mx+b where m=slope and b=y intercept
So the slope of that line is -1.6
You’re welcome
To win a lottery, 7 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one ticket, what is the probability that they have the winning ticket?
Answers
Answer:
9%
Step-by-step explanation:
help help help help help help help help help help help help help help help help help help help
Answers
Answer:
2/6
Step-by-step explanation:
Since you already have 6 socks in total and you already know 4 of the color socks are either green or blue, all you would have to do is 6-4 to equal 2 and therefor making 2/6
Hope this helps :)
Answer:
im very late but 2/6
Step-by-step explanation:
-4x + 11y = 15
X = 2y
Solve using substitution
X =
Y=
Answers
X=2(5)=10
To check your work -4(10)+11(5)=15
15=15
(x²-7x+4)-(-x²+5x+1) standard form
Answers
Answer:
2x2-12x+3
Step-by-step explanation:
(x2-7x+4)-(-x2+5x+1)
x2-7x+4+x2-5x-1
2x2-12x+3
Hey please helppp meeeeeeeeee asap
Answers
Answer:
Step-by-step explanation:
H-23=53
H=76
Answer:
H - 23 = 53
+23. +23
H = 76
Step-by-step explanation:
Add 23 to both sides with that h = 76